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T. Y. Hou and
J. Lowengrub and
M. J. Shelley The convergence of an exact
desingularization for vortex methods . . 1--18
Robert D. Russell and
David M. Sloan and
Manfred R. Trummer Some numerical aspects of computing
inertial manifolds . . . . . . . . . . . 19--43
Brett M. Averick and
James M. Ortega Fast solution of nonlinear Poisson-type
equations . . . . . . . . . . . . . . . 44--48
John C. Strikwerda and
Carl D. Scarbnick A domain decomposition method for
incompressible viscous flow . . . . . . 49--67
Jia Yang Sun Some practical aspects of exploratory
projection pursuit . . . . . . . . . . . 68--80
Eleanor Chu and
Alan George Parallel algorithms and subcube
embedding on a hypercube . . . . . . . . 81--94
Uri M. Ascher and
Linda R. Petzold Stability of computational methods for
constrained dynamics systems . . . . . . 95--120
Shing-Tung Yau and
Ya Yan Lu Reducing the symmetric matrix eigenvalue
problem to matrix multiplications . . . 121--136
Roland W. Freund and
Martin H. Gutknecht and
Noël M. Nachtigal An implementation of the look-ahead
Lanczos algorithm for non-Hermitian
matrices . . . . . . . . . . . . . . . . 137--158
B. Alpert and
G. Beylkin and
R. Coifman and
V. Rokhlin Wavelet-like bases for the fast solution
of second-kind integral equations . . . 159--184
Michael G. Edwards and
J. Tinsley Oden and
Leszek Demkowicz An $h$-$r$-adaptive approximate Riemann
solver for the Euler equations in two
dimensions . . . . . . . . . . . . . . . 185--217
Chong Gu Interaction splines with regular data:
automatically smoothing digital images 218--230
Stephen J. Wright A collection of problems for which
Gaussian elimination with partial
pivoting is unstable . . . . . . . . . . 231--238
Xiao-Chuan Cai An optimal two-level overlapping domain
decomposition method for elliptic
problems in two and three dimensions . . 239--247
William F. Trench A note on computing eigenvalues of
banded Hermitian Toeplitz matrices . . . 248--252
Stanley C. Eisenstat and
Joseph W. H. Liu Exploiting structural symmetry in a
sparse partial pivoting code . . . . . . 253--257
R. A. Trompert and
J. G. Verwer Analysis of the implicit Euler local
uniform grid refinement method . . . . . 259--278
K. O. Kortanek Vector-supercomputer experiments with
the primal affine linear programming
scaling algorithm . . . . . . . . . . . 279--294
Mu Sheng Wei and
George Majda Numerical computation of the scattering
frequencies for a cylindrically
symmetric potential . . . . . . . . . . 295--309
Yvon Maday and
Dan Meiron and
Anthony T. Patera and
Einar M. Rònquist Analysis of iterative methods for the
steady and unsteady Stokes problem:
application to spectral element
discretizations . . . . . . . . . . . . 310--337
P. W. Sharp and
E. Smart Explicit Runge--Kutta pairs with one
more derivative evaluation than the
minimum . . . . . . . . . . . . . . . . 338--348
Hans Munthe-Kaas Superparallel FFTs . . . . . . . . . . . 349--367
Richard G. Carter Numerical experience with a class of
algorithms for nonlinear optimization
using inexact function and gradient
information . . . . . . . . . . . . . . 368--388
Jun Liu A multiresolution method for distributed
parameter estimation . . . . . . . . . . 389--405
Barry F. Smith A parallel implementation of an
iterative substructuring algorithm for
problems in three dimensions . . . . . . 406--423
Tamar Schlick Modified Cholesky factorizations for
sparse preconditioners . . . . . . . . . 424--445
Fernando L. Alvarado and
Robert Schreiber Optimal parallel solution of sparse
triangular systems . . . . . . . . . . . 446--460
Youcef Saad A flexible inner-outer preconditioned
GMRES algorithm . . . . . . . . . . . . 461--469
Roland W. Freund A transpose-free quasi-minimal residual
algorithm for non-Hermitian linear
systems . . . . . . . . . . . . . . . . 470--482
Nadine Aubry and
Wen Yu Lian and
Edriss S. Titi Preserving symmetries in the proper
orthogonal decomposition . . . . . . . . 483--505
William L. Briggs and
Van Emden Henson Wavelets and multigrid . . . . . . . . . 506--510
C. J. Dalzell and
J. O. Ramsay Computing reproducing kernels with
arbitrary boundary constraints . . . . . 511--518
Andrew T. Ogielski and
William Aiello Sparse matrix computations on parallel
processor arrays . . . . . . . . . . . . 519--530
Thomas Huckle Some aspects of circulant
preconditioners . . . . . . . . . . . . 531--541
Jack J. Dongarra and
Majed Sidani A parallel algorithm for the
nonsymmetric eigenvalue problem . . . . 542--569
Achiya Dax On row relaxation methods for large
constrained least squares problems . . . 570--584
Ronald B. Morgan and
David S. Scott Preconditioning the Lanczos algorithm
for sparse symmetric eigenvalue problems 585--593
Tao Tang The Hermite spectral method for
Gaussian-type functions . . . . . . . . 594--606
A. Brandt and
I. Yavneh Accelerated multigrid convergence and
high-Reynolds recirculating flows . . . 607--626
John Greenstadt Solution of elliptic systems of partial
differential equations by cell
discretization . . . . . . . . . . . . . 627--653
Mark T. Jones and
Paul E. Plassmann A parallel graph coloring heuristic . . 654--669
Christian H. Bischof and
C.-T. Pan and
Ping Tak Peter Tang A Cholesky up- and downdating algorithm
for systolic and SIMD architectures . . 670--676
Sven Erik Mattsson and
Gustaf Söderlind Index reduction in
differential-algebraic equations using
dummy derivatives . . . . . . . . . . . 677--692
S. Saarinen and
R. Bramley and
G. Cybenko Ill-conditioning in neural network
training problems . . . . . . . . . . . 693--714
A. Hadjidimos and
E. N. Houstis and
J. R. Rice and
E. A. Vavalis Iterative line cubic spline collocation
methods for elliptic partial
differential equations in several
dimensions . . . . . . . . . . . . . . . 715--734
Kuiyuan Li and
Tien-Yien Li An algorithm for symmetric tridiagonal
eigenproblems: divide and conquer with
homotopy continuation . . . . . . . . . 735--751
Charbel Farhat and
Po-Shu Chen and
François-Xavier Roux The dual Schur complement method with
well-posed local Neumann problems:
regularization with a perturbed
Lagrangian formulation . . . . . . . . . 752--759
Esmond Ng and
Barry W. Peyton A supernodal Cholesky factorization
algorithm for shared-memory
multiprocessors . . . . . . . . . . . . 761--769
Paul H. Calamai and
Luís N. Vicente Generating linear and linear-quadratic
bilevel programming problems . . . . . . 770--782
Nicholas J. Higham The accuracy of floating point summation 783--799
K. R. Jackson and
W. L. Seward Adaptive linear equation solvers in
codes for large stiff systems of ODEs 800--823
Richard B. Pember Numerical methods for hyperbolic
conservation laws with stiff relaxation.
II. Higher-order Godunov methods . . . . 824--859
L. Rández Optimizing the numerical integration of
initial value problems in shooting
methods for linear boundary value
problems . . . . . . . . . . . . . . . . 860--871
B. Leimkuhler Estimating waveform relaxation
convergence . . . . . . . . . . . . . . 872--889
H. C. Elman and
Xian Zhong Guo Performance enhancements and parallel
algorithms for two multilevel
preconditioners . . . . . . . . . . . . 890--913
Richard B. Pelz Parallel compact FFTs for real sequences 914--935
M. P. Calvo and
J. M. Sanz-Serna The development of variable-step
symplectic integrators, with application
to the two-body problem . . . . . . . . 936--952
Marie-Hél\`ene Lallemand and
Barry Koren Iterative defect correction and
multigrid accelerated explicit time
stepping schemes for the steady Euler
equations . . . . . . . . . . . . . . . 953--970
Richard M. Beam and
Robert F. Warming The asymptotic spectra of banded
Toeplitz and quasi-Toeplitz matrices . . 971--1006
Zhao Jun Bai and
Hong Yuan Zha A new preprocessing algorithm for the
computation of the generalized singular
value decomposition . . . . . . . . . . 1007--1012
Raymond H. Chan and
Kwok-Po Ng Fast iterative solvers for
Toeplitz-plus-band systems . . . . . . . 1013--1019
Martin H. Gutknecht Variants of BICGSTAB for matrices with
complex spectrum . . . . . . . . . . . . 1020--1033
Esmond G. Ng and
Barry W. Peyton Block sparse Cholesky algorithms on
advanced uniprocessor computers . . . . 1034--1056
Òistein Bòe A monotone Petrov--Galerkin method for
quasilinear parabolic differential
equations . . . . . . . . . . . . . . . 1057--1071
Zhi Qiang Cai and
Charles I. Goldstein and
Joseph E. Pasciak Multilevel iteration for mixed finite
element systems with penalty . . . . . . 1072--1088
Moody T. Chu and
J. Loren Watterson On a multivariate eigenvalue problem. I.
Algebraic theory and a power method . . 1089--1106
J. S. Lowengrub and
M. J. Shelley and
B. Merriman High-order and efficient methods for the
vorticity formulation of the Euler
equations . . . . . . . . . . . . . . . 1107--1142
Jean-Philippe Brunet and
Jill P. Mesirov and
Alan Edelman Hypercube algorithms for direct $
{N}$-body solvers for different
granularities . . . . . . . . . . . . . 1143--1158
Ray S. Tuminaro and
David E. Womble Analysis of the multigrid FMV cycle on
large-scale parallel machines . . . . . 1159--1173
James G. Nagy Fast inverse $ {QR} $ factorization for
Toeplitz matrices . . . . . . . . . . . 1174--1193
Ivar Lie Using implicit ODE methods with
iterative linear equation solvers in
spectral methods . . . . . . . . . . . . 1194--1213
Erlendur Steinthorsson and
Tom I-P. Shih Methods for reducing
approximate-factorization errors in two-
and three-factored schemes . . . . . . . 1214--1236
M. P. Calvo and
J. M. Sanz-Serna High-order symplectic
Runge--Kutta--Nyström methods . . . . . . 1237--1252
Alex Pothen and
Chunguang Sun A mapping algorithm for parallel sparse
Cholesky factorization . . . . . . . . . 1253--1257
Woody Lichtenstein and
S. Lennart Johnsson Block-cyclic dense linear algebra . . . 1259--1288
Arnold Stromberg Computing the Exact Least Median of
Squares Estimate and Stability
Diagnostics in Multiple Linear
Regression . . . . . . . . . . . . . . . 1289--1299
Dalin Tang and
Samuel Rankin Numerical and asymptotic solutions for
peristaltic motion of nonlinear viscous
flows with elastic free boundaries . . . 1300--1319
Bruno Lang A parallel algorithm for reducing
symmetric banded matrices to tridiagonal
form . . . . . . . . . . . . . . . . . . 1320--1338
N. Anders Petersson Computing periodic gravity waves on
water by using moving composite
overlapping grids . . . . . . . . . . . 1339--1358
Miguel F. Anjos A modified Broyden update with
interpolation . . . . . . . . . . . . . 1359--1367
A. Dutt and
V. Rokhlin Fast Fourier transforms for
nonequispaced data . . . . . . . . . . . 1368--1393
Carsten W. Schulz-Rinne and
James P. Collins and
Harland M. Glaz Numerical solution of the Riemann
problem for two-dimensional gas dynamics 1394--1414
Barry Joe Construction of $k$-dimensional Delaunay
triangulations using local
transformations . . . . . . . . . . . . 1415--1436
Irad Yavneh A method for devising efficient
multigrid smoothers for complicated PDE
systems . . . . . . . . . . . . . . . . 1437--1463
Zhao Jun Bai and
James W. Demmel Computing the generalized singular value
decomposition . . . . . . . . . . . . . 1464--1486
Per Christian Hansen and
Dianne Prost O'Leary The use of the $ {L}$-curve in the
regularization of discrete ill-posed
problems . . . . . . . . . . . . . . . . 1487--1503
Christian Cabos Error Bounds for Dynamic Responses in
Forced Vibration Problems . . . . . . . 1--15
Éric Gourdin and
Brigitte Jaumard and
Brenda MacGibbon Global Optimization Decomposition
Methods for Bounded Parameter Minimax
Risk Evaluation . . . . . . . . . . . . 16--35
C. S. Kenney and
A. J. Laub Small-Sample Statistical Condition
Estimates for General Matrix Functions 36--61
M. Crouzeix and
B. Philippe and
M. Sadkane The Davidson method . . . . . . . . . . 62--76
W\lodek Proskurowski and
Panayot S. Vassilevski Preconditioning Capacitance Matrix
Problems in Domain Imbedding . . . . . . 77--88
Charles H. Tong A Family of Quasi-Minimal Residual
Methods for Nonsymmetric Linear Systems 89--105
G. Caginalp and
E. Socolovsky Phase Field Computations of
Single-Needle Crystals, Crystal Growth,
and Motion by Mean Curvature . . . . . . 106--126
John Bell and
Marsha Berger and
Jeff Saltzman and
Mike Welcome Three-Dimensional Adaptive Mesh
Refinement for Hyperbolic Conservation
Laws . . . . . . . . . . . . . . . . . . 127--138
Nicholas J. Higham and
Alex Pothen Stability of the Partitioned Inverse
Method for Parallel Solution of Sparse
Triangular Systems . . . . . . . . . . . 139--148
Richard E. Ewing and
Svetozara I. Petrova and
Panayot S. Vassilevski Two-Level Local Refinement
Preconditioners for Nonsymmetric and
Indefinite Elliptic Problems . . . . . . 149--163
Raymond H. Chan and
Ping Tak Peter Tang Fast band-Toeplitz preconditioners for
Hermitian Toeplitz systems . . . . . . . 164--171
Jinchao Xu and
Jinshui Qin Some Remarks on a Multigrid
Preconditioner . . . . . . . . . . . . . 172--184
John Strain Fast Adaptive Methods for the Free-Space
Heat Equation . . . . . . . . . . . . . 185--206
Yali Amit A Nonlinear Variational Problem for
Image Matching . . . . . . . . . . . . . 207--224
P. J. Young A Reformulation of the Partial Least
Squares Regression Algorithm . . . . . . 225--230
Jinchao Xu A Novel Two-Grid Method for Semilinear
Elliptic Equations . . . . . . . . . . . 231--237
Jean-Philippe Brunet and
Alan Edelman and
Jill P. Mesirov Erratum: ``Hypercube algorithms for
direct $N$-body solvers for different
granularities'' [SIAM J. Sci. Comput. 14
(1993), no. 5, 1143--1158, MR 94e:70002] 238--238
Agnar Höskuldsson Data Analysis, Matrix Decompositions,
and Generalized Inverse . . . . . . . . 239--262
Andrew L. Zachary and
Andrea Malagoli and
Phillip Colella A higher-order Godunov method for
multidimensional ideal
magnetohydrodynamics . . . . . . . . . . 263--284
Brett M. Averick and
Jorge J. Moré and
Christian H. Bischof and
Alan Carle and
Andreas Griewank Computing large sparse Jacobian matrices
using automatic differentiation . . . . 285--294
Lu Zhou and
Homer F. Walker Residual Smoothing Techniques for
Iterative Methods . . . . . . . . . . . 297--312
Roland W. Freund and
Noël M. Nachtigal An Implementation of the QMR Method
Based on Coupled Two-Term Recurrences 313--337
T. F. Chan and
E. Gallopoulos and
V. Simoncini and
T. Szeto and
C. H. Tong A quasi-minimal residual variant of the
Bi-CGSTAB algorithm for nonsymmetric
systems . . . . . . . . . . . . . . . . 338--347
A. Greenbaum and
L. Gurvits Max-Min Properties of Matrix Factor
Norms . . . . . . . . . . . . . . . . . 348--358
Anne Greenbaum and
Lloyd N. Trefethen GMRES/CR and Arnoldi/Lanczos as Matrix
Approximation Problems . . . . . . . . . 359--368
Gerhard Starke Alternating Direction Preconditioning
for Nonsymmetric Systems of Linear
Equations . . . . . . . . . . . . . . . 369--384
Sverker Holmgren and
Kurt Otto Semicirculant Preconditioners for
First-Order Partial Differential
Equations . . . . . . . . . . . . . . . 385--407
Bernd Fischer and
Roland W. Freund On adaptive weighted polynomial
preconditioning for Hermitian positive
definite matrices . . . . . . . . . . . 408--426
Wayne Joubert A Robust GMRES-Based Adaptive Polynomial
Preconditioning Algorithm for
Nonsymmetric Linear Systems . . . . . . 427--439
John N. Shadid and
Ray S. Tuminaro A comparison of preconditioned
nonsymmetric Krylov methods on a
large-scale MIMD machine . . . . . . . . 440--459
Claude Pommerell and
Wolfgang Fichtner Memory Aspects and Performance of
Iterative Solvers . . . . . . . . . . . 460--473
T. Manteuffel and
S. McCormick and
J. Morel and
S. Oliveira and
G. Yang A Parallel Version of a Multigrid
Algorithm for Isotropic Transport
Equations . . . . . . . . . . . . . . . 474--493
W. Wu and
P. J. Aston and
A. Spence Rotating waves from Hopf bifurcations in
equations with $ {\rm O}(2) $-symmetry 495--510
Rüdiger Weiss Error-minimizing Krylov subspace methods 511--527
Gary Ulrich and
Layne T. Watson Positivity Conditions for Quartic
Polynomials . . . . . . . . . . . . . . 528--544
Michael Griebel Multilevel Algorithms Considered as
Iterative Methods on Semidefinite
Systems . . . . . . . . . . . . . . . . 547--565
J. H. Bramble and
C. I. Goldstein and
J. E. Pasciak Analysis of $ {V}$-cycle multigrid
algorithms for forms defined by
numerical quadrature . . . . . . . . . . 566--576
U. Rüde On the Multilevel Adaptive Iterative
Method . . . . . . . . . . . . . . . . . 577--586
Xiao-Chuan Cai Multiplicative Schwarz methods for
parabolic problems . . . . . . . . . . . 587--603
Maksymilian Dryja and
Olof B. Widlund Domain Decomposition Algorithms with
Small Overlap . . . . . . . . . . . . . 604--620
Xuejun Zhang Multilevel Schwarz methods for the
biharmonic Dirichlet problem . . . . . . 621--644
C. T. Kelley and
E. W. Sachs Multilevel Algorithms for Constrained
Compact Fixed Point Problems . . . . . . 645--667
Bernard Bialecki Preconditioned Richardson and minimal
residual iterative methods for piecewise
Hermite bicubic orthogonal spline
collocation equations . . . . . . . . . 668--680
Alexandre Ern and
Vincent Giovangigli and
David E. Keyes and
Mitchell D. Smooke Towards Polyalgorithmic Linear System
Solvers for Nonlinear Elliptic Problems 681--703
Hans D. Mittelmann and
K.-T. Chang and
D. F. Jankowski and
G. P. Neitzel Iterative solution of the eigenvalue
problem in Hopf bifurcation for the
Boussinesq equations . . . . . . . . . . 704--712
K. Nabors and
F. T. Korsmeyer and
F. T. Leighton and
J. White Preconditioned, Adaptive,
Multipole-Accelerated Iterative Methods
for Three-Dimensional First-Kind
Integral Equations of Potential Theory 713--735
C. R. Vogel and
J. G. Wade Iterative SVD-Based Methods for
Ill-Posed Problems . . . . . . . . . . . 736--754
Björn Engquist and
Stanley Osher and
Sifen Zhong Fast Wavelet Based Algorithms for Linear
Evolution Equations . . . . . . . . . . 755--775
Wei Zhang Huang and
David M. Sloan A Simple Adaptive Grid Method in Two
Dimensions . . . . . . . . . . . . . . . 776--797
Ke Chen Error Equidistribution and Mesh
Adaptation . . . . . . . . . . . . . . . 798--818
G. Chesshire and
W. D. Henshaw A Scheme for Conservative Interpolation
on Overlapping Grids . . . . . . . . . . 819--845
C. Coray and
J. Koebbe High Order Accuracy Optimized Methods
for Constrained Numerical Solutions of
Hyperbolic Conservation Laws . . . . . . 846--865
Marc Garbey Domain Decomposition to Solve Transition
Layers and Asymptotics . . . . . . . . . 866--891
Antonio Marquina Local Piecewise Hyperbolic
Reconstruction of Numerical Fluxes for
Nonlinear Scalar Conservation Laws . . . 892--915
P. B. Monk and
A. K. Parrott A dispersion analysis of finite element
methods for Maxwell's equations . . . . 916--937
Uri M. Ascher and
Raymond J. Spiteri Collocation Software for Boundary Value
Differential-Algebraic Equations . . . . 938--952
David S. Watkins Shifting strategies for the parallel $
{QR} $ algorithm . . . . . . . . . . . . 953--958
Shui-Nee Chow and
Erik S. Van Vleck A Shadowing Lemma Approach to Global
Error Analysis for Initial Value ODES 959--976
Hans Petter Langtangen Numerical Solution of First Passage
Problems in Random Vibrations . . . . . 977--996
H. Schmitt Contour Dynamics and the Fast Multipole
Method . . . . . . . . . . . . . . . . . 997--1001
Pin T. Ng Smoothing Spline Score Estimation . . . 1003--1025
Svetozar D. Margenov and
Panayot S. Vassilevski Algebraic Multilevel Preconditioning of
Anisotropic Elliptic Problems . . . . . 1026--1037
Ching-Yuen Loh and
Meng-Sing Liou A Lagrangian random choice approach for
supersonic real gas flows . . . . . . . 1038--1058
S. Goedecker Remark on Algorithms to Find Roots of
Polynomials . . . . . . . . . . . . . . 1059--1063
Zi Cai Li The Schwarz alternating method for
singularity problems . . . . . . . . . . 1064--1082
Kendall E. Atkinson Two-grid iteration methods for linear
integral equations of the second kind on
piecewise smooth surfaces in $ {\bf R}^3
$ . . . . . . . . . . . . . . . . . . . 1083--1104
David H. Bailey and
Paul N. Swarztrauber A fast method for the numerical
evaluation of continuous Fourier and
Laplace transforms . . . . . . . . . . . 1105--1110
H. J. Taijeron and
A. G. Gibson and
C. Chandler Spline Interpolation and Smoothing on
Hyperspheres . . . . . . . . . . . . . . 1111--1125
S. N. Wood Monotonic Smoothing Splines Fitted by
Cross Validation . . . . . . . . . . . . 1126--1133
Maria Elizabeth G. Ong Uniform Refinement of a Tetrahedron . . 1134--1144
T. Y. Li and
Zhong Gang Zeng The Laguerre iteration in solving the
symmetric tridiagonal eigenproblem,
revisited . . . . . . . . . . . . . . . 1145--1173
Luciano Misici and
Francesco Zirilli Three-Dimensional Inverse Obstacle
Scattering for Time Harmonic Acoustic
Waves: a Numerical Method . . . . . . . 1174--1189
Yi Yan Sparse Preconditioned Iterative Methods
for Dense Linear Systems . . . . . . . . 1190--1200
Bruce A. Hendrickson and
David E. Womble The Torus-Wrap Mapping for Dense Matrix
Calculations on Massively Parallel
Computers . . . . . . . . . . . . . . . 1201--1226
Ralph Menikoff Errors When Shock Waves Interact Due to
Numerical Shock Width . . . . . . . . . 1227--1242
J. G. Verwer Gauss--Seidel iteration for stiff ODEs
from chemical kinetics . . . . . . . . . 1243--1250
William J. Morokoff and
Russel E. Caflisch Quasi-Random Sequences and Their
Discrepancies . . . . . . . . . . . . . 1251--1279
Arthur Sherman and
Michael Mascagni A Gradient Random Walk Method for
Two-Dimensional Reaction-Diffusion
Equations . . . . . . . . . . . . . . . 1280--1293
Russ Wolfinger and
Randy Tobias and
John Sall Computing Gaussian likelihoods and their
derivatives for general linear mixed
models . . . . . . . . . . . . . . . . . 1294--1310
David Lee and
Jyh Jen Horng Shiau Thin Plate Splines with Discontinuities
and Fast Algorithms for Their
Computation . . . . . . . . . . . . . . 1311--1330
Jürgen Götze On the parallel implementation of Jacobi
and Kogbetliantz algorithms . . . . . . 1331--1348
Tony F. Chan and
Tarek P. Mathew and
Jian Ping Shao Efficient Variants of the Vertex Space
Domain Decomposition Algorithm . . . . . 1349--1374
Luca Dieci and
Georg Bader Solution of the Systems Associated with
Invariant Tori Approximation. II:
Multigrid Methods . . . . . . . . . . . 1375--1400
Joseph G. Ecker and
Michael Kupferschmid and
Samuel P. Marin Performance of Several Optimization
Methods on Robot Trajectory Planning
Problems . . . . . . . . . . . . . . . . 1401--1412
Edward Rothberg and
Anoop Gupta An efficient block-oriented approach to
parallel sparse Cholesky factorization 1413--1439
Dirk P. Laurie and
Lucas M. Venter A two-phase algorithm for the Chebyshev
solution of complex linear equations . . 1440--1451
Mo Mu and
John R. Rice Preconditioning for Domain Decomposition
through Function Approximation . . . . . 1452--1466
Peter N. Brown and
Alan C. Hindmarsh and
Linda R. Petzold Using Krylov methods in the solution of
large-scale differential-algebraic
systems . . . . . . . . . . . . . . . . 1467--1488
Jie Shen Efficient spectral-Galerkin method. I.
Direct solvers of second- and
fourth-order equations using Legendre
polynomials . . . . . . . . . . . . . . 1489--1505
San Yih Lin and
Yan Shin Chin and
Tsuen Muh Wu A modified penalty method for Stokes
equations and its applications to
Navier--Stokes equations . . . . . . . . 1--19
A. Brandt and
V. Mikulinsky On Recombining Iterants in Multigrid
Algorithms and Problems with Small
Islands . . . . . . . . . . . . . . . . 20--28
J. C. Díaz and
K. Shenoi Domain decomposition and Schur
complement approaches to coupling the
well equations in reservoir simulation 29--39
Rolf Jeltsch and
Bert Pohl Waveform Relaxation with Overlapping
Splittings . . . . . . . . . . . . . . . 40--49
Xiang Gen Xia and
C.-C. Jay Kuo and
Zhen Zhang Signal Extrapolation in Wavelet
Subspaces . . . . . . . . . . . . . . . 50--73
Jie Shen Efficient spectral-Galerkin method. II.
Direct solvers of second- and
fourth-order equations using Chebyshev
polynomials . . . . . . . . . . . . . . 74--87
J.-A. Désidéri and
P. W. Hemker Convergence Analysis of the
Defect-Correction Iteration for
Hyperbolic Problems . . . . . . . . . . 88--118
M. R. Osborne and
G. K. Smyth A modified Prony algorithm for
exponential function fitting . . . . . . 119--138
A. Forsgren and
P. E. Gill and
W. Murray Computing modified Newton directions
using a partial Cholesky factorization 139--150
Robert I. McLachlan On the Numerical Integration of Ordinary
Differential Equations by Symmetric
Composition Methods . . . . . . . . . . 151--168
Hao Lu A Uniform-Consistency Barrier on
Finite-Difference Schemes of Positive
Type for Convection-Diffusion Equations 169--172
Giuseppe Gambolati and
Giorgio Pini and
Mario Putti Nested Iterations for Symmetric
Eigenproblems . . . . . . . . . . . . . 173--191
Chris Fraley and
Patrick J. Burns Large-Scale Estimation of Variance and
Covariance Components . . . . . . . . . 192--209
Joseph M. Maubach Local Bisection Refinement for
N-Simplicial Grids Generated by
Reflection . . . . . . . . . . . . . . . 210--227
Igor E. Kaporin and
Owe Axelsson On a Class of Nonlinear Equation Solvers
Based on the Residual Norm Reduction
Over a Sequence of Affine Subspaces . . 228--249
Xiao-Chuan Cai The Use of Pointwise Interpolation in
Domain Decomposition Methods with
Nonnested Meshes . . . . . . . . . . . . 250--256
Stephen L. Campbell and
E. Griepentrog Solvability of General Differential
Algebraic Equations . . . . . . . . . . 257--270
Markus Hegland An implementation of multiple and
multivariate Fourier transforms on
vector processors . . . . . . . . . . . 271--288
Mo Mu A New Family of Preconditioners for
Domain Decomposition . . . . . . . . . . 289--306
J. E. Dendy, Jr. and
C. C. Tazartes Grandchild of the Frequency
Decomposition Multigrid Method . . . . . 307--319
Aslak Tveito and
Ragnar Winther The Solution of Nonstrictly Hyperbolic
Conservation Laws May Be Hard to Compute 320--329
Bernard Bialecki and
Graeme Fairweather Matrix Decomposition Algorithms in
Orthogonal Spline Collocation for
Separable Elliptic Boundary Value
Problems . . . . . . . . . . . . . . . . 330--347
Randall J. LeVeque and
Keh Ming Shyue One-Dimensional Front Tracking Based on
High Resolution Wave Propagation Methods 348--377
Magolu Monga-Made Ordering Strategies for Modified Block
Incomplete Factorizations . . . . . . . 378--399
Nicholas J. Higham Stability of Parallel Triangular System
Solvers . . . . . . . . . . . . . . . . 400--413
W\lodzimierz Proskurowski and
Panayot S. Vassilevski Preconditioning Nonsymmetric and
Indefinite Capacitance Matrix Problems
in Domain Imbedding . . . . . . . . . . 414--430
Bernard Bialecki and
Karin A. Remington Fourier matrix decomposition methods for
the least squares solution of singular
Neumann and periodic Hermite bicubic
collocation problems . . . . . . . . . . 431--451
Bruce Hendrickson and
Robert Leland An Improved Spectral Graph Partitioning
Algorithm for Mapping Parallel
Computations . . . . . . . . . . . . . . 452--469
Ramesh Natarajan Domain decomposition using spectral
expansions of Steklov--Poincaré operators 470--495
L. Gurvits and
A. Greenbaum A Further Note on Max-Min Properties of
Matrix Factor Norms . . . . . . . . . . 496--499
John M. Conroy and
Louis J. Podrazik A Parallel Inertia Method for Finding
Eigenvalues on Vector and SIMD
Architectures . . . . . . . . . . . . . 500--505
Per Christian Hansen Test Matrices for Regularization Methods 506--512
Roland Hunt Three-Dimensional Flow in a General Tube
Using a Combination of Finite and
Pseudospectral Discretisations . . . . . 513--530
G. Horton and
S. Vandewalle and
P. Worley An Algorithm with Polylog Parallel
Complexity for Solving Parabolic Partial
Differential Equations . . . . . . . . . 531--541
Morten Bjòrhus The ODE Formulation of Hyperbolic PDEs
Discretized by the Spectral Collocation
Method . . . . . . . . . . . . . . . . . 542--557
M. Berzins Temporal Error Control for
Convection-Dominated Equations in Two
Space Dimensions . . . . . . . . . . . . 558--580
Francesc Ar\`andiga and
Vicente F. Candela and
Rosa Donat Fast Multiresolution Algorithms for
Solving Linear Equations: a Comparative
Study . . . . . . . . . . . . . . . . . 581--600
T. Manteuffel and
S. McCormick and
J. Morel and
S. Oliveira and
G. Yang A fast multigrid algorithm for isotropic
transport problems. I. Pure scattering 601--635
Takumi Washio and
Ken Hayami Overlapped Multicolor MILU
Preconditioning . . . . . . . . . . . . 636--650
Kendall E. Atkinson and
David Chien Piecewise Polynomial Collocation for
Boundary Integral Equations . . . . . . 651--681
Fabio Di Benedetto Analysis of preconditioning techniques
for ill-conditioned Toeplitz matrices 682--697
Ebrahim M. Kasenally GMBACK: a Generalised Minimum Backward
Error Algorithm for Nonsymmetric Linear
Systems . . . . . . . . . . . . . . . . 698--719
W. Sun Iterative Algorithms for Orthogonal
Spline Collocation Linear Systems . . . 720--737
Jan M. ten Vregelaar On Computing Objective Function and
Gradient in the Context of Least Squares
Fitting a Dynamic Errors-In-Variables
Model . . . . . . . . . . . . . . . . . 738--753
James Hilditch and
Phillip Colella A Front Tracking Method for Compressible
Flames in One Dimension . . . . . . . . 755--772
Timothy N. Phillips and
Alaeddin Malek Multidomain collocation methods for the
stream function formulation of the
Navier--Stokes equations . . . . . . . . 773--797
L. L. Stell and
S. F. Shen A fixed domain method for injection
governed by the Stokes equations . . . . 798--818
John A. Trangenstein Adaptive Mesh Refinement for Wave
Propagation in Nonlinear Solids . . . . 819--839
Leonid Yu. Zaslavsky An Adaptive Algebraic Multigrid for
Reactor Criticality Calculations . . . . 840--847
G. Horton and
S. Vandewalle A Space--time Multigrid Method for
Parabolic Partial Differential Equations 848--864
Michael A. Epton and
Benjamin Dembart Multipole translation theory for the
three-dimensional Laplace and Helmholtz
equations . . . . . . . . . . . . . . . 865--897
Alain Sei A Family of Numerical Schemes for the
Computation of Elastic Waves . . . . . . 898--916
V. Simoncini and
E. Gallopoulos An Iterative Method for Nonsymmetric
Systems with Multiple Right-Hand Sides 917--933
Fredrik Manne and
Hjálmtýr Hafsteinsson Efficient sparse Cholesky factorization
on a massively parallel SIMD computer 934--950
Xiao-Qing Jin A note on preconditioned block Toeplitz
matrices . . . . . . . . . . . . . . . . 951--955
Roy Mathias The Instability of Parallel Prefix
Matrix Multiplication . . . . . . . . . 956--973
G. Cortelazzo and
G. A. Mian and
M. Morandini Rational Multiple Criterion
Approximation and Rational Complex
Approximation by Differential
Correction-Type Algorithms . . . . . . . 974--991
John Strain Locally Corrected Multidimensional
Quadrature Rules for Singular Functions 992--1017
F. Collino and
P. Joly Splitting of Operators, Alternate
Directions, and Paraxial Approximations
for the Three-Dimensional Wave Equation 1019--1048
Ronnie Wallace and
David M. Sloan Numerical Solution of a Nonlinear
Dissipative System Using a
Pseudospectral Method and Inertial
Manifolds . . . . . . . . . . . . . . . 1049--1070
Bengt Fornberg A Pseudospectral Approach for Polar and
Spherical Geometries . . . . . . . . . . 1071--1081
C. Leonard Berman Grid--Multipole Calculations . . . . . . 1082--1091
Shlomo Ta'asan and
Hong Zhang On the Multigrid Waveform Relaxation
Method . . . . . . . . . . . . . . . . . 1092--1104
Michael Griebel Parallel Domain-Oriented Multilevel
Methods . . . . . . . . . . . . . . . . 1105--1125
G. F. Carey and
A. I. Pehlivanov and
P. S. Vassilevski Least-Squares Mixed Finite Element
Methods for Non-Selfadjoint Elliptic
Problems: II. Performance of Block-ILU
Factorization Methods . . . . . . . . . 1126--1136
Mark W. Reichelt and
Jacob K. White and
Jonathan Allen Optimal Convolution SOR Acceleration of
Waveform Relaxation with Application to
Parallel Simulation of Semiconductor
Devices . . . . . . . . . . . . . . . . 1137--1158
Michele Benzi and
Carl D. Meyer A Direct Projection Method for Sparse
Linear Systems . . . . . . . . . . . . . 1159--1176
Erik S. Van Vleck Numerical Shadowing Near Hyperbolic
Trajectories . . . . . . . . . . . . . . 1177--1189
Richard H. Byrd and
Peihuang Lu and
Jorge Nocedal and
Ci You Zhu A Limited Memory Algorithm for Bound
Constrained Optimization . . . . . . . . 1190--1208
Lars-Erik Andersson and
Tommy Elfving Best constrained approximation in
Hilbert space and interpolation by cubic
splines subject to obstacles . . . . . . 1209--1232
David H. Bailey and
Paul N. Swarztrauber Efficient Detection of a Continuous-Wave
Signal with a Linear Frequency Drift . . 1233--1239
Mark H. Carpenter and
David Gottlieb and
Saul Abarbanel and
Wai Sun Don The Theoretical Accuracy of Runge--Kutta
Time Discretizations for the Initial
Boundary Value Problem: a Study of the
Boundary Error . . . . . . . . . . . . . 1241--1252
Wai Sun Don and
Alex Solomonoff Accuracy and speed in computing the
Chebyshev collocation derivative . . . . 1253--1268
Anwei Liu and
Barry Joe Quality Local Refinement of Tetrahedral
Meshes Based on Bisection . . . . . . . 1269--1291
Barry Joe Construction of Three-Dimensional
Improved-Quality Triangulations Using
Local Transformations . . . . . . . . . 1292--1307
Ning Hu and
I. Norman Katz Multi-P Methods: Iterative Algorithms
for the P-Version of the Finite Element
Analysis . . . . . . . . . . . . . . . . 1308--1332
Donald J. McGillen A particle scheme incorporating an
elliptic approximation for the
relativistic Vlasov--Maxwell system . . 1333--1348
D. M. Gritsis and
C. C. Pantelides and
R. W. H. Sargent Optimal Control of Systems Described by
Index Two Differential-Algebraic
Equations . . . . . . . . . . . . . . . 1349--1366
K. F. C. Yiu On the Optimal Control Method for
Airfoil and Cascade Analysis . . . . . . 1367--1386
L. Desbat and
D. Girard The ``minimum reconstruction error''
choice of regularization parameters:
some more efficient methods and their
application to deconvolution problems 1387--1403
Cleve Ashcraft Compressed Graphs and the Minimum Degree
Algorithm . . . . . . . . . . . . . . . 1404--1411
R. J. Renka and
J. W. Neuberger Minimal surfaces and Sobolev gradients 1412--1427
Trond Mannseth An Analysis of the Robustness of Some
Incomplete Factorizations . . . . . . . 1428--1450
Pierluigi Amodio and
Francesca Mazzia A parallel Gauss--Seidel method for
block tridiagonal linear systems . . . . 1451--1461
Padma Raghavan Distributed sparse Gaussian elimination
and orthogonal factorization . . . . . . 1462--1477
Mario Arioli and
Iain S. Duff and
Daniel Ruiz and
Miloud Sadkane Block Lanczos techniques for
accelerating the block Cimmino method 1478--1511
Kim-Chuan Toh and
Lloyd N. Trefethen Calculation of pseudospectra by the
Arnoldi iteration . . . . . . . . . . . 1--15
Stanley C. Eisenstat and
Homer F. Walker Choosing the forcing terms in an inexact
Newton method . . . . . . . . . . . . . 16--32
Howard Elman and
David Silvester Fast nonsymmetric iterations and
preconditioning for Navier--Stokes
equations . . . . . . . . . . . . . . . 33--46
Lina Hemmingsson and
Kurt Otto Analysis of semi-Toeplitz
preconditioners for first-order PDEs . . 47--64
Alfred A. Lorber and
Graham F. Carey and
Wayne D. Joubert ODE Recursions and Iterative Solvers for
Linear Equations . . . . . . . . . . . . 65--77
Jussi Rahola Solution of Dense Systems of Linear
Equations in the Discrete-Dipole
Approximation . . . . . . . . . . . . . 78--89
Johannes Tausch Equivariant Preconditioners for Boundary
Element Methods . . . . . . . . . . . . 90--99
Qing Fan and
P. A. Forsyth and
J. R. F. McMacken and
Wei-Pai Tang Performance Issues for Iterative Solvers
in Device Simulation . . . . . . . . . . 100--117
Juan C. Meza and
Ray S. Tuminaro A Multigrid Preconditioner for the
Semiconductor Equations . . . . . . . . 118--132
Jan Janssen and
Stefan Vandewalle Multigrid Waveform Relaxation on Spatial
Finite Element Meshes: The Discrete-Time
Case . . . . . . . . . . . . . . . . . . 133--155
Michael Jung and
Ulrich Rüde Implicit Extrapolation Methods for
Multilevel Finite Element Computations 156--179
Irad Yavneh On Red-Black SOR Smoothing in Multigrid 180--192
Van Emden Henson and
Mark A. Limber and
Stephen F. McCormick and
Bruce T. Robinson Multilevel Image Reconstruction with
Natural Pixels . . . . . . . . . . . . . 193--216
C. T. Kelley and
Z. Q. Xue GMRES and Integral Operators . . . . . . 217--226
C. R. Vogel and
M. E. Oman Iterative Methods for Total Variation
Denoising . . . . . . . . . . . . . . . 227--238
Claude Pommerell and
Roland Rühl Migration of Vectorized Iterative
Solvers to Distributed-Memory
Architectures . . . . . . . . . . . . . 239--259
Lei Li and
Jie Hu and
Tadao Nakamura A Simple Parallel Algorithm for
Polynomial Evaluation . . . . . . . . . 260--262
William E. Boyse and
Andrew A. Seidl A Block QMR Method for Computing
Multiple Simultaneous Solutions to
Complex Symmetric Systems . . . . . . . 263--274
R. Bramley and
B. Winnicka Solving Linear Inequalities in a Least
Squares Sense . . . . . . . . . . . . . 275--286
Tu\ugrul Dayar and
William J. Stewart On the effects of using the
Grassmann--Taksar--Heyman method in
iterative aggregation-disaggregation . . 287--303
Chris J. Budd and
Weizhang Huang and
Robert D. Russell Moving Mesh Methods for Problems with
Blow-up . . . . . . . . . . . . . . . . 305--327
David W. Zingg and
Harvard Lomax and
Henry Jurgens High-Accuracy Finite-Difference Schemes
for Linear Wave Propagation . . . . . . 328--346
William J. Layton A Nonlinear, Subgridscale Model for
Incompressible Viscous Flow Problems . . 347--357
Ann S. Almgren and
John B. Bell and
William G. Szymczak A numerical method for the
incompressible Navier--Stokes equations
based on an approximate projection . . . 358--369
Louis F. Rossi Resurrecting Core Spreading Vortex
Methods: a New Scheme That is Both
Deterministic and Convergent . . . . . . 370--397
William D. Elliott and
John A. Board, Jr. Fast Fourier transform accelerated fast
multipole algorithm . . . . . . . . . . 398--415
Gang Bao and
William W. Symes Computation of Pseudo-Differential
Operators . . . . . . . . . . . . . . . 416--429
Tao Tang and
Manfred R. Trummer Boundary Layer Resolving Pseudospectral
Methods for Singular Perturbation
Problems . . . . . . . . . . . . . . . . 430--438
Yair Shapira and
Moshe Israeli and
Avram Sidi Towards Automatic Multigrid Algorithms
for SPD, Nonsymmetric and Indefinite
Problems . . . . . . . . . . . . . . . . 439--453
Jörn Hofhaus and
Eric F. Van de Velde Alternating-Direction Line-Relaxation
Methods on Multicomputers . . . . . . . 454--478
W. H. Enright and
P. H. Muir Runge--Kutta Software with Defect
Control for Boundary Value ODEs . . . . 479--497
Leland Jameson The differentiation matrix for
Daubechies-based wavelets on an interval 498--516
W. Li and
D. Naik and
J. Swetits A Data Smoothing Technique for Piecewise
Convex/Concave Curves . . . . . . . . . 517--537
Paul J. Lanzkron and
Donald J. Rose and
James T. Wilkes An Analysis of Approximate Nonlinear
Elimination . . . . . . . . . . . . . . 538--559
Roland Hunt Three-Dimensional Steady Flow in a
Dividing Channel Using Finite and
Pseudospectral Differences . . . . . . . 561--578
J. S. Hesthaven and
D. Gottlieb A stable penalty method for the
compressible Navier--Stokes equations.
I. Open boundary conditions . . . . . . 579--612
Sverker Holmgren and
Kurt Otto Semicirculant Solvers and Boundary
Corrections for First-Order Partial
Differential Equations . . . . . . . . . 613--630
Robert Balder and
Christoph Zenger The solution of multidimensional real
Helmholtz equations on sparse grids . . 631--646
A. Pinelli and
W. Couzy and
M. O. Deville and
C. Benocci An efficient iterative solution method
for the Chebyshev collocation of
advection-dominated transport problems 647--657
M. Al-Baali and
R. Fletcher On the Order of Convergence of
Preconditioned Nonlinear Conjugate
Gradient Methods . . . . . . . . . . . . 658--665
Chunguang Sun Parallel Sparse Orthogonal Factorization
on Distributed-Memory Multiprocessors 666--685
Christian H. Bischof and
Biswa Nath Datta and
Avijit Purkayastha A parallel algorithm for the Sylvester
observer equation . . . . . . . . . . . 686--698
Edward Rothberg Performance of panel and block
approaches to sparse Cholesky
factorization on the iPSC/860 and
Paragon multicomputers . . . . . . . . . 699--713
Steven Pruess and
Hongsung Jin A Stable High-Order Interpolation Scheme
for Superconvergent Data . . . . . . . . 714--724
Philippe L. Toint An Assessment of Nonmonotone Linesearch
Techniques for Unconstrained
Optimization . . . . . . . . . . . . . . 725--739
Teresa Regi\'nska A Regularization Parameter in Discrete
Ill-Posed Problems . . . . . . . . . . . 740--749
John A. Gubner Computation of Shot-Noise Probability
Distributions and Densities . . . . . . 750--761
Raymond H. Chan and
Wai-Ki Ching Toeplitz-circulant preconditioners for
Toeplitz systems and their applications
to queueing networks with batch arrivals 762--772
Srinivas Aluru Greengard's $ {N}$-body algorithm is not
order $ {N}$ . . . . . . . . . . . . . . 773--776
Saul Abarbanel and
David Gottlieb and
Mark H. Carpenter On the removal of boundary errors caused
by Runge--Kutta integration of nonlinear
partial differential equations . . . . . 777--782
Bracy H. Elton Comparisons of lattice Boltzmann and
finite difference methods for a
two-dimensional viscous Burgers equation 783--813
Wei Cai and
Wonho Oh and
Youlan Zhu Direct Numerical Calculations of a
Neutral Stability Curve for
One-Dimensional Detonations . . . . . . 814--829
Y. Saad ILUM: a Multi-Elimination ILU
Preconditioner for General Sparse
Matrices . . . . . . . . . . . . . . . . 830--847
Ming Gu and
Stanley C. Eisenstat Efficient Algorithms for Computing a
Strong Rank-Revealing QR Factorization 848--869
Greg Henry and
Robert van de Geijn Parallelizing the $ Q R $ Algorithm for
the Unsymmetric Algebraic Eigenvalue
Problem: Myths and Reality . . . . . . . 870--883
Huosheng Sun and
Wei-Pai Tang An overdetermined Schwarz alternating
method . . . . . . . . . . . . . . . . . 884--905
Markku Verkama Random Relaxation of Fixed-Point
Iteration . . . . . . . . . . . . . . . 906--912
Chris Anderson and
Marie Dillon Dahleh Rapid computation of the discrete
Fourier transform . . . . . . . . . . . 913--919
Michael K. Ng and
Robert J. Plemmons Fast recursive least squares adaptive
filtering by fast Fourier
transform-based conjugate gradient
iterations . . . . . . . . . . . . . . . 920--941
Ranjit M. Passi and
R. Kent Goodrich and
Mark Limber and
John C. Derber A Convolution Algorithm with Application
to Data Assimilation . . . . . . . . . . 942--955
Martin Hanke and
Toomas Raus A General Heuristic for Choosing the
Regularization Parameter in Ill-posed
Problems . . . . . . . . . . . . . . . . 956--972
Serhat Ye\csilyurt and
Chahid K. Ghaddar and
Manuel E. Cruz and
Anthony T. Patera Bayesian-validated surrogates for noisy
computer simulations and application to
random media . . . . . . . . . . . . . . 973--992
Satoru Iwata and
Kazuo Murota and
Izumi Sakuta Primal-Dual Combinatorial Relaxation
Algorithms for the Maximum Degree of
Subdeterminants . . . . . . . . . . . . 993--1012
C. Falcó Korn and
B. Hörmann and
C. P. Ullrich Verification May Be Better Than
Estimation . . . . . . . . . . . . . . . 1013--1017
Smadar Karni Hybrid Multifluid Algorithms . . . . . . 1019--1039
Yimin Zhu and
I. Norman Katz A Parallel Implementation of the
$p$-Version of the Finite Element Method 1040--1067
Giuseppe Fiorentino and
Stefano Serra Multigrid methods for symmetric positive
definite block Toeplitz matrices with
nonnegative generating functions . . . . 1068--1081
Wilhelm Heinrichs Defect Correction for
Convection-Dominated Flow . . . . . . . 1082--1091
Bernardo Cockburn and
Huiing Gau A Model Numerical Scheme for the
Propagation of Phase Transitions in
Solids . . . . . . . . . . . . . . . . . 1092--1121
Y. F. Xie and
G. L. Browning and
G. Chesshire A Two-Dimensional Composite Grid
Numerical Model Based on the Reduced
System for Oceanography . . . . . . . . 1122--1134
Michele Benzi and
Carl D. Meyer and
Miroslav T\ocircuma A Sparse Approximate Inverse
Preconditioner for the Conjugate
Gradient Method . . . . . . . . . . . . 1135--1149
James C. Schatzman Accuracy of the discrete Fourier
transform and the fast Fourier transform 1150--1166
Xingzhi Zhan Computing the Extremal Positive Definite
Solutions of a Matrix Equation . . . . . 1167--1174
Marc Garbey A Schwarz alternating procedure for
singular perturbation problems . . . . . 1175--1201
L. Portugal and
F. Bastos and
J. Júdice and
J. Paixão and
T. Terlaky An Investigation of Interior-Point
Algorithms for the Linear Transportation
Problem . . . . . . . . . . . . . . . . 1202--1223
L. Knüsel and
B. Bablok Computation of the Noncentral Gamma
Distribution . . . . . . . . . . . . . . 1224--1231
Dimitris J. Kavvadias and
Michael N. Vrahatis Locating and Computing All the Simple
Roots and Extrema of a Function . . . . 1232--1248
Jinn-Liang Liu On Weak Residual Error Estimation . . . 1249--1268
Susanne C. Brenner Preconditioning Complicated Finite
Elements by Simple Finite Elements . . . 1269--1274
John Guckenheimer and
Mark Myers Computing Hopf bifurcations. II. Three
examples from neurophysiology . . . . . 1275--1301
Karol Mikula and
Jozef Ka\vcur Evolution of Convex Plane Curves
Describing Anisotropic Motions of Phase
Interfaces . . . . . . . . . . . . . . . 1302--1327
W. Layton and
B. Polman Oscillation Absorption Finite Element
Methods for Convection-Diffusion
Problems . . . . . . . . . . . . . . . . 1328--1346
Qiang Du and
Ming Jin and
T. Y. Li and
Z. Zeng Quasi-Laguerre Iteration in Solving
Symmetric Tridiagonal Eigenvalue
Problems . . . . . . . . . . . . . . . . 1347--1368
D. Rh. Gwynllyw and
T. N. Phillips Preconditioned Iterative Methods for
Unsteady Non-Newtonian Flow Between
Eccentrically Rotating Cylinders . . . . 1369--1394
Mark Ainsworth A hierarchical domain decomposition
preconditioner for $h$-$p$ finite
element approximation on locally refined
meshes . . . . . . . . . . . . . . . . . 1395--1413
Bruce Turkington and
Nathaniel Whitaker Statistical Equilibrium Computations of
Coherent Structures in Turbulent Shear
Layers . . . . . . . . . . . . . . . . . 1414--1433
Bernard D. Coleman and
Richard S. Falk and
Maher Moakher Space--time Finite Element Methods for
Surface Diffusion with Applications to
the Theory of the Stability of Cylinders 1434--1448
T. Manteuffel and
S. McCormick and
J. Morel and
G. Yang A fast multigrid algorithm for isotropic
transport problems. II. With absorption 1449--1474
Patrick M. Knupp Jacobian-Weighted Elliptic Grid
Generation . . . . . . . . . . . . . . . 1475--1490
Tony F. Chan and
Tedd Szeto Composite Step Product Methods for
Solving Nonsymmetric Linear Systems . . 1491--1508
Linda R. Petzold and
Robert D. Skeel Dedication to C. William Gear on the
occasion of his 60th birthday . . . . . vii--ix
Lawrence F. Shampine and
Mark W. Reichelt The MATLAB ODE Suite . . . . . . . . . . 1--22
Kjell Gustafsson and
Gustaf Söderlind Control Strategies for the Iterative
Solution of Nonlinear Equations in ODE
Solvers . . . . . . . . . . . . . . . . 23--40
P. J. van der Houwen and
J. J. B. de Swart Triangularly implicit iteration methods
for ODE-IVP solvers . . . . . . . . . . 41--55
Pierluigi Amodio and
Marcin Paprzycki A Cyclic Reduction Approach to the
Numerical Solution of Boundary Value
ODEs . . . . . . . . . . . . . . . . . . 56--68
Lixin Liu and
Gerald Moore and
Robert D. Russell Computation and Continuation of
Homoclinic and Heteroclinic Orbits with
Arclength Parameterization . . . . . . . 69--93
René Lamour A shooting method for fully implicit
index-$2$ differential algebraic
equations . . . . . . . . . . . . . . . 94--114
Peter Kunkel and
Volker Mehrmann and
Werner Rath and
Jörg Weickert A New Software Package for Linear
Differential-Algebraic Equations . . . . 115--138
Roswitha März and
Caren Tischendorf Recent results in solving index-$2$
differential-algebraic equations in
circuit simulation . . . . . . . . . . . 139--159
Uri Ascher and
Ping Lin Sequential Regularization Methods for
Nonlinear Higher-Index DAEs . . . . . . 160--181
L. O. Jay and
A. Sandu and
F. A. Potra and
G. R. Carmichael Improved
Quasi-Steady-State-Approximation Methods
for Atmospheric Chemistry Integration 182--202
Robert D. Skeel and
Guihua Zhang and
Tamar Schlick A Family of Symplectic Integrators:
Stability, Accuracy, and Molecular
Dynamics Applications . . . . . . . . . 203--222
M. A. López-Marcos and
J. M. Sanz-Serna and
Robert D. Skeel Explicit symplectic integrators using
Hessian-vector products . . . . . . . . 223--238
Weizhang Huang and
Benedict Leimkuhler The adaptive Verlet method . . . . . . . 239--256
Ernst Hairer and
Daniel Stoffer Reversible Long-Term Integration with
Variable Stepsizes . . . . . . . . . . . 257--269
F. Iavernaro and
F. Mazzia Convergence and Stability of Multistep
Methods Solving Nonlinear Initial Value
Problems . . . . . . . . . . . . . . . . 270--285
Andrew Lumsdaine and
Deyun Wu Spectra and Pseudospectra of Waveform
Relaxation Operators . . . . . . . . . . 286--304
Christopher T. H. Baker and
Christopher A. H. Paul Pitfalls in Parameter Estimation for
Delay Differential Equations . . . . . . 305--314
Barna L. Bihari and
Ami Harten Multiresolution schemes for the
numerical solution of $2$-D conservation
laws. I . . . . . . . . . . . . . . . . 315--354
Kelly Black A Spectral Element Technique with a
Local Spectral Basis . . . . . . . . . . 355--370
Ralph C. Smith A Galerkin Method for Linear PDE Systems
in Circular Geometries with Structural
Acoustic Applications . . . . . . . . . 371--402
June-Yub Lee and
Leslie Greengard A Fast Adaptive Numerical Method for
Stiff Two-Point Boundary Value Problems 403--429
J. E. Dendy, Jr. Revenge of the Semicoarsening Frequency
Decomposition Multigrid Method . . . . . 430--440
A. Borz\`i and
K. W. Morton and
E. Süli and
M. Vanmaele Multilevel Solution of Cell Vertex
Cauchy--Riemann Equations . . . . . . . 441--459
Klaus Bernert $ \tau $-extrapolation --- theoretical
foundation, numerical experiment, and
application to Navier--Stokes equations 460--478
Maria Elizabeth G. Ong Hierarchical Basis Preconditioners in
Three Dimensions . . . . . . . . . . . . 479--498
Fabio Di Benedetto Preconditioning of Block Toeplitz
Matrices by Sine Transforms . . . . . . 499--515
Xiaoge Wang and
Kyle A. Gallivan and
Randall Bramley CIMGS: An Incomplete Orthogonal
Factorization Preconditioner . . . . . . 516--536
Shao-Liang Zhang GPBi-CG: Generalized Product-Type
Methods Based on Bi-CG for Solving
Nonsymmetric Linear Systems . . . . . . 537--551
James M. Rosinski and
David L. Williamson The Accumulation of Rounding Errors and
Port Validation for Global Atmospheric
Models . . . . . . . . . . . . . . . . . 552--564
S. H. Lui Computation of Pseudospectra by
Continuation . . . . . . . . . . . . . . 565--573
R. Baker Kearfott Empirical Evaluation of Innovations in
Interval Branch and Bound Algorithms for
Nonlinear Systems . . . . . . . . . . . 574--594
Jianjun Cui and
Willi Freeden Equidistribution on the Sphere . . . . . 595--609
Mario A. Casarin Timely Communication: Diagonal Edge
Preconditioners in $p$-version and
Spectral Element Methods . . . . . . . . 610--620
Petter E. Bjòrstad and
Bjòrn Peter Tjòstheim Timely Communication: Efficient
Algorithms for Solving a Fourth-Order
Equation with the Spectral-Galerkin
Method . . . . . . . . . . . . . . . . . 621--632
Yasuhiro Wada and
Meng-Sing Liou An Accurate and Robust Flux Splitting
Scheme for Shock and Contact
Discontinuities . . . . . . . . . . . . 633--657
J. S. Hesthaven A stable penalty method for the
compressible Navier--Stokes equations.
II. One-dimensional domain decomposition
schemes . . . . . . . . . . . . . . . . 658--685
Mark T. Jones and
Paul E. Plassmann Parallel Algorithms for Adaptive Mesh
Refinement . . . . . . . . . . . . . . . 686--708
Randall J. LeVeque and
Zhilin Li Immersed Interface Methods for Stokes
Flow with Elastic Boundaries or Surface
Tension . . . . . . . . . . . . . . . . 709--735
Vladimir Karlin and
Vladimir Maz\cprimeya Time-Marching Algorithms for Nonlocal
Evolution Equations Based Upon
``Approximate Approximations'' . . . . . 736--752
Linda R. Petzold and
Yuhe Ren and
Timothy Maly Regularization of Higher-Index
Differential-Algebraic Equations with
Rank-Deficient Constraints . . . . . . . 753--774
Anil K. Bangia and
Paul F. Batcho and
Ioannis G. Kevrekidis and
George Em. Karniadakis Unsteady Two-Dimensional Flows in
Complex Geometries: Comparative
Bifurcation Studies with Global
Eigenfunction Expansions . . . . . . . . 775--805
Ian T. Foster and
Patrick H. Worley Parallel Algorithms for the Spectral
Transform Method . . . . . . . . . . . . 806--837
Marcus J. Grote and
Thomas Huckle Parallel Preconditioning with Sparse
Approximate Inverses . . . . . . . . . . 838--853
S. A. Stotland and
J. M. Ortega Orderings for Parallel Conjugate
Gradient Preconditioners . . . . . . . . 854--868
Steven Huss-Lederman and
Anna Tsao and
Thomas Turnbull A Parallelizable Eigensolver for Real
Diagonalizable Matrices with Real
Eigenvalues . . . . . . . . . . . . . . 869--885
Harold R. Parks and
Jon T. Pitts Computing Least Area Hypersurfaces
Spanning Arbitrary Boundaries . . . . . 886--917
Mingyou Huang and
Tassilo Küpper and
Norbert Masbaum Computation of Invariant Tori by the
Fourier Methods . . . . . . . . . . . . 918--942
Tony F. Chan and
P. Ciarlet, Jr. and
W. K. Szeto On the Optimality of the Median Cut
Spectral Bisection Graph Partitioning
Method . . . . . . . . . . . . . . . . . 943--948
Achi Brandt and
Leonid Yu. Zaslavsky Multiscale Algorithm for Atmospheric
Data Assimilation . . . . . . . . . . . 949--956
Wenlong Dai and
Paul R. Woodward A High-Order Godunov-Type Scheme for
Shock Interactions in Ideal
Magnetohydrodynamics . . . . . . . . . . 957--981
Wenlong Dai and
Paul R. Woodward An Iterative Riemann Solver for
Relativistic Hydrodynamics . . . . . . . 982--995
Louis H. Howell and
John B. Bell An Adaptive Mesh Projection Method for
Viscous Incompressible Flow . . . . . . 996--1013
Louis F. Rossi Merging Computational Elements in Vortex
Simulations . . . . . . . . . . . . . . 1014--1027
Mo Mu A Linearized Crank--Nicolson--Galerkin
Method for the Ginzburg--Landau Model 1028--1039
Wai Sun Don and
Alex Solomonoff Accuracy Enhancement for Higher
Derivatives Using Chebyshev Collocation
and a Mapping Technique . . . . . . . . 1040--1055
P. Hovland and
C. Bischof and
D. Spiegelman and
M. Casella Efficient Derivative Codes Through
Automatic Differentiation and Interface
Contraction: An Application in
Biostatistics . . . . . . . . . . . . . 1056--1066
G. N. Milstein and
M. V. Tret\cprimeyakov Mean-Square Numerical Methods for
Stochastic Differential Equations with
Small Noises . . . . . . . . . . . . . . 1067--1087
C. R. Dietrich and
G. N. Newsam Fast and Exact Simulation of Stationary
Gaussian Processes Through Circulant
Embedding of the Covariance Matrix . . . 1088--1107
Gerhard Starke Subspace Orthogonalization for
Substructuring Preconditioners for
Non-self-adjoint Elliptic Problems . . . 1108--1121
Roy A. Nicolaides and
Noel Walkington and
Han Wang Numerical Methods for a Nonconvex
Optimization Problem Modeling
Martensitic Microstructure . . . . . . . 1122--1141
Richard H. Burkhart Asymptotic Expansion of the Free-Space
Green's Function for the Discrete 3-D
Poisson Equation . . . . . . . . . . . . 1142--1162
Urs von Matt The Orthogonal $ q d$-Algorithm . . . . 1163--1186
Ramesh Natarajan Domain decomposition using spectral
expansions of Steklov--Poincaré
operators. II. A matrix formulation . . 1187--1199
Zlatko Drma\vc Implementation of Jacobi Rotations for
Accurate Singular Value Computation in
Floating Point Arithmetic . . . . . . . 1200--1222
R. D. Fierro and
G. H. Golub and
P. C. Hansen and
D. P. O'Leary Regularization by Truncated Total Least
Squares . . . . . . . . . . . . . . . . 1223--1241
Rickard Enander Implicit explicit residual smoothing for
the multidimensional Euler and
Navier--Stokes equations . . . . . . . . 1243--1254
D. Pathria The Correct Formulation of Intermediate
Boundary Conditions for Runge--Kutta
Time Integration of Initial Boundary
Value Problems . . . . . . . . . . . . . 1255--1266
Benqi Guo and
Weiming Cao Additive Schwarz Methods for the $h$-$p$
Version of the Finite Element Method in
Two Dimensions . . . . . . . . . . . . . 1267--1288
Ann S. Almgren and
John B. Bell and
Phillip Colella and
Tyler Marthaler A Cartesian grid projection method for
the incompressible Euler equations in
complex geometries . . . . . . . . . . . 1289--1309
Kou-Kung A. Chang and
W. Brent Lindquist Mass-Conserving Front Tracking for
Miscible Two-Phase Flow . . . . . . . . 1310--1327
P. A. Forsyth and
M. C. Kropinski Monotonicity Considerations for
Saturated-Unsaturated Subsurface Flow 1328--1354
Tony F. Chan and
Svetozar D. Margenov and
Panayot S. Vassilevski Performance of block-ILU factorization
preconditioners based on block-size
reduction for $2$D elasticity systems 1355--1366
Geng Yang and
Laura C. Dutto and
Michel Fortin Inexact Block Jacobi--Broyden Method for
Solving Nonlinear Systems of Equations 1367--1392
Judith D. Gardiner A Stabilized Matrix Sign Function
Algorithm for Solving Algebraic Riccati
Equations . . . . . . . . . . . . . . . 1393--1411
Ilan Bar-On and
Victor Ryaboy Fast Diagonalization of Large and Dense
Complex Symmetric Matrices, with
Applications to Quantum Reaction
Dynamics . . . . . . . . . . . . . . . . 1412--1435
Horst D. Simon and
Shang-Hua Teng How Good is Recursive Bisection? . . . . 1436--1445
Z. Bai and
J. Demmel and
J. Dongarra and
A. Petitet and
H. Robinson and
K. Stanley The Spectral Decomposition of
Nonsymmetric Matrices on Distributed
Memory Parallel Computers . . . . . . . 1446--1461
Susanne M. Balle and
Palle M. Pedersen SVD Computations on the Connection
Machine CM-5/CM-5E: Implementation and
Accuracy . . . . . . . . . . . . . . . . 1462--1478
Jun Wang Recurrent Neural Networks for Computing
Pseudoinverses of Rank-Deficient
Matrices . . . . . . . . . . . . . . . . 1479--1493
Harold J. Kushner Domain Decomposition Methods for Large
Markov Chain Control Problems and
Nonlinear Elliptic-Type Equations . . . 1494--1516
Qingping Deng Timely Communication: An Analysis for a
Nonoverlapping Domain Decomposition
Iterative Procedure . . . . . . . . . . 1517--1525
Nejib Smaoui and
Dieter Armbruster Timely Communication: Symmetry and the
Karhunen--Lo\`eve analysis . . . . . . . 1526--1532
Lars Ferm and
Per Lötstedt Two-Grid Solution of Shock Problems . . 1533--1552
P. Batten and
N. Clarke and
C. Lambert and
D. M. Causon On the choice of wavespeeds for the HLLC
Riemann solver . . . . . . . . . . . . . 1553--1570
Raymond H. Chan and
Thomas K. DeLillo and
Mark A. Horn The numerical solution of the biharmonic
equation by conformal mapping . . . . . 1571--1582
Jie Shen Efficient spectral-Galerkin methods.
III. Polar and cylindrical geometries 1583--1604
S. Goedecker Fast radix $ 2, 3, 4 $, and $5$ kernels
for fast Fourier transformations on
computers with overlapping multiply-add
instructions . . . . . . . . . . . . . . 1605--1611
S. V. Tsynkov Artificial boundary conditions for
computation of oscillating external
flows . . . . . . . . . . . . . . . . . 1612--1656
Edmond Chow and
Yousef Saad Approximate inverse techniques for
block-partitioned matrices . . . . . . . 1657--1675
Ning Hu and
Xian-Zhong Guo and
I. Norman Katz Multi-$p$ Preconditioners . . . . . . . 1676--1697
Tony F. Chan and
W. L. Wan Analysis of projection methods for
solving linear systems with multiple
right-hand sides . . . . . . . . . . . . 1698--1721
William F. Trench Numerical solution of the inverse
eigenvalue problem for real symmetric
Toeplitz matrices . . . . . . . . . . . 1722--1736
C.-S. Chien and
M.-S. Chen Multiple bifurcation in the von Kármán
equations . . . . . . . . . . . . . . . 1737--1766
Michel J. Daydé and
Jean-Yves L'Excellent and
Nicholas I. M. Gould Element-by-element preconditioners for
large partially separable optimization
problems . . . . . . . . . . . . . . . . 1767--1787
A. Sartenaer Automatic determination of an initial
trust region in nonlinear programming 1788--1803
Howard Elman Introduction to the Special Issue on
Iterative Methods for Solving Systems of
Algebraic Equations . . . . . . . . . . vii--vii
W. F. Spotz and
G. F. Carey Iterative and Parallel Performance of
High-Order Compact Systems . . . . . . . 1--14
Andreas Frommer and
Uwe Glässner Restarted GMRES for Shifted Linear
Systems . . . . . . . . . . . . . . . . 15--26
Martyn R. Field Optimizing a Parallel Conjugate Gradient
Solver . . . . . . . . . . . . . . . . . 27--37
V. Druskin and
A. Greenbaum and
L. Knizhnerman Using Nonorthogonal Lanczos Vectors in
the Computation of Matrix Functions . . 38--54
Klaus J. Ressel and
Martin H. Gutknecht QMR Smoothing for Lanczos-Type Product
Methods Based on Three-Term Recurrences 55--73
V. A. Bandy and
J. E. Dendy, Jr. and
W. H. Spangenberg Some Multigrid Algorithms for Elliptic
Problems on Data Parallel Machines . . . 74--86
C. W. Oosterlee and
T. Washio An Evaluation of Parallel Multigrid as a
Solver and a Preconditioner for
Singularly Perturbed Problems . . . . . 87--110
Irad Yavneh and
Cornelis H. Venner and
Achi Brandt Fast Multigrid Solution of the Advection
Problem with Closed Characteristics . . 111--125
Frederico F. Campos and
Nick R. C. Birkett An Efficient Solver for
Multi-Right-Hand-Side Linear Systems
Based on the CCCG($ \eta $) Method with
Applications to Implicit Time-Dependent
Partial Differential Equations . . . . . 126--138
Raymond H. Chan and
Thomas K. DeLillo and
Mark A. Horn Superlinear Convergence Estimates for a
Conjugate Gradient Method for the
Biharmonic Equation . . . . . . . . . . 139--147
Tugrul Dayar State Space Orderings for Gauss--Seidel
in Markov Chains Revisited . . . . . . . 148--154
Thomas K. DeLillo and
John A. Pfaltzgraff Numerical Conformal Mapping Methods for
Simply and Doubly Connected Regions . . 155--171
Axel Klawonn Block-Triangular Preconditioners for
Saddle Point Problems with a Penalty
Term . . . . . . . . . . . . . . . . . . 172--184
J. David Moulton and
Jim E. Morel and
Uri M. Ascher Approximate Schur Complement
Preconditioning of the Lowest-Order
Nodal Discretizations . . . . . . . . . 185--205
Vivek Sarin and
Ahmed Sameh An Efficient Iterative Method for the
Generalized Stokes Problem . . . . . . . 206--226
Andreas Stathopoulos and
Yousef Saad and
Kesheng Wu Dynamic Thick Restarting of the
Davidson, and the Implicitly Restarted
Arnoldi Methods . . . . . . . . . . . . 227--245
Xiao-Chuan Cai and
William D. Gropp and
David E. Keyes and
Robin G. Melvin and
David P. Young Parallel Newton--Krylov--Schwarz
Algorithms for the Transonic Full
Potential Equation . . . . . . . . . . . 246--265
J. M. Banoczi and
C. T. Kelley A Fast Multilevel Algorithm for the
Solution of Nonlinear Systems of
Conductive-Radiative Heat Transfer
Equations . . . . . . . . . . . . . . . 266--279
C. T. Kelley and
C. T. Miller and
M. D. Tocci Termination of Newton/Chord Iterations
and the Method of Lines . . . . . . . . 280--290
D. A. Knoll and
P. R. McHugh Enhanced Nonlinear Iterative Techniques
Applied to a Nonequilibrium Plasma Flow 291--301
Michael Pernice and
Homer F. Walker NITSOL: A Newton Iterative Solver for
Nonlinear Systems . . . . . . . . . . . 302--318
Peter D. Lax and
Xu-Dong Liu Solution of Two-Dimensional Riemann
Problem of Gas Dynamics by Positive
Schemes . . . . . . . . . . . . . . . . 319--340
P. Tsompanopoulou and
E. Vavalis ADI Methods for Cubic Spline Collocation
Discretizations of Elliptic PDEs . . . . 341--363
Gary L. Miller and
Shang-Hua Teng and
William Thurston and
Stephen A. Vavasis Geometric Separators for Finite-Element
Meshes . . . . . . . . . . . . . . . . . 364--386
Guido E. Sartoris A 3D Rectangular Mixed Finite Element
Method to Solve the Stationary
Semiconductor Equations . . . . . . . . 387--403
Todd Arbogast and
Clint N. Dawson and
Philip T. Keenan and
Mary F. Wheeler and
Ivan Yotov Enhanced Cell-Centered Finite
Differences for Elliptic Equations on
General Geometry . . . . . . . . . . . . 404--425
Alan Genz and
John Monahan Stochastic Integration Rules for
Infinite Regions . . . . . . . . . . . . 426--439
Volker H. Schulz and
Hans Georg Bock and
Marc C. Steinbach Exploiting Invariants in the Numerical
Solution of Multipoint Boundary Value
Problems for DAEs . . . . . . . . . . . 440--467
A. Brandt and
C. H. Venner Multilevel Evaluation of Integral
Transforms with Asymptotically Smooth
Kernels . . . . . . . . . . . . . . . . 468--492
Lars Ferm The Number of Coarse-Grid Iterations
Every Cycle for the Two-Grid Method . . 493--501
Zhangxin Chen and
Do Y. Kwak and
Yoon J. Yon Multigrid Algorithms for Nonconforming
and Mixed Methods for Nonsymmetric and
Indefinite Problems . . . . . . . . . . 502--515
Raymond H. Chan and
Qian-Shun Chang and
Hai-Wei Sun Multigrid Method for Ill-Conditioned
Symmetric Toeplitz Systems . . . . . . . 516--529
Gene H. Golub and
Andrew J. Wathen An Iteration for Indefinite Systems and
Its Application to the Navier--Stokes
Equations . . . . . . . . . . . . . . . 530--539
Axel Klawonn An Optimal Preconditioner for a Class of
Saddle Point Problems with a Penalty
Term . . . . . . . . . . . . . . . . . . 540--552
Joseph Czyzyk and
Robert Fourer and
Sanjay Mehrotra Using a Massively Parallel Processor to
Solve Large Sparse Linear Programs by an
Interior-Point Method . . . . . . . . . 553--565
C. S. Kenney and
A. J. Laub and
M. S. Reese Statistical Condition Estimation for
Linear Systems . . . . . . . . . . . . . 566--583
John M. Conroy and
Steven G. Kratzer and
Robert F. Lucas and
Aaron E. Naiman Data-Parallel Sparse LU Factorization 584--604
Nicholas I. M. Gould and
Jennifer A. Scott Sparse Approximate-Inverse
Preconditioners Using Norm- Minimization
Techniques . . . . . . . . . . . . . . . 605--625
Bruno Lang Using Level 3 BLAS in Rotation-Based
Algorithms . . . . . . . . . . . . . . . 626--634
Shang-Hua Teng Provably Good Partitioning and Load
Balancing Algorithms for Parallel
Adaptive N-Body Simulation . . . . . . . 635--656
Diederik R. Fokkema and
Gerard L. G. Sleijpen and
Henk A. van der Vorst Accelerated Inexact Newton Schemes for
Large Systems of Nonlinear Equations . . 657--674
T. Terlaky and
J.-Ph. Vial Computing Maximum Likelihood Estimators
of Convex Density Functions . . . . . . 675--694
Marlis Hochbruck and
Christian Lubich Error Analysis of Krylov Methods in a
Nutshell . . . . . . . . . . . . . . . . 695--701
James Glimm and
John W. Grove and
Xiao Lin Li and
Keh-ming Shyue and
Yanni Zeng and
Qiang Zhang Three-Dimensional Front Tracking . . . . 703--727
Neil N. Carlson and
Keith Miller Design and Application of a
Gradient-Weighted Moving Finite Element
Code I: in One Dimension . . . . . . . . 728--765
Neil N. Carlson and
Keith Miller Design and Application of a
Gradient-Weighted Moving Finite Element
Code II: in Two Dimensions . . . . . . . 766--798
Harald Osnes and
Hans Petter Langtangen A Study of Some Finite Difference
Schemes for a Unidirectional Stochastic
Transport Equation . . . . . . . . . . . 799--812
Jay Casper and
Mark H. Carpenter Computational Considerations for the
Simulation of Shock-Induced Sound . . . 813--828
Martin Berggren Numerical Solution of a Flow-Control
Problem: Vorticity Reduction by Dynamic
Boundary Action . . . . . . . . . . . . 829--860
Maria Cristina Recchioni and
Giovanni Russo Hamilton-based Numerical Methods for a
Fluid-Membrane Interaction in Two and
Three Dimensions . . . . . . . . . . . . 861--892
Ping Lin and
Daoqi Yang An Iterative Perturbation Method for the
Pressure Equation in the Simulation of
Miscible Displacement in Porous Media 893--911
T. P. Mathew and
P. L. Polyakov and
G. Russo and
J. Wang Domain Decomposition Operator Splittings
for the Solution of Parabolic Equations 912--932
A. Averbuch and
M. Israeli and
L. Vozovoi A Fast Poisson Solver of Arbitrary Order
Accuracy in Rectangular Regions . . . . 933--952
K. Davey and
S. Bounds A Generalized SOR Method for Dense
Linear Systems of Boundary Element
Equations . . . . . . . . . . . . . . . 953--967
Michele Benzi and
Miroslav Tuma A Sparse Approximate Inverse
Preconditioner for Nonsymmetric Linear
Systems . . . . . . . . . . . . . . . . 968--994
Edmond Chow and
Yousef Saad Approximate Inverse Preconditioners via
Sparse-Sparse Iterations . . . . . . . . 995--1023
Shang-Hong Lai and
Baba C. Vemuri Generalized Capacitance Matrix Theorems
and Algorithm for Solving Linear Systems 1024--1045
Knud D. Andersen and
Edmund Christiansen and
Michael L. Overton Computing Limit Loads by Minimizing a
Sum of Norms . . . . . . . . . . . . . . 1046--1062
James G. Nagy and
Dianne P. O'Leary Restoring Images Degraded by Spatially
Variant Blur . . . . . . . . . . . . . . 1063--1082
Magolu Monga-Made Taking Advantage of the Potentialities
of Dynamically Modified Block Incomplete
Factorizations . . . . . . . . . . . . . 1083--1108
M. Jung and
U. Rüde Implicit Extrapolation Methods for
Variable Coefficient Problems . . . . . 1109--1124
G. A. Watson On Computing the Least Quantile of
Squares Estimate . . . . . . . . . . . . 1125--1138
Ernst P. Stephan and
Thanh Tran Domain Decomposition Algorithms for
Indefinite Hypersingular Integral
Equations: The h and p Versions . . . . 1139--1153
Mario Putti and
Christian Cordes Finite Element Approximation of the
Diffusion Operator on Tetrahedra . . . . 1154--1168
Kaname Amano A Charge Simulation Method for Numerical
Conformal Mapping onto Circular and
Radial Slit Domains . . . . . . . . . . 1169--1187
K. Lust and
D. Roose An Adaptive Newton--Picard Algorithm
with Subspace Iteration for Computing
Periodic Solutions . . . . . . . . . . . 1188--1209
Thomas F. Coleman and
Arun Verma The Efficient Computation of Sparse
Jacobian Matrices Using Automatic
Differentiation . . . . . . . . . . . . 1210--1233
Satish Iyengar and
Mainak Mazumdar A Saddle Point Approximation for Certain
Multivariate Tail Probabilities . . . . 1234--1244
K. Burrage and
J. Erhel and
B. Pohl and
A. Williams A Deflation Technique for Linear Systems
of Equations . . . . . . . . . . . . . . 1245--1260
L. S. Mulholland and
W.-Z. Huang and
D. M. Sloan Pseudospectral Solution of Near-Singular
Problems using Numerical Coordinate
Transformations Based on Adaptivity . . 1261--1289
Ricardo Cortez On the Accuracy of Impulse Methods for
Fluid Flow . . . . . . . . . . . . . . . 1290--1302
Peter Bastian Load Balancing for Adaptive Multigrid
Methods . . . . . . . . . . . . . . . . 1303--1321
Todd F. Dupont and
Philip T. Keenan Superconvergence and Postprocessing of
Fluxes from Lowest-Order Mixed Methods
on Triangles and Tetrahedra . . . . . . 1322--1332
Mo Mu and
Yuefan Deng and
Chung-Chiang Chou Numerical Methods for Simulating
Ginzburg--Landau Vortices . . . . . . . 1333--1339
J. A. Mackenzie The Efficient Generation of Simple
Two-Dimensional Adaptive Grids . . . . . 1340--1365
Dganit Amitai and
Amir Averbuch and
Moshe Israeli and
Samuel Itzikowitz Implicit-Explicit Parallel Asynchronous
Solver of Parabolic PDEs . . . . . . . . 1366--1404
Philip Roe Linear Bicharacteristic Schemes Without
Dissipation . . . . . . . . . . . . . . 1405--1427
R. K. Beatson and
G. N. Newsam Fast Evaluation of Radial Basis
Functions: Moment-Based Methods . . . . 1428--1449
Ramesh Natarajan An Iterative Scheme for Dense,
Complex-Symmetric, Linear Systems in
Acoustics Boundary-Element Computations 1450--1470
Maya G. Neytcheva and
Panayot S. Vassilevski Preconditioning of Indefinite and Almost
Singular Finite Element Elliptic
Equations . . . . . . . . . . . . . . . 1471--1485
Gregorio Quintana-Ortí and
Xiaobai Sun and
Christian H. Bischof A BLAS-3 Version of the QR Factorization
with Column Pivoting . . . . . . . . . . 1486--1494
Peter N. Brown and
Alan C. Hindmarsh and
Linda R. Petzold Consistent Initial Condition Calculation
for Differential-Algebraic Systems . . . 1495--1512
Jeng Yen and
Linda R. Petzold An Efficient Newton-Type Iteration for
the Numerical Solution of Highly
Oscillatory Constrained Multibody
Dynamic Systems . . . . . . . . . . . . 1513--1534
Axel Ruhe Rational Krylov: a Practical Algorithm
for Large Sparse Nonsymmetric Matrix
Pencils . . . . . . . . . . . . . . . . 1535--1551
Marlis Hochbruck and
Christian Lubich and
Hubert Selhofer Exponential Integrators for Large
Systems of Differential Equations . . . 1552--1574
Irfan Altas and
Jonathan Dym and
Murli M. Gupta and
Ram P. Manohar Multigrid Solution of Automatically
Generated High-Order Discretizations for
the Biharmonic Equation . . . . . . . . 1575--1585
Juan Mario Restrepo and
Gary K. Leaf and
Andreas Griewank Circumventing Storage Limitations in
Variational Data Assimilation Studies 1586--1605
Gene H. Golub and
Lan Chieh Huang and
Horst Simon and
Wei-Pai Tang A Fast Poisson Solver for the Finite
Difference Solution of the
Incompressible Navier--Stokes Equations 1606--1624
T. Zhang and
K. H. Law and
G. H. Golub On the Homotopy Method for Perturbed
Symmetric Generalized Eigenvalue
Problems . . . . . . . . . . . . . . . . 1625--1645
T. Washio and
C. W. Oosterlee Flexible Multiple Semicoarsening for
Three-Dimensional Singularly Perturbed
Problems . . . . . . . . . . . . . . . . 1646--1666
Kelly Black Spectral Elements on Infinite Domain . . 1667--1681
Irad Yavneh Coarse-Grid Correction for Nonelliptic
and Singular Perturbation Problems . . . 1682--1699
I. Aavatsmark and
T. Barkve and
O. Bòe and
T. Mannseth Discretization on Unstructured Grids for
Inhomogeneous, Anisotropic Media. Part
I: Derivation of the Methods . . . . . . 1700--1716
I. Aavatsmark and
T. Barkve and
O. Bòe and
T. Mannseth Discretization on Unstructured Grids For
Inhomogeneous, Anisotropic Media. Part
II: Discussion And Numerical Results . . 1717--1736
Gregory Baker and
André Nachbin Stable Methods for Vortex Sheet Motion
in the Presence of Surface Tension . . . 1737--1766
Franciszek A. Dul MINRES and MINERR Are Better than SYMMLQ
in Eigenpair Computations . . . . . . . 1767--1782
Tobin A. Driscoll and
Stephen A. Vavasis Numerical Conformal Mapping Using
Cross-Ratios and Delaunay Triangulation 1783--1803
Tomasz Hrycak and
Vladimir Rokhlin An Improved Fast Multipole Algorithm for
Potential Fields . . . . . . . . . . . . 1804--1826
Wenlong Dai and
Paul R. Woodward A High-Order Iterative Implicit-Explicit
Hybrid Scheme for Magnetohydrodynamics 1827--1846
K. Ito and
S. S. Ravindran Optimal Control of Thermally Convected
Fluid Flows . . . . . . . . . . . . . . 1847--1869
W. J. Layton and
J. M. Maubach and
P. J. Rabier Robustness of an Elementwise Parallel
Finite Element Method for
Convection-Diffusion Problems . . . . . 1870--1891
Guang-Shan Jiang and
Eitan Tadmor Nonoscillatory Central Schemes for
Multidimensional Hyperbolic Conservation
Laws . . . . . . . . . . . . . . . . . . 1892--1917
Chen Greif and
James Varah Iterative Solution of Cyclically Reduced
Systems Arising from Discretization of
the Three-Dimensional
Convection-Diffusion Equation . . . . . 1918--1940
Luca F. Pavarino Preconditioned Mixed Spectral Element
Methods for Elasticity and Stokes
Problems . . . . . . . . . . . . . . . . 1941--1957
J. M. Fiard and
T. A. Manteuffel and
S. F. McCormick First-Order System Least Squares (FOSLS)
for Convection-Diffusion Problems:
Numerical Results . . . . . . . . . . . 1958--1979
Leland Jameson A Wavelet-Optimized, Very High Order
Adaptive Grid and Order Numerical Method 1980--2013
Martin J. Gander and
Andrew M. Stuart Space--time Continuous Analysis of
Waveform Relaxation for the Heat
Equation . . . . . . . . . . . . . . . . 2014--2031
Axel Klar Asymptotic-Induced Domain Decomposition
Methods for Kinetic and Drift Diffusion
Semiconductor Equations . . . . . . . . 2032--2050
M. Berzins A Solution-Based Triangular and
Tetrahedral Mesh Quality Indicator . . . 2051--2060
Francis Collino and
Peter Monk The Perfectly Matched Layer in
Curvilinear Coordinates . . . . . . . . 2061--2090
John R. Gilbert and
Gary L. Miller and
Shang-Hua Teng Geometric Mesh Partitioning:
Implementation and Experiments . . . . . 2091--2110
W. Layton and
H. K. Lee and
J. Peterson Numerical Solution of the Stationary
Navier--Stokes Equations Using a
Multilevel Finite Element Method . . . . 1--12
F. Ben Belgacem and
M. Grundmann Approximation of the Wave and
Electromagnetic Diffusion Equations by
Spectral Method . . . . . . . . . . . . 13--32
Scott Shaobing Chen and
David L. Donoho and
Michael A. Saunders Atomic Decomposition by Basis Pursuit 33--61
J. S. Hesthaven A Stable Penalty Method for the
Compressible Navier--Stokes Equations:
III. Multidimensional Domain
Decomposition Schemes . . . . . . . . . 62--93
Diederik R. Fokkema and
Gerard L. G. Sleijpen and
Henk A. van der Vorst Jacobi--Davidson Style QR and QZ
Algorithms for the Reduction of Matrix
Pencils . . . . . . . . . . . . . . . . 94--125
Luhan Chuang and
I. Norman Katz Numerical Methods for Finding
Clustersolutions of Optimal Control
Problems . . . . . . . . . . . . . . . . 126--147
Erding Luo and
Heinz-Otto Kreiss Pseudospectral vs. Finite Difference
Methods for Initial Value Problems with
Discontinuous Coefficient . . . . . . . 148--163
Peter White and
James Powell Spatial Invasion of Pine Beetles into
Lodgepole Forests: a Numerical Approach 164--184
Hans Olsson and
Gustaf Söderlind Stage Value Predictors and Efficient
Newton Iterations in Implicit
Runge--Kutta Methods . . . . . . . . . . 185--202
J. M. Banoczi and
Nan-Chieh Chiu and
Grace E. Cho and
Ilse C. F. Ipsen The Lack of Influence of the Right-Hand
Side on the Accuracy of Linear System
Solution . . . . . . . . . . . . . . . . 203--227
Steve Schaffer A Semicoarsening Multigrid Method for
Elliptic Partial Differential Equations
with Highly Discontinuous and
Anisotropic Coefficients . . . . . . . . 228--242
J. Baglama and
D. Calvetti and
G. H. Golub and
L. Reichel Adaptively Preconditioned GMRES
Algorithms . . . . . . . . . . . . . . . 243--269
Chris Fraley Algorithms for Model-Based Gaussian
Hierarchical Clustering . . . . . . . . 270--281
Todd Plantenga A Trust Region Method for Nonlinear
Programming Based on Primal
Interior-Point Techniques . . . . . . . 282--305
Yoshimasa Nakamura Calculating Laplace Transforms in Terms
of the Toda Molecule . . . . . . . . . . 306--317
Leslie Greengard and
Mary Catherine Kropinski An Integral Equation Approach to the
Incompressible Navier--Stokes Equations
in Two Dimensions . . . . . . . . . . . 318--336
Ananth Grama and
Vipin Kumar and
Ahmed Sameh Parallel Hierarchical Solvers and
Preconditioners for Boundary Element
Methods . . . . . . . . . . . . . . . . 337--358
George Karypis and
Vipin Kumar A Fast and High Quality Multilevel
Scheme for Partitioning Irregular Graphs 359--392
E. Morano and
D. J. Mavriplis and
V. Venkatakrishnan Coarsening Strategies for Unstructured
Multigrid Techniques with Application to
Anisotropic Problems . . . . . . . . . . 393--415
Laurent O. Jay Structure Preservation for Constrained
Dynamics with Super Partitioned Additive
Runge--Kutta Methods . . . . . . . . . . 416--446
Vipin Gopal and
Lorenz T. Biegler A Successive Linear Programming Approach
for Initialization and Reinitialization
after Discontinuities of
Differential-Algebraic Equations . . . . 447--467
Bruce Hendrickson and
Edward Rothberg Improving the Run Time and Quality of
Nested Dissection Ordering . . . . . . . 468--489
Panayot S. Vassilevski and
Junping Wang Stabilizing the Hierarchical Basis by
Approximate Wavelets II: Implementation
and Numerical Results . . . . . . . . . 490--514
S. Knapek Matrix-Dependent Multigrid
Homogenization for Diffusion Problems 515--533
J. Sand and
K. Burrage A Jacobi Waveform Relaxation Method for
ODEs . . . . . . . . . . . . . . . . . . 534--552
Bodo Heise and
Michael Jung Efficiency, Scalability, and Robustness
of Parallel Multilevel Methods for
Nonlinear Partial Differential Equations 553--567
T. F. Chan and
E. Chow and
Y. Saad and
M. C. Yeung Preserving Symmetry in Preconditioned
Krylov Subspace Methods . . . . . . . . 568--581
J. W. Neuberger and
R. J. Renka Sobolev Gradients and the
Ginzburg--Landau Functional . . . . . . 582--590
C. J. Budd and
G. P. Koomullil and
A. M. Stuart On the Solution of Convection-Diffusion
Boundary Value Problems Using
Equidistributed Grids . . . . . . . . . 591--618
Dionissios T. Hristopulos and
George Christakos Numerical Implementation of a
Space-Transformation Approach for
Solving the Three-Dimensional Flow
Equation . . . . . . . . . . . . . . . . 619--647
David J. Haroldsen and
Daniel I. Meiron Numerical Calculation of
Three-Dimensional Interfacial Potential
Flows Using the Point Vortex Method . . 648--683
Ke Chen On a Class of Preconditioning Methods
for Dense Linear Systems from Boundary
Elements . . . . . . . . . . . . . . . . 684--698
N. Yarvin and
V. Rokhlin Generalized Gaussian Quadratures and
Singular Value Decompositions of
Integral Operators . . . . . . . . . . . 699--718
Shengtai Li and
Linda Petzold and
Yuhe Ren Stability of Moving Mesh Systems of
Partial Differential Equations . . . . . 719--738
Norbert Heuer and
Ernst P. Stephan Iterative Substructuring for
Hypersingular Integral Equations in $
\mathbb {R}^3 $ . . . . . . . . . . . . 739--749
F. Xabier Garaizar and
John Trangenstein Adaptive Mesh Refinement and
Front-Tracking for Shear Bands in an
Antiplane Shear Model . . . . . . . . . 750--779
M. Hadjinicolaou and
D. A. Goussis Asymptotic Solution of Stiff PDEs with
the CSP Method: The Reaction Diffusion
Equation . . . . . . . . . . . . . . . . 781--810
Feng Liu and
Shanhong Ji and
Guojun Liao An Adaptive Grid Method and Its
Application to Steady Euler Flow
Calculations . . . . . . . . . . . . . . 811--825
Ludwig W. Dorodnicyn Kinetical-Consistent Algorithms for
Simulation of Reactive Flows . . . . . . 826--843
Ole C. Lingjærde and
Knut Liestòl Generalized projection pursuit
regression . . . . . . . . . . . . . . . 844--857
Raz Kupferman A Numerical Study of the Axisymmetric
Couette--Taylor Problem Using a Fast
High-Resolution Second-Order Central
Scheme . . . . . . . . . . . . . . . . . 858--877
Jennifer M. Deang and
Max D. Gunzburger Issues Related to Least-Squares Finite
Element Methods for the Stokes Equations 878--906
Len Margolin and
Piotr K. Smolarkiewicz Antidiffusive Velocities for Multipass
Donor Cell Advection . . . . . . . . . . 907--929
B. García-Archilla and
J. M. Sanz-Serna and
R. D. Skeel Long-Time-Step Methods for Oscillatory
Differential Equations . . . . . . . . . 930--963
Roberto Barrio and
Javier Sabadell A Parallel Algorithm to Evaluate
Chebyshev Series on a Message Passing
Environment . . . . . . . . . . . . . . 964--969
Luca Bergamaschi and
Stefano Mantica and
Gianmarco Manzini A Mixed Finite Element--Finite Volume
Formulation of the Black-Oil Model . . . 970--997
Weizhang Huang and
Robert D. Russell Moving Mesh Strategy Based on a Gradient
Flow Equation for Two-Dimensional
Problems . . . . . . . . . . . . . . . . 998--1015
Michael H. Oettli A Robust, Parallel Homotopy Algorithm
for the Symmetric Tridiagonal
Eigenproblem . . . . . . . . . . . . . . 1016--1032
René-Edouard Plessix and
Yann-Hervé De Roeck and
Guy Chavent Waveform Inversion of Reflection Seismic
Data for Kinematic Parameters by Local
Optimization . . . . . . . . . . . . . . 1033--1052
Francesc Ar\`andiga and
Rosa Donat and
Ami Harten Multiresolution Based on Weighted
Averages of the Hat Function II:
Nonlinear Reconstruction Techniques . . 1053--1093
Alan Edelman and
Peter McCorquodale and
Sivan Toledo The Future Fast Fourier Transform? . . . 1094--1114
Lei Tang and
James D. Baeder Uniformly Accurate Finite Difference
Schemes for $p$-Refinement . . . . . . . 1115--1131
Bruce Hendrickson and
Elizabeth Jessup and
Christopher Smith Toward an Efficient Parallel Eigensolver
for Dense Symmetric Matrices . . . . . . 1132--1154
Gregorio Quintana-Ortí and
Enrique S. Quintana-Ortí and
Antoine Petitet Efficient Solution Of The Rank-Deficient
Linear Least Squares Problem . . . . . . 1155--1163
Mark Sussman and
Emad Fatemi An Efficient, Interface-Preserving Level
Set Redistancing Algorithm and Its
Application to Interfacial
Incompressible Fluid Flow . . . . . . . 1165--1191
Kai Bittner Fast Algorithms for Periodic Spline
Wavelets on Sparse Grids . . . . . . . . 1192--1213
J. M. Banoczi and
C. T. Kelley A Fast Multilevel Algorithm for the
Solution of Nonlinear Systems of
Conductive-Radiative Heat Transfer
Equations in Two Space Dimensions . . . 1214--1228
Gabriella Puppo A Vortex-Grid Method for Prandtl's
Equations . . . . . . . . . . . . . . . 1229--1251
Valmor F. de Almeida Domain Deformation Mapping: Application
to Variational Mesh Generation . . . . . 1252--1275
Damaris Hermey and
G. Alistair Watson Fitting Data with Errors in All
Variables Using the Huber $M$-estimator 1276--1298
Howard C. Elman Preconditioning for the Steady-State
Navier--Stokes Equations with Low
Viscosity . . . . . . . . . . . . . . . 1299--1316
Kun Xu A Gas-Kinetic Scheme for the Euler
Equations with Heat Transfer . . . . . . 1317--1335
G. W. Stewart The QLP Approximation to the Singular
Value Decomposition . . . . . . . . . . 1336--1348
Randolph E. Bank and
R. Kent Smith The Incomplete Factorization Multigraph
Algorithm . . . . . . . . . . . . . . . 1349--1364
Jan Nordström and
Niklas Nordin and
Dan Henningson The Fringe Region Technique and the
Fourier Method Used in the Direct
Numerical Simulation of Spatially
Evolving Viscous Flows . . . . . . . . . 1365--1393
Mo Mu Solving Composite Problems with
Interface Relaxation . . . . . . . . . . 1394--1416
A. Brandt and
J. Dym Fast Calculation of Multiple Line
Integrals . . . . . . . . . . . . . . . 1417--1429
Thomas F. Coleman and
Gudbjorn F. Jonsson The Efficient Computation of Structured
Gradients using Automatic
Differentiation . . . . . . . . . . . . 1430--1437
Jie Shen Efficient Spectral-Galerkin Methods IV.
Spherical Geometries . . . . . . . . . . 1438--1455
J. G. Verwer and
E. J. Spee and
J. G. Blom and
W. Hundsdorfer A Second-Order Rosenbrock Method Applied
to Photochemical Dispersion Problems . . 1456--1480
Tasso Lappas and
Anthony Leonard and
Paul E. Dimotakis Riemann Invariant Manifolds for the
Multidimensional Euler Equations . . . . 1481--1512
Joseph Kolibal Importance of Convection and Damping on
Rates of Convergence for the
Lax--Wendroff Method . . . . . . . . . . 1513--1529
M. I. Gerritsma and
T. N. Phillips Compatible Spectral Approximations for
the Velocity-Pressure-Stress Formulation
of the Stokes Problem . . . . . . . . . 1530--1550
Bradley K. Alpert Hybrid Gauss-Trapezoidal Quadrature
Rules . . . . . . . . . . . . . . . . . 1551--1584
Bo Strand Simulations of Acoustic Wave Phenomena
Using High-Order Finite Difference
Approximations . . . . . . . . . . . . . 1585--1604
C. Carstensen and
O. Scherf and
P. Wriggers Adaptive Finite Elements for Elastic
Bodies in Contact . . . . . . . . . . . 1605--1626
T. Y. Li and
Zhonggang Zeng The Homotopy Continuation Algorithm for
the Real Nonsymmetric Eigenproblem:
Further Development and Implementation 1627--1651
Michele Benzi and
Daniel B. Szyld and
Arno van Duin Orderings for Incomplete Factorization
Preconditioning of Nonsymmetric Problems 1652--1670
T. C. Warburton and
S. J. Sherwin and
G. E. Karniadakis Basis Functions for Triangular and
Quadrilateral High-Order Elements . . . 1671--1695
Axel Klar A Numerical Method for Kinetic
Semiconductor Equations in the
Drift-Diffusion Limit . . . . . . . . . 1696--1712
Elisabeth Larsson A Domain Decomposition Method for the
Helmholtz Equation in a Multilayer
Domain . . . . . . . . . . . . . . . . . 1713--1731
N. K. Leung and
R. J. Renka $ C^1 $ Convexity-Preserving
Interpolation of Scattered Data . . . . 1732--1752
L. S. Hou and
S. S. Ravindran Numerical Approximation of Optimal Flow
Control Problems by a Penalty Method:
Error Estimates and Numerical Results 1753--1777
Tuomo Rossi and
Jari Toivanen A Parallel Fast Direct Solver for Block
Tridiagonal Systems with Separable
Matrices of Arbitrary Dimension . . . . 1778--1793
I. J. Anderson A Distillation Algorithm for
Floating-Point Summation . . . . . . . . 1797--1806
Owe Axelsson and
Alexander Padiy On the Additive Version of the Algebraic
Multilevel Iteration Method for
Anisotropic Elliptic Problems . . . . . 1807--1830
Andreas Frommer and
Peter Maass Fast CG-Based Methods for
Tikhonov--Phillips Regularization . . . 1831--1850
Zi-Niu Wu Steady and Unsteady Shock Waves on
Overlapping Grids . . . . . . . . . . . 1851--1874
C. J. Budd and
A. R. Humphries and
A. J. Wathen The Finite Element Approximation of
Semilinear Elliptic Partial Differential
Equations with Critical Exponents in the
Cube . . . . . . . . . . . . . . . . . . 1875--1904
J. Glimm and
S. R. Simanca and
D. Tan and
F. M. Tangerman and
G. VanDerWoude Front Tracking Simulations of Ion
Deposition and Resputtering . . . . . . 1905--1920
Nicola Mastronardi and
Daniel Boley Computing the Smallest Eigenpair of a
Symmetric Positive Definite Toeplitz
Matrix . . . . . . . . . . . . . . . . . 1921--1927
Richard A. Redner Convergence Rates for Uniform B-Spline
Density Estimators Part I: One Dimension 1929--1953
T. Y. Li and
Xiulin Zou Implementing the Parallel
Quasi-Laguerre's Algorithm for Symmetric
Tridiagonal Eigenproblems . . . . . . . 1954--1963
Tony F. Chan and
Gene H. Golub and
Pep Mulet A Nonlinear Primal-Dual Method for Total
Variation-Based Image Restoration . . . 1964--1977
Weiming Cao and
Weizhang Huang and
Robert D. Russell A Study of Monitor Functions for
Two-Dimensional Adaptive Mesh Generation 1978--1994
N. Anders Petersson An Algorithm for Assembling Overlapping
Grid Systems . . . . . . . . . . . . . . 1995--2022
Lori Freitag and
Mark Jones and
Paul Plassmann A Parallel Algorithm for Mesh Smoothing 2023--2040
I. G. Graham and
M. J. Hagger Unstructured Additive Schwarz--Conjugate
Gradient Method for Elliptic Problems
with Highly Discontinuous Coefficients 2041--2066
Ch. Tsitouras and
S. N. Papakostas Cheap Error Estimation for Runge--Kutta
Methods . . . . . . . . . . . . . . . . 2067--2088
Ulrich Elsner and
Volker Mehrmann and
Frank Milde and
Rudolf A. Römer and
Michael Schreiber The Anderson Model of Localization: a
Challenge for Modern Eigenvalue Methods 2089--2102
Yousef Saad and
Jun Zhang BILUM: Block Versions of
Multielimination and Multilevel ILU
Preconditioner for General Sparse Linear
Systems . . . . . . . . . . . . . . . . 2103--2121
Qiang Du and
Paul Gray Numerical Algorithms of the
Lawrence--Doniach Model for Layered
Superconductors and their Parallel
Implementation . . . . . . . . . . . . . 2122--2139
C. Brezinski and
J.-P. Chehab Multiparameter Iterative Schemes for the
Solution of Systems of Linear and
Nonlinear Equations . . . . . . . . . . 2140--2159
Hong Wang and
Helge K. Dahle and
Richard E. Ewing and
Magne S. Espedal and
Robert C. Sharpley and
Shushuang Man An ELLAM Scheme for Advection-Diffusion
Equations in Two Dimensions . . . . . . 2160--2194
Christian Lage and
Christoph Schwab Wavelet Galerkin Algorithms for Boundary
Integral Equations . . . . . . . . . . . 2195--2222
Françoise Tisseur and
Jack Dongarra A Parallel Divide and Conquer Algorithm
for the Symmetric Eigenvalue Problem on
Distributed Memory Architectures . . . . 2223--2236
E. Braverman and
M. Israeli and
A. Averbuch A Fast Spectral Solver for a $3$D
Helmholtz Equation . . . . . . . . . . . 2237--2260
Dexuan Xie and
Loyce Adams New Parallel SOR Method by Domain
Partitioning . . . . . . . . . . . . . . 2261--2281
John E. Tolsma and
Paul I. Barton Efficient Calculation of Sparse
Jacobians . . . . . . . . . . . . . . . 2282--2296
P. Wilders and
E. Brakkee Schwarz and Schur: an Algebraical Note
on Equivalence Properties . . . . . . . 2297--2303
Mary Ann Branch and
Thomas F. Coleman and
Yuying Li A Subspace, Interior, and Conjugate
Gradient Method for Large-Scale
Bound-Constrained Minimization Problems 1--23
Chih-Jen Lin and
Jorge J. Moré Incomplete Cholesky Factorizations with
Limited Memory . . . . . . . . . . . . . 24--45
Tony F. Chan and
Susie Go and
Jun Zou Boundary Treatments for Multilevel
Methods on Unstructured Meshes . . . . . 46--66
Janis P. Hardwick and
Quentin F. Stout Using Path Induction to Evaluate
Sequential Allocation Procedures . . . . 67--87
Misha E. Kilmer and
Dianne P. O'Leary Pivoted Cauchy-Like Preconditioners for
Regularized Solution of Ill-Posed
Problems . . . . . . . . . . . . . . . . 88--110
J. A. C. Weideman Algorithms for Parameter Selection in
the Weeks Method for Inverting the
Laplace Transform . . . . . . . . . . . 111--128
Edward Rothberg and
Robert Schreiber Efficient Methods for Out-of-Core Sparse
Cholesky Factorization . . . . . . . . . 129--144
So-Hsiang Chou and
Do Y. Kwak and
Panayot S. Vassilevski Mixed Upwinding Covolume Methods on
Rectangular Grids for
Convection-Diffusion Problems . . . . . 145--165
Semyon V. Tsynkov External Boundary Conditions for
Three-Dimensional Problems of
Computational Aerodynamics . . . . . . . 166--206
Barbara Zubik-Kowal and
Stefan Vandewalle Waveform Relaxation for
Functional-Differential Equations . . . 207--226
W. H. Enright and
P. H. Muir Superconvergent Interpolants for the
Collocation Solution of Boundary Value
Ordinary Differential Equations . . . . 227--254
Thomas Fevens and
Hong Jiang Absorbing Boundary Conditions for the
Schrödinger Equation . . . . . . . . . . 255--282
Nhu Nguyen and
Qing Huo Liu The Regular Fourier Matrices and
Nonuniform Fast Fourier Transforms . . . 283--293
Franca Bianco and
Gabriella Puppo and
Giovanni Russo High-Order Central Schemes for
Hyperbolic Systems of Conservation Laws 294--322
F. Iavernaro and
F. Mazzia Block-Boundary Value Methods for the
Solution of Ordinary Differential
Equations . . . . . . . . . . . . . . . 323--339
Arun In Numerical Evaluation of an Energy
Relaxation Method for Inviscid Real
Fluids . . . . . . . . . . . . . . . . . 340--365
M. De Cicco and
S. Succi and
G. Bella Nonlinear Stability of Compressible
Thermal Lattice BGK Models . . . . . . . 366--377
D. J. Torres and
E. A. Coutsias Pseudospectral Solution of the
Two-Dimensional Navier--Stokes Equations
in a Disk . . . . . . . . . . . . . . . 378--403
Mats Holmström Solving Hyperbolic PDEs Using
Interpolating Wavelets . . . . . . . . . 405--420
B. N. Khoromskij and
G. E. Mazurkevich and
G. Wittum Frequency Filtering for Elliptic
Interface Problems with Lagrange
Multipliers . . . . . . . . . . . . . . 421--440
Shi Jin Efficient Asymptotic-Preserving (AP)
Schemes For Some Multiscale Kinetic
Equations . . . . . . . . . . . . . . . 441--454
Claude Manté The Use of Regularization Methods in
Computing Radon--Nikodým Derivatives.
Application to Grain-Size Distributions 455--472
Achi Brandt and
Boris Diskin Multigrid Solvers for Nonaligned Sonic
Flows . . . . . . . . . . . . . . . . . 473--501
Pierre-Alain Gremaud and
Nicholas R. Ide Computation of Nonclassical Solutions to
Hamilton--Jacobi Problems . . . . . . . 502--521
Weiming Cao and
Benqi Guo Preconditioning on Element Interfaces
for the $p$-Version Finite Element
Method and Spectral Element Method . . . 522--551
Do Y. Kwak $V$-Cycle Multigrid for Cell-Centered
Finite Differences . . . . . . . . . . . 552--564
Arnold Reusken On the Approximate Cyclic Reduction
Preconditioner . . . . . . . . . . . . . 565--590
G. J. Lord and
A. R. Champneys and
G. W. Hunt Computation of Homoclinic Orbits in
Partial Differential Equations: An
Application to Cylindrical Shell
Buckling . . . . . . . . . . . . . . . . 591--619
Feng Wang and
Jinchao Xu A Crosswind Block Iterative Method for
Convection-Dominated Problems . . . . . 620--645
N. Anders Petersson Hole-Cutting for Three-Dimensional
Overlapping Grids . . . . . . . . . . . 646--665
Changqing Hu and
Chi-Wang Shu A Discontinuous Galerkin Finite Element
Method for Hamilton--Jacobi Equations 666--690
D. A. Knoll and
W. J. Rider A Multigrid Preconditioned
Newton--Krylov Method . . . . . . . . . 691--710
S. Blanes and
F. Casas and
J. Ros Symplectic Integration with Processing:
a General Study . . . . . . . . . . . . 711--727
Slimane Adjerid and
Belkacem Belguendouz and
Joseph E. Flaherty A Posteriori Finite Element Error
Estimation for Diffusion Problems . . . 728--746
S. N. Papakostas and
Ch. Tsitouras High Phase-Lag-Order Runge--Kutta and
Nyström Pairs . . . . . . . . . . . . . . 747--763
C. Brezinski Error Estimates for the Solution of
Linear Systems . . . . . . . . . . . . . 764--781
Hongyuan Zha and
Horst D. Simon On Updating Problems in Latent Semantic
Indexing . . . . . . . . . . . . . . . . 782--791
Xiao-Chuan Cai and
Marcus Sarkis A Restricted Additive Schwarz
Preconditioner for General Sparse Linear
Systems . . . . . . . . . . . . . . . . 792--797
Friedrich K. Hebeker and
Rolf Rannacher An Adaptive Finite Element Method for
Unsteady Convection-Dominated Flows with
Stiff Source Terms . . . . . . . . . . . 799--818
Christopher R. Anderson and
Archie C. Li Integral Equation Preconditioning for
the Solution of Poisson's Equation on
Geometrically Complex Regions . . . . . 819--835
Tony F. Chan and
Michael K. Ng Galerkin Projection Methods for Solving
Multiple Linear Systems . . . . . . . . 836--850
Michael K. Ng and
Raymond H. Chan and
Wun-Cheung Tang A Fast Algorithm for Deblurring Models
with Neumann Boundary Conditions . . . . 851--866
Robert Bridson and
Wei-Pai Tang Ordering, Anisotropy, and Factored
Sparse Approximate Inverses . . . . . . 867--882
Piero Barone Fast Deconvolution by a Two-Step Method 883--899
Petr Vanek and
Marian Brezina and
Radek Tezaur Two-grid Method for Linear Elasticity on
Unstructured Meshes . . . . . . . . . . 900--923
Ta-Hsin Li Multiscale Representation and Analysis
of Spherical Data by Spherical Wavelets 924--953
D. J. Kavvadias and
F. S. Makri and
M. N. Vrahatis Locating and Computing Arbitrarily
Distributed Zeros . . . . . . . . . . . 954--969
T. Amari and
J. F. Luciani and
P. Joly A Preconditioned Semi-Implicit Method
for Magnetohydrodynamics Equations . . . 970--986
Markus Hegland and
Margaret Kahn and
Michael Osborne A Parallel Algorithm for the Reduction
to Tridiagonal Form for
Eigendecomposition . . . . . . . . . . . 987--1005
A. Cohen and
R. Masson Wavelet Methods for Second-Order
Elliptic Problems, Preconditioning, and
Adaptivity . . . . . . . . . . . . . . . 1006--1026
Eric Barth and
Benedict Leimkuhler and
Sebastian Reich A Time-Reversible Variable-Stepsize
Integrator for Constrained Dynamics . . 1027--1044
Uri M. Ascher and
Sebastian Reich The Midpoint Scheme and Variants for
Hamiltonian Systems: Advantages and
Pitfalls . . . . . . . . . . . . . . . . 1045--1065
Monika Nitsche Axisymmetric Vortex Sheet Motion:
Accurate Evaluation of the Principal
Value Integral . . . . . . . . . . . . . 1066--1084
I. Perugia and
V. Simoncini and
M. Arioli Linear Algebra Methods in a Mixed
Approximation of Magnetostatic Problems 1085--1101
Paul A. Milewski and
Esteban G. Tabak A PseudoSpectral Procedure for the
Solution of Nonlinear Wave Equations
with Examples from Free-Surface Flows 1102--1114
Richard Saurel and
Rémi Abgrall A Simple Method for Compressible
Multifluid Flows . . . . . . . . . . . . 1115--1145
Tobin A. Driscoll and
Bengt Fornberg Block Pseudospectral Methods for
Maxwell's Equations II: Two-Dimensional,
Discontinuous-Coefficient Case . . . . . 1146--1167
Yair Shapira Multigrid for Locally Refined Meshes . . 1168--1190
Homer F. Walker An Adaptation of Krylov Subspace Methods
to Path Following Problems . . . . . . . 1191--1198
Ali Bouaricha and
Robert B. Schnabel Tensor Methods for Large, Sparse
Nonlinear Least Squares Problems . . . . 1199--1221
Gene H. Golub and
Peyman Milanfar and
James Varah A Stable Numerical Method for Inverting
Shape from Moments . . . . . . . . . . . 1222--1243
Uri Ascher and
Ping Lin Sequential Regularization Methods for
Simulating Mechanical Systems with Many
Closed Loops . . . . . . . . . . . . . . 1244--1262
Man-Chung Yeung and
Tony F. Chan ML$ (k) $BiCGSTAB: a BiCGSTAB Variant
Based on Multiple Lanczos Starting
Vectors . . . . . . . . . . . . . . . . 1263--1290
A. W. Bojanczyk and
A. Lutoborski The Procrustes Problem for Orthogonal
Stiefel Matrices . . . . . . . . . . . . 1291--1304
Gene H. Golub and
Qiang Ye Inexact Preconditioned Conjugate
Gradient Method with Inner-Outer
Iteration . . . . . . . . . . . . . . . 1305--1320
David Kay and
David Silvester A Posteriori Error Estimation for
Stabilized Mixed Approximations of the
Stokes Equations . . . . . . . . . . . . 1321--1336
Yousef Saad and
Maria Sosonkina Distributed Schur Complement Techniques
for General Sparse Linear Systems . . . 1337--1356
Achi Brandt and
Moshe Israeli and
Irad Yavneh and
Andrew Siegel Multigrid Solution of an Elliptic
Boundary-Value Problem with Integral
Constraints . . . . . . . . . . . . . . 1357--1369
Dalin Tang and
Jun Yang A Free Moving Boundary Model and
Boundary Iteration Method for Unsteady
Viscous Flow in Stenotic Elastic Tubes 1370--1386
Tony W. H. Sheu and
Morten M. T. Wang and
S. F. Tsai Element-by-Element Parallel Computation
of Incompressible Navier--Stokes
Equations in Three Dimensions . . . . . 1387--1400
Thilo Penzl A Cyclic Low-Rank Smith Method for Large
Sparse Lyapunov Equations . . . . . . . 1401--1418
Erik Adler Christensen and
Morten Bròns and
Jens Nòrkær Sòrensen Evaluation of Proper Orthogonal
Decomposition-Based Decomposition
Techniques Applied to
Parameter-Dependent Nonturbulent Flows 1419--1434
Jens Struckmeier A Steady-State Particle Method for the
Boltzmann Equation . . . . . . . . . . . 1435--1457
James S. Ball Automatic Computation of Zeros of Bessel
Functions and Other Special Functions 1458--1464
Carsten Carstensen and
Stefan A. Funken Fully Reliable Localized Error Control
in the FEM . . . . . . . . . . . . . . . 1465--1484
O. du Merle and
P. Hansen and
B. Jaumard and
N. Mladenovic An Interior Point Algorithm for Minimum
Sum-of-Squares Clustering . . . . . . . 1485--1505
S. H. Lui On Schwarz Alternating Methods for
Nonlinear Elliptic PDEs . . . . . . . . 1506--1523
Sverker Holmgren and
Henrik Brandén and
Erik Sterner Convergence Acceleration for the
Linearized Navier--Stokes Equations
using Semicirculant Approximations . . . 1524--1550
Jingfang Huang and
Leslie Greengard A Fast Direct Solver for Elliptic
Partial Differential Equations on
Adaptively Refined Meshes . . . . . . . 1551--1566
Peter K. Moore An Adaptive Finite Element Method for
Parabolic Differential Systems: Some
Algorithmic Considerations in Solving in
Three Space Dimensions . . . . . . . . . 1567--1586
V. Sirotkin and
P. Tarvainen Overlapping Schwarz Methods for a
Singularly Perturbed Semilinear Elliptic
Problem and Their Parallel
Implementation . . . . . . . . . . . . . 1587--1608
Donald Estep and
Dewey H. Hodges and
Michael Warner Computational Error Estimation and
Adaptive Error Control for a Finite
Element Solution of Launch Vehicle
Trajectory Problems . . . . . . . . . . 1609--1631
W. L. Wan and
Tony F. Chan and
Barry Smith An Energy-minimizing Interpolation for
Robust Multigrid Methods . . . . . . . . 1632--1649
Wolfgang Mackens and
Heinrich Voss Computing the Minimum Eigenvalue of a
Symmetric Positive Definite Toeplitz
Matrix by Newton-type Methods . . . . . 1650--1656
Susanne C. Brenner Lower Bounds for Two-Level Additive
Schwarz Preconditioners with Small
Overlap . . . . . . . . . . . . . . . . 1657--1669
C. W. Oosterlee and
T. Washio Krylov Subspace Acceleration of
Nonlinear Multigrid with Application to
Recirculating Flows . . . . . . . . . . 1670--1690
Tuugrul Dayar and
William J. Stewart Comparison of Partitioning Techniques
for Two-Level Iterative Solvers on
Large, Sparse Markov Chains . . . . . . 1691--1705
Z. Cai and
C.-O. Lee and
T. A. Manteuffel and
S. F. McCormick First-Order System Least Squares For
Linear Elasticity: Numerical Results . . 1706--1727
Z. Cai and
C.-O. Lee and
T. A. Manteuffel and
S. F. McCormick First-Order System Least Squares for the
Stokes and Linear Elasticity Equations:
Further Results . . . . . . . . . . . . 1728--1739
Jussi Rahola On the Eigenvalues of the Volume
Integral Operator of Electromagnetic
Scattering . . . . . . . . . . . . . . . 1740--1754
Jo Simoens and
Stefan Vandewalle Waveform Relaxation with Fast Direct
Methods as Preconditioner . . . . . . . 1755--1773
Rodolfo Bermejo and
Juan-Antonio Infante A Multigrid Algorithm for the
$p$-Laplacian . . . . . . . . . . . . . 1774--1789
Ananth Grama and
Vivek Sarin and
Ahmed Sameh Improving Error Bounds for
Multipole-Based Treecodes . . . . . . . 1790--1803
Edmond Chow A Priori Sparsity Patterns for Parallel
Sparse Approximate Inverse
Preconditioners . . . . . . . . . . . . 1804--1822
Peter N. Brown and
Robert D. Falgout and
Jim E. Jones Semicoarsening Multigrid on Distributed
Memory Machines . . . . . . . . . . . . 1823--1834
W. R. Ferng and
C. T. Kelley Mesh Independence of Matrix-Free Methods
for Path Following . . . . . . . . . . . 1835--1850
Michele Benzi and
Miroslav Tuma Orderings for Factorized Sparse
Approximate Inverse Preconditioners . . 1851--1868
Gerhard Starke Least-Squares Mixed Finite Element
Solution of Variably Saturated
Subsurface Flow Problems . . . . . . . . 1869--1885
Andrew J. Cleary and
Robert D. Falgout and
Van Emden Henson and
Jim E. Jones and
Thomas A. Manteuffel and
Stephen F. McCormick and
Gerald N. Miranda and
John W. Ruge Robustness and Scalability of Algebraic
Multigrid . . . . . . . . . . . . . . . 1886--1908
Y. Saad and
M. Yeung and
J. Erhel and
F. Guyomarc'h A Deflated Version of the Conjugate
Gradient Algorithm . . . . . . . . . . . 1909--1926
B. Lee and
T. A. Manteuffel and
S. F. McCormick and
J. Ruge First-Order System Least-Squares for the
Helmholtz Equation . . . . . . . . . . . 1927--1949
Klaus Lackner and
Ralph Menikoff Multiscale Linear Solvers for Very Large
Systems Derived from PDES . . . . . . . 1950--1968
Howard Elman Special Issue on Iterative Methods for
Solving Systems of Algebraic Equations vii--vii
Malcolm F. Murphy and
Gene H. Golub and
Andrew J. Wathen A Note on Preconditioning for Indefinite
Linear Systems . . . . . . . . . . . . . 1969--1972
Michael K. Ng Preconditioned Lanczos Methods for the
Minimum Eigenvalue of a Symmetric
Positive Definite Toeplitz Matrix . . . 1973--1986
Gunther Reissig and
Wade S. Martinson and
Paul I. Barton Differential-Algebraic Equations of
Index $1$ May Have an Arbitrarily High
Structural Index . . . . . . . . . . . . 1987--1990
Yvan Notay Optimal Order Preconditioning of Finite
Difference Matrices . . . . . . . . . . 1991--2007
Mardochée Magolu Monga-Made and
Yvan Notay Dynamically Relaxed Block Incomplete
Factorizations for Solving Two- and
Three-Dimensional Problems . . . . . . . 2008--2028
Patrick M. Knupp and
Nicolas Robidoux A Framework for Variational Grid
Generation: Conditioning the Jacobian
Matrix with Matrix Norms . . . . . . . . 2029--2047
Bruce Hendrickson and
Tamara G. Kolda Partitioning Rectangular and
Structurally Unsymmetric Sparse Matrices
for Parallel Processing . . . . . . . . 2048--2072
Giovanni Russo and
Peter Smereka A Level-Set Method for the Evolution of
Faceted Crystals . . . . . . . . . . . . 2073--2095
Alv-Arne Grimstad and
Trond Mannseth Nonlinearity, Scale, and Sensitivity for
Parameter Estimation Problems . . . . . 2096--2113
Kari Brusdal and
Trond Mannseth Basis Norm Rescaling for Nonlinear
Parameter Estimation . . . . . . . . . . 2114--2125
Guang-Shan Jiang and
Danping Peng Weighted ENO Schemes for
Hamilton--Jacobi Equations . . . . . . . 2126--2143
Eberhard Bänsch and
Burkhard Höhn Numerical Treatment of the
Navier--Stokes Equations with Slip
Boundary Condition . . . . . . . . . . . 2144--2162
Chi-Tien Lin and
Eitan Tadmor High-Resolution Nonoscillatory Central
Schemes for Hamilton--Jacobi Equations 2163--2186
Lars Eldén and
Fredrik Berntsson and
Teresa Reginska Wavelet and Fourier Methods for Solving
the Sideways Heat Equation . . . . . . . 2187--2205
Stig Skelboe Accuracy of Decoupled Implicit
Integration Formulas . . . . . . . . . . 2206--2224
Roberto Barrio Parallel Algorithms to Evaluate
Orthogonal Polynomial Series . . . . . . 2225--2239
James Glimm and
John W. Grove and
X. L. Li and
D. C. Tan Robust Computational Algorithms for
Dynamic Interface Tracking in Three
Dimensions . . . . . . . . . . . . . . . 2240--2256
Horst D. Simon and
Hongyuan Zha Low-Rank Matrix Approximation Using the
Lanczos Bidiagonalization Process with
Applications . . . . . . . . . . . . . . 2257--2274
D. J. Higham and
A. R. Humphries and
R. J. Wain Phase Space Error Control for Dynamical
Systems . . . . . . . . . . . . . . . . 2275--2294
Wade S. Martinson and
Paul I. Barton A Differentiation Index for Partial
Differential-Algebraic Equations . . . . 2295--2315
David Colton and
Klaus Giebermann and
Peter Monk A Regularized Sampling Method for
Solving Three-Dimensional Inverse
Scattering Problems . . . . . . . . . . 2316--2330
Alan George and
Lan Chieh Huang and
Wei-Pai Tang and
Ya Dan Wu Numerical Simulation of Unsteady
Incompressible Flow $ ({\rm Re} \leq
9500) $ on the Curvilinear
Half-Staggered Mesh . . . . . . . . . . 2331--2351
J. S. Hesthaven and
C. H. Teng Stable Spectral Methods on Tetrahedral
Elements . . . . . . . . . . . . . . . . 2352--2380
John W. Ruge and
Yong Li and
Steve McCormick and
Achi Brandt and
J. R. Bates A Nonlinear Multigrid Solver for a
Semi-Lagrangian Potential
Vorticity-Based Shallow-Water Model on
the Sphere . . . . . . . . . . . . . . . 2381--2395
Michael Junk and
Axel Klar Discretizations for the Incompressible
Navier--Stokes Equations Based on the
Lattice Boltzmann Method . . . . . . . . 1--19
Mark A. Aves and
David F. Griffiths and
Desmond J. Higham Runge--Kutta Solutions of a Hyperbolic
Conservation Law with Source Term . . . 20--38
Jeff Borggaard and
Arun Verma On Efficient Solutions to the Continuous
Sensitivity Equation Using Automatic
Differentiation . . . . . . . . . . . . 39--62
C. Walshaw and
M. Cross Mesh Partitioning: a Multilevel
Balancing and Refinement Algorithm . . . 63--80
J. W. Demmel and
L. Dieci and
M. J. Friedman Computing Connecting Orbits via an
Improved Algorithm for Continuing
Invariant Subspaces . . . . . . . . . . 81--94
Margreet Nool and
Auke van der Ploeg A Parallel Jacobi--Davidson-type Method
for Solving Large Generalized Eigenvalue
Problems in Magnetohydrodynamics . . . . 95--112
Mao De-kang Toward Front Tracking Based on
Conservation in Two Space Dimensions . . 113--151
Ömer Eugeciou\uglu and
Ashok Srinivasan Efficient Nonparametric Density
Estimation on the Sphere with
Applications in Fluid Mechanics . . . . 152--176
Martin Berzins A Data-Bounded Quadratic Interpolant on
Triangles and Tetrahedra . . . . . . . . 177--197
E. F. D'Azevedo Are Bilinear Quadrilaterals Better Than
Linear Triangles? . . . . . . . . . . . 198--217
Ignacio M. Llorente and
Boris Diskin and
N. Duane Melson Alternating Plane Smoothers For
Multiblock Grids . . . . . . . . . . . . 218--242
Knud D. Andersen and
Edmund Christiansen and
Andrew R. Conn and
Michael L. Overton An Efficient Primal-Dual Interior-Point
Method for Minimizing a Sum of Euclidean
Norms . . . . . . . . . . . . . . . . . 243--262
Alfio Borz\`\i and
Karl Kunisch The Numerical Solution of the Steady
State Solid Fuel Ignition Model and Its
Optimal Control . . . . . . . . . . . . 263--284
Valmor F. De Almeida and
Jeffrey J. Derby Construction of Solution Curves for
Large Two-Dimensional Problems of
Steady-State Flows of Incompressible
Fluids . . . . . . . . . . . . . . . . . 285--311
Jerry Markman and
I. Norman Katz An Iterative Algorithm for Solving
Hamilton--Jacobi Type Equations . . . . 312--329
C. Y. Loh and
W. H. Hui A New Lagrangian Method for
Time-Dependent Inviscid Flow Computation 330--350
R. Kuske Gradient-Particle Solutions of
Fokker--Planck Equations for Noisy Delay
Bifurcations . . . . . . . . . . . . . . 351--367
Marc Garbey and
Hans G. Kaper Asymptotic-Numerical Study of
Supersensitivity for Generalized
Burgers' Equations . . . . . . . . . . . 368--385
Antonio Marquina and
Stanley Osher Explicit Algorithms for a New Time
Dependent Model Based on Level Set
Motion for Nonlinear Deblurring and
Noise Removal . . . . . . . . . . . . . 387--405
Haesun Park and
Lars Eldén Schur-Type Methods for Solving Least
Squares Problems with Toeplitz Structure 406--430
Douglas N. Arnold and
Arup Mukherjee and
Luc Pouly Locally Adapted Tetrahedral Meshes Using
Bisection . . . . . . . . . . . . . . . 431--448
C.-D. Munz and
R. Schneider and
U. Voss A Finite-Volume Method for the Maxwell
Equations in the Time Domain . . . . . . 449--475
David W. Zingg Comparison of High-Accuracy
Finite-Difference Methods for Linear
Wave Propagation . . . . . . . . . . . . 476--502
Tony Chan and
Antonio Marquina and
Pep Mulet High-Order Total Variation-Based Image
Restoration . . . . . . . . . . . . . . 503--516
Xin-wei Liu and
Ya-xiang Yuan A Robust Algorithm for Optimization with
General Equality and Inequality
Constraints . . . . . . . . . . . . . . 517--534
Andrew Kuprat Modeling Microstructure Evolution Using
Gradient-Weighted Moving Finite Elements 535--560
Hong Wang and
Dong Liang and
Richard E. Ewing and
Stephen L. Lyons and
Guan Qin An Approximation to Miscible Fluid Flows
in Porous Media with Point Sources and
Sinks by an Eulerian--Lagrangian
Localized Adjoint Method and Mixed
Finite Element Methods . . . . . . . . . 561--581
Roman Wienands and
Cornelis W. Oosterlee and
Takumi Washio Fourier Analysis of GMRES$ (m) $
Preconditioned by Multigrid . . . . . . 582--603
O. Steinbach Adaptive Boundary Element Methods Based
on Computational Schemes for Sobolev
Norms . . . . . . . . . . . . . . . . . 604--616
Carl Erik Wasberg and
David Gottlieb Optimal Decomposition of the Domain in
Spectral Methods for Wave-Like Phenomena 617--632
Boris Diskin and
James L. Thomas Half-Space Analysis of the
Defect-Correction Method for Fromm
Discretization of Convection . . . . . . 633--655
Doron Levy and
Gabriella Puppo and
Giovanni Russo Compact Central WENO Schemes for
Multidimensional Conservation Laws . . . 656--672
Mark Ainsworth and
Mark Arnold Construction and Analysis of Optimal
Hierarchic Models of Boundary Value
Problems on Thin Circular and Spherical
Geometries . . . . . . . . . . . . . . . 673--703
J. Maryska and
M. Rozlozník and
M. Tuma Schur Complement Systems in the
Mixed-Hybrid Finite Element
Approximation of the Potential Fluid
Flow Problem . . . . . . . . . . . . . . 704--723
Tom Lyche and
Larry L. Schumaker A Multiresolution Tensor Spline Method
for Fitting Functions on the Sphere . . 724--746
William W. Hager Iterative Methods for Nearly Singular
Linear Systems . . . . . . . . . . . . . 747--766
D. Bertaccini A Circulant Preconditioner for the
Systems of LMF-Based ODE Codes . . . . . 767--786
Erik S. Van Vleck Numerical Shadowing Using Componentwise
Bounds and a Sharper Fixed Point Result 787--801
Andreas Eibeck and
Wolfgang Wagner An Efficient Stochastic Algorithm for
Studying Coagulation Dynamics and
Gelation Phenomena . . . . . . . . . . . 802--821
Jorgen L. Nikolajsen An Improved Laguerre Eigensolver for
Unsymmetric Matrices . . . . . . . . . . 822--834
Henk A. van der Vorst and
Qiang Ye Residual Replacement Strategies for
Krylov Subspace Iterative Methods for
the Convergence of True Residuals . . . 835--852
Michael Griebel and
Marc Alexander Schweitzer A Particle-Partition of Unity Method for
the Solution of Elliptic, Parabolic, and
Hyperbolic PDEs . . . . . . . . . . . . 853--890
M. Garbey and
Yu. A. Kuznetsov and
Yu. V. Vassilevski A Parallel Schwarz Method for a
Convection-Diffusion Problem . . . . . . 891--916
Robert Bartnik and
Andrew H. Norton Numerical Methods for the Einstein
Equations in Null Quasi-Spherical
Coordinates . . . . . . . . . . . . . . 917--950
John Guckenheimer and
Brian Meloon Computing Periodic Orbits and their
Bifurcations with Automatic
Differentiation . . . . . . . . . . . . 951--985
Pierre Degond and
Ansgar Jüngel and
Paola Pietra Numerical Discretization of
Energy-Transport Models for
Semiconductors with Nonparabolic Band
Structure . . . . . . . . . . . . . . . 986--1007
M. Ben-Artzi and
J. Falcovitz and
U. Feldman Remarks on High-Resolution Split Schemes
Computation . . . . . . . . . . . . . . 1008--1015
Anne Kvaerno and
Ben Leimkuhler A Time-Reversible, Regularized,
Switching Integrator for the $ {N}$-Body
Problem . . . . . . . . . . . . . . . . 1016--1035
S. Aeberhard and
O. Y. de Vel and
D. H. Coomans New Fast Algorithms for Error Rate-Based
Stepwise Variable Selection in
Discriminant Analysis . . . . . . . . . 1036--1052
A. Averbuch and
E. Braverman and
M. Israeli Parallel Adaptive Solution of a Poisson
Equation with Multiwavelets . . . . . . 1053--1086
Marc Garbey On Some Applications of the
Superposition Principle with Fourier
Basis . . . . . . . . . . . . . . . . . 1087--1116
Fred J. Hickernell and
Hee Sun Hong and
Pierre L'Écuyer and
Christiane Lemieux Extensible Lattice Sequences for
Quasi-Monte Carlo Quadrature . . . . . . 1117--1138
Ann S. Almgren and
John B. Bell and
William Y. Crutchfield Approximate Projection Methods: Part I.
Inviscid Analysis . . . . . . . . . . . 1139--1159
Thomas Strohmer A Levinson--Galerkin Algorithm for
Regularized Trigonometric Approximation 1160--1183
Ambady Suresh Positivity-Preserving Schemes in
Multidimensions . . . . . . . . . . . . 1184--1198
Axel Klawonn and
Olof B. Widlund A Domain Decomposition Method with
Lagrange Multipliers and Inexact Solvers
for Linear Elasticity . . . . . . . . . 1199--1219
Ahmed Khamayseh and
Glen Hansen Quasi-Orthogonal Grids with Impedance
Matching . . . . . . . . . . . . . . . . 1220--1237
Richard M. Beam and
Robert F. Warming Multiresolution Analysis and
Supercompact Multiwavelets . . . . . . . 1238--1268
Robert F. Warming and
Richard M. Beam Discrete Multiresolution Analysis Using
Hermite Interpolation: Biorthogonal
Multiwavelets . . . . . . . . . . . . . 1269--1317
Michele Benzi and
Jane K. Cullum and
Miroslav Tuma Robust Approximate Inverse
Preconditioning for the Conjugate
Gradient Method . . . . . . . . . . . . 1318--1332
Michele Benzi and
John C. Haws and
Miroslav Tuma Preconditioning Highly Indefinite and
Nonsymmetric Matrices . . . . . . . . . 1333--1353
C.-S. Chien and
S.-Y. Gong and
Z. Mei Mode Jumping in the Von Kármán Equations 1354--1385
E. Leriche and
G. Labrosse High-Order Direct Stokes Solvers with or
Without Temporal Splitting: Numerical
Investigations of Their Comparative
Properties . . . . . . . . . . . . . . . 1386--1410
Randolph E. Bank and
Michael Holst A New Paradigm for Parallel Adaptive
Meshing Algorithms . . . . . . . . . . . 1411--1443
Yvan Notay Flexible Conjugate Gradients . . . . . . 1444--1460
Alexander Kurganov and
Doron Levy A Third-Order Semidiscrete Central
Scheme for Conservation Laws and
Convection-Diffusion Equations . . . . . 1461--1488
Christiane Helzel and
Randall J. Leveque and
Gerald Warnecke A Modified Fractional Step Method for
the Accurate Approximation of Detonation
Waves . . . . . . . . . . . . . . . . . 1489--1510
Yee Lo Keung and
Jun Zou An Efficient Linear Solver for Nonlinear
Parameter Identification Problems . . . 1511--1526
Robert Bridson and
Wei-Pai Tang A Structural Diagnosis of Some IC
Orderings . . . . . . . . . . . . . . . 1527--1532
A. Marcello Anile and
Nikolaos Nikiforakis and
Rosa M. Pidatella Assessment of a High Resolution Centered
Scheme for the Solution of
Hydrodynamical Semiconductor Equations 1533--1548
Bernard Bialecki and
Andreas Karageorghis A Legendre Spectral Galerkin Method for
the Biharmonic Dirichlet Problem . . . . 1549--1569
M. Brezina and
A. J. Cleary and
R. D. Falgout and
V. E. Henson and
J. E. Jones and
T. A. Manteuffel and
S. F. McCormick and
J. W. Ruge Algebraic Multigrid Based on Element
Interpolation (AMGe) . . . . . . . . . . 1570--1592
K. Engelborghs and
T. Luzyanina and
K. J. In 't Hout and
D. Roose Collocation Methods for the Computation
of Periodic Solutions of Delay
Differential Equations . . . . . . . . . 1593--1609
Michael Günther and
Yvonne Wagner Index Concepts for Linear Mixed Systems
of Differential-Algebraic and
Hyperbolic-Type Equations . . . . . . . 1610--1629
Aaron L. Fogelson and
James P. Keener Immersed Interface Methods for Neumann
and Related Problems in Two and Three
Dimensions . . . . . . . . . . . . . . . 1630--1654
M. L. Ould-Salihi and
G.-H. Cottet and
M. El Hamraoui Blending Finite-Difference and Vortex
Methods for Incompressible Flow
Computations . . . . . . . . . . . . . . 1655--1674
H. M. Jurgens and
D. W. Zingg Numerical Solution of the Time-Domain
Maxwell Equations Using High-Accuracy
Finite-Difference Methods . . . . . . . 1675--1696
Marnix Van Daele and
Jeff R. Cash Superconvergent Deferred Correction
Methods For First Order Systems of
Nonlinear Two-Point Boundary Value
Problems . . . . . . . . . . . . . . . . 1697--1716
R. K. Beatson and
W. A. Light and
S. Billings Fast Solution of the Radial Basis
Function Interpolation Equations: Domain
Decomposition Methods . . . . . . . . . 1717--1740
Daniel Potts and
Gabriele Steidl Preconditioners for Ill-Conditioned
Toeplitz Systems Constructed from
Positive Kernels . . . . . . . . . . . . 1741--1761
Enrique S. Quintana and
Gregorio Quintana and
Xiaobai Sun and
Robert van de Geijn A Note On Parallel Matrix Inversion . . 1762--1771
Ernesto Aranda and
Pablo Pedregal On the Computation of the Rank-One
Convex Hull of a Function . . . . . . . 1772--1790
John M. Stockie and
John A. Mackenzie and
Robert D. Russell A Moving Mesh Method for One-dimensional
Hyperbolic Conservation Laws . . . . . . 1791--1813
Karl Meerbergen Locking and Restarting Quadratic
Eigenvalue Solvers . . . . . . . . . . . 1814--1839
Michael K. Schneider and
Alan S. Willsky Krylov Subspace Estimation . . . . . . . 1840--1864
Michael D. Marcozzi On the Approximation of Optimal Stopping
Problems with Application to Financial
Mathematics . . . . . . . . . . . . . . 1865--1884
Peter Benner Symplectic Balancing of Hamiltonian
Matrices . . . . . . . . . . . . . . . . 1885--1904
Volker Mehrmann and
David Watkins Structure-Preserving Methods for
Computing Eigenpairs of Large Sparse
Skew-Hamiltonian/Hamiltonian Pencils . . 1905--1925
Rizwan-Uddin Comparison of the Nodal Integral Method
and Nonstandard Finite-Difference
Schemes for the Fisher Equation . . . . 1926--1942
E. Haber and
U. M. Ascher Fast Finite Volume Simulation of $3$D
Electromagnetic Problems with Highly
Discontinuous Coefficients . . . . . . . 1943--1961
Suely Oliveira Exact Prediction of QR Fill-In by
Row-Merge Trees . . . . . . . . . . . . 1962--1973
S. H. Lui On Schwarz Alternating Methods for the
Incompressible Navier--Stokes Equations 1974--1986
L. M. Carvalho and
L. Giraud and
P. Le Tallec Algebraic Two-Level Preconditioners for
the Schur Complement Method . . . . . . 1987--2005
Willi Jäger and
Andro Mikelic and
Nicolas Neuss Asymptotic Analysis of the Laminar
Viscous Flow Over a Porous Bed . . . . . 2006--2028
Weigang Wang Special Bilinear Quadrilateral Elements
For Locally Refined Finite Element Grids 2029--2050
Soumyendu Raha and
Linda R. Petzold Constraint Partitioning for Stability in
Path-Constrained Dynamic Optimization
Problems . . . . . . . . . . . . . . . . 2051--2074
C. C. Fang and
Tony W. H. Sheu Two Element-by-Element Iterative
Solutions for Shallow Water Equations 2075--2092
Zydrunas Gimbutas and
Leslie Greengard and
Michael Minion Coulomb Interactions on Planar
Structures: Inverting the Square Root of
the Laplacian . . . . . . . . . . . . . 2093--2108
Raz Kupferman A Central-Difference Scheme for a Pure
Stream Function Formulation of
Incompressible Viscous Flow . . . . . . 1--18
Eunok Jung and
Charles S. Peskin Two-Dimensional Simulations of Valveless
Pumping Using the Immersed Boundary
Method . . . . . . . . . . . . . . . . . 19--45
B. Costa and
L. Dettori and
D. Gottlieb and
R. Temam Time Marching Multilevel Techniques for
Evolutionary Dissipative Problems . . . 46--65
Daniel Y. Le Roux A New Triangular Finite-Element with
Optimum Constraint Ratio for
Compressible Fluids . . . . . . . . . . 66--80
Leandro Farina Evaluation of Single Layer Potentials
over Curved Surfaces . . . . . . . . . . 81--91
Francesca Rapetti and
Andrea Toselli A FETI Preconditioner for Two
Dimensional Edge Element Approximations
of Maxwell's Equations on Nonmatching
Grids . . . . . . . . . . . . . . . . . 92--108
Jim E. Jones and
Panayot S. Vassilevski \sc AMGe Based on Element Agglomeration 109--133
Patricia D. Hough and
Tamara G. Kolda and
Virginia J. Torczon Asynchronous Parallel Pattern Search for
Nonlinear Optimization . . . . . . . . . 134--156
Piotr Krzyzanowski On Block Preconditioners for
Nonsymmetric Saddle Point Problems . . . 157--169
K. W. Morton and
P. L. Roe Vorticity-Preserving Lax--Wendroff-Type
Schemes for the System Wave Equation . . 170--192
Patrick M. Knupp Algebraic Mesh Quality Metrics . . . . . 193--218
Amin Boumenir Sampling and Eigenvalues of
Non-Self-Adjoint Sturm--Liouville
Problems . . . . . . . . . . . . . . . . 219--229
David L. Chopp Some Improvements of the Fast Marching
Method . . . . . . . . . . . . . . . . . 230--244
Stefano Micheletti On Some Mixed Finite Element Methods
with Numerical Integration . . . . . . . 245--270
Márcia A. Inda and
Rob H. Bisseling and
David K. Maslen On the Efficient Parallel Computation of
Legendre Transforms . . . . . . . . . . 271--303
Hongyi Yu A Local Space--time Adaptive Scheme in
Solving Two-Dimensional Parabolic
Problems Based on Domain Decomposition
Methods . . . . . . . . . . . . . . . . 304--322
Charles Audet and
Pierre Hansen and
Brigitte Jaumard and
Gilles Savard Enumeration of All Extreme Equilibria of
Bimatrix Games . . . . . . . . . . . . . 323--338
Zhilin Li and
Kazufumi Ito Maximum Principle Preserving Schemes for
Interface Problems with Discontinuous
Coefficients . . . . . . . . . . . . . . 339--361
Henk van der Vorst and
Iain Duff and
Howard Elman and
Ronal Freund and
Tim Kelley and
Seymour Parter and
Gerhard Starke and
Nick Trefethen and
Panayot Vassilevski and
Homer Walker and
Olof Widlund 2000 Copper Mountain Conference . . . . vii--vii
Daniel B. Szyld and
Judith A. Vogel FQMR: a Flexible Quasi-Minimal Residual
Method with Inexact Preconditioning . . 363--380
D. A. Knoll and
W. B. VanderHeyden and
V. A. Mousseau and
D. B. Kothe On Preconditioning Newton--Krylov
Methods in Solidifying Flow Applications 381--397
M. Pernice and
M. D. Tocci A Multigrid-Preconditioned
Newton--Krylov Method for the
Incompressible Navier--Stokes Equations 398--418
Gérard Meurant On the Incomplete Cholesky Decomposition
of a Class of Perturbed Matrices . . . . 419--429
E. W. Jenkins and
C. E. Kees and
C. T. Kelley and
C. T. Miller An Aggregation-Based Domain
Decomposition Preconditioner for
Groundwater Flow . . . . . . . . . . . . 430--441
J. Frank and
C. Vuik On the Construction of Deflation-Based
Preconditioners . . . . . . . . . . . . 442--462
Robert Bridson and
Wei-Pai Tang Multiresolution Approximate Inverse
Preconditioners . . . . . . . . . . . . 463--479
David Day and
Michael A. Heroux Solving Complex-Valued Linear Systems
via Equivalent Real Formulations . . . . 480--498
Peter N. Brown and
Carol S. Woodward Preconditioning Strategies for Fully
Implicit Radiation Diffusion with
Material-Energy Transfer . . . . . . . . 499--516
Andrew V. Knyazev Toward the Optimal Preconditioned
Eigensolver: Locally Optimal Block
Preconditioned Conjugate Gradient Method 517--541
Zhaojun Bai and
Roland W. Freund A Symmetric Band Lanczos Process Based
on Coupled Recurrences and Some
Applications . . . . . . . . . . . . . . 542--562
Chao Yang and
Barry W. Peyton and
Donald W. Noid and
Bobby G. Sumpter and
Robert E. Tuzun Large-Scale Normal Coordinate Analysis
for Molecular Structures . . . . . . . . 563--582
Mark Embree and
Lloyd N. Trefethen Generalizing Eigenvalue Theorems to
Pseudospectra Theorems . . . . . . . . . 583--590
Thomas G. Wright and
Lloyd N. Trefethen Large-Scale Computation of Pseudospectra
Using ARPACK and \tt eigs . . . . . . . 591--605
Michiel E. Hochstenbach A Jacobi--Davidson Type SVD Method . . . 606--628
Van Emden Henson and
Panayot S. Vassilevski Element-Free AMGe: General Algorithms
for Computing Interpolation Weights in
AMG . . . . . . . . . . . . . . . . . . 629--650
Roman Wienands and
Cornelis W. Oosterlee On Three-Grid Fourier Analysis for
Multigrid . . . . . . . . . . . . . . . 651--671
Zhiqiang Cai and
Seokchan Kim and
Byeong-Chun Shin Solution Methods for the Poisson
Equation with Corner Singularities:
Numerical Results . . . . . . . . . . . 672--682
Henk van der Vorst 2000 Copper Mountain Conference . . . . vii--vii
Garry Rodrigue and
Daniel White A Vector Finite Element Time-Domain
Method for Solving Maxwell's Equations
on Unstructured Hexahedral Grids . . . . 683--706
Alexander Kurganov and
Sebastian Noelle and
Guergana Petrova Semidiscrete Central-Upwind Schemes for
Hyperbolic Conservation Laws and
Hamilton--Jacobi Equations . . . . . . . 707--740
Frank Ethridge and
Leslie Greengard A New Fast-Multipole Accelerated Poisson
Solver in Two Dimensions . . . . . . . . 741--760
Misha Kilmer and
Eric Miller and
Carey Rappaport QMR-Based Projection Techniques for the
Solution of Non-Hermitian Systems with
Multiple Right-Hand Sides . . . . . . . 761--780
Wolfgang Dahmen and
Siegfried Müller and
Thomas Schlinkmann On an Adaptive Multigrid Solver for
Convection-Dominated Problems . . . . . 781--804
Guillaume Chiavassa and
Rosa Donat Point Value Multiscale Algorithms for
$2$D Compressible Flows . . . . . . . . 805--823
Nejib Smaoui A Model for the Unstable Manifold of the
Bursting Behavior in the $2$D
Navier--Stokes Flow . . . . . . . . . . 824--839
Yongxin Li and
Jianxin Zhou A Minimax Method for Finding Multiple
Critical Points and Its Applications to
Semilinear PDEs . . . . . . . . . . . . 840--865
Tetsuya Misawa A Lie Algebraic Approach to Numerical
Integration of Stochastic Differential
Equations . . . . . . . . . . . . . . . 866--890
N. B. Petrovskaya Modification of a Finite Volume Scheme
for Laplace's Equation . . . . . . . . . 891--909
Arne Barinka and
Titus Barsch and
Philippe Charton and
Albert Cohen and
Stephan Dahlke and
Wolfgang Dahmen and
Karsten Urban Adaptive Wavelet Schemes for Elliptic
Problems --- Implementation and
Numerical Experiments . . . . . . . . . 910--939
Stefania Bellavia and
Benedetta Morini A Globally Convergent Newton--GMRES
Subspace Method for Systems of Nonlinear
Equations . . . . . . . . . . . . . . . 940--960
Jean-Paul Berrut and
Hans D. Mittelmann The Linear Rational Pseudospectral
Method with Iteratively Optimized Poles
for Two-Point Boundary Value Problems 961--975
Patrice Coorevits and
Patrick Hild and
Mohammed Hjiaj A Posteriori Error Control of Finite
Element Approximations for Coulomb's
Frictional Contact . . . . . . . . . . . 976--999
Weizhu Bao and
Shi Jin The Random Projection Method for Stiff
Detonation Capturing . . . . . . . . . . 1000--1026
R. Michael Porter An Interpolating Polynomial Method for
Numerical Conformal Mapping . . . . . . 1027--1041
G. B. Xiao and
K. Yashiro and
N. Guan and
S. Ohkawa Application of an Inverse Problem for
Symmetric Periodic Potentials . . . . . 1042--1049
Ilse C. F. Ipsen A Note on Preconditioning Nonsymmetric
Matrices . . . . . . . . . . . . . . . . 1050--1051
Din-Kow Sun and
Jin-Fa Lee and
Zoltan Cendes Construction of Nearly Orthogonal
Nedelec Bases for Rapid Convergence with
Multilevel Preconditioned Solvers . . . 1053--1076
Stefan Henn and
Kristian Witsch Iterative Multigrid Regularization
Techniques for Image Matching . . . . . 1077--1093
G. Godinaud and
M. N. Le Roux and
A. Y. Le Roux A Lagrange Scheme for a Mathematical
Model of Powder Compression . . . . . . 1094--1112
K. D. Edoh and
J. Lorenz Computation of Lyapunov-Type Numbers for
Invariant Curves of Planar Maps . . . . 1113--1134
Dan Stefanica A Numerical Study of FETI Algorithms for
Mortar Finite Element Methods . . . . . 1135--1160
Dianne P. O'Leary Near-Optimal Parameters for Tikhonov and
Other Regularization Methods . . . . . . 1161--1171
Robert D. Skeel and
David J. Hardy Practical Construction of Modified
Hamiltonians . . . . . . . . . . . . . . 1172--1188
Giancarlo Benettin and
Anna Maria Cherubini and
Francesco Fass\`o A Changing-Chart Symplectic Algorithm
for Rigid Bodies and Other Hamiltonian
Systems on Manifolds . . . . . . . . . . 1189--1203
Ricardo Cortez The Method of Regularized Stokeslets . . 1204--1225
Paul Houston and
Endre Süli hp-Adaptive Discontinuous Galerkin
Finite Element Methods for First-Order
Hyperbolic Problems . . . . . . . . . . 1226--1252
Lorenzo Pareschi and
Giovanni Russo Time Relaxed Monte Carlo Methods for the
Boltzmann Equation . . . . . . . . . . . 1253--1273
Olga V. Ushakova Conditions of Nondegeneracy of
Three-Dimensional Cells. A Formula of a
Volume of Cells . . . . . . . . . . . . 1274--1290
Howard C. Elman and
Oliver G. Ernst and
Dianne P. O'Leary A Multigrid Method Enhanced by Krylov
Subspace Iteration for Discrete
Helmholtz Equations . . . . . . . . . . 1291--1315
Juan José García-Ripoll and
Víctor M. Pérez-García Optimizing Schrödinger Functionals Using
Sobolev Gradients: Applications to
Quantum Mechanics and Nonlinear Optics 1316--1334
R. Ewing and
O. Iliev and
R. Lazarov A Modified Finite Volume Approximation
of Second-Order Elliptic Equations with
Discontinuous Coefficients . . . . . . . 1335--1351
Y. F. Hu and
J. A. Scott A Multilevel Algorithm for Wavefront
Reduction . . . . . . . . . . . . . . . 1352--1375
Nicholas I. M. Gould and
Mary E. Hribar and
Jorge Nocedal On the Solution of Equality Constrained
Quadratic Programming Problems Arising
in Optimization . . . . . . . . . . . . 1376--1395
Oliver Bröker and
Marcus J. Grote and
Carsten Mayer and
Arnold Reusken Robust Parallel Smoothing for Multigrid
Via Sparse Approximate Inverses . . . . 1396--1417
Hong Wang and
Jiangguo Liu Development of CFL-Free, Explicit
Schemes for Multidimensional
Advection-Reaction Equations . . . . . . 1418--1438
Thorsten Grahs and
Andreas Meister and
Thomas Sonar Image Processing for Numerical
Approximations of Conservation Laws:
Nonlinear Anisotropic Artificial
Dissipation . . . . . . . . . . . . . . 1439--1455
Song-He Song and
Mao-Zhang Chen Third Order Accurate Large-Particle
Finite Volume Method on Unstructured
Triangular Meshes . . . . . . . . . . . 1456--1463
Ahmed Khamayseh and
Andrew Kuprat Hybrid Curve Point Distribution
Algorithms . . . . . . . . . . . . . . . 1464--1484
M. J. Baines and
S. J. Leary and
M. E. Hubbard Multidimensional Least Squares
Fluctuation Distribution Schemes with
Adaptive Mesh Movement for Steady
Hyperbolic Equations . . . . . . . . . . 1485--1502
J. Liesen and
M. Rozlozník and
Z. Strakos Least Squares Residuals and Minimal
Residual Methods . . . . . . . . . . . . 1503--1525
Anita T. Layton and
Harold E. Layton A Semi-Lagrangian Semi-Implicit
Numerical Method for Models of the Urine
Concentrating Mechanism . . . . . . . . 1526--1548
J. B. Cherrie and
R. K. Beatson and
G. N. Newsam Fast Evaluation of Radial Basis
Functions: Methods for Generalized
Multiquadrics in $ \mathbb {R}^n $ . . . 1549--1571
Randolph E. Bank and
R. Kent Smith An Algebraic Multilevel Multigraph
Algorithm . . . . . . . . . . . . . . . 1572--1592
Marián Slodicka A Robust and Efficient Linearization
Scheme for Doubly Nonlinear and
Degenerate Parabolic Problems Arising in
Flow in Porous Media . . . . . . . . . . 1593--1614
W. H. Hui and
S. Koudriakov Computation of the Shallow Water
Equations Using the Unified Coordinates 1615--1654
Michael Griebel and
Marc Alexander Schweitzer A Particle-Partition of Unity Method ---
Part II: Efficient Cover Construction
and Reliable Integration . . . . . . . . 1655--1682
Maxim A. Olshanskii and
Arnold Reusken Navier--Stokes Equations in Rotation
Form: a Robust Multigrid Solver for the
Velocity Problem . . . . . . . . . . . . 1683--1706
Nail K. Yamaleev Optimal Two-Dimensional Finite
Difference Grids Providing
Superconvergence . . . . . . . . . . . . 1707--1730
Natasha Flyer and
Paul N. Swarztrauber The Convergence of Spectral and Finite
Difference Methods for Initial-Boundary
Value Problems . . . . . . . . . . . . . 1731--1751
Robert Scheichl Decoupling Three-Dimensional Mixed
Problems Using Divergence-Free Finite
Elements . . . . . . . . . . . . . . . . 1752--1776
Lars Ferm and
Per Lötstedt Adaptive Error Control for Steady State
Solutions of Inviscid Flow . . . . . . . 1777--1798
William W. Hager Minimizing the Profile of a Symmetric
Matrix . . . . . . . . . . . . . . . . . 1799--1816
Randolph E. Bank and
Peter K. Jimack and
Sarfraz A. Nadeem and
Sergei V. Nepomnyaschikh A Weakly Overlapping Domain
Decomposition Preconditioner for the
Finite Element Solution of Elliptic
Partial Differential Equations . . . . . 1818--1842
Marielba Rojas and
Danny C. Sorensen A Trust-Region Approach to the
Regularization of Large-Scale Discrete
Forms of Ill-Posed Problems . . . . . . 1843--1861
John E. Tolsma and
Paul I. Barton Hidden Discontinuities and Parametric
Sensitivity Calculations . . . . . . . . 1862--1875
V. Simoncini and
F. Perotti On the Numerical Solution of $
(\lambda^2 A + \lambda B + C) x = b $
and Application to Structural Dynamics 1876--1898
Christopher C. Paige and
Zdenvek Strakos Residual and Backward Error Bounds in
Minimum Residual Krylov Subspace Methods 1899--1924
S. S. Ravindran Adaptive Reduced-Order Controllers for a
Thermal Flow System Using Proper
Orthogonal Decomposition . . . . . . . . 1925--1943
Susan E. Minkoff Spatial Parallelism of a $3$D Finite
Difference Velocity-Stress Elastic Wave
Propagation Code . . . . . . . . . . . . 1--19
Ronald B. Morgan GMRES with Deflated Restarting . . . . . 20--37
Martin J. Gander and
Frédéric Magoul\`es and
Frédéric Nataf Optimized Schwarz Methods without
Overlap for the Helmholtz Equation . . . 38--60
G. F. Gronchi On the Stationary Points of the Squared
Distance between Two Ellipses with a
Common Focus . . . . . . . . . . . . . . 61--80
Gregory Beylkin and
Robert Cramer A Multiresolution Approach to
Regularization of Singular Operators and
Fast Summation . . . . . . . . . . . . . 81--117
Weiming Cao and
Weizhang Huang and
Robert D. Russell A Moving Mesh Method Based on the
Geometric Conservation Law . . . . . . . 118--142
Jodi L. Mead and
Rosemary A. Renaut Accuracy, Resolution, and Stability
Properties of a Modified Chebyshev
Method . . . . . . . . . . . . . . . . . 143--160
Christian Lubich and
Achim Schädle Fast Convolution for Nonreflecting
Boundary Conditions . . . . . . . . . . 161--182
Xiao-Chuan Cai and
David E. Keyes Nonlinearly Preconditioned Inexact
Newton Algorithms . . . . . . . . . . . 183--200
G. W. Stewart Adjusting the Rayleigh Quotient in
Semiorthogonal Lanczos Methods . . . . . 201--207
James Glimm and
John W. Grove and
Yongmin Zhang Interface Tracking for Axisymmetric
Flows . . . . . . . . . . . . . . . . . 208--236
David Kay and
Daniel Loghin and
Andrew Wathen A Preconditioner for the Steady-State
Navier--Stokes Equations . . . . . . . . 237--256
B. J. C. Baxter and
George Roussos A New Error Estimate of the Fast Gauss
Transform . . . . . . . . . . . . . . . 257--259
Tony F. Chan and
Ke Chen On Two Variants of an Algebraic Wavelet
Preconditioner . . . . . . . . . . . . . 260--283
Greg Henry and
David Watkins and
Jack Dongarra A Parallel Implementation of the
Nonsymmetric QR Algorithm for
Distributed Memory Architectures . . . . 284--311
Gene H. Golub and
Qiang Ye An Inverse Free Preconditioned Krylov
Subspace Method for Symmetric
Generalized Eigenvalue Problems . . . . 312--334
Yu Zhuang and
Xian-He Sun Stabilized Explicit-Implicit Domain
Decomposition Methods for the Numerical
Solution of Parabolic Equations . . . . 335--358
L. G. Casado and
I. GarcÍa and
Ya. D. Sergeyev Interval Algorithms for Finding the
Minimal Root in a Set of Multiextremal
One-Dimensional Nondifferentiable
Functions . . . . . . . . . . . . . . . 359--376
Michael Griebel and
Marc Alexander Schweitzer A Particle-Partition of Unity Method ---
Part III: a Multilevel Solver . . . . . 377--409
Gundolf Haase and
Michael Kuhn and
Stefan Reitzinger Parallel Algebraic Multigrid Methods on
Distributed Memory Computers . . . . . . 410--427
Peter R. Johnston and
Ramesh M. Gulrajani An Analysis of the Zero-Crossing Method
for Choosing Regularization Parameters 428--442
Zhiming Chen and
Shibin Dai On the Efficiency of Adaptive Finite
Element Methods for Elliptic Problems
with Discontinuous Coefficients . . . . 443--462
Loyce Adams and
Zhilin Li The Immersed Interface/Multigrid Methods
for Interface Problems . . . . . . . . . 463--479
Doron Levy and
Gabriella Puppo and
Giovanni Russo A Fourth-Order Central WENO Scheme for
Multidimensional Hyperbolic Systems of
Conservation Laws . . . . . . . . . . . 480--506
A. Tocino and
J. Vigo-Aguiar Weak Second Order Conditions for
Stochastic Runge--Kutta Methods . . . . 507--523
Paul Castillo Performance of Discontinuous Galerkin
Methods for Elliptic PDEs . . . . . . . 524--547
Eid H. Doha and
Waleed M. Abd-Elhameed Efficient Spectral-Galerkin Algorithms
for Direct Solution of Second-Order
Equations Using Ultraspherical
Polynomials . . . . . . . . . . . . . . 548--571
Gabriel N. Gatica and
Norbert Heuer A Preconditioned MINRES Method for the
Coupling of Mixed-FEM and BEM for Some
Nonlinear Problems . . . . . . . . . . . 572--596
Qianshun Chang and
Zhaohui Huang Efficient Algebraic Multigrid Algorithms
and Their Convergence . . . . . . . . . 597--618
Dongbin Xiu and
George Em Karniadakis The Wiener--Askey Polynomial Chaos for
Stochastic Differential Equations . . . 619--644
G. W. Inverarity Fast Computation of Multidimensional
Fourier Integrals . . . . . . . . . . . 645--651
Pierre L'Ecuyer and
Richard Simard and
Stefan Wegenkittl Sparse Serial Tests of Uniformity for
Random Number Generators . . . . . . . . 652--668
Xiaobai Sun and
Enrique S. Quintana-Ortí The Generalized Newton Iteration for the
Matrix Sign Function . . . . . . . . . . 669--683
Seongjai Kim and
Soohyun Kim Multigrid Simulation for High-Frequency
Solutions of the Helmholtz Problem in
Heterogeneous Media . . . . . . . . . . 684--701
D. A. Aruliah and
U. M. Ascher Multigrid Preconditioning for Krylov
Methods for Time-Harmonic Maxwell's
Equations in Three Dimensions . . . . . 702--718
David Colton and
Houssem Haddar and
Peter Monk The Linear Sampling Method for Solving
the Electromagnetic Inverse Scattering
Problem . . . . . . . . . . . . . . . . 719--731
Rémi Abgrall and
Timothy Barth Residual Distribution Schemes for
Conservation Laws via Adaptive
Quadrature . . . . . . . . . . . . . . . 732--769
Thomas Hagstrom and
John Goodrich Accurate Radiation Boundary Conditions
for the Linearized Euler Equations in
Cartesian Domains . . . . . . . . . . . 770--795
Zydrunas Gimbutas and
Vladimir Rokhlin A Generalized Fast Multipole Method for
Nonoscillatory Kernels . . . . . . . . . 796--817
Alfio Borz\`\i and
Kazufumi Ito and
Karl Kunisch Optimal Control Formulation for
Determining Optical Flow . . . . . . . . 818--847
P. M. Burrage and
K. Burrage A Variable Stepsize Implementation for
Stochastic Differential Equations . . . 848--864
Yongxin Li and
Jianxin Zhou Convergence Results of a Local Minimax
Method for Finding Multiple Critical
Points . . . . . . . . . . . . . . . . . 865--885
Yossi Gil and
Zvika Gutterman and
Shmuel Onn and
Irad Yavneh Automated Transformations for PDE
Systems with Application to Multigrid
Solvers . . . . . . . . . . . . . . . . 886--904
Wade S. Martinson and
Paul I. Barton Index and Characteristic Analysis of
Linear PDAE Systems . . . . . . . . . . 905--923
C. W. Oosterlee and
R. Wienands A Genetic Search for Optimal Multigrid
Components Within a Fourier Analysis
Setting . . . . . . . . . . . . . . . . 924--944
Paul N. Swarztrauber On Computing the Points and Weights for
Gauss--Legendre Quadrature . . . . . . . 945--954
Derek S. Bale and
Randall J. LeVeque and
Sorin Mitran and
James A. Rossmanith A Wave Propagation Method for
Conservation Laws and Balance Laws with
Spatially Varying Flux Functions . . . . 955--978
Ralf Hartmann and
Paul Houston Adaptive Discontinuous Galerkin Finite
Element Methods for Nonlinear Hyperbolic
Conservation Laws . . . . . . . . . . . 979--1004
Yong-Tao Zhang and
Chi-Wang Shu High-Order WENO Schemes for
Hamilton--Jacobi Equations on Triangular
Meshes . . . . . . . . . . . . . . . . . 1005--1030
Jos L. M. van Dorsselaer Several Concepts to Investigate Strongly
Nonnormal Eigenvalue Problems . . . . . 1031--1053
Zhiping Li Numerical Justification of Branched
Laminated Microstructure with Surface
Energy . . . . . . . . . . . . . . . . . 1054--1075
Yang Cao and
Shengtai Li and
Linda Petzold and
Radu Serban Adjoint Sensitivity Analysis for
Differential-Algebraic Equations: The
Adjoint DAE System and Its Numerical
Solution . . . . . . . . . . . . . . . . 1076--1089
C. W. Gear and
Ioannis G. Kevrekidis Projective Methods for Stiff
Differential Equations: Problems with
Gaps in Their Eigenvalue Spectrum . . . 1091--1106
Yousef Saad Finding Exact and Approximate Block
Structures for ILU Preconditioning . . . 1107--1123
Michael D. Marcozzi On the Valuation of Asian Options by
Variational Methods . . . . . . . . . . 1124--1140
Kai Wang and
Jun Zhang MSP: a Class of Parallel Multistep
Successive Sparse Approximate Inverse
Preconditioning Strategies . . . . . . . 1141--1156
Knut-Andreas Lie and
Sebastian Noelle On the Artificial Compression Method for
Second-Order Nonoscillatory Central
Difference Schemes for Systems of
Conservation Laws . . . . . . . . . . . 1157--1174
R. K. Sahoo and
V. Prasad A Composite Adaptive Grid Generation and
Migration Technique for Materials
Processing Problems . . . . . . . . . . 1175--1202
Beong In Yun and
Philsu Kim A New Sigmoidal Transformation for
Weakly Singular Integrals in the
Boundary Element Method . . . . . . . . 1203--1217
Ron Kimmel and
Irad Yavneh An Algebraic Multigrid Approach for
Image Analysis . . . . . . . . . . . . . 1218--1231
Jennifer L. Mueller and
Samuli Siltanen Direct Reconstructions of Conductivities
from Boundary Measurements . . . . . . . 1232--1266
Tony Shardlow Splitting for Dissipative Particle
Dynamics . . . . . . . . . . . . . . . . 1267--1282
Tsung-Min Hwang and
Wen-Wei Lin and
Volker Mehrmann Numerical Solution of Quadratic
Eigenvalue Problems with
Structure-Preserving Methods . . . . . . 1283--1302
F. Bouillault and
A. Buffa and
Y. Maday and
F. Rapetti The Mortar Edge Element Method in Three
Dimensions: Application to
Magnetostatics . . . . . . . . . . . . . 1303--1327
M. Picasso An Anisotropic Error Indicator Based on
Zienkiewicz--Zhu Error Estimator:
Application to Elliptic and Parabolic
Problems . . . . . . . . . . . . . . . . 1328--1355
Jo Simoens and
Stefan Vandewalle A Stabilized Lifting Construction of
Wavelets on Irregular Meshes on the
Interval . . . . . . . . . . . . . . . . 1356--1378
Bruno Lombard and
Joël Piraux How to Incorporate the Spring-Mass
Conditions in Finite-Difference Schemes 1379--1407
Raymond H. Chan and
Tony F. Chan and
Lixin Shen and
Zuowei Shen Wavelet Algorithms for High-Resolution
Image Reconstruction . . . . . . . . . . 1408--1432
Anita T. Layton A Semi-Lagrangian Collocation Method for
the Shallow Water Equations on the
Sphere . . . . . . . . . . . . . . . . . 1433--1449
G. J. Rodin and
O. Steinbach Boundary Element Preconditioners for
Problems Defined on Slender Domains . . 1450--1464
Richard Baltensperger and
Manfred R. Trummer Spectral Differencing with a Twist . . . 1465--1487
Qiang Du and
Max D. Gunzburger and
Lili Ju Constrained Centroidal Voronoi
Tessellations for Surfaces . . . . . . . 1488--1506
Michael K. Ng and
Hai-Wei Sun and
Xiao-Qing Jin Recursive-Based PCG Methods for Toeplitz
Systems with Nonnegative Generating
Functions . . . . . . . . . . . . . . . 1507--1529
Julio E. Castrillón-Candás and
Kevin Amaratunga Spatially Adapted Multiwavelets and
Sparse Representation of Integral
Equations on General Geometries . . . . 1530--1566
Erkki Heikkola and
Tuomo Rossi and
Jari Toivanen A Parallel Fictitious Domain Method for
the Three-Dimensional Helmholtz Equation 1567--1588
Ingo Matheis and
Wolfgang Wagner Convergence of the Stochastic Weighted
Particle Method for the Boltzmann
Equation . . . . . . . . . . . . . . . . 1589--1609
Johannes Tausch and
Jacob White Multiscale Bases for the Sparse
Representation of Boundary Integral
Operators on Complex Geometry . . . . . 1610--1629
Senka Vukovic and
Luka Sopta Upwind Schemes with Exact Conservation
Property for One-Dimensional Open
Channel Flow Equations . . . . . . . . . 1630--1649
J. Baglama and
D. Calvetti and
L. Reichel IRBL: An Implicitly Restarted
Block-Lanczos Method for Large-Scale
Hermitian Eigenproblems . . . . . . . . 1650--1677
C. R. Pinnegar and
L. Mansinha The Bi-Gaussian S-Transform . . . . . . 1678--1692
James Lu and
David L. Darmofal A Quasi-Minimal Residual Method for
Simultaneous Primal-Dual Solutions and
Superconvergent Functional Estimates . . 1693--1709
Xiao-Wen Chang and
Christopher C. Paige An Orthogonal Transformation Algorithm
for GPS Positioning . . . . . . . . . . 1710--1732
Bernard Bialecki and
Graeme Fairweather and
Andreas Karageorghis Matrix Decomposition Algorithms for
Modified Spline Collocation for
Helmholtz Problems . . . . . . . . . . . 1733--1753
Sylvain Durand and
Jacques Froment Reconstruction of Wavelet Coefficients
Using Total Variation Minimization . . . 1754--1767
Christiane Lemieux and
Pierre L'Ecuyer Randomized Polynomial Lattice Rules for
Multivariate Integration and Simulation 1768--1789
Nejib Smaoui and
Salem Al-Yakoob Analyzing the Dynamics of Cellular
Flames Using Karhunen--Lo\`eve
Decomposition and Autoassociative Neural
Networks . . . . . . . . . . . . . . . . 1790--1808
Kalvis M. Jansons and
G. D. Lythe Exponential Timestepping with Boundary
Test for Stochastic Differential
Equations . . . . . . . . . . . . . . . 1809--1822
C. Chauvi\`ere and
A. Lozinski An Efficient Technique for Simulations
of Viscoelastic Flows, Derived from the
Brownian Configuration Field Method . . 1823--1837
Gary Froyland and
Michael Dellnitz Detecting and Locating Near-Optimal
Almost-Invariant Sets and Cycles . . . . 1839--1863
Prabhu Ramachandran and
S. C. Rajan and
M. Ramakrishna A Fast, Two-Dimensional Panel Method . . 1864--1878
Anders Logg Multi-Adaptive Galerkin Methods for ODEs
I . . . . . . . . . . . . . . . . . . . 1879--1902
Yonghong Zeng and
Zhiping Lin and
Guoan Bi and
Lizhi Cheng Fast Computation of MD-DCT-IV/MD-DST-IV
by MD-DWT or MD-DCT-II . . . . . . . . . 1903--1918
Faisal Fairag Numerical Computations of Viscous,
Incompressible Flow Problems Using a
Two-Level Finite Element Method . . . . 1919--1929
Takashi Sasakawa and
Takashi Tsuchiya Optimal Magnetic Shield Design with
Second-Order Cone Programming . . . . . 1930--1950
Qun Ma and
Jesús A. Izaguirre and
Robert D. Skeel Verlet--I/R--RESPA/Impulse is Limited by
Nonlinear Instabilities . . . . . . . . 1951--1973
Xiuling Ma and
Dong Mao and
Aihui Zhou Extrapolation for Finite Volume
Approximations . . . . . . . . . . . . . 1974--1993
Kokou Dossou and
Roger Pierre A Newton--GMRES Approach for the
Analysis of the Postbuckling Behavior of
the Solutions of the von Kármán Equations 1994--2012
Daniel Potts and
Gabriele Steidl Fast Summation at Nonequispaced Knots by
NFFT . . . . . . . . . . . . . . . . . . 2013--2037
Jens Georg Schmidt An \em A Posteriori Error Estimator for
the FEM in Nonlinear Elastostatics . . . 2038--2057
Stefan Holst and
Ansgar Jungel and
Paolo Pietra A Mixed Finite-Element Discretization of
the Energy-Transport Model for
Semiconductors . . . . . . . . . . . . . 2058--2075
Gene H. Golub and
Chen Greif On Solving Block-Structured Indefinite
Linear Systems . . . . . . . . . . . . . 2076--2092
J. S. Warsa and
T. A. Wareing and
J. E. Morel Solution of the Discontinuous $ P_1 $
Equations in Two-Dimensional Cartesian
Geometry with Two-Level Preconditioning 2093--2124
Dionissios T. Hristopulos Spartan Gibbs Random Field Models for
Geostatistical Applications . . . . . . 2125--2162
Christian Wieners and
Barbara I. Wohlmuth Duality Estimates and Multigrid Analysis
for Saddle Point Problems Arising from
Mortar Discretizations . . . . . . . . . 2163--2184
Jianxian Qiu and
Chi-Wang Shu Finite Difference WENO Schemes with
Lax--Wendroff-Type Time Discretizations 2185--2198
T. Chartier and
R. D. Falgout and
V. E. Henson and
J. Jones and
T. Manteuffel and
S. McCormick and
J. Ruge and
P. S. Vassilevski Spectral AMGe ($ \rho $AMGe) . . . . . . 1--26
Weizhu Bao and
Shi Jin and
Peter A. Markowich Numerical Study of Time-Splitting
Spectral Discretizations of Nonlinear
Schrödinger Equations in the
Semiclassical Regimes . . . . . . . . . 27--64
Wilfried N. Gansterer and
Robert C. Ward and
Richard P. Muller and
William A. Goddard III Computing Approximate Eigenpairs of
Symmetric Block Tridiagonal Matrices . . 65--85
Matthias Bollhöfer A Robust and Efficient ILU that
Incorporates the Growth of the Inverse
Triangular Factors . . . . . . . . . . . 86--103
Volker Naulin and
Anders H. Nielsen Accuracy of Spectral and Finite
Difference Schemes in $2$D Advection
Problems . . . . . . . . . . . . . . . . 104--126
Shan Zhao and
G. W. Wei Comparison of the Discrete Singular
Convolution and Three Other Numerical
Schemes for Solving Fisher's Equation 127--147
Adam W. Bojanczyk and
Adam Lutoborski The Procrustes Problem for Orthogonal
Kronecker Products . . . . . . . . . . . 148--163
C. V. Pao and
Xin Lu Block Monotone Iterations for Numerical
Solutions of Fourth-Order Nonlinear
Elliptic Boundary Value Problems . . . . 164--185
G. D. Akrivis and
V. A. Dougalis and
O. A. Karakashian and
W. R. Mckinney Numerical Approximation of Blow-Up of
Radially Symmetric Solutions of the
Nonlinear Schrödinger Equation . . . . . 186--212
K. D. Edoh and
J. Lorenz Numerical Approximation of Rough
Invariant Curves of Planar Maps . . . . 213--223
Zhilin Li and
Wei-Cheng Wang and
I-Liang Chern and
Ming-Chih Lai New Formulations for Interface Problems
in Polar Coordinates . . . . . . . . . . 224--245
Clark R. Dohrmann A Preconditioner for Substructuring
Based on Constrained Energy Minimization 246--258
Carsten Carstensen and
Dirk Praetorius A Posteriori Error Control in Adaptive
Qualocation Boundary Element Analysis
for a Logarithmic-Kernel Integral
Equation of the First Kind . . . . . . . 259--283
Beong In Yun An Extended Sigmoidal Transformation
Technique for Evaluating Weakly Singular
Integrals without Splitting the
Integration Interval . . . . . . . . . . 284--301
Alfio Borz\`\i and
Giuseppe Borz\`\i An Algebraic Multigrid Method for a
Class of Elliptic Differential Systems 302--323
Barbara I. Wohlmuth and
Rolf H. Krause Monotone Multigrid Methods on
Nonmatching Grids for Nonlinear
Multibody Contact Problems . . . . . . . 324--347
Miguel A. Dumett and
James P. Keener An Immersed Interface Method for Solving
Anisotropic Elliptic Boundary Value
Problems in Three Dimensions . . . . . . 348--367
Kab Seok Kang $ P_1 $ Nonconforming Finite Element
Multigrid Method for Radiation Transport 369--384
Michael Griebel and
Daniel Oeltz and
Marc Alexander Schweitzer An Algebraic Multigrid Method for Linear
Elasticity . . . . . . . . . . . . . . . 385--407
Anne Greenbaum Card Shuffling and the Polynomial
Numerical Hull of Degree $k$ . . . . . . 408--416
Luc Giraud and
Julien Langou A Robust Criterion for the Modified
Gram--Schmidt Algorithm with Selective
Reorthogonalization . . . . . . . . . . 417--441
Stephen J. Thomas and
John M. Dennis and
Henry M. Tufo and
Paul F. Fischer A Schwarz Preconditioner for the
Cubed-Sphere . . . . . . . . . . . . . . 442--453
Valeria Simoncini and
Daniel B. Szyld Theory of Inexact Krylov Subspace
Methods and Applications to Scientific
Computing . . . . . . . . . . . . . . . 454--477
Burak Aksoylu and
Stephen Bond and
Michael Holst An Odyssey into Local Refinement and
Multilevel Preconditioning III:
Implementation and Numerical Experiments 478--498
Michele Benzi and
Miroslav Tuma A Robust Preconditioner with Low Memory
Requirements for Large Sparse Least
Squares Problems . . . . . . . . . . . . 499--512
P. N. Brown and
B. Lee and
T. A. Manteuffel A Moment-Parity Multigrid Preconditioner
for the First-Order System Least-Squares
Formulation of the Boltzmann Transport
Equation . . . . . . . . . . . . . . . . 513--533
D. Valougeorgis and
S. Naris Acceleration Schemes of the Discrete
Velocity Method: Gaseous Flows in
Rectangular Microchannels . . . . . . . 534--552
Todd S. Coffey and
C. T. Kelley and
David E. Keyes Pseudotransient Continuation and
Differential-Algebraic Equations . . . . 553--569
Peter N. Brown and
Panayot S. Vassilevski and
Carol S. Woodward On Mesh-Independent Convergence of an
Inexact Newton--Multigrid Algorithm . . 570--590
Michiel E. Hochstenbach and
Henk A. van der Vorst Alternatives to the Rayleigh Quotient
for the Quadratic Eigenvalue Problem . . 591--603
Brett W. Bader and
Robert B. Schnabel Curvilinear Linesearch for Tensor
Methods . . . . . . . . . . . . . . . . 604--622
Pavel B. Bochev and
Christopher J. Garasi and
Jonathan J. Hu and
Allen C. Robinson and
Raymond S. Tuminaro An Improved Algebraic Multigrid Method
for Solving Maxwell's Equations . . . . 623--642
Bin Han and
Michael L. Overton and
Thomas P.-Y. Yu Design of Hermite Subdivision Schemes
Aided by Spectral Radius Optimization 643--656
Boris Diskin and
James L. Thomas New Factorizable Discretizations for the
Euler Equations . . . . . . . . . . . . 657--681
Barry Lee and
Stephen F. McCormick and
Bobby Philip and
Daniel J. Quinlan Asynchronous Fast Adaptive
Composite-Grid Methods: Numerical
Results . . . . . . . . . . . . . . . . 682--700
R. Bru and
J. Cerdán and
J. Marín and
J. Mas Preconditioning Sparse Nonsymmetric
Linear Systems with the
Sherman--Morrison Formula . . . . . . . 701--715
Na Li and
Yousef Saad and
Edmond Chow Crout Versions of $ I L U $ for General
Sparse Matrices . . . . . . . . . . . . 716--728
Leigh Little and
Yousef Saad and
Laurent Smoch Block $ L U $ Preconditioners for
Symmetric and Nonsymmetric Saddle Point
Problems . . . . . . . . . . . . . . . . 729--748
B. Carpentieri and
I. S. Duff and
L. Giraud A Class of Spectral Two-Level
Preconditioners . . . . . . . . . . . . 749--765
Henk van der Vorst and
Iain Duff and
Howard Elman and
Ronal Freund and
Tim Kelley and
Seymour Parter and
Gerhard Starke and
Nick Trefethen and
Panayot Vassilevski and
Homer Walker and
Olof Widlund 2002 Copper Mountain Conference . . . . vii--vii
Steve Bryson and
Doron Levy Central Schemes for Multidimensional
Hamilton--Jacobi Equations . . . . . . . 767--791
Carsten Carstensen and
R. Klose A Posteriori Finite Element Error
Control for the $P$-Laplace Problem . . 792--814
Guido Kanschat Preconditioning Methods for Local
Discontinuous Galerkin Discretizations 815--831
Long Lee and
Randall J. LeVeque An Immersed Interface Method for
Incompressible Navier--Stokes Equations 832--856
W. L. Wan and
Tony F. Chan A Phase Error Analysis of Multigrid
Methods for Hyperbolic Equations . . . . 857--880
Tony F. Chan and
Xue-Cheng Tai Identification of Discontinuous
Coefficients in Elliptic Problems Using
Total Variation Regularization . . . . . 881--904
S. Lacroix and
Yu. Vassilevski and
J. Wheeler and
M. Wheeler Iterative Solution Methods for Modeling
Multiphase Flow in Porous Media Fully
Implicitly . . . . . . . . . . . . . . . 905--926
Ping Lin and
R. E. O'Malley, Jr. The Numerical Solution of a Challenging
Class of Turning Point Problems . . . . 927--941
Luise Blank Preconditioning via a Schur Complement
Method: An Application in State
Estimation . . . . . . . . . . . . . . . 942--960
Judith M. Ford and
Eugene E. Tyrtyshnikov Combining Kronecker Product
Approximation with Discrete Wavelet
Transforms to Solve Dense,
Function-Related Linear Systems . . . . 961--981
Qianshun Chang and
I-Liang Chern Acceleration Methods for Total
Variation-Based Image Denoising . . . . 982--994
Richard Liska and
Burton Wendroff Comparison of Several Difference Schemes
on $1$D and $2$D Test Problems for the
Euler Equations . . . . . . . . . . . . 995--1017
P. W. Hemker and
W. Hoffmann and
M. H. van Raalte Two-Level Fourier Analysis of a
Multigrid Approach for Discontinuous
Galerkin Discretization . . . . . . . . 1018--1041
Lehel Banjai and
L. N. Trefethen A Multipole Method for
Schwarz--Christoffel Mapping of Polygons
with Thousands of Sides . . . . . . . . 1042--1065
M. Herty and
A. Klar Modeling, Simulation, and Optimization
of Traffic Flow Networks . . . . . . . . 1066--1087
Thomas Hagstrom and
S. I. Hariharan and
David Thompson High-Order Radiation Boundary Conditions
for the Convective Wave Equation in
Exterior Domains . . . . . . . . . . . . 1088--1101
Gang Bao and
Jun Liu Numerical Solution of Inverse Scattering
Problems with Multi-experimental Limited
Aperture Data . . . . . . . . . . . . . 1102--1117
Anders Logg Multi-Adaptive Galerkin Methods for ODEs
II: implementation and Applications . . 1119--1141
Kenneth Eriksson and
Claes Johnson and
Anders Logg Explicit Time-Stepping for Stiff ODEs 1142--1157
Maria Cristina Recchioni and
Francesco Zirilli The Use of Wavelets in the Operator
Expansion Method for Time-Dependent
Acoustic Obstacle Scattering . . . . . . 1158--1186
Z. Jackiewicz Determination of Optimal Parameters for
the Chebyshev--Gegenbauer Reconstruction
Method . . . . . . . . . . . . . . . . . 1187--1198
Achiya Dax A Modified Iterative Refinement Scheme 1199--1213
James Demmel and
Yozo Hida Accurate and Efficient Floating Point
Summation . . . . . . . . . . . . . . . 1214--1248
Gerard L. G. Sleijpen and
Fred W. Wubs Exploiting Multilevel Preconditioning
Techniques in Eigenvalue Computations 1249--1272
H. Cheng and
P. Lin and
Q. Sheng and
R. C. E. Tan Solving Degenerate Reaction-Diffusion
Equations via Variable Step
Peaceman--Rachford Splitting . . . . . . 1273--1292
Shinichiro Ohnuki and
Weng Cho Chew Truncation Error Analysis of Multipole
Expansion . . . . . . . . . . . . . . . 1293--1306
S. Serra-Capizzano A Note on Antireflective Boundary
Conditions and Fast Deblurring Models 1307--1325
Johnathan M. Bardsley and
Curtis R. Vogel A Nonnegatively Constrained Convex
Programming Method for Image
Reconstruction . . . . . . . . . . . . . 1326--1343
Nail A. Gumerov and
Ramani Duraiswami Recursions for the Computation of
Multipole Translation and Rotation
Coefficients for the $3$-D Helmholtz
Equation . . . . . . . . . . . . . . . . 1344--1381
Gabriella Puppo Numerical Entropy Production for Central
Schemes . . . . . . . . . . . . . . . . 1382--1415
J. Rasch and
A. C. H. Yu Efficient Storage Scheme for
Precalculated Wigner $3$-$j$, $6$-$j$
and Gaunt Coefficients . . . . . . . . . 1416--1428
Stefan Henn and
Kristian Witsch Multimodal Image Registration Using a
Variational Approach . . . . . . . . . . 1429--1447
G. A. Watson Robust Solutions to a General Class of
Approximation Problems . . . . . . . . . 1448--1460
Th. Hauser and
T. I. Mattox and
R. P. LeBeau and
H. G. Dietz and
P. G. Huang Code Optimizations for Complex
Microprocessors Applied to CFD Software 1461--1477
Wei-Cheng Wang A Jump Condition Capturing Finite
Difference Scheme for Elliptic Interface
Problems . . . . . . . . . . . . . . . . 1479--1496
Frédéric Magoul\`es and
François-Xavier Roux and
Stéphanie Salmon Optimal Discrete Transmission Conditions
for a Nonoverlapping Domain
Decomposition Method for the Helmholtz
Equation . . . . . . . . . . . . . . . . 1497--1515
Loyce Adams and
Timothy P. Chartier New Geometric Immersed Interface
Multigrid Solvers . . . . . . . . . . . 1516--1533
L. J. Gray and
J. M. Glaeser and
T. Kaplan Direct Evaluation of Hypersingular
Galerkin Surface Integrals . . . . . . . 1534--1556
V. S. Borisov and
S. Sorek On Monotonicity of Difference Schemes
for Computational Physics . . . . . . . 1557--1584
Teri Barth and
Pavel Bochev and
Max Gunzburger and
John Shadid A Taxonomy of Consistently Stabilized
Finite Element Methods for the Stokes
Problem . . . . . . . . . . . . . . . . 1585--1607
Chengming Huang and
Stefan Vandewalle An Analysis of Delay-Dependent Stability
for Ordinary and Partial Differential
Equations with Fixed and Distributed
Delays . . . . . . . . . . . . . . . . . 1608--1632
Thomas Huckle and
Stefano Serra-Capizzano and
Cristina Tablino-Possio Preconditioning Strategies for Hermitian
Indefinite Toeplitz Linear Systems . . . 1633--1654
Peter Arbenz and
Michiel E. Hochstenbach A Jacobi--Davidson Method for Solving
Complex Symmetric Eigenvalue Problems 1655--1673
Weizhu Bao and
Qiang Du Computing the Ground State Solution of
Bose--Einstein Condensates by a
Normalized Gradient Flow . . . . . . . . 1674--1697
Stefan Holst and
Ansgar Jungel and
Paola Pietra An Adaptive Mixed Scheme for
Energy-Transport Simulations of
Field-Effect Transistors . . . . . . . . 1698--1716
T. Huttunen and
P. Monk and
F. Collino and
J. P. Kaipio The Ultra-Weak Variational Formulation
for Elastic Wave Problems . . . . . . . 1717--1742
Zachary Battles and
Lloyd N. Trefethen An Extension of MATLAB to Continuous
Functions and Operators . . . . . . . . 1743--1770
Ernesto Kofman Discrete Event Simulation of Hybrid
Systems . . . . . . . . . . . . . . . . 1771--1797
Amit Bhave and
Markus Kraft Partially Stirred Reactor Model:
Analytical Solutions and Numerical
Convergence Study of a PDF/Monte Carlo
Method . . . . . . . . . . . . . . . . . 1798--1823
J. G. Verwer and
B. P. Sommeijer An Implicit-Explicit
Runge--Kutta--Chebyshev Scheme for
Diffusion-Reaction Equations . . . . . . 1824--1835
Bora Uçar and
Cevdet Aykanat Encapsulating Multiple
Communication-Cost Metrics in
Partitioning Sparse Rectangular Matrices
for Parallel Matrix-Vector Multiplies 1837--1859
Cevdet Aykanat and
Ali Pinar and
Ümit V. Çatalyürek Permuting Sparse Rectangular Matrices
into Block-Diagonal Form . . . . . . . . 1860--1879
S. P. Hirshman and
L. A. Berry and
S. Jesse Dynamic Database Generation for
Efficient Calculation of Stellarator
Plasma Equilibria . . . . . . . . . . . 1880--1895
M. Brezina and
R. Falgout and
S. MacLachlan and
T. Manteuffel and
S. McCormick and
J. Ruge Adaptive Smoothed Aggregation ($ \alpha
$SA) . . . . . . . . . . . . . . . . . . 1896--1920
T. L. van Noorden and
S. M. Verduyn Lunel and
A. Bliek A Broyden Rank $ p + 1 $ Update
Continuation Method with Subspace
Iteration . . . . . . . . . . . . . . . 1921--1940
Kun Xu Discontinuous Galerkin BGK Method for
Viscous Flow Equations: One-Dimensional
Systems . . . . . . . . . . . . . . . . 1941--1963
Gang Zou and
Robert D. Skeel Robust Variance Reduction for Random
Walk Methods . . . . . . . . . . . . . . 1964--1981
Justin W. L. Wan and
Xu-Dong Liu A Boundary Condition--Capturing
Multigrid Approach to Irregular Boundary
Problems . . . . . . . . . . . . . . . . 1982--2003
Francis Filbet and
Philippe Laurençot Numerical Simulation of the Smoluchowski
Coagulation Equation . . . . . . . . . . 2004--2028
D. Loghin and
A. J. Wathen Analysis of Preconditioners for
Saddle-Point Problems . . . . . . . . . 2029--2049
Emmanuel Audusse and
François Bouchut and
Marie-Odile Bristeau and
Rupert Klein and
Beno\^\it Perthame A Fast and Stable Well-Balanced Scheme
with Hydrostatic Reconstruction for
Shallow Water Flows . . . . . . . . . . 2050--2065
Sookkyung Lim and
Charles S. Peskin Simulations of the Whirling Instability
by the Immersed Boundary Method . . . . 2066--2083
Jeffrey K. Bennighof and
R. B. Lehoucq An Automated Multilevel Substructuring
Method for Eigenspace Computation in
Linear Elastodynamics . . . . . . . . . 2084--2106
Nejib Smaoui Linear versus Nonlinear Dimensionality
Reduction of High-Dimensional Dynamical
Systems . . . . . . . . . . . . . . . . 2107--2125
Per Lötstedt and
Martin Nilsson A Minimal Residual Interpolation Method
for Linear Equations with Multiple
Right-Hand Sides . . . . . . . . . . . . 2126--2144
Tobias Jahnke Long-Time-Step Integrators for
Almost-Adiabatic Quantum Dynamics . . . 2145--2164
K. F. Gurski An HLLC-Type Approximate Riemann Solver
for Ideal Magnetohydrodynamics . . . . . 2165--2187
M. Lukácová-Medvidová and
K. W. Morton and
G. Warnecke Finite Volume Evolution Galerkin Methods
for Hyperbolic Systems . . . . . . . . . 1--30
H. De Sterck and
Thomas A. Manteuffel and
Stephen F. McCormick and
Luke Olson Least-Squares Finite Element Methods and
Algebraic Multigrid Solvers for Linear
Hyperbolic PDEs . . . . . . . . . . . . 31--54
Stefano Serra-Capizzano and
Cristina Tablino-Possio Multigrid Methods for Multilevel
Circulant Matrices . . . . . . . . . . . 55--85
Shuang Zhang and
Jian Chen and
Norman J. Zabusky Turbulent Decay and Mixing of
Accelerated Inhomogeneous Flows Via a
Feature Based Analysis . . . . . . . . . 86--104
Randolph E. Bank and
Shaoying Lu A Domain Decomposition Solver for a
Parallel Adaptive Meshing Paradigm . . . 105--127
Jeanne A. Atwell and
Belinda B. King Reduced Order Controllers for Spatially
Distributed Systems via Proper
Orthogonal Decomposition . . . . . . . . 128--151
Rommel Bustinza and
Gabriel N. Gatica A Local Discontinuous Galerkin Method
for Nonlinear Diffusion Problems with
Mixed Boundary Conditions . . . . . . . 152--177
Johan Hoffman On Duality-Based \em A Posteriori Error
Estimation in Various Norms and Linear
Functionals for Large Eddy Simulation 178--195
Matthias Kunik and
Shamsul Qamar and
Gerald Warnecke A BGK-Type Flux-Vector Splitting Scheme
for the Ultrarelativistic Euler
Equations . . . . . . . . . . . . . . . 196--223
Daniela Calvetti and
Lothar Reichel Tikhonov Regularization with a Solution
Constraint . . . . . . . . . . . . . . . 224--239
Yvon Maday and
Einar M. Ronquist The Reduced Basis Element Method:
Application to a Thermal Fin Problem . . 240--258
Bertil Gustafsson and
Eva Mossberg Time Compact High Order Difference
Methods for Wave Propagation . . . . . . 259--271
Bertil Gustafsson and
Per Wahlund Time Compact Difference Methods for Wave
Propagation in Discontinuous Media . . . 272--293
L. J. Gray and
A.-V. Phan and
T. Kaplan Boundary Integral Evaluation of Surface
Derivatives . . . . . . . . . . . . . . 294--312
Zhenyue Zhang and
Hongyuan Zha Principal Manifolds and Nonlinear
Dimensionality Reduction via Tangent
Space Alignment . . . . . . . . . . . . 313--338
Michael Mascagni and
Nikolai A. Simonov Monte Carlo Methods for Calculating Some
Physical Properties of Large Molecules 339--357
Yang Cao and
Linda Petzold A Posteriori Error Estimation and Global
Error Control for Ordinary Differential
Equations by the Adjoint Method . . . . 359--374
Olivier Le Ma\^\itre and
M. T. Reagan and
B. Debusschere and
H. N. Najm and
R. G. Ghanem and
O. M. Knio Natural Convection in a Closed Cavity
under Stochastic Non-Boussinesq
Conditions . . . . . . . . . . . . . . . 375--394
Christian Soize and
Roger Ghanem Physical Systems with Random
Uncertainties: Chaos Representations
with Arbitrary Probability Measure . . . 395--410
Rafail V. Abramov and
Andrew J. Majda Quantifying Uncertainty for Non-Gaussian
Ensembles in Complex Systems . . . . . . 411--447
Dave Higdon and
Marc Kennedy and
James C. Cavendish and
John A. Cafeo and
Robert D. Ryne Combining Field Data and Computer
Simulations for Calibration and
Prediction . . . . . . . . . . . . . . . 448--466
Michael Goldstein and
Jonathan Rougier Probabilistic Formulations for
Transferring Inferences from
Mathematical Models to Physical Systems 467--487
V. Buyarov and
J. S. Dehesa and
A. Martínez-Finkelshtein and
J. Sánchez-Lara Computation of the Entropy of
Polynomials Orthogonal on an Interval 488--509
Christian H. Bischof and
H. Martin Bücker and
Arno Rasch Sensitivity Analysis of Turbulence
Models Using Automatic Differentiation 510--522
Oscar Chinellato and
Erwin Achermann and
Oliver Bröker Including Covariances in Calibration to
Obtain Better Measurement Uncertainty
Estimates . . . . . . . . . . . . . . . 523--536
Sam Subbey and
Mike Christie and
Malcolm Sambridge The Impact of Uncertain Centrifuge
Capillary Pressure on Reservoir
Simulation . . . . . . . . . . . . . . . 537--557
Zhiming Lu and
Dongxiao Zhang A Comparative Study on Uncertainty
Quantification for Flow in Randomly
Heterogeneous Media Using Monte Carlo
Simulations and Conventional and
KL-Based Moment-Equation Approaches . . 558--577
Xiaoliang Wan and
Dongbin Xiu and
George Em Karniadakis Stochastic Solutions for the
Two-Dimensional Advection-Diffusion
Equation . . . . . . . . . . . . . . . . 578--590
Laurent Granvilliers and
Jorge Cruz and
Pedro Barahona Parameter Estimation Using Interval
Computations . . . . . . . . . . . . . . 591--612
James Lu and
David L. Darmofal Higher-Dimensional Integration with
Gaussian Weight for Applications in
Probabilistic Design . . . . . . . . . . 613--624
Daniel M. Tartakovsky and
Alberto Guadagnini Effective Properties of Random
Composites . . . . . . . . . . . . . . . 625--635
A. M. Sauer-Budge and
J. Peraire Computing Bounds for Linear Functionals
of Exact Weak Solutions to the
Advection-Diffusion-Reaction Equation 636--652
Jacob Barhen and
Vladimir Protopopescu and
David B. Reister Consistent Uncertainty Reduction in
Modeling Nonlinear Systems . . . . . . . 653--665
James Glimm and
John W. Grove and
Yonghee Kang and
Taewon Lee and
Xiaolin Li and
David H. Sharp and
Yan Yu and
Kenny Ye and
Ming Zhao Statistical Riemann Problems and a
Composition Law for Errors in Numerical
Solutions of Shock Physics Problems . . 666--697
Bert J. Debusschere and
Habib N. Najm and
Philippe P. Pébay and
Omar M. Knio and
Roger G. Ghanem and
Olivier P. Le Ma\^\itre Numerical Challenges in the Use of
Polynomial Chaos Representations for
Stochastic Processes . . . . . . . . . . 698--719
D. Lucor and
G. E. Karniadakis Adaptive Generalized Polynomial Chaos
for Nonlinear Random Oscillators . . . . 720--735
Roger G. Ghanem and
Steven F. Wojtkiewicz Special Issue on Uncertainty
Quantification . . . . . . . . . . . . . vii--vii
Qiang Du and
Desheng Wang Anisotropic Centroidal Voronoi
Tessellations and Their Applications . . 737--761
Loyce Adams and
Timothy P. Chartier A Comparison of Algebraic Multigrid and
Geometric Immersed Interface Multigrid
Methods for Interface Problems . . . . . 762--784
Christiane Helzel and
Marsha J. Berger and
Randall J. LeVeque A High-Resolution Rotated Grid Method
for Conservation Laws with Embedded
Geometries . . . . . . . . . . . . . . . 785--809
E. F. D'Azevedo and
B. Messer and
A. Mezzacappa and
M. Liebendörfer An ADI-Like Preconditioner for Boltzmann
Transport . . . . . . . . . . . . . . . 810--820
Jennifer Ryan and
Chi-Wang Shu and
Harold Atkins Extension of a Post Processing Technique
for the Discontinuous Galerkin Method
for Hyperbolic Equations with
Application to an Aeroacoustic Problem 821--843
Zhong-Zhi Bai and
Gene H. Golub and
Lin-Zhang Lu and
Jun-Feng Yin Block Triangular and Skew-Hermitian
Splitting Methods for Positive-Definite
Linear Systems . . . . . . . . . . . . . 844--863
Gary Cohen and
Sandrine Fauqueux Mixed Spectral Finite Elements for the
Linear Elasticity System in Unbounded
Domains . . . . . . . . . . . . . . . . 864--884
Louis F. Rossi Achieving High-Order Convergence Rates
with Deforming Basis Functions . . . . . 885--906
Jianxian Qiu and
Chi-Wang Shu Runge--Kutta Discontinuous Galerkin
Method Using WENO Limiters . . . . . . . 907--929
Indranil Chowdhury and
Vikram Jandhyala Single Level Multipole Expansions and
Operators for Potentials of the Form $
r^{- \lambda } $ . . . . . . . . . . . . 930--943
K. Willcox and
A. Megretski Fourier Series for Accurate, Stable,
Reduced-Order Models in Large-Scale
Linear Applications . . . . . . . . . . 944--962
J. R. Cash A Variable Step Runge--Kutta--Nyström
Integrator for Reversible Systems of
Second Order Initial Value Problems . . 963--978
Lorenzo Pareschi and
Gabriella Puppo and
Giovanni Russo Central Runge--Kutta Schemes for
Conservation Laws . . . . . . . . . . . 979--999
Ruth M. Holland and
Andy J. Wathen and
Gareth J. Shaw Sparse Approximate Inverses and Target
Matrices . . . . . . . . . . . . . . . . 1000--1011
Fabio Di Benedetto and
Claudio Estatico and
Stefano Serra Capizzano Superoptimal Preconditioned Conjugate
Gradient Iteration for Image Deblurring 1012--1035
Yana Di and
Ruo Li and
Tao Tang and
Pingwen Zhang Moving Mesh Finite Element Methods for
the Incompressible Navier--Stokes
Equations . . . . . . . . . . . . . . . 1036--1056
Weizhu Bao and
Fangfang Sun Efficient and Stable Numerical Methods
for the Generalized and Vector Zakharov
System . . . . . . . . . . . . . . . . . 1057--1088
S. Blanes and
C. J. Budd Adaptive Geometric Integrators for
Hamiltonian Problems with Approximate
Scale Invariance . . . . . . . . . . . . 1089--1113
Ivo Babuska and
Börje Andersson The Splitting Method as a Tool for
Multiple Damage Analysis . . . . . . . . 1114--1145
Burak Aksoylu and
Andrei Khodakovsky and
Peter Schröder Multilevel Solvers for Unstructured
Surface Meshes . . . . . . . . . . . . . 1146--1165
Manuel Torrilhon Locally Divergence-preserving Upwind
Finite Volume Schemes for
Magnetohydrodynamic Equations . . . . . 1166--1191
Zhimin Zhang and
Ahmed Naga A New Finite Element Gradient Recovery
Method: Superconvergence Property . . . 1192--1213
Aly-Khan Kassam and
Lloyd N. Trefethen Fourth-Order Time-Stepping for Stiff
PDEs . . . . . . . . . . . . . . . . . . 1214--1233
Takeshi Iwashita and
Yuuichi Nakanishi and
Masaaki Shimasaki Comparison Criteria for Parallel
Orderings in ILU Preconditioning . . . . 1234--1260
Sven Gross and
Arnold Reusken Parallel Multilevel Tetrahedral Grid
Refinement . . . . . . . . . . . . . . . 1261--1288
Peter Buchholz and
Tugrul Dayar Block SOR Preconditioned Projection
Methods for Kronecker Structured
Markovian Representations . . . . . . . 1289--1313
Donald Estep and
Michael Holst and
Mats Larson Generalized Green's Functions and the
Effective Domain of Influence . . . . . 1314--1339
Norberto Mangiavacchi and
Antonio Castelo and
Murilo F. Tomé and
José A. Cuminato and
Maria Luísa Bambozzi de Oliveira and
Sean McKee An Effective Implementation of Surface
Tension Using the Marker and Cell Method
for Axisymmetric and Planar Flows . . . 1340--1368
S. S. Ravindran Real-Time Computational Algorithm for
Optimal Control of an MHD Flow System 1369--1388
H. Cheng and
Z. Gimbutas and
P. G. Martinsson and
V. Rokhlin On the Compression of Low Rank Matrices 1389--1404
Ernesto G. Birgin and
Marcos Raydan Robust Stopping Criteria for Dykstra's
Algorithm . . . . . . . . . . . . . . . 1405--1414
Huazhong Tang and
Gerald Warnecke A Class of High Resolution Difference
Schemes for Nonlinear Hamilton--Jacobi
Equations with Varying Time and Space
Grids . . . . . . . . . . . . . . . . . 1415--1431
Andrei Schaffer Stability of the Adjoint
Differential-Algebraic Equation of the
Index-$3$ Multibody System Equation of
Motion . . . . . . . . . . . . . . . . . 1432--1448
Steinar Evje and
Tore Flåtten Weakly Implicit Numerical Schemes for a
Two-Fluid Model . . . . . . . . . . . . 1449--1484
Volker John and
Songul Kaya A Finite Element Variational Multiscale
Method for the Navier--Stokes Equations 1485--1503
E. Braverman and
M. Israeli and
A. Averbuch A Hierarchical $3$-D Direct Helmholtz
Solver by Domain Decomposition and
Modified Fourier Method . . . . . . . . 1504--1524
Jian-Xin Xu and
Rui Yan and
Weinian Zhang An Algorithm for Melnikov Functions and
Application to a Chaotic Rotor . . . . . 1525--1546
William D. Henshaw On Multigrid for Overlapping Grids . . . 1547--1572
H. De Sterck and
Thomas A. Manteuffel and
Stephen F. McCormick and
Luke Olson Numerical Conservation Properties of $
{H} $ (div)-Conforming Least-Squares
Finite Element Methods for the Burgers
Equation . . . . . . . . . . . . . . . . 1573--1597
Eric de Sturler and
Jörg Liesen Block-Diagonal and Constraint
Preconditioners for Nonsymmetric
Indefinite Linear Systems. Part I:
Theory . . . . . . . . . . . . . . . . . 1598--1619
Prabhu Ramachandran and
S. C. Rajan and
M. Ramakrishna A Fast Multipole Method for Higher Order
Vortex Panels in Two Dimensions . . . . 1620--1642
Weizhang Huang Measuring Mesh Qualities and Application
to Variational Mesh Adaptation . . . . . 1643--1666
Vincent Martin and
Jérôme Jaffré and
Jean E. Roberts Modeling Fractures and Barriers as
Interfaces for Flow in Porous Media . . 1667--1691
Zhaojun Bai and
Yangfeng Su Dimension Reduction of Large-Scale
Second-Order Dynamical Systems via a
Second-Order Arnoldi Method . . . . . . 1692--1709
Zhong-Zhi Bai and
Michael K. Ng On Inexact Preconditioners for
Nonsymmetric Matrices . . . . . . . . . 1710--1724
Derya B. Özyurt and
Paul I. Barton Cheap Second Order Directional
Derivatives of Stiff ODE Embedded
Functionals . . . . . . . . . . . . . . 1725--1743
Markus Klingler and
Peter Leinen and
Harry Yserentant The Finite Mass Method on Domains with
Boundary . . . . . . . . . . . . . . . . 1744--1759
Amir F. Atiya and
Steve A. K. Metwally Efficient Estimation of First Passage
Time Density Function for Jump-Diffusion
Processes . . . . . . . . . . . . . . . 1760--1775
Sven Beuchler Extension Operators on Tensor Product
Structures in Two and Three Dimensions 1776--1795
Xudong Yao and
Jianxin Zhou A Minimax Method for Finding Multiple
Critical Points in Banach Spaces and Its
Application to Quasi-linear Elliptic PDE 1796--1809
Robert Michael Lewis and
Stephen G. Nash Model Problems for the Multigrid
Optimization of Systems Governed by
Differential Equations . . . . . . . . . 1811--1837
Ernst Hairer and
Gustaf Söderlind Explicit, Time Reversible, Adaptive Step
Size Control . . . . . . . . . . . . . . 1838--1851
Fu-Rong Lin and
Michael K. Ng and
Wai-Ki Ching Factorized Banded Inverse
Preconditioners for Matrices with
Toeplitz Structure . . . . . . . . . . . 1852--1870
M. Garbey Acceleration of the Schwarz Method for
Elliptic Problems . . . . . . . . . . . 1871--1893
Nicholas K.-R. Kevlahan and
Oleg V. Vasilyev An Adaptive Wavelet Collocation Method
for Fluid-Structure Interaction at High
Reynolds Numbers . . . . . . . . . . . . 1894--1915
Xiao-Wen Chang and
Christopher C. Paige and
Christian C. J. M. Tiberius Computation of a Test Statistic in Data
Quality Control . . . . . . . . . . . . 1916--1931
Yu. A. Kuznetsov and
H. G. E. Meijer Numerical Normal Forms for Codim 2
Bifurcations of Fixed Points with at
Most Two Critical Eigenvalues . . . . . 1932--1954
Takeshi Ogita and
Siegfried M. Rump and
Shin'ichi Oishi Accurate Sum and Dot Product . . . . . . 1955--1988
J. Liesen and
Z. Strakos GMRES Convergence Analysis for a
Convection-Diffusion Model Problem . . . 1989--2009
Weizhu Bao and
Jie Shen A Fourth-Order Time-Splitting
Laguerre--Hermite Pseudospectral Method
for Bose--Einstein Condensates . . . . . 2010--2028
Eberhard Bänsch and
Frank Hausser and
Axel Voigt Finite Element Method for Epitaxial
Growth with Thermodynamic Boundary
Conditions . . . . . . . . . . . . . . . 2029--2046
Shinichiro Ohnuki and
Weng Cho Chew Error Minimization of Multipole
Expansion . . . . . . . . . . . . . . . 2047--2065
Yong-Kang Zhu and
Jun-Hai Yong and
Guo-Qin Zheng A New Distillation Algorithm for
Floating-Point Summation . . . . . . . . 2066--2078
Shi Jin and
Xin Wen Two Interface-Type Numerical Methods for
Computing Hyperbolic Systems with
Geometrical Source Terms Having
Concentrations . . . . . . . . . . . . . 2079--2101
Darko Volkov and
Demetrios T. Papageorgiou and
Peter G. Petropoulos Accurate and Efficient Boundary Integral
Methods for Electrified Liquid Bridge
Problems . . . . . . . . . . . . . . . . 2102--2132
Gregory Beylkin and
Martin J. Mohlenkamp Algorithms for Numerical Analysis in
High Dimensions . . . . . . . . . . . . 2133--2159
Stéphane Labbé Fast Computation for Large Magnetostatic
Systems Adapted for Micromagnetism . . . 2160--2175
Dionissios T. Hristopulos Erratum: Spartan Gibbs Random Field
Models for Geostatistical Applications 2176--2176
Gundolf Haase and
Stefan Reitzinger Cache Issues of Algebraic Multigrid
Methods for Linear Systems with Multiple
Right-Hand Sides . . . . . . . . . . . . 1--18
James Baglama and
Lothar Reichel Augmented Implicitly Restarted Lanczos
Bidiagonalization Methods . . . . . . . 19--42
Paolo Bientinesi and
Inderjit S. Dhillon and
Robert A. van de Geijn A Parallel Eigensolver for Dense
Symmetric Matrices Based on Multiple
Relatively Robust Representations . . . 43--66
Jan Van Lent and
Stefan Vandewalle Multigrid Methods for Implicit
Runge--Kutta and Boundary Value Method
Discretizations of Parabolic PDEs . . . 67--92
D. J. Kavvadias and
F. S. Makri and
M. N. Vrahatis Efficiently Computing Many Roots of a
Function . . . . . . . . . . . . . . . . 93--107
Boris Diskin and
James L. Thomas and
Raymond E. Mineck On Quantitative Analysis Methods for
Multigrid Solutions . . . . . . . . . . 108--129
Habib Ammari and
Ekaterina Iakovleva and
Dominique Lesselier Two Numerical Methods for Recovering
Small Inclusions from the Scattering
Amplitude at a Fixed Frequency . . . . . 130--158
Xiaoqun Wang and
Ian H. Sloan Why Are High-Dimensional Finance
Problems Often of Low Effective
Dimension? . . . . . . . . . . . . . . . 159--183
Johan Hoffman Computation of Mean Drag for Bluff Body
Problems Using Adaptive DNS/LES . . . . 184--207
Bruno Lombard and
Rosa Donat The Explicit Simplified Interface Method
for Compressible Multicomponent Flows 208--230
Willy Govaerts and
Yuri A. Kuznetsov and
Annick Dhooge Numerical Continuation of Bifurcations
of Limit Cycles in MATLAB . . . . . . . 231--252
Nahid Emad and
Serge Petiton and
Guy Edjlali Multiple Explicitly Restarted Arnoldi
Method for Solving Large Eigenproblems 253--277
N. Del Buono and
L. Lopez and
R. Peluso Computation of the Exponential of Large
Sparse Skew-Symmetric Matrices . . . . . 278--293
Robert Artebrant and
H. Joachim Schroll Conservative Logarithmic Reconstructions
and Finite Volume Methods . . . . . . . 294--314
Y. d'Halluin and
P. A. Forsyth and
G. Labahn A Semi-Lagrangian Approach for American
Asian Options under Jump Diffusion . . . 315--345
Kazufumi Ito and
Zhilin Li and
Yaw Kyei Higher-Order, Cartesian Grid Based
Finite Difference Schemes for Elliptic
Equations on Irregular Domains . . . . . 346--367
Ana-Maria Matache and
Christoph Schwab and
Thomas P. Wihler Fast Numerical Solution of Parabolic
Integrodifferential Equations with
Applications in Finance . . . . . . . . 369--393
Daniel Y. Le Roux Dispersion Relation Analysis of the $
P^{NC}_1 $---$ P_1 $ Finite-Element Pair
in Shallow-Water Models . . . . . . . . 394--414
Martin J. Gander and
Christian Rohde Overlapping Schwarz Waveform Relaxation
for Convection-Dominated Nonlinear
Conservation Laws . . . . . . . . . . . 415--439
Juan A. Acebrón and
Maria Pia Busico and
Piero Lanucara and
Renato Spigler Domain Decomposition Solution of
Elliptic Boundary-Value Problems via
Monte Carlo and Quasi-Monte Carlo
Methods . . . . . . . . . . . . . . . . 440--457
Constantine Bekas and
Yousef Saad Computation of Smallest Eigenvalues
using Spectral Schur Complements . . . . 458--481
D. Breda and
S. Maset and
R. Vermiglio Pseudospectral Differencing Methods for
Characteristic Roots of Delay
Differential Equations . . . . . . . . . 482--495
Inderjit S. Dhillon and
Beresford N. Parlett and
Christof Vömel Glued Matrices and the MRRR Algorithm 496--510
Giray Ökten Solving Linear Equations by Monte Carlo
Simulation . . . . . . . . . . . . . . . 511--531
Steve Bryson and
Doron Levy Balanced Central Schemes for the Shallow
Water Equations on Unstructured Grids 532--552
Gang Bao and
Weiwei Sun A Fast Algorithm for the Electromagnetic
Scattering from a Large Cavity . . . . . 553--574
Bernard Bialecki and
Graeme Fairweather and
Andreas Karageorghis Optimal Superconvergent One Step Nodal
Cubic Spline Collocation Methods . . . . 575--598
E. H. van Brummelen and
R. de Borst On the Nonnormality of Subiteration for
a Fluid-Structure-Interaction Problem 599--621
Donald Goldfarb and
Wotao Yin Second-order Cone Programming Methods
for Total Variation-Based Image
Restoration . . . . . . . . . . . . . . 622--645
Jörg Peters and
Volker Reichelt and
Arnold Reusken Fast Iterative Solvers for Discrete
Stokes Equations . . . . . . . . . . . . 646--666
Stuart C. Hawkins and
Ke Chen An Implicit Wavelet Sparse Approximate
Inverse Preconditioner . . . . . . . . . 667--686
George Biros and
Omar Ghattas Parallel Lagrange--Newton--Krylov--Schur
Methods for PDE-Constrained
Optimization. Part I: The Krylov--Schur
Solver . . . . . . . . . . . . . . . . . 687--713
George Biros and
Omar Ghattas Parallel Lagrange--Newton--Krylov--Schur
Methods for PDE-Constrained
Optimization. Part II: The
Lagrange--Newton Solver and Its
Application to Optimal Control of Steady
Viscous Flows . . . . . . . . . . . . . 714--739
Robert C. Kirby and
Matthew Knepley and
Anders Logg and
L. Ridgway Scott Optimizing the Evaluation of Finite
Element Matrices . . . . . . . . . . . . 741--758
D. J. B. Lloyd and
A. R. Champneys Efficient Numerical Continuation and
Stability Analysis of Spatiotemporal
Quadratic Optical Solitons . . . . . . . 759--773
B. Carpentieri and
I. S. Duff and
L. Giraud and
G. Sylvand Combining Fast Multipole Techniques and
an Approximate Inverse Preconditioner
for Large Electromagnetism Calculations 774--792
Kalvis M. Jansons and
G. D. Lythe Multidimensional Exponential
Timestepping with Boundary Test . . . . 793--808
Mohammed Lemou and
Luc Mieussens Implicit Schemes for the
Fokker--Planck--Landau Equation . . . . 809--830
Stefan Henn A Multigrid Method for a Fourth-Order
Diffusion Equation with Application to
Image Processing . . . . . . . . . . . . 831--849
Francis Filbet and
Chi-Wang Shu Approximation of Hyperbolic Models for
Chemosensitive Movement . . . . . . . . 850--872
Chao Yang and
Weiguo Gao and
Zhaojun Bai and
Xiaoye S. Li and
Lie-Quan Lee and
Parry Husbands and
Esmond Ng An Algebraic Substructuring Method for
Large-Scale Eigenvalue Calculation . . . 873--892
Gradimir V. Milovanovic and
Aleksandar S. Cvetkovic Gaussian-type Quadrature Rules for Müntz
Systems . . . . . . . . . . . . . . . . 893--913
Michaël Baudin and
Frédéric Coquel and
Quang-Huy Tran A Semi-implicit Relaxation Scheme for
Modeling Two-Phase Flow in a Pipeline 914--936
Mila Nikolova and
Michael K. Ng Analysis of Half-Quadratic Minimization
Methods for Signal and Image Recovery 937--966
M. J. Fengler and
W. Freeden A Nonlinear Galerkin Scheme Involving
Vector and Tensor Spherical Harmonics
for Solving the Incompressible
Navier--Stokes Equation on the Sphere 967--994
Jianxian Qiu and
Chi-Wang Shu A Comparison of Troubled-Cell Indicators
for Runge--Kutta Discontinuous Galerkin
Methods Using Weighted Essentially
Nonoscillatory Limiters . . . . . . . . 995--1013
A. Gelb and
Z. Jackiewicz Determining Analyticity for Parameter
Optimization of the Gegenbauer
Reconstruction Method . . . . . . . . . 1014--1031
Yousef Saad Multilevel ILU With Reorderings for
Diagonal Dominance . . . . . . . . . . . 1032--1057
Annie Cuyt and
Gene Golub and
Peyman Milanfar and
Brigitte Verdonk Multidimensional Integral Inversion,
with Applications in Shape
Reconstruction . . . . . . . . . . . . . 1058--1070
E. Carlini and
R. Ferretti and
G. Russo A Weighted Essentially Nonoscillatory,
Large Time-Step Scheme for
Hamilton--Jacobi Equations . . . . . . . 1071--1091
Dan Gordon and
Rachel Gordon Component-Averaged Row Projections: a
Robust, Block-Parallel Scheme for Sparse
Linear Systems . . . . . . . . . . . . . 1092--1117
Dongbin Xiu and
Jan S. Hesthaven High-Order Collocation Methods for
Differential Equations with Random
Inputs . . . . . . . . . . . . . . . . . 1118--1139
Heinz-Otto Kreiss and
N. Anders Petersson A Second Order Accurate Embedded
Boundary Method for the Wave Equation
with Dirichlet Data . . . . . . . . . . 1141--1167
Louis F. Rossi A Comparative Study of Lagrangian
Methods Using Axisymmetric and Deforming
Blobs . . . . . . . . . . . . . . . . . 1168--1180
Ayman Farahat and
Thomas LoFaro and
Joel C. Miller and
Gregory Rae and
Lesley A. Ward Authority Rankings from HITS, PageRank,
and SALSA: Existence, Uniqueness, and
Effect of Initialization . . . . . . . . 1181--1201
S. L. Mitchell and
K. W. Morton and
A. Spence Analysis of Box Schemes for Reactive
Flow Problems . . . . . . . . . . . . . 1202--1225
Carsten Carstensen and
Dirk Praetorius Averaging Techniques for the Effective
Numerical Solution of Symm's Integral
Equation of the First Kind . . . . . . . 1226--1260
M. Brezina and
R. Falgout and
S. MacLachlan T. Manteuffel and
S. McCormick and
J. Ruge Adaptive Algebraic Multigrid . . . . . . 1261--1286
C.-S. Chien and
B.-W. Jeng A Two-Grid Discretization Scheme for
Semilinear Elliptic Eigenvalue Problems 1287--1304
Ernesto E. Prudencio and
Richard Byrd and
Xiao-Chuan Cai Parallel Full Space SQP
Lagrange--Newton--Krylov--Schwarz
Algorithms for PDE-Constrained
Optimization Problems . . . . . . . . . 1305--1328
N. B. Petrovskaya On Oscillations in Discontinuous
Galerkin Discretization Schemes for
Steady State Problems . . . . . . . . . 1329--1346
Helmut Harbrecht and
Reinhold Schneider Wavelet Galerkin Schemes for Boundary
Integral Equations---Implementation and
Quadrature . . . . . . . . . . . . . . . 1347--1370
Mi-Young Kim Discontinuous Galerkin Methods for a
Model of Population Dynamics with
Unbounded Mortality . . . . . . . . . . 1371--1393
Leonidas Linardakis and
Nikos Chrisochoides Delaunay Decoupling Method for Parallel
Guaranteed Quality Planar Mesh
Refinement . . . . . . . . . . . . . . . 1394--1423
Jan Mayer Alternative Weighted Dropping Strategies
for ILUTP . . . . . . . . . . . . . . . 1424--1437
Jasper van den Eshof and
Marlis Hochbruck Preconditioning Lanczos Approximations
to the Matrix Exponential . . . . . . . 1438--1457
Qian-Yong Chen Partitions of a Simplex Leading to
Accurate Spectral (Finite) Volume
Reconstruction . . . . . . . . . . . . . 1458--1470
Y. A. Erlangga and
C. W. Oosterlee and
C. Vuik A Novel Multigrid Based Preconditioner
For Heterogeneous Helmholtz Problems . . 1471--1492
Yiorgos-Sokratis Smyrlis and
Andreas Karageorghis The Method of Fundamental Solutions for
Stationary Heat Conduction Problems in
Rotationally Symmetric Domains . . . . . 1493--1512
Dexuan Xie A New Block Parallel SOR Method and Its
Analysis . . . . . . . . . . . . . . . . 1513--1533
Marian Brezina and
Charles Tong and
Richard Becker Parallel Algebraic Multigrids for
Structural Mechanics . . . . . . . . . . 1534--1554
H. S. Dollar and
A. J. Wathen Approximate Factorization Constraint
Preconditioners for Saddle-Point
Matrices . . . . . . . . . . . . . . . . 1555--1572
Yair Koren and
Irad Yavneh Adaptive Multiscale Redistribution for
Vector Quantization . . . . . . . . . . 1573--1593
Eldad Haber and
Jan Modersitzki A Multilevel Method for Image
Registration . . . . . . . . . . . . . . 1594--1607
A. H. Baker and
J. M. Dennis and
E. R. Jessup On Improving Linear Solver Performance:
a Block Variant of GMRES . . . . . . . . 1608--1626
Matthias Bollhöfer and
Yousef Saad Multilevel Preconditioners Constructed
From Inverse-Based ILUs . . . . . . . . 1627--1650
Howard Elman and
Victoria E. Howle and
John Shadid and
Robert Shuttleworth and
Ray Tuminaro Block Preconditioners Based on
Approximate Commutators . . . . . . . . 1651--1668
Jonathan J. Hu and
Raymond S. Tuminaro and
Pavel B. Bochev and
Christopher J. Garasi and
Allen C. Robinson Toward an $h$-Independent Algebraic
Multigrid Method for Maxwell's Equations 1669--1688
J. Jones and
B. Lee A Multigrid Method for Variable
Coefficient Maxwell's Equations . . . . 1689--1708
Michael Pernice and
Bobby Philip Solution of Equilibrium Radiation
Diffusion Problems Using Implicit
Adaptive Mesh Refinement . . . . . . . . 1709--1726
Edmond Chow An Aggregation Multilevel Method Using
Smooth Error Vectors . . . . . . . . . . 1727--1741
R. Nabben and
C. Vuik A Comparison of Deflation and the
Balancing Preconditioner . . . . . . . . 1742--1759
Luc Giraud and
Daniel Ruiz and
Ahmed Touhami A Comparative Study of Iterative Solvers
Exploiting Spectral Information for SPD
Systems . . . . . . . . . . . . . . . . 1760--1786
Zhongze Li and
Yousef Saad SchurRAS: a Restricted Version of the
Overlapping Schur Complement
Preconditioner . . . . . . . . . . . . . 1787--1801
Panayot Vassilevski 2004 Copper Mountain Conference . . . . ix--x
Pierre A. Gremaud and
Christopher M. Kuster Computational Study of Fast Methods for
the Eikonal Equation . . . . . . . . . . 1803--1816
S. Blanes and
F. Casas and
A. Murua Composition Methods for Differential
Equations with Processing . . . . . . . 1817--1843
Leo Grady and
Eric L. Schwartz Isoperimetric Partitioning: a New
Algorithm for Graph Partitioning . . . . 1844--1866
David Kay and
Emil Lungu A Block Preconditioner for High-Order
Mixed Finite Element Approximations to
the Navier--Stokes Equations . . . . . . 1867--1880
Haoying Fu and
Michael K. Ng and
Mila Nikolova and
Jesse L. Barlow Efficient Minimization Methods of Mixed
$ l - 2$-$ l_1$ and $ l_1$-$ l_1$ Norms
for Image Restoration . . . . . . . . . 1881--1902
Vladimir Rokhlin and
Mark Tygert Fast Algorithms for Spherical Harmonic
Expansions . . . . . . . . . . . . . . . 1903--1928
Roberto Barrio Sensitivity Analysis of ODES/DAES Using
the Taylor Series Method . . . . . . . . 1929--1947
Sheng Xu and
Z. Jane Wang Systematic Derivation of Jump Conditions
for the Immersed Interface Method in
Three-Dimensional Flow Simulation . . . 1948--1980
María J. Cáceres and
José A. Carrillo and
Armando Majorana Deterministic Simulation of the
Boltzmann--Poisson System in GaAs-Based
Semiconductors . . . . . . . . . . . . . 1981--2009
Chengjian Zhang and
Stefan Vandewalle General Linear Methods for Volterra
Integro-differential Equations with
Memory . . . . . . . . . . . . . . . . . 2010--2031
Yoshihiro Kanno and
Makoto Ohsaki Contact Analysis of Cable Networks by
Using Second-Order Cone Programming . . 2032--2052
Marco Donatelli and
Stefano Serra-Capizzano On the Regularizing Power of
Multigrid-type Algorithms . . . . . . . 2053--2076
Markus Wabro AMGe---Coarsening Strategies and
Application to the Oseen Equations . . . 2077--2097
M. K. Banda and
W.-A. Yong and
A. Klar A Stability Notion for Lattice Boltzmann
Equations . . . . . . . . . . . . . . . 2098--2111
Amy N. Langville and
Carl D. Meyer A Reordering for the PageRank Problem 2112--2120
R. Mannella Numerical Stochastic Integration for
Quasi-Symplectic Flows . . . . . . . . . 2121--2139
Misha E. Kilmer and
Eric de Sturler Recycling Subspace Information for
Diffuse Optical Tomography . . . . . . . 2140--2166
Adam B. Singer and
Paul I. Barton Bounding the Solutions of Parameter
Dependent Nonlinear Ordinary
Differential Equations . . . . . . . . . 2167--2182
M. Hintermüller and
G. Stadler An Infeasible Primal-Dual Algorithm for
Total Bounded Variation--Based
Inf-Convolution-Type Image Restoration 1--23
Irad Yavneh and
Gregory Dardyk A Multilevel Nonlinear Method . . . . . 24--46
Samuel A. Isaacson and
Charles S. Peskin Incorporating Diffusion in Complex
Geometries into Stochastic Chemical
Kinetics Simulations . . . . . . . . . . 47--74
Snorre H. Christiansen and
Ragnar Winther On Constraint Preservation in Numerical
Simulations of Yang--Mills Equations . . 75--101
Ana Alonso Rodriguez and
Luca Gerardo-Giorda New Nonoverlapping Domain Decomposition
Methods for the Harmonic Maxwell System 102--122
Susana Serna A Class of Extended Limiters Applied to
Piecewise Hyperbolic Methods . . . . . . 123--140
Gunar Matthies and
Friedhelm Schieweck A Multigrid Method for Incompressible
Flow Problems Using Quasi Divergence
Free Functions . . . . . . . . . . . . . 141--171
Bruno Lombard and
Joël Piraux Numerical modeling of elastic waves
across imperfect contacts . . . . . . . 172--205
Jianliang Qian and
Shingyu Leung A Local Level Set Method for Paraxial
Geometrical Optics . . . . . . . . . . . 206--223
Robert C. Kirby and
Anders Logg and
L. Ridgway Scott and
Andy R. Terrel Topological Optimization of the
Evaluation of Finite Element Matrices 224--240
V. Baramidze and
M. J. Lai and
C. K. Shum Spherical Splines for Data Interpolation
and Fitting . . . . . . . . . . . . . . 241--259
Jason Frank and
Brian E. Moore and
Sebastian Reich Linear PDEs and Numerical Methods That
Preserve a Multisymplectic Conservation
Law . . . . . . . . . . . . . . . . . . 260--277
C. W. Wang and
T. G. Liu and
B. C. Khoo A Real Ghost Fluid Method for the
Simulation of Multimedium Compressible
Flow . . . . . . . . . . . . . . . . . . 278--302
R. I. A. Patterson and
J. Singh and
M. Balthasar and
M. Kraft and
J. R. Norris The Linear Process Deferment Algorithm:
a new technique for solving population
balance equations . . . . . . . . . . . 303--320
Lihua Shen and
Aihui Zhou A Defect Correction Scheme for Finite
Element Eigenvalues with Applications to
Quantum Chemistry . . . . . . . . . . . 321--338
U. M. Ascher and
E. Haber and
H. Huang On Effective Methods for Implicit
Piecewise Smooth Surface Recovery . . . 339--358
Robert Artebrant and
H. Joachim Schroll Limiter-Free Third Order Logarithmic
Reconstruction . . . . . . . . . . . . . 359--381
Larisa Beilina and
Christian Clason An Adaptive Hybrid FEM/FDM Method for an
Inverse Scattering Problem in Scanning
Acoustic Microscopy . . . . . . . . . . 382--402
Michael Hagemann and
Olaf Schenk Weighted Matchings for Preconditioning
Symmetric Indefinite Linear Systems . . 403--420
Achim Schädle and
María López-Fernández and
Christian Lubich Fast and Oblivious Convolution
Quadrature . . . . . . . . . . . . . . . 421--438
D. Noutsos and
S. Serra Capizzano and
P. Vassalos Two-level Toeplitz preconditioning:
approximation results for matrices and
functions . . . . . . . . . . . . . . . 439--458
John Burkardt and
Max Gunzburger and
Hyung-Chun Lee Centroidal Voronoi Tessellation-Based
Reduced-Order Modeling of Complex
Systems . . . . . . . . . . . . . . . . 459--484
Narayan Kovvali and
Wenbin Lin and
Zhiqin Zhao and
Luise Couchman and
Lawrence Carin Rapid Prolate Pseudospectral
Differentiation and Interpolation with
the Fast Multipole Method . . . . . . . 485--497
Alfio Quarteroni and
Marzio Sala and
Alberto Valli An Interface-Strip Domain Decomposition
Preconditioner . . . . . . . . . . . . . 498--516
Christos Xenophontos and
Miltiades Elliotis and
Georgios Georgiou A Singular Function Boundary Integral
Method for Laplacian Problems with
Boundary Singularities . . . . . . . . . 517--532
Jorge Balbás and
Eitan Tadmor Nonoscillatory Central Schemes for One-
and Two-Dimensional Magnetohydrodynamics
Equations. II: High-Order Semi-Discrete
Schemes . . . . . . . . . . . . . . . . 533--560
G. N. Milstein and
M. V. Tretyakov Numerical Algorithms for
Forward-Backward Stochastic Differential
Equations . . . . . . . . . . . . . . . 561--582
Zhong-Zhi Bai and
Gene H. Golub and
Chi-Kwong Li Optimal Parameter in Hermitian and
Skew-Hermitian Splitting Method for
Certain Two-by-Two Block Matrices . . . 583--603
Werner Römisch and
Renate Winkler Stepsize Control for Mean-Square
Numerical Methods for Stochastic
Differential Equations with Small Noise 604--625
C. E. Goodyer and
M. Berzins Adaptive Timestepping for
Elastohydrodynamic Lubrication Solvers 626--650
Siegfried Müller and
Alexander Voss The Riemann Problem for the Euler
Equations with Nonconvex and Nonsmooth
Equation of State: Construction of Wave
Curves . . . . . . . . . . . . . . . . . 651--681
Neil V. Budko and
Alexander B. Samokhin Spectrum of the Volume Integral Operator
of Electromagnetic Scattering . . . . . 682--700
Michael Griebel and
Daniel Oeltz and
Panayot Vassilevski Space--time Approximation with Sparse
Grids . . . . . . . . . . . . . . . . . 701--727
Xiaoqun Wang and
Ian H. Sloan Efficient Weighted Lattice Rules with
Applications to Finance . . . . . . . . 728--750
C. Chauvi\`ere and
J. S. Hesthaven and
L. Lurati Computational Modeling of Uncertainty in
Time-Domain Electromagnetics . . . . . . 751--775
Y. Efendiev and
T. Hou and
W. Luo Preconditioning Markov Chain Monte Carlo
Simulations Using Coarse-Scale Models 776--803
Qingfang Dai and
Xijun Yu RKDG Finite Element Method Combined with
BGK Scheme for Solving Fluid Dynamics
System . . . . . . . . . . . . . . . . . 805--831
JiGuan G. Lin Modeling Test Responses by Multivariable
Polynomials of Higher Degrees . . . . . 832--867
M. Calvo and
D. Hernández-Abreu and
J. I. Montijano and
L. Rández On the Preservation of Invariants by
Explicit Runge--Kutta Methods . . . . . 868--885
Alfonso Bueno-Orovio and
Víctor M. Pérez-García and
Flavio H. Fenton Spectral Methods for Partial
Differential Equations in Irregular
Domains: The Spectral Smoothed Boundary
Method . . . . . . . . . . . . . . . . . 886--900
Xiaoliang Wan and
George Em Karniadakis Multi-Element Generalized Polynomial
Chaos for Arbitrary Probability Measures 901--928
Alberto Donoso Numerical Simulations in $3$D Heat
Conduction: Minimizing the Quadratic
Mean Temperature Gradient by an
Optimality Criteria Method . . . . . . . 929--941
Piero Colli Franzone and
Peter Deuflhard and
Bodo Erdmann and
Jens Lang and
Luca F. Pavarino Adaptivity in Space and Time for
Reaction-Diffusion Systems in
Electrocardiology . . . . . . . . . . . 942--962
Olaf Schenk and
Matthias Bollhöfer and
Rudolf A. Römer On Large-Scale Diagonalization
Techniques for the Anderson Model of
Localization . . . . . . . . . . . . . . 963--983
Jianwei Ma and
Markus Fenn Combined Complex Ridgelet Shrinkage and
Total Variation Minimization . . . . . . 984--1000
Matthias Heinkenschloss and
Hoang Nguyen Neumann--Neumann Domain Decomposition
Preconditioners for Linear-Quadratic
Elliptic Optimal Control Problems . . . 1001--1028
Francis Filbet and
Clément Mouhot and
Lorenzo Pareschi Solving the Boltzmann Equation in $ N
\log_2 N $ . . . . . . . . . . . . . . . 1029--1053
Bernard Bialecki and
Ryan I. Fernandes An Alternating-Direction Implicit
Orthogonal Spline Collocation Scheme for
Nonlinear Parabolic Problems on
Rectangular Polygons . . . . . . . . . . 1054--1077
S. B. Hazra and
V. Schulz Simultaneous Pseudo-Timestepping for
Aerodynamic Shape Optimization Problems
with State Constraints . . . . . . . . . 1078--1099
Haoying Fu and
Michael K. Ng and
Jesse L. Barlow Structured Total Least Squares for Color
Image Restoration . . . . . . . . . . . 1100--1119
Maurizio Falcone and
Stefano Finzi Vita A Finite-Difference Approximation of a
Two-Layer System for Growing Sandpiles 1120--1132
Hyea Hyun Kim and
Chang-Ock Lee A Neumann--Dirichlet Preconditioner for
a FETI-DP Formulation of the
Two-Dimensional Stokes Problem with
Mortar Methods . . . . . . . . . . . . . 1133--1152
Fabian M. Buchmann and
Wesley P. Petersen An Exit Probability Approach to Solving
High Dimensional Dirichlet Problems . . 1153--1166
Dongbin Xiu and
Daniel M. Tartakovsky Numerical Methods for Differential
Equations in Random Domains . . . . . . 1167--1185
Elsayed M. E. Elbarbary Integration Preconditioning Matrix for
Ultraspherical Pseudospectral Operators 1186--1201
Laurent Gosse and
Giuseppe Toscani Lagrangian Numerical Approximations to
One-Dimensional Convolution-Diffusion
Equations . . . . . . . . . . . . . . . 1203--1227
Irene Livshits and
Achi Brandt Accuracy Properties of the Wave-Ray
Multigrid Algorithm for Helmholtz
Equations . . . . . . . . . . . . . . . 1228--1251
L. Gr. Ixaru and
N.-S. Scott and
M. P. Scott Fast Computation of the Slater Integrals 1252--1274
Jonathan J. Crofts and
Ruslan L. Davidchack Efficient Detection of Periodic Orbits
in Chaotic Systems by Stabilizing
Transformations . . . . . . . . . . . . 1275--1288
Ahmed Naga and
Zhimin Zhang and
Aihui Zhou Enhancing Eigenvalue Approximation by
Gradient Recovery . . . . . . . . . . . 1289--1300
Róbert Szalai and
Gábor Stépán and
S. John Hogan Continuation of Bifurcations in Periodic
Delay-Differential Equations Using
Characteristic Matrices . . . . . . . . 1301--1317
C. Cartwright and
S. Oliveira and
D. E. Stewart Parallel Support Set Searches for
Meshfree Methods . . . . . . . . . . . . 1318--1334
Marica Pelanti and
Randall J. LeVeque High-Resolution Finite Volume Methods
for Dusty Gas Jets and Plumes . . . . . 1335--1360
E. Givelberg and
K. Yelick Distributed Immersed Boundary Simulation
in Titanium . . . . . . . . . . . . . . 1361--1378
Lakhdar Remaki and
Wagdi G. Habashi $3$-D Mesh Adaptation on Multiple Weak
Discontinuities and Boundary Layers . . 1379--1397
David P. Nicholls and
Jie Shen A Stable High-Order Method for
Two-Dimensional Bounded-Obstacle
Scattering . . . . . . . . . . . . . . . 1398--1419
Joab R. Winkler High Order Terms for Condition
Estimation of Univariate Polynomials . . 1420--1436
Annie Cuyt and
Brigitte Verdonk and
Haakon Waadeland Efficient and Reliable Multiprecision
Implementation of Elementary and Special
Functions . . . . . . . . . . . . . . . 1437--1462
Kui Ren and
Guillaume Bal and
Andreas H. Hielscher Frequency Domain Optical Tomography
Based on the Equation of Radiative
Transfer . . . . . . . . . . . . . . . . 1463--1489
Yana Di and
Ruo Li and
Tao Tang and
Pingwen Zhang Moving Mesh Methods for Singular
Problems on a Sphere Using Perturbed
Harmonic Mappings . . . . . . . . . . . 1490--1508
Louis F. Rossi Evaluation of the Biot--Savart Integral
for Deformable Elliptical Gaussian
Vortex Elements . . . . . . . . . . . . 1509--1532
Pritam Ganguly and
Stephen A. Vavasis and
Katerina D. Papoulia An Algorithm for Two-Dimensional Mesh
Generation Based on the Pinwheel Tiling 1533--1562
Weidong Zhao and
Lifeng Chen and
Shige Peng A New Kind of Accurate Numerical Method
for Backward Stochastic Differential
Equations . . . . . . . . . . . . . . . 1563--1581
Michael Herty and
Lorenzo Pareschi and
Mohammed Seaid Discrete-Velocity Models and Relaxation
Schemes for Traffic Flows . . . . . . . 1582--1596
Klaus Erhard and
Roland Potthast A Numerical Study of the Probe Method 1597--1612
Osni A. Marques and
E. Jason Riedy and
Christof Vömel Benefits of IEEE-754 Features in Modern
Symmetric Tridiagonal Eigensolvers . . . 1613--1633
Frank Günther and
Miriam Mehl and
Markus Pögl and
Christoph Zenger A Cache-Aware Algorithm for PDEs on
Hierarchical Data Structures Based on
Space-Filling Curves . . . . . . . . . . 1634--1650
Michael L. Parks and
Eric de Sturler and
Greg Mackey and
Duane D. Johnson and
Spandan Maiti Recycling Krylov Subspaces for Sequences
of Linear Systems . . . . . . . . . . . 1651--1674
J. J. Heys and
E. Lee and
T. A. Manteuffel and
S. F. Mccormick On Mass-Conserving Least-Squares Methods 1675--1693
David Kinderlehrer and
Irene Livshits and
Shlomo Ta'asan A Variational Approach to Modeling and
Simulation of Grain Growth . . . . . . . 1694--1715
Bengt Fornberg A Pseudospectral Fictitious Point Method
for High Order Initial-Boundary Value
Problems . . . . . . . . . . . . . . . . 1716--1729
William D. Henshaw A High-Order Accurate Parallel Solver
for Maxwell's Equations on Overlapping
Grids . . . . . . . . . . . . . . . . . 1730--1765
James A. Rossmanith An Unstaggered, High-Resolution
Constrained Transport Method for
Magnetohydrodynamic Flows . . . . . . . 1766--1797
T. W. Tee and
Lloyd N. Trefethen A Rational Spectral Collocation Method
with Adaptively Transformed Chebyshev
Grid Points . . . . . . . . . . . . . . 1798--1811
Alexander M. Bronstein and
Michael M. Bronstein and
Ron Kimmel Efficient Computation of
Isometry-Invariant Distances Between
Surfaces . . . . . . . . . . . . . . . . 1812--1836
Yves Nievergelt Extensions of Priest's Double-Precision
Summation . . . . . . . . . . . . . . . 1837--1850
M. Negreanu and
A.-M. Matache and
C. Schwab Wavelet Filtering for Exact
Controllability of the Wave Equation . . 1851--1885
Axel Klawonn and
Oliver Rheinbach A Parallel Implementation of Dual-Primal
FETI Methods for Three-Dimensional
Linear Elasticity Using a Transformation
of Basis . . . . . . . . . . . . . . . . 1886--1906
Andrey N. Chernikov and
Nikos P. Chrisochoides Parallel Guaranteed Quality Delaunay
Uniform Mesh Refinement . . . . . . . . 1907--1926
Ch. Arvanitis and
A. I. Delis Behavior of Finite Volume Schemes for
Hyperbolic Conservation Laws on Adaptive
Redistributed Spatial Grids . . . . . . 1927--1956
Wei Zhu and
Tony Chan and
Selim Esedo\uglu Segmentation with Depth: a Level Set
Approach . . . . . . . . . . . . . . . . 1957--1973
A. Buffa and
S. Sauter On the Acoustic Single Layer Potential:
Stabilization and Fourier Analysis . . . 1974--1999
Todd Arbogast and
Chieh-Sen Huang A Fully Mass and Volume Conserving
Implementation of a Characteristic
Method for Transport Problems . . . . . 2001--2022
Lili Ju and
Max Gunzburger and
Weidong Zhao Adaptive Finite Element Methods for
Elliptic PDEs Based on Conforming
Centroidal Voronoi--Delaunay
Triangulations . . . . . . . . . . . . . 2023--2053
Heinz-Otto Kreiss and
N. Anders Petersson An Embedded Boundary Method for the Wave
Equation with Discontinuous Coefficients 2054--2074
Ashvin Gopaul and
Muddun Bhuruth Analysis of a Fourth-Order Scheme for a
Three-Dimensional Convection-Diffusion
Model Problem . . . . . . . . . . . . . 2075--2094
Michele Benzi and
Maxim A. Olshanskii An Augmented Lagrangian-Based Approach
to the Oseen Problem . . . . . . . . . . 2095--2113
S. Berrone and
T. Kozubek An Adaptive WEM Algorithm for Solving
Elliptic Boundary Value Problems in
Fairly General Domains . . . . . . . . . 2114--2138
M. J. Rempe and
D. L. Chopp A Predictor-Corrector Algorithm for
Reaction-Diffusion Equations Associated
with Neural Activity on Branched
Structures . . . . . . . . . . . . . . . 2139--2161
Ronald Cools and
Frances Y. Kuo and
Dirk Nuyens Constructing Embedded Lattice Rules for
Multivariate Integration . . . . . . . . 2162--2188
Anita T. Layton Modeling Water Transport across Elastic
Boundaries Using an Explicit Jump Method 2189--2207
Chin-Tien Wu and
Howard C. Elman Analysis and Comparison of Geometric and
Algebraic Multigrid for
Convection-Diffusion Equations . . . . . 2208--2228
Doron Levy and
Suhas Nayak and
Chi-Wang Shu and
Yong-Tao Zhang Central WENO Schemes for
Hamilton--Jacobi Equations on Triangular
Meshes . . . . . . . . . . . . . . . . . 2229--2247
S. Corsaro and
K. Mikula and
A. Sarti and
F. Sgallari Semi-Implicit Covolume Method in $3$D
Image Segmentation . . . . . . . . . . . 2248--2265
Pascal Hénon and
Yousef Saad A Parallel Multistage ILU Factorization
Based on a Hierarchical Graph
Decomposition . . . . . . . . . . . . . 2266--2293
Yongsam Kim and
Charles S. Peskin $2$-D Parachute Simulation by the
Immersed Boundary Method . . . . . . . . 2294--2312
István Faragó and
Róbert Horváth Discrete Maximum Principle and Adequate
Discretizations of Linear Parabolic
Problems . . . . . . . . . . . . . . . . 2313--2336
James R. McCombs and
Andreas Stathopoulos Iterative Validation of Eigensolvers: a
Scheme for Improving the Reliability of
Hermitian Eigenvalue Solvers . . . . . . 2337--2358
J. Tinsley Oden and
Serge Prudhomme and
Albert Romkes and
Paul T. Bauman Multi-Scale Modeling of Physical
Phenomena: Adaptive Control of Models 2359--2389
F. P. Andriulli and
A. Tabacco and
G. Vecchi A Multiresolution Approach to the
Electric Field Integral Equation in
Antenna Problems . . . . . . . . . . . . 1--21
Roland Griesse and
Boris Vexler Numerical Sensitivity Analysis for the
Quantity of Interest in PDE-Constrained
Optimization . . . . . . . . . . . . . . 22--48
Daniel Busby and
Chris L. Farmer and
Armin Iske Hierarchical Nonlinear Approximation for
Experimental Design and Statistical Data
Fitting . . . . . . . . . . . . . . . . 49--69
S. Hüeber and
A. Matei and
B. I. Wohlmuth Efficient Algorithms for Problems with
Friction . . . . . . . . . . . . . . . . 70--92
Ariel Almendral and
Cornelis W. Oosterlee Accurate Evaluation of European and
American Options Under the CGMY Process 93--117
Zhiming Chen and
Long Wang and
Weiying Zheng An Adaptive Multilevel Method for
Time-Harmonic Maxwell Equations with
Singularities . . . . . . . . . . . . . 118--138
Jaideep Ray and
Christopher A. Kennedy and
Sophia Lefantzi and
Habib N. Najm Using High-Order Methods on Adaptively
Refined Block-Structured Meshes:
Derivatives, Interpolations, and Filters 139--181
Hemant Mahawar and
Vivek Sarin Preconditioned Iterative Solvers for
Inductance Extraction of VLSI Circuits 182--196
R. D. Russell and
J. F. Williams and
X. Xu MOVCOL4: a Moving Mesh Code for
Fourth-Order Time-Dependent Partial
Differential Equations . . . . . . . . . 197--220
Jaw-Yen Yang and
Tse-Yang Hsieh and
Yu-Hsin Shi Kinetic Flux Vector Splitting Schemes
for Ideal Quantum Gas Dynamics . . . . . 221--244
Kevin Burrage and
Ian Lenane and
Grant Lythe Numerical Methods for Second-Order
Stochastic Differential Equations . . . 245--264
Francesc Ar\`andiga and
Rosa Donat Stability Through Synchronization in
Nonlinear Multiscale Transformations . . 265--289
U. Langer and
G. Of and
O. Steinbach and
W. Zulehner Inexact Data-Sparse Boundary Element
Tearing and Interconnecting Methods . . 290--314
Misha E. Kilmer and
Per Christian Hansen and
Malena I. Español A Projection-Based Approach to
General-Form Tikhonov Regularization . . 315--330
Daniel Y. Le Roux and
Virgile Rostand and
Benoit Pouliot Analysis of Numerically Induced
Oscillations in $2$D Finite-Element
Shallow-Water Models. Part I:
Inertia-Gravity Waves . . . . . . . . . 331--360
K.-A. Mardal and
T. K. Nilssen and
G. A. Staff Order-Optimal Preconditioners for
Implicit Runge--Kutta Schemes Applied to
Parabolic PDEs . . . . . . . . . . . . . 361--375
Philippe Bechouche and
Laurent Gosse A Semiclassical Coupled Model for the
Transient Simulation of Semiconductor
Devices . . . . . . . . . . . . . . . . 376--396
Carlo L. Bottasso and
Olivier A. Bauchau and
Alberto Cardona Time-Step-Size-Independent Conditioning
and Sensitivity to Perturbations in the
Numerical Solution of Index Three
Differential Algebraic Equations . . . . 397--414
Zhong-Zhi Bai and
Yu-Mei Huang and
Michael K. Ng On Preconditioned Iterative Methods for
Burgers Equations . . . . . . . . . . . 415--439
Christoph Reisinger and
Gabriel Wittum Efficient Hierarchical Approximation of
High-Dimensional Option Pricing Problems 440--458
A. Wacher and
I. Sobey String Gradient Weighted Moving Finite
Elements in Multiple Dimensions with
Applications in Two Dimensions . . . . . 459--480
Andreas Stathopoulos Nearly Optimal Preconditioned Methods
for Hermitian Eigenproblems under
Limited Memory. Part I: Seeking One
Eigenvalue . . . . . . . . . . . . . . . 481--514
Zhongyi Huang and
Shi Jin and
Peter A. Markowich and
Christof Sparber A Bloch Decomposition--Based Split-Step
Pseudospectral Method for Quantum
Dynamics with Periodic Potentials . . . 515--538
Christophe Chalons Numerical Approximation of a Macroscopic
Model of Pedestrian Flows . . . . . . . 539--555
Martin J. Gander and
Stefan Vandewalle Analysis of the Parareal Time-Parallel
Time-Integration Method . . . . . . . . 556--578
Peter Frolkovi\vc and
Karol Mikula High-Resolution Flux-Based Level Set
Method . . . . . . . . . . . . . . . . . 579--597
Xiaoqun Wang Constructing Robust Good Lattice Rules
for Computational Finance . . . . . . . 598--621
Christopher M. Kuster and
Pierre A. Gremaud and
Rachid Touzani Fast Numerical Methods for Bernoulli
Free Boundary Problems . . . . . . . . . 622--634
Zheng-Jian Bai and
Delin Chu and
Roger C. E. Tan Computing the Nearest Doubly Stochastic
Matrix with a Prescribed Entry . . . . . 635--655
Ronald D. Haynes and
Robert D. Russell A Schwarz Waveform Moving Mesh Method 656--673
Habib Ammari and
Ekaterina Iakovleva and
Dominique Lesselier and
Gaële Perrusson MUSIC-Type Electromagnetic Imaging of a
Collection of Small Three-Dimensional
Inclusions . . . . . . . . . . . . . . . 674--709
L. Giraud and
S. Gratton and
J. Langou Convergence in Backward Error of Relaxed
GMRES . . . . . . . . . . . . . . . . . 710--728
S.-L. Chang and
C.-S. Chien and
B.-W. Jeng Liapunov--Schmidt Reduction and
Continuation for Nonlinear Schrödinger
Equations . . . . . . . . . . . . . . . 729--755
Weiming Cao Anisotropic Measures of Third Order
Derivatives and the Quadratic
Interpolation Error on Triangular
Elements . . . . . . . . . . . . . . . . 756--781
Carsten Carstensen and
Dirk Praetorius Averaging Techniques for the a
Posteriori BEM Error Control for a
Hypersingular Integral Equation in Two
Dimensions . . . . . . . . . . . . . . . 782--810
Lars-Erik Andersson and
Neil F. Stewart and
Malika Zidani Error Analysis for Operations in Solid
Modeling in the Presence of Uncertainty 811--826
Robert C. Kirby and
L. Ridgway Scott Geometric Optimization of the Evaluation
of Finite Element Matrices . . . . . . . 827--841
F. Friedrich and
L. Demaret and
H. Führ and
K. Wicker Efficient Moment Computation over
Polygonal Domains with an Application to
Rapid Wedgelet Approximation . . . . . . 842--863
O. P. Le Ma\^\itre and
H. N. Najm and
P. P. Pébay and
R. G. Ghanem and
O. M. Knio Multi-Resolution-Analysis Scheme for
Uncertainty Quantification in Chemical
Systems . . . . . . . . . . . . . . . . 864--889
Quan-Fang Wang Theoretical and Computational Issues of
Optimal Control for Distributed Hopfield
Neural Network Equations with Diffusion
Term . . . . . . . . . . . . . . . . . . 890--911
Hyun-Cheol Hwang An Internal Structure Dependent Riemann
Solver for Regularization-Sensitive
Shock Waves and Its Application to Front
Tracking . . . . . . . . . . . . . . . . 913--940
Arta A. Jamshidi and
Michael J. Kirby Towards a Black Box Algorithm for
Nonlinear Function Approximation over
High-Dimensional Domains . . . . . . . . 941--963
Ernesto E. Prudencio and
Xiao-Chuan Cai Parallel Multilevel Restricted Schwarz
Preconditioners with Pollution Removing
for PDE-Constrained Optimization . . . . 964--985
G. Cohen and
P. Grob Mixed Higher Order Spectral Finite
Elements for Reissner--Mindlin Equations 986--1005
John W. Barrett and
Harald Garcke and
Robert Nürnberg On the Variational Approximation of
Combined Second and Fourth Order
Geometric Evolution Equations . . . . . 1006--1041
Assefaw H. Gebremedhin and
Arijit Tarafdar and
Fredrik Manne and
Alex Pothen New Acyclic and Star Coloring Algorithms
with Application to Computing Hessians 1042--1072
L. F. Pavarino and
E. Zampieri and
R. Pasquetti and
F. Rapetti Overlapping Schwarz Methods for Fekete
and Gauss--Lobatto Spectral Elements . . 1073--1092
M. J. Castro Díaz and
T. Chacón Rebollo and
E. D. Fernández-Nieto and
Carlos Parés On Well-Balanced Finite Volume Methods
for Nonconservative Nonhomogeneous
Hyperbolic Systems . . . . . . . . . . . 1093--1126
P. Grob and
P. Joly Conservative Coupling between Finite
Elements and Retarded Potentials.
Application to Vibroacoustics . . . . . 1127--1159
P. G. Martinsson and
V. Rokhlin An Accelerated Kernel-Independent Fast
Multipole Method in One Dimension . . . 1160--1178
J. A. Carrillo and
F. Vecil Nonoscillatory Interpolation Methods
Applied to Vlasov-Based Models . . . . . 1179--1206
Michael Carley Numerical Quadratures for Singular and
Hypersingular Integrals in Boundary
Element Methods . . . . . . . . . . . . 1207--1216
M. Ganesh and
S. C. Hawkins A Hybrid High-Order Algorithm for Radar
Cross Section Computations . . . . . . . 1217--1243
E. Bécache and
J. Rodríguez and
C. Tsogka A Fictitious Domain Method with Mixed
Finite Elements for Elastodynamics . . . 1244--1267
V. Simoncini A New Iterative Method for Solving
Large-Scale Lyapunov Matrix Equations 1268--1288
Laura Grigori and
James W. Demmel and
Xiaoye S. Li Parallel Symbolic Factorization for
Sparse LU with Static Pivoting . . . . . 1289--1314
F. Musy and
L. Nicolas and
R. Perrussel Compatible Coarse Nodal and Edge
Elements Through Energy Functionals . . 1315--1337
Xian-Liang Hu and
Dan-Fu Han and
Ming-Jun Lai Bivariate Splines of Various Degrees for
Numerical Solution of Partial
Differential Equations . . . . . . . . . 1338--1354
Xudong Yao and
Jianxin Zhou Numerical Methods for Computing
Nonlinear Eigenpairs: Part I.
Iso-Homogeneous Cases . . . . . . . . . 1355--1374
Oscar P. Bruno and
Michael C. Haslam Regularity Theory and Superalgebraic
Solvers for Wire Antenna Problems . . . 1375--1402
Stefan Kunis and
Daniel Potts Stability Results for Scattered Data
Interpolation by Trigonometric
Polynomials . . . . . . . . . . . . . . 1403--1419
Andreas Glaser and
Xiangtao Liu and
Vladimir Rokhlin A Fast Algorithm for the Calculation of
the Roots of Special Functions . . . . . 1420--1438
Hussein Mustapha and
Kassem Mustapha A New Approach to Simulating Flow in
Discrete Fracture Networks with an
Optimized Mesh . . . . . . . . . . . . . 1439--1459
J. Lang and
J. G. Verwer On Global Error Estimation and Control
for Initial Value Problems . . . . . . . 1460--1475
Tah\^\ir Malas and
Levent Gürel Incomplete $ L U $ Preconditioning with
the Multilevel Fast Multipole Algorithm
for Electromagnetic Scattering . . . . . 1476--1494
A. J. Roberts and
I. G. Kevrekidis General Tooth Boundary Conditions for
Equation Free Modeling . . . . . . . . . 1495--1510
Randolph E. Bank and
Jeffrey S. Ovall Dual Functions for a Parallel Adaptive
Method . . . . . . . . . . . . . . . . . 1511--1524
Esteban Moro and
Henri Schurz Boundary Preserving Semianalytic
Numerical Algorithms for Stochastic
Differential Equations . . . . . . . . . 1525--1549
Aaron Luttman and
John Bardsley A Variational Approach to Video
Segmentation for Botanical Data . . . . 1550--1566
Mika Malinen Boundary Conditions in the Schur
Complement Preconditioning of
Dissipative Acoustic Equations . . . . . 1567--1592
B. Carpentieri and
L. Giraud and
S. Gratton Additive and Multiplicative Two-Level
Spectral Preconditioning for General
Linear Systems . . . . . . . . . . . . . 1593--1612
H. bin Zubair and
C. W. Oosterlee and
R. Wienands Multigrid for High-Dimensional Elliptic
Partial Differential Equations on
Non-equidistant Grids . . . . . . . . . 1613--1636
Robert I. McLachlan A New Implementation of Symplectic
Runge--Kutta Methods . . . . . . . . . . 1637--1649
Mihai Anitescu and
William J. Layton Sensitivities in Large Eddy Simulation
and Improved Estimates of Turbulent Flow
Functionals . . . . . . . . . . . . . . 1650--1667
Jorge Delgado and
J. M. Peña A Corner Cutting Algorithm for
Evaluating Rational Bézier Surfaces and
the Optimal Stability of the Basis . . . 1668--1682
Bora Uçar and
Cevdet Aykanat Partitioning Sparse Matrices for
Parallel Preconditioned Iterative
Methods . . . . . . . . . . . . . . . . 1683--1709
Björn Engquist and
Lexing Ying Fast Directional Multilevel Algorithms
for Oscillatory Kernels . . . . . . . . 1710--1737
Wayne B. Hayes and
Kenneth R. Jackson A Fast Shadowing Algorithm for
High-Dimensional ODE Systems . . . . . . 1738--1758
Xuemin Tu Three-Level BDDC in Three Dimensions . . 1759--1780
Pierre-Henri Maire and
Rémi Abgrall and
Jérôme Breil and
Jean Ovadia A Cell-Centered Lagrangian Scheme for
Two-Dimensional Compressible Flow
Problems . . . . . . . . . . . . . . . . 1781--1824
S. MacLachlan and
Yousef Saad A Greedy Strategy for Coarse-Grid
Selection . . . . . . . . . . . . . . . 1825--1853
Chao Yang and
Juan C. Meza and
Lin-Wang Wang A Trust Region Direct Constrained
Minimization Algorithm for the
Kohn--Sham Equation . . . . . . . . . . 1854--1875
Nail A. Gumerov and
Ramani Duraiswami Fast Radial Basis Function Interpolation
via Preconditioned Krylov Iteration . . 1876--1899
B. Chang and
T. Manteuffel and
S. McCormick and
J. Ruge and
B. Sheehan Spatial Multigrid for Isotropic Neutron
Transport . . . . . . . . . . . . . . . 1900--1917
Jurjen Duintjer Tebbens and
Miroslav T\ocircuma Efficient Preconditioning of Sequences
of Nonsymmetric Linear Systems . . . . . 1918--1941
M. B. van Gijzen and
Y. A. Erlangga and
C. Vuik Spectral Analysis of the Discrete
Helmholtz Operator Preconditioned with a
Shifted Laplacian . . . . . . . . . . . 1942--1958
Michele Benzi and
Jia Liu An Efficient Solver for the
Incompressible Navier--Stokes Equations
in Rotation Form . . . . . . . . . . . . 1959--1981
Elena Virnik An Algebraic Multigrid Preconditioner
for a Class of Singular $M$-Matrices . . 1982--1991
Tim Rees and
Chen Greif A Preconditioner for Linear Systems
Arising From Interior Point Optimization
Methods . . . . . . . . . . . . . . . . 1992--2007
Eldad Haber and
Stefan Heldmann and
Jan Modersitzki An Octree Method for Parametric Image
Registration . . . . . . . . . . . . . . 2008--2023
M. Arioli and
I. S. Duff and
S. Gratton and
S. Pralet A Note on GMRES Preconditioned by a
Perturbed $ L D L^T $ Decomposition with
Static Pivoting . . . . . . . . . . . . 2024--2044
Clark R. Dohrmann Interpolation Operators for Algebraic
Multigrid by Local Optimization . . . . 2045--2058
Michael A. Heroux and
Andrew G. Salinger and
Laura J. D. Frink Parallel Segregated Schur Complement
Methods for Fluid Density Functional
Theories . . . . . . . . . . . . . . . . 2059--2077
Zhiqiang Cai and
Yanqiu Wang A Multigrid Method for the Pseudostress
Formulation of Stokes Problems . . . . . 2078--2095
Chao Jin and
Xiao-Chuan Cai and
Congming Li Parallel Domain Decomposition Methods
for Stochastic Elliptic Equations . . . 2096--2114
Scott MacLachlan and
Yousef Saad Greedy Coarsening Strategies for
Nonsymmetric Problems . . . . . . . . . 2115--2143
David Fritzsche and
Andreas Frommer and
Daniel B. Szyld Extensions of Certain Graph-based
Algorithms for Preconditioning . . . . . 2144--2161
Andreas Stathopoulos and
James R. McCombs Nearly Optimal Preconditioned Methods
for Hermitian Eigenproblems Under
Limited Memory. Part II: Seeking Many
Eigenvalues . . . . . . . . . . . . . . 2162--2188
Luke Olson Algebraic Multigrid Preconditioning of
High-Order Spectral Elements for
Elliptic Problems on a Simplicial Mesh 2189--2209
J. M. Dennis and
E. R. Jessup Applying Automated Memory Analysis to
Improve Iterative Algorithms . . . . . . 2210--2223
A. V. Knyazev and
M. E. Argentati and
I. Lashuk and
E. E. Ovtchinnikov Block Locally Optimal Preconditioned
Eigenvalue Xolvers (BLOPEX) in Hypre and
PETSc . . . . . . . . . . . . . . . . . 2224--2239
Panayot S. Vassilevski Copper Mountain Special Issue on
Iterative Methods . . . . . . . . . . . ix--x
David Kay and
Richard Welford Efficient Numerical Solution of
Cahn--Hilliard--Navier--Stokes Fluids in
$2$D . . . . . . . . . . . . . . . . . . 2241--2257
J. A. Mackenzie and
A. Nicola A Discontinuous Galerkin Moving Mesh
Method for Hamilton--Jacobi Equations 2258--2282
Jing Yuan and
Christoph Schörr and
Gabriele Steidl Simultaneous Higher-Order Optical Flow
Estimation and Decomposition . . . . . . 2283--2304
Daan Huybrechs and
Stefan Vandewalle A Sparse Discretization for Integral
Equation Formulations of High Frequency
Scattering Problems . . . . . . . . . . 2305--2328
Brett W. Bader and
Robert B. Schnabel On the Performance of Tensor Methods for
Solving Ill-Conditioned Problems . . . . 2329--2351
Daniel Köster Numerical Simulation of Acoustic
Streaming on Surface Acoustic
Wave-driven Biochips . . . . . . . . . . 2352--2380
Alexander Kurganov and
Guergana Petrova and
Bojan Popov Adaptive Semidiscrete Central-Upwind
Schemes for Nonconvex Hyperbolic
Conservation Laws . . . . . . . . . . . 2381--2401
A. St-Cyr and
M. J. Gander and
S. J. Thomas Optimized Multiplicative, Additive, and
Restricted Additive Schwarz
Preconditioning . . . . . . . . . . . . 2402--2425
Hillel Tal-Ezer On Restart and Error Estimation for
Krylov Approximation of $ w = f(A) v $ 2426--2441
R. E. Beardmore and
A. T. Peplow and
F. Bresme A Numerical Bifurcation Analysis of the
Ornstein--Zernike Equation with
Hypernetted Chain Closure . . . . . . . 2442--2463
Emmanuel Cand\`es and
Laurent Demanet and
Lexing Ying Fast Computation of Fourier Integral
Operators . . . . . . . . . . . . . . . 2464--2493
Chunxiong Zheng Numerical Solution to the Sine-Gordon
Equation Defined on the Whole Real Axis 2494--2506
Robert Michael Lewis and
Anne Shepherd and
Virginia Torczon Implementing Generating Set Search
Methods for Linearly Constrained
Minimization . . . . . . . . . . . . . . 2507--2530
Zheng-Jian Bai and
Delin Chu and
Defeng Sun A Dual Optimization Approach to Inverse
Quadratic Eigenvalue Problems with
Partial Eigenstructure . . . . . . . . . 2531--2561
Roger B. Sidje and
Kevin Burrage and
Shev MacNamara Inexact Uniformization Method for
Computing Transient Distributions of
Markov Chains . . . . . . . . . . . . . 2562--2580
Shravan K. Veerapaneni and
George Biros A High-Order Solver for the Heat
Equation in $1$D domains with Moving
Boundaries . . . . . . . . . . . . . . . 2581--2606
Karthikeyan Duraisamy and
James D. Baeder Implicit Scheme for Hyperbolic
Conservation Laws Using Nonoscillatory
Reconstruction in Space and Time . . . . 2607--2620
Radu Serban and
Chris Homescu and
Linda R. Petzold The Effect of Problem Perturbations on
Nonlinear Dynamical Systems and their
Reduced-Order Models . . . . . . . . . . 2621--2643
W. Govaerts and
R. Khoshsiar Ghaziani and
Yu. A. Kuznetsov and
H. G. E. Meijer Numerical Methods for Two-Parameter
Local Bifurcation Analysis of Maps . . . 2644--2667
Moody T. Chu and
Nicoletta Del Buono and
Bo Yu Structured Quadratic Inverse Eigenvalue
Problem, I. Serially Linked Systems . . 2668--2685
Maxim A. Olshanskii and
Yuri V. Vassilevski Pressure Schur Complement
Preconditioners for the Discrete Oseen
Problem . . . . . . . . . . . . . . . . 2686--2704
Christian Clason and
Michael V. Klibanov The Quasi-Reversibility Method for
Thermoacoustic Tomography in a
Heterogeneous Medium . . . . . . . . . . 1--23
C. H. Wolters and
H. Köstler and
C. Möller and
J. Härdtlein and
L. Grasedyck and
W. Hackbusch Numerical Mathematics of the Subtraction
Method for the Modeling of a Current
Dipole in EEG Source Reconstruction
Using Finite Element Head Models . . . . 24--45
Jan Nordström Error Bounded Schemes for Time-dependent
Hyperbolic Problems . . . . . . . . . . 46--59
Bengt Fornberg and
Cécile Piret A Stable Algorithm for Flat Radial Basis
Functions on a Sphere . . . . . . . . . 60--80
Philippe Guyenne and
David P. Nicholls A High-Order Spectral Method for
Nonlinear Water Waves over Moving Bottom
Topography . . . . . . . . . . . . . . . 81--101
J. Langou and
Z. Chen and
G. Bosilca and
J. Dongarra Recovery Patterns for Iterative Methods
in a Parallel Unstable Environment . . . 102--116
Markus Klingler and
Peter Leinen and
Harry Yserentant A Restart Procedure for the Finite Mass
Method . . . . . . . . . . . . . . . . . 117--133
Stephen D. Bond and
Benedict J. Leimkuhler Stabilized Integration of Hamiltonian
Systems with Hard-Sphere Inequality
Constraints . . . . . . . . . . . . . . 134--147
Steffen Börm Adaptive Variable-Rank Approximation of
General Dense Matrices . . . . . . . . . 148--168
Roman N. Makarov and
Elena V. Shkarupa Stochastic Algorithms with Hermite Cubic
Spline Interpolation for Global
Estimation of Solutions of Boundary
Value Problems . . . . . . . . . . . . . 169--188
Mark Ainsworth A Posteriori Error Estimation for Lowest
Order Raviart--Thomas Mixed Finite
Elements . . . . . . . . . . . . . . . . 189--204
Brett W. Bader and
Tamara G. Kolda Efficient MATLAB Computations with
Sparse and Factored Tensors . . . . . . 205--231
S. Röllin and
W. Fichtner Improving the Accuracy of GMRes with
Deflated Restarting . . . . . . . . . . 232--245
Emmanuil H. Georgoulis and
Edward Hall and
Paul Houston Discontinuous Galerkin Methods for
Advection-Diffusion-Reaction Problems on
Anisotropically Refined Meshes . . . . . 246--271
Sean Curtis and
Robert M. Kirby and
Jennifer K. Ryan and
Chi-Wang Shu Postprocessing for the Discontinuous
Galerkin Method over Nonuniform Meshes 272--289
Howard Elman and
Victoria E. Howle and
John Shadid and
David Silvester and
Ray Tuminaro Least Squares Preconditioners for
Stabilized Discretizations of the
Navier--Stokes Equations . . . . . . . . 290--311
A. Bermúdez and
L. Hervella-Nieto and
A. Prieto and
R. Rodríguez An Exact Bounded Perfectly Matched Layer
for Time-Harmonic Scattering Problems 312--338
Zhuliang Chen and
Peter A. Forsyth A Semi-Lagrangian Approach for Natural
Gas Storage Valuation and Optimal
Operation . . . . . . . . . . . . . . . 339--368
Michael Schmich and
Boris Vexler Adaptivity with Dynamic Meshes for
Space--time Finite Element
Discretizations of Parabolic Equations 369--393
Christophe Chalons and
Frédéric Coquel and
Claude Marmignon Well-Balanced Time Implicit Formulation
of Relaxation Schemes for the Euler
Equations . . . . . . . . . . . . . . . 394--415
I. Livshits One-Dimensional Algorithm for Finding
Eigenbasis of the Schrödinger Operator 416--440
A. Borz\`\i and
U. Hohenester Multigrid Optimization Schemes for
Solving Bose--Einstein Condensate
Control Problems . . . . . . . . . . . . 441--462
Luigi Brugnano and
Vincenzo Casulli Iterative Solution of Piecewise Linear
Systems . . . . . . . . . . . . . . . . 463--472
Yair Censor and
Tommy Elfving and
Gabor T. Herman and
Touraj Nikazad On Diagonally Relaxed Orthogonal
Projection Methods . . . . . . . . . . . 473--504
J. K. Kraus Algebraic Multigrid Based on
Computational Molecules, 2: Linear
Elasticity Problems . . . . . . . . . . 505--524
Julie C. Mitchell Sampling Rotation Groups by Successive
Orthogonal Images . . . . . . . . . . . 525--547
Aaron Luttman and
John Bardsley Erratum: a Variational Approach to Video
Segmentation for Botanical Data . . . . 548--548
K. L. Tan and
B. C. Khoo and
J. K. White A Level Set--Boundary Element Method for
the Simulation of Underwater Bubble
Dynamics . . . . . . . . . . . . . . . . 549--571
S. Hüeber and
G. Stadler and
B. I. Wohlmuth A Primal-Dual Active Set Algorithm for
Three-Dimensional Contact Problems with
Coulomb Friction . . . . . . . . . . . . 572--596
Simon J. A. Malham and
Anke Wiese Stochastic Lie Group Integrators . . . . 597--617
L. Banjai Revisiting the Crowding Phenomenon in
Schwarz--Christoffel Mapping . . . . . . 618--636
David Bindel and
James Demmel and
Mark Friedman Continuation of Invariant Subspaces in
Large Bifurcation Problems . . . . . . . 637--656
Kristian Bredies and
Dirk A. Lorenz Iterated Hard Shrinkage for Minimization
Problems with Sparsity Constraints . . . 657--683
Johannes K. Kraus and
Satyendra K. Tomar Multilevel Preconditioning of
Two-dimensional Elliptic Problems
Discretized by a Class of Discontinuous
Galerkin Methods . . . . . . . . . . . . 684--706
Fionn Murtagh and
Geoff Downs and
Pedro Contreras Hierarchical Clustering of Massive, High
Dimensional Data Sets by Exploiting
Ultrametric Embedding . . . . . . . . . 707--730
F. Nobile and
C. Vergara An Effective Fluid-Structure Interaction
Formulation for Vascular Dynamics by
Generalized Robin Conditions . . . . . . 731--763
A. Averbuch and
R. R. Coifman and
D. L. Donoho and
M. Israeli and
Y. Shkolnisky A Framework for Discrete Integral
Transformations I --- The Pseudopolar
Fourier Transform . . . . . . . . . . . 764--784
A. Averbuch and
R. R. Coifman and
D. L. Donoho and
M. Israeli and
Y. Shkolnisky and
I. Sedelnikov A Framework for Discrete Integral
Transformations II --- The $2$D Discrete
Radon Transform . . . . . . . . . . . . 785--803
Zhong-Zhi Bai and
Yong-Hua Gao and
Lin-Zhang Lu Fast Iterative Schemes for Nonsymmetric
Algebraic Riccati Equations Arising from
Transport Theory . . . . . . . . . . . . 804--818
Vincent Israel-Jost FA-SART: a Frequency-Adaptive Algorithm
in Pinhole SPECT Tomography . . . . . . 819--836
Gregery T. Buzzard and
Jeffrey J. Fox and
Fernando Siso-Nadal Sharp Interface and Voltage Conservation
in the Phase Field Method: Application
to Cardiac Electrophysiology . . . . . . 837--854
Martin Christiansen and
Martin Hanke Deblurring Methods Using Antireflective
Boundary Conditions . . . . . . . . . . 855--872
Markus Brunk and
Ansgar Jüngel Numerical Coupling of Electric Circuit
Equations and Energy-Transport Models
for Semiconductors . . . . . . . . . . . 873--894
T. Lu and
Z. L. Xu and
R. Samulyak and
J. Glimm and
X. M. Ji Dynamic Phase Boundaries for
Compressible Fluids . . . . . . . . . . 895--915
Jens Neumann and
Constantinos C. Pantelides Consistency on Domain Boundaries for
Linear PDAE Systems . . . . . . . . . . 916--936
Xudong Yao and
Jianxin Zhou Numerical Methods for Computing
Nonlinear Eigenpairs: Part II.
Non-Iso-Homogeneous Cases . . . . . . . 937--956
Shivakumar Kameswaran and
Lorenz T. Biegler Advantages of
Nonlinear-Programming-Based
Methodologies for Inequality
Path-Constrained Optimal Control
Problems --- a Numerical Study . . . . . 957--981
Jan Mayer Symmetric Permutations for $I$-matrices
to Delay and Avoid Small Pivots During
Factorization . . . . . . . . . . . . . 982--996
Assyr Abdulle and
Stephane Cirilli S-ROCK: Chebyshev Methods for Stiff
Stochastic Differential Equations . . . 997--1014
María López-Fernández and
Christian Lubich and
Achim Schädle Adaptive, Fast, and Oblivious
Convolution in Evolution Equations with
Memory . . . . . . . . . . . . . . . . . 1015--1037
Matthias Heinkenschloss and
Danny C. Sorensen and
Kai Sun Balanced Truncation Model Reduction for
a Class of Descriptor Systems with
Application to the Oseen Equations . . . 1038--1063
Gun Srijuntongsiri and
Stephen A. Vavasis A Condition Number Analysis of a
Line-Surface Intersection Algorithm . . 1064--1081
Adrian C. Muresan and
Yvan Notay Analysis of Aggregation-Based Multigrid 1082--1103
T. G. Liu and
W. F. Xie and
B. C. Khoo The Modified Ghost Fluid Method for
Coupling of Fluid and Structure
Constituted with Hydro-Elasto-Plastic
Equation of State . . . . . . . . . . . 1105--1130
Moody T. Chu and
Matthew M. Lin Low-Dimensional Polytope Approximation
and Its Applications to Nonnegative
Matrix Factorization . . . . . . . . . . 1131--1155
Andrea Bonito and
Erik Burman A Continuous Interior Penalty Method for
Viscoelastic Flows . . . . . . . . . . . 1156--1177
Haifeng Qian and
Sachin S. Sapatnekar Stochastic Preconditioning for
Diagonally Dominant Matrices . . . . . . 1178--1204
Jian-Feng Cai and
Raymond Chan and
Lixin Shen and
Zuowei Shen Restoration of Chopped and Nodded Images
by Framelets . . . . . . . . . . . . . . 1205--1227
Jingzhi Li and
Hongyu Liu and
Jun Zou Multilevel Linear Sampling Method for
Inverse Scattering Problems . . . . . . 1228--1250
Pratik Biswas and
Kim-Chuan Toh and
Yinyu Ye A Distributed SDP Approach for
Large-Scale Noisy Anchor-Free Graph
Realization with Applications to
Molecular Conformation . . . . . . . . . 1251--1277
Timo Betcke The Generalized Singular Value
Decomposition and the Method of
Particular Solutions . . . . . . . . . . 1278--1295
Jeroen A. S. Witteveen and
Hester Bijl A Monomial Chaos Approach for Efficient
Uncertainty Quantification in Nonlinear
Problems . . . . . . . . . . . . . . . . 1296--1317
Brett N. Ryland and
Robert I. McLachlan On Multisymplecticity of Partitioned
Runge--Kutta Methods . . . . . . . . . . 1318--1340
Zhiqiang Sheng and
Guangwei Yuan A Nine Point Scheme for the
Approximation of Diffusion Operators on
Distorted Quadrilateral Meshes . . . . . 1341--1361
Ji\vrí Horák and
Gabriel J. Lord and
Mark A. Peletier Numerical Variational Methods Applied to
Cylinder Buckling . . . . . . . . . . . 1362--1386
Andreas Frommer and
Valeria Simoncini Stopping Criteria for Rational Matrix
Functions of Hermitian and Symmetric
Matrices . . . . . . . . . . . . . . . . 1387--1412
Ville Kolehmainen and
Matti Lassas and
Samuli Siltanen Limited Data X-Ray Tomography Using
Nonlinear Evolution Equations . . . . . 1413--1429
Paola Brianzi and
Fabio Di Benedetto and
Claudio Estatico Improvement of Space-Invariant Image
Deblurring by Preconditioned Landweber
Iterations . . . . . . . . . . . . . . . 1430--1458
Maxim A. Olshanskii and
Michele Benzi An Augmented Lagrangian Approach to
Linearized Problems in Hydrodynamic
Stability . . . . . . . . . . . . . . . 1459--1473
Raymond H. Chan and
Ke Chen Fast Multilevel Algorithm for a
Minimization Problem in Impulse Noise
Removal . . . . . . . . . . . . . . . . 1474--1489
A. Fügenschuh and
S. Göttlich and
M. Herty and
A. Klar and
A. Martin A Discrete Optimization Approach to
Large Scale Supply Networks Based on
Partial Differential Equations . . . . . 1490--1507
James W. Demmel and
Osni A. Marques and
Beresford N. Parlett and
Christof Vömel Performance and Accuracy of LAPACK's
Symmetric Tridiagonal Eigensolvers . . . 1508--1526
Subhendu Bikash Hazra Multigrid One-shot Method for
Aerodynamic Shape Optimization . . . . . 1527--1547
Scott P. MacLachlan and
Cornelis W. Oosterlee Algebraic Multigrid Solvers for
Complex-Valued Matrices . . . . . . . . 1548--1571
Yogi A. Erlangga and
Reinhard Nabben Multilevel Projection-Based Nested
Krylov Iteration for Boundary Value
Problems . . . . . . . . . . . . . . . . 1572--1595
Michael Herty Coupling Conditions for Networked
Systems of Euler Equations . . . . . . . 1596--1612
Eddie Wadbro and
Martin Berggren Microwave Tomography Using Topology
Optimization Techniques . . . . . . . . 1613--1633
Qiang Du and
Jian Zhang Adaptive Finite Element Method for a
Phase Field Bending Elasticity Model of
Vesicle Membrane Deformations . . . . . 1634--1657
John D. Pryce and
Emmanuel M. Tadjouddine Fast Automatic Differentiation Jacobians
by Compact LU Factorization . . . . . . 1659--1677
R. Lord and
F. Fang and
F. Bervoets and
C. W. Oosterlee A Fast and Accurate FFT-Based Method for
Pricing Early-Exercise Options under Lévy
Processes . . . . . . . . . . . . . . . 1678--1705
Michael P. Friedlander and
Sven Leyffer Global and Finite Termination of a
Two-Phase Augmented Lagrangian Filter
Method for General Quadratic Programs 1706--1729
Tim Boonen and
Jan Van Lent and
Stefan Vandewalle Local Fourier Analysis of Multigrid for
the Curl-Curl Equation . . . . . . . . . 1730--1755
Mapundi K. Banda and
Mohammed Sea\"\id and
Ioan Teleaga Large-Eddy Simulation of Thermal Flows
based on Discrete-Velocity Models . . . 1756--1777
Santiago Badia and
Annalisa Quaini and
Alfio Quarteroni Splitting Methods Based on Algebraic
Factorization for Fluid-Structure
Interaction . . . . . . . . . . . . . . 1778--1805
J. Peraire and
P.-O. Persson The Compact Discontinuous Galerkin (CDG)
Method for Elliptic Problems . . . . . . 1806--1824
Xin Wen High Order Numerical Quadratures to One
Dimensional Delta Function Integrals . . 1825--1846
I. Yu. Gejadze and
F.-X. Le Dimet and
V. Shutyaev On Analysis Error Covariances in
Variational Data Assimilation . . . . . 1847--1874
Leonidas Linardakis and
Nikos Chrisochoides Graded Delaunay Decoupling Method for
Parallel Guaranteed Quality Planar Mesh
Generation . . . . . . . . . . . . . . . 1875--1891
Joshua D. Griffin and
Tamara G. Kolda and
Robert Michael Lewis Asynchronous Parallel Generating Set
Search for Linearly Constrained
Optimization . . . . . . . . . . . . . . 1892--1924
Weizhu Bao and
Fong Yin Lim Computing Ground States of Spin-1
Bose--Einstein Condensates by the
Normalized Gradient Flow . . . . . . . . 1925--1948
Jari Toivanen Numerical Valuation of European and
American Options under Kou's
Jump-Diffusion Model . . . . . . . . . . 1949--1970
Daniel Y. Le Roux and
Benoit Pouliot Analysis of Numerically Induced
Oscillations in Two-Dimensional
Finite-Element Shallow-Water Models.
Part II: Free Planetary Waves . . . . . 1971--1991
Shi Jin and
Xiaomei Liao and
Xu Yang Computation of Interface Reflection and
Regular or Diffuse Transmission of the
Planar Symmetric Radiative Transfer
Equation with Isotropic Scattering and
Its Diffusion Limit . . . . . . . . . . 1992--2017
Philip M. Gresho and
David F. Griffiths and
David J. Silvester Adaptive Time-Stepping for
Incompressible Flow. Part I: Scalar
Advection-Diffusion . . . . . . . . . . 2018--2054
Peter Minary and
Mark E. Tuckerman and
Glenn J. Martyna Dynamical Spatial Warping: a Novel
Method for the Conformational Sampling
of Biophysical Structure . . . . . . . . 2055--2083
E. Celledoni and
F. Fass\`o and
N. Säfström and
A. Zanna The Exact Computation of the Free Rigid
Body Motion and Its Use in Splitting
Methods . . . . . . . . . . . . . . . . 2084--2112
David I. Ketcheson Highly Efficient Strong
Stability-Preserving Runge--Kutta
Methods with Low-Storage Implementations 2113--2136
Joost Rommes and
Nelson Martins Computing Transfer Function Dominant
Poles of Large-Scale Second-Order
Dynamical Systems . . . . . . . . . . . 2137--2157
Anthony D. Holmes and
Hongtao Yang A Front-Fixing Finite Element Method for
the Valuation of American Options . . . 2158--2180
Wansheng Wang and
Shoufu Li Stability Analysis of $ \Theta $-Methods
for Nonlinear Neutral Functional
Differential Equations . . . . . . . . . 2181--2205
Sonjoy Das and
Roger Ghanem and
James C. Spall Asymptotic Sampling Distribution for
Polynomial Chaos Representation from
Data: a Maximum Entropy and Fisher
Information Approach . . . . . . . . . . 2207--2234
H. De Sterck and
Thomas A. Manteuffel and
Stephen F. McCormick and
Quoc Nguyen and
John Ruge Multilevel Adaptive Aggregation for
Markov Chains, with Application to Web
Ranking . . . . . . . . . . . . . . . . 2235--2262
Shusen Xie and
Seokchan Kim and
Gyungsoo Woo and
Sucheol Yi A Numerical Method for the Generalized
Regularized Long Wave Equation Using a
Reproducing Kernel Function . . . . . . 2263--2285
Jörg Stiller and
Uwe Fladrich Factorization Techniques for Nodal
Spectral Elements in Curved Domains . . 2286--2301
Rafael Bru and
José Marín and
José Mas and
M. T. Ma Balanced Incomplete Factorization . . . 2302--2318
J. E. Aarnes and
Y. Efendiev Mixed Multiscale Finite Element Methods
for Stochastic Porous Media Flows . . . 2319--2339
M. Mönnigmann Efficient Calculation of Bounds on
Spectra of Hessian Matrices . . . . . . 2340--2357
Daniel Ruprecht and
Achim Schädle and
Frank Schmidt and
Lin Zschiedrich Transparent Boundary Conditions for
Time-Dependent Problems . . . . . . . . 2358--2385
I. Babu\vska and
S. A. Sauter Efficient Solution of Anisotropic
Lattice Equations by the Recovery Method 2386--2404
Fabio Dercole BPCONT: An Auto Driver for the
Continuation of Branch Points of
Algebraic and Boundary-Value Problems 2405--2426
Joseph E. Pasciak and
Panayot S. Vassilevski Exact de Rham Sequences of Spaces
Defined on Macro-Elements in Two and
Three Spatial Dimensions . . . . . . . . 2427--2446
Emmanuil H. Georgoulis and
Daniel Loghin Norm Preconditioners for Discontinuous
Galerkin $ h p$-Finite Element Methods 2447--2465
Pierre Degond and
Shi Jin and
Min Tang On the Time Splitting Spectral Method
for the Complex Ginzburg--Landau
Equation in the Large Time and Space
Scale Limit . . . . . . . . . . . . . . 2466--2487
P. Hauret and
J. Salomon and
A. A. Weiss and
B. I. Wohlmuth Energy-Consistent Corotational Schemes
for Frictional Contact Problems . . . . 2488--2511
Won-Ki Jeong and
Ross T. Whitaker A Fast Iterative Method for Eikonal
Equations . . . . . . . . . . . . . . . 2512--2534
Grady B. Wright and
Robert D. Guy and
Aaron L. Fogelson An Efficient and Robust Method for
Simulating Two-Phase Gel Dynamics . . . 2535--2565
J. Baranger and
M. Garbey and
F. Oudin-Dardun The Aitken-Like Acceleration of the
Schwarz Method on Nonuniform Cartesian
Grids . . . . . . . . . . . . . . . . . 2566--2586
Christophe Berthon and
Fabien Marche A Positive Preserving High Order VFRoe
Scheme for Shallow Water Equations: a
Class of Relaxation Schemes . . . . . . 2587--2612
R. Aramini and
M. Brignone and
J. Coyle and
M. Piana Postprocessing of the Linear Sampling
Method by Means of Deformable Models . . 2613--2634
Stephen Joe and
Frances Y. Kuo Constructing Sobol Sequences with Better
Two-Dimensional Projections . . . . . . 2635--2654
You-Wei Wen and
Michael K. Ng and
Wai-Ki Ching Iterative Algorithms Based on Decoupling
of Deblurring and Denoising for Image
Restoration . . . . . . . . . . . . . . 2655--2674
Hari Sundar and
Rahul S. Sampath and
George Biros Bottom-Up Construction and 2:1 Balance
Refinement of Linear Octrees in Parallel 2675--2708
P.-O. Persson and
J. Peraire Newton--GMRES Preconditioning for
Discontinuous Galerkin Discretizations
of the Navier--Stokes Equations . . . . 2709--2733
Mofdi El-Amrani and
Mohammed Seaid A Galerkin-Characteristic Method for
Large-Eddy Simulation of Turbulent Flow
and Heat Transfer . . . . . . . . . . . 2734--2754
Hirofumi Tomita and
Koji Goto and
Masaki Satoh A New Approach to Atmospheric General
Circulation Model: Global Cloud
Resolving Model NICAM and its
Computational Performance . . . . . . . 2755--2776
Markus Brenk and
Hans-Joachim Bungartz and
Miriam Mehl and
Ioan L. Muntean and
Tobias Neckel and
Tobias Weinzierl Numerical Simulation of Particle
Transport in a Drift Ratchet . . . . . . 2777--2798
A. M. Tartakovsky and
D. M. Tartakovsky and
T. D. Scheibe and
P. Meakin Hybrid Simulations of Reaction-Diffusion
Systems in Porous Media . . . . . . . . 2799--2816
Stefano Micheletti and
Simona Perotto Output Functional Control for Nonlinear
Equations Driven by Anisotropic Mesh
Adaption: The Navier--Stokes Equations 2817--2854
Takumi Washio and
Jun-ichi Okada and
Toshiaki Hisada A Parallel Multilevel Technique for
Solving the Bidomain Equation on a Human
Heart with Purkinje Fibers and a Torso
Model . . . . . . . . . . . . . . . . . 2855--2881
Oliver Röhrle and
John B. Davidson and
Andrew J. Pullan Bridging Scales: a Three-Dimensional
Electromechanical Finite Element Model
of Skeletal Muscle . . . . . . . . . . . 2882--2904
H. Martin Bücker and
Roland Beucker and
André Rupp Parallel Minimum $p$-Norm Solution of
the Neuromagnetic Inverse Problem for
Realistic Signals Using Exact
Hessian-Vector Products . . . . . . . . 2905--2921
Matthias K. Gobbert Long-Time Simulations on High Resolution
Meshes to Model Calcium Waves in a Heart
Cell . . . . . . . . . . . . . . . . . . 2922--2947
D. Pardo and
L. Demkowicz and
C. Torres-Verdín and
C. Michler PML Enhanced with a Self-Adaptive
Goal-Oriented $ h p$-Finite Element
Method: Simulation of Through-Casing
Borehole Resistivity Measurements . . . 2948--2964
Wolfgang Bangerth A Framework for the Adaptive Finite
Element Solution of Large-Scale Inverse
Problems . . . . . . . . . . . . . . . . 2965--2989
P. Deuflhard and
W. Huisinga and
T. Jahnke and
M. Wulkow Adaptive Discrete Galerkin Methods
Applied to the Chemical Master Equation 2990--3011
Eldad Haber and
Stefan Heldmann and
Jan Modersitzki Adaptive Mesh Refinement for
Nonparametric Image Registration . . . . 3012--3027
Günay Do\ugan and
Pedro Morin and
Ricardo H. Nochetto A Variational Shape Optimization
Approach for Image Segmentation with a
Mumford--Shah Functional . . . . . . . . 3028--3049
Cosmina Hogea and
Christos Davatzikos and
George Biros Brain--Tumor Interaction Biophysical
Models for Medical Image Registration 3050--3072
Mani Mehra and
Nicholas K.-R. Kevlahan An Adaptive Multilevel Wavelet Solver
for Elliptic Equations on an Optimal
Spherical Geodesic Grid . . . . . . . . 3073--3086
M. C. Lee and
Raymond K. W. Chan and
Don A. Adjeroh Fast Three-Dimensional Discrete Cosine
Transform . . . . . . . . . . . . . . . 3087--3107
Tetsu Narumi and
Shun Kameoka and
Makoto Taiji and
Kenji Yasuoka Accelerating Molecular Dynamics
Simulations on PlayStation 3 Platform
Using Virtual-GRAPE Programming Model 3108--3125
Rex A. Kerr and
Thomas M. Bartol and
Boris Kaminsky and
Markus Dittrich and
Jen-Chien Jack Chang and
Scott B. Baden and
Terrence J. Sejnowski and
Joel R. Stiles Fast Monte Carlo Simulation Methods for
Biological Reaction-Diffusion Systems in
Solution and on Surfaces . . . . . . . . 3126--3149
K. Barmak and
M. Emelianenko and
D. Golovaty and
D. Kinderlehrer and
S. Ta'asan Towards a Statistical Theory of Texture
Evolution in Polycrystals . . . . . . . 3150--3169
Jianguo Xin and
Michael V. Klibanov Numerical Solution of an Inverse Problem
of Imaging of Antipersonnel Land Mines
By the Globally Convergent
Convexification Algorithm . . . . . . . 3170--3196
Stefan M. Wild and
Rommel G. Regis and
Christine A. Shoemaker ORBIT: Optimization by Radial Basis
Function Interpolation in Trust-Regions 3197--3219
Subhendu Bikash Hazra Multigrid One-Shot Method for State
Constrained Aerodynamic Shape
Optimization . . . . . . . . . . . . . . 3220--3248
Maka Karalashvili and
Sven Groß and
Adel Mhamdi and
Arnold Reusken and
Wolfgang Marquardt Incremental Identification of Transport
Coefficients in Convection-Diffusion
Systems . . . . . . . . . . . . . . . . 3249--3269
T. Bui-Thanh and
K. Willcox and
O. Ghattas Model Reduction for Large-Scale Systems
with High-Dimensional Parametric Input
Space . . . . . . . . . . . . . . . . . 3270--3288
Chris Johnson and
David Keyes and
Ulrich Ruede Special Issue on Computational Science
and Engineering . . . . . . . . . . . . vii--vii
Jörg Kampen and
Anastasia Kolodko and
John Schoenmakers Monte Carlo Greeks for Financial
Products via Approximative Transition
Densities . . . . . . . . . . . . . . . 1--22
Sadegh Jokar and
Marc E. Pfetsch Exact and Approximate Sparse Solutions
of Underdetermined Linear Equations . . 23--44
Anna Gambin and
Piotr Krzy anowski and
Piotr Pokarowski Aggregation Algorithms for Perturbed
Markov Chains with Applications to
Networks Modeling . . . . . . . . . . . 45--73
H. Huang and
U. Ascher Surface Mesh Smoothing, Regularization,
and Feature Detection . . . . . . . . . 74--93
Anders Andersson Schwarz--Christoffel Mappings for
Nonpolygonal Regions . . . . . . . . . . 94--111
Tomoya Takeuchi and
Masahiro Yamamoto Tikhonov Regularization by a Reproducing
Kernel Hilbert Space for the Cauchy
Problem for an Elliptic Equation . . . . 112--142
Marzio Sala and
Raymond S. Tuminaro A New Petrov--Galerkin Smoothed
Aggregation Preconditioner for
Nonsymmetric Linear Systems . . . . . . 143--166
Roy W. Melton and
Linda M. Wills An Analysis of the Spectral Transform
Operations in Climate and Weather Models 167--188
Siegfried M. Rump and
Takeshi Ogita and
Shin'ichi Oishi Accurate Floating-Point Summation. Part
I: Faithful Rounding . . . . . . . . . . 189--224
John W. Barrett and
Harald Garcke and
Robert Nürnberg Parametric Approximation of Willmore
Flow and Related Geometric Evolution
Equations . . . . . . . . . . . . . . . 225--253
Louis A. Romero and
Jeff Mason and
David M. Day The Large Equal Radius Conditions and
Time of Arrival Geolocation Algorithms 254--272
Sookkyung Lim and
Anca Ferent and
X. Sheldon Wang and
Charles S. Peskin Dynamics of a Closed Rod with Twist and
Bend in Fluid . . . . . . . . . . . . . 273--302
Matania Ben-Artzi and
Jean-Pierre Croisille and
Dalia Fishelov A Fast Direct Solver for the Biharmonic
Problem in a Rectangular Grid . . . . . 303--333
Mohammed Lemou and
Luc Mieussens A New Asymptotic Preserving Scheme Based
on Micro-Macro Formulation for Linear
Kinetic Equations in the Diffusion Limit 334--368
Santi S. Adavani and
George Biros Multigrid Algorithms for Inverse
Problems with Linear Parabolic PDE
Constraints . . . . . . . . . . . . . . 369--397
Ping Lin and
Jian-Guo Liu and
Xiliang Lu Long Time Numerical Solution of the
Navier--Stokes Equations Based on a
Sequential Regularization Formulation 398--419
Luca F. Pavarino and
Simone Scacchi Multilevel Additive Schwarz
Preconditioners for the Bidomain
Reaction-Diffusion System . . . . . . . 420--443
Manuel J. Castro and
Juan Antonio López and
Carlos Parés Finite Volume Simulation of the
Geostrophic Adjustment in a Rotating
Shallow-Water System . . . . . . . . . . 444--477
Larisa Beilina and
Michael V. Klibanov A Globally Convergent Numerical Method
for a Coefficient Inverse Problem . . . 478--509
David Elliott and
Barbara M. Johnston and
Peter R. Johnston Clenshaw--Curtis and Gauss--Legendre
Quadrature for Certain Boundary Element
Integrals . . . . . . . . . . . . . . . 510--530
Virgile Rostand and
Daniel Y. Le Roux and
Graham Carey Kernel Analysis of the Discretized
Finite Difference and Finite Element
Shallow-Water Models . . . . . . . . . . 531--556
Pavel B. Bochev and
Jonathan J. Hu and
Christopher M. Siefert and
Raymond S. Tuminaro An Algebraic Multigrid Approach Based on
a Compatible Gauge Reformulation of
Maxwell's Equations . . . . . . . . . . 557--583
Jing-Mei Qiu and
Chi-Wang Shu Convergence of High Order Finite Volume
Weighted Essentially Nonoscillatory
Scheme and Discontinuous Galerkin Method
for Nonconvex Conservation Laws . . . . 584--607
Lizhen Qin and
Xuejun Xu Optimized Schwarz Methods with Robin
Transmission Conditions for Parabolic
Problems . . . . . . . . . . . . . . . . 608--623
A. J. Laub and
J. Xia Statistical Condition Estimation for the
Roots of Polynomials . . . . . . . . . . 624--643
Thomas K. Huckle Compact Fourier Analysis for Designing
Multigrid Methods . . . . . . . . . . . 644--666
Grace Hechme and
Yuri M. Nechepurenko and
Miloud Sadkane Efficient Methods for Computing Spectral
Projectors for Linearized Hydrodynamic
Equations . . . . . . . . . . . . . . . 667--686
Shi Shu and
Ivo Babu\vska and
Yingxiong Xiao and
Jinchao Xu and
Ludmil Zikatanov Multilevel Preconditioning Methods for
Discrete Models of Lattice Block
Materials . . . . . . . . . . . . . . . 687--707
Ralf Hartmann Multitarget Error Estimation and
Adaptivity in Aerodynamic Flow
Simulations . . . . . . . . . . . . . . 708--731
Lourenço Beirão da Veiga and
Gianmarco Manzini A Higher-Order Formulation of the
Mimetic Finite Difference Method . . . . 732--760
G. W. Stewart Block Gram--Schmidt Orthogonalization 761--775
Ulrike Baur and
Peter Benner Gramian-Based Model Reduction for
Data-Sparse Systems . . . . . . . . . . 776--798
Laek S. Andallah and
Hans Babovsky A Discrete Boltzmann Equation Based on a
Cub-Octahedron in $ \mathbb {R}^3 $ . . 799--825
F. Fang and
C. W. Oosterlee A Novel Pricing Method for European
Options Based on Fourier-Cosine Series
Expansions . . . . . . . . . . . . . . . 826--848
Kristian B. Òlgaard and
Anders Logg and
Garth N. Wells Automated Code Generation for
Discontinuous Galerkin Methods . . . . . 849--864
Petar Liovic and
Djamel Lakehal A Newton--Krylov Solver for
Remapping-Based Volume-of-Fluid Methods 865--889
Ewout van den Berg and
Michael P. Friedlander Probing the Pareto Frontier for Basis
Pursuit Solutions . . . . . . . . . . . 890--912
Mi-Young Kim Discontinuous-Continuous Galerkin
Methods for a Structured Model of a
Biological System . . . . . . . . . . . 913--938
Olaf Schenk and
Andreas Wächter and
Martin Weiser Inertia-Revealing Preconditioning For
Large-Scale Nonconvex Constrained
Optimization . . . . . . . . . . . . . . 939--960
L. Stals and
R. Numata and
R. Ball Stability Analysis of Time Stepping for
Prolonged Plasma Fluid Simulations . . . 961--986
Sasanka Are and
Markos A. Katsoulakis and
Petr Plechá\vc and
Luc Rey-Bellet Multibody Interactions in
Coarse-Graining Schemes for Extended
Systems . . . . . . . . . . . . . . . . 987--1015
Roland Pulch Variational Methods for Solving Warped
Multirate Partial Differential Algebraic
Equations . . . . . . . . . . . . . . . 1016--1034
Peter Sonneveld and
Martin B. van Gijzen IDR($s$): a Family of Simple and Fast
Algorithms for Solving Large
Nonsymmetric Systems of Linear Equations 1035--1062
Britta Heubeck and
Christoph Pflaum and
Gunther Steinle New Finite Elements for Large-Scale
Simulation of Optical Waves . . . . . . 1063--1081
Leonardo E. Figueroa and
Gabriel N. Gatica and
Antonio Márquez Augmented Mixed Finite Element Methods
for the Stationary Stokes Equations . . 1082--1119
Stephan Gadau and
Ansgar Jüngel A Three-Dimensional Mixed Finite-Element
Approximation of the Semiconductor
Energy-Transport Equations . . . . . . . 1120--1140
Graeme D. Chalmers and
Desmond J. Higham Asymptotic Stability of a Jump-Diffusion
Equation and Its Numerical Approximation 1141--1155
Anthony M. Castaldo and
R. Clint Whaley and
Anthony T. Chronopoulos Reducing Floating Point Error in Dot
Product Using the Superblock Family of
Algorithms . . . . . . . . . . . . . . . 1156--1174
Thomas F. Coleman and
Wei Xu Fast (Structured) Newton Computations 1175--1191
Helmer André Friis and
Michael G. Edwards and
Johannes Mykkeltveit Symmetric Positive Definite
Flux-Continuous Full-Tensor
Finite-Volume Schemes on Unstructured
Cell-Centered Triangular Grids . . . . . 1192--1220
S. Jain and
P. Tsiotras and
H.-M. Zhou A Hierarchical Multiresolution Adaptive
Mesh Refinement for the Solution of
Evolution PDEs . . . . . . . . . . . . . 1221--1248
Yan Xu and
Chi-Wang Shu Local Discontinuous Galerkin Method for
the Hunter--Saxton Equation and Its
Zero-Viscosity and Zero-Dispersion
Limits . . . . . . . . . . . . . . . . . 1249--1268
Siegfried M. Rump and
Takeshi Ogita and
Shin'ichi Oishi Accurate Floating-Point Summation. Part
II: Sign, $K$-Fold Faithful and Rounding
to Nearest . . . . . . . . . . . . . . . 1269--1302
Shi Jin and
Hao Wu and
Zhongyi Huang A Hybrid Phase-Flow Method for
Hamiltonian Systems with Discontinuous
Hamiltonians . . . . . . . . . . . . . . 1303--1321
M. A. Botchev and
J. G. Verwer Numerical Integration of Damped Maxwell
Equations . . . . . . . . . . . . . . . 1322--1346
K. Gärtner Existence of Bounded Discrete
Steady-State Solutions of the Van
Roosbroeck System on Boundary Conforming
Delaunay Grids . . . . . . . . . . . . . 1347--1362
Robert D. Skeel What Makes Molecular Dynamics Work? . . 1363--1378
Stefano Trazzi and
Lorenzo Pareschi and
Bernt Wennberg Adaptive and Recursive Time Relaxed
Monte Carlo Methods for Rarefied Gas
Dynamics . . . . . . . . . . . . . . . . 1379--1398
Rolf Krause A Nonsmooth Multiscale Method for
Solving Frictional Two-Body Contact
Problems in $2$D and $3$D with Multigrid
Efficiency . . . . . . . . . . . . . . . 1399--1423
O. G. Ernst and
C. E. Powell and
D. J. Silvester and
E. Ullmann Efficient Solvers for a Linear
Stochastic Galerkin Mixed Formulation of
Diffusion Problems with Random Data . . 1424--1447
Snorre H. Christiansen Constraint Preserving Schemes for Some
Gauge Invariant Wave Equations . . . . . 1448--1469
M. Amara and
D. Capatina and
L. Lizaik Coupling of Darcy--Forchheimer and
Compressible Navier--Stokes Equations
with Heat Transfer . . . . . . . . . . . 1470--1499
M. Huber and
J. Schöberl and
A. Sinwel and
S. Zaglmayr Simulation of Diffraction in Periodic
Media with a Coupled Finite Element and
Plane Wave Approach . . . . . . . . . . 1500--1517
Guohua Zhou and
Scott R. Fulton Fourier Analysis of Multigrid Methods on
Hexagonal Grids . . . . . . . . . . . . 1518--1538
Matthias Grajewski and
Michael Köster and
Stefan Turek Mathematical and Numerical Analysis of a
Robust and Efficient Grid Deformation
Method in the Finite Element Context . . 1539--1557
P. G. Gruber and
J. Valdman Solution of One-Time-Step Problems in
Elastoplasticity by a Slant Newton
Method . . . . . . . . . . . . . . . . . 1558--1580
Marc Alexander Schweitzer An Algebraic Treatment of Essential
Boundary Conditions in the
Particle--Partition of Unity Method . . 1581--1602
Rémi Abgrall and
Smadar Karni Two-Layer Shallow Water System: a
Relaxation Approach . . . . . . . . . . 1603--1627
M. A. Gomes-Ruggiero and
J. M. Martínez and
S. A. Santos Spectral Projected Gradient Method with
Inexact Restoration for Minimization
with Nonconvex Constraints . . . . . . . 1628--1652
M. P. Calvo and
J. M. Sanz-Serna Instabilities and Inaccuracies in the
Integration of Highly Oscillatory
Problems . . . . . . . . . . . . . . . . 1653--1677
Lexing Ying Sparse Fourier Transform via Butterfly
Algorithm . . . . . . . . . . . . . . . 1678--1694
Mohamed M. S. Nasser Numerical Conformal Mapping via a
Boundary Integral Equation with the
Generalized Neumann Kernel . . . . . . . 1695--1715
Amparo Gil and
Javier Segura and
Nico M. Temme Computing the Conical Function $ P^{\mu
}_{-1 / 2 + i \tau }(x) $ . . . . . . . 1716--1741
Alexander Kurganov and
Guergana Petrova Central-Upwind Schemes for Two-Layer
Shallow Water Equations . . . . . . . . 1742--1773
Stefan Engblom and
Lars Ferm and
Andreas Hellander and
Per Lötstedt Simulation of Stochastic
Reaction-Diffusion Processes on
Unstructured Meshes . . . . . . . . . . 1774--1797
Zhijun Tan and
D. V. Le and
K. M. Lim and
B. C. Khoo An Immersed Interface Method for the
Incompressible Navier--Stokes Equations
with Discontinuous Viscosity Across the
Interface . . . . . . . . . . . . . . . 1798--1819
Steffen Börm Construction of Data-Sparse $ \mathcal
{H}^2 $-Matrices by Hierarchical
Compression . . . . . . . . . . . . . . 1820--1839
Gregory Beylkin and
Jochen Garcke and
Martin J. Mohlenkamp Multivariate Regression and Machine
Learning with Sums of Separable
Functions . . . . . . . . . . . . . . . 1840--1857
Luigi Brugnano and
Vincenzo Casulli Iterative Solution of Piecewise Linear
Systems and Applications to Flows in
Porous Media . . . . . . . . . . . . . . 1858--1873
Alexander V. Shapeev and
Ping Lin An Asymptotic Fitting Finite Element
Method with Exponential Mesh Refinement
for Accurate Computation of Corner
Eddies in Viscous Flows . . . . . . . . 1874--1900
Wanho Lee and
Eunok Jung and
Sunmi Lee Simulations of Valveless Pumping in an
Open Elastic Tube . . . . . . . . . . . 1901--1925
Sebastiano Boscarino and
Giovanni Russo On a Class of Uniformly Accurate IMEX
Runge--Kutta Schemes and Applications to
Hyperbolic Systems with Relaxation . . . 1926--1945
Philipp Stumm and
Andrea Walther Multi-Stage Approaches for Optimal
Offline Checkpointing . . . . . . . . . 1946--1967
Tah\^\ir Malas and
Levent Gürel Accelerating the Multilevel Fast
Multipole Algorithm with the
Sparse-Approximate-Inverse (SAI)
Preconditioning . . . . . . . . . . . . 1968--1984
Julien Diaz and
Marcus J. Grote Energy Conserving Explicit Local Time
Stepping for Second-Order Wave Equations 1985--2014
A. M. Blokhin and
A. S. Ibragimova Numerical Method for $2$D Simulation of
a Silicon MESFET with a Hydrodynamical
Model Based on the Maximum Entropy
Principle . . . . . . . . . . . . . . . 2015--2046
Pierre Weiss and
Laure Blanc-Féraud and
Gilles Aubert Efficient Schemes for Total Variation
Minimization Under Constraints in Image
Processing . . . . . . . . . . . . . . . 2047--2080
F. J. Gaspar and
J. L. Gracia and
F. J. Lisbona Fourier Analysis for Multigrid Methods
on Triangular Grids . . . . . . . . . . 2081--2102
Hale Erten and
Alper Üngör Quality Triangulations with Locally
Optimal Steiner Points . . . . . . . . . 2103--2130
Inmaculada Higueras and
José Miguel Mantas and
Teo Roldán Design and Implementation of Predictors
for Additive Semi-Implicit Runge--Kutta
Methods . . . . . . . . . . . . . . . . 2131--2150
Jens Keiner Computing with Expansions in Gegenbauer
Polynomials . . . . . . . . . . . . . . 2151--2171
A. Borz\`\i and
G. von Winckel Multigrid Methods and Sparse-Grid
Collocation Techniques for Parabolic
Optimal Control Problems with Random
Coefficients . . . . . . . . . . . . . . 2172--2192
V. Dolean and
M. J. Gander and
L. Gerardo-Giorda Optimized Schwarz Methods for Maxwell's
Equations . . . . . . . . . . . . . . . 2193--2213
Gilles Chabert and
Luc Jaulin A Priori Error Analysis and Spring
Arithmetic . . . . . . . . . . . . . . . 2214--2230
Marco Restelli and
Francis X. Giraldo A Conservative Discontinuous Galerkin
Semi-Implicit Formulation for the
Navier--Stokes Equations in
Nonhydrostatic Mesoscale Modeling . . . 2231--2257
Oliver Nemitz and
Michael Bang Nielsen and
Martin Rumpf and
Ross Whitaker Finite Element Methods on Very Large,
Dynamic Tubular Grid Encoded Implicit
Surfaces . . . . . . . . . . . . . . . . 2258--2281
Junichi Imai and
Ken Seng Tan An Accelerating Quasi-Monte Carlo Method
for Option Pricing Under the Generalized
Hyperbolic Lévy Process . . . . . . . . . 2282--2302
J. J. Heys and
E. Lee and
T. A. Manteuffel and
S. F. McCormick and
J. W. Ruge Enhanced Mass Conservation in
Least-Squares Methods for Navier--Stokes
Equations . . . . . . . . . . . . . . . 2303--2321
Xiaoxia Guo and
Fang Li and
Michael K. Ng A Fast $ \ell_1$-TV Algorithm for Image
Restoration . . . . . . . . . . . . . . 2322--2341
Rodrigo B. Platte and
Louis F. Rossi and
Travis B. Mitchell Using Global Interpolation to Evaluate
the Biot--Savart Integral for Deformable
Elliptical Gaussian Vortex Elements . . 2342--2360
Allan R. Willms Bounding Data with a Piecewise Linear
Band . . . . . . . . . . . . . . . . . . 2361--2367
Amnon J. Meir and
Necibe Tuncer Radially Projected Finite Elements . . . 2368--2385
Nigam Chandra Parida and
Soumyendu Raha The $ \alpha $-Method Direct
Transcription in Path Constrained
Dynamic Optimization . . . . . . . . . . 2386--2417
R. Abgrall Construction of Simple, Stable, and
Convergent High Order Schemes for Steady
First Order Hamilton--Jacobi Equations 2419--2446
Mark Sussman and
Mitsuhiro Ohta A Stable and Efficient Method for
Treating Surface Tension in
Incompressible Two-Phase Flow . . . . . 2447--2471
Tyson Brochu and
Robert Bridson Robust Topological Operations for
Dynamic Explicit Surfaces . . . . . . . 2472--2493
Sabine Le Borne Preconditioned Nullspace Method for the
Two-Dimensional Oseen Problem . . . . . 2494--2509
D. Wee and
Y. M. Marzouk and
F. Schlegel and
A. F. Ghoniem Convergence Characteristics and
Computational Cost of Two Algebraic
Kernels in Vortex Methods with a
Tree-Code Algorithm . . . . . . . . . . 2510--2527
Shuyu Sun and
Jiangguo Liu A Locally Conservative Finite Element
Method Based on Piecewise Constant
Enrichment of the Continuous Galerkin
Method . . . . . . . . . . . . . . . . . 2528--2548
Qiqi Wang and
Parviz Moin and
Gianluca Iaccarino Minimal Repetition Dynamic Checkpointing
Algorithm for Unsteady Adjoint
Calculation . . . . . . . . . . . . . . 2549--2567
R. Ewing and
O. Iliev and
R. Lazarov and
I. Rybak and
J. Willems A Simplified Method for Upscaling
Composite Materials with High Contrast
of the Conductivity . . . . . . . . . . 2568--2586
Svend Tollak Munkejord and
Steinar Evje and
Tore Flåtten A MUSTA Scheme for a Nonconservative
Two-Fluid Model . . . . . . . . . . . . 2587--2622
Amel Sboui and
Jérôme Jaffré and
Jean Roberts A Composite Mixed Finite Element for
Hexahedral Grids . . . . . . . . . . . . 2623--2645
Kazufumi Ito and
Jari Toivanen Lagrange Multiplier Approach with
Optimized Finite Difference Stencils for
Pricing American Options under
Stochastic Volatility . . . . . . . . . 2646--2664
J. J. Liu and
M. Sini On the Accuracy of the Numerical
Detection of Complex Obstacles from Far
Field Data Using the Probe Method . . . 2665--2687
Jocelyne Erhel and
Jean-Raynald de Dreuzy and
Baptiste Poirriez Flow Simulation in Three-Dimensional
Discrete Fracture Networks . . . . . . . 2688--2705
A. Katharina Wilkins and
Bruce Tidor and
Jacob White and
Paul I. Barton Sensitivity Analysis for Oscillating
Dynamical Systems . . . . . . . . . . . 2706--2732
Ian G. Grooms and
Robert Michael Lewis and
Michael W. Trosset Molecular Embedding via a Second Order
Dissimilarity Parameterized Approach . . 2733--2756
Alexei Lozinski and
Marco Picasso and
Virabouth Prachittham An Anisotropic Error Estimator for the
Crank--Nicolson Method: Application to a
Parabolic Problem . . . . . . . . . . . 2757--2783
Junping Wang and
Yanqiu Wang and
Xiu Ye A Robust Numerical Method for Stokes
Equations Based on Divergence-Free $
H({\rm div}) $ Finite Element Methods 2784--2802
B. Lee Guidance for Choosing Multigrid
Preconditioners for Systems of Elliptic
Partial Differential Equations . . . . . 2803--2831
James W. Demmel and
Mark Hoemmen and
Yozo Hida and
E. Jason Riedy Nonnegative Diagonals and High
Performance on Low-Profile Matrices from
Householder QR . . . . . . . . . . . . . 2832--2841
Junfeng Yang and
Yin Zhang and
Wotao Yin An Efficient TVL1 Algorithm for
Deblurring Multichannel Images Corrupted
by Impulsive Noise . . . . . . . . . . . 2842--2865
Fayssal Benkhaldoun and
Slah Sahmim and
Mohammed Seaid Solution of the Sediment Transport
Equations Using a Finite Volume Method
Based on Sign Matrix . . . . . . . . . . 2866--2889
Romain de Loubens and
Amir Riaz and
Hamdi A. Tchelepi Error Analysis of an Adaptive Implicit
Scheme for Hyperbolic Conservation Laws 2890--2914
Zhiqiang Sheng and
Jingyan Yue and
Guangwei Yuan Monotone Finite Volume Schemes of
Nonequilibrium Radiation Diffusion
Equations on Distorted Meshes . . . . . 2915--2934
D. Estep and
A. Målqvist and
S. Tavener Nonparametric Density Estimation for
Randomly Perturbed Elliptic Problems I:
Computational Methods, \em A Posteriori
Analysis, and Adaptive Error Control . . 2935--2959
Michael M. Wolf and
Michael T. Heath Combinatorial Optimization of
Matrix-Vector Multiplication in Finite
Element Assembly . . . . . . . . . . . . 2960--2980
Yong-Kang Zhu and
Wayne B. Hayes Correct Rounding and a Hybrid Approach
to Exact Floating-Point Summation . . . 2981--3001
B. N. Khoromskij and
V. Khoromskaia Multigrid Accelerated Tensor
Approximation of Function Related
Multidimensional Arrays . . . . . . . . 3002--3026
Erwan Faou and
Vasile Gradinaru and
Christian Lubich Computing Semiclassical Quantum Dynamics
with Hagedorn Wavepackets . . . . . . . 3027--3041
Jian Zhang and
Qiang Du Numerical Studies of Discrete
Approximations to the Allen--Cahn
Equation in the Sharp Interface Limit 3042--3063
Núria Parés and
Pedro Díez and
Antonio Huerta Exact Bounds for Linear Outputs of the
Advection-Diffusion-Reaction Equation
Using Flux-Free Error Estimates . . . . 3064--3089
Christian Clason and
Peter Hepperger A Forward Approach to Numerical Data
Assimilation . . . . . . . . . . . . . . 3090--3115
Andrea Villa Convergence of Weakly Imposed Boundary
Conditions: The One-Dimensional
Hyperbolic Case . . . . . . . . . . . . 3116--3127
A. N. Yzelman and
Rob H. Bisseling Cache-Oblivious Sparse Matrix--Vector
Multiplication by Using Sparse Matrix
Partitioning Methods . . . . . . . . . . 3128--3154
Ana Alonso Rodríguez and
Rafael Vázquez Hernández Iterative Methods for the Saddle-Point
Problem Arising from the $ {\bf H}_C /
{\bf E}_I $ Formulation of the Eddy
Current Problem . . . . . . . . . . . . 3155--3178
D. Kandaswamy and
T. Blu and
D. Van De Ville Analytic Sensing: Noniterative Retrieval
of Point Sources from Boundary
Measurements . . . . . . . . . . . . . . 3179--3194
Nicholas Hale and
T. Wynn Tee Conformal Maps to Multiply Slit Domains
and Applications . . . . . . . . . . . . 3195--3215
Tahar Amari and
Cédric Boulbe and
Tahar Zam\`ene Boulmezaoud Computing Beltrami Fields . . . . . . . 3217--3254
David L. Chopp Another Look at Velocity Extensions in
the Level Set Method . . . . . . . . . . 3255--3273
Phaedon-Stelios Koutsourelakis Accurate Uncertainty Quantification
Using Inaccurate Computational Models 3274--3300
Daniel Appelö and
Thomas Hagstrom A General Perfectly Matched Layer Model
for Hyperbolic-Parabolic Systems . . . . 3301--3323
R. Bermejo and
J. Carpio A Space--time Adaptive Finite Element
Algorithm Based on Dual Weighted
Residual Methodology for Parabolic
Equations . . . . . . . . . . . . . . . 3324--3355
Tetyana Vdovina and
Susan E. Minkoff and
Sean M. L. Griffith A Two-Scale Solution Algorithm for the
Elastic Wave Equation . . . . . . . . . 3356--3386
Andrey N. Chernikov and
Nikos P. Chrisochoides Generalized Two-Dimensional Delaunay
Mesh Refinement . . . . . . . . . . . . 3387--3403
Joseph M. Teran and
Charles S. Peskin Tether Force Constraints in Stokes Flow
by the Immersed Boundary Method on a
Periodic Domain . . . . . . . . . . . . 3404--3416
Yogi A. Erlangga and
Reinhard Nabben Algebraic Multilevel Krylov Methods . . 3417--3437
C. J. Budd and
J. F. Williams Moving Mesh Generation Using the
Parabolic Monge--Amp\`ere Equation . . . 3438--3465
Siegfried M. Rump Ultimately Fast Accurate Summation . . . 3466--3502
F. Prill and
M. Luká\vcová-Medvi ová and
R. Hartmann Smoothed Aggregation Multigrid for the
Discontinuous Galerkin Method . . . . . 3503--3528
Jacob G. Martin and
E. Rodney Canfield Ranks and Representations for Spectral
Graph Bisection . . . . . . . . . . . . 3529--3546
Johannes Tausch and
Alexander Weckiewicz Multidimensional Fast Gauss Transforms
by Chebyshev Expansions . . . . . . . . 3547--3565
Ilan Degani and
Antonella Zanna and
Lene Sælen and
Raymond Nepstad Quantum Control With Piecewise Constant
Control Functions . . . . . . . . . . . 3566--3594
Véronique Martin Schwarz Waveform Relaxation Algorithms
for the Linear Viscous Equatorial
Shallow Water Equations . . . . . . . . 3595--3625
Zeyao Mo and
Aiqing Zhang and
Gabriel Wittum Scalable Heuristic Algorithms for the
Parallel Execution of Data Flow Acyclic
Digraphs . . . . . . . . . . . . . . . . 3626--3642
Roman Wienands and
Irad Yavneh Collocation Coarse Approximation in
Multigrid . . . . . . . . . . . . . . . 3643--3660
Danail Vassilev and
Ivan Yotov Coupling Stokes--Darcy Flow with
Transport . . . . . . . . . . . . . . . 3661--3684
Weizhu Bao and
Hailiang Li and
Jie Shen A Generalized-Laguerre--Fourier--Hermite
Pseudospectral Method for Computing the
Dynamics of Rotating Bose--Einstein
Condensates . . . . . . . . . . . . . . 3685--3711
Donald Goldfarb and
Wotao Yin Parametric Maximum Flow Algorithms for
Fast Total Variation Minimization . . . 3712--3743
I. V. Oseledets and
E. E. Tyrtyshnikov Breaking the Curse of Dimensionality, Or
How to Use SVD in Many Dimensions . . . 3744--3759
Vladimir Druskin and
Leonid Knizhnerman and
Mikhail Zaslavsky Solution of Large Scale Evolutionary
Problems Using Rational Krylov Subspaces
with Optimized Shifts . . . . . . . . . 3760--3780
Matthias Bollhöfer and
Marcus J. Grote and
Olaf Schenk Algebraic Multilevel Preconditioner for
the Helmholtz Equation in Heterogeneous
Media . . . . . . . . . . . . . . . . . 3781--3805
Chantal Landry and
Alexandre Caboussat and
Ernst Hairer Solving Optimization-Constrained
Differential Equations with
Discontinuity Points, with Application
to Atmospheric Chemistry . . . . . . . . 3806--3826
Bernardo Cockburn and
Bo Dong and
Johnny Guzmán and
Marco Restelli and
Riccardo Sacco A Hybridizable Discontinuous Galerkin
Method for Steady-State
Convection-Diffusion-Reaction Problems 3827--3846
Jing-Rebecca Li and
Leslie Greengard High Order Accurate Methods for the
Evaluation of Layer Heat Potentials . . 3847--3860
M. Munteanu and
L. F. Pavarino and
S. Scacchi A Scalable Newton--Krylov--Schwarz
Method for the Bidomain
Reaction-Diffusion System . . . . . . . 3861--3883
Emmanuel Perrey-Debain and
I. David Abrahams A General Asymptotic Expansion Formula
for Integrals Involving High-Order
Orthogonal Polynomials . . . . . . . . . 3884--3904
Jorge Delgado and
J. M. Peña Running Relative Error for the
Evaluation of Polynomials . . . . . . . 3905--3921
J. M. Greenberg and
Laurent Gosse Chirplet Approximation of Band-Limited,
Real Signals Made Easy . . . . . . . . . 3922--3945
Farid Bozorgnia Numerical Algorithm for Spatial
Segregation of Competitive Systems . . . 3946--3958
Piotr P. Grinevich and
Maxim A. Olshanskii An Iterative Method for the Stokes-Type
Problem with Variable Viscosity . . . . 3959--3978
Aziz Madrane and
Rémi Vaillancourt Three-Dimensional Adaptive Central
Schemes on Unstructured Staggered Grids 3979--3999
Yanwei Wang and
Jeff Orchard Fast Discrete Orthonormal Stockwell
Transform . . . . . . . . . . . . . . . 4000--4012
Jingzhi Li and
Hongyu Liu and
Jun Zou Strengthened Linear Sampling Method with
a Reference Ball . . . . . . . . . . . . 4013--4040
Matteo Astorino and
Franz Chouly and
Miguel A. Fernández Robin Based Semi-Implicit Coupling in
Fluid-Structure Interaction: Stability
Analysis and Numerics . . . . . . . . . 4041--4065
Donna A. Calhoun and
Christiane Helzel A Finite Volume Method for Solving
Parabolic Equations on Logically
Cartesian Curved Surface Meshes . . . . 4066--4099
Blaise Bourdin and
Dorin Bucur and
Édouard Oudet Optimal Partitions for Eigenvalues . . . 4100--4114
Jin Huang and
Zhu Wang Extrapolation Algorithms for Solving
Mixed Boundary Integral Equations of the
Helmholtz Equation by Mechanical
Quadrature Methods . . . . . . . . . . . 4115--4129
Marie E. Rognes and
Robert C. Kirby and
Anders Logg Efficient Assembly of $ H(\mathrm {div})
$ and $ H(\mathrm {curl}) $ Conforming
Finite Elements . . . . . . . . . . . . 4130--4151
Michele Benzi and
Eldad Haber and
Lauren Taralli Multilevel Algorithms for Large-Scale
Interior Point Methods . . . . . . . . . 4152--4175
G. von Winckel and
A. Borz\`\i and
S. Volkwein A Globalized Newton Method for the
Accurate Solution of a Dipole Quantum
Control Problem . . . . . . . . . . . . 4176--4203
Daniel Gross and
Ulrich Heil and
Ralf Schulze and
Elmar Schoemer and
Ulrich Schwanecke GPU-Based Volume Reconstruction from
Very Few Arbitrarily Aligned X-Ray
Images . . . . . . . . . . . . . . . . . 4204--4221
Ramji Kamakoti and
Carlos Pantano High-Order Narrow Stencil
Finite-Difference Approximations of
Second-Order Derivatives Involving
Variable Coefficients . . . . . . . . . 4222--4243
Xiaoming He and
Tao Lü A Finite Element Splitting Extrapolation
for Second Order Hyperbolic Equations 4244--4265
Hongjiong Tian and
Kaiting Shan and
Jiaoxun Kuang Continuous Block $ \theta $-Methods for
Ordinary and Delay Differential
Equations . . . . . . . . . . . . . . . 4266--4280
Marcel Bieri and
Roman Andreev and
Christoph Schwab Sparse Tensor Discretization of Elliptic
sPDEs . . . . . . . . . . . . . . . . . 4281--4304
J. A. Carrillo and
J. S. Moll Numerical Simulation of Diffusive and
Aggregation Phenomena in Nonlinear
Continuity Equations by Evolving
Diffeomorphisms . . . . . . . . . . . . 4305--4329
Colin B. Macdonald and
Steven J. Ruuth The Implicit Closest Point Method for
the Numerical Solution of Partial
Differential Equations on Surfaces . . . 4330--4350
Ngai-Hang Z. Leung and
Kim-Chuan Toh An SDP-Based Divide-and-Conquer
Algorithm for Large-Scale Noisy
Anchor-Free Graph Realization . . . . . 4351--4372
Tobias Jahnke An Adaptive Wavelet Method for the
Chemical Master Equation . . . . . . . . 4373--4394
Khachik Sargsyan and
Bert Debusschere and
Habib Najm and
Olivier Le Ma\^\itre Spectral Representation and Reduced
Order Modeling of the Dynamics of
Stochastic Reaction Networks via
Adaptive Data Partitioning . . . . . . . 4395--4421
Claudio Canuto and
Paola Gervasio and
Alfio Quarteroni Finite-Element Preconditioning of G-NI
Spectral Methods . . . . . . . . . . . . 4422--4451
Emil M. Constantinescu and
Adrian Sandu Extrapolated Implicit-Explicit Time
Stepping . . . . . . . . . . . . . . . . 4452--4477
Hermann Brunner and
Xiaonan Wu and
Jiwei Zhang Computational Solution of Blow-Up
Problems for Semilinear Parabolic PDEs
on Unbounded Domains . . . . . . . . . . 4478--4496
Evan VanderZee and
Anil N. Hirani and
Damrong Guoy and
Edgar A. Ramos Well-Centered Triangulation . . . . . . 4497--4523
Chandrajit Bajaj and
Wenqi Zhao Fast Molecular Solvation Energetics and
Forces Computation . . . . . . . . . . . 4524--4552
Adam C. Zelinski and
Vivek K. Goyal and
Elfar Adalsteinsson Simultaneously Sparse Solutions to
Linear Inverse Problems with Multiple
System Matrices and a Single Observation
Vector . . . . . . . . . . . . . . . . . 4553--4579
Shi Jin and
Yingzhe Shi A Micro-Macro Decomposition-Based
Asymptotic-Preserving Scheme for the
Multispecies Boltzmann Equation . . . . 4580--4606
K. Andrew Cliffe and
Edward J. C. Hall and
Paul Houston Adaptive Discontinuous Galerkin Methods
for Eigenvalue Problems Arising in
Incompressible Fluid Flows . . . . . . . 4607--4632
Mapundi K. Banda and
Michael Herty and
Jean-Medard T. Ngnotchouye Toward a Mathematical Analysis for
Drift-Flux Multiphase Flow Models in
Networks . . . . . . . . . . . . . . . . 4633--4653
Julianne Chung and
James G. Nagy An Efficient Iterative Approach for
Large-Scale Separable Nonlinear Inverse
Problems . . . . . . . . . . . . . . . . 4654--4674
Ralf Hannemann and
Wolfgang Marquardt Continuous and Discrete Composite
Adjoints for the Hessian of the
Lagrangian in Shooting Algorithms for
Dynamic Optimization . . . . . . . . . . 4675--4695
Jing-Rebecca Li A Fast Time Stepping Method for
Evaluating Fractional Integrals . . . . 4696--4714
Arta A. Jamshidi and
Michael J. Kirby Skew-Radial Basis Function Expansions
for Empirical Modeling . . . . . . . . . 4715--4743
B. Lee A Novel Multigrid Method for $ S_n $
Discretizations of the Mono-Energetic
Boltzmann Transport Equation in the
Optically Thick and Thin Regimes with
Anisotropic Scattering, Part I . . . . . 4744--4773
Emmanuel Agullo and
Abdou Guermouche and
Jean-Yves L'Excellent Reducing the I/O Volume in Sparse
Out-of-core Multifrontal Methods . . . . 4774--4794
Caroline Gatti-Bono and
Phillip Colella and
David Trebotich A Second-Order Accurate Conservative
Front-Tracking Method in One Dimension 4795--4813
Panayot S. Vassilevski General Constrained Energy Minimization
Interpolation Mappings for AMG . . . . . 1--13
M. Brezina and
T. Manteuffel and
S. McCormick and
J. Ruge and
G. Sanders Towards Adaptive Smoothed Aggregation ($
\alpha $SA) for Nonsymmetric Problems 14--39
H. De Sterck and
T. A. Manteuffel and
S. F. McCormick and
K. Miller and
J. Pearson and
J. Ruge and
G. Sanders Smoothed Aggregation Multigrid for
Markov Chains . . . . . . . . . . . . . 40--61
Illia Horenko Finite Element Approach to Clustering of
Multidimensional Time Series . . . . . . 62--83
Anshul Gupta and
Thomas George Adaptive Techniques for Improving the
Performance of Incomplete Factorization
Preconditioning . . . . . . . . . . . . 84--110
David A. Kay and
Philip M. Gresho and
David F. Griffiths and
David J. Silvester Adaptive Time-Stepping for
Incompressible Flow. Part II:
Navier--Stokes Equations . . . . . . . . 111--128
Abdou M. Abdel-Rehim and
Ronald B. Morgan and
Dywayne A. Nicely and
Walter Wilcox Deflated and Restarted Symmetric Lanczos
Methods for Eigenvalues and Linear
Equations with Multiple Right-Hand Sides 129--149
Daniel R. Reynolds and
Ravi Samtaney and
Carol S. Woodward Operator-Based Preconditioning of Stiff
Hyperbolic Systems . . . . . . . . . . . 150--170
Johnathan M. Bardsley and
John Goldes An Iterative Method for Edge-Preserving
MAP Estimation When Data-Noise Is
Poisson . . . . . . . . . . . . . . . . 171--185
E. Vecharynski and
J. Langou The Cycle-Convergence of Restarted GMRES
for Normal Matrices Is Sublinear . . . . 186--196
Eldad Haber and
Tauseef Rehman and
Allen Tannenbaum An Efficient Numerical Method for the
Solution of the $ L_2 $ Optimal Mass
Transfer Problem . . . . . . . . . . . . 197--211
Michael Bader and
Christian Böck and
Johannes Schwaiger and
Csaba Vigh Dynamically Adaptive Simulations with
Minimal Memory Requirement --- Solving
the Shallow Water Equations Using
Sierpinski Curves . . . . . . . . . . . 212--228
J. H. Adler and
T. A. Manteuffel and
S. F. McCormick and
J. W. Ruge First-Order System Least Squares for
Incompressible Resistive
Magnetohydrodynamics . . . . . . . . . . 229--248
H. Sue Dollar and
Nicholas I. M. Gould and
Martin Stoll and
Andrew J. Wathen Preconditioning Saddle-Point Systems
with Applications in Optimization . . . 249--270
Tyrone Rees and
H. Sue Dollar and
Andrew J. Wathen Optimal Solvers for PDE-Constrained
Optimization . . . . . . . . . . . . . . 271--298
Malena I. Español and
Misha E. Kilmer Multilevel Approach For Signal
Restoration Problems With Toeplitz
Matrices . . . . . . . . . . . . . . . . 299--319
Robert Nourgaliev and
Samet Kadioglu and
Vincent Mousseau Marker Redistancing/Level Set Method for
High-Fidelity Implicit Interface
Tracking . . . . . . . . . . . . . . . . 320--348
David F. Gleich and
Andrew P. Gray and
Chen Greif and
Tracy Lau An Inner-Outer Iteration for Computing
PageRank . . . . . . . . . . . . . . . . 349--371
Eveline Rosseel and
Stefan Vandewalle Iterative Solvers for the Stochastic
Finite Element Method . . . . . . . . . 372--397
J. Brannick and
C. Ketelsen and
T. Manteuffel and
S. McCormick Least-Squares Finite Element Methods for
Quantum Electrodynamics . . . . . . . . 398--417
Chao Yang and
Jianwen Cao and
Xiao-Chuan Cai A Fully Implicit Domain Decomposition
Algorithm for Shallow Water Equations on
the Cubed-Sphere . . . . . . . . . . . . 418--438
Andreas Stathopoulos and
Konstantinos Orginos Computing and Deflating Eigenvalues
While Solving Multiple Right-Hand Side
Linear Systems with an Application to
Quantum Chromodynamics . . . . . . . . . 439--462
Hillel Tal-Ezer and
Eli Turkel The Iterative Solver RISOLV with
Application to the Exterior Helmholtz
Problem . . . . . . . . . . . . . . . . 463--475
Ray Tuminaro Special Issue: 2008 Copper Mountain
Conference . . . . . . . . . . . . . . . vii--vii
Weimin Han and
Jianguo Huang and
Joseph A. Eichholz Discrete-Ordinate Discontinuous Galerkin
Methods for Solving the Radiative
Transfer Equation . . . . . . . . . . . 477--497
Jan Pomplun and
Frank Schmidt Accelerated a Posteriori Error
Estimation for the Reduced Basis Method
with Application to $3$D Electromagnetic
Scattering Problems . . . . . . . . . . 498--520
David Nordsletten and
Nicolas Smith and
David Kay A Preconditioner for the Finite Element
Approximation to the Arbitrary
Lagrangian--Eulerian Navier--Stokes
Equations . . . . . . . . . . . . . . . 521--543
H. De Sterck and
T. A. Manteuffel and
S. F. McCormick and
K. Miller and
J. Ruge and
G. Sanders Algebraic Multigrid for Markov Chains 544--562
Veerle Ledoux and
Marnix Van Daele Solution of Sturm--Liouville Problems
Using Modified Neumann Schemes . . . . . 563--584
G. Of and
O. Steinbach and
P. Urthaler Fast Evaluation of Volume Potentials in
Boundary Element Methods . . . . . . . . 585--602
Giacomo Dimarco and
Lorenzo Pareschi Fluid Solver Independent Hybrid Methods
for Multiscale Kinetic Equations . . . . 603--634
Peter L. W. Man and
James R. Norris and
Ismaël F. Bailleul and
Markus Kraft Coupling Algorithms for Calculating
Sensitivities of Smoluchowski's
Coagulation Equation . . . . . . . . . . 635--655
Üm t V. Çatalyürek and
Cevdet Aykanat and
Bora Uçar On Two-Dimensional Sparse Matrix
Partitioning: Models, Methods, and a
Recipe . . . . . . . . . . . . . . . . . 656--683
Jong Hyuk Park and
John C. Strikwerda The Domain Decomposition Method for
Maxwell's Equations in Time Domain
Simulations with Dispersive Metallic
Media . . . . . . . . . . . . . . . . . 684--702
Jitendra Kumar and
Gerald Warnecke A Note on Moment Preservation of Finite
Volume Schemes for Solving Growth and
Aggregation Population Balance Equations 703--713
Zhongxiao Jia and
Datian Niu A Refined Harmonic Lanczos
Bidiagonalization Method and an
Implicitly Restarted Algorithm for
Computing the Smallest Singular Triplets
of Large Matrices . . . . . . . . . . . 714--744
Keith R. Santarelli A Framework for Reduced Order Modeling
with Mixed Moment Matching and Peak
Error Objectives . . . . . . . . . . . . 745--773
Spike T. Lee and
Hong-Kui Pang and
Hai-Wei Sun Shift-Invert Arnoldi Approximation to
the Toeplitz Matrix Exponential . . . . 774--792
David J. Knezevic and
Anthony T. Patera A Certified Reduced Basis Method for the
Fokker--Planck Equation of Dilute
Polymeric Fluids: FENE Dumbbells in
Extensional Flow . . . . . . . . . . . . 793--817
Andrew J. Christlieb and
Colin B. Macdonald and
Benjamin W. Ong Parallel High-Order Integrators . . . . 818--835
Philipp Stumm and
Andrea Walther New Algorithms for Optimal Online
Checkpointing . . . . . . . . . . . . . 836--854
Xuejun Xu and
Shangyou Zhang A New Divergence-Free Interpolation
Operator with Applications to the
Darcy--Stokes--Brinkman Equations . . . 855--874
L. Beirão da Veiga and
K. Lipnikov A Mimetic Discretization of the Stokes
Problem with Selected Edge Bubbles . . . 875--893
Habib Ammari and
Hyeonbae Kang and
Hyundae Lee and
Won-Kwang Park Asymptotic Imaging of Perfectly
Conducting Cracks . . . . . . . . . . . 894--922
Elisabeth Ullmann A Kronecker Product Preconditioner for
Stochastic Galerkin Finite Element
Discretizations . . . . . . . . . . . . 923--946
Xiangmin Jiao and
Daniel R. Einstein and
Vladimir Dyedov Local Orthogonal Cutting Method for
Computing Medial Curves and Its
Biomedical Applications . . . . . . . . 947--969
Yanlai Chen and
Jan S. Hesthaven and
Yvon Maday and
Jerónimo Rodríguez Certified Reduced Basis Methods and
Output Bounds for the Harmonic Maxwell's
Equations . . . . . . . . . . . . . . . 970--996
Luca Ded\`e Reduced Basis Method and a Posteriori
Error Estimation for Parametrized
Linear-Quadratic Optimal Control
Problems . . . . . . . . . . . . . . . . 997--1019
Junqing Chen and
Zhiming Chen and
Tao Cui and
Lin-Bo Zhang An Adaptive Finite Element Method for
the Eddy Current Model with
Circuit/Field Couplings . . . . . . . . 1020--1042
Raymond H. Chan and
Ke Chen A Multilevel Algorithm for
Simultaneously Denoising and Deblurring
Images . . . . . . . . . . . . . . . . . 1043--1063
K. G. van der Zee and
E. H. van Brummelen and
R. de Borst Goal-Oriented Error Estimation and
Adaptivity for Free-Boundary Problems:
The Domain-Map Linearization Approach 1064--1092
K. G. van der Zee and
E. H. van Brummelen and
R. de Borst Goal-Oriented Error Estimation and
Adaptivity for Free-Boundary Problems:
The Shape-Linearization Approach . . . . 1093--1118
Sadok Lamine and
Michael G. Edwards Higher Order Multidimensional Upwind
Convection Schemes for Flow in Porous
Media on Structured and Unstructured
Quadrilateral Grids . . . . . . . . . . 1119--1139
Ronny Richter and
Jörg Frauendiener Discrete Differential Forms for $ (1 +
1)$-Dimensional Cosmological
Space--times . . . . . . . . . . . . . . 1140--1158
Jie Shen and
Xiaofeng Yang A Phase-Field Model and Its Numerical
Approximation for Two-Phase
Incompressible Flows with Different
Densities and Viscosities . . . . . . . 1159--1179
Tarek P. Mathew and
Marcus Sarkis and
Christian E. Schaerer Analysis of Block Parareal
Preconditioners for Parabolic Optimal
Control Problems . . . . . . . . . . . . 1180--1200
Murat Manguoglu and
Mehmet Koyutürk and
Ahmed H. Sameh and
Ananth Grama Weighted Matrix Ordering and Parallel
Banded Preconditioners for Iterative
Linear System Solvers . . . . . . . . . 1201--1216
Haim Avron and
Petar Maymounkov and
Sivan Toledo Blendenpik: Supercharging LAPACK's
Least-Squares Solver . . . . . . . . . . 1217--1236
Timo Tonn and
Karsten Urban and
Stefan Volkwein Optimal Control of Parameter-Dependent
Convection-Diffusion Problems around
Rigid Bodies . . . . . . . . . . . . . . 1237--1260
Krzysztof J. Fidkowski and
Philip L. Roe An Entropy Adjoint Approach to Mesh
Refinement . . . . . . . . . . . . . . . 1261--1287
Xin Wen High Order Numerical Methods to Three
Dimensional Delta Function Integrals in
Level Set Methods . . . . . . . . . . . 1288--1309
Michael Carley Moving Least Squares via Orthogonal
Polynomials . . . . . . . . . . . . . . 1310--1322
Padma Raghavan and
Keita Teranishi Parallel Hybrid Preconditioning:
Incomplete Factorization with Selective
Sparse Approximate Inversion . . . . . . 1323--1345
Haibiao Zheng and
Yanren Hou and
Feng Shi A Posteriori Error Estimates of
Stabilization of Low-Order Mixed Finite
Elements for Incompressible Flow . . . . 1346--1360
Rahul S. Sampath and
George Biros A Parallel Geometric Multigrid Method
for Finite Elements on Octree Meshes . . 1361--1392
James J. Brannick and
Robert D. Falgout Compatible Relaxation and Coarsening in
Algebraic Multigrid . . . . . . . . . . 1393--1416
A. H. Barnett and
T. Betcke An Exponentially Convergent
Nonpolynomial Finite Element Method for
Time-Harmonic Scattering from Polygons 1417--1441
Michael K. Ng and
Jianyu Pan Approximate Inverse
Circulant-plus-Diagonal Preconditioners
for Toeplitz-plus-Diagonal Matrices . . 1442--1464
Caroline Lasser and
Susanna Röblitz Computing Expectation Values for
Molecular Quantum Dynamics . . . . . . . 1465--1483
Christian Clason and
Bangti Jin and
Karl Kunisch A Duality-Based Splitting Method for $
\ell^1$-$ {TV}$ Image Restoration with
Automatic Regularization Parameter
Choice . . . . . . . . . . . . . . . . . 1484--1505
J. H. Adler and
T. A. Manteuffel and
S. F. McCormick and
J. W. Ruge and
G. D. Sanders Nested Iteration and First-Order System
Least Squares for Incompressible,
Resistive Magnetohydrodynamics . . . . . 1506--1526
Karol Mikula and
Mario Ohlberger A New Level Set Method for Motion in
Normal Direction Based on a
Semi-Implicit Forward-Backward Diffusion
Approach . . . . . . . . . . . . . . . . 1527--1544
C. Winter Wavelet Galerkin Schemes for
Multidimensional Anisotropic
Integrodifferential Operators . . . . . 1545--1566
Pavel Jiránek and
Zden\vek Strako\vs and
Martin Vohralík A Posteriori Error Estimates Including
Algebraic Error and Stopping Criteria
for Iterative Solvers . . . . . . . . . 1567--1590
Veselin Dobrev and
Jean-Luc Guermond and
Bojan Popov Surface Reconstruction and Image
Enhancement via $ L^1 $-Minimization . . 1591--1616
Christina Steiner and
Siegfried Müller and
Sebastian Noelle Adaptive Timestep Control for
Nonstationary Solutions of the Euler
Equations . . . . . . . . . . . . . . . 1617--1651
H. De Sterck and
K. Miller and
G. Sanders and
M. Winlaw Recursively Accelerated Multilevel
Aggregation for Markov Chains . . . . . 1652--1671
Jason E. Hicken and
David W. Zingg A Simplified and Flexible Variant of
GCROT for Solving Nonsymmetric Linear
Systems . . . . . . . . . . . . . . . . 1672--1694
G. Yu. Kulikov and
R. Weiner Variable-Stepsize Interpolating Explicit
Parallel Peer Methods with Inherent
Global Error Control . . . . . . . . . . 1695--1723
Bin Dong and
Aichi Chien and
Zuowei Shen and
Stanley Osher A New Multiscale Representation for
Shapes and Its Application to Blood
Vessel Recovery . . . . . . . . . . . . 1724--1739
Chang-Ming Chen and
F. Liu and
V. Anh and
I. Turner Numerical Schemes with High Spatial
Accuracy for a Variable-Order Anomalous
Subdiffusion Equation . . . . . . . . . 1740--1760
James Bremer and
Zydrunas Gimbutas and
Vladimir Rokhlin A Nonlinear Optimization Procedure for
Generalized Gaussian Quadratures . . . . 1761--1788
Evelyn Buckwar and
Andreas Rößler and
Renate Winkler Stochastic Runge--Kutta Methods for Itô
SODEs with Small Noise . . . . . . . . . 1789--1808
Yongsam Kim and
Wanho Lee and
Eunok Jung An Immersed Boundary Heart Model Coupled
with a Multicompartment Lumped Model of
the Circulatory System . . . . . . . . . 1809--1831
Zaiwen Wen and
Wotao Yin and
Donald Goldfarb and
Yin Zhang A Fast Algorithm for Sparse
Reconstruction Based on Shrinkage,
Subspace Optimization, and Continuation 1832--1857
L. Giraud and
S. Gratton and
X. Pinel and
X. Vasseur Flexible GMRES with Deflated Restarting 1858--1878
Junichi Imai and
Reiichiro Kawai Quasi-Monte Carlo Method for Infinitely
Divisible Random Vectors via Series
Representations . . . . . . . . . . . . 1879--1897
Valeria Simoncini and
Daniel B. Szyld Interpreting IDR as a Petrov--Galerkin
Method . . . . . . . . . . . . . . . . . 1898--1912
P. Barrera Sánchez and
J. J. Cortés and
F. J. Domínguez-Mota and
G. González Flores and
J. G. Tinoco-Ruiz Smoothness and Convex Area Functionals
--- Revisited . . . . . . . . . . . . . 1913--1928
Levent Gürel and
Tah r Malas Iterative Near-Field Preconditioner for
the Multilevel Fast Multipole Algorithm 1929--1949
Ludwig W. Dorodnicyn Artificial Boundary Conditions for
High-Accuracy Aeroacoustic Algorithms 1950--1979
Bernd Flemisch and
Manfred Kaltenbacher and
Simon Triebenbacher and
Barbara I. Wohlmuth The Equivalence of Standard and Mixed
Finite Element Methods in Applications
to Elasto-Acoustic Interaction . . . . . 1980--2006
Shlomy Shitrit and
David Sidilkover Toward Applying Algebraic Multigrid to
Transonic Flow Problem . . . . . . . . . 2007--2028
M. P. Calvo and
J. M. Sanz-Serna Heterogeneous Multiscale Methods for
Mechanical Systems with Vibrations . . . 2029--2046
Po-Wen Hsieh and
Suh-Yuh Yang A Novel Least-Squares Finite Element
Method Enriched with Residual-Free
Bubbles for Solving Convection-Dominated
Problems . . . . . . . . . . . . . . . . 2047--2073
Damien Desvigne and
Olivier Marsden and
Christophe Bogey and
Christophe Bailly Development of Noncentered
Wavenumber-Based Optimized Interpolation
Schemes with Amplification Control for
Overlapping Grids . . . . . . . . . . . 2074--2098
Xuying Zhao and
Shipeng Mao and
Zhongci Shi Adaptive Finite Element Methods on
Quadrilateral Meshes without Hanging
Nodes . . . . . . . . . . . . . . . . . 2099--2120
V. Carey and
D. Estep and
A. Johansson and
M. Larson and
S. Tavener Blockwise Adaptivity for Time Dependent
Problems Based on Coarse Scale Adjoint
Solutions . . . . . . . . . . . . . . . 2121--2145
Ian W. Turner and
John A. Belward and
Moa'ath N. Oqielat Error Bounds for Least Squares Gradient
Estimates . . . . . . . . . . . . . . . 2146--2166
Jonathan Cooper and
Jonathan P. Whiteley and
David J. Gavaghan A Posteriori Error Analysis for the Use
of Lookup Tables in Cardiac
Electrophysiology Simulations . . . . . 2167--2189
Raf Vandebril and
Gianna M. Del Corso An Implicit Multishift $ {QR}$-Algorithm
for Hermitian Plus Low Rank Matrices . . 2190--2212
Marco Picasso Numerical Study of an Anisotropic Error
Estimator in the $ L^2 (H^1) $ Norm for
the Finite Element Discretization of the
Wave Equation . . . . . . . . . . . . . 2213--2234
Maximilian Emans Efficient Parallel AMG Methods for
Approximate Solutions of Linear Systems
in CFD Applications . . . . . . . . . . 2235--2254
Vincenzo Casulli and
Paola Zanolli A Nested Newton-Type Algorithm for
Finite Volume Methods Solving Richards'
Equation in Mixed Form . . . . . . . . . 2255--2273
Delin Chu and
Siong Thye Goh A New and Fast Orthogonal Linear
Discriminant Analysis on Undersampled
Problems . . . . . . . . . . . . . . . . 2274--2297
K. Mattsson and
Mark H. Carpenter Stable and Accurate Interpolation
Operators for High-Order Multiblock
Finite Difference Methods . . . . . . . 2298--2320
Didier Bresch and
Thierry Colin and
Emmanuel Grenier and
Benjamin Ribba and
Olivier Saut Computational Modeling of Solid Tumor
Growth: The Avascular Stage . . . . . . 2321--2344
Robert Granat and
Bo Kågström and
Daniel Kressner A Novel Parallel QR Algorithm for Hybrid
Distributed Memory HPC Systems . . . . . 2345--2378
Sylvain Vallaghé and
Théodore Papadopoulo A Trilinear Immersed Finite Element
Method for Solving the
Electroencephalography Forward Problem 2379--2394
Andrew T. Barker and
Xiao-Chuan Cai Two-Level Newton and Hybrid Schwarz
Preconditioners for Fluid-Structure
Interaction . . . . . . . . . . . . . . 2395--2417
Doruk Bozda\ug and
Üm t V. Çatalyürek and
Assefaw H. Gebremedhin and
Fredrik Manne and
Erik G. Boman and
Füsun Özgüner Distributed-Memory Parallel Algorithms
for Distance-2 Coloring and Related
Problems in Derivative Computation . . . 2418--2446
Ionut Danaila and
Parimah Kazemi A New Sobolev Gradient Method for Direct
Minimization of the Gross--Pitaevskii
Energy with Rotation . . . . . . . . . . 2447--2467
Carlo Janna and
Massimilano Ferronato and
Giuseppe Gambolati A Block FSAI-ILU Parallel Preconditioner
for Symmetric Positive Definite Linear
Systems . . . . . . . . . . . . . . . . 2468--2484
Vladimir Druskin and
Chad Lieberman and
Mikhail Zaslavsky On Adaptive Choice of Shifts in Rational
Krylov Subspace Reduction of
Evolutionary Problems . . . . . . . . . 2485--2496
Barry Lee Improved Multiple-Coarsening Methods for
$ {S}_n $ Discretizations of the
Boltzmann Equation . . . . . . . . . . . 2497--2522
Chad Lieberman and
Karen Willcox and
Omar Ghattas Parameter and State Model Reduction for
Large-Scale Statistical Inverse Problems 2523--2542
Stefan Langer Investigation of Preconditioning
Techniques for the Iteratively
Regularized Gauss--Newton Method for
Exponentially Ill-Posed Problems . . . . 2543--2559
Ya Zhang and
Li-Qun Cao and
Yau-Shu Wong Multiscale Computations for $3$D
Time-Dependent Maxwell's Equations in
Composite Materials . . . . . . . . . . 2560--2583
Emily K. Szusz and
Allan R. Willms A Linear Time Algorithm for Near Minimax
Continuous Piecewise Linear
Representations of Discrete Data . . . . 2584--2602
Cory Hauck and
Ryan McClarren Positive $ P_N $ Closures . . . . . . . 2603--2626
Alexander Weiss and
Barbara I. Wohlmuth A Posteriori Error Estimator for
Obstacle Problems . . . . . . . . . . . 2627--2658
Panagiotis A. Foteinos and
Andrey N. Chernikov and
Nikos P. Chrisochoides Fully Generalized Two-Dimensional
Constrained Delaunay Mesh Refinement . . 2659--2686
Gerard L. G. Sleijpen and
Martin B. van Gijzen Exploiting BiCGstab($ \ell $) Strategies
to Induce Dimension Reduction . . . . . 2687--2709
Michael K. Ng and
Pierre Weiss and
Xiaoming Yuan Solving Constrained Total-variation
Image Restoration and Reconstruction
Problems via Alternating Direction
Methods . . . . . . . . . . . . . . . . 2710--2736
Saifon Chaturantabut and
Danny C. Sorensen Nonlinear Model Reduction via Discrete
Empirical Interpolation . . . . . . . . 2737--2764
V. S. Borisov and
M. Mond On Stability, Monotonicity, and
Construction of Difference Schemes I:
Theory . . . . . . . . . . . . . . . . . 2765--2792
V. S. Borisov and
M. Mond On Stability, Monotonicity, and
Construction of Difference Schemes II:
Applications . . . . . . . . . . . . . . 2793--2819
C. Soize and
C. Desceliers Computational Aspects for Constructing
Realizations of Polynomial Chaos in High
Dimension . . . . . . . . . . . . . . . 2820--2831
Xiaojun Chen and
Fengmin Xu and
Yinyu Ye Lower Bound Theory of Nonzero Entries in
Solutions of $ \ell_2$-$ \ell_p$
Minimization . . . . . . . . . . . . . . 2832--2852
Stanley Bak and
Joyce McLaughlin and
Daniel Renzi Some Improvements for the Fast Sweeping
Method . . . . . . . . . . . . . . . . . 2853--2874
Zhenning Cai and
Ruo Li Numerical Regularized Moment Method of
Arbitrary Order for Boltzmann--BGK
Equation . . . . . . . . . . . . . . . . 2875--2907
E. Audusse and
P. Dreyfuss and
B. Merlet Optimized Schwarz Waveform Relaxation
for the Primitive Equations of the Ocean 2908--2936
Satu Elisa Schaeffer Scalable Uniform Graph Sampling by Local
Computation . . . . . . . . . . . . . . 2937--2963
Lehel Banjai Multistep and Multistage Convolution
Quadrature for the Wave Equation:
Algorithms and Experiments . . . . . . . 2964--2994
Bernard Bialecki and
Andreas Karageorghis Spectral Chebyshev Collocation for the
Poisson and Biharmonic Equations . . . . 2995--3019
Chun-Hua Guo and
Wen-Wei Lin The Matrix Equation $ X + A^T X^{-1} A =
Q $ and Its Application in Nano Research 3020--3038
Wanda Strychalski and
David Adalsteinsson and
Timothy C. Elston Simulating Biochemical Signaling
Networks in Complex Moving Geometries 3039--3070
Matteo Semplice Preconditioned Implicit Solvers for
Nonlinear PDEs in Monument Conservation 3071--3091
Marina Spivak and
Shravan K. Veerapaneni and
Leslie Greengard The Fast Generalized Gauss Transform . . 3092--3107
Carmen Rodrigo and
Francisco J. Gaspar and
Cornelis W. Oosterlee and
Irad Yavneh Accuracy Measures and Fourier Analysis
for the Full Multigrid Algorithm . . . . 3108--3129
Emil M. Constantinescu and
Adrian Sandu Optimal Explicit
Strong-Stability-Preserving General
Linear Methods . . . . . . . . . . . . . 3130--3150
Marlis Hochbruck and
Dominik Löchel A Multilevel Jacobi--Davidson Method for
Polynomial PDE Eigenvalue Problems
Arising in Plasma Physics . . . . . . . 3151--3169
Jens L. Eftang and
Anthony T. Patera and
Einar M. Rònquist An ``$ h p $'' Certified Reduced Basis
Method for Parametrized Elliptic Partial
Differential Equations . . . . . . . . . 3170--3200
Min Zhou and
Onkar Sahni and
Karen D. Devine and
Mark S. Shephard and
Kenneth E. Jansen Controlling Unstructured Mesh Partitions
for Massively Parallel Simulations . . . 3201--3227
Jie Shen and
Haijun Yu Efficient Spectral Sparse Grid Methods
and Applications to High-Dimensional
Elliptic Problems . . . . . . . . . . . 3228--3250
Terhemen Aboiyar and
Emmanuil H. Georgoulis and
Armin Iske Adaptive ADER Methods Using Kernel-Based
Polyharmonic Spline WENO Reconstruction 3251--3277
Elias Jarlebring and
Karl Meerbergen and
Wim Michiels A Krylov Method for the Delay Eigenvalue
Problem . . . . . . . . . . . . . . . . 3278--3300
Hyea Hyun Kim and
Chang-Ock Lee A FETI--DP Formulation for the
Three-Dimensional Stokes Problem without
Primal Pressure Unknowns . . . . . . . . 3301--3322
Kevin Long and
Robert Kirby and
Bart van Bloemen Waanders Unified Embedded Parallel Finite Element
Computations via Software-Based Fréchet
Differentiation . . . . . . . . . . . . 3323--3351
Berkant Savas and
Lek-Heng Lim Quasi-Newton Methods on Grassmannians
and Multilinear Approximations of
Tensors . . . . . . . . . . . . . . . . 3352--3393
F. X. Giraldo and
M. Restelli and
M. Läuter Semi-Implicit Formulations of the
Navier--Stokes Equations: Application to
Nonhydrostatic Atmospheric Modeling . . 3394--3425
Laura Grigori and
Erik G. Boman and
Simplice Donfack and
Timothy A. Davis Hypergraph-Based Unsymmetric Nested
Dissection Ordering for Sparse LU
Factorization . . . . . . . . . . . . . 3426--3446
Frank E. Curtis and
Olaf Schenk and
Andreas Wächter An Interior-Point Algorithm for
Large-Scale Nonlinear Optimization with
Inexact Step Computations . . . . . . . 3447--3475
J. Xu and
P. N. Ostroumov and
B. Mustapha and
J. Nolen Scalable Direct Vlasov Solver with
Discontinuous Galerkin Method on
Unstructured Mesh . . . . . . . . . . . 3476--3494
Grey Ballard and
James Demmel and
Olga Holtz and
Oded Schwartz Communication-optimal Parallel and
Sequential Cholesky Decomposition . . . 3495--3523
G. L. Delzanno and
J. M. Finn Generalized Monge--Kantorovich
Optimization for Grid Generation and
Adaptation in $ L_p $ . . . . . . . . . 3524--3547
Dongmin Kim and
Suvrit Sra and
Inderjit S. Dhillon Tackling Box-Constrained Optimization
via a New Projected Quasi-Newton
Approach . . . . . . . . . . . . . . . . 3548--3563
Prateek Sharma and
Phillip Colella and
Daniel F. Martin Numerical Implementation of Streaming
Down the Gradient: Application to Fluid
Modeling of Cosmic Rays and Saturated
Conduction . . . . . . . . . . . . . . . 3564--3583
Vineet Rawat and
Jin-Fa Lee Nonoverlapping Domain Decomposition with
Second Order Transmission Condition for
the Time-Harmonic Maxwell's Equations 3584--3603
Luca F. Pavarino and
Olof B. Widlund and
Stefano Zampini BDDC Preconditioners for Spectral
Element Discretizations of Almost
Incompressible Elasticity in Three
Dimensions . . . . . . . . . . . . . . . 3604--3626
J. D. Hogg and
J. K. Reid and
J. A. Scott Design of a Multicore Sparse Cholesky
Factorization Using DAGs . . . . . . . . 3627--3649
J. H. Adler and
T. A. Manteuffel and
S. F. McCormick and
J. W. Nolting and
J. W. Ruge and
L. Tang Efficiency Based Adaptive Local
Refinement for First-Order System
Least-Squares Formulations . . . . . . . 1--24
Lennaert van Veen and
Genta Kawahara and
Matsumura Atsushi On Matrix-Free Computation of $2$D
Unstable Manifolds . . . . . . . . . . . 25--44
B. N. Khoromskij and
V. Khoromskaia and
H.-J. Flad Numerical Solution of the Hartree--Fock
Equation in Multilevel Tensor-Structured
Format . . . . . . . . . . . . . . . . . 45--65
Kolja Brix and
Ralf Massjung and
Alexander Voss Refinement and Connectivity Algorithms
for Adaptive Discontinuous Galerkin
Methods . . . . . . . . . . . . . . . . 66--101
K. C. Zygalakis On the Existence and the Applications of
Modified Equations for Stochastic
Differential Equations . . . . . . . . . 102--130
Junping Wang and
Yanqiu Wang and
Xiu Ye A Posteriori Error Estimation for an
Interior Penalty Type Method Employing $
H(\mathrm {div}) $ Elements for the
Stokes Equations . . . . . . . . . . . . 131--152
Johan Helsing A Fast and Stable Solver for Singular
Integral Equations on Piecewise Smooth
Curves . . . . . . . . . . . . . . . . . 153--174
J. Lampe and
M. Rojas and
D. C. Sorensen and
H. Voss Accelerating the LSTRS Algorithm . . . . 175--194
Jie Chen and
Mihai Anitescu and
Yousef Saad Computing $ f(A) b $ via Least Squares
Polynomial Approximations . . . . . . . 195--222
David Doyen and
Alexandre Ern and
Serge Piperno Time-Integration Schemes for the Finite
Element Dynamic Signorini Problem . . . 223--249
Junfeng Yang and
Yin Zhang Alternating Direction Algorithms for $
\ell_1$-Problems in Compressive Sensing 250--278
Harri Hakula and
Antti Rasila and
Matti Vuorinen On Moduli of Rings and Quadrilaterals:
Algorithms and Experiments . . . . . . . 279--302
Maka Karalashvili and
Sven Groß and
Wolfgang Marquardt and
Adel Mhamdi and
Arnold Reusken Identification of Transport Coefficient
Models in Convection-Diffusion Equations 303--327
Kui Du A Simple Numerical Method for Complex
Geometrical Optics Solutions to the
Conductivity Equation . . . . . . . . . 328--341
Martin K. Bernauer and
Roland Herzog Optimal Control of the Classical
Two-Phase Stefan Problem in Level Set
Formulation . . . . . . . . . . . . . . 342--363
Boris N. Khoromskij and
Christoph Schwab Tensor-Structured Galerkin Approximation
of Parametric and Stochastic Elliptic
PDEs . . . . . . . . . . . . . . . . . . 364--385
John C. Bowman and
Malcolm Roberts Efficient Dealiased Convolutions without
Padding . . . . . . . . . . . . . . . . 386--406
H. P. Flath and
L. C. Wilcox and
V. Akçelik and
J. Hill and
B. van Bloemen Waanders and
O. Ghattas Fast Algorithms for Bayesian Uncertainty
Quantification in Large-Scale Linear
Inverse Problems Based on Low-Rank
Partial Hessian Approximations . . . . . 407--432
Gun Srijuntongsiri and
Stephen A. Vavasis A Condition Number Analysis of an
Algorithm for Solving a System of
Polynomial Equations with One Degree of
Freedom . . . . . . . . . . . . . . . . 433--454
Michael G. Edwards and
Hongwen Zheng Quasi M-Matrix Multifamily Continuous
Darcy-Flux Approximations with Full
Pressure Support on Structured and
Unstructured Grids in Three Dimensions 455--487
Awad H. Al-Mohy and
Nicholas J. Higham Computing the Action of the Matrix
Exponential, with an Application to
Exponential Integrators . . . . . . . . 488--511
Diego Rossinelli and
Babak Hejazialhosseini and
Daniele G. Spampinato and
Petros Koumoutsakos Multicore/Multi-GPU Accelerated
Simulations of Multiphase Compressible
Flows Using Wavelet Adapted Grids . . . 512--540
Alfonso Caiazzo and
Miguel A. Fernández and
Jean-Frédéric Gerbeau and
Vincent Martin Projection Schemes for Fluid Flows
through a Porous Interface . . . . . . . 541--564
Zdenek Strakos and
Petr Tichý On Efficient Numerical Approximation of
the Bilinear Form $ c^* A^{-1} b $ . . . 565--587
Ulrik S. Fjordholm and
Siddhartha Mishra Vorticity Preserving Finite Volume
Schemes for the Shallow Water Equations 588--611
A. Brandt and
J. Brannick and
K. Kahl and
I. Livshits Bootstrap AMG . . . . . . . . . . . . . 612--632
Andreas Pedersen and
Sigurdur F. Hafstein and
Hannes Jónsson Efficient Sampling of Saddle Points with
the Minimum-Mode Following Method . . . 633--652
Bakytzhan Kallemov and
Gregory H. Miller A Second-Order Strong Method for the
Langevin Equations with Holonomic
Constraints . . . . . . . . . . . . . . 653--676
Stefan K. Stefanov On DSMC Calculations of Rarefied Gas
Flows with Small Number of Particles in
Cells . . . . . . . . . . . . . . . . . 677--702
Dirk Lebiedz and
Jochen Siehr and
Jonas Unger A Variational Principle for Computing
Slow Invariant Manifolds in Dissipative
Dynamical Systems . . . . . . . . . . . 703--720
Micol Pennacchio and
Valeria Simoncini Fast Structured AMG Preconditioning for
the Bidomain Model in Electrocardiology 721--745
Xiao-Chuan Cai and
Xuefeng Li Inexact Newton Methods with Restricted
Additive Schwarz Based Nonlinear
Elimination for Problems with High Local
Nonlinearity . . . . . . . . . . . . . . 746--762
K. J. in 't Hout and
J. A. C. Weideman A Contour Integral Method for the
Black--Scholes and Heston Equations . . 763--785
Omar Lakkis and
Tristan Pryer A Finite Element Method for Second Order
Nonvariational Elliptic Problems . . . . 786--801
Paulien van Slingerland and
Jennifer K. Ryan and
C. Vuik Position-Dependent Smoothness-Increasing
Accuracy-Conserving (SIAC) Filtering for
Improving Discontinuous Galerkin
Solutions . . . . . . . . . . . . . . . 802--825
Chandrajit Bajaj and
Shun-Chuan Chen and
Alexander Rand An Efficient Higher-Order Fast Multipole
Boundary Element Solution for
Poisson--Boltzmann-Based Molecular
Electrostatics . . . . . . . . . . . . . 826--848
E. S. Coakley and
V. Rokhlin and
M. Tygert A Fast Randomized Algorithm for
Orthogonal Projection . . . . . . . . . 849--868
Bengt Fornberg and
Elisabeth Larsson and
Natasha Flyer Stable Computations with Gaussian Radial
Basis Functions . . . . . . . . . . . . 869--892
Jason E. Hicken and
David W. Zingg Superconvergent Functional Estimates
from Summation-By-Parts
Finite-Difference Discretizations . . . 893--922
Olivier Bokanowski and
Yingda Cheng and
Chi-Wang Shu A Discontinuous Galerkin Solver for
Front Propagation . . . . . . . . . . . 923--938
Yuanyuan Liu and
Chi-Wang Shu and
Mengping Zhang High Order Finite Difference WENO
Schemes for Nonlinear Degenerate
Parabolic Equations . . . . . . . . . . 939--965
Luke N. Olson and
Jacob B. Schroder and
Raymond S. Tuminaro A General Interpolation Strategy for
Algebraic Multigrid Using Energy
Minimization . . . . . . . . . . . . . . 966--991
Nikolai D. Botkin and
Karl-Heinz Hoffmann and
Varvara L. Turova Stable Numerical Schemes for Solving
Hamilton--Jacobi--Bellman--Isaacs
Equations . . . . . . . . . . . . . . . 992--1007
Xavier Antoine and
Christophe Besse and
Pauline Klein Absorbing Boundary Conditions for
General Nonlinear Schrödinger Equations 1008--1033
M. P. Neilson and
J. A. Mackenzie and
S. D. Webb and
R. H. Insall Modeling Cell Movement and Chemotaxis
Using Pseudopod-Based Feedback . . . . . 1035--1057
Marco Picasso and
Frédéric Alauzet and
Houman Borouchaki and
Paul-Louis George A Numerical Study of Some Hessian
Recovery Techniques on Isotropic and
Anisotropic Meshes . . . . . . . . . . . 1058--1076
Timothy P. Chartier and
Erich Kreutzer and
Amy N. Langville and
Kathryn E. Pedings Sensitivity and Stability of Ranking
Vectors . . . . . . . . . . . . . . . . 1077--1102
Carsten Burstedde and
Lucas C. Wilcox and
Omar Ghattas \tt p4est: Scalable Algorithms for
Parallel Adaptive Mesh Refinement on
Forests of Octrees . . . . . . . . . . . 1103--1133
M. Shakourifar and
W. H. Enright Reliable Approximate Solution of Systems
of Volterra Integro-Differential
Equations with Time-Dependent Delays . . 1134--1158
Qianqian Yang and
Ian Turner and
Fawang Liu and
Milos Ili\'c Novel Numerical Methods for Solving the
Time-Space Fractional Diffusion Equation
in Two Dimensions . . . . . . . . . . . 1159--1180
Mauro Perego and
Alessandro Veneziani and
Christian Vergara A Variational Approach for Estimating
the Compliance of the Cardiovascular
Tissue: An Inverse Fluid-Structure
Interaction Problem . . . . . . . . . . 1181--1211
Benjamin E. Sonday and
Robert D. Berry and
Habib N. Najm and
Bert J. Debusschere Eigenvalues of the Jacobian of a
Galerkin-Projected Uncertain ODE System 1212--1233
Yi He and
Xing-Biao Hu and
Jian-Qing Sun and
Ernst Joachim Weniger Convergence Acceleration Algorithm via
an Equation Related to the Lattice
Boussinesq Equation . . . . . . . . . . 1234--1245
Raphaël M. Jungers and
Vladimir Y. Protasov Fast Methods for Computing the
$p$-Radius of Matrices . . . . . . . . . 1246--1266
T. Butler and
C. Dawson and
T. Wildey A Posteriori Error Analysis of
Stochastic Differential Equations Using
Polynomial Chaos Expansions . . . . . . 1267--1291
Jorge J. Moré and
Stefan M. Wild Estimating Computational Noise . . . . . 1292--1314
Ivan V. Oseledets and
Eugene E. Tyrtyshnikov Algebraic Wavelet Transform via Quantics
Tensor Train Decomposition . . . . . . . 1315--1328
Lin Lin and
Chao Yang and
Jianfeng Lu and
Lexing Ying and
Weinan E A Fast Parallel Algorithm for Selected
Inversion of Structured Sparse Matrices
with Application to $2$D Electronic
Structure Calculations . . . . . . . . . 1329--1351
Guangwei Yuan and
Yanzhong Yao and
Li Yin A Conservative Domain Decomposition
Procedure for Nonlinear Diffusion
Problems on Arbitrary Quadrilateral
Grids . . . . . . . . . . . . . . . . . 1352--1368
Thomas K. DeLillo and
Everett H. Kropf Numerical Computation of the
Schwarz--Christoffel Transformation for
Multiply Connected Domains . . . . . . . 1369--1394
Zhonghua Qiao and
Zhengru Zhang and
Tao Tang An Adaptive Time-Stepping Strategy for
the Molecular Beam Epitaxy Models . . . 1395--1414
Kazufumi Ito and
Bangti Jin and
Tomoya Takeuchi A Regularization Parameter for Nonsmooth
Tikhonov Regularization . . . . . . . . 1415--1438
Benjamin Ganis and
Ivan Yotov and
Ming Zhong A Stochastic Mortar Mixed Finite Element
Method for Flow in Porous Media with
Multiple Rock Types . . . . . . . . . . 1439--1474
Kamil A. Khan and
Vibhu P. Saxena and
Paul I. Barton Sensitivity Analysis of Limit-Cycle
Oscillating Hybrid Systems . . . . . . . 1475--1504
Wurigen Bo and
Xingtao Liu and
James Glimm and
Xiaolin Li A Robust Front Tracking Method:
Verification and Application to
Simulation of the Primary Breakup of a
Liquid Jet . . . . . . . . . . . . . . . 1505--1524
Sergio Blanes and
Fernando Casas and
Ander Murua Error Analysis of Splitting Methods for
the Time Dependent Schrödinger Equation 1525--1548
Todd Arbogast and
Wen-Hao Wang Stability, Monotonicity, Maximum and
Minimum Principles, and Implementation
of the Volume Corrected Characteristic
Method . . . . . . . . . . . . . . . . . 1549--1573
William G. Litvinov and
Talal Rahman and
Xue-Cheng Tai A Modified TV--Stokes Model for Image
Processing . . . . . . . . . . . . . . . 1574--1597
Paolo Crosetto and
Simone Deparis and
Gilles Fourestey and
Alfio Quarteroni Parallel Algorithms for Fluid-Structure
Interaction Problems in Haemodynamics 1598--1622
Frédéric Nataf and
Hua Xiang and
Victorita Dolean and
Nicole Spillane A Coarse Space Construction Based on
Local Dirichlet-to-Neumann Maps . . . . 1623--1642
Michael K. Ng and
Fan Wang and
Xiaoming Yuan Inexact Alternating Direction Methods
for Image Recovery . . . . . . . . . . . 1643--1668
Alfredo Cutolo and
Benedetto Piccoli and
Luigi Rarit\`a An Upwind-Euler Scheme for an ODE--PDE
Model of Supply Chains . . . . . . . . . 1669--1688
Sylvester Eriksson-Bique and
Mary Solbrig and
Michael Stefanelli and
Sarah Warkentin and
Ralph Abbey and
Ilse C. F. Ipsen Importance Sampling for a Monte Carlo
Matrix Multiplication Algorithm, with
Application to Information Retrieval . . 1689--1706
Christophe J. Zbinden Partitioned Runge--Kutta--Chebyshev
Methods for Diffusion-Advection-Reaction
Problems . . . . . . . . . . . . . . . . 1707--1725
Oren E. Livne and
Achi E. Brandt MuT: The Multilevel Sinc Transform . . . 1726--1738
Yves Coudi\`ere and
Florence Hubert A $3$D Discrete Duality Finite Volume
Method for Nonlinear Elliptic Equations 1739--1764
Alexander Y. Suhov and
Adi Ditkowski Artificial Boundary Conditions for the
Simulation of the Heat Equation in an
Infinite Domain . . . . . . . . . . . . 1765--1784
Stefania Bellavia and
Valentina De Simone and
Daniela di Serafino and
Benedetta Morini Efficient Preconditioner Updates for
Shifted Linear Systems . . . . . . . . . 1785--1809
Sou-Cheng T. Choi and
Christopher C. Paige and
Michael A. Saunders MINRES-QLP: a Krylov Subspace Method for
Indefinite or Singular Symmetric Systems 1810--1836
Kapil Ahuja and
Bryan K. Clark and
Eric de Sturler and
David M. Ceperley and
Jeongnim Kim Improved Scaling for Quantum Monte Carlo
on Insulators . . . . . . . . . . . . . 1837--1859
YongHoon Kwon and
Younhee Lee A Second-Order Tridiagonal Method for
American Options under Jump-Diffusion
Models . . . . . . . . . . . . . . . . . 1860--1872
Yong-Tao Zhang and
Shanqin Chen and
Fengyan Li and
Hongkai Zhao and
Chi-Wang Shu Uniformly Accurate Discontinuous
Galerkin Fast Sweeping Methods for
Eikonal Equations . . . . . . . . . . . 1873--1896
L. F. Pavarino and
S. Scacchi Parallel Multilevel Schwarz and Block
Preconditioners for the Bidomain
Parabolic-Parabolic and
Parabolic-Elliptic Formulations . . . . 1897--1919
Thomas Peter and
Daniel Potts and
Manfred Tasche Nonlinear Approximation by Sums of
Exponentials and Translates . . . . . . 1920--1947
Karel Crombecq and
Dirk Gorissen and
Dirk Deschrijver and
Tom Dhaene A Novel Hybrid Sequential Design
Strategy for Global Surrogate Modeling
of Computer Experiments . . . . . . . . 1948--1974
R. K. Beatson and
W. zu Castell and
S. J. Schrödl Kernel-Based Methods for Vector-Valued
Data with Correlated Components . . . . 1975--1995
Ümit V. Çatalyürek and
Cevdet Aykanat and
Enver Kayaaslan Hypergraph Partitioning-Based
Fill-Reducing Ordering for Symmetric
Matrices . . . . . . . . . . . . . . . . 1996--2023
Giacomo Mazzi and
Benedict J. Leimkuhler Dimensional Reductions for the
Computation of Time-Dependent Quantum
Expectations . . . . . . . . . . . . . . 2024--2038
A. Nonaka and
S. May and
A. S. Almgren and
J. B. Bell A Three-Dimensional, Unsplit Godunov
Method for Scalar Conservation Laws . . 2039--2062
Yuanchang Sun and
Jack Xin Underdetermined Sparse Blind Source
Separation of Nonnegative and Partially
Overlapped Data . . . . . . . . . . . . 2063--2094
Bärbel Janssen and
Guido Kanschat Adaptive Multilevel Methods with Local
Smoothing for $ H^1 $- and $ H^{\mathrm
{curl}} $-Conforming High Order Finite
Element Methods . . . . . . . . . . . . 2095--2114
Tobias Preusser and
Martin Rumpf and
Stefan Sauter and
Lars Ole Schwen $3$D Composite Finite Elements for
Elliptic Boundary Value Problems with
Discontinuous Coefficients . . . . . . . 2115--2143
Y. Huang and
P. A. Forsyth and
G. Labahn Methods for Pricing American Options
under Regime Switching . . . . . . . . . 2144--2168
David Amsallem and
Charbel Farhat An Online Method for Interpolating
Linear Parametric Reduced-Order Models 2169--2198
M. Braack and
E. Burman and
N. Taschenberger Duality Based \em A Posteriori Error
Estimation for Quasi-Periodic Solutions
Using Time Averages . . . . . . . . . . 2199--2216
Daniel Y. Le Roux and
Michel Dieme and
Abdou Sene Time Discretization Schemes for Poincaré
Waves in Finite-Element Shallow-Water
Models . . . . . . . . . . . . . . . . . 2217--2246
Volker Betz and
Benjamin D. Goddard Nonadiabatic Transitions Through Tilted
Avoided Crossings . . . . . . . . . . . 2247--2276
Martin Balazovjech and
Karol Mikula A Higher Order Scheme for a Tangentially
Stabilized Plane Curve Shortening Flow
with a Driving Force . . . . . . . . . . 2277--2294
I. V. Oseledets Tensor-Train Decomposition . . . . . . . 2295--2317
Morten Dahlby and
Brynjulf Owren A General Framework for Deriving
Integral Preserving Numerical Methods
for PDEs . . . . . . . . . . . . . . . . 2318--2340
Robert Krasny and
Lei Wang Fast Evaluation of Multiquadric RBF Sums
by a Cartesian Treecode . . . . . . . . 2341--2355
Jun Luo and
Kun Xu and
Na Liu A Well-Balanced Symplecticity-Preserving
Gas-Kinetic Scheme for Hydrodynamic
Equations under Gravitational Field . . 2356--2381
Catherine Kublik and
Selim Esedo\uglu and
Jeffrey A. Fessler Algorithms for Area Preserving Flows . . 2382--2401
Shahnawaz Ahmed and
Stanley Bak and
Joyce McLaughlin and
Daniel Renzi A Third Order Accurate Fast Marching
Method for the Eikonal Equation in Two
Dimensions . . . . . . . . . . . . . . . 2402--2420
Jun Jia and
Jie Liu Stable and Spectrally Accurate Schemes
for the Navier--Stokes Equations . . . . 2421--2439
Tahír Malas and
Levent Gürel Schur Complement Preconditioners for
Surface Integral-Equation Formulations
of Dielectric Problems Solved with the
Multilevel Fast Multipole Algorithm . . 2440--2467
Zhisong Fu and
Won-Ki Jeong and
Yongsheng Pan and
Robert M. Kirby and
Ross T. Whitaker A Fast Iterative Method for Solving the
Eikonal Equation on Triangulated
Surfaces . . . . . . . . . . . . . . . . 2468--2488
Ulrike Baur and
Christopher Beattie and
Peter Benner and
Serkan Gugercin Interpolatory Projection Methods for
Parameterized Model Reduction . . . . . 2489--2518
Mark Richardson and
Lloyd N. Trefethen A Sinc Function Analogue of Chebfun . . 2519--2535
Ning Wang and
Jin-Luen Lee Geometric Properties of the
Icosahedral-Hexagonal Grid on the
Two-Sphere . . . . . . . . . . . . . . . 2536--2559
Gregor Gassner and
David A. Kopriva A Comparison of the Dispersion and
Dissipation Errors of Gauss and
Gauss--Lobatto Discontinuous Galerkin
Spectral Element Methods . . . . . . . . 2560--2579
Nathan Halko and
Per-Gunnar Martinsson and
Yoel Shkolnisky and
Mark Tygert An Algorithm for the Principal Component
Analysis of Large Data Sets . . . . . . 2580--2594
Stefania Bellavia and
Daniele Bertaccini and
Benedetta Morini Nonsymmetric Preconditioner Updates in
Newton--Krylov Methods for Nonlinear
Systems . . . . . . . . . . . . . . . . 2595--2619
John Harlim Interpolating Irregularly Spaced
Observations for Filtering Turbulent
Complex Systems . . . . . . . . . . . . 2620--2640
Max Gunzburger and
Ju Ming Optimal Control of Stochastic Flow over
a Backward-Facing Step Using
Reduced-Order Modeling . . . . . . . . . 2641--2663
Qiumei Huang and
Hehu Xie and
Hermann Brunner Superconvergence of Discontinuous
Galerkin Solutions for Delay
Differential Equations of Pantograph
Type . . . . . . . . . . . . . . . . . . 2664--2684
Ray Tuminaro and
Michele Benzi and
Xiao-Chuan Cai and
Iain Duff and
Howard Elman and
Roland Freund and
Kirk Jordan and
Tim Kelley and
David Keyes and
Misha Kilmer and
Sven Leyffer and
Tom Manteuffel and
Steve McCormick and
David Silvester and
Homer Walker Special Section: 2010 Copper Mountain
Conference . . . . . . . . . . . . . . . 2685--2685
Gérard Meurant Estimates of the Norm of the Error in
Solving Linear Systems with FOM and
GMRES . . . . . . . . . . . . . . . . . 2686--2705
Thomas A. Brunner and
Tzanio V. Kolev Algebraic Multigrid for Linear Systems
Obtained by Explicit Element Reduction 2706--2731
Tobias Weinzierl and
Miriam Mehl Peano --- a Traversal and Storage Scheme
for Octree-Like Adaptive Cartesian
Multiscale Grids . . . . . . . . . . . . 2732--2760
Michele Benzi and
Zhen Wang Analysis of Augmented Lagrangian-Based
Preconditioners for the Steady
Incompressible Navier--Stokes Equations 2761--2784
Fynn Scheben and
Ivan G. Graham Iterative Methods for Neutron Transport
Eigenvalue Problems . . . . . . . . . . 2785--2804
Lior Horesh and
Eldad Haber A Second Order Discretization of
Maxwell's Equations in the Quasi-Static
Regime on OcTree Grids . . . . . . . . . 2805--2822
Jok M. Tang and
Yousef Saad Domain-Decomposition-Type Methods for
Computing the Diagonal of a Matrix
Inverse . . . . . . . . . . . . . . . . 2823--2847
Yuancheng Luo and
Ramani Duraiswami Efficient Parallel Nonnegative Least
Squares on Multicore Architectures . . . 2848--2863
Allison H. Baker and
Robert D. Falgout and
Tzanio V. Kolev and
Ulrike Meier Yang Multigrid Smoothers for Ultraparallel
Computing . . . . . . . . . . . . . . . 2864--2887
James H. Lai and
Luke N. Olson Algebraic Multigrid for High-Order
Hierarchical $ H(c u r l) $ Finite
Elements . . . . . . . . . . . . . . . . 2888--2902
Tyrone Rees and
Andrew J. Wathen Preconditioning Iterative Methods for
the Optimal Control of the Stokes
Equations . . . . . . . . . . . . . . . 2903--2926
Eran Treister and
Irad Yavneh On-the-Fly Adaptive Smoothed Aggregation
Multigrid for Markov Chains . . . . . . 2927--2949
David Chin-Lung Fong and
Michael Saunders LSMR: An Iterative Algorithm for Sparse
Least-Squares Problems . . . . . . . . . 2950--2971
D. Chen and
S. MacLachlan and
M. Kilmer Iterative Parameter-Choice and Multigrid
Methods for Anisotropic Diffusion
Denoising . . . . . . . . . . . . . . . 2972--2994
Paul G. Constantine and
David F. Gleich and
Gianluca Iaccarino A Factorization of the Spectral Galerkin
System for Parameterized Matrix
Equations: Derivation and Applications 2995--3009
Jérôme Dubois and
Christophe Calvin and
Serge Petiton Accelerating the Explicitly Restarted
Arnoldi Method with GPUs Using an
Autotuned Matrix Vector Product . . . . 3010--3019
B. Carpentieri and
Y.-F. Jing and
T.-Z. Huang The BiCOR and CORS Iterative Algorithms
for Solving Nonsymmetric Linear Systems 3020--3036
Ronald B. Morgan and
Dywayne A. Nicely Restarting the Nonsymmetric Lanczos
Algorithm for Eigenvalues and Linear
Equations Including Multiple Right-Hand
Sides . . . . . . . . . . . . . . . . . 3037--3056
Eric de Sturler and
Misha E. Kilmer A Regularized Gauss--Newton Trust Region
Approach to Imaging in Diffuse Optical
Tomography . . . . . . . . . . . . . . . 3057--3086
Mark Ainsworth and
Gaelle Andriamaro and
Oleg Davydov Bernstein--Bézier Finite Elements of
Arbitrary Order and Optimal Assembly
Procedures . . . . . . . . . . . . . . . 3087--3109
Mofdi El-Amrani and
Mohammed Seaid An $ L^2 $-Projection for the
Galerkin-Characteristic Solution of
Incompressible Flows . . . . . . . . . . 3110--3131
Julianne Chung and
Matthias Chung and
Dianne P. O'Leary Designing Optimal Spectral Filters for
Inverse Problems . . . . . . . . . . . . 3132--3152
Jichun Li and
Yunqing Huang and
Yanping Lin Developing Finite Element Methods for
Maxwell's Equations in a Cole--Cole
Dispersive Medium . . . . . . . . . . . 3153--3174
Julianne Chung and
Glenn Easley and
Dianne P. O'Leary Windowed Spectral Regularization of
Inverse Problems . . . . . . . . . . . . 3175--3200
Chen Greif and
David Kurokawa A Note on the Convergence of SOR for the
PageRank Problem . . . . . . . . . . . . 3201--3209
Haseena Saran and
Hailiang Liu Alternating Evolution Schemes for
Hyperbolic Conservation Laws . . . . . . 3210--3240
Mark Lyon A Fast Algorithm for Fourier
Continuation . . . . . . . . . . . . . . 3241--3260
Jingu Kim and
Haesun Park Fast Nonnegative Matrix Factorization:
An Active-Set-Like Method and
Comparisons . . . . . . . . . . . . . . 3261--3281
Shuwang Li and
Xiaofan Li A Boundary Integral Method for Computing
the Dynamics of an Epitaxial Island . . 3282--3302
Hehu Xie and
Ran Zhang and
Hermann Brunner Collocation Methods for General Volterra
Functional Integral Equations with
Vanishing Delays . . . . . . . . . . . . 3303--3332
C. Klein and
K. Roidot Fourth Order Time-Stepping for
Kadomtsev--Petviashvili and
Davey--Stewartson Equations . . . . . . 3333--3356
Carlo Janna and
Massimiliano Ferronato Adaptive Pattern Research for Block FSAI
Preconditioning . . . . . . . . . . . . 3357--3380
Mayeul d'Avezac and
Ryan Botts and
Martin J. Mohlenkamp and
Alex Zunger Learning to Predict Physical Properties
using Sums of Separable Functions . . . 3381--3401
Monte Lunacek and
Ambarish Nag and
David M. Alber and
Kenny Gruchalla and
Christopher H. Chang and
Peter A. Graf Simulation, Characterization, and
Optimization of Metabolic Models with
the High Performance Systems Biology
Toolkit . . . . . . . . . . . . . . . . 3402--3424
Matthias Bolten and
Achi Brandt and
James Brannick and
Andreas Frommer and
Karsten Kahl and
Ira Livshits A Bootstrap Algebraic Multilevel Method
for Markov Chains . . . . . . . . . . . 3425--3446
Christof Vömel and
Beresford N. Parlett Detecting Localization in an Invariant
Subspace . . . . . . . . . . . . . . . . 3447--3467
Jie Chen and
Ilya Safro Algebraic Distance on Graphs . . . . . . 3468--3490
Andrey N. Chernikov and
Nikos P. Chrisochoides Multitissue Tetrahedral Image-to-mesh
Conversion with Guaranteed Quality and
Fidelity . . . . . . . . . . . . . . . . 3491--3508
B. Wang and
G. H. Miller and
P. Colella A Particle-in-cell Method with Adaptive
Phase-space Remapping for Kinetic
Plasmas . . . . . . . . . . . . . . . . 3509--3537
Filippo Terragni and
Eusebio Valero and
José M. Vega Local POD Plus Galerkin Projection in
the Unsteady Lid-Driven Cavity Problem 3538--3561
Hans Petter Langtangen SISC Redefined . . . . . . . . . . . . . vii--viii
S. A. Goreinov and
I. V. Oseledets and
D. V. Savostyanov Wedderburn Rank Reduction and Krylov
Subspace Method for Tensor
Approximation. Part 1: Tucker Case . . . A1--A27
Bernardo Cockburn and
Francisco-Javier Sayas and
Manuel Solano Coupling at a Distance HDG and BEM . . . A28--A47
S. MacLachlan and
D. Osei-Kuffuor and
Yousef Saad Modification and Compensation Strategies
for Threshold-based Incomplete
Factorizations . . . . . . . . . . . . . A48--A75
Max Duarte and
Marc Massot and
Stéphane Descombes and
Christian Tenaud and
Thierry Dumont and
Violaine Louvet and
Frédérique Laurent New Resolution Strategy for Multiscale
Reaction Waves using Time Operator
Splitting, Space Adaptive
Multiresolution, and Dedicated High
Order Implicit/Explicit Time Integrators A76--A104
Fausto Cavalli and
Giovanni Naldi and
Ilaria Perugia Discontinuous Galerkin Approximation of
Relaxation Models for Linear and
Nonlinear Diffusion Equations . . . . . A105--A136
Pavel P. Popov and
Stephen B. Pope The Direct Richardson $p$-th Order (DRp)
Schemes: a New Class of Time Integration
Schemes for Stochastic Differential
Equations . . . . . . . . . . . . . . . A137--A160
Martin Weiser and
Sebastian Götschel State Trajectory Compression for Optimal
Control with Parabolic PDEs . . . . . . A161--A184
Kees van den Doel and
Uri M. Ascher Adaptive and Stochastic Algorithms for
Electrical Impedance Tomography and DC
Resistivity Problems with Piecewise
Constant Solutions and Many Measurements A185--A205
James Demmel and
Laura Grigori and
Mark Hoemmen and
Julien Langou Communication-optimal Parallel and
Sequential $ Q R $ and $ L U $
Factorizations . . . . . . . . . . . . . A206--A239
Mihai Anitescu and
Jie Chen and
Lei Wang A Matrix-free Approach for Solving the
Parametric Gaussian Process Maximum
Likelihood Problem . . . . . . . . . . . A240--A262
S. Brdar and
A. Dedner and
R. Klöfkorn Compact and Stable Discontinuous
Galerkin Methods for
Convection-Diffusion Problems . . . . . A263--A282
Xiaoqun Wang Enhancing Quasi-Monte Carlo Methods by
Exploiting Additive Approximation for
Problems in Finance . . . . . . . . . . A283--A308
Hideaki Kaneko and
Khomsan Neamprem and
Boriboon Novaprateep Wavelet Collocation Method and
Multilevel Augmentation Method for
Hammerstein Equations . . . . . . . . . A309--A338
Zhenning Cai and
Ruo Li and
Zhonghua Qiao NR$ x x $ Simulation of Microflows with
Shakhov Model . . . . . . . . . . . . . A339--A369
Florent Renac and
Claude Marmignon and
Frédéric Coquel Time Implicit High-Order Discontinuous
Galerkin Method with Reduced Evaluation
Cost . . . . . . . . . . . . . . . . . . A370--A394
Ziqing Xie and
Yongjun Yuan and
Jianxin Zhou On Finding Multiple Solutions to a
Singularly Perturbed Neumann Problem . . A395--A420
Olivier Dubois and
Martin J. Gander and
Sébastien Loisel and
Amik St-Cyr and
Daniel B. Szyld The Optimized Schwarz Method with a
Coarse Grid Correction . . . . . . . . . A421--A458
Axel Klawonn and
Oliver Rheinbach Deflation, Projector Preconditioning,
and Balancing in Iterative
Substructuring Methods: Connections and
New Results . . . . . . . . . . . . . . A459--A484
Peter Benner and
Thomas Mach Computing All or Some Eigenvalues of
Symmetric $ \mathcal {H}_\ell $-Matrices A485--A496
Bernardo Cockburn and
Manuel Solano Solving Dirichlet Boundary-value
Problems on Curved Domains by Extensions
from Subdomains . . . . . . . . . . . . A497--A519
Laurent Gosse Maxwellian Decay for Well-balanced
Approximations of a Super-characteristic
Chemotaxis Model . . . . . . . . . . . . A520--A545
Emanuel H. Rubensson Controlling Errors in Recursive
Fermi--Dirac Operator Expansions with
Applications in Electronic Structure
Theory . . . . . . . . . . . . . . . . . B1--B23
G. J. Lord and
V. Thümmler Computing Stochastic Traveling Waves . . B24--B43
Khachik Sargsyan and
Cosmin Safta and
Bert Debusschere and
Habib Najm Uncertainty Quantification given
Discontinuous Model Response and a
Limited Number of Model Runs . . . . . . B44--B64
Philippe Gaudreau and
Richard M. Slevinsky and
Hassan Safouhi Computation of Tail Probabilities via
Extrapolation Methods and Connection
with Rational and Padé Approximants . . . B65--B85
G. Pichot and
J. Erhel and
J.-R. de Dreuzy A Generalized Mixed Hybrid Mortar Method
for Solving Flow in Stochastic Discrete
Fracture Networks . . . . . . . . . . . B86--B105
Hasan Metin Aktulga and
Sagar A. Pandit and
Adri C. T. van Duin and
Ananth Y. Grama Reactive Molecular Dynamics: Numerical
Methods and Algorithmic Techniques . . . C1--C23
Niclas Jansson and
Johan Hoffman and
Johan Jansson Framework for Massively Parallel
Adaptive Finite Element Computational
Fluid Dynamics on Tetrahedral Meshes . . C24--C41
Adam Chacon and
Alexander Vladimirsky Fast Two-scale Methods for Eikonal
Equations . . . . . . . . . . . . . . . A547--A578
Pauline Lafitte and
Giovanni Samaey Asymptotic-preserving Projective
Integration Schemes for Kinetic
Equations in the Diffusion Limit . . . . A579--A602
B. Hiriyur and
R. S. Tuminaro and
H. Waisman and
E. G. Boman and
D. E. Keyes A Quasi-algebraic Multigrid Approach to
Fracture Problems Based on Extended
Finite Elements . . . . . . . . . . . . A603--A626
Xiangxiong Zhang and
Yuanyuan Liu and
Chi-Wang Shu Maximum-principle-satisfying High Order
Finite Volume Weighted Essentially
Nonoscillatory Schemes for
Convection-diffusion Equations . . . . . A627--A658
Elisabeth Ullmann and
Howard C. Elman and
Oliver G. Ernst Efficient Iterative Solvers for
Stochastic Galerkin Discretizations of
Log-Transformed Random Diffusion
Problems . . . . . . . . . . . . . . . . A659--A682
Sebastian Holtz and
Thorsten Rohwedder and
Reinhold Schneider The Alternating Linear Scheme for Tensor
Optimization in the Tensor Train Format A683--A713
Henri Calandra and
Serge Gratton and
Julien Langou and
Xavier Pinel and
Xavier Vasseur Flexible Variants of Block Restarted
GMRES Methods with Application to
Geophysics . . . . . . . . . . . . . . . A714--A736
Gregory E. Fasshauer and
Michael J. McCourt Stable Evaluation of Gaussian Radial
Basis Function Interpolants . . . . . . A737--A762
R. Kissmann and
J. Pomoell A Semidiscrete Finite Volume Constrained
Transport Method on Orthogonal
Curvilinear Grids . . . . . . . . . . . A763--A791
G. Akrivis and
D. T. Papageorgiou and
Y.-S. Smyrlis Computational Study of the Dispersively
Modified Kuramoto--Sivashinsky Equation A792--A813
Jeroen A. S. Witteveen and
Gianluca Iaccarino Simplex Stochastic Collocation with
Random Sampling and Extrapolation for
Nonhypercube Probability Spaces . . . . A814--A838
G. Yu. Kulikov Global Error Control in Adaptive
Nordsieck Methods . . . . . . . . . . . A839--A860
Marsha Berger and
Christiane Helzel A Simplified $h$-box Method for Embedded
Boundary Grids . . . . . . . . . . . . . A861--A888
Robert Jan Labeur and
Garth N. Wells Energy Stable and Momentum Conserving
Hybrid Finite Element Method for the
Incompressible Navier--Stokes Equations A889--A913
Z. Zhang and
B. Rozovskii and
M. V. Tretyakov and
G. E. Karniadakis A Multistage Wiener Chaos Expansion
Method for Stochastic
Advection-Diffusion-Reaction Equations A914--A936
Martin Drohmann and
Bernard Haasdonk and
Mario Ohlberger Reduced Basis Approximation for
Nonlinear Parametrized Evolution
Equations based on Empirical Operator
Interpolation . . . . . . . . . . . . . A937--A969
Enver Kayaaslan and
Ali Pinar and
Ümit Çatalyürek and
Cevdet Aykanat Partitioning Hypergraphs in Scientific
Computing Applications through Vertex
Separators on Graphs . . . . . . . . . . A970--A992
Eitan Tadmor and
Knut Waagan Adaptive Spectral Viscosity for
Hyperbolic Conservation Laws . . . . . . A993--A1009
Edward Givelberg A Weak Formulation of the Immersed
Boundary Method . . . . . . . . . . . . A1010--A1026
Nick Vannieuwenhoven and
Raf Vandebril and
Karl Meerbergen A New Truncation Strategy for the
Higher-Order Singular Value
Decomposition . . . . . . . . . . . . . A1027--A1052
Piero Barone A Diffusion Equation for the Density of
the Ratio of Two Jointly Distributed
Gaussian Variables and the Exponential
Analysis Problem . . . . . . . . . . . . A1053--A1078
Artem Napov and
Yvan Notay An Algebraic Multigrid Method with
Guaranteed Convergence Rate . . . . . . A1079--A1109
Rafael G. Campos and
J. Rico-Melgoza and
Edgar Chávez A New Formulation of the Fast Fractional
Fourier Transform . . . . . . . . . . . A1110--A1125
Quan Deng and
Tobin A. Driscoll A Fast Treecode for Multiquadric
Interpolation with Varying Shape
Parameters . . . . . . . . . . . . . . . A1126--A1140
Jie Shen and
Haijun Yu Efficient Spectral Sparse Grid Methods
and Applications to High-Dimensional
Elliptic Equations II. Unbounded Domains A1141--A1164
Zhongqiang Zhang and
Minseok Choi and
George Em Karniadakis Error Estimates for the ANOVA Method
with Polynomial Chaos Interpolation:
Tensor Product Functions . . . . . . . . A1165--A1186
Toni Lassila and
Alfio Quarteroni and
Gianluigi Rozza A Reduced Basis Model with Parametric
Coupling for Fluid-Structure Interaction
Problems . . . . . . . . . . . . . . . . A1187--A1213
A. Potschka and
M. S. Mommer and
J. P. Schlöder and
H. G. Bock Newton--Picard-Based Preconditioning for
Linear-Quadratic Optimization Problems
with Time-Periodic Parabolic PDE
Constraints . . . . . . . . . . . . . . A1214--A1239
Dexuan Xie and
Yi Jiang and
Peter Brune and
L. Ridgway Scott A Fast Solver for a Nonlocal Dielectric
Continuum Model . . . . . . . . . . . . B107--B126
I. Yu. Gejadze and
V. Shutyaev On Computation of the Design Function
Gradient for the Sensor-Location Problem
in Variational Data Assimilation . . . . B127--B147
K. R. Arun A Numerical Scheme for Three-Dimensional
Front Propagation and Control of Jordan
Mode . . . . . . . . . . . . . . . . . . B148--B178
Qinghai Zhang and
Hans Johansen and
Phillip Colella A Fourth-Order Accurate Finite-Volume
Method with Structured Adaptive Mesh
Refinement for Solving the
Advection-Diffusion Equation . . . . . . B179--B201
Klaus Iglberger and
Georg Hager and
Jan Treibig and
Ulrich Rüde Expression Templates Revisited: a
Performance Analysis of Current
Methodologies . . . . . . . . . . . . . C42--C69
Christof Vömel and
Stanimire Tomov and
Jack Dongarra Divide and Conquer on Hybrid
GPU-Accelerated Multicore Systems . . . C70--C82
Szymon Jaroszewicz and
Marcin Korze\'n Arithmetic Operations on Independent
Random Variables: a Numerical Approach A1241--A1265
Zhen Peng and
Jin-Fa Lee A Scalable Nonoverlapping and
Nonconformal Domain Decomposition Method
for Solving Time-Harmonic Maxwell
Equations in $ \mathbb {R}^3 $ . . . . . A1266--A1295
Dan Kushnir and
Vladimir Rokhlin A Highly Accurate Solver for Stiff
Ordinary Differential Equations . . . . A1296--A1315
Johnathan M. Bardsley MCMC-Based Image Reconstruction with
Uncertainty Quantification . . . . . . . A1316--A1332
Andrey N. Chernikov and
Nikos P. Chrisochoides Generalized Insertion Region Guides for
Delaunay Mesh Refinement . . . . . . . . A1333--A1350
H. De Sterck A Nonlinear GMRES Optimization Algorithm
for Canonical Tensor Decomposition . . . A1351--A1379
Michael P. Friedlander and
Mark Schmidt Hybrid Deterministic-Stochastic Methods
for Data Fitting . . . . . . . . . . . . A1380--A1405
Yaw Kyei Space--time Finite Volume Differencing
Framework for Effective Higher-Order
Accurate Discretizations of Parabolic
Equations . . . . . . . . . . . . . . . A1406--A1431
Brittany D. Froese A Numerical Method for the Elliptic
Monge--Amp\`ere Equation with Transport
Boundary Conditions . . . . . . . . . . A1432--A1459
James Martin and
Lucas C. Wilcox and
Carsten Burstedde and
Omar Ghattas A Stochastic Newton MCMC Method for
Large-Scale Statistical Inverse Problems
with Application to Seismic Inversion A1460--A1487
Ilan Degani and
Antonella Zanna Optimal Quantum Control by an Adapted
Coordinate Ascent Algorithm . . . . . . A1488--A1521
Jeroen A. S. Witteveen and
Gianluca Iaccarino Refinement Criteria for Simplex
Stochastic Collocation with Local
Extremum Diminishing Robustness . . . . A1522--A1543
Roland Griesmaier and
Martin Hanke and
Thorsten Raasch Inverse Source Problems for the
Helmholtz Equation and the Windowed
Fourier Transform . . . . . . . . . . . A1544--A1562
Julien Coatléven Transparent Boundary Conditions for
Evolution Equations in Infinite Periodic
Strips . . . . . . . . . . . . . . . . . A1563--A1583
Howard C. Elman and
Karl Meerbergen and
Alastair Spence and
Minghao Wu Lyapunov Inverse Iteration for
Identifying Hopf Bifurcations in Models
of Incompressible Flow . . . . . . . . . A1584--A1606
Birte Schrader and
Sylvain Reboux and
Ivo F. Sbalzarini Choosing the Best Kernel: Performance
Models for Diffusion Operators in
Particle Methods . . . . . . . . . . . . A1607--A1634
Christian Kuehn Deterministic Continuation of Stochastic
Metastable Equilibria via Lyapunov
Equations and Ellipsoids . . . . . . . . A1635--A1658
G. Of and
G. J. Rodin and
O. Steinbach and
M. Taus Coupling of Discontinuous Galerkin
Finite Element and Boundary Element
Methods . . . . . . . . . . . . . . . . A1659--A1677
Debojyoti Ghosh and
James D. Baeder Compact Reconstruction Schemes with
Weighted ENO Limiting for Hyperbolic
Conservation Laws . . . . . . . . . . . A1678--A1706
Kathrin Hatz and
Johannes P. Schlöder and
Hans Georg Bock Estimating Parameters in Optimal Control
Problems . . . . . . . . . . . . . . . . A1707--A1728
Akil Narayan and
Dongbin Xiu Stochastic Collocation Methods on
Unstructured Grids in High Dimensions
via Interpolation . . . . . . . . . . . A1729--A1752
Ch. Chalons and
F. Coquel and
P. Engel and
Ch. Rohde Fast Relaxation Solvers for
Hyperbolic-Elliptic Phase Transition
Problems . . . . . . . . . . . . . . . . A1753--A1776
J. S. Hesthaven and
B. Stamm and
S. Zhang Certified Reduced Basis Method for the
Electric Field Integral Equation . . . . A1777--A1799
Assyr Abdulle and
David Cohen and
Gilles Vilmart and
Konstantinos C. Zygalakis High Weak Order Methods for Stochastic
Differential Equations Based on Modified
Equations . . . . . . . . . . . . . . . A1800--A1823
Laurent Bourgeois and
Nicolas Chaulet and
Houssem Haddar On Simultaneous Identification of the
Shape and Generalized Impedance Boundary
Condition in Obstacle Scattering . . . . A1824--A1848
J. Thuburn and
C. J. Cotter A Framework for Mimetic Discretization
of the Rotating Shallow-Water Equations
on Arbitrary Polygonal Grids . . . . . . B203--B225
Grigorios P. Zouros and
Neil V. Budko Transverse Electric Scattering on
Inhomogeneous Objects: Spectrum of
Integral Operator and Preconditioning B226--B246
Peter Monk and
Jiguang Sun Finite Element Methods for Maxwell's
Transmission Eigenvalues . . . . . . . . B247--B264
Raimund Bürger and
Ricardo Ruiz-Baier and
Héctor Torres A Stabilized Finite Volume Element
Formulation for
Sedimentation-Consolidation Processes B265--B289
Robert I. A. Patterson and
Wolfgang Wagner A Stochastic Weighted Particle Method
for Coagulation--Advection Problems . . B290--B311
Albert Parker and
Colin Fox Sampling Gaussian Distributions in
Krylov Spaces with Conjugate Gradients B312--B334
Alexander V. Shapeev Consistent Energy-Based
Atomistic/Continuum Coupling for
Two-Body Potentials in Three Dimensions B335--B360
I. Bogaert and
B. Michiels and
J. Fostier $ \mathcal {O}(1) $ Computation of
Legendre Polynomials and Gauss--Legendre
Nodes and Weights for Parallel Computing C83--C101
Udo Ziegler Block-Structured Adaptive Mesh
Refinement on Curvilinear-Orthogonal
Grids . . . . . . . . . . . . . . . . . C102--C121
Martin J. Gander and
Felix Kwok Best Robin Parameters for Optimized
Schwarz Methods at Cross Points . . . . A1849--A1879
Chad Lieberman and
Karen Willcox Goal-Oriented Inference: Approach,
Linear Theory, and Application to
Advection Diffusion . . . . . . . . . . A1880--A1904
Murtazo Nazarov and
Johan Hoffman On the Stability of the Dual Problem for
High Reynolds Number Flow Past a
Circular Cylinder in Two Dimensions . . A1905--A1924
Kapil Ahuja and
Eric de Sturler and
Serkan Gugercin and
Eun R. Chang Recycling BiCG with an Application to
Model Reduction . . . . . . . . . . . . A1925--A1949
Todd Arbogast and
Chieh-Sen Huang and
Thomas F. Russell A Locally Conservative
Eulerian--Lagrangian Method for a Model
Two-Phase Flow Problem in a
One-Dimensional Porous Medium . . . . . A1950--A1974
Patrick R. Amestoy and
Iain S. Duff and
Jean-Yves L'Excellent and
Yves Robert and
François-Henry Rouet and
Bora Uçar On Computing Inverse Entries of a Sparse
Matrix in an Out-of-Core Environment . . A1975--A1999
Tommy Elfving and
Per Christian Hansen and
Touraj Nikazad Semiconvergence and Relaxation
Parameters for Projected SIRT Algorithms A2000--A2017
B. Lee A Multigrid Framework for $ S_n $
Discretizations of the Boltzmann
Transport Equation . . . . . . . . . . . A2018--A2047
M. El Bouajaji and
V. Dolean and
M. J. Gander and
S. Lanteri Optimized Schwarz Methods for the
Time-Harmonic Maxwell Equations with
Damping . . . . . . . . . . . . . . . . A2048--A2071
Manuel Torrilhon Krylov--Riemann Solver for Large
Hyperbolic Systems of Conservation Laws A2072--A2091
Hans De Sterck A Self-Learning Algebraic Multigrid
Method for Extremal Singular Triplets
and Eigenpairs . . . . . . . . . . . . . A2092--A2117
Paul G. Constantine and
Qiqi Wang Residual Minimizing Model Interpolation
for Parameterized Nonlinear Dynamical
Systems . . . . . . . . . . . . . . . . A2118--A2144
Kevin Burrage and
Nicholas Hale and
David Kay An Efficient Implicit FEM Scheme for
Fractional-in-Space Reaction-Diffusion
Equations . . . . . . . . . . . . . . . A2145--A2172
M. J. Castro Díaz and
E. Fernández-Nieto A Class of Computationally Fast First
Order Finite Volume Solvers: PVM Methods A2173--A2196
Shidong Jiang and
Shravan Veerapaneni and
Leslie Greengard Integral Equation Methods for Unsteady
Stokes Flow in Two Dimensions . . . . . A2197--A2219
Haw-ren Fang and
Yousef Saad A Filtered Lanczos Procedure for Extreme
and Interior Eigenvalue Problems . . . . A2220--A2246
Jian Ping Wu and
Jun Zhao and
Jun Qiang Song and
Xiao Mei Li A Parallelization Technique Based on
Factor Combination and Graph
Partitioning for General Incomplete LU
Factorization . . . . . . . . . . . . . A2247--A2266
Carsten Carstensen and
Joscha Gedicke and
Eun-Jae Park Numerical Experiments for the
Arnold--Winther Mixed Finite Elements
for the Stokes Problem . . . . . . . . . A2267--A2287
Yvan Notay Aggregation-Based Algebraic Multigrid
for Convection-Diffusion Equations . . . A2288--A2316
Xiaobo Yang and
Weizhang Huang and
Jianxian Qiu A Moving Mesh WENO Method for
One-Dimensional Conservation Laws . . . A2317--A2343
Joseph Young and
Denis Ridzal An Application of Random Projection to
Parameter Estimation in Partial
Differential Equations . . . . . . . . . A2344--A2365
Wim Michiels and
Nicola Guglielmi An Iterative Method for Computing the
Pseudospectral Abscissa for a Class of
Nonlinear Eigenvalue Problems . . . . . A2366--A2393
Liya Asner and
Simon Tavener and
David Kay Adjoint-Based a Posteriori Error
Estimation for Coupled Time-Dependent
Systems . . . . . . . . . . . . . . . . A2394--A2419
Graham W. Alldredge and
Cory D. Hauck and
André L. Tits High-Order Entropy-Based Closures for
Linear Transport in Slab Geometry II: a
Computational Study of the Optimization
Problem . . . . . . . . . . . . . . . . B361--B391
L. E. Carr III and
C. F. Borges and
F. X. Giraldo An Element-Based Spectrally Optimized
Approximate Inverse Preconditioner for
the Euler Equations . . . . . . . . . . B392--B420
A. Popp and
B. I. Wohlmuth and
M. W. Gee and
W. A. Wall Dual Quadratic Mortar Finite Element
Methods for $3$D Finite Deformation
Contact . . . . . . . . . . . . . . . . B421--B446
Todd Arbogast and
Chieh-Sen Huang and
Chen-Hui Hung A Fully Conservative
Eulerian--Lagrangian Stream-Tube Method
for Advection-Diffusion Problems . . . . B447--B478
M. A. T. van Hinsberg and
J. H. M. Thije Boonkkamp and
F. Toschi and
H. J. H. Clercx On the Efficiency and Accuracy of
Interpolation Methods for Spectral Codes B479--B498
Oren E. Livne and
Achi Brandt Lean Algebraic Multigrid (LAMG): Fast
Graph Laplacian Linear Solver . . . . . B499--B522
Nathan Bell and
Steven Dalton and
Luke N. Olson Exposing Fine-Grained Parallelism in
Algebraic Multigrid Methods . . . . . . C123--C152
Awad H. Al-Mohy and
Nicholas J. Higham Improved Inverse Scaling and Squaring
Algorithms for the Matrix Logarithm . . C153--C169
Aydin Buluç and
John R. Gilbert Parallel Sparse Matrix-Matrix
Multiplication and Indexing:
Implementation and Experiments . . . . . C170--C191
Dmitry Pekurovsky P3DFFT: a Framework for Parallel
Computations of Fourier Transforms in
Three Dimensions . . . . . . . . . . . . C192--C209
David I. Ketcheson and
Kyle Mandli and
Aron J. Ahmadia and
Amal Alghamdi and
Manuel Quezada de Luna and
Matteo Parsani and
Matthew G. Knepley and
Matthew Emmett PyClaw: Accessible, Extensible, Scalable
Tools for Wave Propagation Problems . . C210--C231
Delin Chu and
Li-Zhi Liao and
Michael K. Ng Sparse Orthogonal Linear Discriminant
Analysis . . . . . . . . . . . . . . . . A2421--A2443
Hong Wang and
Treena S. Basu A Fast Finite Difference Method for
Two-Dimensional Space-Fractional
Diffusion Equations . . . . . . . . . . A2444--A2458
J. Tryoen and
O. Le Ma\^\itre and
A. Ern Adaptive Anisotropic Spectral Stochastic
Methods for Uncertain Scalar
Conservation Laws . . . . . . . . . . . A2459--A2481
Catherine E. Powell and
David J. Silvester Preconditioning Steady-State
Navier--Stokes Equations with Random
Data . . . . . . . . . . . . . . . . . . A2482--A2506
Kenneth L. Ho and
Leslie Greengard A Fast Direct Solver for Structured
Linear Systems by Recursive
Skeletonization . . . . . . . . . . . . A2507--A2532
Claudio Padra and
Rodolfo Rodríguez and
Mario Scheble An $ h p $ Finite Element Method to
Solve a Fluid-Solid Vibration Problem A2533--A2557
Gang Wu and
Yan-Chun Wang and
Xiao-Qing Jin A Preconditioned and Shifted GMRES
Algorithm for the PageRank Problem with
Multiple Damping Factors . . . . . . . . A2558--A2575
Peter Sonneveld On the Convergence Behavior of IDR($s$)
and Related Methods . . . . . . . . . . A2576--A2598
Jens Keiner and
Antje Vollrath A New Algorithm for the Nonequispaced
Fast Fourier Transform on the Rotation
Group . . . . . . . . . . . . . . . . . A2599--A2624
Simone Cacace and
Emiliano Cristiani and
Maurizio Falcone and
Athena Picarelli A Patchy Dynamic Programming Scheme for
a Class of Hamilton--Jacobi--Bellman
Equations . . . . . . . . . . . . . . . A2625--A2649
M. Tokman and
J. Loffeld and
P. Tranquilli New Adaptive Exponential Propagation
Iterative Methods of Runge--Kutta Type A2650--A2669
Danny M. Kaufman and
Dinesh K. Pai Geometric Numerical Integration of
Inequality Constrained, Nonsmooth
Hamiltonian Systems . . . . . . . . . . A2670--A2703
Hossein Zivari-Piran and
Wayne H. Enright Accurate First-Order Sensitivity
Analysis for Delay Differential
Equations . . . . . . . . . . . . . . . A2704--A2717
I. V. Oseledets and
S. V. Dolgov Solution of Linear Systems and Matrix
Inversion in the TT-Format . . . . . . . A2718--A2739
Christoph Lehrenfeld and
Arnold Reusken Nitsche--XFEM with Streamline Diffusion
Stabilization for a Two-Phase Mass
Transport Problem . . . . . . . . . . . A2740--A2759
Manuel Gräf and
Daniel Potts and
Gabriele Steidl Quadrature Errors, Discrepancies, and
Their Relations to Halftoning on the
Torus and the Sphere . . . . . . . . . . A2760--A2791
Xiangfeng Wang and
Xiaoming Yuan The Linearized Alternating Direction
Method of Multipliers for Dantzig
Selector . . . . . . . . . . . . . . . . A2792--A2811
Anna-Lena Gerner and
Karen Veroy Certified Reduced Basis Methods for
Parametrized Saddle Point Problems . . . A2812--A2836
M. J. Castro and
Carlos Parés and
Gabriella Puppo and
Giovanni Russo Central Schemes for Nonconservative
Hyperbolic Systems . . . . . . . . . . . B523--B558
Marianne Bessemoulin-Chatard and
Francis Filbet A Finite Volume Scheme for Nonlinear
Degenerate Parabolic Equations . . . . . B559--B583
Rongliang Chen and
Xiao-Chuan Cai Parallel One-Shot
Lagrange--Newton--Krylov--Schwarz
Algorithms for Shape Optimization of
Steady Incompressible Flows . . . . . . B584--B605
Veselin A. Dobrev and
Tzanio V. Kolev and
Robert N. Rieben High-Order Curvilinear Finite Element
Methods for Lagrangian Hydrodynamics . . B606--B641
M. J. Ruijter and
C. W. Oosterlee Two-Dimensional Fourier Cosine Series
Expansion Method for Pricing Financial
Options . . . . . . . . . . . . . . . . B642--B671
Torben Pätz and
Tobias Preusser Composite Finite Elements for a Phase
Change Model . . . . . . . . . . . . . . B672--B691
Ming-Chih Lai and
Wei-Fan Hu and
Wen-Wei Lin A Fractional Step Immersed Boundary
Method for Stokes Flow with an
Inextensible Interface Enclosing a Solid
Particle . . . . . . . . . . . . . . . . B692--B710
Andrew J. Christlieb and
Ronald D. Haynes and
Benjamin W. Ong A Parallel Space--time Algorithm . . . . C233--C248
Tan Bui-Thanh and
Omar Ghattas and
David Higdon Adaptive Hessian-Based Nonstationary
Gaussian Process Response Surface Method
for Probability Density Approximation
with Application to Bayesian Solution of
Large-Scale Inverse Problems . . . . . . A2837--A2871
Johannes Kraus Additive Schur Complement Approximation
and Application to Multilevel
Preconditioning . . . . . . . . . . . . A2872--A2895
Edmond Kwan-yu Chiu and
Qiqi Wang and
Rui Hu and
Antony Jameson A Conservative Mesh-Free Scheme and
Generalized Framework for Conservation
Laws . . . . . . . . . . . . . . . . . . A2896--A2916
G. Perrin and
C. Soize and
D. Duhamel and
C. Funfschilling Identification of Polynomial Chaos
Representations in High Dimension from a
Set of Realizations . . . . . . . . . . A2917--A2945
Jing Li and
Dongbin Xiu Computation of Failure Probability
Subject to Epistemic Uncertainty . . . . A2946--A2964
Amparo Gil and
Javier Segura and
Nico M. Temme Efficient and Accurate Algorithms for
the Computation and Inversion of the
Incomplete Gamma Function Ratios . . . . A2965--A2981
Daniel Appelö and
N. Anders Petersson A Fourth-Order Accurate Embedded
Boundary Method for the Wave Equation A2982--A3008
Marcus Webb and
Lloyd N. Trefethen and
Pedro Gonnet Stability of Barycentric Interpolation
Formulas for Extrapolation . . . . . . . A3009--A3015
S. V. Dolgov and
B. N. Khoromskij and
I. V. Oseledets Fast Solution of Parabolic Problems in
the Tensor Train/Quantized Tensor Train
Format with Initial Application to the
Fokker--Planck Equation . . . . . . . . A3016--A3038
William McLean Fast Summation by Interval Clustering
for an Evolution Equation with Memory A3039--A3056
Marc Lenoir and
Nicolas Salles Evaluation of $3$-D Singular and Nearly
Singular Integrals in Galerkin BEM for
Thin Layers . . . . . . . . . . . . . . A3057--A3078
Tzanio V. Kolev and
Panayot S. Vassilevski Parallel Auxiliary Space AMG Solver for
$ H({\rm div}) $ Problems . . . . . . . A3079--A3098
Fabian Schury and
Michael Stingl and
Fabian Wein Efficient Two-Scale Optimization of
Manufacturable Graded Structures . . . . B711--B733
Mohammed Lemou and
Florian Méhats Micro-Macro Schemes for Kinetic
Equations Including Boundary Layers . . B734--B760
S. Mishra and
Ch. Schwab and
J. Sukys Multilevel Monte Carlo Finite Volume
Methods for Shallow Water Equations with
Uncertain Topography in Multi-dimensions B761--B784
Michael Kolmbauer and
Ulrich Langer A Robust Preconditioned MinRes Solver
for Distributed Time-Periodic Eddy
Current Optimal Control Problems . . . . B785--B809
Alexander Bihlo and
Roman O. Popovych Invariant Discretization Schemes for the
Shallow-Water Equations . . . . . . . . B810--B839
L. Forestier-Coste and
S. Mancini A Finite Volume Preserving Scheme on
Nonuniform Meshes and for
Multidimensional Coalescence . . . . . . B840--B860
Giuseppe La Spina and
Mattia de' Michieli Vitturi High-Resolution Finite Volume Central
Schemes for a Compressible Two-Phase
Model . . . . . . . . . . . . . . . . . B861--B880
Ilias Bilionis and
Nicholas Zabaras Multidimensional Adaptive Relevance
Vector Machines for Uncertainty
Quantification . . . . . . . . . . . . . B881--B908
Bei Wang and
Greg Miller and
Phil Colella An Adaptive, High-Order Phase-Space
Remapping for the Two Dimensional
Vlasov--Poisson Equations . . . . . . . B909--B924
Azzam Haidar and
Hatem Ltaief and
Jack Dongarra Toward a High Performance Tile Divide
and Conquer Algorithm for the Dense
Symmetric Eigenvalue Problem . . . . . . C249--C274
Kenji Kashima and
Reiichiro Kawai On Weak Approximation of Stochastic
Differential Equations through Hard
Bounds by Mathematical Programming . . . A1--A21
S. Boscarino and
L. Pareschi and
G. Russo Implicit-Explicit Runge--Kutta Schemes
for Hyperbolic Systems and Kinetic
Equations in the Diffusion Limit . . . . A22--A51
Xiaoying Dai and
Yvon Maday Stable Parareal in Time Method for
First- and Second-Order Hyperbolic
Systems . . . . . . . . . . . . . . . . A52--A78
Cris Cecka and
Eric Darve Fourier-Based Fast Multipole Method for
the Helmholtz Equation . . . . . . . . . A79--A103
Helmut Harbrecht and
Johannes Tausch On the Numerical Solution of a Shape
Optimization Problem for the Heat
Equation . . . . . . . . . . . . . . . . A104--A121
Hailiang Liu and
Michael Pollack and
Haseena Saran Alternating Evolution Schemes for
Hamilton--Jacobi Equations . . . . . . . A122--A149
Bokai Yan and
Shi Jin A Successive Penalty-Based
Asymptotic-Preserving Scheme for Kinetic
Equations . . . . . . . . . . . . . . . A150--A172
Peter R. Brune and
Matthew G. Knepley and
L. Ridgway Scott Unstructured Geometric Multigrid in Two
and Three Dimensions on Complex and
Graded Meshes . . . . . . . . . . . . . A173--A191
Stefania Bellavia and
Jacek Gondzio and
Benedetta Morini A Matrix-Free Preconditioner for Sparse
Symmetric Positive Definite Systems and
Least-Squares Problems . . . . . . . . . A192--A211
Hanieh Mirzaee and
James King and
Jennifer K. Ryan and
Robert M. Kirby Smoothness-Increasing
Accuracy-Conserving Filters for
Discontinuous Galerkin Solutions over
Unstructured Triangular Meshes . . . . . A212--A230
Ebrahim M. Kolahdouz and
David Salac A Semi-implicit Gradient Augmented Level
Set Method . . . . . . . . . . . . . . . A231--A254
Jared L. Aurentz and
Raf Vandebril and
David S. Watkins Fast Computation of the Zeros of a
Polynomial via Factorization of the
Companion Matrix . . . . . . . . . . . . A255--A269
Nick Vannieuwenhoven and
Karl Meerbergen IMF: an Incomplete Multifrontal $ L U
$-Factorization for Element-Structured
Sparse Linear Systems . . . . . . . . . A270--A293
Shawn W. Walker Tetrahedralization of Isosurfaces with
Guaranteed-Quality by Edge Rearrangement
(TIGER) . . . . . . . . . . . . . . . . A294--A326
Roel Van Beeumen and
Karl Meerbergen and
Wim Michiels A Rational Krylov Method Based on
Hermite Interpolation for Nonlinear
Eigenvalue Problems . . . . . . . . . . A327--A350
David I. Ketcheson and
Matteo Parsani and
Randall J. LeVeque High-Order Wave Propagation Algorithms
for Hyperbolic Systems . . . . . . . . . A351--A377
Adam M. Oberman A Numerical Method for Variational
Problems with Convexity Constraints . . A378--A396
Mila Nikolova and
Michael K. Ng and
Chi-Pan Tam On $ \ell_1 $ Data Fitting and Concave
Regularization for Image Recovery . . . A397--A430
Marco Caliari and
Alexander Ostermann and
Stefan Rainer Meshfree Exponential Integrators . . . . A431--A452
David Fritzsche and
Andreas Frommer and
Stephen D. Shank and
Daniel B. Szyld Overlapping Blocks by Growing a
Partition with Applications to
Preconditioning . . . . . . . . . . . . A453--A473
Carla D. Martin and
Richard Shafer and
Betsy LaRue An Order-$p$ Tensor Factorization with
Applications in Imaging . . . . . . . . A474--A490
Santiago Badia and
Joan Baiges Adaptive Finite Element Simulation of
Incompressible Flows by Hybrid
Continuous-Discontinuous Galerkin
Formulations . . . . . . . . . . . . . . A491--A516
Xuan Vinh Doan and
Kim-Chuan Toh and
Stephen Vavasis A Proximal Point Algorithm for
Sequential Feature Extraction
Applications . . . . . . . . . . . . . . A517--A540
Hans De Sterck and
Killian Miller An Adaptive Algebraic Multigrid
Algorithm for Low-Rank Canonical Tensor
Decomposition . . . . . . . . . . . . . B1--B24
A. S. Almgren and
A. J. Aspden and
J. B. Bell and
M. L. Minion On the Use of Higher-Order Projection
Methods for Incompressible Turbulent
Flow . . . . . . . . . . . . . . . . . . B25--B42
Penny J. Davies and
Dugald B. Duncan Convolution-in-Time Approximations of
Time Domain Boundary Integral Equations B43--B61
Lubomír Banas and
Zdzislaw Brze\'zniak and
Andreas Prohl Computational Studies for the Stochastic
Landau--Lifshitz--Gilbert Equation . . . B62--B81
Yassine Boubendir and
Svetlana Tlupova Domain Decomposition Methods for Solving
Stokes--Darcy Problems with Boundary
Integrals . . . . . . . . . . . . . . . B82--B106
Simon L. Cotter and
Tomás Vejchodský and
Radek Erban Adaptive Finite Element Method Assisted
by Stochastic Simulation of Chemical
Systems . . . . . . . . . . . . . . . . B107--B131
Martin Burger and
Jan Modersitzki and
Lars Ruthotto A Hyperelastic Regularization Energy for
Image Registration . . . . . . . . . . . B132--B148
Chih-Che Chueh and
Ned Djilali and
Wolfgang Bangerth An $h$-Adaptive Operator Splitting
Method for Two-Phase Flow in $3$D
Heterogeneous Porous Media . . . . . . . B149--B175
Grady I. Lemoine and
M. Yvonne Ou and
Randall J. LeVeque High-Resolution Finite Volume Modeling
of Wave Propagation in Orthotropic
Poroelastic Media . . . . . . . . . . . B176--B206
T. B. Jönsthövel and
M. B. van Gijzen and
C. Vuik and
A. Scarpas On the Use of Rigid Body Modes in the
Deflated Preconditioned Conjugate
Gradient Method . . . . . . . . . . . . B207--B225
Alison Ramage and
Eugene C. Gartland, Jr. A Preconditioned Nullspace Method for
Liquid Crystal Director Modeling . . . . B226--B247
Yunqing Huang and
Jichun Li and
Wei Yang Modeling Backward Wave Propagation in
Metamaterials by the Finite Element
Time-Domain Method . . . . . . . . . . . B248--B274
Geunseop Lee and
Haoying Fu and
Jesse L. Barlow Fast High-Resolution Image
Reconstruction Using Tikhonov
Regularization Based Total Least Squares B275--B290
Patrice Hauret and
Frédéric Hecht A Discrete Differential Sequence for
Elasticity Based upon Continuous
Displacements . . . . . . . . . . . . . B291--B314
M. Petschow and
E. Peise and
P. Bientinesi High-Performance Solvers for Dense
Hermitian Eigenproblems . . . . . . . . C1--C22
André Massing and
Mats G. Larson and
Anders Logg Efficient Implementation of Finite
Element Methods on Nonmatching and
Overlapping Meshes in Three Dimensions C23--C47
P. Ghysels and
T. J. Ashby and
K. Meerbergen and
W. Vanroose Hiding Global Communication Latency in
the GMRES Algorithm on Massively
Parallel Machines . . . . . . . . . . . C48--C71
Nicolas Bock and
Matt Challacombe An Optimized Sparse Approximate Matrix
Multiply for Matrices with Decay . . . . C72--C98
Seher Acer and
Enver Kayaaslan and
Cevdet Aykanat A Recursive Bipartitioning Algorithm for
Permuting Sparse Square Matrices into
Block Diagonal Form with Overlap . . . . C99--C121
Saptarshi Das and
Arnold Neumaier Solving Overdetermined Eigenvalue
Problems . . . . . . . . . . . . . . . . A541--A560
Jorgen L. Nikolajsen Fractional Significant Digits . . . . . A561--A576
Jie Chen On the Use of Discrete Laplace Operator
for Preconditioning Kernel Matrices . . A577--A602
Florian Kummer and
Martin Oberlack An Extension of the Discontinuous
Galerkin Method for the Singular Poisson
Equation . . . . . . . . . . . . . . . . A603--A622
Christiane Helzel and
James A. Rossmanith and
Bertram Taetz A High-Order Unstaggered
Constrained-Transport Method for the
Three-Dimensional Ideal
Magnetohydrodynamic Equations Based on
the Method of Lines . . . . . . . . . . A623--A651
Nicholas Hale and
Alex Townsend Fast and Accurate Computation of
Gauss--Legendre and Gauss--Jacobi
Quadrature Nodes and Weights . . . . . . A652--A674
Rongjie Lai and
Xue-Cheng Tai and
Tony F. Chan A Ridge and Corner Preserving Model for
Surface Restoration . . . . . . . . . . A675--A695
Eugene Vecharynski and
Andrew V. Knyazev Absolute Value Preconditioning for
Symmetric Indefinite Linear Systems . . A696--A718
Sheng-Gwo Chen and
Jyh-Yang Wu Discrete Conservation Laws on Curved
Surfaces . . . . . . . . . . . . . . . . A719--A739
Paul R. Willems and
Bruno Lang A Framework for the $ M R^3 $ Algorithm:
Theory and Implementation . . . . . . . A740--A766
Nathan Collier and
Lisandro Dalcin and
David Pardo and
V. M. Calo The Cost of Continuity: Performance of
Iterative Solvers on Isogeometric Finite
Elements . . . . . . . . . . . . . . . . A767--A784
Bjòrn Fredrik Nielsen and
Kent-Andre Mardal Analysis of the Minimal Residual Method
Applied to Ill Posed Optimality Systems A785--A814
Emmanuil H. Georgoulis and
Jeremy Levesley and
Fazli Subhan Multilevel Sparse Kernel-Based
Interpolation . . . . . . . . . . . . . A815--A831
Jianlin Xia Efficient Structured Multifrontal
Factorization for General Large Sparse
Matrices . . . . . . . . . . . . . . . . A832--A860
Jaime Carpio and
Juan Luis Prieto and
Rodolfo Bermejo Anisotropic ``Goal-Oriented'' Mesh
Adaptivity for Elliptic Problems . . . . A861--A885
R. Aubry and
K. Karamete and
E. Mestreau and
S. Dey and
R. Löhner Linear Sources for Mesh Generation . . . A886--A907
Stefano Berrone and
Sandra Pieraccini and
Stefano Scial\`o On Simulations of Discrete Fracture
Network Flows with an Optimization-Based
Extended Finite Element Method . . . . . A908--A935
D. Fournier and
R. Herbin and
R. Le Tellier Discontinuous Galerkin Discretization
and $ h p $-Refinement for the
Resolution of the Neutron Transport
Equation . . . . . . . . . . . . . . . . A936--A956
M. Parsani and
David I. Ketcheson and
W. Deconinck Optimized Explicit Runge--Kutta Schemes
for the Spectral Difference Method
Applied to Wave Propagation Problems . . A957--A986
V. Khoromskaia and
B. N. Khoromskij and
R. Schneider Tensor-Structured Factorized Calculation
of Two-Electron Integrals in a General
Basis . . . . . . . . . . . . . . . . . A987--A1010
M. Shakourifar and
W. H. Enright The Cost/Reliability Trade-Off in
Verifying Approximate Solutions to
Differential Equations with Distributed
Delays . . . . . . . . . . . . . . . . . A1011--A1023
Lothar Nannen and
Thorsten Hohage and
Achim Schädle and
Joachim Schöberl Exact Sequences of High Order Hardy
Space Infinite Elements for Exterior
Maxwell Problems . . . . . . . . . . . . A1024--A1048
Jian Cheng and
Yaowen Lu and
Tiegang Liu Multidomain Hybrid RKDG and WENO Methods
for Hyperbolic Conservation Laws . . . . A1049--A1072
Marc Alexander Schweitzer Variational Mass Lumping in the
Partition of Unity Method . . . . . . . A1073--A1097
Jan Hegemann and
Alejandro Cantarero and
Casey L. Richardson and
Joseph M. Teran An Explicit Update Scheme for Inverse
Parameter and Interface Estimation of
Piecewise Constant Coefficients in
Linear Elliptic PDEs . . . . . . . . . . A1098--A1119
K. Lipnikov and
D. Svyatskiy and
Y. Vassilevski Anderson Acceleration for Nonlinear
Finite Volume Scheme for
Advection-Diffusion Problems . . . . . . A1120--A1136
Yan Jiang and
Chi-Wang Shu and
Mengping Zhang An Alternative Formulation of Finite
Difference Weighted ENO Schemes with
Lax--Wendroff Time Discretization for
Conservation Laws . . . . . . . . . . . A1137--A1160
Shu-Lin Wu and
Ting-Zhu Huang Schwarz Waveform Relaxation for a
Neutral Functional Partial Differential
Equation Model of Lossless Coupled
Transmission Lines . . . . . . . . . . . A1161--A1191
Yves Bourgault and
Marco Picasso Anisotropic Error Estimates and Space
Adaptivity for a Semidiscrete Finite
Element Approximation of the Transient
Transport Equation . . . . . . . . . . . A1192--A1211
Yuichiro Miki and
Teruyoshi Washizawa A$^2$ILU: Auto-accelerated ILU
Preconditioner for Sparse Linear Systems A1212--A1232
Andreas Bartel and
Markus Brunk and
Michael Günther and
Sebastian Schöps Dynamic Iteration for Coupled Problems
of Electric Circuits and Distributed
Devices . . . . . . . . . . . . . . . . B315--B335
Hyenkyun Woo and
Sangwoon Yun Proximal Linearized Alternating
Direction Method for Multiplicative
Denoising . . . . . . . . . . . . . . . B336--B358
Jed Brown and
Barry Smith and
Aron Ahmadia Achieving Textbook Multigrid Efficiency
for Hydrostatic Ice Sheet Flow . . . . . B359--B375
Vladimir Druskin and
Rob Remis A Krylov Stability-Corrected
Coordinate-Stretching Method to Simulate
Wave Propagation in Unbounded Domains B376--B400
L. Métivier and
R. Brossier and
J. Virieux and
S. Operto Full Waveform Inversion and the
Truncated Newton Method . . . . . . . . B401--B437
Sonia Fliss A Dirichlet-to--Neumann Approach for the
Exact Computation of Guided Modes in
Photonic Crystal Waveguides . . . . . . B438--B461
Hong Wang and
Weidong Zhao and
Magne S. Espedal and
Aleksey S. Telyakovskiy A Component-Based Eulerian--Lagrangian
Formulation for Multicomponent
Multiphase Compositional Flow and
Transport in Porous Media . . . . . . . B462--B486
Stefano Berrone and
Sandra Pieraccini and
Stefano Scial\`o A PDE-Constrained Optimization
Formulation for Discrete Fracture
Network Flows . . . . . . . . . . . . . B487--B510
Bradley M. Bell and
Abraham D. Flaxman A Statistical Model and Estimation of
Disease Rates as Functions of Age and
Time . . . . . . . . . . . . . . . . . . B511--B528
Benjamin Rosenbaum and
Volker Schulz Efficient Response Surface Methods Based
on Generic Surrogate Models . . . . . . B529--B550
Martin J. Gander and
Stefan Güttel PARAEXP: a Parallel Integrator for
Linear Initial-Value Problems . . . . . C123--C142
Che-Rung Lee Minimal Split Checkerboard Method for
Exponentiating Sparse Matrices and Its
Applications in Quantum Statistical
Mechanics . . . . . . . . . . . . . . . C143--C171
Gregor J. Gassner A Skew-Symmetric Discontinuous Galerkin
Spectral Element Discretization and Its
Relation to SBP--SAT Finite Difference
Methods . . . . . . . . . . . . . . . . A1233--A1253
Burhan Sadiq and
Divakar Viswanath Barycentric Hermite Interpolation . . . A1254--A1270
O. Lass and
S. Volkwein POD Galerkin Schemes for Nonlinear
Elliptic-Parabolic Systems . . . . . . . A1271--A1298
Zaiwen Wen and
Andre Milzarek and
Michael Ulbrich and
Hongchao Zhang Adaptive Regularized Self-Consistent
Field Iteration with Exact Hessian for
Electronic Structure Calculation . . . . A1299--A1324
Yuji Nakatsukasa and
Nicholas J. Higham Stable and Efficient Spectral Divide and
Conquer Algorithms for the Symmetric
Eigenvalue Decomposition and the SVD . . A1325--A1349
Jungho Lee Two Domain Decomposition Methods for
Auxiliary Linear Problems of a Multibody
Elliptic Variational Inequality . . . . A1350--A1375
Mike A. Botchev and
Volker Grimm and
Marlis Hochbruck Residual, Restarting, and Richardson
Iteration for the Matrix Exponential . . A1376--A1397
Wei Xu and
Thomas F. Coleman Efficient (Partial) Determination of
Derivative Matrices via Automatic
Differentiation . . . . . . . . . . . . A1398--A1416
Paola F. Antonietti and
Stefano Giani and
Paul Houston $ h p $-Version Composite Discontinuous
Galerkin Methods for Elliptic Problems
on Complicated Domains . . . . . . . . . A1417--A1439
G. Migliorati and
F. Nobile and
E. von Schwerin and
R. Tempone Approximation of Quantities of Interest
in Stochastic PDEs by the Random
Discrete $ L^2 $ Projection on
Polynomial Spaces . . . . . . . . . . . A1440--A1460
Jian Liang and
Hongkai Zhao Solving Partial Differential Equations
on Point Clouds . . . . . . . . . . . . A1461--A1486
G. Al\`\i and
N. Banagaaya and
W. H. A. Schilders and
C. Tischendorf Index-Aware Model Order Reduction for
Linear Index-$2$ DAEs with Constant
Coefficients . . . . . . . . . . . . . . A1487--A1510
Vladimir A. Kazeev and
Boris N. Khoromskij and
Eugene E. Tyrtyshnikov Multilevel Toeplitz Matrices Generated
by Tensor-Structured Vectors and
Convolution with Logarithmic Complexity A1511--A1536
Mario Arioli and
Emmanuil H. Georgoulis and
Daniel Loghin Stopping Criteria for Adaptive Finite
Element Solvers . . . . . . . . . . . . A1537--A1559
Abdou Garba and
Pierre Haldenwang A Helmholtz--Hodge Projection Method
Using an Iterative Gauge Computation to
Solve the $3$D Generalized Stokes
Problem . . . . . . . . . . . . . . . . A1560--A1583
Dirk Lebiedz and
Jochen Siehr A Continuation Method for the Efficient
Solution of Parametric Optimization
Problems in Kinetic Model Reduction . . A1584--A1603
Qiumei Huang and
Hehu Xie and
Hermann Brunner The $ h p $ Discontinuous Galerkin
Method for Delay Differential Equations
with Nonlinear Vanishing Delay . . . . . A1604--A1620
V. Druskin and
V. Simoncini and
M. Zaslavsky Solution of the Time-Domain Inverse
Resistivity Problem in the Model
Reduction Framework. Part I.
One-Dimensional Problem with SISO Data A1621--A1640
Xin Liu and
Zaiwen Wen and
Yin Zhang Limited Memory Block Krylov Subspace
Optimization for Computing Dominant
Singular Value Decompositions . . . . . A1641--A1668
Ning Wang An Efficient Search Algorithm for
Minimum Covering Polygons on the Sphere A1669--A1688
Carlos J. S. Alves and
Pedro R. S. Antunes The Method of Fundamental Solutions
Applied to Some Inverse Eigenproblems A1689--A1708
Andreas Kleefeld and
Tzu-Chu Lin A Global Galerkin Method for Solving the
Exterior Neumann Problem for the
Helmholtz Equation Using Panich's
Integral Equation Approach . . . . . . . A1709--A1735
Mohamed M. S. Nasser and
Fayzah A. A. Al-Shihri A Fast Boundary Integral Equation Method
for Conformal Mapping of Multiply
Connected Regions . . . . . . . . . . . A1736--A1760
Cristóbal Bertoglio and
Alfonso Caiazzo and
Miguel A. Fernández Fractional-Step Schemes for the Coupling
of Distributed and Lumped Models in
Hemodynamics . . . . . . . . . . . . . . B551--B575
J. L. Peterson and
G. W. Hammett Positivity Preservation and Advection
Algorithms with Applications to Edge
Plasma Turbulence . . . . . . . . . . . B576--B605
Paola Goatin and
Matthias Mimault The Wave-Front Tracking Algorithm for
Hughes' Model of Pedestrian Motion . . . B606--B622
Christoph Börgers and
Alexander R. Nectow Exponential Time Differencing for
Hodgkin--Huxley-like ODEs . . . . . . . B623--B643
Keijo Hämäläinen and
Aki Kallonen and
Ville Kolehmainen and
Matti Lassas and
Kati Niinimäki and
Samuli Siltanen Sparse Tomography . . . . . . . . . . . B644--B665
Marcus Drosson and
Koen Hillewaert and
Jean-André Essers Stability and Boundary Resolution
Analysis of the Discontinuous Galerkin
Method Applied to the Reynolds-Averaged
Navier--Stokes Equations Using the
Spalart--Allmaras Model . . . . . . . . B666--B700
Eric C. Cyr and
John N. Shadid and
Raymond S. Tuminaro and
Roger P. Pawlowski and
Luis Chacón A New Approximate Block Factorization
Preconditioner for Two-Dimensional
Incompressible (Reduced) Resistive MHD B701--B730
Braxton Osting and
Chiu-Yen Kao Minimal Convex Combinations of
Sequential Laplace--Dirichlet
Eigenvalues . . . . . . . . . . . . . . B731--B750
Raimund Bürger and
Pep Mulet and
Luis M. Villada Regularized Nonlinear Solvers for IMEX
Methods Applied to Diffusively Corrected
Multispecies Kinematic Flow Models . . . B751--B777
Laura Homa and
Daniela Calvetti and
Alexander Hoover and
Erkki Somersalo Bayesian Preconditioned CGLS for Source
Separation in MEG Time Series . . . . . B778--B798
Shi Jin and
Li Wang Asymptotic-Preserving Numerical Schemes
for the Semiconductor Boltzmann Equation
Efficient in the High Field Regime . . . B799--B819
Marie E. Rognes and
Anders Logg Automated Goal-Oriented Error Control I:
Stationary Variational Problems . . . . C173--C193
Jack Poulson and
Björn Engquist and
Siwei Li and
Lexing Ying A Parallel Sweeping Preconditioner for
Heterogeneous $3$D Helmholtz Equations C194--C212
Michael Pippig PFFT: an Extension of FFTW to Massively
Parallel Architectures . . . . . . . . . C213--C236
Kadir Akbudak and
Enver Kayaaslan and
Cevdet Aykanat Hypergraph Partitioning Based Models and
Methods for Exploiting Cache Locality in
Sparse Matrix-Vector Multiplication . . C237--C262
Lu Wang and
Xiaozhe Hu and
Jonathan Cohen and
Jinchao Xu A Parallel Auxiliary Grid Algebraic
Multigrid Method for Graphic Processing
Units . . . . . . . . . . . . . . . . . C263--C283
Pascal Havé and
Roland Masson and
Frédéric Nataf and
Mikolaj Szydlarski and
Hua Xiang and
Tao Zhao Algebraic Domain Decomposition Methods
for Highly Heterogeneous Problems . . . C284--C302
J. D. Hogg A Fast Dense Triangular Solve in CUDA C303--C322
Alexandre Ern and
Martin Vohralík Adaptive Inexact Newton Methods with \em
A Posteriori Stopping Criteria for
Nonlinear Diffusion PDEs . . . . . . . . A1761--A1791
Assyr Abdulle and
Gilles Vilmart and
Konstantinos C. Zygalakis Weak Second Order Explicit Stabilized
Methods for Stiff Stochastic
Differential Equations . . . . . . . . . A1792--A1814
Rodolfo Bermejo and
Juan Luis Prieto A Semi-Lagrangian Particle Level Set
Finite Element Method for Interface
Problems . . . . . . . . . . . . . . . . A1815--A1846
D. P. Kouri and
M. Heinkenschloss and
D. Ridzal and
B. G. van Bloemen Waanders A Trust-Region Algorithm with Adaptive
Stochastic Collocation for PDE
Optimization under Uncertainty . . . . . A1847--A1879
D. Dahiya and
S. Baskar and
F. Coulouvrat Characteristic Fast Marching Method for
Monotonically Propagating Fronts in a
Moving Medium . . . . . . . . . . . . . A1880--A1902
Zhongxiao Jia and
Qian Zhang An Approach to Making SPAI and PSAI
Preconditioning Effective for Large
Irregular Sparse Linear Systems . . . . A1903--A1927
Jobst Heitzig Moving Taylor Bayesian Regression for
Nonparametric Multidimensional Function
Estimation with Possibly Correlated
Errors . . . . . . . . . . . . . . . . . A1928--A1950
Frédéric Legoll and
Tony Leli\`evre and
Giovanni Samaey A Micro-Macro Parareal Algorithm:
Application to Singularly Perturbed
Ordinary Differential Equations . . . . A1951--A1986
T. Warburton A Low-Storage Curvilinear Discontinuous
Galerkin Method for Wave Problems . . . A1987--A2012
Sebastian Reich A Nonparametric Ensemble Transform
Method for Bayesian Inference . . . . . A2013--A2024
Omar Lakkis and
Tristan Pryer A Finite Element Method for Nonlinear
Elliptic Problems . . . . . . . . . . . A2025--A2045
C. Fenu and
D. Martin and
L. Reichel and
G. Rodriguez Network Analysis via Partial Spectral
Factorization and Gauss Quadrature . . . A2046--A2068
Ruipeng Li and
Yousef Saad Divide and Conquer Low-Rank
Preconditioners for Symmetric Matrices A2069--A2095
Elisabeth Larsson and
Erik Lehto and
Alfa Heryudono and
Bengt Fornberg Stable Computation of Differentiation
Matrices and Scattered Node Stencils
Based on Gaussian Radial Basis Functions A2096--A2119
Chandrajit Bajaj and
Benedikt Bauer and
Radhakrishna Bettadapura and
Antje Vollrath Nonuniform Fourier Transforms for
Rigid-Body and Multidimensional
Rotational Correlations . . . . . . . . B821--B845
K. L. Hamlington and
Y.-Y. Kwan and
H. Fujioka and
R. Cortez and
D. P. Gaver III Evaluation of Grid-Based and Grid-Free
Methods to Model Microchannel
Transport-Reaction . . . . . . . . . . . B846--B867
Chanhao Yan and
Wei Cai and
Xuan Zeng A Parallel Method for Solving Laplace
Equations with Dirichlet Data Using
Local Boundary Integral Equations and
Random Walks . . . . . . . . . . . . . . B868--B889
H. Cho and
D. Venturi and
G. E. Karniadakis Adaptive Discontinuous Galerkin Method
for Response-Excitation PDF Equations B890--B911
Yizhuang Song and
Hyeuknam Kwon and
Kiwan Jeon and
Yoon Mo Jung and
Jin Keun Seo and
Eung Je Woo Analysis and Blocking of Error
Propagation by Region-Dependent Noisy
Data in MREIT . . . . . . . . . . . . . B912--B924
Robin Chatelin and
Philippe Poncet A Hybrid Grid-Particle Method for Moving
Bodies in $3$D Stokes Flow with Variable
Viscosity . . . . . . . . . . . . . . . B925--B949
Michael P. Friedlander and
Mark Schmidt Erratum: Hybrid Deterministic-Stochastic
Methods for Data Fitting . . . . . . . . B950--B951
Alfredo Buttari Fine-Grained Multithreading for the
Multifrontal $ Q R $ Factorization of
Sparse Matrices . . . . . . . . . . . . C323--C345
Rachel N. Robey and
David Nicholaeff and
Robert W. Robey Hash-Based Algorithms for Discretized
Data . . . . . . . . . . . . . . . . . . C346--C368
P. E. Farrell and
D. A. Ham and
S. W. Funke and
M. E. Rognes Automated Derivation of the Adjoint of
High-Level Transient Finite Element
Programs . . . . . . . . . . . . . . . . C369--C393
Awad H. Al-Mohy and
Nicholas J. Higham and
Samuel D. Relton Computing the Fréchet Derivative of the
Matrix Logarithm and Estimating the
Condition Number . . . . . . . . . . . . C394--C410
Michael Pippig and
Daniel Potts Parallel Three-Dimensional Nonequispaced
Fast Fourier Transforms and Their
Application to Particle Simulation . . . C411--C437
P. H. Pisciuneri and
S. L. Yilmaz and
P. A. Strakey and
P. Givi An Irregularly Portioned FDF Simulator C438--C452
Jianbing Chen and
Shenghan Zhang Improving Point Selection in Cubature by
a New Discrepancy . . . . . . . . . . . A2121--A2149
Robert I. McLachlan and
Klas Modin and
Olivier Verdier and
Matt Wilkins Symplectic Integrators for Index $1$
Constraints . . . . . . . . . . . . . . A2150--A2162
Sandra May and
Marsha Berger Two-Dimensional Slope Limiters for
Finite Volume Schemes on
Non-Coordinate-Aligned Meshes . . . . . A2163--A2187
Roland Griesmaier and
Martin Hanke and
Thorsten Raasch Inverse Source Problems for the
Helmholtz Equation and the Windowed
Fourier Transform II . . . . . . . . . . A2188--A2206
Torquil Macdonald Sòrensen and
Fred Espen Benth Levy Process Simulation by Stochastic
Step Functions . . . . . . . . . . . . . A2207--A2224
Scott MacLachlan and
Niall Madden Robust Solution of Singularly Perturbed
Problems Using Multigrid Methods . . . . A2225--A2254
D. S. Britt and
S. V. Tsynkov and
E. Turkel A High-Order Numerical Method for the
Helmholtz Equation with Nonstandard
Boundary Conditions . . . . . . . . . . A2255--A2292
Akil Narayan and
Dongbin Xiu Constructing Nested Nodal Sets for
Multivariate Polynomial Interpolation A2293--A2315
Federico Negri and
Gianluigi Rozza and
Andrea Manzoni and
Alfio Quarteroni Reduced Basis Method for Parametrized
Elliptic Optimal Control Problems . . . A2316--A2340
Marco Discacciati and
Alfio Quarteroni and
Samuel Quinodoz Numerical Approximation of Internal
Discontinuity Interface Problems . . . . A2341--A2369
Xiaoliang Wan and
Boris L. Rozovskii The Wick--Malliavin Approximation of
Elliptic Problems with Log-Normal Random
Coefficients . . . . . . . . . . . . . . A2370--A2392
Martin J. Gander and
Yao-Lin Jiang and
Bo Song and
Hui Zhang Analysis of Two Parareal Algorithms for
Time-Periodic Problems . . . . . . . . . A2393--A2415
Yin-Liang Huang and
Jian-Guo Liu and
Wei-Cheng Wang A Generalized MAC Scheme on Curvilinear
Domains . . . . . . . . . . . . . . . . B953--B986
John W. Pearson and
Martin Stoll Fast Iterative Solution of
Reaction-Diffusion Control Problems
Arising from Chemical Processes . . . . B987--B1009
Serkan Gugercin and
Tatjana Stykel and
Sarah Wyatt Model Reduction of Descriptor Systems by
Interpolatory Projection Methods . . . . B1010--B1033
Gregory S. Cochran and
Thomas Wanner and
Pawel Dlotko A Randomized Subdivision Algorithm for
Determining the Topology of Nodal Sets B1034--B1054
Luis Ortiz-Gracia and
Cornelis W. Oosterlee Robust Pricing of European Options with
Wavelets and the Characteristic Function B1055--B1084
T. Richter and
T. Wick Optimal Control and Parameter Estimation
for Stationary Fluid-Structure
Interaction Problems . . . . . . . . . . B1085--B1104
X. Peng and
K. Niakhai and
B. Protas A Method for Geometry Optimization in a
Simple Model of Two-Dimensional Heat
Transfer . . . . . . . . . . . . . . . . B1105--B1131
Thomas G. Fai and
Boyce E. Griffith and
Yoichiro Mori and
Charles S. Peskin Immersed Boundary Method for Variable
Viscosity and Variable Density Problems
Using Fast Constant-Coefficient Linear
Solvers I: Numerical Method and Results B1132--B1161
F. X. Giraldo and
J. F. Kelly and
E. M. Constantinescu Implicit-Explicit Formulations of a
Three-Dimensional Nonhydrostatic Unified
Model of the Atmosphere (NUMA) . . . . . B1162--B1194
M. Pellikka and
S. Suuriniemi and
L. Kettunen and
C. Geuzaine Homology and Cohomology Computation in
Finite Element Modeling . . . . . . . . B1195--B1214
Denis Demidov and
Karsten Ahnert and
Karl Rupp and
Peter Gottschling Programming CUDA and OpenCL: a Case
Study Using Modern C++ Libraries . . . . C453--C472
Zhisong Fu and
Robert M. Kirby and
Ross T. Whitaker A Fast Iterative Method for Solving the
Eikonal Equation on Tetrahedral Domains C473--C494
Michele Benzi Special Section: 2012 Copper Mountain
Conference . . . . . . . . . . . . . . . S1--S2
Panayot S. Vassilevski and
Umberto Villa A Block-Diagonal Algebraic Multigrid
Preconditioner for the Brinkman Problem S3--S17
H. Park and
D. A. Knoll and
R. M. Rauenzahn and
C. K. Newman and
J. D. Densmore and
A. B. Wollaber An Efficient and Time Accurate,
Moment-Based Scale-Bridging Algorithm
for Thermal Radiative Transfer Problems S18--S41
Erin Carson and
Nicholas Knight and
James Demmel Avoiding Communication in Nonsymmetric
Lanczos-Based Krylov Subspace Methods S42--S61
Jeffrey Willert and
C. T. Kelley and
D. A. Knoll and
H. Park Hybrid Deterministic/Monte Carlo
Neutronics . . . . . . . . . . . . . . . S62--S83
Qing Chu and
Stuart Jefferies and
James G. Nagy Iterative Wavefront Reconstruction for
Astronomical Imaging . . . . . . . . . . S84--S103
Jared Tanner and
Ke Wei Normalized Iterative Hard Thresholding
for Matrix Completion . . . . . . . . . S104--S125
William T. Taitano and
Dana A. Knoll and
Luis Chacón and
Guangye Chen Development of a Consistent and Stable
Fully Implicit Moment Method for
Vlasov--Amp\`ere Particle in Cell (PIC)
System . . . . . . . . . . . . . . . . . S126--S149
Peter Benner and
Jens Saak and
Martin Stoll and
Heiko K. Weichelt Efficient Solution of Large-Scale Saddle
Point Systems Arising in Riccati-Based
Boundary Feedback Stabilization of
Incompressible Stokes Flow . . . . . . . S150--S170
J. H. Adler and
M. Brezina and
T. A. Manteuffel and
S. F. McCormick and
J. W. Ruge and
L. Tang Island Coalescence Using Parallel
First-Order System Least Squares on
Incompressible Resistive
Magnetohydrodynamics . . . . . . . . . . S171--S191
Veronica Mejia Bustamante and
James G. Nagy and
Steve S. J. Feng and
Ioannis Sechopoulos Iterative Breast Tomosynthesis Image
Reconstruction . . . . . . . . . . . . . S192--S208
Daniel Lowell and
Jeswin Godwin and
Justin Holewinski and
Deepan Karthik and
Chekuri Choudary and
Azamat Mametjanov and
Boyana Norris and
Gerald Sabin and
P. Sadayappan and
Jason Sarich Stencil-Aware GPU Optimization of
Iterative Solvers . . . . . . . . . . . S209--S228
Carlo Janna and
Massimilano Ferronato and
Giuseppe Gambolati Enhanced Block FSAI Preconditioning
Using Domain Decomposition Techniques S229--S249
S. Friedhoff and
S. MacLachlan and
C. Börgers Local Fourier Analysis of Space--time
Relaxation and Multigrid Schemes . . . . S250--S276
Lin Lin and
Chao Yang Elliptic Preconditioner for Accelerating
the Self-Consistent Field Iteration in
Kohn--Sham Density Functional Theory . . S277--S298
Andreas Stathopoulos and
Jesse Laeuchli and
Kostas Orginos Hierarchical Probing for Estimating the
Trace of the Matrix Inverse on Toroidal
Lattices . . . . . . . . . . . . . . . . S299--S322
Dong Han and
Justin W. L. Wan Multigrid Methods for Second Order
Hamilton--Jacobi--Bellman and
Hamilton--Jacobi--Bellman--Isaacs
Equations . . . . . . . . . . . . . . . S323--S344
Henri Calandra and
Serge Gratton and
Rafael Lago and
Xavier Vasseur and
Luiz Mariano Carvalho A Modified Block Flexible GMRES Method
with Deflation at Each Iteration for the
Solution of Non-Hermitian Linear Systems
with Multiple Right-Hand Sides . . . . . S345--S367
Victoria E. Howle and
Robert C. Kirby and
Geoffrey Dillon Block Preconditioners for Coupled
Physics Problems . . . . . . . . . . . . S368--S385
J. H. Adler and
V. Petkov and
L. T. Zikatanov Numerical Approximation of
Asymptotically Disappearing Solutions of
Maxwell's Equations . . . . . . . . . . S386--S401
Xiaohua Wan and
Sébastien Phan and
Albert Lawrence and
Fa Zhang and
Renmin Han and
Zhiyong Liu and
Mark Ellisman Iterative Methods in Large Field
Electron Microscope Tomography . . . . . S402--S419
Samuel Corveleyn and
Eveline Rosseel and
Stefan Vandewalle Iterative Solvers for a Spectral
Galerkin Approach to Elliptic Partial
Differential Equations with Fuzzy
Coefficients . . . . . . . . . . . . . . S420--S444
C. Newman and
D. A. Knoll Physics-Based Preconditioners for Ocean
Simulation . . . . . . . . . . . . . . . S445--S464
Verena Kuhlemann and
Panayot S. Vassilevski Improving the Communication Pattern in
Matrix-Vector Operations for Large
Scale-Free Graphs by Disaggregation . . S465--S486
Yvon Maday and
Benjamin Stamm Locally Adaptive Greedy Approximations
for Anisotropic Parameter Reduced Basis
Spaces . . . . . . . . . . . . . . . . . A2417--A2441
Benjamin Aymard and
Frédérique Clément and
Frédéric Coquel and
Marie Postel A Numerical Method for Transport
Equations with Discontinuous Flux
Functions: Application to Mathematical
Modeling of Cell Dynamics . . . . . . . A2442--A2468
Nicolas Fiétier and
Ömer Demirel and
Ivo F. Sbalzarini A Meshless Particle Method for Poisson
and Diffusion Problems with
Discontinuous Coefficients and
Inhomogeneous Boundary Conditions . . . A2469--A2493
Tan Bui-Thanh and
Omar Ghattas and
James Martin and
Georg Stadler A Computational Framework for
Infinite-Dimensional Bayesian Inverse
Problems. Part I: The Linearized Case,
with Application to Global Seismic
Inversion . . . . . . . . . . . . . . . A2494--A2523
Yi Jiang and
Zhengfu Xu Parametrized Maximum Principle
Preserving Limiter for Finite Difference
WENO Schemes Solving
Convection-Dominated Diffusion Equations A2524--A2553
R. Zimmermann On the Maximum Likelihood Training of
Gradient-Enhanced Spatial Gaussian
Processes . . . . . . . . . . . . . . . A2554--A2574
Hai Bi and
Yidu Yang and
Hao Li Local and Parallel Finite Element
Discretizations for Eigenvalue Problems A2575--A2597
Ankit Gupta and
Mustafa Khammash Unbiased Estimation of Parameter
Sensitivities for Stochastic Chemical
Reaction Networks . . . . . . . . . . . A2598--A2620
Simon Tavener and
Tim Wildey Adjoint Based \em A Posteriori Analysis
of Multiscale Mortar Discretizations
with Multinumerics . . . . . . . . . . . A2621--A2642
Patrick R. Conrad and
Youssef M. Marzouk Adaptive Smolyak Pseudospectral
Approximations . . . . . . . . . . . . . A2643--A2670
Weizhu Bao and
Daniel Marahrens and
Qinglin Tang and
Yanzhi Zhang A Simple and Efficient Numerical Method
for Computing the Dynamics of Rotating
Bose--Einstein Condensates via Rotating
Lagrangian Coordinates . . . . . . . . . A2671--A2695
A. Schmidt and
A. Potschka and
S. Körkel and
H. G. Bock Derivative-Extended POD Reduced-Order
Modeling for Parameter Estimation . . . A2696--A2717
Bo Wang and
Wayne Enright Parameter Estimation for ODEs Using a
Cross-Entropy Approach . . . . . . . . . A2718--A2737
Zydrunas Gimbutas and
Shravan Veerapaneni A Fast Algorithm for Spherical Grid
Rotations and Its Application to
Singular Quadrature . . . . . . . . . . A2738--A2751
Erik Burman Stabilized Finite Element Methods for
Nonsymmetric, Noncoercive, and Ill-Posed
Problems. Part I: Elliptic Equations . . A2752--A2780
G. Womeldorff and
J. Peterson and
M. Gunzburger and
T. Ringler Unified Matching Grids for Multidomain
Multiphysics Simulations . . . . . . . . A2781--A2806
Zhenning Cai and
Ruo Li and
Yanli Wang Solving Vlasov Equations Using NR$ x x $
Method . . . . . . . . . . . . . . . . . A2807--A2831
Katharina Kormann and
Elisabeth Larsson A Galerkin Radial Basis Function Method
for the Schrödinger Equation . . . . . . A2832--A2855
Yu-Mei Huang and
De-Yong Lu and
Tieyong Zeng Two-Step Approach for the Restoration of
Images Corrupted by Multiplicative Noise A2856--A2873
Christophe Chalons and
Mathieu Girardin and
Samuel Kokh Large Time Step and Asymptotic
Preserving Numerical Schemes for the Gas
Dynamics Equations with Source Terms . . A2874--A2902
Weizhu Bao and
Xuanchun Dong and
Xiaofei Zhao An Exponential Wave Integrator Sine
Pseudospectral Method for the
Klein--Gordon--Zakharov System . . . . . A2903--A2927
C. Chainais-Hillairet and
S. Krell and
A. Mouton Study of Discrete Duality Finite Volume
Schemes for the Peaceman Model . . . . . A2928--A2952
L. Bush and
V. Ginting On the Application of the Continuous
Galerkin Finite Element Method for
Conservation Problems . . . . . . . . . A2953--A2975
Fanhai Zeng and
Changpin Li and
Fawang Liu and
Ian Turner The Use of Finite Difference/Element
Approaches for Solving the
Time-Fractional Subdiffusion Equation A2976--A3000
Arvind K. Saibaba and
Tania Bakhos and
Peter K. Kitanidis A Flexible Krylov Solver for Shifted
Systems with Application to Oscillatory
Hydraulic Tomography . . . . . . . . . . A3001--A3023
Sharif Rahman Uncertainty Quantification by
Alternative Decompositions of
Multivariate Functions . . . . . . . . . A3024--A3051
Hongwei Lin and
Zhiyu Zhang An Efficient Method for Fitting Large
Data Sets Using $T$-Splines . . . . . . A3052--A3068
D. Kalchev and
C. Ketelsen and
P. S. Vassilevski Two-Level Adaptive Algebraic Multigrid
for a Sequence of Problems with Slowly
Varying Random Coefficients . . . . . . B1215--B1234
Kundan Kumar and
Mary F. Wheeler and
Thomas Wick Reactive Flow and Reaction-Induced
Boundary Movement in a Thin Channel . . B1235--B1266
Dexuan Xie and
Yi Jiang and
L. Ridgway Scott Efficient Algorithms for a Nonlocal
Dielectric Model for Protein in Ionic
Solvent . . . . . . . . . . . . . . . . B1267--B1284
Gerardo Tauriello and
Petros Koumoutsakos Coupling Remeshed Particle and Phase
Field Methods for the Simulation of
Reaction-Diffusion on the Surface and
the Interior of Deforming Geometries . . B1285--B1303
Xi-Le Zhao and
Wei Wang and
Tie-Yong Zeng and
Ting-Zhu Huang and
Michael K. Ng Total Variation Structured Total Least
Squares Method for Image Restoration . . B1304--B1320
Li-Tien Cheng and
Bin Dong and
Chunhua Men and
Xun Jia and
Steve Jiang Binary Level-Set Shape Optimization
Model and Algorithm for Volumetric
Modulated Arc Therapy in Radiotherapy
Treatment . . . . . . . . . . . . . . . B1321--B1340
Raimund Bürger and
Christophe Chalons and
Luis M. Villada Antidiffusive and Random-Sampling
Lagrangian-Remap Schemes for the
Multiclass Lighthill--Whitham--Richards
Traffic Model . . . . . . . . . . . . . B1341--B1368
Alex Townsend and
Lloyd N. Trefethen An Extension of Chebfun to Two
Dimensions . . . . . . . . . . . . . . . C495--C518
Shen Wang and
Xiaoye S. Li and
Jianlin Xia and
Yingchong Situ and
Maarten V. de Hoop Efficient Scalable Algorithms for
Solving Dense Linear Systems with
Hierarchically Semiseparable Structures C519--C544
R. M. Caplan and
R. Carretero-González A Modulus-Squared Dirichlet Boundary
Condition for Time-Dependent Complex
Partial Differential Equations and Its
Application to the Nonlinear Schrödinger
Equation . . . . . . . . . . . . . . . . A1--A19
J. Gopalakrishnan and
I. Muga and
N. Olivares Dispersive and Dissipative Errors in the
DPG Method with Scaled Norms for
Helmholtz Equation . . . . . . . . . . . A20--A39
Mohsen Zayernouri and
George Em Karniadakis Fractional Spectral Collocation Method A40--A62
Eugene Vecharynski and
Yousef Saad and
Masha Sosonkina Graph Partitioning Using Matrix Values
for Preconditioning Symmetric Positive
Definite Systems . . . . . . . . . . . . A63--A87
Mikko Byckling and
Marko Huhtanen Preconditioning with Direct Approximate
Factoring of the Inverse . . . . . . . . A88--A104
J.-P. Berrut and
S. A. Hosseini and
G. Klein The Linear Barycentric Rational
Quadrature Method for Volterra Integral
Equations . . . . . . . . . . . . . . . A105--A123
Colin Fox and
Albert Parker Convergence in Variance of Chebyshev
Accelerated Gibbs Samplers . . . . . . . A124--A147
Nicholas Hale and
Alex Townsend A Fast, Simple, and Stable
Chebyshev--Legendre Transform Using an
Asymptotic Formula . . . . . . . . . . . A148--A167
Benjamin Peherstorfer and
Daniel Butnaru and
Karen Willcox and
Hans-Joachim Bungartz Localized Discrete Empirical
Interpolation Method . . . . . . . . . . A168--A192
Hsueh-Chen Lee An Adaptively Refined Least-Squares
Finite Element Method for Generalized
Newtonian Fluid Flows Using the Carreau
Model . . . . . . . . . . . . . . . . . A193--A218
Matt Elsey and
Selim Esedo\uglu Fast and Accurate Redistancing by
Directional Optimization . . . . . . . . A219--A231
Masayuki Yano A Space--time Petrov--Galerkin Certified
Reduced Basis Method: Application to the
Boussinesq Equations . . . . . . . . . . A232--A266
B. Vioreanu and
V. Rokhlin Spectra of Multiplication Operators as a
Numerical Tool . . . . . . . . . . . . . A267--A288
Jie Chen and
Lei Wang and
Mihai Anitescu A Fast Summation Tree Code for Matérn
Kernel . . . . . . . . . . . . . . . . . A289--A309
Carola Kruse and
Simon Shaw Time-Decoupled High Order Continuous
Space--time Finite Element Schemes for
the Heat Equation . . . . . . . . . . . B1--B13
Yasunori Aoki and
Ken Hayami and
Hans De Sterck and
Akihiko Konagaya Cluster Newton Method for Sampling
Multiple Solutions of Underdetermined
Inverse Problems: Application to a
Parameter Identification Problem in
Pharmacokinetics . . . . . . . . . . . . B14--B44
Ming Li and
Zhitao Fan and
Hui Ji and
Zuowei Shen Wavelet Frame Based Algorithm for $3$D
Reconstruction in Electron Microscopy B45--B69
James Rankin and
Daniele Avitabile and
Javier Baladron and
Gregory Faye and
David J. B. Lloyd Continuation of Localized Coherent
Structures in Nonlocal Neural Field
Equations . . . . . . . . . . . . . . . B70--B93
Michael K. Ng and
Jianyu Pan Weighted Toeplitz Regularized Least
Squares Computation for Image
Restoration . . . . . . . . . . . . . . B94--B121
Jie Shen and
Xiaofeng Yang Decoupled Energy Stable Schemes for
Phase-Field Models of Two-Phase Complex
Fluids . . . . . . . . . . . . . . . . . B122--B145
Cui Cong and
Xiao-Chuan Cai and
Karl Gustafson Implicit Space--time Domain
Decomposition Methods for Stochastic
Parabolic Partial Differential Equations C1--C24
P. E. Farrell and
C. J. Cotter and
S. W. Funke A Framework for the Automation of
Generalized Stability Theory . . . . . . C25--C48
Jack Poulson and
Laurent Demanet and
Nicholas Maxwell and
Lexing Ying A Parallel Butterfly Algorithm . . . . . C49--C65
Emmanuel Agullo and
Bérenger Bramas and
Olivier Coulaud and
Eric Darve and
Matthias Messner and
Toru Takahashi Task-Based FMM for Multicore
Architectures . . . . . . . . . . . . . C66--C93
D. Wirtz and
D. C. Sorensen and
B. Haasdonk A Posteriori Error Estimation for DEIM
Reduced Nonlinear Dynamical Systems . . A311--A338
Alex Bespalov and
Catherine E. Powell and
David Silvester Energy Norm A Posteriori Error
Estimation for Parametric Operator
Equations . . . . . . . . . . . . . . . A339--A363
Jing Li and
Xin Qi and
Dongbin Xiu On Upper and Lower Bounds for Quantity
of Interest in Problems Subject to
Epistemic Uncertainty . . . . . . . . . A364--A376
Sebastiano Boscarino and
Philippe G. LeFloch and
Giovanni Russo High-Order Asymptotic-Preserving Methods
for Fully Nonlinear Relaxation Problems A377--A395
Pierre-David Létourneau and
Cris Cecka and
Eric Darve Cauchy Fast Multipole Method for General
Analytic Kernels . . . . . . . . . . . . A396--A426
Alex H. Barnett Evaluation of Layer Potentials Close to
the Boundary for Laplace and Helmholtz
Problems on Analytic Planar Domains . . A427--A451
T. Carraro and
M. Geiger and
R. Rannacher Indirect Multiple Shooting for Nonlinear
Parabolic Optimal Control Problems with
Control Constraints . . . . . . . . . . A452--A481
Stephen G. Walker Sampling Unnormalized Probabilities: an
Alternative to the Metropolis--Hastings
Algorithm . . . . . . . . . . . . . . . A482--A494
Akil Narayan and
Claude Gittelson and
Dongbin Xiu A Stochastic Collocation Algorithm with
Multifidelity Models . . . . . . . . . . A495--A521
Benjamin Ganis and
Mika Juntunen and
Gergina Pencheva and
Mary F. Wheeler and
Ivan Yotov A Global Jacobian Method for Mortar
Discretizations of Nonlinear Porous
Media Flows . . . . . . . . . . . . . . A522--A542
Mark Ainsworth Pyramid Algorithms for Bernstein--Bézier
Finite Elements of High, Nonuniform
Order in Any Dimension . . . . . . . . . A543--A569
Simone Cacace and
Emiliano Cristiani and
Maurizio Falcone Can Local Single-Pass Methods Solve Any
Stationary Hamilton--Jacobi--Bellman
Equation? . . . . . . . . . . . . . . . A570--A587
Edmond Chow and
Yousef Saad Preconditioned Krylov Subspace Methods
for Sampling Multivariate Gaussian
Distributions . . . . . . . . . . . . . A588--A608
Jennifer Scott and
Miroslav Tuma On Positive Semidefinite Modification
Schemes for Incomplete Cholesky
Factorization . . . . . . . . . . . . . A609--A633
Evangelia Kalligiannaki and
Markos A. Katsoulakis and
Petr Plechác Spatial Two-Level Interacting Particle
Simulations and Information Theory-Based
Error Quantification . . . . . . . . . . A634--A667
Nathan Albin and
Sureka Pathmanathan Discrete Periodic Extension Using an
Approximate Step Function . . . . . . . A668--A692
Terry Haut and
Beth Wingate An Asymptotic Parallel-in-Time Method
for Highly Oscillatory PDEs . . . . . . A693--A713
Mario Ohlberger and
Kathrin Smetana A Dimensional Reduction Approach Based
on the Application of Reduced Basis
Methods in the Framework of Hierarchical
Model Reduction . . . . . . . . . . . . A714--A736
Axel Klawonn and
Martin Lanser and
Oliver Rheinbach Nonlinear FETI--DP and BDDC Methods . . A737--A765
Eric C. Cyr and
John Shadid and
Tim Wildey Approaches for Adjoint-Based A
Posteriori Analysis of Stabilized Finite
Element Methods . . . . . . . . . . . . A766--A791
Lisa J. Larsson and
Rustum Choksi and
Jean-Christophe Nave An Iterative Algorithm for Computing
Measures of Generalized Voronoi Regions A792--A827
Jing Li and
Dongbin Xiu Surrogate Based Method for Evaluation of
Failure Probability under Multiple
Constraints . . . . . . . . . . . . . . A828--A845
Robert C. Kirby Low-Complexity Finite Element Algorithms
for the de Rham Complex on Simplices . . A846--A868
Christian Bayer and
Håkon Hoel and
Erik von Schwerin and
Raúl Tempone On Nonasymptotic Optimal Stopping
Criteria in Monte Carlo Simulations . . A869--A885
Emanuel H. Rubensson and
Anders M. N. Niklasson Interior Eigenvalues from Density Matrix
Expansions in Quantum Mechanical
Molecular Dynamics . . . . . . . . . . . B147--B170
Zhijian He and
Xiaoqun Wang Good Path Generation Methods in
Quasi-Monte Carlo for Pricing Financial
Derivatives . . . . . . . . . . . . . . B171--B197
Binghuai Lin and
Dennis McLaughlin Efficient Characterization of Uncertain
Model Parameters with a Reduced-Order
Ensemble Kalman Filter . . . . . . . . . B198--B224
Silvia Gazzola and
James G. Nagy Generalized Arnoldi--Tikhonov Method for
Sparse Reconstruction . . . . . . . . . B225--B247
Jörg Grande Eulerian Finite Element Methods for
Parabolic Equations on Moving Surfaces B248--B271
Xiangrui Meng and
Michael A. Saunders and
Michael W. Mahoney LSRN: a Parallel Iterative Solver for
Strongly Over- or Underdetermined
Systems . . . . . . . . . . . . . . . . C95--C118
M. Chanaud and
L. Giraud and
D. Goudin and
J. J. Pesqué and
J. Roman A Parallel Full Geometric Multigrid
Solver for Time Harmonic Maxwell
Problems . . . . . . . . . . . . . . . . C119--C138
Cosmin G. Petra and
Olaf Schenk and
Miles Lubin and
Klaus Gäertner An Augmented Incomplete Factorization
Approach for Computing the Schur
Complement in Stochastic Optimization C139--C162
Thomas Dickopf and
Dorian Krause and
Rolf Krause and
Mark Potse Design and Analysis of a Lightweight
Parallel Adaptive Scheme for the
Solution of the Monodomain Equation . . C163--C189
Santiago Badia and
Alberto F. Martín and
Javier Principe A Highly Scalable Parallel
Implementation of Balancing Domain
Decomposition by Constraints . . . . . . C190--C218
Zbigniew Koza and
Maciej Matyka and
Sebastian Szkoda and
Lukasz Miros\law Compressed Multirow Storage Format for
Sparse Matrices on Graphics Processing
Units . . . . . . . . . . . . . . . . . C219--C239
M. Petschow and
E. S. Quintana-Ortí and
P. Bientinesi Improved Accuracy and Parallelism for
MRRR-Based Eigensolvers --- a Mixed
Precision Approach . . . . . . . . . . . C240--C263
T. Gao and
J. Duan and
X. Li and
R. Song Mean Exit Time and Escape Probability
for Dynamical Systems Driven by Lévy
Noises . . . . . . . . . . . . . . . . . A887--A906
Li-Lian Wang and
Michael Daniel Samson and
Xiaodan Zhao A Well-Conditioned Collocation Method
Using a Pseudospectral Integration
Matrix . . . . . . . . . . . . . . . . . A907--A929
Zhonggui Chen and
Wenping Wang and
Bruno Lévy and
Ligang Liu and
Feng Sun Revisiting Optimal Delaunay
Triangulation for $3$D Graded Mesh
Generation . . . . . . . . . . . . . . . A930--A954
R. Abgrall and
D. De Santis and
M. Ricchiuto High-Order Preserving Residual
Distribution Schemes for
Advection-Diffusion Scalar Problems on
Arbitrary Grids . . . . . . . . . . . . A955--A983
A. C. Ionita and
A. C. Antoulas Data-Driven Parametrized Model Reduction
in the Loewner Framework . . . . . . . . A984--A1007
I. Bogaert Iteration-Free Computation of
Gauss--Legendre Quadrature Nodes and
Weights . . . . . . . . . . . . . . . . A1008--A1026
M. Griebel and
A. Hullmann Dimensionality Reduction of
High-Dimensional Data with a Nonlinear
Principal Component Aligned Generative
Topographic Mapping . . . . . . . . . . A1027--A1047
Daniel Beylkin and
Vladimir Rokhlin Fitting a Bandlimited Curve to Points in
a Plane . . . . . . . . . . . . . . . . A1048--A1070
J. H. Adler and
P. S. Vassilevski Error Analysis for Constrained
First-Order System Least-Squares
Finite-Element Methods . . . . . . . . . A1071--A1088
L. Tamellini and
O. Le Ma\^\itre and
A. Nouy Model Reduction Based on Proper
Generalized Decomposition for the
Stochastic Steady Incompressible
Navier--Stokes Equations . . . . . . . . A1089--A1117
L. Beiraño da Veiga and
L. F. Pavarino and
S. Scacchi and
O. B. Widlund and
S. Zampini Isogeometric BDDC Preconditioners with
Deluxe Scaling . . . . . . . . . . . . . A1118--A1139
Rong-Qing Jia Applications of Multigrid Algorithms to
Finite Difference Schemes for Elliptic
Equations with Variable Coefficients . . A1140--A1162
Jinglai Li and
Youssef M. Marzouk Adaptive Construction of Surrogates for
the Bayesian Solution of Inverse
Problems . . . . . . . . . . . . . . . . A1163--A1186
Francisco J. Gaspar and
Yvan Notay and
Cornelis W. Oosterlee and
Carmen Rodrigo A Simple and Efficient Segregated
Smoother for the Discrete Stokes
Equations . . . . . . . . . . . . . . . A1187--A1206
Nicholas Hale and
Alex Townsend An Algorithm for the Convolution of
Legendre Series . . . . . . . . . . . . A1207--A1220
Traian Iliescu and
Zhu Wang Are the Snapshot Difference Quotients
Needed in the Proper Orthogonal
Decomposition? . . . . . . . . . . . . . A1221--A1250
Marcus J. Grote and
Johannes Huber and
Drosos Kourounis and
Olaf Schenk Inexact Interior-Point Method for
PDE-Constrained Nonlinear Optimization A1251--A1276
Daniel Baffet and
Thomas Hagstrom and
Dan Givoli Double Absorbing Boundary Formulations
for Acoustics and Elastodynamics . . . . A1277--A1312
Paul Tranquilli and
Adrian Sandu Rosenbrock--Krylov Methods for Large
Systems of Differential Equations . . . A1313--A1338
Manuel Chiachio and
James L. Beck and
Juan Chiachio and
Guillermo Rus Approximate Bayesian Computation by
Subset Simulation . . . . . . . . . . . A1339--A1358
Nguyen Trung Th\`anh and
Larisa Beilina and
Michael V. Klibanov and
Michael A. Fiddy Reconstruction of the Refractive Index
from Experimental Backscattering Data
Using a Globally Convergent Inverse
Method . . . . . . . . . . . . . . . . . B273--B293
Sylvain Vallaghé and
Anthony T. Patera The Static Condensation Reduced Basis
Element Method for a Mixed-Mean
Conjugate Heat Exchanger Model . . . . . B294--B320
J. Brannick and
K. Kahl Bootstrap Algebraic Multigrid for the
$2$D Wilson Dirac system . . . . . . . . B321--B347
Francis Filbet and
Chang Yang Numerical Simulations of Kinetic Models
for Chemotaxis . . . . . . . . . . . . . B348--B366
Siegfried Cools and
Bram Reps and
Wim Vanroose An Efficient Multigrid Calculation of
the Far Field Map for Helmholtz and
Schrödinger Equations . . . . . . . . . . B367--B395
Grady I. Lemoine and
M. Yvonne Ou Finite Volume Modeling of
Poroelastic-Fluid Wave Propagation with
Mapped Grids . . . . . . . . . . . . . . B396--B426
Chad Lieberman and
Karen Willcox Nonlinear Goal-Oriented Bayesian
Inference: Application to Carbon Capture
and Storage . . . . . . . . . . . . . . B427--B449
Pingping Zeng and
Yue Kuen Kwok Pricing Barrier and Bermudan Style
Options Under Time-Changed Lévy
Processes: Fast Hilbert Transform
Approach . . . . . . . . . . . . . . . . B450--B485
C. Jourdana and
P. Pietra A Hybrid Classical-Quantum Transport
Model for the Simulation of Carbon
Nanotube Transistors . . . . . . . . . . B486--B507
R. Zimmermann A Locally Parametrized Reduced-Order
Model for the Linear Frequency Domain
Approach to Time-Accurate Computational
Fluid Dynamics . . . . . . . . . . . . . B508--B537
Mich\`ele De La Chevroti\`ere and
Boualem Khouider and
Andrew J. Majda Calibration of the Stochastic Multicloud
Model Using Bayesian Inference . . . . . B538--B560
Mark B. Flegg and
S. Jonathan Chapman and
Likun Zheng and
Radek Erban Analysis of the Two-Regime Method on
Square Meshes . . . . . . . . . . . . . B561--B588
Thomas G. Fai and
Boyce E. Griffith and
Yoichiro Mori and
Charles S. Peskin Immersed Boundary Method for Variable
Viscosity and Variable Density Problems
Using Fast Constant-Coefficient Linear
Solvers II: Theory . . . . . . . . . . . B589--B621
Mattia Gazzola and
Babak Hejazialhosseini and
Petros Koumoutsakos Reinforcement Learning and Wavelet
Adapted Vortex Methods for Simulations
of Self-propelled Swimmers . . . . . . . B622--B639
C. R. Prins and
J. H. M. Ten Thije Boonkkamp and
J. van Roosmalen and
W. L. Jzerman and
T. W. Tukker A Monge--Amp\`ere--Solver for Free-Form
Reflector Design . . . . . . . . . . . . B640--B660
Xin Zhang and
Jinwei Zhu and
Zaiwen Wen and
Aihui Zhou Gradient Type Optimization Methods For
Electronic Structure Calculations . . . C265--C289
Shengguo Li and
Ming Gu and
Beresford N. Parlett An Improved DQDS Algorithm . . . . . . . C290--C308
Robert D. Falgout and
Jacob B. Schroder Non-Galerkin Coarse Grids for Algebraic
Multigrid . . . . . . . . . . . . . . . C309--C334
U. Rüde and
C. Waluga and
B. Wohlmuth Nested Newton Strategies for
Energy-Corrected Finite Element Methods A1359--A1383
Karol Mikula and
Mariana Remesíková and
Peter Sarkoci and
Daniel Sevcovic Manifold Evolution with Tangential
Redistribution of Points . . . . . . . . A1384--A1414
Jonas Ballani and
Lars Grasedyck Tree Adaptive Approximation in the
Hierarchical Tensor Format . . . . . . . A1415--A1431
Malena I. Espanñol and
Misha E. Kilmer A Wavelet-Based Multilevel Approach for
Blind Deconvolution Problems . . . . . . A1432--A1450
Shujun Bi and
Xiaolan Liu and
Shaohua Pan Exact Penalty Decomposition Method for
Zero-Norm Minimization Based on MPEC
Formulation . . . . . . . . . . . . . . A1451--A1477
Huayi Wei and
Long Chen and
Yunqing Huang and
Bin Zheng Adaptive Mesh Refinement and
Superconvergence for Two-Dimensional
Interface Problems . . . . . . . . . . . A1478--A1499
Paul G. Constantine and
Eric Dow and
Qiqi Wang Active Subspace Methods in Theory and
Practice: Applications to Kriging
Surfaces . . . . . . . . . . . . . . . . A1500--A1524
Noemi Petra and
James Martin and
Georg Stadler and
Omar Ghattas A Computational Framework for
Infinite-Dimensional Bayesian Inverse
Problems, Part II: Stochastic Newton
MCMC with Application to Ice Sheet Flow
Inverse Problems . . . . . . . . . . . . A1525--A1555
Sergio Blanes and
Fernando Casas and
J. M. Sanz-Serna Numerical Integrators for the Hybrid
Monte Carlo Method . . . . . . . . . . . A1556--A1580
A. Frommer and
K. Kahl and
S. Krieg and
B. Leder and
M. Rottmann Adaptive Aggregation-Based Domain
Decomposition Multigrid for the Lattice
Wilson--Dirac Operator . . . . . . . . . A1581--A1608
Patrick Henning and
Axel Målqvist Localized Orthogonal Decomposition
Techniques for Boundary Value Problems A1609--A1634
Braxton Osting and
Chris D. White and
Édouard Oudet Minimal Dirichlet Energy Partitions for
Graphs . . . . . . . . . . . . . . . . . A1635--A1651
Z. Zhang and
M. V. Tretyakov and
B. Rozovskii and
G. E. Karniadakis A Recursive Sparse Grid Collocation
Method for Differential Equations with
White Noise . . . . . . . . . . . . . . A1652--A1677
Artem Napov and
Yvan Notay Algebraic Multigrid for Moderate Order
Finite Elements . . . . . . . . . . . . A1678--A1707
Anthony Pajot and
Lo\"\ic Barthe and
Mathias Paulin Globally Adaptive Control Variate for
Robust Numerical Integration . . . . . . A1708--A1730
Weidong Zhao and
Yu Fu and
Tao Zhou New Kinds of High-Order Multistep
Schemes for Coupled Forward Backward
Stochastic Differential Equations . . . A1731--A1751
Zhiqiang Xu and
Tao Zhou On Sparse Interpolation and the Design
of Deterministic Interpolation Points A1752--A1769
Gilles Vilmart Weak Second Order Multirevolution
Composition Methods for Highly
Oscillatory Stochastic Differential
Equations with Additive or
Multiplicative Noise . . . . . . . . . . A1770--A1796
Emmanuel Hanert and
Cécile Piret A Chebyshev PseudoSpectral Method to
Solve the Space--time Tempered
Fractional Diffusion Equation . . . . . A1797--A1812
Sheng-Gwo Chen and
Jyh-Yang Wu Discrete Conservation Laws on Curved
Surfaces II: a Dual Approach . . . . . . A1813--A1830
Jean-Piero Suarez and
Gustaaf B. Jacobs and
Wai-Sun Don A High-Order Dirac-Delta Regularization
with Optimal Scaling in the Spectral
Solution of One-Dimensional Singular
Hyperbolic Conservation Laws . . . . . . A1831--A1849
L. Giraldi and
A. Nouy and
G. Legrain Low-Rank Approximate Inverse for
Preconditioning Tensor-Structured Linear
Systems . . . . . . . . . . . . . . . . A1850--A1870
Jeffrey D. Hyman and
Carl W. Gable and
Scott L. Painter and
Nataliia Makedonska Conforming Delaunay Triangulation of
Stochastically Generated Three
Dimensional Discrete Fracture Networks:
a Feature Rejection Algorithm for
Meshing Strategy . . . . . . . . . . . . A1871--A1894
Johnathan M. Bardsley and
Antti Solonen and
Heikki Haario and
Marko Laine Randomize-Then-Optimize: a Method for
Sampling from Posterior Distributions in
Nonlinear Inverse Problems . . . . . . . A1895--A1910
Erik Burman Stabilized Finite Element Methods for
Nonsymmetric, Noncoercive, and Ill-Posed
Problems. Part II: Hyperbolic Equations A1911--A1936
Qiya Hu and
Long Yuan A Plane-Wave Least-Squares Method for
Time-Harmonic Maxwell's Equations in
Absorbing Media . . . . . . . . . . . . A1937--A1959
Sander Rhebergen and
Garth N. Wells and
Richard F. Katz and
Andrew J. Wathen Analysis of Block Preconditioners for
Models of Coupled Magma/Mantle Dynamics A1960--A1977
Elias Jarlebring and
Simen Kvaal and
Wim Michiels An Inverse Iteration Method for
Eigenvalue Problems with Eigenvector
Nonlinearities . . . . . . . . . . . . . A1978--A2001
Rafael Bru and
José Marín and
José Mas and
Miroslav Tuma Preconditioned Iterative Methods for
Solving Linear Least Squares Problems A2002--A2022
A. Gillman and
P. G. Martinsson A Direct Solver with $ O(N) $ Complexity
for Variable Coefficient Elliptic PDEs
Discretized via a High-Order Composite
Spectral Collocation Method . . . . . . A2023--A2046
N. Chalmers and
L. Krivodonova and
R. Qin Relaxing the CFL Number of the
Discontinuous Galerkin Method . . . . . A2047--A2075
David A. Kopriva and
Gregor J. Gassner An Energy Stable Discontinuous Galerkin
Spectral Element Discretization for
Variable Coefficient Advection Problems A2076--A2099
William I. Newman and
Nathaniel D. Hamlin Primitive Variable Determination in
Conservative Relativistic
Magnetohydrodynamic Simulations . . . . B661--B683
Mohsen Zayernouri and
George Em Karniadakis Discontinuous Spectral Element Methods
for Time- and Space-Fractional Advection
Equations . . . . . . . . . . . . . . . B684--B707
Zhonghua Qiao and
Shuyu Sun Two-Phase Fluid Simulation Using a
Diffuse Interface Model with
Peng--Robinson Equation of State . . . . B708--B728
M. Asadzadeh and
E. Kazemi and
R. Mokhtari Discrete-Ordinates and Streamline
Diffusion Methods for a Flow Described
by BGK Model . . . . . . . . . . . . . . B729--B748
Binghuai Lin and
Dennis McLaughlin Real-Time Ensemble Control with
Reduced-Order Modeling . . . . . . . . . B749--B775
Thomas G. Fai and
Boyce E. Griffith and
Yoichiro Mori and
Charles S. Peskin Erratum: Immersed Boundary Method for
Variable Viscosity and Variable Density
Problems Using Fast Constant-Coefficient
Linear Solvers I: Numerical Method and
Results . . . . . . . . . . . . . . . . B776--B776
Austin R. Benson and
Jack Poulson and
Kenneth Tran and
Björn Engquist and
Lexing Ying A Parallel Directional Fast Multipole
Method . . . . . . . . . . . . . . . . . C335--C352
Daniel Osei-Kuffuor and
Jean-Luc Fattebert A Scalable $ O(N) $ Algorithm for
Large-Scale Parallel First-Principles
Molecular Dynamics Simulations . . . . . C353--C375
Marcus Holm and
Stefan Engblom and
Anders Goude and
Sverker Holmgren Dynamic Autotuning of Adaptive Fast
Multipole Methods on Hybrid Multicore
CPU and GPU Systems . . . . . . . . . . C376--C399
Junichi Imai and
Ken Seng Tan Pricing Derivative Securities Using
Integrated Quasi--Monte Carlo Methods
with Dimension Reduction and
Discontinuity Realignment . . . . . . . A2101--A2121
Alen Alexanderian and
Noemi Petra and
Georg Stadler and
Omar Ghattas $A$-Optimal Design of Experiments for
Infinite-Dimensional Bayesian Linear
Inverse Problems with Regularized $
\ell_0$-Sparsification . . . . . . . . . A2122--A2148
Lizhen Qin and
Shangyou Zhang and
Zhimin Zhang Finite Element Formulation in Flat
Coordinate Spaces to Solve Elliptic
Problems on General Closed Riemannian
Manifolds . . . . . . . . . . . . . . . A2149--A2165
Heiko Berninger and
Sébastien Loisel and
Oliver Sander The $2$-Lagrange Multiplier Method
Applied to Nonlinear Transmission
Problems for the Richards Equation in
Heterogeneous Soil with Cross Points . . A2166--A2198
Robert I. McLachlan and
Brett N. Ryland and
Yajuan Sun High Order Multisymplectic Runge--Kutta
Methods . . . . . . . . . . . . . . . . A2199--A2226
Claude Brezinski and
Michela Redivo-Zaglia The Simplified Topological $ \varepsilon
$-Algorithms for Accelerating Sequences
in a Vector Space . . . . . . . . . . . A2227--A2247
Sergey V. Dolgov and
Dmitry V. Savostyanov Alternating Minimal Energy Methods for
Linear Systems in Higher Dimensions . . A2248--A2271
Tao Tang and
Tao Zhou On Discrete Least-Squares Projection in
Unbounded Domain with Random Evaluations
and its Application to Parametric
Uncertainty Quantification . . . . . . . A2272--A2295
Hailiang Liu and
Hui Yu Maximum-Principle-Satisfying Third Order
Discontinuous Galerkin Schemes for
Fokker--Planck Equations . . . . . . . . A2296--A2325
G. Kanschat and
J.-C. Ragusa A Robust Multigrid Preconditioner for $
S_N $DG Approximation of Monochromatic,
Isotropic Radiation Transport Problems A2326--A2345
Daniel Kressner and
Michael Steinlechner and
André Uschmajew Low-Rank Tensor Methods with Subspace
Correction for Symmetric Eigenvalue
Problems . . . . . . . . . . . . . . . . A2346--A2368
Qinghai Zhang and
Aaron Fogelson Fourth-Order Interface Tracking in Two
Dimensions via an Improved Polygonal
Area Mapping Method . . . . . . . . . . A2369--A2400
Tao Zhou and
Akil Narayan and
Zhiqiang Xu Multivariate Discrete Least-Squares
Approximations with a New Type of
Collocation Grid . . . . . . . . . . . . A2401--A2422
Eleuterio F. Toro and
Gino I. Montecinos Advection-Diffusion-Reaction Equations:
Hyperbolization and High-Order ADER
Discretizations . . . . . . . . . . . . A2423--A2457
L. Bonaventura and
R. Ferretti Semi-Lagrangian Methods for Parabolic
Problems in Divergence Form . . . . . . A2458--A2477
Z. Clawson and
A. Chacon and
A. Vladimirsky Causal Domain Restriction for Eikonal
Equations . . . . . . . . . . . . . . . A2478--A2505
Moritz Kreutzer and
Georg Hager and
Gerhard Wellein and
Holger Fehske and
Alan R. Bishop A Unified Sparse Matrix Data Format for
Efficient General Sparse Matrix-Vector
Multiplication on Modern Processors with
Wide SIMD Units . . . . . . . . . . . . C401--C423
Tamara G. Kolda and
Ali Pinar and
Todd Plantenga and
C. Seshadhri A Scalable Generative Graph Model with
Community Structure . . . . . . . . . . C424--C452
Martin D. Schatz and
Tze Meng Low and
Robert A. van de Geijn and
Tamara G. Kolda Exploiting Symmetry in Tensors for High
Performance: Multiplication with
Symmetric Tensors . . . . . . . . . . . C453--C479
Björn Adlerborn and
Bo Kågström and
Daniel Kressner A Parallel QZ Algorithm for Distributed
Memory HPC Systems . . . . . . . . . . . C480--C503
Hong Zhang and
Adrian Sandu FATODE: a Library for Forward, Adjoint,
and Tangent Linear Integration of ODEs C504--C523
Hans Henrik B. Sòrensen and
Per Christian Hansen Multicore Performance of Block Algebraic
Iterative Reconstruction Methods . . . . C524--C546
Jiaping Yu and
Feng Shi and
Haibiao Zheng Local and Parallel Finite Element
Algorithms Based on the Partition of
Unity for the Stokes Problem . . . . . . C547--C567
Kadir Akbudak and
Cevdet Aykanat Simultaneous Input and Output Matrix
Partitioning for Outer-Product--Parallel
Sparse Matrix-Matrix Multiplication . . C568--C590
J. Loffeld and
M. Tokman Implementation of Parallel
Adaptive-Krylov Exponential Solvers for
Stiff Problems . . . . . . . . . . . . . C591--C616
Tamara G. Kolda and
Irad Yaneh Special Section on Two Themes: Planet
Earth and Big Data . . . . . . . . . . . S1--S2
Farbod Roosta-Khorasani and
Kees van den Doel and
Uri Ascher Stochastic Algorithms for Inverse
Problems Involving PDEs and many
Measurements . . . . . . . . . . . . . . S3--S22
Chao Yang and
Xiao-Chuan Cai A Scalable Fully Implicit Compressible
Euler Solver for Mesoscale
Nonhydrostatic Simulation of Atmospheric
Flows . . . . . . . . . . . . . . . . . S23--S47
Tamara G. Kolda and
Ali Pinar and
Todd Plantenga and
C. Seshadhri and
Christine Task Counting Triangles in Massive Graphs
with MapReduce . . . . . . . . . . . . . S48--S77
Jiyan Yang and
Xiangrui Meng and
Michael W. Mahoney Quantile Regression for Large-Scale
Applications . . . . . . . . . . . . . . S78--S110
Haim Avron and
Christos Boutsidis and
Sivan Toledo and
Anastasios Zouzias Efficient Dimensionality Reduction for
Canonical Correlation Analysis . . . . . S111--S131
N. Martin and
J. Monnier Four-Field Finite Element Solver and
Sensitivities for Quasi-Newtonian Flows S132--S165
Paul G. Constantine and
David F. Gleich and
Yangyang Hou and
Jeremy Templeton Model Reduction With MapReduce-enabled
Tall and Skinny Singular Value
Decomposition . . . . . . . . . . . . . S166--S191
Tristan van Leeuwen and
Felix J. Herrmann 3D Frequency-Domain Seismic Inversion
with Controlled Sloppiness . . . . . . . S192--S217
J. Fohring and
E. Haber and
L. Ruthotto Geophysical Imaging of Fluid Flow in
Porous Media . . . . . . . . . . . . . . S218--S236
Aleksandr Aravkin and
Rajiv Kumar and
Hassan Mansour and
Ben Recht and
Felix J. Herrmann Fast Methods for Denoising Matrix
Completion Formulations, with
Applications to Robust Seismic Data
Interpolation . . . . . . . . . . . . . S237--S266
Alexander G. Kalmikov and
Patrick Heimbach A Hessian-Based Method for Uncertainty
Quantification in Global Ocean State
Estimation . . . . . . . . . . . . . . . S267--S295
Paul J. Dellar Lattice Boltzmann Formulation for Linear
Viscoelastic Fluids Using an Abstract
Second Stress . . . . . . . . . . . . . A2507--A2532
B. Ayuso de Dios and
A. T. Barker and
P. S. Vassilevski A Combined Preconditioning Strategy for
Nonsymmetric Systems . . . . . . . . . . A2533--A2556
Miguel A. Fernández and
Jean-Frédéric Gerbeau and
Saverio Smaldone Explicit Coupling Schemes for a
Fluid-Fluid Interaction Problem Arising
in Hemodynamics . . . . . . . . . . . . A2557--A2583
Alex Gorodetsky and
Youssef Marzouk Efficient Localization of
Discontinuities in Complex Computational
Simulations . . . . . . . . . . . . . . A2584--A2610
Xiaojie Wang and
Siqing Gan and
Jingtian Tang Higher Order Strong Approximations of
Semilinear Stochastic Wave Equation with
Additive Space--time White Noise . . . . A2611--A2632
Chao Zhang and
Liping Jing and
Naihua Xiu A New Active Set Method For Nonnegative
Matrix Factorization . . . . . . . . . . A2633--A2653
Wei Zhang and
Han Wang and
Carsten Hartmann and
Marcus Weber and
Christof Schütte Applications of the Cross-Entropy Method
to Importance Sampling and Optimal
Control of Diffusions . . . . . . . . . A2654--A2672
Santiago Badia and
Alba Hierro On Monotonicity-Preserving Stabilized
Finite Element Approximations of
Transport Problems . . . . . . . . . . . A2673--A2697
Jianyu Pan and
Rihuan Ke and
Michael K. Ng and
Hai-Wei Sun Preconditioning Techniques for
Diagonal-times-Toeplitz Matrices in
Fractional Diffusion Equations . . . . . A2698--A2719
Lo\"\ic Giraldi and
Alexander Litvinenko and
Dishi Liu and
Hermann G. Matthies and
Anthony Nouy To Be or Not to Be Intrusive? The
Solution of Plain Vanilla'' Galerkin
Case . . . . . . . . . . . . . . . . . . A2720--A2744
Simone Deparis and
Davide Forti and
Alfio Quarteroni A Rescaled Localized Radial Basis
Function Interpolation on Non-Cartesian
and Nonconforming Grids . . . . . . . . A2745--A2762
Johann Guilleminot and
Christian Soize Itô SDE--based Generator for a Class of
Non-Gaussian Vector-valued Random Fields
in Uncertainty Quantification . . . . . A2763--A2786
Kenneth Duru and
Gunilla Kreiss and
Ken Mattsson Stable and High-Order Accurate Boundary
Treatments for the Elastic Wave Equation
on Second-Order Form . . . . . . . . . . A2787--A2818
Christiaan C. Stolk and
Mostak Ahmed and
Samir Kumar Bhowmik A Multigrid Method for the Helmholtz
Equation with Optimized Coarse Grid
Corrections . . . . . . . . . . . . . . A2819--A2841
Stefan Güttel and
Roel Van Beeumen and
Karl Meerbergen and
Wim Michiels NLEIGS: a Class of Fully Rational Krylov
Methods for Nonlinear Eigenvalue
Problems . . . . . . . . . . . . . . . . A2842--A2864
Xuan Zhao and
Zhi-zhong Sun and
Zhao-peng Hao A Fourth-order Compact ADI scheme for
Two-Dimensional Nonlinear Space
Fractional Schrödinger Equation . . . . . A2865--A2886
G. R. Barrenechea and
L. Boulton and
N. Boussa\"\id Finite Element Eigenvalue Enclosures for
the Maxwell Operator . . . . . . . . . . A2887--A2906
Tariq Aslam and
Songting Luo and
Hongkai Zhao A static PDE Approach for
MultiDimensional Extrapolation Using
Fast Sweeping Methods . . . . . . . . . A2907--A2928
Anil Damle and
Lin Lin and
Lexing Ying Pole Expansion for Solving a Type of
Parametrized Linear Systems in
Electronic Structure Calculations . . . A2929--A2951
Akil Narayan and
John D. Jakeman Adaptive Leja Sparse Grid Constructions
for Stochastic Collocation and
High-Dimensional Approximation . . . . . A2952--A2983
Jennifer Scott and
Miroslav Tuma On Signed Incomplete Cholesky
Factorization Preconditioners for
Saddle-Point Systems . . . . . . . . . . A2984--A3010
D. P. Kouri and
M. Heinkenschloss and
D. Ridzal and
B. G. van Bloemen Waanders Inexact Objective Function Evaluations
in a Trust-Region Algorithm for
PDE-Constrained Optimization under
Uncertainty . . . . . . . . . . . . . . A3011--A3029
Paul G. Constantine and
Eric Dow and
Qiqi Wang Erratum: Active Subspace Methods in
Theory and Practice: Applications to
Kriging Surfaces . . . . . . . . . . . . A3030--A3031
Jun Lai and
Sivaram Ambikasaran and
Leslie F. Greengard A Fast Direct Solver for High Frequency
Scattering from a Large Cavity in Two
Dimensions . . . . . . . . . . . . . . . B887--B903
Mohsen Zayernouri and
Wanrong Cao and
Zhongqiang Zhang and
George Em Karniadakis Spectral and Discontinuous Spectral
Element Methods for Fractional Delay
Equations . . . . . . . . . . . . . . . B904--B929
Edward G. Phillips and
Howard C. Elman and
Eric C. Cyr and
John N. Shadid and
Roger P. Pawlowski A Block Preconditioner for an Exact
Penalty Formulation for Stationary MHD B930--B951
S. Candelaresi and
D. Pontin and
G. Hornig Mimetic Methods for Lagrangian
Relaxation of Magnetic Fields . . . . . B952--B968
Daryl M. Kempthorne and
Ian W. Turner and
John A. Belward A Comparison of Techniques for the
Reconstruction of Leaf Surfaces from
Scanned Data . . . . . . . . . . . . . . B969--B988
S. Noelle and
G. Bispen and
K. R. Arun and
M. Lukácová-Medvidová and
C.-D. Munz A Weakly Asymptotic Preserving Low Mach
Number Scheme for the Euler Equations of
Gas Dynamics . . . . . . . . . . . . . . B989--B1024
Nicholas J. Higham and
Samuel D. Relton Estimating the Condition Number of the
Fréchet Derivative of a Matrix Function C617--C634
R. D. Falgout and
S. Friedhoff and
Tz. V. Kolev and
S. P. MacLachlan and
J. B. Schroder Parallel Time Integration with Multigrid C635--C661
Yin-Liang Huang and
Tsung-Ming Huang and
Wen-Wei Lin and
Wei-Cheng Wang A Null Space Free Jacobi--Davidson
Iteration for Maxwell's Operator . . . . A1--A29
Eran Treister and
Irad Yavneh Non-Galerkin Multigrid Based on
Sparsified Smoothed Aggregation . . . . A30--A54
Fanhai Zeng and
Changpin Li and
Fawang Liu and
Ian Turner Numerical Algorithms for Time-Fractional
Subdiffusion Equation with Second-Order
Accuracy . . . . . . . . . . . . . . . . A55--A78
Yi Chen and
John Jakeman and
Claude Gittelson and
Dongbin Xiu Local Polynomial Chaos Expansion for
Linear Differential Equations with High
Dimensional Random Inputs . . . . . . . A79--A102
Qifeng Liao and
Karen Willcox A Domain Decomposition Approach for
Uncertainty Analysis . . . . . . . . . . A103--A133
Yujia Chen and
Colin B. Macdonald The Closest Point Method and Multigrid
Solvers for Elliptic Equations on
Surfaces . . . . . . . . . . . . . . . . A134--A155
Adam Chacon and
Alexander Vladimirsky A Parallel Two-Scale Method for Eikonal
Equations . . . . . . . . . . . . . . . A156--A180
Alessandro Alla and
Maurizio Falcone and
Dante Kalise An Efficient Policy Iteration Algorithm
for Dynamic Programming Equations . . . A181--A200
Gilles Vilmart Postprocessed Integrators for the High
Order Integration of Ergodic SDEs . . . A201--A220
Huangxin Chen and
Haijun Wu and
Xuejun Xu Multilevel Preconditioner with Stable
Coarse Grid Corrections for the
Helmholtz Equation . . . . . . . . . . . A221--A244
Christoph Lehrenfeld The Nitsche XFEM--DG Space--time Method
and its Implementation in Three Space
Dimensions . . . . . . . . . . . . . . . A245--A270
Xinlong Feng and
Tao Tang and
Jiang Yang Long Time Numerical Simulations for
Phase-Field Problems Using $p$-Adaptive
Spectral Deferred Correction Methods . . A271--A294
Wanrong Cao and
Zhongqiang Zhang and
George Em Karniadakis Numerical Methods for Stochastic Delay
Differential Equations Via the
Wong--Zakai Approximation . . . . . . . A295--A318
G. Ciaramella and
A. Borz\`\i and
G. Dirr and
D. Wachsmuth Newton Methods for the Optimal Control
of Closed Quantum Spin Systems . . . . . A319--A346
Lo\"\ic Giraldi and
Dishi Liu and
Hermann G. Matthies and
Anthony Nouy To Be or Not to be Intrusive? The
Solution of Parametric and Stochastic
Equations --- Proper Generalized
Decomposition . . . . . . . . . . . . . A347--A368
R. I. McLachlan and
M. C. Wilkins The Multisymplectic Diamond Scheme . . . A369--A390
Daniel Osei-Kuffuor and
Ruipeng Li and
Yousef Saad Matrix Reordering Using Multilevel Graph
Coarsening for $ I L U $ Preconditioning A391--A419
Zhiming Gao and
Jiming Wu A Second-Order Positivity-Preserving
Finite Volume Scheme for Diffusion
Equations on General Meshes . . . . . . A420--A438
J. Sastre and
J. Ibánñez and
E. Defez and
P. Ruiz New Scaling-Squaring Taylor Algorithms
for Computing the Matrix Exponential . . A439--A455
Awad H. Al-Mohy and
Nicholas J. Higham and
Samuel D. Relton New Algorithms for Computing the Matrix
Sine and Cosine Separately or
Simultaneously . . . . . . . . . . . . . A456--A487
Zheng Wang and
Ming-Jun Lai and
Zhaosong Lu and
Wei Fan and
Hasan Davulcu and
Jieping Ye Orthogonal Rank-One Matrix Pursuit for
Low Rank Matrix Completion . . . . . . . A488--A514
Pedro R. S. Antunes and
Rui A. C. Ferreira An Augmented-RBF Method for Solving
Fractional Sturm--Liouville Eigenvalue
Problems . . . . . . . . . . . . . . . . A515--A535
Penghang Yin and
Yifei Lou and
Qi He and
Jack Xin Minimization of $ \ell_{1 - 2} $ for
Compressed Sensing . . . . . . . . . . . A536--A563
Martin Stoll and
Tobias Breiten A Low-Rank in Time Approach to
PDE-Constrained Optimization . . . . . . B1--B29
Matthias Mayr and
Thomas Klöppel and
Wolfgang A. Wall and
Michael W. Gee A Temporal Consistent Monolithic
Approach to Fluid-Structure Interaction
Enabling Single Field Predictors . . . . B30--B59
L. Harhanen and
N. Hyvönen and
H. Majander and
S. Staboulis Edge-Enhancing Reconstruction Algorithm
for Three-Dimensional Electrical
Impedance Tomography . . . . . . . . . . B60--B78
M. Boileau and
C. Chalons and
M. Massot Robust Numerical Coupling of Pressure
and Pressureless Gas Dynamics Equations
for Eulerian Spray DNS and LES . . . . . B79--B102
Liping Zhang and
Hung-Yuan Fan and
Eric King-wah Chu and
Yimin Wei Homotopy for Rational Riccati Equations
Arising in Stochastic Optimal Control B103--B125
Vedran Novakovi\'c A Hierarchically Blocked Jacobi SVD
Algorithm for Single and Multiple
Graphics Processing Units . . . . . . . C1--C30
Rebecka Tumblin and
Peter Ahrens and
Sara Hartse and
Robert W. Robey Parallel Compact Hash Algorithms for
Computational Meshes . . . . . . . . . . C31--C53
Felix Gremse and
Andreas Höfter and
Lars Ole Schwen and
Fabian Kiessling and
Uwe Naumann GPU-Accelerated Sparse Matrix-Matrix
Multiplication by Iterative Row Merging C54--C71
Carlo Janna and
Massimiliano Ferronato and
Giuseppe Gambolati The Use of Supernodes in Factored Sparse
Approximate Inverse Preconditioning . . C72--C94
Pedro Gonnet Efficient and Scalable Algorithms for
Smoothed Particle Hydrodynamics on
Hybrid Shared/Distributed-Memory
Architectures . . . . . . . . . . . . . C95--C121
Thomas Luu Efficient and Accurate Parallel
Inversion of the Gamma Distribution . . C122--C141
M. V. Rakhuba and
I. V. Oseledets Fast Multidimensional Convolution in
Low-Rank Tensor Formats via Cross
Approximation . . . . . . . . . . . . . A565--A582
Tao Xiong and
Jing-Mei Qiu and
Zhengfu Xu High Order Maximum-Principle-Preserving
Discontinuous Galerkin Method for
Convection-Diffusion Equations . . . . . A583--A608
Jingchen Liu and
Jianfeng Lu and
Xiang Zhou Efficient Rare Event Simulation for
Failure Problems in Random Media . . . . A609--A624
Z. Drmac and
S. Gugercin and
C. Beattie Quadrature-Based Vector Fitting for
Discretized $ \mathcal {H}_2 $
Approximation . . . . . . . . . . . . . A625--A652
Lidia Aceto and
Cecilia Magherini and
Paolo Novati On the Construction and Properties of
$m$-step Methods for FDEs . . . . . . . A653--A675
Richard Mikael Slevinsky and
Sheehan Olver On The Use of Conformal Maps for the
Acceleration of Convergence of the
Trapezoidal Rule and Sinc Numerical
Methods . . . . . . . . . . . . . . . . A676--A700
Minling Zheng and
Fawang Liu and
Ian Turner and
Vo Anh A Novel High Order Space--time Spectral
Method for the Time Fractional
Fokker--Planck Equation . . . . . . . . A701--A724
J. Alex Lee and
Jaewook Nam and
Matteo Pasquali A New Stabilization of Adaptive Step
Trapezoid Rule Based on Finite
Difference Interrupts . . . . . . . . . A725--A746
Marcus J. Grote and
Michaela Mehlin and
Teodora Mitkova Runge--Kutta-Based Explicit Local
Time-Stepping Methods for Wave
Propagation . . . . . . . . . . . . . . A747--A775
E. Musharbash and
F. Nobile and
T. Zhou Error Analysis of the Dynamically
Orthogonal Approximation of Time
Dependent Random PDEs . . . . . . . . . A776--A810
Mingchao Cai and
Luca F. Pavarino and
Olof B. Widlund Overlapping Schwarz Methods with a
Standard Coarse Space for Almost
Incompressible Linear Elasticity . . . . A811--A830
Eberhard Bänsch and
Peter Benner and
Jens Saak and
Heiko K. Weichelt Riccati-based Boundary Feedback
Stabilization of Incompressible
Navier--Stokes Flows . . . . . . . . . . A832--A858
M. J. Ruijter and
C. W. Oosterlee A Fourier Cosine Method for an Efficient
Computation of Solutions to BSDEs . . . A859--A889
Minghua Chen and
Weihua Deng High Order Algorithms for the Fractional
Substantial Diffusion Equation with
Truncated Lévy Flights . . . . . . . . . A890--A917
Ch. Meyer and
A. Rademacher and
W. Wollner Adaptive Optimal Control of the Obstacle
Problem . . . . . . . . . . . . . . . . A918--A945
Jesper Karlsson and
Stig Larsson and
Mattias Sandberg and
Anders Szepessy and
Raúl Tempone An Error Estimate for Symplectic Euler
Approximation of Optimal Control
Problems . . . . . . . . . . . . . . . . A946--A969
Shu-Lin Wu and
Tao Zhou Convergence Analysis for Three Parareal
Solvers . . . . . . . . . . . . . . . . A970--A992
R. I. Saye High-Order Quadrature Methods for
Implicitly Defined Surfaces and Volumes
in Hyperrectangles . . . . . . . . . . . A993--A1019
J. van der Herten and
I. Couckuyt and
D. Deschrijver and
T. Dhaene A Fuzzy Hybrid Sequential Design
Strategy for Global Surrogate Modeling
of High-Dimensional Computer Experiments A1020--A1039
Hadi Pouransari and
Eric Darve Optimizing the Adaptive Fast Multipole
Method for Fractal Sets . . . . . . . . A1040--A1066
Cameron Talischi A Family of $ H(d i v) $ Finite Element
Approximations on Polygonal Meshes . . . A1067--A1088
William B. March and
Bo Xiao and
George Biros ASKIT: Approximate Skeletonization
Kernel-Independent Treecode in High
Dimensions . . . . . . . . . . . . . . . A1089--A1110
Jean-David Benamou and
Guillaume Carlier and
Marco Cuturi and
Luca Nenna and
Gabriel Peyré Iterative Bregman Projections for
Regularized Transportation Problems . . A1111--A1138
K. A. Cliffe and
J. Collis and
P. Houston Goal-Oriented A Posteriori Error
Estimation For The Travel Time
Functional In Porous Media Flows . . . . B127--B152
Kevin Carlberg and
Ray Tuminaro and
Paul Boggs Preserving Lagrangian Structure in
Nonlinear Model Reduction with
Application to Structural Dynamics . . . B153--B184
Julia Springer and
Karsten Urban Adjoint-Based Optimization for Rigid
Body Motion in Multiphase Navier--Stokes
Flow . . . . . . . . . . . . . . . . . . B185--B214
Craig S. MacDonald and
John A. Mackenzie and
Alison Ramage and
Christopher J. P. Newton Efficient Moving Mesh Methods for
$Q$-Tensor Models of Nematic Liquid
Crystals . . . . . . . . . . . . . . . . B215--B238
Peter Benner and
Tobias Breiten Two-Sided Projection Methods for
Nonlinear Model Order Reduction . . . . B239--B260
R. C. Cabrales and
F. Guillén-González and
J. V. Gutiérrez-Santacreu A Time-Splitting Finite-Element Stable
Approximation for the Ericksen--Leslie
Equations . . . . . . . . . . . . . . . B261--B282
Kai Bittner and
Hans Georg Brachtendorf Fast Algorithms for Adaptive Free Knot
Spline Approximation Using Nonuniform
Biorthogonal Spline Wavelets . . . . . . B283--B304
Sebastiano Boscarino and
Raimund Bürger and
Pep Mulet and
Giovanni Russo and
Luis M. Villada Linearly Implicit IMEX Runge--Kutta
Methods for a Class of Degenerate
Convection-Diffusion Problems . . . . . B305--B331
Julianne M. Chung and
Misha E. Kilmer and
Dianne P. O'Leary A Framework for Regularization via
Operator Approximation . . . . . . . . . B332--B359
Björn Gmeiner and
Ulrich Rüde and
Holger Stengel and
Christian Waluga and
Barbara Wohlmuth Performance and Scalability of
Hierarchical Hybrid Multigrid Solvers
for Stokes Systems . . . . . . . . . . . C143--C168
Edmond Chow and
Aftab Patel Fine-Grained Parallel Incomplete LU
Factorization . . . . . . . . . . . . . C169--C193
Pieter Ghysels and
Wim Vanroose Modeling the Performance of Geometric
Multigrid Stencils on Multicore Computer
Architectures . . . . . . . . . . . . . C194--C216
Laura Grigori and
Sophie Moufawad Communication Avoiding ILU0
Preconditioner . . . . . . . . . . . . . C217--C246
Anastasios Karangelis and
Sébastien Loisel Condition Number Estimates and Weak
Scaling for $2$-Level $2$-Lagrange
Multiplier Methods for General Domains
and Cross Points . . . . . . . . . . . . C247--C267
Patrick R. Amestoy and
Iain S. Duff and
Jean-Yves L'Excellent and
François-Henry Rouet Parallel Computation of Entries of $
A^{-1} $ . . . . . . . . . . . . . . . . C268--C284
M. Gu Subspace Iteration Randomization and
Singular Value Problems . . . . . . . . A1139--A1173
Sergiy Zhuk and
Jason Frank and
Isabelle Herlin and
Robert Shorten Data Assimilation for Linear Parabolic
Equations: Minimax Projection Method . . A1174--A1196
Mengdi Zheng and
George Em Karniadakis Numerical Methods for SPDEs with
Tempered Stable Processes . . . . . . . A1197--A1217
Francis Filbet and
Thomas Rey A Hierarchy of Hybrid Numerical Methods
for Multiscale Kinetic Equations . . . . A1218--A1247
Iain S. Duff and
Ronan Guivarch and
Daniel Ruiz and
Mohamed Zenadi The Augmented Block Cimmino Distributed
Method . . . . . . . . . . . . . . . . . A1248--A1269
Roland Becker and
Daniela Capatina and
Robert Luce and
David Trujillo Stabilized Finite Element Formulation
with Domain Decomposition for
Incompressible Flows . . . . . . . . . . A1270--A1296
S. Bonettini and
A. Chiuso and
M. Prato A Scaled Gradient Projection Method for
Bayesian Learning in Dynamical Systems A1297--A1318
Arta A. Jamshidi and
Michael J. Kirby A Radial Basis Function Algorithm with
Automatic Model Order Determination . . A1319--A1341
Tsz Wai Wong and
Hong-kai Zhao Computing Surface Uniformization Using
Discrete Beltrami Flow . . . . . . . . . A1342--A1364
Anthony P. Austin and
Lloyd N. Trefethen Computing Eigenvalues of Real Symmetric
Matrices with Rational Filters in Real
Arithmetic . . . . . . . . . . . . . . . A1365--A1387
Lulu Liu and
David E. Keyes Field-Split Preconditioned Inexact
Newton Algorithms . . . . . . . . . . . A1388--A1409
Liang Yan and
Ling Guo Stochastic Collocation Algorithms Using
$ l_1$-Minimization for Bayesian
Solution of Inverse Problems . . . . . . A1410--A1435
Josef Dick and
Frances Y. Kuo and
Quoc T. Le Gia and
Christoph Schwab Fast QMC Matrix--Vector Multiplication A1436--A1450
Patrick Amestoy and
Cleve Ashcraft and
Olivier Boiteau and
Alfredo Buttari and
Jean-Yves L'Excellent and
Clément Weisbecker Improving Multifrontal Methods by Means
of Block Low-Rank Representations . . . A1451--A1474
M. Ganesh and
S. C. Hawkins A High Performance Computing and
Sensitivity Analysis Algorithm for
Stochastic Many-Particle Wave Scattering A1475--A1503
L. Fatone and
D. Funaro Optimal Collocation Nodes for Fractional
Derivative Operators . . . . . . . . . . A1504--A1524
Shelvean Kapita and
Peter Monk and
Timothy Warburton Residual-Based Adaptivity and PWDG
Methods for the Helmholtz Equation . . . A1525--A1553
Michael Messner and
Martin Schanz and
Johannes Tausch An Efficient Galerkin Boundary Element
Method for the Transient Heat Equation A1554--A1576
Lukas Einkemmer and
Alexander Ostermann Overcoming Order Reduction in
Diffusion-Reaction Splitting. Part 1:
Dirichlet Boundary Conditions . . . . . A1577--A1592
G. Yu. Kulikov and
R. Weiner A Singly Diagonally Implicit Two-Step
Peer Triple with Global Error Control
for Stiff Ordinary Differential
Equations . . . . . . . . . . . . . . . A1593--A1613
Ning Du and
Hong Wang A Fast Finite Element Method for
Space-Fractional Dispersion Equations on
Bounded Domains in $ \mathbb {R}^2 $ . . A1614--A1635
Yingfei Wang and
Kristofer G. Reyes and
Keith A. Brown and
Chad A. Mirkin and
Warren B. Powell Nested-Batch-Mode Learning and
Stochastic Optimization with An
Application to Sequential MultiStage
Testing in Materials Science . . . . . . B361--B381
Praveen Chandrashekar and
Christian Klingenberg A Second Order Well-Balanced Finite
Volume Scheme for Euler Equations with
Gravity . . . . . . . . . . . . . . . . B382--B402
D. M. Kelly and
Q. Chen and
J. Zang PICIN: a Particle-in-Cell Solver for
Incompressible Free Surface Flows with
Two-Way Fluid-Solid Coupling . . . . . . B403--B424
Simon Praetorius and
Axel Voigt Development and Analysis of a
Block-Preconditioner for the Phase-Field
Crystal Equation . . . . . . . . . . . . B425--B451
Gudmundur F. Adalsteinsson and
Nicholas K.-R. Kevlahan Compressive Sampling for Energy Spectrum
Estimation of Turbulent Flows . . . . . B452--B472
Ebrahim M. Kolahdouz and
David Salac Electrohydrodynamics of
Three-Dimensional Vesicles: a Numerical
Approach . . . . . . . . . . . . . . . . B473--B494
Eric de Sturler and
Serkan Gugercin and
Misha E. Kilmer and
Saifon Chaturantabut and
Christopher Beattie and
Meghan O'Connell Nonlinear Parametric Inversion Using
Interpolatory Model Reduction . . . . . B495--B517
Stefano Berrone and
Sandra Pieraccini and
Stefano Scial\`o and
Fabio Vicini A Parallel Solver for Large Scale DFN
Flow Simulations . . . . . . . . . . . . C285--C306
Ichitaro Yamazaki and
Stanimire Tomov and
Jack Dongarra Mixed-Precision Cholesky $ Q R $
Factorization and Its Case Studies on
Multicore CPU with Multiple GPUs . . . . C307--C330
Brendan Harding and
Markus Hegland and
Jay Larson and
James Southern Fault Tolerant Computation with the
Sparse Grid Combination Technique . . . C331--C353
Debojyoti Ghosh and
Emil M. Constantinescu and
Jed Brown Efficient Implementation of Nonlinear
Compact Schemes on Massively Parallel
Platforms . . . . . . . . . . . . . . . C354--C383
Lars Karlsson and
Françoise Tisseur Algorithms for Hessenberg-Triangular
Reduction of Fiedler Linearization of
Matrix Polynomials . . . . . . . . . . . C384--C414
Nick Vannieuwenhoven and
Karl Meerbergen and
Raf Vandebril Computing the Gradient in Optimization
Algorithms for the CP Decomposition in
Constant Memory through Tensor Blocking C415--C438
Mario Amrein and
Thomas P. Wihler Fully Adaptive Newton--Galerkin Methods
for Semilinear Elliptic Partial
Differential Equations . . . . . . . . . A1637--A1657
Yat Tin Chow and
Kazufumi Ito and
Keji Liu and
Jun Zou Direct Sampling Method for Diffusive
Optical Tomography . . . . . . . . . . . A1658--A1684
Eric Dow and
Qiqi Wang Optimization of Gaussian Random Fields A1685--A1704
Erik Burman and
Susanne Claus and
André Massing A Stabilized Cut Finite Element Method
for the Three Field Stokes Problem . . . A1705--A1726
Shuhuang Xiang and
Guo He The Fast Implementation of Higher Order
Hermite--Fejér Interpolation . . . . . . A1727--A1751
Wanrong Cao and
Zhongqiang Zhang and
George Em Karniadakis Time-Splitting Schemes for Fractional
Differential Equations I: Smooth
Solutions . . . . . . . . . . . . . . . A1752--A1776
Mohsen Zayernouri and
Mark Ainsworth and
George Em Karniadakis Tempered Fractional Sturm--Liouville
EigenProblems . . . . . . . . . . . . . A1777--A1800
Jason E. Hicken and
Alp Dener A Flexible Iterative Solver for
Nonconvex, Equality-Constrained
Quadratic Subproblems . . . . . . . . . A1801--A1824
Andrew J. Christlieb and
Yuan Liu and
Qi Tang and
Zhengfu Xu Positivity-Preserving Finite Difference
Weighted ENO Schemes with Constrained
Transport for Ideal Magnetohydrodynamic
Equations . . . . . . . . . . . . . . . A1825--A1845
Harald Garcke and
Claudia Hecht and
Michael Hinze and
Christian Kahle Numerical Approximation of Phase Field
Based Shape and Topology Optimization
for Fluids . . . . . . . . . . . . . . . A1846--A1871
Mengdi Zheng and
Boris Rozovsky and
George E. Karniadakis Adaptive Wick--Malliavin Approximation
to Nonlinear SPDEs with Discrete Random
Variables . . . . . . . . . . . . . . . A1872--A1890
Roberto Cavoretto and
Alessandra De Rossi A Trivariate Interpolation Algorithm
Using a Cube-Partition Searching
Procedure . . . . . . . . . . . . . . . A1891--A1908
Antonio Márquez and
Salim Meddahi and
Thanh Tran Analyses of Mixed Continuous and
Discontinuous Galerkin Methods for the
tIme Harmonic Elasticity Problem with
Reduced Symmetry . . . . . . . . . . . . A1909--A1933
Rodrigo B. Platte $ C^\infty $ Compactly Supported and
Positive Definite Radial Kernels . . . . A1934--A1956
R. Aubry and
S. Dey and
E. Mestreau and
K. Karamete and
D. Gayman An Entropy Satisfying Boundary Layer
Surface Mesh Generation . . . . . . . . A1957--A1974
Michael Ulbrich and
Zaiwen Wen and
Chao Yang and
Dennis Klöckner and
Zhaosong Lu A Proximal Gradient Method for Ensemble
Density Functional Theory . . . . . . . A1975--A2002
B. Brumm A Fast Matrix-free Algorithm for
Spectral Approximations to the
Schrödinger Equation . . . . . . . . . . A2003--A2025
P. E. Farrell and
Á. Birkisson and
S. W. Funke Deflation Techniques for Finding
Distinct Solutions of Nonlinear Partial
Differential Equations . . . . . . . . . A2026--A2045
Lei-Hong Zhang and
Wei Hong Yang and
Chungen Shen and
Ren-Cang Li A Krylov Subspace Method for Large-Scale
Second-Order Cone Linear Complementarity
Problem . . . . . . . . . . . . . . . . A2046--A2075
Robert J. Renka A Simple and Efficient Method for
Modeling Constant Mean Curvature
Surfaces . . . . . . . . . . . . . . . . A2076--A2099
Stefan Güttel and
Eric Polizzi and
Ping Tak Peter Tang and
Gautier Viaud Zolotarev Quadrature Rules and Load
Balancing for the FEAST Eigensolver . . A2100--A2122
Benjamin Peherstorfer and
Karen Willcox Online Adaptive Model Reduction for
Nonlinear Systems via Low-Rank Updates A2123--A2150
Alex Barnett and
Bowei Wu and
Shravan Veerapaneni Spectrally Accurate Quadratures for
Evaluation of Layer Potentials Close to
the Boundary for the $2$D Stokes and
Laplace Equations . . . . . . . . . . . B519--B542
Jisheng Kou and
Shuyu Sun Numerical Methods for a Multicomponent
Two-Phase Interface Model with Geometric
Mean Influence Parameters . . . . . . . B543--B569
G. Ala and
G. Fasshauer and
E. Francomano and
S. Ganci and
M. McCourt The Method of Fundamental Solutions in
Solving Coupled Boundary Value Problems
for M/EEG . . . . . . . . . . . . . . . B570--B590
J. P. Whiteley A Discontinuous Galerkin Finite Element
Method for Multiphase Viscous Flow . . . B591--B612
Katharina Kormann A Semi-Lagrangian Vlasov Solver in
Tensor Train Format . . . . . . . . . . B613--B632
Marco Artina and
Massimo Fornasier and
Stefano Micheletti and
Simona Perotto Anisotropic Mesh Adaptation for Crack
Detection In Brittle Materials . . . . . B633--B659
Chen-Hung Wu and
Thomas G. Fai and
Paul J. Atzberger and
Charles S. Peskin Simulation of Osmotic Swelling by the
Stochastic Immersed Boundary Method . . B660--B688
T. Malas and
G. Hager and
H. Ltaief and
H. Stengel and
G. Wellein and
D. Keyes Multicore-Optimized Wavefront Diamond
Blocking for Optimizing Stencil Updates C439--C464
M. Sebastian Pauletti and
Massimiliano Martinelli and
Nicola Cavallini and
Pablo Antolin Igatools: an Isogeometric Analysis
Library . . . . . . . . . . . . . . . . C465--C496
Jesse Chan and
T. Warburton A Comparison of High Order Interpolation
Nodes for the Pyramid . . . . . . . . . A2151--A2170
Igor N. Konshin and
Maxim A. Olshanskii and
Yuri V. Vassilevski ILU Preconditioners for Nonsymmetric
Saddle-Point Matrices with Application
to the Incompressible Navier--Stokes
Equations . . . . . . . . . . . . . . . A2171--A2197
Wei Gong and
Hehu Xie and
Ningning Yan A Multilevel Correction Method for
Optimal Controls of Elliptic Equations A2198--A2221
Lorenz Berger and
Rafel Bordas and
David Kay and
Simon Tavener Stabilized Lowest-Order Finite Element
Approximation for Linear Three-Field
Poroelasticity . . . . . . . . . . . . . A2222--A2245
Jingwei Hu and
Shi Jin and
Dongbin Xiu A Stochastic Galerkin Method for
Hamilton--Jacobi Equations with
Uncertainty . . . . . . . . . . . . . . A2246--A2269
Sander Rhebergen and
Garth N. Wells and
Andrew J. Wathen and
Richard F. Katz Three-Field Block Preconditioners for
Models of Coupled Magma/Mantle Dynamics A2270--A2294
E. Gobet and
G. Liu Rare Event Simulation Using Reversible
Shaking Transformations . . . . . . . . A2295--A2316
Khachik Sargsyan and
Francesco Rizzi and
Paul Mycek and
Cosmin Safta and
Karla Morris and
Habib Najm and
Olivier Le Ma\^\itre and
Omar Knio and
Bert Debusschere Fault Resilient Domain Decomposition
Preconditioner for PDEs . . . . . . . . A2317--A2345
Z. Drmac and
S. Gugercin and
C. Beattie Vector Fitting for Matrix-valued
Rational Approximation . . . . . . . . . A2346--A2379
Ralf Hannemann-Tamás and
Diego A. Munñoz and
Wolfgang Marquardt Adjoint Sensitivity Analysis for
Nonsmooth Differential-Algebraic
Equation Systems . . . . . . . . . . . . A2380--A2402
Tsung-Ming Huang and
Wei-Qiang Huang and
Wen-Wei Lin A Robust Numerical Algorithm for
Computing Maxwell's Transmission
Eigenvalue Problems . . . . . . . . . . A2403--A2423
Lars Grasedyck and
Melanie Kluge and
Sebastian Krämer Variants of Alternating Least Squares
Tensor Completion in the Tensor Train
Format . . . . . . . . . . . . . . . . . A2424--A2450
Herbert Egger and
Fritz Kretzschmar and
Sascha M. Schnepp and
Thomas Weiland A Space--time Discontinuous Galerkin
Trefftz Method for Time Dependent
Maxwell's Equations . . . . . . . . . . B689--B711
Arvind K. Saibaba and
Misha Kilmer and
Eric L. Miller and
Sergio Fantini Fast Algorithms for Hyperspectral
Diffuse Optical Tomography . . . . . . . B712--B743
Marta Benítez and
Alfredo Bermúdez Second-Order Pure Lagrange--Galerkin
Methods for Fluid-Structure Interaction
Problems . . . . . . . . . . . . . . . . B744--B777
Tobin Isaac and
Carsten Burstedde and
Lucas C. Wilcox and
Omar Ghattas Recursive Algorithms for Distributed
Forests of Octrees . . . . . . . . . . . C497--C531
Miroslav Stoyanov and
Clayton Webster Numerical Analysis of Fixed Point
Algorithms in the Presence of Hardware
Faults . . . . . . . . . . . . . . . . . C532--C553
Grady B. Wright and
Mohsin Javed and
Hadrien Montanelli and
Lloyd N. Trefethen Extension of Chebfun to Periodic
Functions . . . . . . . . . . . . . . . C554--C573
Bilal Hatipoglu and
Can Ozturan Parallel Triangular Mesh Refinement by
Longest Edge Bisection . . . . . . . . . C574--C588
Ryan A. Rossi and
David F. Gleich and
Assefaw H. Gebremedhin Parallel Maximum Clique Algorithms with
Applications to Network Analysis . . . . C589--C616
Michele Benzi Special Section: 2014 Copper Mountain
Conference . . . . . . . . . . . . . . . S1--S2
Eugene Vecharynski and
Andrew Knyazev Preconditioned Locally Harmonic Residual
Method for Computing Interior Eigenpairs
of Certain Classes of Hermitian Matrices S3--S29
A. Lanza and
S. Morigi and
L. Reichel and
F. Sgallari A Generalized Krylov Subspace Method for
$ \ell_p$--$ \ell_q$ Minimization . . . S30--S50
Benjamin Peherstorfer and
Stefan Zimmer and
Christoph Zenger and
Hans-Joachim Bungartz A Multigrid Method for Adaptive Sparse
Grids . . . . . . . . . . . . . . . . . S51--S70
C. Ketelsen and
T. Manteuffel and
J. B. Schroder Least-Squares Finite Element
Discretization of the Neutron Transport
Equation in Spherical Geometry . . . . . S71--S89
Manuel Baumann and
Martin B. van Gijzen Nested Krylov Methods for Shifted Linear
Systems . . . . . . . . . . . . . . . . S90--S112
R. Bank and
R. Falgout and
T. Jones and
T. A. Manteuffel and
S. F. McCormick and
J. W. Ruge Algebraic Multigrid Domain and Range
Decomposition (AMG-DD/AMG-RD) . . . . . S113--S136
J. Nance and
C. T. Kelley A Sparse Interpolation Algorithm for
Dynamical Simulations in Computational
Chemistry . . . . . . . . . . . . . . . S137--S156
J. H. Adler and
T. J. Atherton and
T. R. Benson and
D. B. Emerson and
S. P. MacLachlan Energy Minimization for Liquid Crystal
Equilibrium with Electric and
Flexoelectric Effects . . . . . . . . . S157--S176
Howard C. Elman and
Virginia Forstall Preconditioning Techniques for Reduced
Basis Methods for Parameterized Elliptic
Partial Differential Equations . . . . . S177--S194
I. Livshits Multiple Galerkin Adaptive Algebraic
Multigrid Algorithm for the Helmholtz
Equations . . . . . . . . . . . . . . . S195--S215
Jessica Bosch and
Martin Stoll Preconditioning for Vector-Valued
Cahn--Hilliard Equations . . . . . . . . S216--S243
M. L. Minion and
R. Speck and
M. Bolten and
M. Emmett and
D. Ruprecht Interweaving PFASST and Parallel
Multigrid . . . . . . . . . . . . . . . S244--S263
Xiaoming He and
Jian Li and
Yanping Lin and
Ju Ming A Domain Decomposition Method for the
Steady-State Navier--Stokes--Darcy Model
with Beavers--Joseph Interface Condition S264--S290
Jizu Huang and
Chao Yang and
Xiao-Chuan Cai A Fully Implicit Method for Lattice
Boltzmann Equations . . . . . . . . . . S291--S313
C. A. Leibs and
T. A. Manteuffel Nested Iteration and First-Order Systems
Least Squares for a Two-Fluid
Electromagnetic Darwin Model . . . . . . S314--S333
Christian Boehm and
Michael Ulbrich A Semismooth Newton--CG Method for
Constrained Parameter Identification in
Seismic Tomography . . . . . . . . . . . S334--S364
Lingfei Wu and
Andreas Stathopoulos A Preconditioned Hybrid SVD Method for
Accurately Computing Singular Triplets
of Large Matrices . . . . . . . . . . . S365--S388
Sebastian Berisha and
James G. Nagy and
Robert J. Plemmons Deblurring and Sparse Unmixing of
Hyperspectral Images Using Multiple
Point Spread Functions . . . . . . . . . S389--S406
Quan Liu and
Ronald B. Morgan and
Walter Wilcox Polynomial Preconditioned GMRES and
GMRES--DR . . . . . . . . . . . . . . . S407--S428
Kapil Ahuja and
Peter Benner and
Eric de Sturler and
Lihong Feng Recycling BiCGSTAB with an Application
to Parametric Model Order Reduction . . S429--S446
Minghao W. Rostami New Algorithms for Computing the Real
Structured Pseudospectral Abscissa and
the Real Stability Radius of Large and
Sparse Matrices . . . . . . . . . . . . S447--S471
Margherita Porcelli and
Valeria Simoncini and
Mattia Tani Preconditioning of Active-Set Newton
Methods for PDE-constrained Optimal
Control Problems . . . . . . . . . . . . S472--S502
Eunjung Lee and
Thomas A. Manteuffel and
Chad R. Westphal FOSLL* for Nonlinear Partial
Differential Equations . . . . . . . . . S503--S525
Tu\ugrul Dayar and
M. Can Orhan On Vector-Kronecker Product
Multiplication with Rectangular Factors S526--S543
Mario Arioli and
Iain S. Duff Preconditioning Linear Least-Squares
Problems by Identifying a Basis Matrix S544--S561
Julianne Chung and
Katrina Palmer A Hybrid LSMR Algorithm for Large-Scale
Tikhonov Regularization . . . . . . . . S562--S580
Sarah W. Gaaf and
Michiel E. Hochstenbach Probabilistic Bounds for the Matrix
Condition Number with Extended Lanczos
Bidiagonalization . . . . . . . . . . . S581--S601
M. Naumov and
M. Arsaev and
P. Castonguay and
J. Cohen and
J. Demouth and
J. Eaton and
S. Layton and
N. Markovskiy and
I. Reguly and
N. Sakharnykh and
V. Sellappan and
R. Strzodka AmgX: a Library for GPU Accelerated
Algebraic Multigrid and Preconditioned
Iterative Methods . . . . . . . . . . . S602--S626
Alessio Spantini and
Antti Solonen and
Tiangang Cui and
James Martin and
Luis Tenorio and
Youssef Marzouk Optimal Low-rank Approximations of
Bayesian Linear Inverse Problems . . . . A2451--A2487
Xiaoxiao Chen and
Yanyan He and
Dongbin Xiu An Efficient Method for Uncertainty
Propagation using Fuzzy Sets . . . . . . A2488--A2507
Buyang Li and
Jun Liu and
Mingqing Xiao A Fast and Stable Preconditioned
Iterative Method for Optimal Control
Problem of Wave Equations . . . . . . . A2508--A2534
Faidra Stavropoulou and
Johannes Müller Parametrization of Random Vectors in
Polynomial Chaos Expansions via Optimal
Transportation . . . . . . . . . . . . . A2535--A2557
Reiichiro Kawai Measuring Impact of Random Jumps Without
Sample Path Generation . . . . . . . . . A2558--A2582
Yidu Yang and
Hai Bi and
Jiayu Han and
Yuanyuan Yu The Shifted-Inverse Iteration Based on
the Multigrid Discretizations for
Eigenvalue Problems . . . . . . . . . . A2583--A2606
D. Breda and
P. Getto and
J. Sánchez Sanz and
R. Vermiglio Computing the Eigenvalues of Realistic
Daphnia Models by Pseudospectral Methods A2607--A2629
Nicholas Hale and
J. A. C. Weideman Contour Integral Solution of Elliptic
PDEs in Cylindrical Domains . . . . . . A2630--A2655
Jean-Luc Guermond and
Peter Minev High-Order Time Stepping for the
Incompressible Navier--Stokes Equations A2656--A2681
P. D. Boom and
D. W. Zingg High-Order Implicit Time-Marching
Methods Based on Generalized
Summation-By-Parts Operators . . . . . . A2682--A2709
Fanhai Zeng and
Zhongqiang Zhang and
George Em Karniadakis A Generalized Spectral Collocation
Method with Tunable Accuracy for
Variable-Order Fractional Differential
Equations . . . . . . . . . . . . . . . A2710--A2732
F. J. Pinski and
G. Simpson and
A. M. Stuart and
H. Weber Algorithms for Kullback--Leibler
Approximation of Probability Measures in
Infinite Dimensions . . . . . . . . . . A2733--A2757
Franco Dassi and
Simona Perotto and
Luca Formaggia A Priori Anisotropic Mesh Adaptation on
Implicitly Defined Surfaces . . . . . . A2758--A2782
Ioannis Dassios and
Kimon Fountoulakis and
Jacek Gondzio A Preconditioner for A Primal-Dual
Newton Conjugate Gradient Method for
Compressed Sensing Problems . . . . . . A2783--A2812
Abeer Aldoghaither and
Da-Yan Liu and
Taous-Meriem Laleg-Kirati Modulating Functions Based Algorithm for
the Estimation of the Coefficients and
Differentiation Order for a
Space-Fractional Advection-Dispersion
Equation . . . . . . . . . . . . . . . . A2813--A2839
David C. Del Rey Fernández and
David W. Zingg Generalized Summation-by-Parts Operators
for the Second Derivative . . . . . . . A2840--A2864
M. Ohlberger and
F. Schindler Error Control for the Localized Reduced
Basis Multiscale Method with Adaptive
On-Line Enrichment . . . . . . . . . . . A2865--A2895
Sébastien Loisel and
Hieu Nguyen and
Robert Scheichl Optimized Schwarz and $2$-Lagrange
Multiplier Methods for Multiscale
Elliptic PDEs . . . . . . . . . . . . . A2896--A2923
Jingyue Wang and
Weizhang Huang A Study on Anisotropic Mesh Adaptation
for Finite Element Approximation of
Eigenvalue Problems with Anisotropic
Diffusion Operators . . . . . . . . . . A2924--A2946
Viktoria Taroudaki and
Dianne P. O'Leary Near-Optimal Spectral Filtering and
Error Estimation for Solving Ill-Posed
Problems . . . . . . . . . . . . . . . . A2947--A2968
Daniel B. Szyld and
Eugene Vecharynski and
Fei Xue Preconditioned Eigensolvers for
Large-Scale Nonlinear Hermitian
Eigenproblems with Variational
Characterizations. II. Interior
Eigenvalues . . . . . . . . . . . . . . A2969--A2997
Mélanie Beck and
Martin J. Gander and
Felix Kwok $B$-Methods for the Numerical Solution
of Evolution Problems with Blow-Up
Solutions Part I: Variation of the
Constant . . . . . . . . . . . . . . . . A2998--A3029
H. Cho and
X. Yang and
D. Venturi and
G. E. Karniadakis Algorithms for Propagating Uncertainty
Across Heterogeneous Domains . . . . . . A3030--A3054
R. Bermejo and
L. Saavedra Modified Lagrange--Galerkin Methods to
Integrate Time Dependent Incompressible
Navier--Stokes Equations . . . . . . . . B779--B803
Tobin Isaac and
Georg Stadler and
Omar Ghattas Solution of Nonlinear Stokes Equations
Discretized By High-Order Finite
Elements on Nonconforming and
Anisotropic Meshes, with Application to
Ice Sheet Dynamics . . . . . . . . . . . B804--B833
Jukka Räbinä and
Sanna Mönkölä and
Tuomo Rossi Efficient Time Integration of Maxwell's
Equations with Generalized Finite
Differences . . . . . . . . . . . . . . B834--B854
Habib Ammari and
Yat Tin Chow and
Keji Liu and
Jun Zou Optimal Shape Design by Partial Spectral
Data . . . . . . . . . . . . . . . . . . B855--B883
Maria Adela Puscas and
Laurent Monasse A Three-Dimensional Conservative
Coupling Method Between an Inviscid
Compressible Flow and a Moving Rigid
Solid . . . . . . . . . . . . . . . . . B884--B909
Yongjin Zhang and
Lihong Feng and
Suzhou Li and
Peter Benner An Efficient Output Error Estimation for
Model Order Reduction of Parametrized
Evolution Equations . . . . . . . . . . B910--B936
C. R. Prins and
R. Beltman and
J. H. M. ten Thije Boonkkamp and
W. L. IJzerman and
T. W. Tukker A Least-Squares Method for Optimal
Transport Using the Monge--Amp\`ere
Equation . . . . . . . . . . . . . . . . B937--B961
Pedro M. Lima and
Evelyn Buckwar Numerical Solution of the Neural Field
Equation in the Two-Dimensional Case . . B962--B979
Hayden Schaeffer and
Yi Yang and
Hongkai Zhao and
Stanley Osher Real-Time Adaptive Video Compression . . B980--B1001
P. Gangl and
U. Langer and
A. Laurain and
H. Meftahi and
K. Sturm Shape Optimization of an Electric Motor
Subject to Nonlinear Magnetostatics . . B1002--B1025
Martin Tillenius SuperGlue: a Shared Memory Framework
Using Data Versioning for
Dependency-Aware Task-Based
Parallelization . . . . . . . . . . . . C617--C642
P. Mironowicz and
A. Dziekonski and
M. Mrozowski A Task-Scheduling Approach for Efficient
Sparse Symmetric Matrix-Vector
Multiplication on a GPU . . . . . . . . C643--C666
Axel Klawonn and
Martin Lanser and
Oliver Rheinbach Toward Extremely Scalable Nonlinear
Domain Decomposition Methods for
Elliptic Partial Differential Equations C667--C696
Melven Röhrig-Zöllner and
Jonas Thies and
Moritz Kreutzer and
Andreas Alvermann and
Andreas Pieper and
Achim Basermann and
Georg Hager and
Gerhard Wellein and
Holger Fehske Increasing the Performance of the
Jacobi--Davidson Method by Blocking . . C697--C722
Liqian Peng and
Kamran Mohseni Symplectic Model Reduction of
Hamiltonian Systems . . . . . . . . . . A1--A27
Jie Shen and
Yingwei Wang and
Jianlin Xia Fast Structured Direct Spectral Methods
for Differential Equations with Variable
Coefficients, I. The One-Dimensional
Case . . . . . . . . . . . . . . . . . . A28--A54
Lina Meinecke and
Stefan Engblom and
Andreas Hellander and
Per Lötstedt Analysis and Design of Jump Coefficients
in Discrete Stochastic Diffusion Models A55--A83
M. J. Vuik and
J. K. Ryan Automated Parameters for Troubled-Cell
Indicators Using Outlier Detection . . . A84--A104
Ruihan Guo and
Yan Xu Local Discontinuous Galerkin Method and
High Order Semi-Implicit Scheme for the
Phase Field Crystal Equation . . . . . . A105--A127
M. Kocvara and
D. Loghin and
J. Turner Constraint Interface Preconditioning for
Topology Optimization Problems . . . . . A128--A145
Bangti Jin and
Raytcho Lazarov and
Zhi Zhou Two Fully Discrete Schemes for
Fractional Diffusion and Diffusion-Wave
Equations with Nonsmooth Data . . . . . A146--A170
Olivier Bokanowski and
Maurizio Falcone and
Smita Sahu An Efficient Filtered Scheme for Some
First Order Time-Dependent
Hamilton--Jacobi Equations . . . . . . . A171--A195
S. Herrmann and
E. Tanré The First-passage Time of the Brownian
Motion to a Curved Boundary: an
Algorithmic Approach . . . . . . . . . . A196--A215
Roman Andreev Wavelet-In-Time Multigrid-In-Space
Preconditioning of Parabolic Evolution
Equations . . . . . . . . . . . . . . . A216--A242
Alen Alexanderian and
Noemi Petra and
Georg Stadler and
Omar Ghattas A Fast and Scalable Method for
$A$-Optimal Design of Experiments for
Infinite-dimensional Bayesian Nonlinear
Inverse Problems . . . . . . . . . . . . A243--A272
Yinnian He and
Yan Zhang and
Hui Xu and
Zhangxin Chen First-Order Decoupled Finite Element
Method of the three-Dimensional
Primitive Equations of the Ocean . . . . A273--A301
Kirk M. Soodhalter Block Krylov Subspace Recycling for
Shifted Systems with Unrelated
Right-Hand Sides . . . . . . . . . . . . A302--A324
J. Pestana and
R. Muddle and
M. Heil and
F. Tisseur and
M. Mihajlovi\'c Efficient Block Preconditioning for a $
C^1 $ Finite Element Discretization of
the Dirichlet Biharmonic Problem . . . . A325--A345
Christoph Ortner and
Lei Zhang Atomistic/Continuum Blending with Ghost
Force Correction . . . . . . . . . . . . A346--A375
H. T. Johansson and
C. Forssén Fast and Accurate Evaluation of Wigner
3$j$, 6$j$, and 9$j$ Symbols Using Prime
Factorization and Multiword Integer
Arithmetic . . . . . . . . . . . . . . . A376--A384
Yeonjong Shin and
Dongbin Xiu Nonadaptive Quasi-Optimal Points
Selection for Least Squares Linear
Regression . . . . . . . . . . . . . . . A385--A411
Laurent Gosse and
Nicolas Vauchelet Numerical High-Field Limits in
Two-Stream Kinetic Models and $1$D
Aggregation Equations . . . . . . . . . A412--A434
Andreas Karageorghis and
C. S. Chen and
Xiao-Yan Liu Kansa--RBF Algorithms for Elliptic
Problems in Axisymmetric Domains . . . . A435--A470
Peter Benner and
Patrick Kürschner and
Jens Saak Frequency-Limited Balanced Truncation
with Low-Rank Approximations . . . . . . A471--A499
Eugene Vecharynski and
Chao Yang and
Fei Xue Generalized Preconditioned Locally
Harmonic Residual Method for
Non-Hermitian Eigenproblems . . . . . . A500--A527
Lei Zhang and
Qiang Du and
Zhenzhen Zheng Optimization-based Shrinking Dimer
Method for Finding Transition States . . A528--A544
Bernardo Cockburn and
Jiguang Shen A Hybridizable Discontinuous Galerkin
Method for the $p$-Laplacian . . . . . . A545--A566
Miroslav Bacák and
Ronny Bergmann and
Gabriele Steidl and
Andreas Weinmann A Second Order Nonsmooth Variational
Model for Restoring Manifold-Valued
Images . . . . . . . . . . . . . . . . . A567--A597
Xuan Zhao and
Zhimin Zhang Superconvergence Points of Fractional
Spectral Interpolation . . . . . . . . . A598--A613
Martin Storath and
Andreas Weinmann and
Michael Unser Exact Algorithms for $ L^1$-TV
Regularization of Real-Valued or
Circle-Valued Signals . . . . . . . . . A614--A630
James H. Adler and
Thomas R. Benson and
Eric C. Cyr and
Scott P. MacLachlan and
Raymond S. Tuminaro Monolithic Multigrid Methods for
Two-Dimensional Resistive
Magnetohydrodynamics . . . . . . . . . . B1--B24
Francesca Arrigo and
Michele Benzi Updating and Downdating Techniques for
Optimizing Network Communicability . . . B25--B49
J. H. Adler and
D. B. Emerson and
S. P. MacLachlan and
T. A. Manteuffel Constrained Optimization for Liquid
Crystal Equilibria . . . . . . . . . . . B50--B76
J. M. J. Huttunen and
M. J. Turunen and
J. T. J. Honkanen and
J. Töyräs and
J. S. Jurvelin Estimation of Systematic and Spatially
Correlated Components of Random Signals
from Repeated Measurements: Application
to Contrast Enhanced Computer Tomography
Measurements . . . . . . . . . . . . . . B77--B99
Shuai Xue and
Hyunkyung Lim and
James Glimm and
Flavio H. Fenton and
Elizabeth M. Cherry Sharp Boundary Electrocardiac
Simulations . . . . . . . . . . . . . . B100--B117
Luis Ortiz-Gracia and
Cornelis W. Oosterlee A Highly Efficient Shannon Wavelet
Inverse Fourier Technique for Pricing
European Options . . . . . . . . . . . . B118--B143
Simon L. Cotter and
Radek Erban Error Analysis of Diffusion
Approximation Methods for Multiscale
Systems in Reaction Kinetics . . . . . . B144--B163
Yuantao Cai and
Marco Donatelli and
Davide Bianchi and
Ting-Zhu Huang Regularization Preconditioners for
Frame-Based Image Deblurring with
Reduced Boundary Artifacts . . . . . . . B164--B189
Nicolas Bock and
Matt Challacombe and
Laxmikant V. Kalé Solvers for $ \mathcal {O} (N) $
Electronic Structure in the Strong
Scaling Limit . . . . . . . . . . . . . C1--C21
Santiago Badia and
Alberto F. Martín and
Javier Principe Multilevel Balancing Domain
Decomposition at Extreme Scales . . . . C22--C52
Massimo Bernaschi and
Mauro Bisson and
Carlo Fantozzi and
Carlo Janna A Factored Sparse Approximate Inverse
Preconditioned Conjugate Gradient Solver
on Graphics Processing Units . . . . . . C53--C72
Zlatko Drmac and
Serkan Gugercin A New Selection Operator for the
Discrete Empirical Interpolation Method
--- Improved A Priori Error Bound and
Extensions . . . . . . . . . . . . . . . A631--A648
Matthias Bolten and
Karsten Kahl and
Sonja Sokolovi\'c Multigrid Methods for Tensor Structured
Markov Chains with Low Rank
Approximation . . . . . . . . . . . . . A649--A667
Prince Chidyagwai and
Scott Ladenheim and
Daniel B. Szyld Constraint Preconditioning for the
Coupled Stokes--Darcy System . . . . . . A668--A690
Wai-Sun Don and
Zhen Gao and
Peng Li and
Xiao Wen Hybrid Compact-WENO Finite Difference
Scheme with Conjugate Fourier Shock
Detection Algorithm for Hyperbolic
Conservation Laws . . . . . . . . . . . A691--A711
Benedict Leimkuhler and
Xiaocheng Shang Adaptive Thermostats for Noisy Gradient
Systems . . . . . . . . . . . . . . . . A712--A736
Nicolas Crouseilles and
Hél\`ene Hivert and
Mohammed Lemou Numerical Schemes for Kinetic Equations
in the Anomalous Diffusion Limit. Part
I: The Case of Heavy-Tailed Equilibrium A737--A764
Bor Plestenjak and
Michiel E. Hochstenbach Roots of Bivariate Polynomial Systems
via Determinantal Representations . . . A765--A788
Xianyi Zeng A General Approach to Enhance Slope
Limiters in MUSCL Schemes on Nonuniform
Rectilinear Grids . . . . . . . . . . . A789--A813
Fei Liu and
Lexing Ying Recursive Sweeping Preconditioner for
the Three-Dimensional Helmholtz Equation A814--A832
Chris J. Vogl A Curvature-Augmented, REA Approach to
the Level Set Method . . . . . . . . . . A833--A855
Peipei Lu and
Xuejun Xu A Robust Multilevel Method for the
Time-harmonic Maxwell Equation with High
Wave Number . . . . . . . . . . . . . . A856--A874
Johannes Kraus and
Raytcho Lazarov and
Maria Lymbery and
Svetozar Margenov and
Ludmil Zikatanov Preconditioning Heterogeneous $ \mathbb
{H}(\mathrm {div}) $ Problems by
Additive Schur Complement Approximation
and Applications . . . . . . . . . . . . A875--A898
Roel Matthysen and
Daan Huybrechs Fast Algorithms for the Computation of
Fourier Extensions of Arbitrary Length A899--A922
Jeremy E. Kozdon and
Lucas C. Wilcox Stable Coupling of Nonconforming,
High-Order Finite Difference Methods . . A923--A952
David Cohen and
Olivier Verdier MultiSymplectic Discretization of Wave
Map Equations . . . . . . . . . . . . . A953--A972
Xue Jiang and
Peijun Li and
Weiying Zheng Eddy Current Model for Nondestructive
Evaluation with Thin Cracks . . . . . . A973--A996
Hans De Sterck and
Alexander Howse Nonlinearly Preconditioned Optimization
on Grassmann Manifolds for Computing
Approximate Tucker Tensor Decompositions A997--A1018
Matthias Kirchhart and
Sven Gross and
Arnold Reusken Analysis of an XFEM Discretization for
Stokes Interface Problems . . . . . . . A1019--A1043
Olivier Zahm and
Anthony Nouy Interpolation of Inverse Operators for
Preconditioning Parameter-Dependent
Equations . . . . . . . . . . . . . . . A1044--A1074
Milana Gataric and
Clarice Poon A Practical Guide to the Recovery of
Wavelet Coefficients from Fourier
Measurements . . . . . . . . . . . . . . A1075--A1099
Amir Averbuch and
Gil Shabat and
Yoel Shkolnisky Direct Inversion of the
Three-Dimensional Pseudo-polar Fourier
Transform . . . . . . . . . . . . . . . A1100--A1120
Sara Pollock An Improved Method for Solving
Quasi-linear Convection Diffusion
Problems on a Coarse Mesh . . . . . . . A1121--A1145
Jesse Chan and
T. Warburton Orthogonal Bases for Vertex-Mapped
Pyramids . . . . . . . . . . . . . . . . A1146--A1170
Kenneth Duru The Role of Numerical Boundary
Procedures in the Stability of Perfectly
Matched Layers . . . . . . . . . . . . . A1171--A1194
Roland Glowinski and
Shingyu Leung and
Jianliang Qian Operator-Splitting Based Fast Sweeping
Methods for Isotropic Wave Propagation
in a Moving Fluid . . . . . . . . . . . A1195--A1223
Leevan Ling A Fast Block-Greedy Algorithm for
Quasi-optimal Meshless Trial Subspace
Selection . . . . . . . . . . . . . . . A1224--A1250
Tsung-Ming Huang and
Wen-Wei Lin and
Volker Mehrmann A Newton-Type Method with Nonequivalence
Deflation for Nonlinear Eigenvalue
Problems Arising in Photonic Crystal
Modeling . . . . . . . . . . . . . . . . B191--B218
Olivier Bodart and
Valérie Cayol and
Sébastien Court and
Jonas Koko XFEM-Based Fictitious Domain Method for
Linear Elasticity Model with Crack . . . B219--B246
N. C. Nguyen and
H. Men and
R. M. Freund and
J. Peraire Functional Regression for State
Prediction Using Linear PDE Models and
Observations . . . . . . . . . . . . . . B247--B271
M. A. Hansen and
J. C. Sutherland Pseudotransient Continuation for
Combustion Simulation with Detailed
Reaction Mechanisms . . . . . . . . . . B272--B296
David Amsallem and
Jan Nordström Energy Stable Model Reduction of Neurons
by Nonnegative Discrete Empirical
Interpolation . . . . . . . . . . . . . B297--B326
K. Ito and
A. K. Landi The Nonnegative Matrix Factorization:
Regularization and Complexity . . . . . B327--B346
Fande Kong and
Xiao-Chuan Cai A Highly Scalable Multilevel Schwarz
Method with Boundary Geometry Preserving
Coarse Spaces for $3$D Elasticity
Problems on Domains with Complex
Geometry . . . . . . . . . . . . . . . . C73--C95
Florian Schornbaum and
Ulrich Rüde Massively Parallel Algorithms for the
Lattice Boltzmann Method on NonUniform
Grids . . . . . . . . . . . . . . . . . C96--C126
Kody J. H. Law and
Hamidou Tembine and
Raul Tempone Deterministic Mean-Field Ensemble Kalman
Filtering . . . . . . . . . . . . . . . A1251--A1279
Mounir Bennoune and
Jérôme Morin-Drouin and
Robert G. Owens On the Jump Conditions for an Immersed
Interface Method . . . . . . . . . . . . A1280--A1316
A. Gregory and
C. J. Cotter and
S. Reich Multilevel Ensemble Transform Particle
Filtering . . . . . . . . . . . . . . . A1317--A1338
Huadong Gao and
Weiwei Sun A New Mixed Formulation and Efficient
Numerical Solution of Ginzburg--Landau
Equations Under the Temporal Gauge . . . A1339--A1357
James Vogel and
Jianlin Xia and
Stephen Cauley and
Venkataramanan Balakrishnan Superfast Divide-and-Conquer Method and
Perturbation Analysis for Structured
Eigenvalue Solutions . . . . . . . . . . A1358--A1382
Yidu Yang and
Hai Bi and
Hao Li and
Jiayu Han Mixed Methods for the Helmholtz
Transmission Eigenvalues . . . . . . . . A1383--A1403
Sanghyun Lee and
Young-Ju Lee and
Mary F. Wheeler A Locally Conservative Enriched Galerkin
Approximation and Efficient Solver for
Elliptic and Parabolic Problems . . . . A1404--A1429
Hong Zhang and
Adrian Sandu and
Sébastien Blaise High Order Implicit-explicit General
Linear Methods with Optimized Stability
Regions . . . . . . . . . . . . . . . . A1430--A1453
D. C. Sorensen and
Mark Embree A DEIM Induced CUR Factorization . . . . A1454--A1482
Orazio Muscato and
Wolfgang Wagner A Class of Stochastic Algorithms for the
Wigner Equation . . . . . . . . . . . . A1483--A1507
Daniele Boffi and
Michele Botti and
Daniele A. Di Pietro A Nonconforming High-Order Method for
the Biot Problem on General Meshes . . . A1508--A1537
Natalie N. Beams and
Luke N. Olson and
Jonathan B. Freund A Finite Element Based P$^3$M Method for
$N$-Body Problems . . . . . . . . . . . A1538--A1560
Jan Nordström and
Tomas Lundquist Summation-By-Parts in Time: The Second
Derivative . . . . . . . . . . . . . . . A1561--A1586
Dante Kalise and
Axel Kröner and
Karl Kunisch Local Minimization Algorithms for
Dynamic Programming Equations . . . . . A1587--A1615
Michael P. Friedlander and
Ives Macêdo Low-Rank Spectral Optimization via Gauge
Duality . . . . . . . . . . . . . . . . A1616--A1638
Marco Caliari and
Peter Kandolf and
Alexander Ostermann and
Stefan Rainer The Leja Method Revisited: Backward
Error Analysis for the Matrix
Exponential . . . . . . . . . . . . . . A1639--A1661
Nicola Guglielmi On the Method by Rostami for Computing
the Real Stability Radius of Large and
Sparse Matrices . . . . . . . . . . . . A1662--A1681
Mark Ainsworth and
Manuel A. Sánchez Computing the Bézier Control Points of
the Lagrangian Interpolant in Arbitrary
Dimension . . . . . . . . . . . . . . . A1682--A1700
Jizu Huang and
Chao Yang and
Xiao-Chuan Cai A Nonlinearly Preconditioned Inexact
Newton Algorithm for Steady State
Lattice Boltzmann Equations . . . . . . A1701--A1724
Sheng-Gwo Chen and
Jyh-Yang Wu Discrete Conservation Laws on Evolving
Surfaces . . . . . . . . . . . . . . . . A1725--A1742
A. Rademacher NCP Function-Based Dual Weighted
Residual Error Estimators for
Signorini's Problem . . . . . . . . . . A1743--A1769
Sivaram Ambikasaran and
Carlos Borges and
Lise-Marie Imbert-Gerard and
Leslie Greengard Fast, Adaptive, High-Order Accurate
Discretization of the
Lippmann--Schwinger Equation in Two
Dimensions . . . . . . . . . . . . . . . A1770--A1787
M. Ableidinger and
E. Buckwar Splitting Integrators for the Stochastic
Landau--Lifshitz Equation . . . . . . . A1788--A1806
Jirí Kopal and
Miroslav Rozlozník and
Miroslav Tuma Factorized Approximate Inverses with
Adaptive Dropping . . . . . . . . . . . A1807--A1820
A. Crestetto and
F. Deluzet and
C. Negulescu A Hybrid Method for Anisotropic Elliptic
Problems Based on the Coupling of an
Asymptotic-Preserving Method with the
Asymptotic Limit Model . . . . . . . . . A1821--A1847
Debojyoti Ghosh and
Emil M. Constantinescu Semi-implicit Time Integration of
Atmospheric Flows with
Characteristic-Based Flux Partitioning A1848--A1875
Yu-Wen Li and
Xinyuan Wu Exponential Integrators Preserving First
Integrals or Lyapunov Functions for
Conservative or Dissipative Systems . . A1876--A1895
Nicole Spillane An Adaptive MultiPreconditioned
Conjugate Gradient Algorithm . . . . . . A1896--A1918
M. J. Del Razo and
Y. Morofuji and
J. S. Meabon and
B. R. Huber and
E. R. Peskind and
W. A. Banks and
P. D. Mourad and
R. J. LeVeque and
D. G. Cook Computational and In Vitro Studies of
Blast-Induced Blood-Brain Barrier
Disruption . . . . . . . . . . . . . . . B347--B374
Zecheng Gan and
Shidong Jiang and
Erik Luijten and
Zhenli Xu A Hybrid Method for Systems of Closely
Spaced Dielectric Spheres and Ions . . . B375--B395
Marylesa Howard and
Michael Fowler and
Aaron Luttman and
Stephen E. Mitchell and
Margaret C. Hock Bayesian Abel Inversion in Quantitative
X-Ray Radiography . . . . . . . . . . . B396--B413
Xiaowei Zhang and
Li Cheng and
Delin Chu and
Li-Zhi Liao and
Michael K. Ng and
Roger C. E. Tan Incremental Regularized Least Squares
for Dimensionality Reduction of
Large-Scale Data . . . . . . . . . . . . B414--B439
Antti H. Niemi Benchmark Computations of Stresses in a
Spherical Dome with Shell Finite
Elements . . . . . . . . . . . . . . . . B440--B457
Kailiang Wu and
Huazhong Tang A Direct Eulerian GRP Scheme for
Spherically Symmetric General
Relativistic Hydrodynamics . . . . . . . B458--B489
Megan E. Farquhar and
Timothy J. Moroney and
Qianqian Yang and
Ian W. Turner GPU Accelerated Algorithms for Computing
Matrix Function Vector Products with
Applications to Exponential Integrators
and Fractional Diffusion . . . . . . . . C127--C149
J. Lee and
A. Cookson and
I. Roy and
E. Kerfoot and
L. Asner and
G. Vigueras and
T. Sochi and
S. Deparis and
C. Michler and
N. P. Smith and
D. A. Nordsletten Multiphysics Computational Modeling in $
\mathbf {\mathcal {C}} \mathbf {Heart} $ C150--C178
Brian Drawert and
Michael Trogdon and
Salman Toor and
Linda Petzold and
Andreas Hellander MOLNs: a Cloud Platform for Interactive,
Reproducible, and Scalable Spatial
Stochastic Computational Experiments in
Systems Biology Using PyURDME . . . . . C179--C202
Grey Ballard and
Christopher Siefert and
Jonathan Hu Reducing Communication Costs for Sparse
Matrix Multiplication within Algebraic
Multigrid . . . . . . . . . . . . . . . C203--C231
Guillaume Aupy and
Julien Herrmann and
Paul Hovland and
Yves Robert Optimal Multistage Algorithm for Adjoint
Computation . . . . . . . . . . . . . . C232--C255
Emmanuel Agullo and
Patrick R. Amestoy and
Alfredo Buttari and
Abdou Guermouche and
Jean-Yves L'Excellent and
François-Henry Rouet Robust Memory-Aware Mappings for
Parallel Multifrontal Factorizations . . C256--C279
Amir Gholami and
Dhairya Malhotra and
Hari Sundar and
George Biros FFT, FMM, or Multigrid? A comparative
Study of State-Of-the-Art Poisson
Solvers for Uniform and Nonuniform Grids
in the Unit Cube . . . . . . . . . . . . C280--C306
Rolf Krause and
Patrick Zulian A Parallel Approach to the Variational
Transfer of Discrete Fields between
Arbitrarily Distributed Unstructured
Finite Element Meshes . . . . . . . . . C307--C333
Hailiang Liu and
Yulong Xing An Invariant Preserving Discontinuous
Galerkin Method for the Camassa--Holm
Equation . . . . . . . . . . . . . . . . A1919--A1934
Jason E. Hicken and
David C. Del Rey Fernández and
David W. Zingg Multidimensional Summation-by-Parts
Operators: General Theory and
Application to Simplex Elements . . . . A1935--A1958
Per-Gunnar Martinsson Compressing Rank-Structured Matrices via
Randomized Sampling . . . . . . . . . . A1959--A1986
Youngsoo Ha and
Chang Ho Kim and
Hyoseon Yang and
Jungho Yoon Sixth-order Weighted Essentially
Nonoscillatory Schemes Based on
Exponential Polynomials . . . . . . . . A1987--A2017
Daniel Kressner and
Michael Steinlechner and
Bart Vandereycken Preconditioned Low-rank Riemannian
Optimization for Linear Systems with
Tensor Product Structure . . . . . . . . A2018--A2044
Jonas Ballani and
Daniel Kressner Reduced Basis Methods: From Low-Rank
Matrices to Low-Rank Tensors . . . . . . A2045--A2067
Moritz Schulze Darup and
Martin Mönnigmann Improved Automatic Computation of
Hessian Matrix Spectral Bounds . . . . . A2068--A2090
Alvaro Moraes and
Raul Tempone and
Pedro Vilanova A Multilevel Adaptive Reaction-splitting
Simulation Method for Stochastic
Reaction Networks . . . . . . . . . . . A2091--A2117
Alex Bespalov and
David Silvester Efficient Adaptive Stochastic Galerkin
Methods for Parametric Operator
Equations . . . . . . . . . . . . . . . A2118--A2140
Julián Becerra-Sagredo and
Carlos Málaga and
Francisco Mandujano Moments Preserving and high-resolution
Semi-Lagrangian Advection Scheme . . . . A2141--A2161
Jesse Chan and
T. Warburton A Short Note on a Bernstein--Bezier
Basis for the Pyramid . . . . . . . . . A2162--A2172
Martin J. Gander and
Martin Neumüller Analysis of a New Space-Time Parallel
Multigrid Algorithm for Parabolic
Problems . . . . . . . . . . . . . . . . A2173--A2208
Andrea Barth and
Franz G. Fuchs Uncertainty Quantification for
Hyperbolic Conservation Laws with Flux
Coefficients Given by Spatiotemporal
Random Fields . . . . . . . . . . . . . A2209--A2231
Qiya Hu and
Haiyang Zhang Substructuring Preconditioners for the
Systems Arising from Plane Wave
Discretization of Helmholtz Equations A2232--A2261
Cécile Piret A Radial Basis Function based Frames
Strategy for Bypassing the Runge
Phenomenon . . . . . . . . . . . . . . . A2262--A2282
Charles-Edouard Bréhier and
Gilles Vilmart High Order Integrator for Sampling the
Invariant Distribution of a Class of
Parabolic Stochastic PDEs with Additive
Space-Time Noise . . . . . . . . . . . . A2283--A2306
Alexandra Tcheng and
Jean-Christophe Nave A Fast-marching Algorithm for
Nonmonotonically Evolving Fronts . . . . A2307--A2333
Sergiy Zhuk and
Tigran T. Tchrakian and
Stephen Moore and
Rodrigo Ordóñez-Hurtado and
Robert Shorten On Source-Term Parameter Estimation for
Linear Advection-Diffusion Equations
with Uncertain Coefficients . . . . . . A2334--A2356
Jie Shen and
Yingwei Wang Müntz--Galerkin Methods and Applications
to Mixed Dirichlet--Neumann Boundary
Value Problems . . . . . . . . . . . . . A2357--A2381
Christopher A. Wong Bilinear Quadratures for Inner Products A2382--A2404
Daniele Bigoni and
Allan P. Engsig-Karup and
Youssef M. Marzouk Spectral Tensor-Train Decomposition . . A2405--A2439
Ricardo Delgadillo and
Jianfeng Lu and
Xu Yang Gauge-Invariant Frozen Gaussian
Approximation Method for the Schrödinger
Equation with Periodic Potentials . . . A2440--A2463
Nicolas Crouseilles and
Hél\`ene Hivert and
Mohammed Lemou Numerical Schemes for Kinetic Equations
in the Anomalous Diffusion Limit. Part
II: Degenerate Collision Frequency . . . A2464--A2491
Yeonjong Shin and
Dongbin Xiu Correcting Data Corruption Errors for
Multivariate Function Approximation . . A2492--A2511
Ruipeng Li and
Yuanzhe Xi and
Eugene Vecharynski and
Chao Yang and
Yousef Saad A Thick-Restart Lanczos Algorithm with
Polynomial Filtering for Hermitian
Eigenvalue Problems . . . . . . . . . . A2512--A2534
Daniel Ruprecht and
Robert Speck Spectral Deferred Corrections with
Fast-wave Slow-wave Splitting . . . . . A2535--A2557
S. Bonettini and
F. Porta and
V. Ruggiero A Variable Metric Forward-Backward
Method with Extrapolation . . . . . . . A2558--A2584
Simon Etter Parallel ALS Algorithm for Solving
Linear Systems in the Hierarchical
Tucker Representation . . . . . . . . . A2585--A2609
Yunfeng Xiong and
Zhenzhu Chen and
Sihong Shao An Advective-Spectral-Mixed Method for
Time-Dependent Many-Body Wigner
Simulations . . . . . . . . . . . . . . B491--B520
Paris Perdikaris and
Daniele Venturi and
George Em Karniadakis Multifidelity Information Fusion
Algorithms for High-Dimensional Systems
and Massive Data sets . . . . . . . . . B521--B538
Lingfei Li and
Gongqiu Zhang Option Pricing in Some Non-Lévy Jump
Models . . . . . . . . . . . . . . . . . B539--B569
Weiqiang Chen and
Hui Ji and
Yanfei You An Augmented Lagrangian Method for $
\ell_1$-Regularized Optimization
Problems with Orthogonality Constraints B570--B592
Haijian Yang and
Chao Yang and
Shuyu Sun Active-Set Reduced-Space Methods with
Nonlinear Elimination for Two-Phase Flow
Problems in Porous Media . . . . . . . . B593--B618
Arta A. Jamshidi and
Warren B. Powell A Recursive Local Polynomial
Approximation Method Using Dirichlet
Clouds and Radial Basis Functions . . . B619--B644
J. E. Bunder and
A. J. Roberts and
I. G. Kevrekidis Accuracy of Patch Dynamics with
Mesoscale Temporal Coupling for
Efficient Massively Parallel Simulations C335--C371
Christoph Riesinger and
Tobias Neckel and
Florian Rupp Solving Random Ordinary Differential
Equations on GPU Clusters using Multiple
Levels of Parallelism . . . . . . . . . C372--C402
Alex Townsend and
Heather Wilber and
Grady B. Wright Computing with Functions in Spherical
and Polar Geometries I. The Sphere . . . C403--C425
Mark F. Adams and
Jed Brown and
Matt Knepley and
Ravi Samtaney Segmental Refinement: a Multigrid
Technique for Data Locality . . . . . . C426--C440
Stéphane Descombes and
Stéphane Lanteri and
Ludovic Moya Locally Implicit Discontinuous Galerkin
Time Domain Method for Electromagnetic
Wave Propagation in Dispersive Media
Applied to Numerical Dosimetry in
Biological Tissues . . . . . . . . . . . A2611--A2633
Matthew J. Reynolds and
Alireza Doostan and
Gregory Beylkin Randomized Alternating Least Squares for
Canonical Tensor Decompositions:
Application to a PDE With Random Data A2634--A2664
Charles L. Epstein and
Michael O'Neil Smoothed Corners and Scattered Waves . . A2665--A2698
Chunwan Lv and
Chuanju Xu Error Analysis of a High Order Method
for Time-Fractional Diffusion Equations A2699--A2724
Thomas Dunst and
Andreas Prohl The Forward-Backward Stochastic Heat
Equation: Numerical Analysis and
Simulation . . . . . . . . . . . . . . . A2725--A2755
Haijian Yang and
Feng-Nan Hwang and
Xiao-Chuan Cai Nonlinear Preconditioning Techniques for
Full-Space Lagrange--Newton Solution of
PDE-Constrained Optimization Problems A2756--A2778
Paul G. Constantine and
Carson Kent and
Tan Bui-Thanh Accelerating Markov Chain Monte Carlo
with Active Subspaces . . . . . . . . . A2779--A2805
Jianyu Pan and
Michael K. Ng and
Hong Wang Fast Iterative Solvers for Linear
Systems Arising from Time-Dependent
Space-Fractional Diffusion Equations . . A2806--A2826
R. Zimmermann and
K. Willcox An Accelerated Greedy Missing Point
Estimation Procedure . . . . . . . . . . A2827--A2850
Zhimin Peng and
Yangyang Xu and
Ming Yan and
Wotao Yin ARock: an Algorithmic Framework for
Asynchronous Parallel Coordinate Updates A2851--A2879
Axel Klawonn and
Martin Kühn and
Oliver Rheinbach Adaptive Coarse Spaces for FETI--DP in
Three Dimensions . . . . . . . . . . . . A2880--A2911
D. Z. Kalchev and
C. S. Lee and
U. Villa and
Y. Efendiev and
P. S. Vassilevski Upscaling of Mixed Finite Element
Discretization Problems by the Spectral
AMGe Method . . . . . . . . . . . . . . A2912--A2933
Kirsty L. Brown and
Igor Gejadze and
Alison Ramage A Multilevel Approach for Computing the
Limited-Memory Hessian and its Inverse
in Variational Data Assimilation . . . . A2934--A2963
Martin J. Gander and
Yingxiang Xu Optimized Schwarz Methods for Model
Problems with Continuously Variable
Coefficients . . . . . . . . . . . . . . A2964--A2986
Daming Yuan and
Juan Cheng and
Chi-Wang Shu High Order Positivity-Preserving
Discontinuous Galerkin Methods for
Radiative Transfer Equations . . . . . . A2987--A3019
Yuanzhe Xi and
Yousef Saad Computing Partial Spectra with
Least-Squares Rational Filters . . . . . A3020--A3045
Jiequan Li and
Zhifang Du A Two-Stage Fourth Order Time-Accurate
Discretization for Lax--Wendroff Type
Flow Solvers I. Hyperbolic Conservation
Laws . . . . . . . . . . . . . . . . . . A3046--A3069
Wanrong Cao and
Fanhai Zeng and
Zhongqiang Zhang and
George Em Karniadakis Implicit-Explicit Difference Schemes for
Nonlinear Fractional Differential
Equations with Nonsmooth Solutions . . . A3070--A3093
Jie Du and
Chi-Wang Shu A High Order Stable Conservative Method
for Solving Hyperbolic Conservation Laws
on Arbitrarily Distributed Point Clouds A3094--A3128
Matteo Parsani and
Mark H. Carpenter and
Travis C. Fisher and
Eric J. Nielsen Entropy Stable Staggered Grid
Discontinuous Spectral Collocation
Methods of any Order for the
Compressible Navier--Stokes Equations A3129--A3162
Benjamin Peherstorfer and
Karen Willcox and
Max Gunzburger Optimal Model Management for
Multifidelity Monte Carlo Estimation . . A3163--A3194
Martin J. Gander and
Hui Zhang Optimized Schwarz Methods with Overlap
for the Helmholtz Equation . . . . . . . A3195--A3219
Vít Dolejsí and
Alexandre Ern and
Martin Vohralík $ h p$-Adaptation Driven by
Polynomial-Degree-Robust \em A
Posteriori Error Estimates for Elliptic
Problems . . . . . . . . . . . . . . . . A3220--A3246
Kui Du On Well-Conditioned Spectral Collocation
and Spectral Methods by the Integral
Reformulation . . . . . . . . . . . . . A3247--A3263
Jia Zhao and
Xiaofeng Yang and
Jun Li and
Qi Wang Energy Stable Numerical Schemes for a
Hydrodynamic Model of Nematic Liquid
Crystals . . . . . . . . . . . . . . . . A3264--A3290
Cun Mu and
Yuqian Zhang and
John Wright and
Donald Goldfarb Scalable Robust Matrix Recovery:
Frank--Wolfe Meets Proximal Methods . . A3291--A3317
Kathrin Smetana and
Anthony T. Patera Optimal Local Approximation Spaces for
Component-Based Static Condensation
Procedures . . . . . . . . . . . . . . . A3318--A3356
Yat Tin Chow and
Kazufumi Ito and
Jun Zou Analysis on a Nonnegative Matrix
Factorization and Its Applications . . . B645--B684
Michal Kocvara and
Sudaba Mohammed Primal-Dual Interior Point Multigrid
Method for Topology Optimization . . . . B685--B709
Jiangyong Hou and
Meilan Qiu and
Xiaoming He and
Chaohua Guo and
Mingzhen Wei and
Baojun Bai A Dual-Porosity-Stokes Model and Finite
Element Method for Coupling
Dual-Porosity Flow and Free Flow . . . . B710--B739
Gary R. Marple and
Alex Barnett and
Adrianna Gillman and
Shravan Veerapaneni A Fast Algorithm for Simulating
Multiphase Flows Through Periodic
Geometries of Arbitrary Shape . . . . . B740--B772
R. Touma and
U. Koley and
C. Klingenberg Well-Balanced Unstaggered Central
Schemes for the Euler Equations with
Gravitation . . . . . . . . . . . . . . B773--B807
Grady I. Lemoine Three-Dimensional Mapped-Grid Finite
Volume Modeling of Poroelastic-Fluid
Wave Propagation . . . . . . . . . . . . B808--B836
S. Chaturantabut and
C. Beattie and
S. Gugercin Structure-Preserving Model Reduction for
Nonlinear Port-Hamiltonian Systems . . . B837--B865
Leonardo Zepeda-Núñez and
Hongkai Zhao Fast Alternating BiDirectional
Preconditioner for the $2$D
High-Frequency Lippmann--Schwinger
Equation . . . . . . . . . . . . . . . . B866--B888
A. C. Antoulas and
I. V. Gosea and
A. C. Ionita Model Reduction of Bilinear Systems in
the Loewner Framework . . . . . . . . . B889--B916
P. Sanan and
S. M. Schnepp and
D. A. May Pipelined, Flexible Krylov Subspace
Methods . . . . . . . . . . . . . . . . C441--C470
Carsten Burstedde and
Johannes Holke A Tetrahedral Space-Filling Curve for
Nonconforming Adaptive Meshes . . . . . C471--C503
R. Tuminaro and
M. Perego and
I. Tezaur and
A. Salinger and
S. Price A Matrix Dependent/Algebraic Multigrid
Approach for Extruded Meshes with
Applications to Ice Sheet Modeling . . . C504--C532
Stephan C. Kramer and
Johannes Hagemann and
Lutz Künneke and
Jan Lebert Parallel Statistical Multiresolution
Estimation for Image Reconstruction . . C533--C559
E. Agullo and
L. Giraud and
P. Salas and
M. Zounon Interpolation--Restart Strategies for
Resilient Eigensolvers . . . . . . . . . C560--C583
Nicholas J. Higham and
Samuel D. Relton Estimating the Largest Elements of a
Matrix . . . . . . . . . . . . . . . . . C584--C601
Hans De Sterck and
Chris Johnson and
Lois Curfman McInnes Special Section on Two Themes: CSE
Software and Big Data in CSE . . . . . . S1--S2
Thomas Engels and
Dmitry Kolomenskiy and
Kai Schneider and
Jörn Sesterhenn FluSI: a Novel Parallel Simulation Tool
for Flapping Insect Flight Using a
Fourier Method with Volume Penalization S3--S24
A. T. T. McRae and
G.-T. Bercea and
L. Mitchell and
D. A. Ham and
C. J. Cotter Automated Generation and Symbolic
Manipulation of Tensor Product Finite
Elements . . . . . . . . . . . . . . . . S25--S47
M. Homolya and
D. A. Ham A Parallel Edge Orientation Algorithm
for Quadrilateral Meshes . . . . . . . . S48--S61
Y. Wang and
J. K. Sigurdsson and
P. J. Atzberger Fluctuating Hydrodynamics Methods for
Dynamic Coarse-Grained Implicit-Solvent
Simulations in LAMMPS . . . . . . . . . S62--S77
Paul T. Bauman and
Roy H. Stogner GRINS: a Multiphysics Framework Based on
the libMesh Finite Element Library . . . S78--S100
Martin Berzins and
Jacqueline Beckvermit and
Todd Harman and
Andrew Bezdjian and
Alan Humphrey and
Qingyu Meng and
John Schmidt and
Charles Wight Extending the Uintah Framework through
the Petascale Modeling of Detonation in
Arrays of High Explosive Devices . . . . S101--S122
Robert J. Harrison and
Gregory Beylkin and
Florian A. Bischoff and
Justus A. Calvin and
George I. Fann and
Jacob Fosso-Tande and
Diego Galindo and
Jeff R. Hammond and
Rebecca Hartman-Baker and
Judith C. Hill and
Jun Jia and
Jakob S. Kottmann and
M-J. Yvonne Ou and
Junchen Pei and
Laura E. Ratcliff and
Matthew G. Reuter and
Adam C. Richie-Halford and
Nichols A. Romero and
Hideo Sekino and
William A. Shelton and
Bryan E. Sundahl and
W. Scott Thornton and
Edward F. Valeev and
Álvaro Vázquez-Mayagoitia and
Nicholas Vence and
Takeshi Yanai and
Yukina Yokoi MADNESS: a Multiresolution, Adaptive
Numerical Environment for Scientific
Simulation . . . . . . . . . . . . . . . S123--S142
Michael Lange and
Lawrence Mitchell and
Matthew G. Knepley and
Gerard J. Gorman Efficient Mesh Management in Firedrake
Using PETSc DMPlex . . . . . . . . . . . S143--S155
Weiqun Zhang and
Ann Almgren and
Marcus Day and
Tan Nguyen and
John Shalf and
Didem Unat BoxLib with Tiling: an Adaptive Mesh
Refinement Software Framework . . . . . S156--S172
Ralf Deiterding and
Margarete O. Domingues and
Sônia M. Gomes and
Kai Schneider Comparison of Adaptive Multiresolution
and Adaptive Mesh Refinement Applied to
Simulations of the Compressible Euler
Equations . . . . . . . . . . . . . . . S173--S193
René Milk and
Stephan Rave and
Felix Schindler pyMOR --- Generic Algorithms and
Interfaces for Model Order Reduction . . S194--S216
Markus Huber and
Björn Gmeiner and
Ulrich Rüde and
Barbara Wohlmuth Resilience for Massively Parallel
Multigrid Solvers . . . . . . . . . . . S217--S239
Janine C. Bennett and
Ankit Bhagatwala and
Jacqueline H. Chen and
Ali Pinar and
Maher Salloum and
C. Seshadhri Trigger Detection for Adaptive
Scientific Workflows Using Percentile
Sampling . . . . . . . . . . . . . . . . S240--S263
Nathan Yonkee and
James C. Sutherland PoKiTT: Exposing Task and Data
Parallelism on Heterogeneous
Architectures for Detailed Chemical
Kinetics, Transport, and Thermodynamics
Calculations . . . . . . . . . . . . . . S264--S281
Stefano Zampini PCBDDC: a Class of Robust Dual-Primal
Methods in PETSc . . . . . . . . . . . . S282--S306
Eric C. Cyr and
John N. Shadid and
Raymond S. Tuminaro Teko: a Block Preconditioning Capability
with Concrete Example Applications in
Navier--Stokes and MHD . . . . . . . . . S307--S331
Amanda Bienz and
Robert D. Falgout and
William Gropp and
Luke N. Olson and
Jacob B. Schroder Reducing Parallel Communication in
Algebraic Multigrid through
Sparsification . . . . . . . . . . . . . S332--S357
Pieter Ghysels and
Xiaoye S. Li and
François-Henry Rouet and
Samuel Williams and
Artem Napov An Efficient Multicore Implementation of
a Novel HSS-Structured Multifrontal
Solver Using Randomized Sampling . . . . S358--S384
Carmen Campos and
Jose E. Roman Parallel Krylov Solvers for the
Polynomial Eigenvalue Problem in SLEPc S385--S411
Karl Rupp and
Philippe Tillet and
Florian Rudolf and
Josef Weinbub and
Andreas Morhammer and
Tibor Grasser and
Ansgar Jüngel and
Siegfried Selberherr ViennaCL --- Linear Algebra Library for
Multi- and Many-Core Architectures . . . S412--S439
Léopold Cambier and
P.-A. Absil Robust Low-Rank Matrix Completion by
Riemannian Optimization . . . . . . . . S440--S460
Michael Steinlechner Riemannian Optimization for
High-Dimensional Tensor Completion . . . S461--S484
Per-Gunnar Martinsson and
Sergey Voronin A Randomized Blocked Algorithm for
Efficiently Computing Rank-revealing
Factorizations of Matrices . . . . . . . S485--S507
Xiao Liu and
Jianlin Xia and
Maarten V. de Hoop Parallel Randomized and Matrix-Free
Direct Solvers for Large Structured
Dense Linear Systems . . . . . . . . . . S508--S538
Yuxin Chen and
David Keyes and
Kody J. H. Law and
Hatem Ltaief Accelerated Dimension-Independent
Adaptive Metropolis . . . . . . . . . . S539--S565
Eran Treister and
Javier S. Turek and
Irad Yavneh A Multilevel Framework for Sparse
Optimization with Application to Inverse
Covariance Estimation and Logistic
Regression . . . . . . . . . . . . . . . S566--S592
Arif Khan and
Alex Pothen and
Md. Mostofa Ali Patwary and
Nadathur Rajagopalan Satish and
Narayanan Sundaram and
Fredrik Manne and
Mahantesh Halappanavar and
Pradeep Dubey Efficient Approximation Algorithms for
Weighted $b$-Matching . . . . . . . . . S593--S619
George M. Slota and
Kamesh Madduri and
Sivasankaran Rajamanickam Complex Network Partitioning Using Label
Propagation . . . . . . . . . . . . . . S620--S645
Tom Peterka and
Hadrien Croubois and
Nan Li and
Esteban Rangel and
Franck Cappello Self-Adaptive Density Estimation of
Particle Data . . . . . . . . . . . . . S646--S666
Bo Xiao and
George Biros Parallel Algorithms for Nearest Neighbor
Search Problems in High Dimensions . . . S667--S699
Woohyuk Choi and
Sumin Hong and
Won-Ki Jeong Vispark: GPU-Accelerated Distributed
Visual Computing Using Spark . . . . . . S700--S719
William B. March and
Bo Xiao and
Chenhan D. Yu and
George Biros ASKIT: an Efficient, Parallel Library
for High-Dimensional Kernel Summations S720--S749
Elizabeth Jessup and
Pate Motter and
Boyana Norris and
Kanika Sood Performance-Based Numerical Solver
Selection in the Lighthouse Framework S750--S771
James Kestyn and
Eric Polizzi and
Ping Tak Peter Tang Feast Eigensolver for Non-Hermitian
Problems . . . . . . . . . . . . . . . . S772--S799
V. Dolean and
M. J. Gander and
W. Kheriji and
F. Kwok and
R. Masson Nonlinear Preconditioning: How to Use a
Nonlinear Schwarz Method to Precondition
Newton's Method . . . . . . . . . . . . A3357--A3380
Wei Guo and
Yingda Cheng A Sparse Grid Discontinuous Galerkin
Method for High-Dimensional Transport
Equations and Its Application to Kinetic
Simulations . . . . . . . . . . . . . . A3381--A3409
Linzhang Lu and
Teng Wang and
Yueh-Cheng Kuo and
Ren-Cang Li and
Wen-Wei Lin A Fast Algorithm For Fast Train
Palindromic Quadratic Eigenvalue
Problems . . . . . . . . . . . . . . . . A3410--A3429
Christoph Hofer and
Ulrich Langer and
Ioannis Toulopoulos Discontinuous Galerkin Isogeometric
Analysis of Elliptic Diffusion Problems
on Segmentations with Gaps . . . . . . . A3430--A3460
Ole Lòseth Elvetun and
Bjòrn Fredrik Nielsen PDE-Constrained Optimization with Local
Control and Boundary Observations:
Robust Preconditioners . . . . . . . . . A3461--A3491
Sven Gross and
Thomas Ludescher and
Maxim Olshanskii and
Arnold Reusken Robust Preconditioning for XFEM Applied
to Time-Dependent Stokes Problems . . . A3492--A3514
Jie Chen How Accurately Should I Compute Implicit
Matrix--Vector Products When Applying
the Hutchinson Trace Estimator? . . . . A3515--A3539
Gil Ariel and
Seong Jun Kim and
Richard Tsai Parareal Multiscale Methods for Highly
Oscillatory Dynamical Systems . . . . . A3540--A3564
G. Yu. Kulikov and
M. V. Kulikova Estimating the State in Stiff
Continuous-Time Stochastic Systems
within Extended Kalman Filtering . . . . A3565--A3588
Simone Cacace and
Fabio Camilli A Generalized Newton Method for
Homogenization of Hamilton--Jacobi
Equations . . . . . . . . . . . . . . . A3589--A3617
Jingya Chang and
Yannan Chen and
Liqun Qi Computing Eigenvalues of Large Scale
Sparse Tensors Arising from a Hypergraph A3618--A3643
Giancarlo Sangalli and
Mattia Tani Isogeometric Preconditioners Based on
Fast Solvers for the Sylvester Equation A3644--A3671
Huibin Chang and
Yifei Lou and
Michael K. Ng and
Tieyong Zeng Phase Retrieval from Incomplete
Magnitude Information via Total
Variation Regularization . . . . . . . . A3672--A3695
Tan Bui-Thanh Construction and Analysis of HDG Methods
for Linearized Shallow Water Equations A3696--A3719
Maojun Li and
Fengyan Li and
Zhen Li and
Liwei Xu Maximum-Principle-Satisfying and
Positivity-Preserving High Order Central
Discontinuous Galerkin Methods for
Hyperbolic Conservation Laws . . . . . . A3720--A3740
Lukas Einkemmer and
Alexander Ostermann Overcoming Order Reduction in
Diffusion-Reaction Splitting. Part 2:
Oblique Boundary Conditions . . . . . . A3741--A3757
Lina Song and
Haiyan Su and
Xinlong Feng Recovery-Based Error Estimator for
Stabilized Finite Element Method for the
Stationary Navier--Stokes Problem . . . A3758--A3772
Eric Joseph Hall and
Håkon Hoel and
Mattias Sandberg and
Anders Szepessy and
Raúl Tempone Computable Error Estimates for Finite
Element Approximations of Elliptic
Partial Differential Equations with
Rough Stochastic Data . . . . . . . . . A3773--A3807
Konstantinos Gourgoulias and
Markos A. Katsoulakis and
Luc Rey-Bellet Information Metrics For Long-Time Errors
in Splitting Schemes For Stochastic
Dynamics and Parallel Kinetic Monte
Carlo . . . . . . . . . . . . . . . . . A3808--A3832
Andrea Cangiani and
Emmanuil H. Georgoulis and
Irene Kyza and
Stephen Metcalfe Adaptivity and Blow-Up Detection for
Nonlinear Evolution Problems . . . . . . A3833--A3856
Bogdan Opanchuk and
Simon Kiesewetter and
Peter D. Drummond Parallel Optimized Sampling for
Stochastic Equations . . . . . . . . . . A3857--A3890
Juan Kuntz and
Michela Ottobre and
Guy-Bart Stan and
Mauricio Barahona Bounding Stationary Averages of
Polynomial Diffusions via Semidefinite
Programming . . . . . . . . . . . . . . A3891--A3920
Eduard Bader and
Mark Kärcher and
Martin A. Grepl and
Karen Veroy Certified Reduced Basis Methods for
Parametrized Distributed Elliptic
Optimal Control Problems with Control
Constraints . . . . . . . . . . . . . . A3921--A3946
Stephan Schmidt and
Eddie Wadbro and
Martin Berggren Large-Scale Three-Dimensional Acoustic
Horn Optimization . . . . . . . . . . . B917--B940
J. R. Peterson and
J. E. Morel and
J. C. Ragusa Residual Monte Carlo for the
One-Dimensional Particle Transport
Equation . . . . . . . . . . . . . . . . B941--B961
Miroslav Kuchta and
Magne Nordaas and
Joris C. G. Verschaeve and
Mikael Mortensen and
Kent-Andre Mardal Preconditioners for Saddle Point Systems
with Trace Constraints Coupling $2$D and
$1$D Domains . . . . . . . . . . . . . . B962--B987
Moritz Lang and
Jörg Stelling Modular Parameter Identification of
Biomolecular Networks . . . . . . . . . B988--B1008
Edward G. Phillips and
John N. Shadid and
Eric C. Cyr and
Howard C. Elman and
Roger P. Pawlowski Block Preconditioners for Stable Mixed
Nodal and Edge finite element
Representations of Incompressible
Resistive MHD . . . . . . . . . . . . . B1009--B1031
Jennifer Scott and
Miroslav Tuma Preconditioning of Linear Least Squares
by Robust Incomplete Factorization for
Implicitly Held Normal Equations . . . . C603--C623
Ariful Azad and
Grey Ballard and
Aydin Buluç and
James Demmel and
Laura Grigori and
Oded Schwartz and
Sivan Toledo and
Samuel Williams Exploiting Multiple Levels of
Parallelism in Sparse Matrix--Matrix
Multiplication . . . . . . . . . . . . . C624--C651
E. Gobet and
J. G. López-Salas and
P. Turkedjiev and
C. Vázquez Stratified Regression Monte--Carlo
Scheme for Semilinear PDEs and BSDEs
with Large Scale Parallelization on GPUs C652--C677
Martin Schreiber and
Tobias Neckel and
Hans-Joachim Bungartz Evaluation of an Efficient Stack-RLE
Clustering Concept for Dynamically
Adaptive Grids . . . . . . . . . . . . . C678--C712
Alexander Heinlein and
Axel Klawonn and
Oliver Rheinbach A Parallel Implementation of a Two-Level
Overlapping Schwarz Method with
Energy-Minimizing Coarse Space Based on
Trilinos . . . . . . . . . . . . . . . . C713--C747
Martin D. Schatz and
Robert A. van de Geijn and
Jack Poulson Parallel Matrix Multiplication: a
Systematic Journey . . . . . . . . . . . C748--C781
Jeonghun J. Lee and
Kent-Andre Mardal and
Ragnar Winther Parameter-Robust Discretization and
Preconditioning of Biot's Consolidation
Model . . . . . . . . . . . . . . . . . A1--A24
Sebastian Garreis and
Michael Ulbrich Constrained Optimization with Low-Rank
Tensors and Applications to Parametric
Problems with PDEs . . . . . . . . . . . A25--A54
James Bremer On the Numerical Calculation of the
Roots of Special Functions Satisfying
Second Order Ordinary Differential
Equations . . . . . . . . . . . . . . . A55--A82
Assyr Abdulle and
Ondrej Budác A Discontinuous Galerkin Reduced Basis
Numerical Homogenization Method for
Fluid Flow in Porous Media . . . . . . . A83--A113
Huiyuan Li and
Zhimin Zhang Efficient Spectral and Spectral Element
Methods for Eigenvalue Problems of
Schrödinger Equations with an Inverse
Square Potential . . . . . . . . . . . . A114--A140
C. E. Powell and
D. Silvester and
V. Simoncini An Efficient Reduced Basis Solver for
Stochastic Galerkin Matrix Equations . . A141--A163
Ben Adcock and
Jesús Martín-Vaquero and
Mark Richardson Resolution-Optimal Exponential and
Double-Exponential Transform Methods for
Functions with Endpoint Singularities A164--A187
T. Betcke and
N. Salles and
W. 'Smigaj Overresolving in the Laplace Domain for
Convolution Quadrature Methods . . . . . A188--A213
Lidia Aceto and
Paolo Novati Rational Approximation to the Fractional
Laplacian Operator in
Reaction--Diffusion Problems . . . . . . A214--A228
Liang Yan and
Yeonjong Shin and
Dongbin Xiu Sparse Approximation using $ \ell_1 -
\ell_2 $ Minimization and Its
Application to Stochastic Collocation A229--A254
Sergey Dolgov and
Martin Stoll Low-Rank Solution to an Optimization
Problem Constrained by the
Navier--Stokes Equations . . . . . . . . A255--A280
L. Beirão da Veiga and
L. F. Pavarino and
S. Scacchi and
O. B. Widlund and
S. Zampini Adaptive Selection of Primal Constraints
for Isogeometric BDDC Deluxe
Preconditioners . . . . . . . . . . . . A281--A302
Anshul Gupta Enhancing Performance and Robustness of
ILU Preconditioners by Blocking and
Selective Transposition . . . . . . . . A303--A332
Ling Guo and
Akil Narayan and
Tao Zhou and
Yuhang Chen Stochastic Collocation Methods via $
\ell_1 $ Minimization Using Randomized
Quadratures . . . . . . . . . . . . . . A333--A359
Fanhai Zeng and
Zhiping Mao and
George Em Karniadakis A Generalized Spectral Collocation
Method with Tunable Accuracy for
Fractional Differential Equations with
End-Point Singularities . . . . . . . . A360--A383
Xiaolin Fan and
Jisheng Kou and
Zhonghua Qiao and
Shuyu Sun A Componentwise Convex Splitting Scheme
for Diffuse Interface Models with van
der Waals and Peng--Robinson Equations
of State . . . . . . . . . . . . . . . . B1--B28
J. H. Adler and
D. B. Emerson and
P. E. Farrell and
S. P. MacLachlan Combining Deflation and Nested Iteration
for Computing Multiple Solutions of
Nonlinear Variational Problems . . . . . B29--B52
Simone Göttlich and
Andreas Potschka and
Ute Ziegler Partial Outer Convexification for
Traffic Light Optimization in Road
Networks . . . . . . . . . . . . . . . . B53--B75
Mihai Cucuringu and
Radek Erban ADM--CLE Approach for Detecting Slow
Variables in Continuous Time Markov
Chains and Dynamic Data . . . . . . . . B76--B101
Max la Cour Christensen and
Umberto Villa and
Allan P. Engsig-Karup and
Panayot S. Vassilevski Numerical Multilevel Upscaling for
Incompressible Flow in Reservoir
Simulation: an Element-Based Algebraic
Multigrid (AMGe) Approach . . . . . . . B102--B137
Christian Engwer and
Johannes Vorwerk and
Jakob Ludewig and
Carsten H. Wolters A Discontinuous Galerkin Method to Solve
the EEG Forward Problem Using the
Subtraction Approach . . . . . . . . . . B138--B164
K. Simon and
S. Sheorey and
D. W. Jacobs and
R. Basri A Hyperelastic Two-Scale Optimization
Model for Shape Matching . . . . . . . . B165--B189
Alexander Veit and
L. Ridgway Scott Using the Tensor-Train Approach to Solve
the Ground-State Eigenproblem for
Hydrogen Molecules . . . . . . . . . . . B190--B220
Paul Mycek and
Francesco Rizzi and
Olivier Le Ma\^\itre and
Khachik Sargsyan and
Karla Morris and
Cosmin Safta and
Bert Debusschere and
Omar Knio Discrete A Priori Bounds for the
Detection of Corrupted PDE Solutions in
Exascale Computations . . . . . . . . . C1--C28
Nela Bosner and
Lars Karlsson Parallel and Heterogeneous
$m$--Hessenberg--Triangular--Triangular
Reduction . . . . . . . . . . . . . . . C29--C47
Yao Zhu and
David F. Gleich and
Ananth Grama Erasure Coding for Fault-Oblivious
Linear System Solvers . . . . . . . . . C48--C64
Jean-Luc Guermond and
Bojan Popov and
Laura Saavedra and
Yong Yang Invariant Domains Preserving Arbitrary
Lagrangian Eulerian Approximation of
Hyperbolic Systems with Continuous
Finite Elements . . . . . . . . . . . . A385--A414
Guoqiao You and
Tony Wong and
Shingyu Leung Eulerian Methods for Visualizing
Continuous Dynamical Systems using
Lyapunov Exponents . . . . . . . . . . . A415--A437
Pierre-Henri Cocquet and
Martin J. Gander How Large a Shift is Needed in the
Shifted Helmholtz Preconditioner for its
Effective Inversion by Multigrid? . . . A438--A478
Nathaniel Trask and
Mauro Perego and
Pavel Bochev A High-Order Staggered Meshless Method
for Elliptic Problems . . . . . . . . . A479--A502
Yingzhou Li and
Haizhao Yang Interpolative Butterfly Factorization A503--A531
Arjun Singh Gambhir and
Andreas Stathopoulos and
Kostas Orginos Deflation as a Method of Variance
Reduction for Estimating the Trace of a
Matrix Inverse . . . . . . . . . . . . . A532--A558
Dennis Denker and
Anne Gelb Edge Detection of Piecewise Smooth
Functions from UnderSampled Fourier Data
Using Variance Signatures . . . . . . . A559--A592
Ashish Bhatt and
Brian E. Moore Structure-preserving Exponential
Runge--Kutta Methods . . . . . . . . . . A593--A612
Nicholas J. Higham and
Peter Kandolf Computing the Action of Trigonometric
and Hyperbolic Matrix Functions . . . . A613--A627
Jesse Chan and
T. Warburton GPU-Accelerated Bernstein--Bézier
Discontinuous Galerkin Methods for Wave
Problems . . . . . . . . . . . . . . . . A628--A654
Silvia Gazzola and
Yves Wiaux Fast Nonnegative Least Squares Through
Flexible Krylov Subspaces . . . . . . . A655--A679
Rosemary A. Renaut and
Saeed Vatankhah and
Vahid E. Ardestani Hybrid and Iteratively Reweighted
Regularization by Unbiased Predictive
Risk and Weighted GCV for Projected
Systems . . . . . . . . . . . . . . . . B221--B243
Juan E. Santos and
Robiel Martínez Corredor and
José M. Carcione Determination of a Transversely
Isotropic Medium Equivalent to a
Fractured Fluid-Saturated Poroelastic
Medium. A Finite Element Approach . . . B244--B271
Meghan O'Connell and
Misha E. Kilmer and
Eric de Sturler and
Serkan Gugercin Computing Reduced Order Models via
Inner-Outer Krylov Recycling in Diffuse
Optical Tomography . . . . . . . . . . . B272--B297
Chengfeng Weng and
Xiaoqun Wang and
Zhijian He Efficient Computation of Option Prices
and Greeks by Quasi--Monte Carlo Method
with Smoothing and Dimension Reduction B298--B322
Laurent White and
Rohan Panchadhara and
Dimitar Trenev Flow Simulation in Heterogeneous Porous
Media With the Moving Least-Squares
Method . . . . . . . . . . . . . . . . . B323--B351
Jeffery Allen and
Chris Leibs and
Tom Manteuffel and
Harihar Rajaram A Fluidity-Based First-Order System
Least-Squares Method for Ice Sheets . . B352--B374
Todd Arbogast and
Marc A. Hesse and
Abraham L. Taicher Mixed Methods for Two-Phase
Darcy--Stokes Mixtures of Partially
Melted Materials with Regions of Zero
Porosity . . . . . . . . . . . . . . . . B375--B402
Chang-Ock Lee and
Changmin Nam Primal Domain Decomposition Methods for
the Total Variation Minimization, Based
on Dual Decomposition . . . . . . . . . B403--B423
Xunnian Yang and
Jialin Hong Dynamic Evaluation of Free-Form Curves
and Surfaces . . . . . . . . . . . . . . B424--B441
Christian Bender and
Christian Gärtner and
Nikolaus Schweizer Iterative Improvement of Lower and Upper
Bounds for Backward SDEs . . . . . . . . B442--B466
Joan Baiges and
Camilo Bayona Refficientlib: an Efficient
Load-Rebalanced Adaptive Mesh Refinement
Algorithm for High-Performance
Computational Physics Meshes . . . . . . C65--C95
Per-Gunnar Martinsson and
Gregorio Quintana Ortí and
Nathan Heavner and
Robert van de Geijn Householder $ Q R $ Factorization With
Randomization for Column Pivoting
(HQRRP) . . . . . . . . . . . . . . . . C96--C115
Mark Ainsworth and
Christian Glusa Is the Multigrid Method Fault Tolerant?
The Two-Grid Case . . . . . . . . . . . C116--C143
Dan Ibanez and
Mark S. Shephard Modifiable Array Data Structures for
Mesh Topology . . . . . . . . . . . . . C144--C161
E. Phipps and
M. D'Elia and
H. C. Edwards and
M. Hoemmen and
J. Hu and
S. Rajamanickam Embedded Ensemble Propagation for
Improving Performance, Portability, and
Scalability of Uncertainty
Quantification on Emerging Computational
Architectures . . . . . . . . . . . . . C162--C193
Santiago Badia and
Marc Olm Space-Time Balancing Domain
Decomposition . . . . . . . . . . . . . C194--C213
Ioannis Toulopoulos and
Thomas Wick Numerical Methods for Power-Law
Diffusion Problems . . . . . . . . . . . A681--A710
David Dereudre and
Sara Mazzonetto and
Sylvie Roelly Exact Simulation of Brownian Diffusions
with Drift Admitting Jumps . . . . . . . A711--A740
Christoph Erath and
Robert Schorr An Adaptive Nonsymmetric Finite Volume
and Boundary Element Coupling Method for
a Fluid Mechanics Interface Problem . . A741--A760
Pieter Coulier and
Hadi Pouransari and
Eric Darve The Inverse Fast Multipole Method: Using
a Fast Approximate Direct Solver as a
Preconditioner for Dense Linear Systems A761--A796
Hadi Pouransari and
Pieter Coulier and
Eric Darve Fast Hierarchical Solvers For Sparse
Matrices Using Extended Sparsification
and Low-Rank Approximation . . . . . . . A797--A830
S. Lanteri and
C. Scheid and
J. Viquerat Analysis of a Generalized Dispersive
Model Coupled to a DGTD Method with
Application to Nanophotonics . . . . . . A831--A859
José Henrique de Morais Goulart and
Gérard Favier Low-Rank Tensor Recovery using
Sequentially Optimal Modal Projections
in Iterative Hard Thresholding (SeMPIHT) A860--A889
Shu-Lin Wu and
Yingxiang Xu Convergence Analysis of Schwarz Waveform
Relaxation with Convolution Transmission
Conditions . . . . . . . . . . . . . . . A890--A921
Anna Lischke and
Mohsen Zayernouri and
George Em Karniadakis A Petrov--Galerkin Spectral Method of
Linear Complexity for Fractional
Multiterm ODEs on the Half Line . . . . A922--A946
Alexander Kurganov and
Martina Prugger and
Tong Wu Second-Order Fully Discrete
Central-Upwind Scheme for
Two-Dimensional Hyperbolic Systems of
Conservation Laws . . . . . . . . . . . A947--A965
Xiaojun Tang and
Yang Shi and
Heyong Xu Fractional Pseudospectral Schemes with
Equivalence for Fractional Differential
Equations . . . . . . . . . . . . . . . A966--A982
Yeonjong Shin and
Dongbin Xiu A Randomized Algorithm for Multivariate
Function Approximation . . . . . . . . . A983--A1002
Ehsan Kharazmi and
Mohsen Zayernouri and
George Em Karniadakis Petrov--Galerkin and Spectral
Collocation Methods for Distributed
Order Differential Equations . . . . . . A1003--A1037
Thomas A. Höft and
Bradley K. Alpert Fast Updating Multipole Coulombic
Potential Calculation . . . . . . . . . A1038--A1061
Elias Jarlebring and
Giampaolo Mele and
Olof Runborg The Waveguide Eigenvalue Problem and the
Tensor Infinite Arnoldi Method . . . . . A1062--A1088
Jun Zhu and
Jianxian Qiu A New Type of Modified WENO Schemes for
Solving Hyperbolic Conservation Laws . . A1089--A1113
John D. Jakeman and
Akil Narayan and
Tao Zhou A Generalized Sampling and
Preconditioning Scheme for Sparse
Approximation of Polynomial Chaos
Expansions . . . . . . . . . . . . . . . A1114--A1144
Yuanzhe Xi and
Yousef Saad A Rational Function Preconditioner For
Indefinite Sparse Linear Systems . . . . A1145--A1167
Felix Anker and
Christian Bayer and
Martin Eigel and
Marcel Ladkau and
Johannes Neumann and
John Schoenmakers SDE Based Regression for Linear Random
PDEs . . . . . . . . . . . . . . . . . . A1168--A1200
A. Myers and
P. Colella and
B. Van Straalen A 4th-Order Particle-in-Cell Method with
Phase-Space Remapping for the
Vlasov--Poisson Equation . . . . . . . . B467--B485
M. J. Del Razo and
R. J. LeVeque Numerical Methods for Interface Coupling
of Compressible and Almost
Incompressible Media . . . . . . . . . . B486--B507
Pedro R. S. Antunes and
Édouard Oudet Numerical Minimization of Dirichlet
Laplacian Eigenvalues of
Four-Dimensional Geometries . . . . . . B508--B521
Franco Dassi and
Patricio Farrell and
Hang Si A Novel Surface Remeshing Scheme via
Radial Basis Functions and
Higher-Dimensional Embedding . . . . . . B522--B547
Vishwas Rao and
Adrian Sandu and
Michael Ng and
Elias D. Nino-Ruiz Robust Data Assimilation Using $ L_1 $
and Huber Norms . . . . . . . . . . . . B548--B570
Y. Sudhakar and
Alvise Sommariva and
Marco Vianello and
Wolfgang A. Wall On the Use of Compressed Polyhedral
Quadrature Formulas in Embedded
Interface Methods . . . . . . . . . . . B571--B587
Ang Li and
Radu Serban and
Dan Negrut Analysis of a Splitting Approach for the
Parallel Solution of Linear Systems on
GPU Cards . . . . . . . . . . . . . . . C215--C237
Heather Wilber and
Alex Townsend and
Grady B. Wright Computing with Functions in Spherical
and Polar Geometries. II. The Disk . . . C238--C262
Francisco J. Gaspar and
Carmen Rodrigo Multigrid Waveform Relaxation for the
Time-Fractional Heat Equation . . . . . A1201--A1224
G. Welper Interpolation of Functions with
Parameter Dependent Jumps by Transformed
Snapshots . . . . . . . . . . . . . . . A1225--A1250
Andrea Cangiani and
Zhaonan Dong and
Emmanuil H. Georgoulis $ h p$-Version Space-Time Discontinuous
Galerkin Methods for Parabolic Problems
on Prismatic Meshes . . . . . . . . . . A1251--A1279
Yat Tin Chow and
Tianyu Wu and
Wotao Yin Cyclic Coordinate-Update Algorithms for
Fixed-Point Problems: Analysis and
Applications . . . . . . . . . . . . . . A1280--A1300
Maxim A. Olshanskii and
Xianmin Xu A Trace Finite Element Method for PDEs
on Evolving Surfaces . . . . . . . . . . A1301--A1319
Fangying Song and
Chuanju Xu and
George Em Karniadakis Computing Fractional Laplacians on
Complex-Geometry Domains: Algorithms and
Simulations . . . . . . . . . . . . . . A1320--A1344
R. Haferssas and
P. Jolivet and
F. Nataf An Additive Schwarz Method Type Theory
for Lions's Algorithm and a Symmetrized
Optimized Restricted Additive Schwarz
Method . . . . . . . . . . . . . . . . . A1345--A1365
Thomas L. D. Croft and
Timothy N. Phillips Least-Squares Proper Generalized
Decompositions for Weakly Coercive
Elliptic Problems . . . . . . . . . . . A1366--A1388
Stefano Zampini and
Xuemin Tu Multilevel Balancing Domain
Decomposition by Constraints Deluxe
Algorithms with Adaptive Coarse Spaces
for Flow in Porous Media . . . . . . . . A1389--A1415
Peter Kandolf and
Samuel D. Relton A Block Krylov Method to Compute the
Action of the Fréchet Derivative of a
Matrix Function on a Vector with
Applications to Condition Number
Estimation . . . . . . . . . . . . . . . A1416--A1434
Andreas Buhr and
Christian Engwer and
Mario Ohlberger and
Stephan Rave ArbiLoMod, a Simulation Technique
Designed for Arbitrary Local
Modifications . . . . . . . . . . . . . A1435--A1465
Clark R. Dohrmann and
Olof B. Widlund On the Design of Small Coarse Spaces for
Domain Decomposition Algorithms . . . . A1466--A1488
Leo G. Rebholz and
Mengying Xiao Improved Accuracy in Algebraic Splitting
Methods for Navier--Stokes Equations . . A1489--A1513
J. L. Hart and
A. Alexanderian and
P. A. Gremaud Efficient Computation of Sobol' Indices
for Stochastic Models . . . . . . . . . A1514--A1530
Lin Mu and
Junping Wang and
Xiu Ye A Least-Squares-Based Weak Galerkin
Finite Element Method for Second Order
Elliptic Equations . . . . . . . . . . . A1531--A1557
Insu Han and
Dmitry Malioutov and
Haim Avron and
Jinwoo Shin Approximating Spectral Sums of
Large-Scale Matrices using Stochastic
Chebyshev Approximations . . . . . . . . A1558--A1585
Reiichiro Kawai Acceleration on Adaptive Importance
Sampling with Sample Average
Approximation . . . . . . . . . . . . . A1586--A1615
Hao Liu and
Zhigang Yao and
Shingyu Leung and
Tony F. Chan A Level Set Based Variational Principal
Flow Method for Nonparametric Dimension
Reduction on Riemannian Manifolds . . . A1616--A1646
Olivier Zahm and
Marie Billaud-Friess and
Anthony Nouy Projection-Based Model Order Reduction
Methods for the Estimation of
Vector-Valued Variables of Interest . . A1647--A1674
Qiya Hu and
Xuan Li Novel Multilevel Preconditioners for the
Systems Arising from Plane Wave
Discretization of Helmholtz Equations
with Large Wave Numbers . . . . . . . . A1675--A1709
Patrick Amestoy and
Alfredo Buttari and
Jean-Yves L'Excellent and
Theo Mary On the Complexity of the Block Low-Rank
Multifrontal Factorization . . . . . . . A1710--A1740
Dang-Manh Nguyen and
Jörg Peters Explicit Least-Degree Boundary Filters
for Discontinuous Galerkin . . . . . . . A1741--A1765
Marie Billaud-Friess and
Anthony Nouy Dynamical Model Reduction Method for
Solving Parameter-Dependent Dynamical
Systems . . . . . . . . . . . . . . . . A1766--A1792
Max Kuang and
Esteban G. Tabak Preconditioning of Optimal Transport . . A1793--A1810
Thomas Wick An Error-Oriented Newton/Inexact
Augmented Lagrangian Approach for Fully
Monolithic Phase-Field Fracture
Propagation . . . . . . . . . . . . . . B589--B617
J. Dölz and
H. Harbrecht and
M. D. Peters $ \mathcal {H} $-Matrix Based Second
Moment Analysis for Rough Random Fields
and Finite Element Discretizations . . . B618--B639
H. C. La and
A. Potschka and
J. P. Schlöder and
H. G. Bock Dual Control and Online Optimal
Experimental Design . . . . . . . . . . B640--B657
Irene M. Gamba and
Jeffrey R. Haack and
Cory D. Hauck and
Jingwei Hu A Fast Spectral Method for the Boltzmann
Collision Operator with General
Collision Kernels . . . . . . . . . . . B658--B674
Ossian O'Reilly and
Eric M. Dunham and
Jan Nordström Simulation of Wave Propagation Along
Fluid-Filled Cracks Using High-Order
Summation-by-Parts Operators and
Implicit-Explicit Time Stepping . . . . B675--B702
Martin Eller and
Stefan Reitzinger and
Sebastian Schöps and
Sabine Zaglmayr A Symmetric Low-Frequency Stable
Broadband Maxwell Formulation for
Industrial Applications . . . . . . . . B703--B731
Mark Ainsworth and
Scott Klasky and
Ben Whitney Compression Using Lossless Decimation:
Analysis and Application . . . . . . . . B732--B757
Jed A. Duersch and
Ming Gu Randomized $ Q R $ with Column Pivoting C263--C291
Zixing Xin and
Jianlin Xia and
Maarten V. de Hoop and
Stephen Cauley and
Venkataramanan Balakrishnan A Distributed-Memory Randomized
Structured Multifrontal Method for
Sparse Direct Solutions . . . . . . . . C292--C318
Jennifer Scott On Using Cholesky-Based Factorizations
and Regularization for Solving
Rank-Deficient Sparse Linear
Least-Squares Problems . . . . . . . . . C319--C339
Kailiang Wu and
Yeonjong Shin and
Dongbin Xiu A Randomized Tensor Quadrature Method
for High Dimensional Polynomial
Approximation . . . . . . . . . . . . . A1811--A1833
Walter Acevedo and
Jana de Wiljes and
Sebastian Reich Second-order Accurate Ensemble Transform
Particle Filters . . . . . . . . . . . . A1834--A1850
Sjoerd Geevers and
J. J. W. van der Vegt Sharp Penalty Term and Time Step Bounds
for the Interior Penalty Discontinuous
Galerkin Method for Linear Hyperbolic
Problems . . . . . . . . . . . . . . . . A1851--A1878
Daniel Kressner and
Lana Perisa Recompression of Hadamard Products of
Tensors in Tucker Format . . . . . . . . A1879--A1902
Alejandro Allendes and
Gabriel R. Barrenechea and
Richard Rankin Fully Computable Error Estimation of a
Nonlinear, Positivity-Preserving
Discretization of the
Convection-Diffusion-Reaction Equation A1903--A1927
Zhiping Mao and
Jie Shen Hermite Spectral Methods for Fractional
PDEs in Unbounded Domains . . . . . . . A1928--A1950
Chunxiong Zheng and
Jiashun Hu and
Qiang Du and
Jiwei Zhang Numerical Solution of the Nonlocal
Diffusion Equation on the Real Line . . A1951--A1968
Hui Guo and
Yang Yang Bound-Preserving Discontinuous Galerkin
Method for Compressible Miscible
Displacement in Porous Media . . . . . . A1969--A1990
Saman Ghili and
Gianluca Iaccarino Least Squares Approximation of
Polynomial Chaos Expansions With
Optimized Grid Points . . . . . . . . . A1991--A2019
Martin Almquist and
Michaela Mehlin MultiLevel Local Time-Stepping Methods
of Runge--Kutta-type for Wave Equations A2020--A2048
Mario Berljafa and
Stefan Güttel The RKFIT Algorithm for Nonlinear
Rational Approximation . . . . . . . . . A2049--A2071
T. Butler and
L. Graham and
S. Mattis and
S. Walsh A Measure-Theoretic Interpretation of
Sample Based Numerical Integration with
Applications to Inverse and Prediction
Problems under Uncertainty . . . . . . . A2072--A2098
Giacomo Dimarco and
Raphaël Loub\`ere and
Marie-Hél\`ene Vignal Study of a New Asymptotic Preserving
Scheme for the Euler System in the Low
Mach Number Limit . . . . . . . . . . . A2099--A2128
Erik Lehto and
Varun Shankar and
Grady B. Wright A Radial Basis Function (RBF) Compact
Finite Difference (FD) Scheme for
Reaction-Diffusion Equations on Surfaces A2129--A2151
Benjamin Peherstorfer and
Serkan Gugercin and
Karen Willcox Data-Driven Reduced Model Construction
with Time-Domain Loewner Models . . . . A2152--A2178
Julia Docampo-Sánchez and
Jennifer K. Ryan and
Mahsa Mirzargar and
Robert M. Kirby Multi-Dimensional Filtering: Reducing
the Dimension Through Rotation . . . . . A2179--A2200
Qingyuan Liu and
Chi-Wang Shu and
Mengping Zhang Discontinuous Galerkin Methods for
Weakly Coupled Hyperbolic MultiDomain
Problems . . . . . . . . . . . . . . . . A2201--A2230
Rongjie Lai and
Jia Li Solving Partial Differential Equations
on Manifolds From Incomplete Interpoint
Distance . . . . . . . . . . . . . . . . A2231--A2256
J. R. Maddison and
H. R. Hiester Optimal Constrained Interpolation in
Mesh-Adaptive Finite Element Modeling A2257--A2286
Armin Iske and
Sabine Le Borne and
Michael Wende Hierarchical Matrix Approximation for
Kernel-Based Scattered Data
Interpolation . . . . . . . . . . . . . A2287--A2316
Rémi Abgrall and
Svetlana Tokareva Staggered Grid Residual Distribution
Scheme for Lagrangian Hydrodynamics . . A2317--A2344
Matthias Kirchhart and
Shinnosuke Obi A Smooth Partition of Unity Finite
Element Method for Vortex Particle
Regularization . . . . . . . . . . . . . A2345--A2364
Nick Alger and
Umberto Villa and
Tan Bui-Thanh and
Omar Ghattas A Data Scalable Augmented Lagrangian KKT
Preconditioner for Large-Scale Inverse
Problems . . . . . . . . . . . . . . . . A2365--A2393
Sung Ha Kang and
Seong Jun Kim and
Haomin Zhou Optimal Sensor Positioning; A
Probability Perspective Study . . . . . B759--B777
Alessandro Alla and
J. Nathan Kutz Nonlinear Model Order Reduction via
Dynamic Mode Decomposition . . . . . . . B778--B796
Mónika Polner and
J. J. W. van der Vegt and
S. A. van Gils A Space-Time Finite Element Method for
Neural Field Equations with Transmission
Delays . . . . . . . . . . . . . . . . . B797--B818
Armin Lechleiter and
Ruming Zhang A Floquet--Bloch Transform Based
Numerical Method for Scattering from
Locally Perturbed Periodic Surfaces . . B819--B839
Wen Huang and
K. A. Gallivan and
Xiangxiong Zhang Solving PhaseLift by Low-Rank Riemannian
Optimization Methods for Complex
Semidefinite Constraints . . . . . . . . B840--B859
Andreas Mang and
Lars Ruthotto A Lagrangian Gauss--Newton--Krylov
Solver for Mass- and
Intensity-Preserving Diffeomorphic Image
Registration . . . . . . . . . . . . . . B860--B885
Sean Carnaffan and
Reiichiro Kawai Solving Multidimensional Fractional
Fokker--Planck Equations via Unbiased
Density Formulas for Anomalous Diffusion
Processes . . . . . . . . . . . . . . . B886--B915
Edward Hall and
Paul Houston and
Steven Murphy $ h p$-Adaptive Discontinuous Galerkin
Methods for Neutron Transport
Criticality Problems . . . . . . . . . . B916--B942
Fergus R. Cooper and
Ruth E. Baker and
Alexander G. Fletcher Numerical Analysis of the Immersed
Boundary Method for Cell-Based
Simulation . . . . . . . . . . . . . . . B943--B967
Matthew Causley and
Hana Cho and
Andrew Christlieb Method of Lines Transpose: Energy
Gradient Flows Using Direct Operator
Inversion for Phase-Field Models . . . . B968--B992
Christophe Airiau and
Jean-Marie Buchot and
Ritesh Kumar Dubey and
Michel Fournié and
Jean-Pierre Raymond and
Jessie Weller-Calvo Stabilization and Best Actuator Location
for the Navier--Stokes Equations . . . . B993--B1020
Behnam Hashemi and
Lloyd N. Trefethen Chebfun in Three Dimensions . . . . . . C341--C363
Carsten Burstedde and
Johannes Holke Coarse Mesh Partitioning for Tree-Based
AMR . . . . . . . . . . . . . . . . . . C364--C392
Michele Benzi Special Section: 2016 Copper Mountain
Conference . . . . . . . . . . . . . . . S1--S2
J. H. Adler and
X. Hu and
L. T. Zikatanov Robust Solvers for Maxwell's Equations
with Dissipative Boundary Conditions . . S3--S23
Julianne Chung and
Arvind K. Saibaba Generalized Hybrid Iterative Methods for
Large-Scale Bayesian Inverse Problems S24--S46
Alex Toth and
J. Austin Ellis and
Tom Evans and
Steven Hamilton and
C. T. Kelley and
Roger Pawlowski and
Stuart Slattery Local Improvement Results for Anderson
Acceleration with Inaccurate Function
Evaluations . . . . . . . . . . . . . . S47--S65
Jesús A. De Loera and
Jamie Haddock and
Deanna Needell A Sampling Kaczmarz--Motzkin Algorithm
for Linear Feasibility . . . . . . . . . S66--S87
Yvan Notay Algebraic Multigrid for Stokes Equations S88--S111
Oliver Lass and
Stefan Ulbrich Model Order Reduction Techniques with a
Posteriori Error Control for Nonlinear
Robust Optimization Governed by Partial
Differential Equations . . . . . . . . . S112--S139
Zheng Wang and
Johnathan M. Bardsley and
Antti Solonen and
Tiangang Cui and
Youssef M. Marzouk Bayesian Inverse Problems with $ l_1 $
Priors: a Randomize-Then-Optimize
Approach . . . . . . . . . . . . . . . . S140--S166
Alessio Spantini and
Tiangang Cui and
Karen Willcox and
Luis Tenorio and
Youssef Marzouk Goal-Oriented Optimal Approximations of
Bayesian Linear Inverse Problems . . . . S167--S196
Mario Berljafa and
Stefan Güttel Parallelization of the Rational Arnoldi
Algorithm . . . . . . . . . . . . . . . S197--S221
Tania Bakhos and
Peter K. Kitanidis and
Scott Ladenheim and
Arvind K. Saibaba and
Daniel B. Szyld Multipreconditioned GMRES for Shifted
Systems . . . . . . . . . . . . . . . . S222--S247
Lingfei Wu and
Eloy Romero and
Andreas Stathopoulos PRIMME\_SVDS: a High-Performance
Preconditioned SVD Solver for Accurate
Large-Scale Computations . . . . . . . . S248--S271
Johann Rudi and
Georg Stadler and
Omar Ghattas Weighted BFBT Preconditioner for Stokes
Flow Problems with Highly Heterogeneous
Viscosity . . . . . . . . . . . . . . . S272--S297
R. D. Falgout and
T. A. Manteuffel and
B. O'Neill and
J. B. Schroder Multigrid Reduction in Time for
Nonlinear Parabolic Problems: a Case
Study . . . . . . . . . . . . . . . . . S298--S322
Andrew T. Barker and
Chak S. Lee and
Panayot S. Vassilevski Spectral Upscaling for Graph Laplacian
Problems with Application to Reservoir
Simulation . . . . . . . . . . . . . . . S323--S346
Marc Gamell and
Keita Teranishi and
Hemanth Kolla and
Jackson Mayo and
Michael A. Heroux and
Jacqueline Chen and
Manish Parashar Scalable Failure Masking for Stencil
Computations using Ghost Region
Expansion and Cell to Rank Remapping . . S347--S378
Artem Napov and
Yvan Notay An Efficient Multigrid Method for Graph
Laplacian Systems II: Robust Aggregation S379--S403
Klaudius Scheufele and
Miriam Mehl Robust Multisecant Quasi-Newton Variants
for Parallel Fluid-Structure Simulations
--- and Other Multiphysics Applications S404--S433
Elizabeth Qian and
Martin Grepl and
Karen Veroy and
Karen Willcox A Certified Trust Region Reduced Basis
Approach to PDE-Constrained Optimization S434--S460
Nguyenho Ho and
Sarah D. Olson and
Homer F. Walker Accelerating the Uzawa Algorithm . . . . S461--S476
D. Calvetti and
F. Pitolli and
J. Prezioso and
E. Somersalo and
B. Vantaggi Priorconditioned CGLS-Based Quasi-MAP
Estimate, Statistical Stopping Rule, and
Ranking of Priors . . . . . . . . . . . S477--S500
V. A. Dobrev and
Tz. Kolev and
N. A. Petersson and
J. B. Schroder Two-Level Convergence Theory for
Multigrid Reduction in Time (MGRIT) . . S501--S527
Ahmed Hefny and
Deanna Needell and
Aaditya Ramdas Rows versus Columns: Randomized Kaczmarz
or Gauss--Seidel for Ridge Regression S528--S542
Sarah Osborn and
Panayot S. Vassilevski and
Umberto Villa A Multilevel, Hierarchical Sampling
Technique for Spatially Correlated
Random Fields . . . . . . . . . . . . . S543--S562
M. Ganesh and
C. Morgenstern A Sign-Definite Preconditioned
High-Order FEM, Part I: Formulation and
Simulation for Bounded \em Homogeneous
Media Wave Propagation . . . . . . . . . S563--S586
Eran Treister and
Eldad Haber Full Waveform Inversion Guided by Travel
Time Tomography . . . . . . . . . . . . S587--S609
Mark Embree and
Ronald B. Morgan and
Huy V. Nguyen Weighted Inner Products for GMRES and
GMRES--DR . . . . . . . . . . . . . . . S610--S632
Peiyao Luo and
Carmen Rodrigo and
Francisco J. Gaspar and
Cornelis W. Oosterlee Uzawa Smoother in Multigrid for the
Coupled Porous Medium and Stokes Flow
System . . . . . . . . . . . . . . . . . S633--S661
Quan M. Bui and
Howard C. Elman and
J. David Moulton Algebraic Multigrid Preconditioners for
Multiphase Flow in Porous Media . . . . S662--S680
Panos Parpas A Multilevel Proximal Gradient Algorithm
for a Class of Composite Optimization
Problems . . . . . . . . . . . . . . . . S681--S701
Lars Ruthotto and
Eran Treister and
Eldad Haber jInv --- a Flexible Julia Package for
PDE Parameter Estimation . . . . . . . . S702--S722
Thomas A. Manteuffel and
Luke N. Olson and
Jacob B. Schroder and
Ben S. Southworth A Root-Node--Based Algebraic Multigrid
Method . . . . . . . . . . . . . . . . . S723--S756
Paul Kuberry and
Pavel Bochev and
Kara Peterson An Optimization-Based Approach for
Elliptic Problems with Interfaces . . . S757--S781
Sriramkrishnan Muralikrishnan and
Minh-Binh Tran and
Tan Bui-Thanh iHDG: an Iterative HDG Framework for
Partial Differential Equations . . . . . S782--S808
Yu-Hong Yeung and
Alex Pothen and
Mahantesh Halappanavar and
Zhenyu Huang AMPS: an Augmented Matrix Formulation
for Principal Submatrix Updates with
Application to Power Grids . . . . . . . S809--S827
Kookjin Lee and
Howard C. Elman A Preconditioned Low-Rank Projection
Method with a Rank-Reduction Scheme for
Stochastic Partial Differential
Equations . . . . . . . . . . . . . . . S828--S850
Pieterjan Robbe and
Dirk Nuyens and
Stefan Vandewalle A Multi-Index Quasi--Monte Carlo
Algorithm for Lognormal Diffusion
Problems . . . . . . . . . . . . . . . . S851--S872
D. Drzisga and
B. Gmeiner and
U. Rüde and
R. Scheichl and
B. Wohlmuth Scheduling Massively Parallel Multigrid
for Multilevel Monte Carlo Methods . . . S873--S897
Sarah W. Gaaf and
Elias Jarlebring The Infinite Bi-Lanczos Method for
Nonlinear Eigenvalue Problems . . . . . S898--S919
Christopher A. Leibs and
Thomas A. Manteuffel and
Steffen Münzenmaier A Comparison of Finite Element Spaces
for $ H({\rm div}) $ Conforming
First-Order System Least Squares . . . . S920--S944
Alyson Fox and
Thomas Manteuffel and
Geoffrey Sanders Numerical Methods for Gremban's
Expansion of Signed Graphs . . . . . . . S945--S968
Jesse Chan and
Russell J. Hewett and
T. Warburton Weight-Adjusted Discontinuous Galerkin
Methods: Curvilinear Meshes . . . . . . A2395--A2421
Jennifer Scott and
Miroslav Tuma Solving Mixed Sparse-Dense Linear
Least-Squares Problems by Preconditioned
Iterative Methods . . . . . . . . . . . A2422--A2437
Ramsharan Rangarajan and
Adrian J. Lew Provably Robust Directional Vertex
Relaxation for Geometric Mesh
Optimization . . . . . . . . . . . . . . A2438--A2471
Sergio Amat and
Jacques Liandrat and
Juan Ruiz and
Juan C. Trillo On a Power WENO Scheme with Improved
Accuracy Near Discontinuities . . . . . A2472--A2507
Yannan Chen and
Liqun Qi and
Xiaoyan Zhang The Fiedler Vector of a Laplacian Tensor
for Hypergraph Partitioning . . . . . . A2508--A2537
Elisabeth Larsson and
Victor Shcherbakov and
Alfa Heryudono A Least Squares Radial Basis Function
Partition of Unity Method for Solving
PDEs . . . . . . . . . . . . . . . . . . A2538--A2563
Michael Dumbser and
Walter Boscheri and
Matteo Semplice and
Giovanni Russo Central Weighted ENO Schemes for
Hyperbolic Conservation Laws on Fixed
and Moving Unstructured Meshes . . . . . A2564--A2591
Shibing Tang and
Xuejun Xu Local Multilevel Methods with
Rectangular Finite Elements for the
Biharmonic Problem . . . . . . . . . . . A2592--A2615
Babak Maboudi Afkham and
Jan S. Hesthaven Structure Preserving Model Reduction of
Parametric Hamiltonian Systems . . . . . A2616--A2644
Roland Herzog and
Kirk M. Soodhalter A Modified Implementation of MINRES to
Monitor Residual Subvector Norms for
Block Systems . . . . . . . . . . . . . A2645--A2663
Feng Bao and
Vasileios Maroulas Adaptive Meshfree Backward SDE Filter A2664--A2683
A. Gregory and
C. J. Cotter A Seamless Multilevel Ensemble Transform
Particle Filter . . . . . . . . . . . . A2684--A2701
Xiaoying Dai and
Zhuang Liu and
Liwei Zhang and
Aihui Zhou A Conjugate Gradient Method for
Electronic Structure Calculations . . . A2702--A2740
Eitan Levin and
Alexander Y. Meltzer Estimation of the Regularization
Parameter in Linear Discrete Ill-Posed
Problems Using the Picard Parameter . . A2741--A2762
Roman Andreev Preconditioning the Augmented Lagrangian
Method for Instationary Mean Field Games
with Diffusion . . . . . . . . . . . . . A2763--A2783
Peter Kloeden and
Tony Shardlow Gauss-Quadrature Method for
One-Dimensional Mean-Field SDEs . . . . A2784--A2807
Rui Chen and
Xiaofeng Yang and
Hui Zhang Second Order, Linear, and
Unconditionally Energy Stable Schemes
for a Hydrodynamic Model of Smectic-A
Liquid Crystals . . . . . . . . . . . . A2808--A2833
Erin Carson and
Nicholas J. Higham A New Analysis of Iterative Refinement
and Its Application to Accurate Solution
of Ill-Conditioned Sparse Linear Systems A2834--A2856
Yoshio Komori and
David Cohen and
Kevin Burrage Weak Second Order Explicit Exponential
Runge--Kutta Methods for Stochastic
Differential Equations . . . . . . . . . A2857--A2878
Qiuqi Li and
Lijian Jiang A Novel Variable-Separation Method Based
on Sparse and Low Rank Representation
for Stochastic Partial Differential
Equations . . . . . . . . . . . . . . . A2879--A2910
Birte Schmidtmann and
Manuel Torrilhon A Hybrid Riemann Solver for Large
Hyperbolic Systems of Conservation Laws A2911--A2934
Jesse Chan and
Russell J. Hewett and
T. Warburton Weight-Adjusted Discontinuous Galerkin
Methods: Wave Propagation in
Heterogeneous Media . . . . . . . . . . A2935--A2961
Wei Guo and
Yingda Cheng An Adaptive Multiresolution
Discontinuous Galerkin Method for
Time-Dependent Transport Equations in
Multidimensions . . . . . . . . . . . . A2962--A2992
Michael Wathen and
Chen Greif and
Dominik Schötzau Preconditioners for Mixed Finite Element
Discretizations of Incompressible MHD
Equations . . . . . . . . . . . . . . . A2993--A3013
Nikola D. Peri\'c and
Mario E. Villanueva and
Beno\^\it Chachuat Sensitivity Analysis of Uncertain
Dynamic Systems Using Set-Valued
Integration . . . . . . . . . . . . . . A3014--A3039
Shu-Lin Wu and
Xiaojun Chen A Parallel Iterative Algorithm for
Differential Linear Complementarity
Problems . . . . . . . . . . . . . . . . A3040--A3066
Dongfang Li and
Jilu Wang and
Jiwei Zhang Unconditionally Convergent $ L1
$-Galerkin FEMs for Nonlinear
Time-Fractional Schrödinger Equations . . A3067--A3088
Kuan Xu and
Anthony P. Austin and
Ke Wei A Fast Algorithm for the Convolution of
Functions with Compact Support Using
Fourier Extensions . . . . . . . . . . . A3089--A3106
Jeffrey M. Hokanson Projected Nonlinear Least Squares for
Exponential Fitting . . . . . . . . . . A3107--A3128
Bangti Jin and
Buyang Li and
Zhi Zhou Correction of High-Order BDF Convolution
Quadrature for Fractional Evolution
Equations . . . . . . . . . . . . . . . A3129--A3152
D. E. Charrier and
D. A. May and
S. M. Schnepp Symmetric Interior Penalty Discontinuous
Galerkin Discretizations and Block
Preconditioning for Heterogeneous Stokes
Flow . . . . . . . . . . . . . . . . . . B1021--B1042
J. Gopalakrishnan and
J. Schöberl and
C. Wintersteiger Mapped Tent Pitching Schemes for
Hyperbolic Systems . . . . . . . . . . . B1043--B1063
Andreas Mang and
George Biros A Semi-Lagrangian Two-Level
Preconditioned Newton--Krylov Solver for
Constrained Diffeomorphic Image
Registration . . . . . . . . . . . . . . B1064--B1101
Ionut Danaila and
Bartosz Protas Computation of Ground States of the
Gross--Pitaevskii Functional via
Riemannian Optimization . . . . . . . . B1102--B1129
Yassine Boubendir and
Fatih Ecevit and
Fernando Reitich Acceleration of an Iterative Method for
the Evaluation of High-Frequency
Multiple Scattering Effects . . . . . . B1130--B1155
Martin Siebenborn and
Kathrin Welker Algorithmic Aspects of Multigrid Methods
for Optimization in Shape Spaces . . . . B1156--B1177
Anil Damle and
Lin Lin and
Lexing Ying Computing Localized Representations of
the Kohn--Sham Subspace Via
Randomization and Refinement . . . . . . B1178--B1198
Mark Ainsworth and
Christian Glusa Is the Multigrid Method Fault Tolerant?
The Multilevel Case . . . . . . . . . . C393--C416
Axel Klawonn and
Martin Lanser and
Oliver Rheinbach and
Matthias Uran Nonlinear FETI--DP and BDDC Methods: a
Unified Framework and Parallel Results C417--C451
Mark F. Adams and
Eero Hirvijoki and
Matthew G. Knepley and
Jed Brown and
Tobin Isaac and
Richard Mills Landau Collision Integral Solver with
Adaptive Mesh Refinement on Emerging
Architectures . . . . . . . . . . . . . C452--C465
Purnima Ghale and
Matthew P. Kroonblawd and
Sue Mniszewski and
Christian F. A. Negre and
Robert Pavel and
Sergio Pino and
Vivek Sardeshmukh and
Guangjie Shi and
Georg Hahn Task-based Parallel Computation of the
Density Matrix in Quantum-based
Molecular Dynamics using Graph
Partitioning . . . . . . . . . . . . . . C466--C480
Meng Wang and
Shingyu Leung and
Hongkai Zhao Modified Virtual Grid Difference for
Discretizing the Laplace--Beltrami
Operator on Point Clouds . . . . . . . . A1--A21
Matthias Heinkenschloss and
Dörte Jando Reduced Order Modeling for
Time-Dependent Optimization Problems
with Initial Value Controls . . . . . . A22--A51
Alexandre Caboussat and
Roland Glowinski An Alternating Direction Method of
Multipliers for the Numerical Solution
of a Fully Nonlinear Partial
Differential Equation Involving the
Jacobian Determinant . . . . . . . . . . A52--A80
Tong Qin and
Chi-Wang Shu Implicit Positivity-Preserving
High-Order Discontinuous Galerkin
Methods for Conservation Laws . . . . . A81--A107
H. Egger A Robust Conservative Mixed Finite
Element Method for Isentropic
Compressible Flow on Pipe Networks . . . A108--A129
Hannah Morgan and
L. Ridgway Scott Towards a Unified Finite Element Method
for the Stokes Equations . . . . . . . . A130--A141
Kainan Wang and
Tan Bui-Thanh and
Omar Ghattas A Randomized Maximum A Posteriori Method
for Posterior Sampling of High
Dimensional Nonlinear Bayesian Inverse
Problems . . . . . . . . . . . . . . . . A142--A171
Maziar Raissi and
Paris Perdikaris and
George Em Karniadakis Numerical Gaussian Processes for
Time-Dependent and Nonlinear Partial
Differential Equations . . . . . . . . . A172--A198
Jonathan Feinberg and
Vinzenz Gregor Eck and
Hans Petter Langtangen Multivariate Polynomial Chaos Expansions
with Dependent Variables . . . . . . . . A199--A223
Huo-Yuan Duan and
Roger C. E. Tan and
Suh-Yuh Yang and
Cheng-Shu You A Mixed $ H^1 $-Conforming Finite
Element Method for Solving Maxwell's
Equations with Non-$ H^1 $ Solution . . A224--A250
Kevin W. Aiton and
Tobin A. Driscoll An Adaptive Partition of Unity Method
for Chebyshev Polynomial Interpolation A251--A265
Ka Chun Cheung and
Leevan Ling A Kernel-Based Embedding Method and
Convergence Analysis for Surfaces PDEs A266--A287
Christophe Chalons and
Paola Goatin and
Luis M. Villada High-Order Numerical Schemes for
One-Dimensional Nonlocal Conservation
Laws . . . . . . . . . . . . . . . . . . A288--A305
Wouter Tierens Unification of Leapfrog and
Crank--Nicolson Finite Difference Time
Domain Methods . . . . . . . . . . . . . A306--A330
H. Egger and
T. Kugler and
B. Liljegren-Sailer and
N. Marheineke and
V. Mehrmann On Structure-Preserving Model Reduction
for Damped Wave Propagation in Transport
Networks . . . . . . . . . . . . . . . . A331--A365
Ling Guo and
Akil Narayan and
Liang Yan and
Tao Zhou Weighted Approximate Fekete Points:
Sampling for Least-Squares Polynomial
Approximation . . . . . . . . . . . . . A366--A387
Masayuki Yano A Reduced Basis Method for Coercive
Equations with an Exact Solution
Certificate and Spatio-Parameter
Adaptivity: Energy-Norm and Output Error
Bounds . . . . . . . . . . . . . . . . . A388--A420
Hadrien Montanelli and
Yuji Nakatsukasa Fourth-Order Time-Stepping For Stiff
PDEs On The Sphere . . . . . . . . . . . A421--A451
Alessandro Buccini and
Marco Donatelli and
Ronny Ramlau A Semiblind Regularization Algorithm for
Inverse Problems with Application to
Image Deblurring . . . . . . . . . . . . A452--A483
Roland Glowinski and
Shingyu Leung and
Jianliang Qian A Simple Explicit Operator-Splitting
Method for Effective Hamiltonians . . . A484--A503
G. Dimarco and
L. Pareschi and
G. Samaey Asymptotic-Preserving Monte Carlo
Methods for Transport Equations in the
Diffusive Limit . . . . . . . . . . . . A504--A528
Diego Ruiz-Antolín and
Alex Townsend A Nonuniform Fast Fourier Transform
Based on Low Rank Approximation . . . . A529--A547
Xiaoliang Wan and
Xiang Zhou Asymptotically Efficient Simulation of
Elliptic Problems with Small Random
Forcing . . . . . . . . . . . . . . . . A548--A572
Tommy Elfving and
Per Christian Hansen Unmatched Projector/Backprojector Pairs:
Perturbation and Convergence Analysis A573--A591
Zhong-Zhi Bai and
Wen-Ting Wu On Greedy Randomized Kaczmarz Method for
Solving Large Sparse Linear Systems . . A592--A606
Zhiqiang Sheng and
Guangwei Yuan Construction of Nonlinear Weighted
Method for Finite Volume Schemes
Preserving Maximum Principle . . . . . . A607--A628
Nat Chun-Ho Leung and
Christina C. Christara and
Duy-Minh Dang Partial Differential Equation Pricing of
Contingent Claims under Stochastic
Correlation . . . . . . . . . . . . . . B1--B31
Robert W. Anderson and
Veselin A. Dobrev and
Tzanio V. Kolev and
Robert N. Rieben and
Vladimir Z. Tomov High-Order Multi-Material ALE
Hydrodynamics . . . . . . . . . . . . . B32--B58
Stefano Zonca and
Christian Vergara and
Luca Formaggia An Unfitted Formulation for the
Interaction of an Incompressible Fluid
with a Thick Structure via an XFEM/DG
Approach . . . . . . . . . . . . . . . . B59--B84
Johannes Semmler and
Lukas Pflug and
Michael Stingl Material Optimization in Transverse
Electromagnetic Scattering Applications B85--B109
Yali Gao and
Xiaoming He and
Liquan Mei and
Xiaofeng Yang Decoupled, Linear, and Energy Stable
Finite Element Method for the
Cahn--Hilliard--Navier--Stokes--Darcy
Phase Field Model . . . . . . . . . . . B110--B137
Yuezheng Gong and
Jia Zhao and
Xiaogang Yang and
Qi Wang Fully Discrete Second-Order Linear
Schemes for Hydrodynamic Phase Field
Models of Binary Viscous Fluid Flows
with Variable Densities . . . . . . . . B138--B167
Majid K. Vakilzadeh and
James L. Beck and
Thomas Abrahamsson Using Approximate Bayesian Computation
by Subset Simulation for Efficient
Posterior Assessment of Dynamic
State-Space Model Classes . . . . . . . B168--B195
N. Rahimi and
P. Kerfriden and
F. C. Langbein and
R. R. Martin CAD Model Simplification Error
Estimation for Electrostatics Problems B196--B227
Alessio Fumagalli and
Eirik Keilegavlen Dual Virtual Element Method for Discrete
Fractures Networks . . . . . . . . . . . B228--B258
Duan Chen and
Min Hyung Cho and
Wei Cai Accurate and Efficient Nyström Volume
Integral Equation Method for
Electromagnetic Scattering of $3$-D
Metamaterials in Layered Media . . . . . B259--B282
Syuzanna Sargsyan and
Steven L. Brunton and
J. Nathan Kutz Online Interpolation Point Refinement
for Reduced-Order Models using a Genetic
Algorithm . . . . . . . . . . . . . . . B283--B304
A. Lipponen and
J. M. J. Huttunen and
S. Romakkaniemi and
H. Kokkola and
V. Kolehmainen Correction of Model Reduction Errors in
Simulations . . . . . . . . . . . . . . B305--B327
Devin A. Matthews High-Performance Tensor Contraction
without Transposition . . . . . . . . . C1--C24
Enver Kayaaslan and
Cevdet Aykanat and
Bora Uçar $ 1.5 $D Parallel Sparse Matrix--Vector
Multiply . . . . . . . . . . . . . . . . C25--C46
Cameron W. Smith and
Michel Rasquin and
Dan Ibanez and
Kenneth E. Jansen and
Mark S. Shephard Improving Unstructured Mesh Partitions
for Multiple Criteria Using Mesh
Adjacencies . . . . . . . . . . . . . . C47--C75
Robert C. Kirby and
Lawrence Mitchell Solver Composition Across the PDE/Linear
Algebra Barrier . . . . . . . . . . . . C76--C98
Oguz Kaya and
Bora Uçar Parallel Candecomp/Parafac Decomposition
of Sparse Tensors Using Dimension Trees C99--C130
Maxence Reberol and
Bruno Lévy Computing the Distance between Two
Finite Element Solutions Defined on
Different $3$D Meshes on a GPU . . . . . C131--C155
Dante Kalise and
Karl Kunisch Polynomial Approximation of
High-Dimensional
Hamilton--Jacobi--Bellman Equations and
Applications to Feedback Control of
Semilinear Parabolic PDEs . . . . . . . A629--A652
J. Quer and
L. Donati and
B. G. Keller and
M. Weber An Automatic Adaptive Importance
Sampling Algorithm for Molecular
Dynamics in Reaction Coordinates . . . . A653--A670
Shi Jin and
Hanqing Lu and
Lorenzo Pareschi Efficient Stochastic
Asymptotic-Preserving Implicit-Explicit
Methods for Transport Equations with
Diffusive Scalings and Random Inputs . . A671--A696
Toni Karvonen and
Simo Särkkä Fully Symmetric Kernel Quadrature . . . A697--A720
Evan S. Gawlik and
Melvin Leok Embedding-Based Interpolation on the
Special Orthogonal Group . . . . . . . . A721--A746
Juan Manzanero and
Gonzalo Rubio and
Esteban Ferrer and
Eusebio Valero Dispersion-Dissipation Analysis for
Advection Problems with Nonconstant
Coefficients: Applications to
Discontinuous Galerkin Formulations . . A747--A768
Jessica Cervi and
Raymond J. Spiteri High-Order Operator Splitting for the
Bidomain and Monodomain Models . . . . . A769--A786
Sebastiano Boscarino and
Jing-Mei Qiu and
Giovanni Russo Implicit-Explicit Integral Deferred
Correction Methods for Stiff Problems A787--A816
Erin Carson and
Nicholas J. Higham Accelerating the Solution of Linear
Systems by Iterative Refinement in Three
Precisions . . . . . . . . . . . . . . . A817--A847
Boris Kramer and
Alex A. Gorodetsky System Identification via CUR-Factored
Hankel Approximation . . . . . . . . . . A848--A866
Elias D. Nino-Ruiz and
Adrian Sandu and
Xinwei Deng An Ensemble Kalman Filter Implementation
Based on Modified Cholesky Decomposition
for Inverse Covariance Matrix Estimation A867--A886
Ajay Jasra and
Kengo Kamatani and
Kody Law and
Yan Zhou Bayesian Static Parameter Estimation for
Partially Observed Diffusions via
Multilevel Monte Carlo . . . . . . . . . A887--A902
Jun Zhu and
Jianxian Qiu New Finite Volume Weighted Essentially
Nonoscillatory Schemes on Triangular
Meshes . . . . . . . . . . . . . . . . . A903--A928
Weizhu Bao and
Chunmei Su A Uniformly and Optimally Accurate
Method for the Zakharov System in the
Subsonic Limit Regime . . . . . . . . . A929--A953
Niccol\`o Dal Santo and
Simone Deparis and
Andrea Manzoni and
Alfio Quarteroni Multi Space Reduced Basis
Preconditioners for Large-Scale
Parametrized PDEs . . . . . . . . . . . A954--A983
T. Butler and
J. Jakeman and
T. Wildey Combining Push-Forward Measures and
Bayes' Rule to Construct Consistent
Solutions to Stochastic Inverse Problems A984--A1011
Eleanor McDonald and
Jennifer Pestana and
Andy Wathen Preconditioning and Iterative Solution
of All-at-Once Systems for Evolutionary
Partial Differential Equations . . . . . A1012--A1033
Peter Benner and
Venera Khoromskaia and
Boris N. Khoromskij Range-Separated Tensor Format for
Many-Particle Modeling . . . . . . . . . A1034--A1062
Florent Chave and
Daniele A. Di Pietro and
Luca Formaggia A Hybrid High-Order Method for Darcy
Flows in Fractured Porous Media . . . . A1063--A1094
Wansheng Wang and
Ting Rao and
Weiwei Shen and
Peng Zhong A Posteriori Error Analysis for
Crank--Nicolson--Galerkin Type Methods
for Reaction-Diffusion Equations with
Delay . . . . . . . . . . . . . . . . . A1095--A1120
Andrew T. T. McRae and
Colin J. Cotter and
Chris J. Budd Optimal-Transport-Based Mesh Adaptivity
on the Plane and Sphere Using Finite
Elements . . . . . . . . . . . . . . . . A1121--A1148
M. V. Rakhuba and
I. V. Oseledets Jacobi--Davidson Method on Low-Rank
Matrix Manifolds . . . . . . . . . . . . A1149--A1170
Lulu Liu and
David E. Keyes and
Rolf Krause A Note on Adaptive Nonlinear
Preconditioning Techniques . . . . . . . A1171--A1186
A. T. Barker and
V. Dobrev and
J. Gopalakrishnan and
T. Kolev A Scalable Preconditioner for a Primal
Discontinuous Petrov--Galerkin Method A1187--A1203
Roland Griesmaier and
Rohit Kumar Mishra and
Christian Schmiedecke Inverse Source Problems for Maxwell's
Equations and the Windowed Fourier
Transform . . . . . . . . . . . . . . . A1204--A1223
Matthias Morzfeld and
Marcus S. Day and
Ray W. Grout and
George Shu Heng Pau and
Stefan A. Finsterle and
John B. Bell Iterative Importance Sampling Algorithms
for Parameter Estimation . . . . . . . . B329--B352
Ivi C. Tsantili and
Min Hyung Cho and
Wei Cai and
George Em Karniadakis A Computational Stochastic Methodology
for the Design of Random Meta-materials
under Geometric Constraints . . . . . . B353--B378
Fei Liu and
Lexing Ying Sparsify and Sweep: an Efficient
Preconditioner for the
Lippmann--Schwinger Equation . . . . . . B379--B404
Stephan Schmidt and
Maria Schütte and
Andrea Walther Efficient Numerical Solution of
Geometric Inverse Problems Involving
Maxwell's Equations Using Shape
Derivatives and Automatic Code
Generation . . . . . . . . . . . . . . . B405--B428
Elsa Cazelles and
Vivien Seguy and
Jérémie Bigot and
Marco Cuturi and
Nicolas Papadakis Geodesic PCA versus Log-PCA of
Histograms in the Wasserstein Space . . B429--B456
Ionut-Gabriel Farcas and
Benjamin Uekermann and
Tobias Neckel and
Hans-Joachim Bungartz Nonintrusive Uncertainty Analysis of
Fluid-Structure Interaction with
Spatially Adaptive Sparse Grids and
Polynomial Chaos Expansion . . . . . . . B457--B482
C. Kristopher Garrett and
Cory D. Hauck A Fast Solver for Implicit Integration
of the Vlasov--Poisson System in the
Eulerian Framework . . . . . . . . . . . B483--B506
Tiantian Liu and
Minxin Chen and
Benzhuo Lu Efficient and Qualified Mesh Generation
for Gaussian Molecular Surface Using
Adaptive Partition and Piecewise
Polynomial Approximation . . . . . . . . B507--B527
Yuezheng Gong and
Jia Zhao and
Qi Wang Second Order Fully Discrete Energy
Stable Methods on Staggered Grids for
Hydrodynamic Phase Field Models of
Binary Viscous Fluids . . . . . . . . . B528--B553
Martin P. Neuenhofen and
Chen Greif Mstab: Stabilized Induced Dimension
Reduction for Krylov Subspace Recycling B554--B571
I. V. Gosea and
M. Petreczky and
A. C. Antoulas Data-Driven Model Order Reduction of
Linear Switched Systems in the Loewner
Framework . . . . . . . . . . . . . . . B572--B610
Tommaso Taddei and
Anthony T. Patera A Localization Strategy for Data
Assimilation; Application to State
Estimation and Parameter Estimation . . B611--B636
Raimund Bürger and
Sudarshan Kumar Kenettinkara and
Ricardo Ruiz Baier and
Hector Torres Coupling of Discontinuous Galerkin
Schemes for Viscous Flow in Porous Media
with Adsorption . . . . . . . . . . . . B637--B662
Björn Adlerborn and
Lars Karlsson and
Bo Kågström Distributed One-Stage
Hessenberg-Triangular Reduction with
Wavefront Scheduling . . . . . . . . . . C157--C180
Laura Grigori and
Sebastien Cayrols and
James W. Demmel Low Rank Approximation of a Sparse
Matrix Based on LU Factorization with
Column and Row Tournament Pivoting . . . C181--C209
Stephan Schmidt Weak and Strong Form Shape Hessians and
Their Automatic Generation . . . . . . . C210--C233
Shawn W. Walker FELICITY: a Matlab/C++ Toolbox for
Developing Finite Element Methods and
Simulation Modeling . . . . . . . . . . C234--C257
A. P. Harrison and
D. Joseph High Performance Rearrangement and
Multiplication Routines for Sparse
Tensor Arithmetic . . . . . . . . . . . C258--C281
Ludvig af Klinteberg and
Anna-Karin Tornberg Adaptive Quadrature by Expansion for
Layer Potential Evaluation in Two
Dimensions . . . . . . . . . . . . . . . A1225--A1249
Samira Nikkar and
Jan Nordström Summation-by-Parts Operators for
Non-Simply Connected Domains . . . . . . A1250--A1273
Jun Wang and
Leslie Greengard An Adaptive Fast Gauss Transform in Two
Dimensions . . . . . . . . . . . . . . . A1274--A1300
Zhe Feng and
Jinglai Li An Adaptive Independence Sampler MCMC
Algorithm for Bayesian Inferences of
Functions . . . . . . . . . . . . . . . A1301--A1321
J. Reiss and
P. Schulze and
J. Sesterhenn and
V. Mehrmann The Shifted Proper Orthogonal
Decomposition: a Mode Decomposition for
Multiple Transport Phenomena . . . . . . A1322--A1344
Fuhui Fang and
Jingfang Huang and
Gary Huber and
J. Andrew McCammon and
Bo Zhang Hierarchical Orthogonal Matrix
Generation and Matrix--Vector
Multiplications in Rigid Body
Simulations . . . . . . . . . . . . . . A1345--A1361
Xin He and
Cornelis Vuik and
Christiaan M. Klaij Combining the Augmented Lagrangian
Preconditioner with the Simple Schur
Complement Approximation . . . . . . . . A1362--A1385
Tom Gustafsson and
Rolf Stenberg and
Juha Videman A Posteriori Estimates for Conforming
Kirchhoff Plate Elements . . . . . . . . A1386--A1407
W. Hundsdorfer and
K. J. in't Hout On Multistep Stabilizing Correction
Splitting Methods with Applications to
the Heston Model . . . . . . . . . . . . A1408--A1429
Qiang Du and
Houde Han and
Jiwei Zhang and
Chunxiong Zheng Numerical Solution of a Two-Dimensional
Nonlocal Wave Equation on Unbounded
Domains . . . . . . . . . . . . . . . . A1430--A1445
Shu-Lin Wu Toward Parallel Coarse Grid Correction
for the Parareal Algorithm . . . . . . . A1446--A1472
James Brannick and
Fei Cao and
Karsten Kahl and
Robert D. Falgout and
Xiaozhe Hu Optimal Interpolation and Compatible
Relaxation in Classical Algebraic
Multigrid . . . . . . . . . . . . . . . A1473--A1493
Yuji Nakatsukasa and
Olivier S\`ete and
Lloyd N. Trefethen The AAA Algorithm for Rational
Approximation . . . . . . . . . . . . . A1494--A1522
Shucheng Pan and
Xiangyu Hu and
Nikolaus A. Adams A Consistent Analytical Formulation for
Volume Estimation of Geometries Enclosed
by Implicitly Defined Surfaces . . . . . A1523--A1543
Francesc Pons Llopis and
Nikolas Kantas and
Alexandros Beskos and
Ajay Jasra Particle Filtering for Stochastic
Navier--Stokes Signal Observed with
Linear Additive Noise . . . . . . . . . A1544--A1565
Jeffrey M. Hokanson and
Paul G. Constantine Data-Driven Polynomial Ridge
Approximation Using Variable Projection A1566--A1589
Krzysztof Domino and
Piotr Gawron and
Lukasz Pawela Efficient Computation of Higher-Order
Cumulant Tensors . . . . . . . . . . . . A1590--A1610
Manuel Baumann and
Peter Benner and
Jan Heiland Space-Time Galerkin POD with Application
in Optimal Control of Semilinear Partial
Differential Equations . . . . . . . . . A1611--A1641
M. Bolten and
H. Rittich Fourier Analysis of Periodic Stencils in
Multigrid Methods . . . . . . . . . . . A1642--A1668
Saviz Mowlavi and
Themistoklis P. Sapsis Model Order Reduction for Stochastic
Dynamical Systems with Continuous
Symmetries . . . . . . . . . . . . . . . A1669--A1695
Awad H. Al-Mohy A Truncated Taylor Series Algorithm for
Computing the Action of Trigonometric
and Hyperbolic Matrix Functions . . . . A1696--A1713
Christophe Gomez and
Olivier Pinaud Monte Carlo Methods for Radiative
Transfer with Singular Kernels . . . . . A1714--A1741
Daria A. Sushnikova and
Ivan V. Oseledets ``Compress and Eliminate'' Solver for
Symmetric Positive Definite Sparse
Matrices . . . . . . . . . . . . . . . . A1742--A1762
Chung-Ki Cho and
Byungjoon Lee and
Seongjai Kim Dual-Mesh Characteristics for
Particle-Mesh Methods for the Simulation
of Convection-Dominated Flows . . . . . A1763--A1783
R. Borsche and
A. Klar Kinetic Layers and Coupling Conditions
for Macroscopic Equations on Networks I:
The Wave Equation . . . . . . . . . . . A1784--A1808
Fei Xue A Block Preconditioned Harmonic
Projection Method for Large-Scale
Nonlinear Eigenvalue Problems . . . . . A1809--A1835
Marica Pelanti Wave Structure Similarity of the HLLC
and Roe Riemann Solvers: Application to
Low Mach Number Preconditioning . . . . A1836--A1859
H. V. R. Mittal and
Rajendra K. Ray Solving Immersed Interface Problems
Using a New Interfacial Points-Based
Finite Difference Approach . . . . . . . A1860--A1883
Ron Estrin and
Chen Greif SPMR: a Family of Saddle-Point Minimum
Residual Solvers . . . . . . . . . . . . A1884--A1914
Jeffrey S. Ovall and
Samuel E. Reynolds A High-Order Method for Evaluating
Derivatives of Harmonic Functions in
Planar Domains . . . . . . . . . . . . . A1915--A1935
Ali Abdi and
Seyyed Ahmad Hosseini The Barycentric Rational
Difference-Quadrature Scheme for Systems
of Volterra Integro-differential
Equations . . . . . . . . . . . . . . . A1936--A1960
Nuutti Hyvönen and
Lauri Mustonen Thermal Tomography with Unknown Boundary B663--B683
Gijs L. Kooij and
Mike A. Botchev and
Bernard J. Geurts An Exponential Time Integrator for the
Incompressible Navier--Stokes Equation B684--B705
Zhenning Cai and
Jianfeng Lu A Quantum Kinetic Monte Carlo Method for
Quantum Many-Body Spin Dynamics . . . . B706--B722
Edward G. Phillips and
John N. Shadid and
Eric C. Cyr Scalable Preconditioners for Structure
Preserving Discretizations of Maxwell
Equations in First Order Form . . . . . B723--B742
Jean-Frédéric Gerbeau and
Damiano Lombardi and
Eliott Tixier A Moment-Matching Method to Study the
Variability of Phenomena Described by
Partial Differential Equations . . . . . B743--B765
Kevin T. Joyce and
Johnathan M. Bardsley and
Aaron Luttman Point Spread Function Estimation in
X-Ray Imaging with Partially Collapsed
Gibbs Sampling . . . . . . . . . . . . . B766--B787
Georgios Arampatzis and
Daniel Wälchli and
Panagiotis Angelikopoulos and
Stephen Wu and
Panagiotis Hadjidoukas and
Petros Koumoutsakos Langevin Diffusion for Population Based
Sampling with an Application in Bayesian
Inference for Pharmacodynamics . . . . . B788--B811
C. Ponce and
D. S. Bindel and
P. S. Vassilevski A Nonlinear Algebraic Multigrid
Framework for the Power Flow Equations B812--B833
X. Xie and
M. Mohebujjaman and
L. G. Rebholz and
T. Iliescu Data-Driven Filtered Reduced Order
Modeling of Fluid Flows . . . . . . . . B834--B857
Lars König and
Jan Rühaak and
Alexander Derksen and
Jan Lellmann A Matrix-Free Approach to Parallel and
Memory-Efficient Deformable Image
Registration . . . . . . . . . . . . . . B858--B888
Xiaofeng Yang and
Haijun Yu Efficient Second Order Unconditionally
Stable Schemes for a Phase Field Moving
Contact Line Model Using an Invariant
Energy Quadratization Approach . . . . . B889--B914
Bo Zhang and
Ruming Zhang An FFT-based Algorithm for Efficient
Computation of Green's Functions for the
Helmholtz and Maxwell's Equations in
Periodic Domains . . . . . . . . . . . . B915--B941
Leonardo Zepeda-Núñez and
Laurent Demanet Nested Domain Decomposition with
Polarized Traces for the $2$D Helmholtz
Equation . . . . . . . . . . . . . . . . B942--B981
Arthur Bousquet and
Xiaozhe Hu and
Maximilian S. Metti and
Jinchao Xu Newton Solvers for Drift-Diffusion and
Electrokinetic Equations . . . . . . . . B982--B1006
Robert Dyja and
Baskar Ganapathysubramanian and
Kristoffer G. van der Zee Parallel-In-Space-Time, Adaptive Finite
Element Framework for Nonlinear
Parabolic Equations . . . . . . . . . . C283--C304
Jianyu Huang and
Devin A. Matthews and
Robert A. van de Geijn Strassen's Algorithm for Tensor
Contraction . . . . . . . . . . . . . . C305--C326
Paul Houston and
Nathan Sime Automatic Symbolic Computation for
Discontinuous Galerkin Finite Element
Methods . . . . . . . . . . . . . . . . C327--C357
Florian Schornbaum and
Ulrich Rüde Extreme-Scale Block-Structured Adaptive
Mesh Refinement . . . . . . . . . . . . C358--C387
Martin Neumüller and
Andreas Thalhammer A Fully Parallelizable Space-Time
Multilevel Monte Carlo Method for
Stochastic Differential Equations with
Additive Noise . . . . . . . . . . . . . C388--C400
Miklós Homolya and
Lawrence Mitchell and
Fabio Luporini and
David A. Ham TSFC: a Structure-Preserving Form
Compiler . . . . . . . . . . . . . . . . C401--C428
Montacer Essid and
Justin Solomon Quadratically Regularized Optimal
Transport on Graphs . . . . . . . . . . A1961--A1986
James Hook and
Jennifer Scott and
Françoise Tisseur and
Jonathan Hogg A Max-Plus Approach to Incomplete
Cholesky Factorization Preconditioners A1987--A2004
Lei-Hong Zhang and
Chungen Shen A Nested Lanczos Method for the
Trust-Region Subproblem . . . . . . . . A2005--A2032
Vahid Keshavarzzadeh and
Robert M. Kirby and
Akil Narayan Numerical Integration in Multiple
Dimensions with Designed Quadrature . . A2033--A2061
Jian Huang and
Yuling Jiao and
Xiliang Lu and
Liping Zhu Robust Decoding from $1$-Bit Compressive
Sampling with Ordinary and Regularized
Least Squares . . . . . . . . . . . . . A2062--A2086
Hao Wang and
Mingjie Liao and
Ping Lin and
Lei Zhang A Posteriori Error Estimation and
Adaptive Algorithm for
Atomistic/Continuum Coupling in Two
Dimensions . . . . . . . . . . . . . . . A2087--A2119
Andreas Buhr and
Kathrin Smetana Randomized Local Model Order Reduction A2120--A2151
Dongkun Zhang and
Hessam Babaee and
George Em Karniadakis Stochastic Domain Decomposition via
Moment Minimization . . . . . . . . . . A2152--A2173
Xiaojun Chen and
C. T. Kelley and
Fengmin Xu and
Zaikun Zhang A Smoothing Direct Search Method for
Monte Carlo-Based Bound Constrained
Composite Nonsmooth Optimization . . . . A2174--A2199
Alejandro Allendes and
Enrique Otárola and
Richard Rankin A Posteriori Error Estimation for a
PDE-Constrained Optimization Problem
Involving the Generalized Oseen
Equations . . . . . . . . . . . . . . . A2200--A2233
Geoffrey Dillon and
Vassilis Kalantzis and
Yuanzhe Xi and
Yousef Saad A Hierarchical Low Rank Schur Complement
Preconditioner for Indefinite Linear
Systems . . . . . . . . . . . . . . . . A2234--A2252
Zlatko Drmac and
Igor Mezi\'c and
Ryan Mohr Data Driven Modal Decompositions:
Analysis and Enhancements . . . . . . . A2253--A2285
Ruming Zhang A High Order Numerical Method for
Scattering from Locally Perturbed
Periodic Surfaces . . . . . . . . . . . A2286--A2314
Jeremie Houssineau and
Ajay Jasra and
Sumeetpal S. Singh Multilevel Monte Carlo for Smoothing via
Transport Methods . . . . . . . . . . . A2315--A2335
Kuan Xu and
Ana F. Loureiro Spectral Approximation of Convolution
Operators . . . . . . . . . . . . . . . A2336--A2355
Alberto Paganini and
Florian Wechsung and
Patrick E. Farrell Higher-Order Moving Mesh Methods for
PDE-Constrained Shape Optimization . . . A2356--A2382
Mark Ainsworth and
Christian Glusa Hybrid Finite Element--Spectral Method
for the Fractional Laplacian:
Approximation Theory and Efficient
Solver . . . . . . . . . . . . . . . . . A2383--A2405
Axel Målqvist and
Anna Persson and
Tony Stillfjord Multiscale Differential Riccati
Equations for Linear Quadratic Regulator
Problems . . . . . . . . . . . . . . . . A2406--A2426
Silviu-Ioan Filip and
Yuji Nakatsukasa and
Lloyd N. Trefethen and
Bernhard Beckermann Rational Minimax Approximation via
Adaptive Barycentric Representations . . A2427--A2455
Nicholas Hale and
Sheehan Olver A Fast and Spectrally Convergent
Algorithm for Rational-Order Fractional
Integral and Differential Equations . . A2456--A2491
Maxim A. Olshanskii and
Annalisa Quaini and
Arnold Reusken and
Vladimir Yushutin A Finite Element Method for the Surface
Stokes Problem . . . . . . . . . . . . . A2492--A2518
Jehanzeb H. Chaudhry A Posteriori Analysis and Efficient
Refinement Strategies for the
Poisson--Boltzmann Equation . . . . . . A2519--A2542
Lina Zhao and
Eun-Jae Park A Staggered Discontinuous Galerkin
Method of Minimal Dimension on
Quadrilateral and Polygonal Meshes . . . A2543--A2567
Nicholas D. Brubaker A Continuation Method for Computing
Constant Mean Curvature Surfaces with
Boundary . . . . . . . . . . . . . . . . A2568--A2583
Varun Shankar and
Robert M. Kirby and
Aaron L. Fogelson Robust Node Generation for Mesh-free
Discretizations on Irregular Domains and
Surfaces . . . . . . . . . . . . . . . . A2584--A2608
Johan Helsing and
Shidong Jiang On Integral Equation Methods for the
First Dirichlet Problem of the
Biharmonic and Modified Biharmonic
Equations in NonSmooth Domains . . . . . A2609--A2630
Andrew J. Christlieb and
Xiao Feng and
Yan Jiang and
Qi Tang A High-Order Finite Difference WENO
Scheme for Ideal Magnetohydrodynamics on
Curvilinear Meshes . . . . . . . . . . . A2631--A2666
Howard C. Elman and
David J. Silvester Collocation Methods for Exploring
Perturbations in Linear Stability
Analysis . . . . . . . . . . . . . . . . A2667--A2693
Mark S. Gockenbach and
Elaheh Gorgin On the Convergence of a Heuristic
Parameter Choice Rule for Tikhonov
Regularization . . . . . . . . . . . . . A2694--A2719
Yat Tin Chow and
Kazufumi Ito and
Jun Zou A Time-Dependent Direct Sampling Method
for Recovering Moving Potentials in a
Heat Equation . . . . . . . . . . . . . A2720--A2748
Yuanzhe Xi and
Ruipeng Li and
Yousef Saad Fast Computation of Spectral Densities
for Generalized Eigenvalue Problems . . A2749--A2773
Reiichiro Kawai Optimizing Adaptive Importance Sampling
by Stochastic Approximation . . . . . . A2774--A2800
Josef A. Sifuentes and
Shari Moskow Preconditioning Methods for Thin
Scattering Structures Based on
Asymptotic Results . . . . . . . . . . . B1007--B1019
Daniel Anderson and
Jérôme Droniou An Arbitrary-Order Scheme on Generic
Meshes for Miscible Displacements in
Porous Media . . . . . . . . . . . . . . B1020--B1054
Maria Strazzullo and
Francesco Ballarin and
Renzo Mosetti and
Gianluigi Rozza Model Reduction for Parametrized Optimal
Control Problems in Environmental Marine
Sciences and Engineering . . . . . . . . B1055--B1079
Lars Ruthotto and
Julianne Chung and
Matthias Chung Optimal Experimental Design for Inverse
Problems with State Constraints . . . . B1080--B1100
Pengliang Yang and
Romain Brossier and
Ludovic Métivier and
Jean Virieux and
Wei Zhou A Time-Domain Preconditioned Truncated
Newton Approach to Visco-acoustic
Multiparameter Full Waveform Inversion B1101--B1130
Samaneh Khodayari-Samghabadi and
Sayed Hodjatollah Momeni-Masuleh Implicit-Modal Discontinuous Galerkin
Scheme for Two-Phase Flow with
Discontinuous Capillary Pressure . . . . B1131--B1160
Marylesa Howard and
Margaret C. Hock and
B. T. Meehan and
Leora E. Dresselhaus-Cooper A Locally Adapting Technique for Edge
Detection using Image Segmentation . . . B1161--B1179
Yingwei Wang and
Wenrui Hao and
Guang Lin Two-Level Spectral Methods for Nonlinear
Elliptic Equations with Multiple
Solutions . . . . . . . . . . . . . . . B1180--B1205
Meng Zhao and
Xiaofan Li and
Wenjun Ying and
Andrew Belmonte and
John Lowengrub and
Shuwang Li Computation of a Shrinking Interface in
a Hele--Shaw Cell . . . . . . . . . . . B1206--B1228
Felix Gremse and
Kerstin Küpper and
Uwe Naumann Memory-Efficient Sparse Matrix--Matrix
Multiplication by Row Merging on
Many-Core Architectures . . . . . . . . C429--C449
Gerald Collom and
Colin Redman and
Robert W. Robey Fast Mesh-to-Mesh Remaps Using Hash
Algorithms . . . . . . . . . . . . . . . C450--C476
Vassilis Kalantzis and
Yuanzhe Xi and
Yousef Saad Beyond Automated Multilevel
Substructuring: Domain Decomposition
with Rational Filtering . . . . . . . . C477--C502
Hartwig Anzt and
Edmond Chow and
Jack Dongarra ParILUT --- A New Parallel Threshold $ I
L U $ Factorization . . . . . . . . . . C503--C519
Andres A. Contreras and
Paul Mycek and
Olivier P. Le Ma\^\itre and
Francesco Rizzi and
Bert Debusschere and
Omar M. Knio Parallel Domain Decomposition Strategies
for Stochastic Elliptic Equations. Part
A: Local Karhunen--Lo\`eve
Representations . . . . . . . . . . . . C520--C546
Andres A. Contreras and
Paul Mycek and
Olivier P. Le Ma\^\itre and
Francesco Rizzi and
Bert Debusschere and
Omar M. Knio Parallel Domain Decomposition Strategies
for Stochastic Elliptic Equations. Part
B: Accelerated Monte Carlo Sampling with
Local PC Expansions . . . . . . . . . . C547--C580
Andrew Reisner and
Luke N. Olson and
J. David Moulton Scaling Structured Multigrid to 500K+
Cores Through Coarse-Grid Redistribution C581--C604
Nela Bosner and
Zvonimir Bujanovi\'c and
Zlatko Drmac Parallel Solver for Shifted Systems in a
Hybrid CPU--GPU Framework . . . . . . . C605--C633
Byron E. Moutafis and
Christos K. Filelis-Papadopoulos and
George A. Gravvanis Parallel Schur Complement Techniques
Based on Multiprojection Methods . . . . C634--C654
Pieter Lietaert and
Karl Meerbergen and
Françoise Tisseur Compact Two-Sided Krylov Methods for
Nonlinear Eigenvalue Problems . . . . . A2801--A2829
S. Geevers and
W. A. Mulder and
J. J. W. van der Vegt New Higher-Order Mass-Lumped Tetrahedral
Elements for Wave Propagation Modelling A2830--A2857
Zhenning Cai and
Yuwei Fan and
Lexing Ying An Entropic Fourier Method for the
Boltzmann Equation . . . . . . . . . . . A2858--A2882
Michael M. Crockatt and
Andrew J. Christlieb Low-Storage Integral Deferred Correction
Methods for Scientific Computing . . . . A2883--A2904
S. González-Pinto and
E. Hairer and
D. Hernández-Abreu and
S. Pérez-Rodríguez AMF-type $W$-methods for Parabolic
Problems with Mixed Derivatives . . . . A2905--A2929
Amina Benaceur and
Virginie Ehrlacher and
Alexandre Ern and
Sébastien Meunier A Progressive Reduced Basis/Empirical
Interpolation Method for Nonlinear
Parabolic Problems . . . . . . . . . . . A2930--A2955
Alen Alexanderian and
Arvind K. Saibaba Efficient $D$-Optimal Design of
Experiments for Infinite-Dimensional
Bayesian Linear Inverse Problems . . . . A2956--A2985
Fanhai Zeng and
Ian Turner and
Kevin Burrage and
George Em Karniadakis A New Class of Semi-Implicit Methods
with Linear Complexity for Nonlinear
Fractional Differential Equations . . . A2986--A3011
Shishun Li and
Xinping Shao and
Xiao-Chuan Cai Multilevel Space-Time Additive Schwarz
Methods for Parabolic Equations . . . . A3012--A3037
Tigran T. Tchrakian and
Sergiy Zhuk A Fast Distributed Data-Assimilation
Algorithm for Divergence-Free Advection A3038--A3066
Vahan Huroyan and
Gilad Lerman Distributed Robust Subspace Recovery . . A3067--A3090
Junyu Zhang and
Haoyang Liu and
Zaiwen Wen and
Shuzhong Zhang A Sparse Completely Positive Relaxation
of the Modularity Maximization for
Community Detection . . . . . . . . . . A3091--A3120
Hangrui Yue and
Qingzhi Yang and
Xiangfeng Wang and
Xiaoming Yuan Implementing the Alternating Direction
Method of Multipliers for Big Datasets:
a Case Study of Least Absolute Shrinkage
and Selection Operator . . . . . . . . . A3121--A3156
N. C. Nguyen and
P. Fernandez and
R. M. Freund and
J. Peraire Accelerated Residual Methods for the
Iterative Solution of Systems of
Equations . . . . . . . . . . . . . . . A3157--A3179
S. Bonettini and
S. Rebegoldi and
V. Ruggiero Inertial Variable Metric Techniques for
the Inexact Forward--Backward Algorithm A3180--A3210
Jean-Luc Guermond and
Murtazo Nazarov and
Bojan Popov and
Ignacio Tomas Second-Order Invariant Domain Preserving
Approximation of the Euler Equations
Using Convex Limiting . . . . . . . . . A3211--A3239
Alexander D. Gilbert and
Frances Y. Kuo and
Dirk Nuyens and
Grzegorz W. Wasilkowski Efficient Implementations of the
Multivariate Decomposition Method for
Approximating Infinite-Variate Integrals A3240--A3266
Christian Himpe and
Tobias Leibner and
Stephan Rave Hierarchical Approximate Proper
Orthogonal Decomposition . . . . . . . . A3267--A3292
Wang Kong and
Zhongyi Huang Asymptotic Analysis and Numerical Method
for Singularly Perturbed Eigenvalue
Problems . . . . . . . . . . . . . . . . A3293--A3321
Xu Guo and
Yutian Li and
Hong Wang A High Order Finite Difference Method
for Tempered Fractional Diffusion
Equations with Applications to the CGMY
Model . . . . . . . . . . . . . . . . . A3322--A3343
Minghao W. Rostami and
Fei Xue Robust Linear Stability Analysis and a
New Method for Computing the Action of
the Matrix Exponential . . . . . . . . . A3344--A3370
X. Wu and
K. G. van der Zee and
G. Simsek and
E. H. van Brummelen A Posteriori Error Estimation and
Adaptivity for Nonlinear Parabolic
Equations using IMEX--Galerkin
Discretization of Primal and Dual
Equations . . . . . . . . . . . . . . . A3371--A3399
Evgeny Tenetov and
Gershon Wolansky and
Ron Kimmel Fast Entropic Regularized Optimal
Transport Using Semidiscrete Cost
Approximation . . . . . . . . . . . . . A3400--A3422
Martin Kronbichler and
Wolfgang A. Wall A Performance Comparison of Continuous
and Discontinuous Galerkin Methods with
Fast Multigrid Solvers . . . . . . . . . A3423--A3448
Joscha Gedicke and
Arbaz Khan Arnold--Winther Mixed Finite Elements
for Stokes Eigenvalue Problems . . . . . A3449--A3469
Ronald B. Morgan and
Zhao Yang Two-Grid and Multiple-Grid Arnoldi for
Eigenvalues . . . . . . . . . . . . . . A3470--A3494
Zhaojun Bai and
Ding Lu and
Bart Vandereycken Robust Rayleigh Quotient Minimization
and Nonlinear Eigenvalue Problems . . . A3495--A3522
T. Butler and
J. Jakeman and
T. Wildey Convergence of Probability Densities
Using Approximate Models for Forward and
Inverse Problems in Uncertainty
Quantification . . . . . . . . . . . . . A3523--A3548
Erin C. Carson and
Miroslav Rozlozník and
Zdenek Strakos and
Petr Tichý and
Miroslav Tuma The Numerical Stability Analysis of
Pipelined Conjugate Gradient Methods:
Historical Context and Methodology . . . A3549--A3580
Davide Palitta and
Valeria Simoncini Numerical Methods for Large-Scale
Lyapunov Equations with Symmetric Banded
Data . . . . . . . . . . . . . . . . . . A3581--A3608
Peter Benner and
Tim Mitchell Faster and More Accurate Computation of
the $ \mathcal {H}_\infty $ Norm via
Optimization . . . . . . . . . . . . . . A3609--A3635
Bertrand Gauthier and
Johan A. K. Suykens Optimal Quadrature-Sparsification for
Integral Operator Approximation . . . . A3636--A3674
Ernest K. Ryu and
Yongxin Chen and
Wuchen Li and
Stanley Osher Vector and Matrix Optimal Mass
Transport: Theory, Algorithm, and
Applications . . . . . . . . . . . . . . A3675--A3698
Jiangguo Liu and
Simon Tavener and
Zhuoran Wang Lowest-Order Weak Galerkin Finite
Element Method for Darcy Flow on Convex
Polygonal Meshes . . . . . . . . . . . . B1229--B1252
Yihong Wang and
Wenjun Ying and
Min Tang Uniformly Convergent Scheme for Strongly
Anisotropic Diffusion Equations with
Closed Field Lines . . . . . . . . . . . B1253--B1276
Zhenning Cai and
Jianfeng Lu A Surface Hopping Gaussian Beam Method
for High-Dimensional Transport Systems B1277--B1301
Kailiang Wu and
Chi-Wang Shu A Provably Positive Discontinuous
Galerkin Method for Multidimensional
Ideal Magnetohydrodynamics . . . . . . . B1302--B1329
Lukas Einkemmer and
Christian Lubich A Low-Rank Projector-Splitting
Integrator for the Vlasov--Poisson
Equation . . . . . . . . . . . . . . . . B1330--B1360
Jonas Sukys and
Ursula Rasthofer and
Fabian Wermelinger and
Panagiotis Hadjidoukas and
Petros Koumoutsakos Multilevel Control Variates for
Uncertainty Quantification in
Simulations of Cloud Cavitation . . . . B1361--B1390
Stefano Giani $ H P $-Adaptive \bionameCelatus
Enriched Discontinuous Galerkin Method
for Second-Order Elliptic Source
Problems . . . . . . . . . . . . . . . . B1391--B1418
Aleksandr Y. Aravkin and
James V. Burke and
Gianluigi Pillonetto Generalized System Identification with
Stable Spline Kernels . . . . . . . . . B1419--B1443
Susanne Claus and
Samuel Bigot and
Pierre Kerfriden CutFEM Method for Stefan--Signorini
Problems with Application in Pulsed
Laser Ablation . . . . . . . . . . . . . B1444--B1469
Artur Safin and
Susan Minkoff and
John Zweck A Preconditioned Finite Element Solution
of the Coupled Pressure-Temperature
Equations Used to Model Trace Gas
Sensors . . . . . . . . . . . . . . . . B1470--B1493
Jed A. Duersch and
Meiyue Shao and
Chao Yang and
Ming Gu A Robust and Efficient Implementation of
LOBPCG . . . . . . . . . . . . . . . . . C655--C676
B. S. Wang and
W. S. Don and
Z. Gao and
Y. H. Wang and
X. Wen Hybrid Compact-WENO Finite Difference
Scheme with Radial Basis Function Based
Shock Detection Method for Hyperbolic
Conservation Laws . . . . . . . . . . . A3699--A3714
Matt Wala and
Andreas Klöckner Conformal Mapping via a Density
Correspondence for the Double-Layer
Potential . . . . . . . . . . . . . . . A3715--A3732
Leslie Greengard and
Shidong Jiang and
Yong Zhang The Anisotropic Truncated Kernel Method
for Convolution with Free-Space Green's
Functions . . . . . . . . . . . . . . . A3733--A3754
Qinghai Zhang Fourth- and Higher-order Interface
Tracking Via Mapping and Adjusting
Regular Semianalytic sets Represented by
Cubic Splines . . . . . . . . . . . . . A3755--A3788
Elena Celledoni and
Sòlve Eidnes and
Brynjulf Owren and
Torbjòrn Ringholm Dissipative Numerical Schemes on
Riemannian Manifolds with Applications
to Gradient Flows . . . . . . . . . . . A3789--A3806
José A. Iglesias and
Kevin Sturm and
Florian Wechsung Two-Dimensional Shape Optimization with
Nearly Conformal Transformations . . . . A3807--A3830
Kim Ngan Le and
William McLean and
Kassem Mustapha A Semidiscrete Finite Element
Approximation of a Time-Fractional
Fokker--Planck Equation with NonSmooth
Initial Data . . . . . . . . . . . . . . A3831--A3852
Martin Alkämper and
Fernando Gaspoz and
Robert Klöfkorn A Weak Compatibility Condition for
Newest Vertex Bisection in Any Dimension A3853--A3872
Jean-Luc Guermond and
Manuel Quezada de Luna and
Bojan Popov and
Christopher E. Kees and
Matthew W. Farthing Well-Balanced Second-Order Finite
Element Approximation of the Shallow
Water Equations with Friction . . . . . A3873--A3901
Daniel Appelö and
Thomas Hagstrom and
Arturo Vargas Hermite Methods for the Scalar Wave
Equation . . . . . . . . . . . . . . . . A3902--A3927
Karsten Kahl and
Matthias Rottmann Least Angle Regression Coarsening in
Bootstrap Algebraic Multigrid . . . . . A3928--A3954
C. Chalons and
R. Duvigneau and
C. Fiorini Sensitivity Analysis and Numerical
Diffusion Effects for Hyperbolic PDE
Systems with Discontinuous Solutions.
The Case of Barotropic Euler Equations
in Lagrangian Coordinates . . . . . . . A3955--A3981
Qing Cheng and
Jie Shen Multiple Scalar Auxiliary Variable
(MSAV) Approach and its Application to
the Phase-Field Vesicle Membrane Model A3982--A4006
Marco Donatelli and
Mariarosa Mazza and
Stefano Serra-Capizzano Spectral Analysis and Multigrid Methods
for Finite Volume Approximations of
Space-Fractional Diffusion Equations . . A4007--A4039
Noel Chalmers and
T. Warburton Low-Order Preconditioning of High-Order
Triangular Finite Elements . . . . . . . A4040--A4059
Prashanth Nadukandi and
Nicholas J. Higham Computing the Wave-Kernel Matrix
Functions . . . . . . . . . . . . . . . A4060--A4082
Buyang Li and
Jiwei Zhang and
Chunxiong Zheng Stability and Error Analysis for a
Second-Order Fast Approximation of the
One-dimensional Schrödinger Equation
Under Absorbing Boundary Conditions . . A4083--A4104
Thomas A. Manteuffel and
John Ruge and
Ben S. Southworth Nonsymmetric Algebraic Multigrid Based
on Local Approximate Ideal Restriction
($ \ell $AIR) . . . . . . . . . . . . . A4105--A4130
Yongfeng Li and
Zaiwen Wen and
Chao Yang and
Ya-xiang Yuan A SemiSmooth Newton Method for
Semidefinite Programs and its
Applications in Electronic Structure
Calculations . . . . . . . . . . . . . . A4131--A4157
Axel Kröner and
Eva Kröner and
Heiko Kröner Finite Element Approximation of Level
Set Motion by Powers of the Mean
Curvature . . . . . . . . . . . . . . . A4158--A4183
Donsub Rim Dimensional Splitting of Hyperbolic
Partial Differential Equations Using the
Radon Transform . . . . . . . . . . . . A4184--A4207
Qichen Hong and
Hehu Xie and
Fei Xu A Multilevel Correction Type of Adaptive
Finite Element Method for Eigenvalue
Problems . . . . . . . . . . . . . . . . A4208--A4235
T. Reis A Conservative Interface Sharpening
Lattice Boltzmann Model . . . . . . . . B1495--B1516
Afnan Al Marzouk and
Bela Erdelyi Collisional $N$-Body Numerical
Integrator with Applications to Charged
Particle Dynamics . . . . . . . . . . . B1517--B1540
Santiago Badia and
Alberto F. Martin and
Francesc Verdugo Mixed Aggregated Finite Element Methods
for the Unfitted Discretization of the
Stokes Problem . . . . . . . . . . . . . B1541--B1576
J. C. Cajas and
G. Houzeaux and
M. Vázquez and
M. García and
E. Casoni and
H. Calmet and
A. Artigues and
R. Borrell and
O. Lehmkuhl and
D. Pastrana and
D. J. Yáñez and
R. Pons and
J. Martorell Fluid-Structure Interaction Based on HPC
Multicode Coupling . . . . . . . . . . . C677--C703
Frédéric Magoul\`es and
Guillaume Gbikpi-Benissan Asynchronous Parareal Time
Discretization For Partial Differential
Equations . . . . . . . . . . . . . . . C704--C725
Fredrik Johansson and
Marc Mezzarobba Fast and Rigorous Arbitrary-Precision
Computation of Gauss--Legendre
Quadrature Nodes and Weights . . . . . . C726--C747
S. Bauer and
D. Drzisga and
M. Mohr and
U. Rüde and
C. Waluga and
B. Wohlmuth A Stencil Scaling Approach for
Accelerating Matrix-Free Finite Element
Implementations . . . . . . . . . . . . C748--C778
Justin Chang and
Maurice S. Fabien and
Matthew G. Knepley and
Richard T. Mills Comparative Study of Finite Element
Methods Using the
Time-Accuracy-Size(TAS) Spectrum
Analysis . . . . . . . . . . . . . . . . C779--C802
S. Schoeder and
K. Kormann and
W. A. Wall and
M. Kronbichler Efficient Explicit Time Stepping of High
Order Discontinuous Galerkin Schemes for
Waves . . . . . . . . . . . . . . . . . C803--C826
F. Sukru Torun and
Murat Manguoglu and
Cevdet Aykanat A Novel Partitioning Method for
Accelerating the Block Cimmino Algorithm C827--C850
Laurence Halpern and
Ludovic Métivier and
Jeffrey Rauch and
Juliette Ryan Nobody's Perfect; Matched Layers for
Heterogeneous Media . . . . . . . . . . A1--A25
Youngsoo Choi and
Kevin Carlberg Space--Time Least-Squares
Petrov--Galerkin Projection for
Nonlinear Model Reduction . . . . . . . A26--A58
Nicholas J. Higham and
Theo Mary A New Preconditioner that Exploits
Low-Rank Approximations to Factorization
Error . . . . . . . . . . . . . . . . . A59--A82
Seher Acer and
Enver Kayaaslan and
Cevdet Aykanat A Hypergraph Partitioning Model for
Profile Minimization . . . . . . . . . . A83--A108
Paola F. Antonietti and
Chiara Facciol\`a and
Alessandro Russo and
Marco Verani Discontinuous Galerkin Approximation of
Flows in Fractured Porous Media on
Polytopic Grids . . . . . . . . . . . . A109--A138
Slimane Adjerid and
Kihyo Moon An Immersed Discontinuous Galerkin
Method for Acoustic Wave Propagation in
Inhomogeneous Media . . . . . . . . . . A139--A162
Derek Driggs and
Stephen Becker and
Aleksandr Aravkin Adapting Regularized Low-Rank Models for
Parallel Architectures . . . . . . . . . A163--A189
Victor A. Paludetto Magri and
Andrea Franceschini and
Carlo Janna A Novel Algebraic Multigrid Approach
Based on Adaptive Smoothing and
Prolongation for Ill-Conditioned Systems A190--A219
Martin J. Gander and
Laurence Halpern and
Johann Rannou and
Juliette Ryan A Direct Time Parallel Solver by
Diagonalization for the Wave Equation A220--A245
Ben Adcock and
Anne Gelb and
Guohui Song and
Yi Sui Joint Sparse Recovery Based on Variances A246--A268
Patrick R. Amestoy and
Jean-Yves L'Excellent and
Gilles Moreau On Exploiting Sparsity of Multiple
Right-Hand Sides in Sparse Direct
Solvers . . . . . . . . . . . . . . . . A269--A291
P. Geldermans and
A. Gillman An Adaptive High Order Direct Solution
Technique for Elliptic Boundary Value
Problems . . . . . . . . . . . . . . . . A292--A315
Thierry A. Mara and
Marwan Fahs and
Qian Shao and
Anis Younes Random Sampling from Joint Probability
Distributions Defined in a Bayesian
Framework . . . . . . . . . . . . . . . A316--A338
Felix Kwok and
Benjamin W. Ong Schwarz Waveform Relaxation with
Adaptive Pipelining . . . . . . . . . . A339--A364
Xiaojun Chen and
C. T. Kelley Convergence of the EDIIS Algorithm for
Nonlinear Equations . . . . . . . . . . A365--A379
Matthias Bollhöfer and
Aryan Eftekhari and
Simon Scheidegger and
Olaf Schenk Large-scale Sparse Inverse Covariance
Matrix Estimation . . . . . . . . . . . A380--A401
Arbaz Khan and
Catherine E. Powell and
David J. Silvester Robust Preconditioning for Stochastic
Galerkin Formulations of
Parameter-Dependent Nearly
Incompressible Elasticity Equations . . A402--A421
Li Wang and
Bokai Yan An Asymptotic-Preserving Scheme for the
Kinetic Equation with Anisotropic
Scattering: Heavy Tail Equilibrium and
Degenerate Collision Frequency . . . . . A422--A451
Ryan Viertel and
Braxton Osting An Approach to Quad Meshing Based on
Harmonic Cross-Valued Maps and the
Ginzburg--Landau Theory . . . . . . . . A452--A479
Eugenio Aulisa and
Giacomo Capodaglio and
Guoyi Ke Construction of $H$-Refined Continuous
Finite Element Spaces with Arbitrary
Hanging Node Configurations and
Applications to Multigrid Algorithms . . A480--A507
Andrew Giuliani and
Lilia Krivodonova A Moment Limiter for the Discontinuous
Galerkin Method on Unstructured
Triangular Meshes . . . . . . . . . . . A508--A537
Alexander J. Howse and
Hans De Sterck and
Robert D. Falgout and
Scott MacLachlan and
Jacob Schroder Parallel-In-Time Multigrid with Adaptive
Spatial Coarsening for The Linear
Advection and Inviscid Burgers Equations A538--A565
Florin Dobrian and
Mahantesh Halappanavar and
Alex Pothen and
Ahmed Al-Herz A $ 2 / 3$-Approximation Algorithm for
Vertex Weighted Matching in Bipartite
Graphs . . . . . . . . . . . . . . . . . A566--A591
Julia Brunken and
Kathrin Smetana and
Karsten Urban (Parametrized) First Order Transport
Equations: Realization of Optimally
Stable Petrov--Galerkin Methods . . . . A592--A621
Yan Luo and
Zhu Wang A Multilevel Monte Carlo Ensemble Scheme
for Random Parabolic PDEs . . . . . . . A622--A642
Samuel Quaegebeur and
Sivakumaran Nadarajah and
Farshad Navah and
Philip Zwanenburg Stability of Energy Stable Flux
Reconstruction for the Diffusion Problem
Using Compact Numerical Fluxes . . . . . A643--A667
Amparo Gil and
Javier Segura and
Nico M. Temme Noniterative Computation of
Gauss--Jacobi Quadrature . . . . . . . . A668--A693
Zheng Liu and
Rongjie Lai and
Huayan Zhang and
Chunlin Wu Triangulated Surface Denoising using
High Order Regularization with Dynamic
Weights . . . . . . . . . . . . . . . . B1--B26
Gerhard Kitzler and
Joachim Schöberl A Polynomial Spectral Method for the
Spatially Homogeneous Boltzmann Equation B27--B49
Veselin Dobrev and
Patrick Knupp and
Tzanio Kolev and
Ketan Mittal and
Vladimir Tomov The Target-Matrix Optimization Paradigm
for High-Order Meshes . . . . . . . . . B50--B68
Douglas N. Arnold and
Guy David and
Marcel Filoche and
David Jerison and
Svitlana Mayboroda Computing Spectra without Solving
Eigenvalue Problems . . . . . . . . . . B69--B92
Yunlong Yu and
Xingding Chen and
Guangwei Yuan A Finite Volume Scheme Preserving
Maximum Principle for the System of
Radiation Diffusion Equations with
Three-Temperature . . . . . . . . . . . B93--B113
Jonathan Youett and
Oliver Sander and
Ralf Kornhuber A Globally Convergent
Filter-Trust-Region Method for Large
Deformation Contact Problems . . . . . . B114--B138
Meurig T. Gallagher and
Debajyoti Choudhuri and
David J. Smith Sharp Quadrature Error Bounds for the
Nearest-Neighbor Discretization of the
Regularized Stokeslet Boundary Integral
Equation . . . . . . . . . . . . . . . . B139--B152
Kathrin Glau and
Mirco Mahlstedt and
Christian Pötz A New Approach for American Option
Pricing: The Dynamic Chebyshev Method B153--B180
Anders Bernland and
Eddie Wadbro and
Martin Berggren Shape Optimization of a Compression
Driver Phase Plug . . . . . . . . . . . B181--B204
Aditya Devarakonda and
Kimon Fountoulakis and
James Demmel and
Michael W. Mahoney Avoiding Communication in Primal and
Dual Block Coordinate Descent Methods C1--C27
Martin Neumüller and
Iain Smears Time-Parallel Iterative Solvers for
Parabolic Evolution Equations . . . . . C28--C51
Bruno Lang Efficient Reduction of Banded Hermitian
Positive Definite Generalized Eigenvalue
Problems to Banded Standard Eigenvalue
Problems . . . . . . . . . . . . . . . . C52--C72
C. Klingenberg and
G. Puppo and
M. Semplice Arbitrary Order Finite Volume
Well-Balanced Schemes for the Euler
Equations with Gravity . . . . . . . . . A695--A721
J. J. Lee and
E. Piersanti and
K.-A. Mardal and
M. E. Rognes A Mixed Finite Element Method for Nearly
Incompressible Multiple-Network
Poroelasticity . . . . . . . . . . . . . A722--A747
Juan Kuntz and
Philipp Thomas and
Guy-Bart Stan and
Mauricio Barahona The Exit Time Finite State Projection
Scheme: Bounding Exit Distributions and
Occupation Measures of Continuous-Time
Markov Chains . . . . . . . . . . . . . A748--A769
Jean-Luc Guermond and
Peter Minev High-Order Adaptive Time Stepping for
the Incompressible Navier--Stokes
Equations . . . . . . . . . . . . . . . A770--A788
Nico Vervliet and
Otto Debals and
Lieven De Lathauwer Exploiting Efficient Representations in
Large-Scale Tensor Decompositions . . . A789--A815
Arash Sarshar and
Steven Roberts and
Adrian Sandu Design of High-Order Decoupled Multirate
GARK Schemes . . . . . . . . . . . . . . A816--A847
Daniel Kressner and
Stefano Massei and
Leonardo Robol Low-Rank Updates and a
Divide-And-Conquer Method for Linear
Matrix Equations . . . . . . . . . . . . A848--A876
Songting Luo Fast Huygens Sweeping Methods for
Time-Dependent Schrödinger Equation with
Perfectly Matched Layers . . . . . . . . A877--A899
Kathrin Smetana and
Olivier Zahm and
Anthony T. Patera Randomized Residual-Based Error
Estimators for Parametrized Equations A900--A926
Marina Fischer Fast and Parallel Runge--Kutta
Approximation of Fractional Evolution
Equations . . . . . . . . . . . . . . . A927--A947
Trygve Bærland and
Miroslav Kuchta and
Kent-Andre Mardal Multigrid Methods for Discrete
Fractional Sobolev Spaces . . . . . . . A948--A972
Jan Friedrich and
Oliver Kolb Maximum Principle Satisfying CWENO
Schemes for Nonlocal Conservation Laws A973--A988
Elias Jarlebring Broyden's Method for Nonlinear
Eigenproblems . . . . . . . . . . . . . A989--A1012
Lingfei Wu and
Fei Xue and
Andreas Stathopoulos TRPL+K: Thick-Restart Preconditioned
Lanczos+K Method for Large Symmetric
Eigenvalue Problems . . . . . . . . . . A1013--A1040
S. Geevers and
W. A. Mulder and
J. J. W. van der Vegt Efficient Quadrature Rules for Computing
the Stiffness Matrices of Mass-Lumped
Tetrahedral Elements for Linear Wave
Problems . . . . . . . . . . . . . . . . A1041--A1065
Matthew J. Colbrook and
Thanasis S. Fokas and
Parham Hashemzadeh A Hybrid Analytical-Numerical Technique
for Elliptic PDEs . . . . . . . . . . . A1066--A1090
Chupeng Ma and
Liqun Cao and
Yanping Lin Multiscale Algorithms and Computations
for the Time-Dependent
Maxwell--Schrödinger System in
Heterogeneous Nanostructures . . . . . . A1091--A1120
Scott Congreve and
Joscha Gedicke and
Ilaria Perugia Robust Adaptive $ h p $ Discontinuous
Galerkin Finite Element Methods for the
Helmholtz Equation . . . . . . . . . . . A1121--A1147
Martin J. Gander and
Yao-Lin Jiang and
Bo Song A Superlinear Convergence Estimate for
the Parareal Schwarz Waveform Relaxation
Algorithm . . . . . . . . . . . . . . . A1148--A1169
J. A. Mackenzie and
M. Nolan and
C. F. Rowlatt and
R. H. Insall An Adaptive Moving Mesh Method for
Forced Curve Shortening Flow . . . . . . A1170--A1200
Martin Almquist and
Siyang Wang and
Jonatan Werpers Order-Preserving Interpolation for
Summation-by-Parts Operators at
Nonconforming Grid Interfaces . . . . . A1201--A1227
Mircea Grigoriu PC Translation Models for Random Vectors
and Multivariate Extremes . . . . . . . A1228--A1251
Wei Leng and
Lili Ju An Additive Overlapping Domain
Decomposition Method for the Helmholtz
Equation . . . . . . . . . . . . . . . . A1252--A1277
Mark Ainsworth and
Ozan Tugluk and
Ben Whitney and
Scott Klasky Multilevel Techniques for Compression
and Reduction of Scientific Data --- The
Multivariate Case . . . . . . . . . . . A1278--A1303
Jan Glaubitz and
Anne Gelb High Order Edge Sensors with $ \ell^1 $
Regularization for Enhanced
Discontinuous Galerkin Methods . . . . . A1304--A1330
Kelsey L. DiPietro and
Alan E. Lindsay Adaptive Solution to Two-Dimensional
Partial Differential Equations in Curved
Domains Using the Monge--Ampére Equation A1331--A1356
Chang-Ock Lee and
Eun-Hee Park and
Jongho Park A Finite Element Approach for the Dual
Rudin--Osher--Fatemi Model and Its
Nonoverlapping Domain Decomposition
Methods . . . . . . . . . . . . . . . . B205--B228
Selin S. Aslan and
Eric de Sturler and
Misha E. Kilmer Randomized Approach to Nonlinear
Inversion Combining Random and Optimized
Simultaneous Sources and Detectors . . . B229--B249
Jie Du and
Cheng Wang and
Chengeng Qian and
Yang Yang High-Order Bound-Preserving
Discontinuous Galerkin Methods for Stiff
Multispecies Detonation . . . . . . . . B250--B273
Wangtao Lu and
Ya Yan Lu and
Dawei Song A Numerical Mode Matching Method for
Wave Scattering in a Layered Medium with
a Stratified Inhomogeneity . . . . . . . B274--B294
Ricardo H. Nochetto and
Dimitrios Ntogkas Convergent Two-Scale Filtered Scheme for
the Monge--Amp\`ere Equation . . . . . . B295--B319
Chaoyu Quan and
Benjamin Stamm and
Yvon Maday A Domain Decomposition Method for the
Poisson--Boltzmann Solvation Models . . B320--B350
Ludovic Boilevin-Kayl and
Miguel A. Fernández and
Jean-Frédéric Gerbeau A Loosely Coupled Scheme for Fictitious
Domain Approximations of Fluid-Structure
Interaction Problems with Immersed
Thin-Walled Structures . . . . . . . . . B351--B374
Martin J. Gander and
Iryna Kulchytska-Ruchka and
Innocent Niyonzima and
Sebastian Schöps A New Parareal Algorithm for Problems
with Discontinuous Sources . . . . . . . B375--B395
Ji Soo Ahn and
Michael J. Bluck Isogeometric Analysis of the
Steady-State Incompressible MHD
Equations . . . . . . . . . . . . . . . B396--B424
Maurice S. Fabien and
Matthew G. Knepley and
Richard T. Mills and
Béatrice M. Rivi\`ere Manycore Parallel Computing for a
Hybridizable Discontinuous Galerkin
Nested Multigrid Method . . . . . . . . C73--C96
Milinda Fernando and
David Neilsen and
Hyun Lim and
Eric Hirschmann and
Hari Sundar Massively Parallel Simulations of Binary
Black Hole Intermediate-Mass-Ratio
Inspirals . . . . . . . . . . . . . . . C97--C138
Timo Betcke and
Erik Burman and
Matthew W. Scroggs Boundary Element Methods with Weakly
Imposed Boundary Conditions . . . . . . A1357--A1384
Prashant Kumar and
Carmen Rodrigo and
Francisco J. Gaspar and
Cornelis W. Oosterlee On Local Fourier Analysis of Multigrid
Methods for PDEs with Jumping and Random
Coefficients . . . . . . . . . . . . . . A1385--A1413
Patrick R. Amestoy and
Alfredo Buttari and
Jean-Yves L'Excellent and
Theo A. Mary Bridging the Gap Between Flat and
Hierarchical Low-Rank Matrix Formats:
The Multilevel Block Low-Rank Format . . A1414--A1442
Bernhard Schmitzer Stabilized Sparse Scaling Algorithms for
Entropy Regularized Transport Problems A1443--A1481
Anthony M. DeGennaro and
Nathan M. Urban Scalable Extended Dynamic Mode
Decomposition Using Random Kernel
Approximation . . . . . . . . . . . . . A1482--A1499
M. Paul Laiu and
Martin Frank and
Cory D. Hauck A Positive Asymptotic-Preserving Scheme
for Linear Kinetic Transport Equations A1500--A1526
Qian Zhang and
Lixiu Wang and
Zhimin Zhang $ H({\rm curl}^2) $-Conforming Finite
Elements in $2$ Dimensions and
Applications to the Quad--Curl Problem A1527--A1547
Filip Ivanci\'c and
Tony W.-H. Sheu and
Maxim Solovchuk Arbitrary Lagrangian Eulerian-Type
Finite Element Methods Formulation for
PDEs on Time-Dependent Domains with
Vanishing Discrete Space Conservation
Law . . . . . . . . . . . . . . . . . . A1548--A1573
Jinzhi Huang and
Zhongxiao Jia On Inner Iterations of Jacobi--Davidson
Type Methods for Large SVD Computations A1574--A1603
Jennifer A. Scott and
Miroslav Tuma Sparse Stretching for Solving
Sparse-Dense Linear Least-Squares
Problems . . . . . . . . . . . . . . . . A1604--A1625
Zhanjing Tao and
Anqi Chen and
Mengping Zhang and
Yingda Cheng Sparse Grid Central Discontinuous
Galerkin Method for Linear Hyperbolic
Systems in High Dimensions . . . . . . . A1626--A1651
Léopold Cambier and
Eric Darve Fast Low-Rank Kernel Matrix
Factorization Using Skeletonized
Interpolation . . . . . . . . . . . . . A1652--A1680
Adam J. Crowder and
Catherine E. Powell and
Alex Bespalov Efficient Adaptive Multilevel Stochastic
Galerkin Approximation Using Implicit A
Posteriori Error Estimation . . . . . . A1681--A1705
Sabine Le Borne and
Michael Wende Iterative Solution of Saddle-Point
Systems from Radial Basis Function (RBF)
Interpolation . . . . . . . . . . . . . A1706--A1732
Murat Manguoglu and
Volker Mehrmann A Robust Iterative Scheme for Symmetric
Indefinite Systems . . . . . . . . . . . A1733--A1752
Harri Hakula and
Tri Quach and
Antti Rasila The Conjugate Function Method and
Conformal Mappings in Multiply Connected
Domains . . . . . . . . . . . . . . . . A1753--A1776
Loic Giraldi and
Anthony Nouy Weakly Intrusive Low-Rank Approximation
Method for Nonlinear Parameter-Dependent
Equations . . . . . . . . . . . . . . . A1777--A1792
Christoph Hofer and
Ulrich Langer and
Martin Neumüller and
Rainer Schneckenleitner Parallel and Robust Preconditioning for
Space-Time Isogeometric Analysis of
Parabolic Evolution Problems . . . . . . A1793--A1821
Yiqiu Dong and
Per Christian Hansen and
Michiel E. Hochstenbach and
Nicolai André Brogaard Riis Fixing Nonconvergence of Algebraic
Iterative Reconstruction with an
Unmatched Backprojector . . . . . . . . A1822--A1839
Nan Wang and
Zhiping Mao and
Chengming Huang and
George Em Karniadakis A Spectral Penalty Method for Two-Sided
Fractional Differential Equations with
General Boundary Conditions . . . . . . A1840--A1866
James Diffenderfer and
Alyson L. Fox and
Jeffrey A. Hittinger and
Geoffrey Sanders and
Peter G. Lindstrom Error Analysis of ZFP Compression for
Floating-Point Data . . . . . . . . . . A1867--A1898
Vít Dolejsí and
Georg May and
Ajay Rangarajan and
Filip Roskovec A Goal-Oriented High-Order Anisotropic
Mesh Adaptation Using Discontinuous
Galerkin Method for Linear
Convection-Diffusion-Reaction Problems A1899--A1922
Jòrgen S. Dokken and
Simon W. Funke and
August Johansson and
Stephan Schmidt Shape Optimization Using the Finite
Element Method on Multiple Meshes with
Nitsche Coupling . . . . . . . . . . . . A1923--A1948
Bin Gao and
Xin Liu and
Ya-xiang Yuan Parallelizable Algorithms for
Optimization Problems with Orthogonality
Constraints . . . . . . . . . . . . . . A1949--A1983
Lin Mu and
Guannan Zhang A Domain Decomposition Model Reduction
Method for Linear Convection-Diffusion
Equations with Random Coefficients . . . A1984--A2011
Willy Dörfler and
Robert Nürnberg Discrete Gradient Flows for General
Curvature Energies . . . . . . . . . . . A2012--A2036
J. J. W. van der Vegt and
Yinhua Xia and
Yan Xu Positivity Preserving Limiters for
Time-Implicit Higher Order Accurate
Discontinuous Galerkin Discretizations A2037--A2063
V. Dobrev and
T. Kolev and
C. S. Lee and
V. Tomov and
P. S. Vassilevski Algebraic Hybridization and Static
Condensation with Application to
Scalable $ H({\rm div}) $
Preconditioning . . . . . . . . . . . . B425--B447
Hailiang Liu and
Robin Gröpler and
Gerald Warnecke A High Order Positivity Preserving DG
Method for Coagulation-Fragmentation
Equations . . . . . . . . . . . . . . . B448--B465
Kevin Carlberg and
Lukas Brencher and
Bernard Haasdonk and
Andrea Barth Data-Driven Time Parallelism via
Forecasting . . . . . . . . . . . . . . B466--B496
Anthony P. Austin and
Zichao Wendy Di and
Sven Leyffer and
Stefan M. Wild Simultaneous Sensing Error Recovery and
Tomographic Inversion Using an
Optimization-Based Approach . . . . . . B497--B521
Wangtao Lu and
Guanghui Hu Time-Harmonic Acoustic Scattering from a
Nonlocally Perturbed Trapezoidal Surface B522--B544
Consuelo Fuenzalida and
Carlos Jerez-Hanckes and
Ryan G. McClarren Uncertainty Quantification for
Multigroup Diffusion Equations Using
Sparse Tensor Approximations . . . . . . B545--B575
Rosa Maria Pidatella and
Gabriella Puppo and
Giovanni Russo and
Pietro Santagati Semi-Conservative Finite Volume Schemes
for Conservation Laws . . . . . . . . . B576--B600
Mante Zemaityte and
Françoise Tisseur and
Ramaseshan Kannan Filtering Frequencies in a
Shift-and-Invert Lanczos Algorithm for
the Dynamic Analysis of Structures . . . B601--B624
Massimo Bernaschi and
Mauro Carrozzo and
Andrea Franceschini and
Carlo Janna A Dynamic Pattern Factored Sparse
Approximate Inverse Preconditioner on
Graphics Processing Units . . . . . . . C139--C160
Andrew M. Bradley and
Peter A. Bosler and
Oksana Guba and
Mark A. Taylor and
Gregory A. Barnett Communication-Efficient Property
Preservation in Tracer Transport . . . . C161--C193
Kevin R. Green and
Tanner A. Bohn and
Raymond J. Spiteri Direct Function Evaluation versus Lookup
Tables: When to Use Which? . . . . . . . C194--C218
P. E. Farrell and
J. E. Hake and
S. W. Funke and
M. E. Rognes Automated Adjoints of Coupled PDE--ODE
Systems . . . . . . . . . . . . . . . . C219--C244
Mustafa Abduljabbar and
Mohammed Al Farhan and
Noha Al-Harthi and
Rui Chen and
Rio Yokota and
Hakan Bagci and
David Keyes Extreme Scale FMM-Accelerated Boundary
Integral Equation Solver for Wave
Scattering . . . . . . . . . . . . . . . C245--C268
Eric T. Phipps and
Tamara G. Kolda Software for Sparse Tensor Decomposition
on Emerging Computing Architectures . . C269--C290
George I. Boutselis and
Yunpeng Pan and
Evangelos A. Theodorou Numerical Trajectory Optimization for
Stochastic Mechanical Systems . . . . . A2065--A2087
Carlos Pérez-Arancibia and
Catalin Turc and
Luiz Faria Planewave Density Interpolation Methods
for $3$D Helmholtz Boundary Integral
Equations . . . . . . . . . . . . . . . A2088--A2116
Julien Herrmann and
M. Yusuf Özkaya and
Bora Uçar and
Kamer Kaya and
Ümit V. Çatalyürek Multilevel Algorithms for Acyclic
Partitioning of Directed Acyclic Graphs A2117--A2145
Mark Ainsworth and
Ozan Tugluk and
Ben Whitney and
Scott Klasky Multilevel Techniques for Compression
and Reduction of Scientific
Data-Quantitative Control of Accuracy in
Derived Quantities . . . . . . . . . . . A2146--A2171
Steven Goldenberg and
Andreas Stathopoulos and
Eloy Romero A Golub--Kahan Davidson Method for
Accurately Computing a Few Singular
Triplets of Large Sparse Matrices . . . A2172--A2192
Khalide Jbilou and
Marcos Raydan Nonlinear Least-Squares Approach for
Large-Scale Algebraic Riccati Equations A2193--A2211
Matthias Chung and
Mickaël Binois and
Robert B. Gramacy and
Johnathan M. Bardsley and
David J. Moquin and
Amanda P. Smith and
Amber M. Smith Parameter and Uncertainty Estimation for
Dynamical Systems Using Surrogate
Stochastic Processes . . . . . . . . . . A2212--A2238
Jiang Hu and
Bo Jiang and
Lin Lin and
Zaiwen Wen and
Ya-xiang Yuan Structured Quasi-Newton Methods for
Optimization with Orthogonality
Constraints . . . . . . . . . . . . . . A2239--A2269
Roland Pulch and
Akil Narayan Balanced Truncation for Model Order
Reduction of Linear Dynamical Systems
with Quadratic Outputs . . . . . . . . . A2270--A2295
Nick Alger and
Vishwas Rao and
Aaron Myers and
Tan Bui-Thanh and
Omar Ghattas Scalable Matrix-Free Adaptive
Product-Convolution Approximation for
Locally Translation-Invariant Operators A2296--A2328
Martin J. Gander and
Tommaso Vanzan Heterogeneous Optimized Schwarz Methods
for Second Order Elliptic PDEs . . . . . A2329--A2354
Elvar K. Bjarkason Pass-Efficient Randomized Algorithms for
Low-Rank Matrix Approximation Using Any
Number of Views . . . . . . . . . . . . A2355--A2383
Alessandro Alla and
Maurizio Falcone and
Luca Saluzzi An Efficient DP Algorithm on a
Tree-Structure for Finite Horizon
Optimal Control Problems . . . . . . . . A2384--A2406
Alexander Zaitzeff and
Selim Esedoglu and
Krishna Garikipati On the Voronoi Implicit Interface Method A2407--A2429
Joel A. Tropp and
Alp Yurtsever and
Madeleine Udell and
Volkan Cevher Streaming Low-Rank Matrix Approximation
with an Application to Scientific
Simulation . . . . . . . . . . . . . . . A2430--A2463
Daniel A. Serino and
Jeffrey W. Banks and
William D. Henshaw and
Donald W. Schwendeman A Stable Added-Mass Partitioned (AMP)
Algorithm for Elastic Solids and
Incompressible Flow: Model Problem
Analysis . . . . . . . . . . . . . . . . A2464--A2484
Mamikon Gulian and
Maziar Raissi and
Paris Perdikaris and
George Karniadakis Machine Learning of Space-Fractional
Differential Equations . . . . . . . . . A2485--A2509
Ling Guo and
Fanhai Zeng and
Ian Turner and
Kevin Burrage and
George Em Karniadakis Efficient Multistep Methods for Tempered
Fractional Calculus: Algorithms and
Simulations . . . . . . . . . . . . . . A2510--A2535
Nicholas J. Higham and
Srikara Pranesh and
Mawussi Zounon Squeezing a Matrix into Half Precision,
with an Application to Solving Linear
Systems . . . . . . . . . . . . . . . . A2536--A2551
Jeremy G. Hoskins and
Vladimir Rokhlin and
Kirill Serkh On the Numerical Solution of Elliptic
Partial Differential Equations on
Polygonal Domains . . . . . . . . . . . A2552--A2578
Max D. Gunzburger and
Wenju Zhao Descriptions, Discretizations, and
Comparisons of Time/Space Colored and
White Noise Forcings of the
Navier--Stokes Equations . . . . . . . . A2579--A2602
Guofei Pang and
Lu Lu and
George Em Karniadakis fPINNs: Fractional Physics-Informed
Neural Networks . . . . . . . . . . . . A2603--A2626
Stefano Massei and
Mariarosa Mazza and
Leonardo Robol Fast Solvers for Two-Dimensional
Fractional Diffusion Equations Using
Rank Structured Matrices . . . . . . . . A2627--A2656
Howard C. Elman and
Tengfei Su Low-Rank Solution Methods for Stochastic
Eigenvalue Problems . . . . . . . . . . A2657--A2680
Yingzhou Li and
Jianfeng Lu and
Zhe Wang Coordinatewise Descent Methods for
Leading Eigenvalue Problem . . . . . . . A2681--A2716
Raphael Hohmann and
Christian Leithäuser Shape Optimization of a Polymer
Distributor Using an Eulerian Residence
Time Model . . . . . . . . . . . . . . . B625--B648
Ming-Chih Lai and
Kian Chuan Ong Unconditionally Energy Stable Schemes
for the Inextensible Interface Problem
with Bending . . . . . . . . . . . . . . B649--B668
Yvon Maday and
Tommaso Taddei Adaptive PBDW Approach to State
Estimation: Noisy Observations;
User-Defined Update Spaces . . . . . . . B669--B693
Matteo Frigo and
Nicola Castelletto and
Massimiliano Ferronato A Relaxed Physical Factorization
Preconditioner for Mixed Finite Element
Coupled Poromechanics . . . . . . . . . B694--B720
Gang Bao and
Tao Yin and
Fang Zeng Multifrequency Iterative Methods for the
Inverse Medium Scattering Problems in
Elasticity . . . . . . . . . . . . . . . B721--B745
Zhenhua Chai and
Hong Liang and
Rui Du and
Baochang Shi A Lattice Boltzmann Model for Two-Phase
Flow in Porous Media . . . . . . . . . . B746--B772
Yuehaw Khoo and
Lexing Ying Convex Relaxation Approaches for
Strictly Correlated Density Functional
Theory . . . . . . . . . . . . . . . . . B773--B795
Lingxiao Li and
Mingjiu Ni and
Weiying Zheng A Charge-Conservative Finite Element
Method for Inductionless MHD Equations.
Part I: Convergence . . . . . . . . . . B796--B815
Lingxiao Li and
Mingjiu Ni and
Weiying Zheng A Charge-Conservative Finite Element
Method for Inductionless MHD Equations.
Part II: a Robust Solver . . . . . . . . B816--B842
Niall Bootland and
Alistair Bentley and
Christopher Kees and
Andrew Wathen Preconditioners for Two-Phase
Incompressible Navier--Stokes Flow . . . B843--B869
Peter A. Bosler and
Andrew M. Bradley and
Mark A. Taylor Conservative Multimoment Transport along
Characteristics for Discontinuous
Galerkin Methods . . . . . . . . . . . . B870--B902
Alexander Heinlein and
Christian Hochmuth and
Axel Klawonn Monolithic Overlapping Schwarz Domain
Decomposition Methods with GDSW Coarse
Spaces for Incompressible Fluid Flow
Problems . . . . . . . . . . . . . . . . C291--C316
S. Berrone and
S. Scial\`o and
F. Vicini Parallel Meshing, Discretization, and
Computation of Flow in Massive Discrete
Fracture Networks . . . . . . . . . . . C317--C338
Wajih Boukaram and
George Turkiyyah and
David Keyes Randomized GPU Algorithms for the
Construction of Hierarchical Matrices
from Matrix--Vector Operations . . . . . C339--C366
Jakub Cervený and
Veselin Dobrev and
Tzanio Kolev Nonconforming Mesh Refinement for
High-Order Finite Elements . . . . . . . C367--C392
Ruipeng Li and
Yuanzhe Xi and
Lucas Erlandson and
Yousef Saad The Eigenvalues Slicing Library (EVSL):
Algorithms, Implementation, and Software C393--C415
Chi Yeung Lam and
Jianliang Qian Numerical Microlocal Analysis by Fast
Gaussian Wave Packet Transforms and
Application to High-Frequency Helmholtz
Problems . . . . . . . . . . . . . . . . A2717--A2746
F. Caforio and
S. Imperiale A High-Order Spectral Element Fast
Fourier Transform for the Poisson
Equation . . . . . . . . . . . . . . . . A2747--A2771
Akash Anand and
Awanish K. Tiwari A Fourier Extension Based Numerical
Integration Scheme for Fast and
High-Order Approximation of Convolutions
with Weakly Singular Kernels . . . . . . A2772--A2794
Lukas Einkemmer A Low-Rank Algorithm for Weakly
Compressible Flow . . . . . . . . . . . A2795--A2814
Nicholas J. Higham and
Theo Mary A New Approach to Probabilistic Rounding
Error Analysis . . . . . . . . . . . . . A2815--A2835
Conor McCoid and
Manfred R. Trummer Improved Resolution of Boundary Layers
for Spectral Collocation . . . . . . . . A2836--A2849
Emanuela Abbate and
Angelo Iollo and
Gabriella Puppo An Asymptotic-Preserving All-Speed
Scheme for Fluid Dynamics and Nonlinear
Elasticity . . . . . . . . . . . . . . . A2850--A2879
Wayne Isaac T. Uy and
Mircea Grigoriu Specification of Additional Information
for Solving Stochastic Inverse Problems A2880--A2910
Tommaso Buvoli and
Mayya Tokman Constructing New Time Integrators Using
Interpolating Polynomials . . . . . . . A2911--A2937
Jesse Chan and
David C. Del Rey Fernández and
Mark H. Carpenter Efficient Entropy Stable Gauss
Collocation Methods . . . . . . . . . . A2938--A2966
Alejandro Allendes and
Francisco Fuica and
Enrique Otárola and
Daniel Quero An Adaptive FEM for the Pointwise
Tracking Optimal Control Problem of the
Stokes Equations . . . . . . . . . . . . A2967--A2998
B. T. Krull and
M. L. Minion Parallel-In-Time Magnus Integrators . . A2999--A3020
Clark R. Dohrmann and
Kendall H. Pierson and
Olof B. Widlund Vertex-Based Preconditioners for the
Coarse Problems of BDDC . . . . . . . . A3021--A3044
Alexander Heinlein and
Axel Klawonn and
Jascha Knepper and
Oliver Rheinbach Adaptive GDSW Coarse Spaces for
Overlapping Schwarz Methods in Three
Dimensions . . . . . . . . . . . . . . . A3045--A3072
Patrick E. Farrell and
Lawrence Mitchell and
Florian Wechsung An Augmented Lagrangian Preconditioner
for the $3$D Stationary Incompressible
Navier--Stokes Equations at High
Reynolds Number . . . . . . . . . . . . A3073--A3096
Chris Finlay and
Adam Oberman Improved Accuracy of Monotone Finite
Difference Schemes on Point Clouds and
Regular Grids . . . . . . . . . . . . . A3097--A3117
Zlatko Drmac and
Igor Mezi\'c and
Ryan Mohr Data Driven Koopman Spectral Analysis in
Vandermonde--Cauchy Form via the DFT:
Numerical Method and Theoretical
Insights . . . . . . . . . . . . . . . . A3118--A3151
Allal Guessab and
Boris Semisalov Extended Multidimensional Integration
Formulas on Polytope Meshes . . . . . . A3152--A3181
Yuehaw Khoo and
Lexing Ying SwitchNet: a Neural Network Model for
Forward and Inverse Scattering Problems A3182--A3201
Jure Slak and
Gregor Kosec On Generation of Node Distributions for
Meshless PDE Discretizations . . . . . . A3202--A3229
Kevin W. Aiton and
Tobin A. Driscoll An Adaptive Partition of Unity Method
for Multivariate Chebyshev Polynomial
Approximations . . . . . . . . . . . . . A3230--A3245
Siyang Wang and
N. Anders Petersson Fourth Order Finite Difference Methods
for the Wave Equation with Mesh
Refinement Interfaces . . . . . . . . . A3246--A3275
Jun Lai and
Peijun Li A Framework for Simulation of Multiple
Elastic Scattering in Two Dimensions . . A3276--A3299
Alexander Bihlo and
Francis Valiquette Symmetry-Preserving Finite Element
Schemes: an Introductory Investigation A3300--A3325
Marco Frego and
Enrico Bertolazzi Point-Clothoid Distance and Projection
Computation . . . . . . . . . . . . . . A3326--A3353
Erik Burman and
Daniel Elfverson and
Peter Hansbo and
Mats G. Larson and
Karl Larsson Hybridized CutFEM for Elliptic Interface
Problems . . . . . . . . . . . . . . . . A3354--A3380
Ruo Li and
Zhiyuan Sun and
Fanyi Yang Solving Eigenvalue Problems in a
Discontinuous Approximation Space by
Patch Reconstruction . . . . . . . . . . A3381--A3400
Xunnian Yang and
Jialin Hong Dynamic Evaluation of Exponential
Polynomial Curves and Surfaces via Basis
Transformation . . . . . . . . . . . . . A3401--A3420
Shu-Lin Wu and
Tao Zhou Acceleration of the Two-Level MGRIT
Algorithm via the Diagonalization
Technique . . . . . . . . . . . . . . . A3421--A3448
Pedro S. Peixoto and
Martin Schreiber Semi-Lagrangian Exponential Integration
with Application to the Rotating Shallow
Water Equations . . . . . . . . . . . . B903--B928
Alexey V. Smirnov and
Michael V. Klibanov and
Loc H. Nguyen On an Inverse Source Problem for the
Full Radiative Transfer Equation with
Incomplete Data . . . . . . . . . . . . B929--B952
Jeffrey W. Banks and
Andre Gianesini Odu and
Richard Berger and
Thomas Chapman and
William Arrighi and
Stephan Brunner High-Order Accurate Conservative Finite
Difference Methods for Vlasov Equations
in 2D+2V . . . . . . . . . . . . . . . . B953--B982
Jürgen Dölz and
Stefan Kurz and
Sebastian Schöps and
Felix Wolf Isogeometric Boundary Elements in
Electromagnetism: Rigorous Analysis,
Fast Methods, and Examples . . . . . . . B983--B1010
V. Betz and
B. D. Goddard and
Tim Hurst Nonadiabatic Transitions in Multiple
Dimensions . . . . . . . . . . . . . . . B1011--B1033
Valentina Candiani and
Antti Hannukainen and
Nuutti Hyvönen Computational Framework for Applying
Electrical Impedance Tomography to Head
Imaging . . . . . . . . . . . . . . . . B1034--B1060
Lukas Einkemmer and
Christian Lubich A Quasi-Conservative Dynamical Low-Rank
Algorithm for the Vlasov Equation . . . B1061--B1081
Andrés Arrarás and
Francisco J. Gaspar and
Laura Portero and
Carmen Rodrigo Mixed-Dimensional Geometric Multigrid
Methods for Single-Phase Flow in
Fractured Porous Media . . . . . . . . . B1082--B1114
Jingrun Chen and
Dingjiong Ma and
Zhiwen Zhang A Multiscale Finite Element Method for
the Schrödinger Equation with Multiscale
Potentials . . . . . . . . . . . . . . . B1115--B1136
Alexandre Timonov Numerical Solution of a Regularized
Weighted Mean Curvature Flow Problem For
Electrical Conductivity Imaging . . . . B1137--B1154
James R. Maddison and
Daniel N. Goldberg and
Benjamin D. Goddard Automated Calculation of Higher Order
Partial Differential Equation
Constrained Derivative Information . . . C417--C445
Jianming Yang An Easily Implemented, Block-Based Fast
Marching Method with Superior Sequential
and Parallel Performance . . . . . . . . C446--C478
Alexander H. Barnett and
Jeremy Magland and
Ludvig af Klinteberg A Parallel Nonuniform Fast Fourier
Transform Library Based on an
``Exponential of Semicircle'' Kernel . . C479--C504
Erkki Heikkola and
Kazufumi Ito and
Jari Toivanen A Parallel Domain Decomposition Method
for the Helmholtz Equation in Layered
Media . . . . . . . . . . . . . . . . . C505--C521
Laura Grigori and
Olivier Tissot Scalable Linear Solvers Based on
Enlarged Krylov Subspaces with Dynamic
Reduction of Search Directions . . . . . C522--C547
Andreas Mang and
Amir Gholami and
Christos Davatzikos and
George Biros CLAIRE: a Distributed-Memory Solver for
Constrained Large Deformation
Diffeomorphic Image Registration . . . . C548--C584
Nicholas J. Higham and
Srikara Pranesh Simulating Low Precision Floating-Point
Arithmetic . . . . . . . . . . . . . . . C585--C602
Irad Yavneh Special Section: 2018 Copper Mountain
Conference . . . . . . . . . . . . . . . S1--S1
Pedro D. Bello-Maldonado and
Paul F. Fischer Scalable Low-Order Finite Element
Preconditioners for High-Order Spectral
Element Poisson Solvers . . . . . . . . S2--S18
Jamie Haddock and
Deanna Needell Randomized Projection Methods for Linear
Systems with Arbitrarily Large Sparse
Corruptions . . . . . . . . . . . . . . S19--S36
Pieterjan Robbe and
Dirk Nuyens and
Stefan Vandewalle Recycling Samples in the Multigrid
Multilevel (Quasi-)Monte Carlo Method S37--S60
Christopher Gorman and
Gustavo Chávez and
Pieter Ghysels and
Théo Mary and
François-Henry Rouet and
Xiaoye Sherry Li Robust and Accurate Stopping Criteria
for Adaptive Randomized Sampling in
Matrix-Free Hierarchically Semiseparable
Construction . . . . . . . . . . . . . . S61--S85
Azahar Monge and
Philipp Birken A Multirate Neumann--Neumann Waveform
Relaxation Method for Heterogeneous
Coupled Heat Equations . . . . . . . . . S86--S105
Andrew Glaws and
Paul G. Constantine Gaussian Quadrature and Polynomial
Approximation for One-Dimensional Ridge
Functions . . . . . . . . . . . . . . . S106--S128
Samy Wu Fung and
Lars Ruthotto An Uncertainty-Weighted Asynchronous
ADMM Method for Parallel PDE Parameter
Estimation . . . . . . . . . . . . . . . S129--S148
Julianne Chung and
Silvia Gazzola Flexible Krylov Methods for $ \ell_p $
Regularization . . . . . . . . . . . . . S149--S171
Tim Wildey and
Sriramkrishnan Muralikrishnan and
Tan Bui-Thanh Unified Geometric Multigrid Algorithm
for Hybridized High-Order Finite Element
Methods . . . . . . . . . . . . . . . . S172--S195
S. J. Thomas and
S. Ananthan and
S. Yellapantula and
J. J. Hu and
M. Lawson and
M. A. Sprague A Comparison of Classical and
Aggregation-Based Algebraic Multigrid
Preconditioners for High-Fidelity
Simulation of Wind Turbine
Incompressible Flows . . . . . . . . . . S196--S219
Xiaozhe Hu and
Junyuan Lin and
Ludmil T. Zikatanov An Adaptive Multigrid Method Based on
Path Cover . . . . . . . . . . . . . . . S220--S241
Thomas A. Manteuffel and
Steffen Münzenmaier and
John Ruge and
Ben Southworth Nonsymmetric Reduction-Based Algebraic
Multigrid . . . . . . . . . . . . . . . S242--S268
Tom Manteuffel and
Ben S. Southworth Convergence in Norm of Nonsymmetric
Algebraic Multigrid . . . . . . . . . . S269--S296
C. B. Scott and
Eric Mjolsness Multilevel Artificial Neural Network
Training for Spatially Correlated
Learning . . . . . . . . . . . . . . . . S297--S320
Alvaro Pe de la Riva and
Carmen Rodrigo and
Francisco J. Gaspar A Robust Multigrid Solver for
Isogeometric Analysis Based on
Multiplicative Schwarz Smoothers . . . . S321--S345
Jed Brown and
Yunhui He and
Scott MacLachlan Local Fourier Analysis of Balancing
Domain Decomposition By Constraints
Algorithms . . . . . . . . . . . . . . . S346--S369
Yunyi Hu and
Martin S. Andersen and
James G. Nagy Spectral Computed Tomography with
Linearization and Preconditioning . . . S370--S389
Shihua Gong and
Xiao-Chuan Cai A Nonlinear Elimination Preconditioned
Inexact Newton Method for Heterogeneous
Hyperelasticity . . . . . . . . . . . . S390--S408
Alfredo Buttari and
Dominique Orban and
Daniel Ruiz and
David Titley-Peloquin A Tridiagonalization Method for
Symmetric Saddle-Point Systems . . . . . S409--S432
Alena Kopanicáková and
Rolf Krause and
Rasmus Tamstorf Subdivision-Based Nonlinear Multiscale
Cloth Simulation . . . . . . . . . . . . S433--S461
Tao Wu and
David F. Gleich Multiway Monte Carlo Method for Linear
Systems . . . . . . . . . . . . . . . . A3449--A3475
Adam G. Peddle and
Terry Haut and
Beth Wingate Parareal Convergence for Oscillatory
PDEs with Finite Time-Scale Separation A3476--A3497
Tommy Etling and
Roland Herzog and
Martin Siebenborn Optimum Experimental Design for
Interface Identification Problems . . . A3498--A3523
Helen L. Cleaves and
Alen Alexanderian and
Hayley Guy and
Ralph C. Smith and
Meilin Yu Derivative-Based Global Sensitivity
Analysis for Models with
High-Dimensional Inputs and Functional
Outputs . . . . . . . . . . . . . . . . A3524--A3551
Harbir Antil and
Yanlai Chen and
Akil Narayan Reduced Basis Methods for Fractional
Laplace Equations via Extension . . . . A3552--A3575
Jianyuan Yin and
Lei Zhang and
Pingwen Zhang High-Index Optimization-Based Shrinking
Dimer Method for Finding High-Index
Saddle Points . . . . . . . . . . . . . A3576--A3595
Qinghai Zhang and
Lingyun Ding Lagrangian Flux Calculation Through a
Fixed Planar Curve for Scalar
Conservation Laws . . . . . . . . . . . A3596--A3623
Yous V. Halder and
Benjamin Sanderse and
Barry Koren An Adaptive Minimum Spanning Tree
Multielement Method for Uncertainty
Quantification of Smooth and
Discontinuous Responses . . . . . . . . A3624--A3648
Yaghoub Rahimi and
Chao Wang and
Hongbo Dong and
Yifei Lou A Scale-Invariant Approach for Sparse
Signal Recovery . . . . . . . . . . . . A3649--A3672
Fenglong Qu and
Bo Zhang and
Haiwen Zhang A Novel Integral Equation for Scattering
by Locally Rough Surfaces and
Application to the Inverse Problem: The
Neumann Case . . . . . . . . . . . . . . A3673--A3702
Georgios Akrivis and
Buyang Li and
Dongfang li Energy-Decaying Extrapolated RK--SAV
Methods for the Allen--Cahn and
Cahn--Hilliard Equations . . . . . . . . A3703--A3727
Sheehan Olver and
Alex Townsend and
Geoffrey Vasil A Sparse Spectral Method on Triangles A3728--A3756
Tao Tang and
Haijun Yu and
Tao Zhou On Energy Dissipation Theory and
Numerical Stability for Time-Fractional
Phase-Field Equations . . . . . . . . . A3757--A3778
Sjoerd Geevers Doubling the Convergence Rate by Pre-
and Post-Processing the Finite Element
Approximation for Linear Wave Problems A3779--A3805
Daniel Drzisga and
Brendan Keith and
Barbara Wohlmuth The Surrogate Matrix Methodology: a
Priori Error Estimation . . . . . . . . A3806--A3838
Katharina Kormann and
Caroline Lasser and
Anna Yurova Stable Interpolation with Isotropic and
Anisotropic Gaussians Using Hermite
Generating Function . . . . . . . . . . A3839--A3859
Dominik Pölz and
Martin Schanz Space-Time Discretized Retarded
Potential Boundary Integral Operators:
Quadrature for Collocation Methods . . . A3860--A3886
Alexander Heinlein and
Axel Klawonn and
Martin Lanser and
Janine Weber Machine Learning in Adaptive Domain
Decomposition Methods --- Predicting the
Geometric Location of Constraints . . . A3887--A3912
Daniel Fortunato and
Chris H. Rycroft and
Robert Saye Efficient Operator-Coarsening Multigrid
Schemes for Local Discontinuous Galerkin
Methods . . . . . . . . . . . . . . . . A3913--A3937
Rebekka Gasser and
Joscha Gedicke and
Stefan Sauter Benchmark Computation of Eigenvalues
with Large Defect for Non-Self-adjoint
Elliptic Differential Operators . . . . A3938--A3953
Bo Wang and
Wenzhong Zhang and
Wei Cai Fast Multipole Method For $3$-D
Helmholtz Equation in Layered Media . . A3954--A3981
Jialin Hong and
Xu Wang and
Liying Zhang Parareal Exponential $ \theta $-Scheme
for Longtime Simulation of Stochastic
Schrödinger Equations with Weak Damping B1155--B1177
Kai Fu and
Dong Liang A Mass-Conservative Temporal Second
Order and Spatial Fourth Order
Characteristic Finite Volume Method for
Atmospheric Pollution Advection
Diffusion Problems . . . . . . . . . . . B1178--B1210
R. Altmann and
D. Peterseim Localized Computation of Eigenstates of
Random Schrödinger Operators . . . . . . B1211--B1227
Sergey Dolgov and
John W. Pearson Preconditioners and Tensor Product
Solvers for Optimal Control Problems
from Chemotaxis . . . . . . . . . . . . B1228--B1253
Yuya Suzuki and
Gowri Suryanarayana and
Dirk Nuyens Strang Splitting in Combination with
Rank-$1$ and Rank-$r$ Lattices for the
Time-Dependent Schrödinger Equation . . . B1254--B1283
Weizhu Bao and
Xinran Ruan Computing Ground States of
Bose--Einstein Condensates with Higher
Order Interaction via a Regularized
Density Function Formulation . . . . . . B1284--B1309
Xiaohao Cai and
Raymond Chan and
Carola-Bibiane Schönlieb and
Gabriele Steidl and
Tieyong Zeng Linkage Between Piecewise Constant
Mumford--Shah Model and
Rudin--Osher--Fatemi Model and Its
Virtue in Image Segmentation . . . . . . B1310--B1340
Alexandre Caboussat and
Roland Glowinski and
Dimitrios Gourzoulidis and
Marco Picasso Numerical Approximation of Orthogonal
Maps . . . . . . . . . . . . . . . . . . B1341--B1367
Xia Ji and
Xiaodong Liu Inverse Electromagnetic Source
Scattering Problems with Multifrequency
Sparse Phased and Phaseless Far Field
Data . . . . . . . . . . . . . . . . . . B1368--B1388
Nianyu Yi and
Yunqing Huang and
Hailiang Liu A Conservative Discontinuous Galerkin
Method for Nonlinear Electromagnetic
Schrödinger Equations . . . . . . . . . . B1389--B1411
Sebastian Götschel and
Michael L. Minion An Efficient Parallel-in-Time Method for
Optimization with Parabolic PDEs . . . . C603--C626
Tommaso Buvoli A Class of Exponential Integrators Based
on Spectral Deferred Correction . . . . A1--A27
Alexander Brune and
Michal Kocvara On Barrier and Modified Barrier
Multigrid Methods for Three-Dimensional
Topology Optimization . . . . . . . . . A28--A53
Yunzhang Li and
Chi-Wang Shu and
Shanjian Tang A Discontinuous Galerkin Method for
Stochastic Conservation Laws . . . . . . A54--A86
Jana de Wiljes and
Sahani Pathiraja and
Sebastian Reich Ensemble Transform Algorithms for
Nonlinear Smoothing Problems . . . . . . A87--A114
Adrien Laurent and
Gilles Vilmart Multirevolution Integrators for
Differential Equations with Fast
Stochastic Oscillations . . . . . . . . A115--A139
Alexandra Bünger and
Sergey Dolgov and
Martin Stoll A Low-Rank Tensor Method for
PDE-Constrained Optimization with
Isogeometric Analysis . . . . . . . . . A140--A161
Xin Xing and
Edmond Chow Fast Coulomb Matrix Construction via
Compressing the Interactions Between
Continuous Charge Distributions . . . . A162--A186
Sophie M. Moufawad $s$-Step Enlarged Krylov Subspace
Conjugate Gradient Methods . . . . . . . A187--A219
Xiu Yang and
Xueyu Zhu and
Jing Li When Bifidelity Meets CoKriging: an
Efficient Physics-Informed MultiFidelity
Method . . . . . . . . . . . . . . . . . A220--A249
Elizabeth Carlson and
Joshua Hudson and
Adam Larios Parameter Recovery for the 2 Dimensional
Navier--Stokes Equations via Continuous
Data Assimilation . . . . . . . . . . . A250--A270
Ahmad Ahmad Ali and
Michael Hinze Reduced Basis Methods --- An Application
to Variational Discretization of
Parametrized Elliptic Optimal Control
Problems . . . . . . . . . . . . . . . . A271--A291
Liu Yang and
Dongkun Zhang and
George Em Karniadakis Physics-Informed Generative Adversarial
Networks for Stochastic Differential
Equations . . . . . . . . . . . . . . . A292--A317
Thomas Ludescher and
Sven Gross and
Arnold Reusken A Multigrid Method for Unfitted Finite
Element Discretizations of Elliptic
Interface Problems . . . . . . . . . . . A318--A342
Rémi Abgrall and
Konstantin Lipnikov and
Nathaniel Morgan and
Svetlana Tokareva Multidimensional Staggered Grid Residual
Distribution Scheme for Lagrangian
Hydrodynamics . . . . . . . . . . . . . A343--A370
B. Endtmayer and
U. Langer and
T. Wick Two-Side a Posteriori Error Estimates
for the Dual-Weighted Residual Method A371--A394
Guoqiang Wang and
Xinyuan Wei and
Bo Yu and
Lijun Xu An Efficient Proximal Block Coordinate
Homotopy Method for Large-Scale Sparse
Least Squares Problems . . . . . . . . . A395--A423
I.-G. Farcas and
J. Latz and
E. Ullmann and
T. Neckel and
H.-J. Bungartz Multilevel Adaptive Sparse Leja
Approximations for Bayesian Inverse
Problems . . . . . . . . . . . . . . . . A424--A451
Martin Bourne and
Joab Winkler and
Yi Su The Computation of Multiple Roots of a
Bernstein Basis Polynomial . . . . . . . A452--A476
Takeshi Fukaya and
Ramaseshan Kannan and
Yuji Nakatsukasa and
Yusaku Yamamoto and
Yuka Yanagisawa Shifted Cholesky QR for Computing the QR
Factorization of Ill-Conditioned
Matrices . . . . . . . . . . . . . . . . A477--A503
Camille Carvalho and
Shilpa Khatri and
Arnold D. Kim Asymptotic Approximations for the Close
Evaluation of Double-Layer Potentials A504--A533
Olivier Zahm and
Paul G. Constantine and
Clémentine Prieur and
Youssef M. Marzouk Gradient-Based Dimension Reduction of
Multivariate Vector-Valued Functions . . A534--A558
Francesca Boso and
Daniel M. Tartakovsky Data-Informed Method of Distributions
for Hyperbolic Conservation Laws . . . . A559--A583
Jianfeng Lu and
Zhe Wang The Full Configuration Interaction
Quantum Monte Carlo Method through the
Lens of Inexact Power Iteration . . . . B1--B29
Jisheng Kou and
Shuyu Sun and
Xiuhua Wang A Novel Energy Factorization Approach
for the Diffuse-Interface Model with
Peng--Robinson Equation of State . . . . B30--B56
Michael Wathen and
Chen Greif A Scalable Approximate Inverse Block
Preconditioner for an Incompressible
Magnetohydrodynamics Model Problem . . . B57--B79
Annalisa Buffa and
Jacopo Corno and
Carlo de Falco and
Sebastian Schöps and
Rafael Vázquez Hernández Isogeometric Mortar Coupling for
Electromagnetic Problems . . . . . . . . B80--B104
Zhicheng Hu and
Zhenning Cai and
Yanli Wang Numerical Simulation of Microflows Using
Hermite Spectral Methods . . . . . . . . B105--B134
Yuezheng Gong and
Jia Zhao and
Qi Wang Arbitrarily High-Order Unconditionally
Energy Stable Schemes for
Thermodynamically Consistent Gradient
Flow Models . . . . . . . . . . . . . . B135--B156
Thierry Goudon and
Laurent Monasse Fokker--Planck Approach of Ostwald
Ripening: Simulation of a Modified
Lifshitz--Slyozov--Wagner System with a
Diffusive Correction . . . . . . . . . . B157--B184
Ernest K. Ryu and
Seyoon Ko and
Joong-Ho Won Splitting with Near-Circulant Linear
Systems: Applications to Total Variation
CT and PET . . . . . . . . . . . . . . . B185--B206
Habib Ammari and
Oscar Bruno and
Kthim Imeri and
Nilima Nigam Wave Enhancement Through Optimization of
Boundary Conditions . . . . . . . . . . B207--B224
Verónica Anaya and
Zoa de Wijn and
Bryan Gómez-Vargas and
David Mora and
Ricardo Ruiz-Baier Rotation-Based Mixed Formulations for an
Elasticity-Poroelasticity Interface
Problem . . . . . . . . . . . . . . . . B225--B249
Pritpal Matharu and
Bartosz Protas Optimal Closures in a Simple Model for
Turbulent Flows . . . . . . . . . . . . B250--B272
Zhengdao Chen and
Baranidharan Raman and
Ari Stern Structure-Preserving Numerical
Integrators for Hodgkin--Huxley-Type
Systems . . . . . . . . . . . . . . . . B273--B298
Torsten Keßler and
Sergej Rjasanow and
Steffen Weißer Vlasov--Poisson System Tackled by
Particle Simulation Utilizing Boundary
Element Methods . . . . . . . . . . . . B299--B326
Quan Zhao and
Wei Jiang and
Weizhu Bao A Parametric Finite Element Method for
Solid-State Dewetting Problems in Three
Dimensions . . . . . . . . . . . . . . . B327--B352
Kurt A. O'Hearn and
Abdullah Alperen and
Hasan Metin Aktulga Fast Solvers for Charge Distribution
Models on Shared Memory Platforms . . . C1--C22
Tao Tang and
Li-Lian Wang and
Huifang Yuan and
Tao Zhou Rational Spectral Methods for PDEs
Involving Fractional Laplacian in
Unbounded Domains . . . . . . . . . . . A585--A611
Hendrik Ranocha and
Mohammed Sayyari and
Lisandro Dalcin and
Matteo Parsani and
David I. Ketcheson Relaxation Runge--Kutta Methods: Fully
Discrete Explicit Entropy-Stable Schemes
for the Compressible Euler and
Navier--Stokes Equations . . . . . . . . A612--A638
Dongkun Zhang and
Ling Guo and
George Em Karniadakis Learning in Modal Space: Solving
Time-Dependent Stochastic PDEs Using
Physics-Informed Neural Networks . . . . A639--A665
Joackim Bernier and
Fernando Casas and
Nicolas Crouseilles Splitting Methods for Rotations:
Application to Vlasov Equations . . . . A666--A697
Felipe Lepe and
David Mora Symmetric and Nonsymmetric Discontinuous
Galerkin Methods for a Pseudostress
Formulation of the Stokes Spectral
Problem . . . . . . . . . . . . . . . . A698--A722
Qiuqi Li and
Pingwen Zhang A Variable-Separation Method for
Nonlinear Partial Differential Equations
With Random Inputs . . . . . . . . . . . A723--A750
Giacomo Gigante and
Giulia Sambataro and
Christian Vergara Optimized Schwarz Methods for Spherical
Interfaces With Application to
Fluid-Structure Interaction . . . . . . A751--A770
Andreas Hessenthaler and
Ben S. Southworth and
David Nordsletten and
Oliver Röhrle and
Robert D. Falgout and
Jacob B. Schroder Multilevel Convergence Analysis of
Multigrid-Reduction-in-Time . . . . . . A771--A796
Jun Hu and
Limin Ma Asymptotically Exact A Posteriori Error
Estimates of Eigenvalues by the
Crouzeix--Raviart Element and Enriched
Crouzeix--Raviart Element . . . . . . . A797--A821
Yassine Zniyed and
Rémy Boyer and
André L. F. de Almeida and
Gérard Favier A TT-Based Hierarchical Framework for
Decomposing High-Order Tensors . . . . . A822--A848
Sheng Chen and
Jie Shen and
Zhimin Zhang and
Zhi Zhou A Spectrally Accurate Approximation to
Subdiffusion Equations Using the Log
Orthogonal Functions . . . . . . . . . . A849--A877
Victor Minden and
Lexing Ying A Simple Solver for the Fractional
Laplacian in Multiple Dimensions . . . . A878--A900
Vandana Dwarka and
Cornelis Vuik Scalable Convergence Using Two-Level
Deflation Preconditioning for the
Helmholtz Equation . . . . . . . . . . . A901--A928
Remi R. Lam and
Olivier Zahm and
Youssef M. Marzouk and
Karen E. Willcox Multifidelity Dimension Reduction via
Active Subspaces . . . . . . . . . . . . A929--A956
Peter Benner and
Zvonimir Bujanovi\'c and
Patrick Kürschner and
Jens Saak A Numerical Comparison of Different
Solvers for Large-Scale, Continuous-Time
Algebraic Riccati Equations and LQR
Problems . . . . . . . . . . . . . . . . A957--A996
Tommaso Taddei A Registration Method for Model Order
Reduction: Data Compression and Geometry
Reduction . . . . . . . . . . . . . . . A997--A1027
Antonio Baeza and
Raimund Bürger and
Pep Mulet and
David Zorío An Efficient Third-Order WENO Scheme
with Unconditionally Optimal Accuracy A1028--A1051
J. Thomas Beale Solving Partial Differential Equations
on Closed Surfaces with Planar Cartesian
Grids . . . . . . . . . . . . . . . . . A1052--A1070
Hanz Martin Cheng and
Jérôme Droniou An Efficient Implementation of Mass
Conserving Characteristic-Based Schemes
in Two and Three Dimensions . . . . . . A1071--A1096
Qiyuan Pang and
Kenneth L. Ho and
Haizhao Yang Interpolative Decomposition Butterfly
Factorization . . . . . . . . . . . . . A1097--A1115
Youngsoo Choi and
Deshawn Coombs and
Robert Anderson SNS: a Solution-Based Nonlinear Subspace
Method for Time-Dependent Model Order
Reduction . . . . . . . . . . . . . . . A1116--A1146
Paola F. Antonietti and
Laura Melas Algebraic Multigrid Schemes for
High-Order Nodal Discontinuous Galerkin
Methods . . . . . . . . . . . . . . . . A1147--A1173
Xiao Liu and
Jianlin Xia and
Maarten de Hoop Fast Factorization Update for General
Elliptic Equations Under Multiple
Coefficient Updates . . . . . . . . . . A1174--A1199
Tommy Etling and
Roland Herzog and
Estefanía Loayza and
Gerd Wachsmuth First and Second Order Shape
Optimization Based on Restricted Mesh
Deformations . . . . . . . . . . . . . . A1200--A1225
Sören Bartels and
Gerd Wachsmuth Numerical Approximation of Optimal
Convex Shapes . . . . . . . . . . . . . A1226--A1244
Vu Thai Luan and
Rujeko Chinomona and
Daniel R. Reynolds A New Class of High-Order Methods for
Multirate Differential Equations . . . . A1245--A1268
Johnathan M. Bardsley and
Per Christian Hansen MCMC Algorithms for Computational UQ of
Nonnegativity Constrained Linear Inverse
Problems . . . . . . . . . . . . . . . . A1269--A1288
Akash Anand and
Jeffrey S. Ovall and
Samuel E. Reynolds and
Steffen Weißer Trefftz Finite Elements on Curvilinear
Polygons . . . . . . . . . . . . . . . . A1289--A1316
Johnathan M. Bardsley and
Tiangang Cui and
Youssef M. Marzouk and
Zheng Wang Scalable Optimization-Based Sampling on
Function Space . . . . . . . . . . . . . A1317--A1347
Thomas G. Anderson and
Oscar P. Bruno and
Mark Lyon High-order, Dispersionless
``Fast-Hybrid'' Wave Equation Solver.
Part I:$ O(1) $ Sampling Cost via
Incident-Field Windowing and Recentering A1348--A1379
Felipe Vico and
Leslie Greengard and
Michael O'Neil and
Manas Rachh A Fast Boundary Integral Method for
High-Order Multiscale Mesh Generation A1380--A1401
Mark Ainsworth and
Ozan Tugluk and
Ben Whitney and
Scott Klasky Multilevel Techniques for Compression
and Reduction of Scientific Data --- The
Unstructured Case . . . . . . . . . . . A1402--A1427
Ruo Li and
Fanyi Yang A Discontinuous Galerkin Method by Patch
Reconstruction for Elliptic Interface
Problem on Unfitted Mesh . . . . . . . . A1428--A1457
Ruihan Guo and
Yan Xu High Order Numerical Simulations for the
Binary Fluid--Surfactant System Using
the Discontinuous Galerkin and Spectral
Deferred Correction Methods . . . . . . B353--B378
Quan M. Bui and
Daniel Osei-Kuffuor and
Nicola Castelletto and
Joshua A. White A Scalable Multigrid Reduction Framework
for Multiphase Poromechanics of
Heterogeneous Media . . . . . . . . . . B379--B396
T. Reis On the Lattice Boltzmann Deviatoric
Stress: Analysis, Boundary Conditions,
and Optimal Relaxation Times . . . . . . B397--B424
Tom Gustafsson and
Rolf Stenberg and
Juha Videman On Nitsche's Method for Elastic Contact
Problems . . . . . . . . . . . . . . . . B425--B446
J. Jacangelo and
J. W. Banks and
T. Hagstrom Galerkin Differences for High-Order
Partial Differential Equations . . . . . B447--B471
S. De Marchi and
W. Erb and
F. Marchetti and
E. Perracchione and
M. Rossini Shape-Driven Interpolation With
Discontinuous Kernels: Error Analysis,
Edge Extraction, and Applications in
Magnetic Particle Imaging . . . . . . . B472--B491
Quentin Wargnier and
Sylvain Faure and
Benjamin Graille and
Thierry Magin and
Marc Massot Numerical Treatment of the
Nonconservative Product in a Multiscale
Fluid Model for Plasmas in Thermal
Nonequilibrium: Application to Solar
Physics . . . . . . . . . . . . . . . . B492--B519
Philippe Chartier and
Nicolas Crouseilles and
Mohammed Lemou and
Florian Méhats and
Xiaofei Zhao Uniformly Accurate Methods for Three
Dimensional Vlasov Equations under
Strong Magnetic Field with Varying
Direction . . . . . . . . . . . . . . . B520--B547
Iain Duff and
Jonathan Hogg and
Florent Lopez A New Sparse $ L D L^T $ Solver Using A
Posteriori Threshold Pivoting . . . . . C23--C42
Stefano Massei and
Leonardo Robol and
Daniel Kressner hm-toolbox: MATLAB Software for HODLR
and HSS Matrices . . . . . . . . . . . . C43--C68
Jesse Laeuchli and
Andreas Stathopoulos Extending Hierarchical Probing for
Computing the Trace of Matrix Inverses A1459--A1485
Lei Li and
Zhenli Xu and
Yue Zhao A Random-Batch Monte Carlo Method for
Many-Body Systems with Singular Kernels A1486--A1509
Shu-Lin Wu and
Jun Liu A Parallel-In-Time Block-Circulant
Preconditioner for Optimal Control of
Wave Equations . . . . . . . . . . . . . A1510--A1540
Pierre Blanchard and
Nicholas J. Higham and
Theo Mary A Class of Fast and Accurate Summation
Algorithms . . . . . . . . . . . . . . . A1541--A1557
Zhifang Du and
Jiequan Li Accelerated Piston Problem and High
Order Moving Boundary Tracking Method
for Compressible Fluid Flows . . . . . . A1558--A1581
Arvind K. Saibaba Randomized Discrete Empirical
Interpolation Method for Nonlinear Model
Reduction . . . . . . . . . . . . . . . A1582--A1608
Steven Roberts and
Arash Sarshar and
Adrian Sandu Coupled Multirate Infinitesimal GARK
Schemes for Stiff Systems with Multiple
Time Scales . . . . . . . . . . . . . . A1609--A1638
Hannah Lu and
Daniel M. Tartakovsky Prediction Accuracy of Dynamic Mode
Decomposition . . . . . . . . . . . . . A1639--A1662
Olivier Mercier and
Xi-Yuan Yin and
Jean-Christophe Nave The Characteristic Mapping Method for
the Linear Advection of Arbitrary Sets A1663--A1685
Yongfeng Li and
Haoyang Liu and
Zaiwen Wen and
Ya-xiang Yuan Low-Rank Matrix Iteration Using
Polynomial-Filtered Subspace Extraction A1686--A1713
Elizabeth Herman and
Alen Alexanderian and
Arvind K. Saibaba Randomization and Reweighted $
\ell_1$-Minimization for A-Optimal
Design of Linear Inverse Problems . . . A1714--A1740
Delyan Z. Kalchev and
Panayot S. Vassilevski Auxiliary Space Preconditioning of
Finite Element Equations Using a
Nonconforming Interior Penalty
Reformulation and Static Condensation A1741--A1764
X. T. Tong and
M. Morzfeld and
Y. M. Marzouk MALA-within-Gibbs Samplers for
High-Dimensional Distributions with
Sparse Conditional Structure . . . . . . A1765--A1788
William Leeb and
Vladimir Rokhlin On the Numerical Solution of
Fourth-Order Linear Two-Point Boundary
Value Problems . . . . . . . . . . . . . A1789--A1808
Ron Estrin and
Michael P. Friedlander and
Dominique Orban and
Michael A. Saunders Implementing a Smooth Exact Penalty
Function for Equality-Constrained
Nonlinear Optimization . . . . . . . . . A1809--A1835
Ron Estrin and
Michael P. Friedlander and
Dominique Orban and
Michael A. Saunders Implementing a Smooth Exact Penalty
Function for General Constrained
Nonlinear Optimization . . . . . . . . . A1836--A1859
Alejandro Allendes and
Enrique Otárola and
Abner J. Salgado A Posteriori Error Estimates for the
Stationary Navier--Stokes Equations with
Dirac Measures . . . . . . . . . . . . . A1860--A1884
Guozhi Dong and
Hailong Guo Parametric Polynomial Preserving
Recovery on Manifolds . . . . . . . . . A1885--A1912
Guillaume Bertoli and
Gilles Vilmart Strang Splitting Method for Semilinear
Parabolic Problems With Inhomogeneous
Boundary Conditions: a Correction Based
on the Flow of the Nonlinearity . . . . A1913--A1934
Klaudius Scheufele and
Shashank Subramanian and
Andreas Mang and
George Biros and
Miriam Mehl Image-Driven Biophysical Tumor Growth
Model Calibration . . . . . . . . . . . B549--B580
Patrick Henning and
Anna Persson Computational Homogenization of
Time-Harmonic Maxwell's Equations . . . B581--B607
Lin Mu Pressure Robust Weak Galerkin Finite
Element Methods for Stokes Problems . . B608--B629
Zhengguang Liu and
Xiaoli Li The Exponential Scalar Auxiliary
Variable (E-SAV) Approach for Phase
Field Models and Its Explicit Computing B630--B655
Ricardo Delgadillo and
Di Liu A Spectral Algorithm for the
Time-Dependent Kohn--Sham Equations:
Accurately Treating External Potentials
Based on Frozen Gaussian Approximations B656--B674
Annie Cuyt and
Yuan Hou and
Ferre Knaepkens and
Wen-shin Lee Sparse Multidimensional Exponential
Analysis with an Application to Radar
Imaging . . . . . . . . . . . . . . . . B675--B695
H. Bin Zubair Syed and
C. Farquharson and
S. MacLachlan Block Preconditioning Techniques for
Geophysical Electromagnetics . . . . . . B696--B721
Isaac Harris and
Dinh-Liem Nguyen Orthogonality Sampling Method for the
Electromagnetic Inverse Scattering
Problem . . . . . . . . . . . . . . . . B722--B737
Bingquan Ji and
Hong-lin Liao and
Yuezheng Gong and
Luming Zhang Adaptive Second-Order Crank--Nicolson
Time-Stepping Schemes for
Time-Fractional Molecular Beam Epitaxial
Growth Models . . . . . . . . . . . . . B738--B760
J. H. Adler and
F. J. Gaspar and
X. Hu and
P. Ohm and
C. Rodrigo and
L. T. Zikatanov Robust Preconditioners for a New
Stabilized Discretization of the
Poroelastic Equations . . . . . . . . . B761--B791
Ruo Li and
Yanli Wang and
Yixuan Wang Approximation to Singular Quadratic
Collision Model in
Fokker--Planck--Landau Equation . . . . B792--B815
Rémi Abgrall and
Davide Torlo High Order Asymptotic Preserving
Deferred Correction Implicit-Explicit
Schemes for Kinetic Models . . . . . . . B816--B845
Dominic Etienne Charrier and
Benjamin Hazelwood and
Tobias Weinzierl Enclave Tasking for DG Methods on
Dynamically Adaptive Meshes . . . . . . C69--C96
David Moxey and
Roman Amici and
Mike Kirby Efficient Matrix-Free High-Order Finite
Element Evaluation for Simplicial
Elements . . . . . . . . . . . . . . . . C97--C123
Pierre Blanchard and
Nicholas J. Higham and
Florent Lopez and
Theo Mary and
Srikara Pranesh Mixed Precision Block Fused
Multiply-Add: Error Analysis and
Application to GPU Tensor Cores . . . . C124--C141
Marta D'Elia and
Xiaochuan Tian and
Yue Yu A Physically Consistent, Flexible, and
Efficient Strategy to Convert Local
Boundary Conditions into Nonlocal Volume
Constraints . . . . . . . . . . . . . . A1935--A1949
Daniel Appelö and
Fortino Garcia and
Olof Runborg WaveHoltz: Iterative Solution of the
Helmholtz Equation via the Wave Equation A1950--A1983
Oliver R. A. Dunbar and
Matthew M. Dunlop and
Charles M. Elliott and
Viet Ha Hoang and
Andrew M. Stuart Reconciling Bayesian and Perimeter
Regularization for Binary Inversion . . A1984--A2013
Fredrik Hellman and
Tim Keil and
Axel Målqvist Numerical Upscaling of Perturbed
Diffusion Problems . . . . . . . . . . . A2014--A2036
G. Welper Transformed Snapshot Interpolation with
High Resolution Transforms . . . . . . . A2037--A2061
F. Wagner and
J. Latz and
I. Papaioannou and
E. Ullmann Multilevel Sequential Importance
Sampling for Rare Event Estimation . . . A2062--A2087
Léo Lebrat and
Frédéric de Gournay and
Jonas Kahn $ 3 / 4$-Discrete Optimal Transport . . A2088--A2107
Dario A. Bini and
Stefano Massei and
Beatrice Meini and
Leonardo Robol A Computational Framework for
Two-Dimensional Random Walks With
Restarts . . . . . . . . . . . . . . . . A2108--A2133
Xinyu He and
Kristofer G. Reyes and
Warren B. Powell Optimal Learning with Local Nonlinear
Parametric Models over Continuous
Designs . . . . . . . . . . . . . . . . A2134--A2157
Lina Zhao and
Eun-Jae Park A Staggered Cell-Centered DG Method for
Linear Elasticity on Polygonal Meshes A2158--A2181
Gerhard Kirsten and
Valeria Simoncini Order Reduction Methods for Solving
Large-Scale Differential Matrix Riccati
Equations . . . . . . . . . . . . . . . A2182--A2205
Xin Liu and
Xi Chen and
Shi Jin and
Alexander Kurganov and
Tong Wu and
Hui Yu Moving-Water Equilibria Preserving
Partial Relaxation Scheme for the
Saint-Venant System . . . . . . . . . . A2206--A2229
Kailiang Wu and
Chi-Wang Shu Entropy Symmetrization and High-Order
Accurate Entropy Stable Numerical
Schemes for Relativistic MHD Equations A2230--A2261
Wenwu Gao and
Xingping Sun and
Zongmin Wu and
Xuan Zhou Multivariate Monte Carlo Approximation
Based on Scattered Data . . . . . . . . A2262--A2280
Gregor Robinson and
Ian Grooms A Fast Tunable Blurring Algorithm for
Scattered Data . . . . . . . . . . . . . A2281--A2299
Franz Chouly and
Alexandre Ern and
Nicolas Pignet A Hybrid High-Order Discretization
Combined with Nitsche's Method for
Contact and Tresca Friction in Small
Strain Elasticity . . . . . . . . . . . A2300--A2324
Xia Ji and
Xiaodong Liu Identification of Point-Like Objects
with Multifrequency Sparse Data . . . . A2325--A2343
Daniil Bochkov and
Frederic Gibou PDE-Based Multidimensional Extrapolation
of Scalar Fields over Interfaces with
Kinks and High Curvatures . . . . . . . A2344--A2359
Kevin W. Aiton and
Tobin A. Driscoll Preconditioned Nonlinear Iterations for
Overlapping Chebyshev Discretizations
with Independent Grids . . . . . . . . . A2360--A2370
Varun Shankar and
Grady B. Wright and
Akil Narayan A Robust Hyperviscosity Formulation for
Stable RBF-FD Discretizations of
Advection--Diffusion--Reaction Equations
on Manifolds . . . . . . . . . . . . . . A2371--A2401
Giacomo Albi and
Giacomo Dimarco and
Lorenzo Pareschi Implicit-Explicit Multistep Methods for
Hyperbolic Systems With Multiscale
Relaxation . . . . . . . . . . . . . . . A2402--A2435
Zachary Morrow and
Miroslav Stoyanov A Method for Dimensionally Adaptive
Sparse Trigonometric Interpolation of
Periodic Functions . . . . . . . . . . . A2436--A2460
Alexander Heinlein and
Martin Lanser Additive and Hybrid Nonlinear Two-Level
Schwarz Methods and Energy Minimizing
Coarse Spaces for Unstructured Grids . . A2461--A2488
Qing Cheng and
Jie Shen Global Constraints Preserving Scalar
Auxiliary Variable Schemes for Gradient
Flows . . . . . . . . . . . . . . . . . A2489--A2513
Fukeng Huang and
Jie Shen and
Zhiguo Yang A Highly Efficient and Accurate New
Scalar Auxiliary Variable Approach for
Gradient Flows . . . . . . . . . . . . . A2514--A2536
Dohyun Kim and
Lina Zhao and
Eun-Jae Park Staggered DG Methods for the
Pseudostress-Velocity Formulation of the
Stokes Equations on General Meshes . . . A2537--A2560
Ondrej Maxian and
Charles S. Peskin An Immersed Boundary Method With Subgrid
Resolution and Improved Numerical
Stability Applied to Slender Bodies in
Stokes Flow . . . . . . . . . . . . . . B847--B868
Zheng Sun and
Cory D. Hauck Low-Memory, Discrete Ordinates,
Discontinuous Galerkin Methods for
Radiative Transport . . . . . . . . . . B869--B893
Luca Desiderio and
Silvia Falletta Efficient Solution of Two-Dimensional
Wave Propagation Problems by CQ-Wavelet
BEM: Algorithm and Applications . . . . B894--B920
Shusheng Chen and
Boxi Lin and
Yansu Li and
Chao Yan HLLC+: Low-Mach Shock-Stable HLLC-Type
Riemann Solver for All-Speed Flows . . . B921--B950
Md. Abdullah Al Mahbub and
Xiaoming He and
Nasrin Jahan Nasu and
Changxin Qiu and
Yifan Wang and
Haibiao Zheng A Coupled Multiphysics Model and a
Decoupled Stabilized Finite Element
Method for the Closed-Loop Geothermal
System . . . . . . . . . . . . . . . . . B951--B982
Tonghua Tian and
Yongyong Cai and
Xinming Wu and
Zaiwen Wen Ground States of Spin-$F$ Bose--Einstein
Condensates . . . . . . . . . . . . . . B983--B1013
Thomas Roy and
Tom B. Jönsthövel and
Christopher Lemon and
Andrew J. Wathen A Constrained Pressure-Temperature
Residual (CPTR) Method for
Non-Isothermal Multiphase Flow in Porous
Media . . . . . . . . . . . . . . . . . B1014--B1040
Baiying Dong and
Xiufang Feng and
Zhilin Li An FE-FD Method for Anisotropic Elliptic
Interface Problems . . . . . . . . . . . B1041--B1066
Andrea Beck and
Jakob Dürrwächter and
Thomas Kuhn and
Fabian Meyer and
Claus-Dieter Munz and
Christian Rohde $ h p$-Multilevel Monte Carlo Methods
for Uncertainty Quantification of
Compressible Navier--Stokes Equations B1067--B1091
Julian Valentin and
Daniel Hübner and
Michael Stingl and
Dirk Pflüger Gradient-Based Two-Scale Topology
Optimization With B-Splines on Sparse
Grids . . . . . . . . . . . . . . . . . B1092--B1114
Ariful Azad and
Aydin Buluç and
Xiaoye S. Li and
Xinliang Wang and
Johannes Langguth A Distributed-Memory Algorithm for
Computing a Heavy-Weight Perfect
Matching on Bipartite Graphs . . . . . . C143--C168
Nicolas Boullé and
Alex Townsend Computing with Functions in the Ball . . C169--C191
Paul Escapil-Inchauspé and
Carlos Jerez-Hanckes Helmholtz Scattering by Random Domains:
First-Order Sparse Boundary Element
Approximation . . . . . . . . . . . . . A2561--A2592
Ralf Zimmermann Hermite Interpolation and Data
Processing Errors on Riemannian Matrix
Manifolds . . . . . . . . . . . . . . . A2593--A2619
Ceren Gürkan and
Simon Sticko and
André Massing Stabilized Cut Discontinuous Galerkin
Methods for Advection-Reaction Problems A2620--A2654
Fei Xu and
Hehu Xie and
Ning Zhang A Parallel Augmented Subspace Method for
Eigenvalue Problems . . . . . . . . . . A2655--A2677
Pitágoras P. de Carvalho and
Enrique Fernández-Cara Numerical Stackelberg--Nash Control for
the Heat Equation . . . . . . . . . . . A2678--A2700
Alyson Fox and
James Diffenderfer and
Jeffrey Hittinger and
Geoffrey Sanders and
Peter Lindstrom Stability Analysis of Inline ZFP
Compression for Floating-Point Data in
Iterative Methods . . . . . . . . . . . A2701--A2730
Yue Wu and
Nick Polydorides A Multilevel Monte Carlo Estimator for
Matrix Multiplication . . . . . . . . . A2731--A2749
Caroline Geiersbach and
Winnifried Wollner A Stochastic Gradient Method With Mesh
Refinement for PDE-Constrained
Optimization Under Uncertainty . . . . . A2750--A2772
Martin J. Gander and
Felix Kwok and
Julien Salomon PARAOPT: a Parareal Algorithm for
Optimality Systems . . . . . . . . . . . A2773--A2802
Benjamin Peherstorfer Model Reduction for Transport-Dominated
Problems via Online Adaptive Bases and
Adaptive Sampling . . . . . . . . . . . A2803--A2836
Benjamin Peherstorfer and
Zlatko Drmac and
Serkan Gugercin Stability of Discrete Empirical
Interpolation and Gappy Proper
Orthogonal Decomposition with Randomized
and Deterministic Sampling Points . . . A2837--A2864
Sòlve Eidnes and
Lu Li Linearly Implicit Local and Global
Energy-Preserving Methods for PDEs with
a Cubic Hamiltonian . . . . . . . . . . A2865--A2888
Sonam Lama and
John Zweck and
Matthew Goeckner A Higher Order Moment Preserving
Reduction Scheme for the Stochastic
Weighted Particle Method . . . . . . . . A2889--A2909
Boxi Xu and
Jin Cheng and
Shingyu Leung and
Jianliang Qian Efficient Algorithms for Computing
Multidimensional Integral Fractional
Laplacians via Spherical Means . . . . . A2910--A2942
Juntao Huang and
Yingda Cheng An Adaptive Multiresolution
Discontinuous Galerkin Method with
Artificial Viscosity for Scalar
Hyperbolic Conservation Laws in
Multidimensions . . . . . . . . . . . . A2943--A2973
Ke Chen and
Qin Li and
Jianfeng Lu and
Stephen J. Wright Random Sampling and Efficient Algorithms
for Multiscale PDEs . . . . . . . . . . A2974--A3005
Vidhi Zala and
Mike Kirby and
Akil Narayan Structure-Preserving Function
Approximation via Convex Optimization A3006--A3029
Yunchang Seol and
Ming-Chih Lai Spectrally Accurate Algorithm for Points
Redistribution on Closed Curves . . . . A3030--A3054
Will Pazner Efficient Low-Order Refined
Preconditioners for High-Order
Matrix-Free Continuous and Discontinuous
Galerkin Methods . . . . . . . . . . . . A3055--A3083
Tyler Chen and
Erin Carson Predict-and-Recompute Conjugate Gradient
Variants . . . . . . . . . . . . . . . . A3084--A3108
Min Zhang and
Weizhang Huang and
Jianxian Qiu High-Order Conservative
Positivity-Preserving DG-Interpolation
for Deforming Meshes and Application to
Moving Mesh DG Simulation of Radiative
Transfer . . . . . . . . . . . . . . . . A3109--A3135
Delyan Z. Kalchev and
Panayot Vassilevski A Condensed Constrained Nonconforming
Mortar-Based Approach for
Preconditioning Finite Element
Discretization Problems . . . . . . . . A3136--A3156
Yuji Nakatsukasa and
Lloyd N. Trefethen An algorithm for real and complex
rational minimax approximation . . . . . A3157--A3179
Martin J. Gander and
Tommaso Vanzan Multilevel Optimized Schwarz Methods . . A3180--A3209
Joel Dahne and
Bruno Salvy Computation of Tight Enclosures for
Laplacian Eigenvalues . . . . . . . . . A3210--A3232
Dimitar K. Dimitrov and
Lourenço L. Peixoto An Efficient Algorithm for the Classical
Least Squares Approximation . . . . . . A3233--A3249
Zlatko Drmac and
Igor Mezi\'c and
Ryan Mohr On Least Squares Problems with Certain
Vandermonde--Khatri--Rao Structure with
Applications to DMD . . . . . . . . . . A3250--A3284
Wei Cai and
Xiaoguang Li and
Lizuo Liu A Phase Shift Deep Neural Network for
High Frequency Approximation and Wave
Problems . . . . . . . . . . . . . . . . A3285--A3312
R. Brunet and
V. Dolean and
M. J. Gander Natural Domain Decomposition Algorithms
for the Solution of Time-Harmonic
Elastic Waves . . . . . . . . . . . . . A3313--A3339
Tara Abrishami and
Nestor Guillen and
Parker Rule and
Zachary Schutzman and
Justin Solomon and
Thomas Weighill and
Si Wu Geometry of Graph Partitions via Optimal
Transport . . . . . . . . . . . . . . . A3340--A3366
Ana Budisa and
Wietse M. Boon and
Xiaozhe Hu Mixed-Dimensional Auxiliary Space
Preconditioners . . . . . . . . . . . . A3367--A3396
Ilona Ambartsumyan and
Wajih Boukaram and
Tan Bui-Thanh and
Omar Ghattas and
David Keyes and
Georg Stadler and
George Turkiyyah and
Stefano Zampini Hierarchical Matrix Approximations of
Hessians Arising in Inverse Problems
Governed by PDEs . . . . . . . . . . . . A3397--A3426
Nicholas J. Higham and
Theo Mary Sharper Probabilistic Backward Error
Analysis for Basic Linear Algebra
Kernels with Random Data . . . . . . . . A3427--A3446
Jeffrey M. Hokanson A Data-Driven McMillan Degree Lower
Bound . . . . . . . . . . . . . . . . . A3447--A3461
Sergey Petropavlovsky and
Semyon V. Tsynkov and
Eli Turkel Numerical Solution of $3$D Exterior
Unsteady Wave Propagation Problems Using
Boundary Operators . . . . . . . . . . . A3462--A3488
Benjamin Peherstorfer Sampling Low-Dimensional Markovian
Dynamics for Preasymptotically
Recovering Reduced Models from Data with
Operator Inference . . . . . . . . . . . A3489--A3515
Nick Alger and
Peng Chen and
Omar Ghattas Tensor Train Construction From Tensor
Actions, With Application to Compression
of Large High Order Derivative Tensors A3516--A3539
Federico Pichi and
Annalisa Quaini and
Gianluigi Rozza A Reduced Order Modeling Technique to
Study Bifurcating Phenomena: Application
to the Gross--Pitaevskii Equation . . . B1115--B1135
Xin Liu A Well-Balanced Asymptotic Preserving
Scheme for the Two-Dimensional Shallow
Water Equations Over Irregular Bottom
Topography . . . . . . . . . . . . . . . B1136--B1172
Michael V. Klibanov and
Thuy T. Le and
Loc H. Nguyen Numerical Solution of a Linearized
Travel Time Tomography Problem With
Incomplete Data . . . . . . . . . . . . B1173--B1192
Zhicheng Hu and
Zhenning Cai Burnett Spectral Method for High-Speed
Rarefied Gas Flows . . . . . . . . . . . B1193--B1226
Zhichao Peng and
Qi Tang and
Xian-Zhu Tang An Adaptive Discontinuous
Petrov--Galerkin Method for the
Grad--Shafranov Equation . . . . . . . . B1227--B1249
Jin Zhao and
Zhimin Zhang and
Wen-An Yong Vector-Type Boundary Schemes for the
Lattice Boltzmann Method Based on
Vector-BGK Models . . . . . . . . . . . B1250--B1270
Terry S. Haut and
Ben S. Southworth and
Peter G. Maginot and
Vladimir Z. Tomov Diffusion Synthetic Acceleration
Preconditioning for Discontinuous
Galerkin Discretizations of $ S_N $
Transport on High-Order Curved Meshes B1271--B1301
Matthew Norman and
Jeffrey Larkin A Holistic Algorithmic Approach to
Improving Accuracy, Robustness, and
Computational Efficiency for Atmospheric
Dynamics . . . . . . . . . . . . . . . . B1302--B1327
Fande Kong and
Yaqi Wang and
Derek R. Gaston and
Cody J. Permann and
Andrew E. Slaughter and
Alexander D. Lindsay and
Mark D. DeHart and
Richard C. Martineau A Highly Parallel Multilevel
Newton--Krylov--Schwarz Method with
Subspace-Based Coarsening and
Partition-Based Balancing for the
Multigroup Neutron Transport Equation on
Three-Dimensional Unstructured Meshes C193--C220
Field G. Van Zee Implementing High-Performance Complex
Matrix Multiplication via the 1M Method C221--C244
Doru Thom Popovici and
Martin D. Schatz and
Franz Franchetti and
Tze Meng Low A Flexible Framework for
Multidimensional DFTs . . . . . . . . . C245--C264
Sanja Singer and
Edoardo Di Napoli and
Vedran Novakovi\'c and
Gayatri Caklovi\'c The LAPW Method with Eigendecomposition
Based on the Hari--Zimmermann
Generalized Hyperbolic SVD . . . . . . . C265--C293
Jizu Huang and
Chao Yang and
Ying Wei Parallel Energy-Stable Solver for a
Coupled Allen--Cahn and Cahn--Hilliard
System . . . . . . . . . . . . . . . . . C294--C312
Kui Du and
Wu-Tao Si and
Xiao-Hui Sun Randomized Extended Average Block
Kaczmarz for Solving Least Squares . . . A3541--A3559
Anqi Fu and
Junzi Zhang and
Stephen Boyd Anderson Accelerated Douglas--Rachford
Splitting . . . . . . . . . . . . . . . A3560--A3583
Ian C. T. May and
Ronald D. Haynes and
Steven J. Ruuth Schwarz Solvers and Preconditioners for
the Closest Point Method . . . . . . . . A3584--A3609
Simon Telen and
Marc Van Barel and
Jan Verschelde A Robust Numerical Path Tracking
Algorithm for Polynomial Homotopy
Continuation . . . . . . . . . . . . . . A3610--A3637
Shun Zhang Primal-Dual Reduced Basis Methods for
Convex Minimization Variational
Problems: Robust True Solution a
Posteriori Error Certification and
Adaptive Greedy Algorithms . . . . . . . A3638--A3676
Christian Engwer and
Sandra May and
Andreas Nüßing and
Florian Streitbürger A Stabilized DG Cut Cell Method for
Discretizing the Linear Transport
Equation . . . . . . . . . . . . . . . . A3677--A3703
Kailiang Wu and
Tong Qin and
Dongbin Xiu Structure-Preserving Method for
Reconstructing Unknown Hamiltonian
Systems From Trajectory Data . . . . . . A3704--A3729
William Throwe and
Saul Teukolsky A High-Order, Conservative Integrator
with Local Time-Stepping . . . . . . . . A3730--A3760
Daniela Calvetti and
Monica Pragliola and
Erkki Somersalo Sparsity Promoting Hybrid Solvers for
Hierarchical Bayesian Inverse Problems A3761--A3784
Faycal Chaouqui and
Martin J. Gander and
Kévin Santugini-Repiquet A Continuous Analysis of
Neumann--Neumann Methods: Scalability
and New Coarse Spaces . . . . . . . . . A3785--A3811
Yermek Kapushev and
Ivan Oseledets and
Evgeny Burnaev Tensor Completion via Gaussian
Process--Based Initialization . . . . . A3812--A3824
Mohammad Alhawwary and
Zhijian Wang A Combined-Mode Fourier Analysis of DG
Methods for Linear Parabolic Problems A3825--A3858
Kaibo Hu and
Qian Zhang and
Zhimin Zhang Simple Curl-Curl-Conforming Finite
Elements in Two Dimensions . . . . . . . A3859--A3877
Daniela Calvetti and
Anna Cosmo and
Simona Perotto and
Erkki Somersalo Bayesian Mesh Adaptation for Estimating
Distributed Parameters . . . . . . . . . A3878--A3906
Bazyli Klockiewicz and
Eric Darve Sparse Hierarchical Preconditioners
Using Piecewise Smooth Approximations of
Eigenvectors . . . . . . . . . . . . . . A3907--A3931
Bao-Shan Wang and
Wai Sun Don and
Naveen K. Garg and
Alexander Kurganov Fifth-Order A-WENO Finite-Difference
Schemes Based on a New Adaptive
Diffusion Central Numerical Flux . . . . A3932--A3956
Buyang Li and
Jiang Yang and
Zhi Zhou Arbitrarily High-Order Exponential
Cut-Off Methods for Preserving Maximum
Principle of Parabolic Equations . . . . A3957--A3978
Nicolas Loizou and
Peter Richtárik Convergence Analysis of Inexact
Randomized Iterative Methods . . . . . . A3979--A4016
Jeffrey M. Hokanson and
Caleb C. Magruder $ \mathcal {H}_2 $-Optimal Model
Reduction Using Projected Nonlinear
Least Squares . . . . . . . . . . . . . A4017--A4045
Tobin Isaac Recursive, Parameter-Free, Explicitly
Defined Interpolation Nodes for
Simplices . . . . . . . . . . . . . . . A4046--A4062
Erin Carson and
Nicholas J. Higham and
Srikara Pranesh Three-Precision GMRES-Based Iterative
Refinement for Least Squares Problems A4063--A4083
P. E. Farrell and
P. A. Gazca-Orozco An Augmented Lagrangian Preconditioner
for Implicitly Constituted Non-Newtonian
Incompressible Flow . . . . . . . . . . B1329--B1349
Kai Jiang and
Wei Si and
Chang Chen and
Chenglong Bao Efficient Numerical Methods for
Computing the Stationary States of Phase
Field Crystal Models . . . . . . . . . . B1350--B1377
Patrick Chang and
Etienne Pienaar and
Tim Gebbie Malliavin--Mancino Estimators
Implemented with Nonuniform Fast Fourier
Transforms . . . . . . . . . . . . . . . B1378--B1403
Li Luo and
Xiao-Chuan Cai and
Zhengzheng Yan and
Lei Xu and
David E. Keyes A Multilayer Nonlinear Elimination
Preconditioned Inexact Newton Method for
Steady-State Incompressible Flow
Problems in Three Dimensions . . . . . . B1404--B1428
Daniel Drzisga and
Ulrich Rüde and
Barbara Wohlmuth Stencil Scaling for Vector-Valued PDEs
on Hybrid Grids With Applications to
Generalized Newtonian Fluids . . . . . . B1429--B1461
Yuehaw Khoo and
Lin Lin and
Michael Lindsey and
Lexing Ying Semidefinite Relaxation of Multimarginal
Optimal Transport for Strictly
Correlated Electrons in Second
Quantization . . . . . . . . . . . . . . B1462--B1489
Dexuan Xie and
Benzhuo Lu An Effective Finite Element Iterative
Solver for a Poisson--Nernst--Planck Ion
Channel Model with Periodic Boundary
Conditions . . . . . . . . . . . . . . . B1490--B1516
Wei Su and
Lianhua Zhu and
Lei Wu Fast Convergence and Asymptotic
Preserving of the General Synthetic
Iterative Scheme . . . . . . . . . . . . B1517--B1540
Chun Liu and
Yiwei Wang A Variational Lagrangian Scheme for a
Phase-Field Model: a Discrete Energetic
Variational Approach . . . . . . . . . . B1541--B1569
Ashok Das and
Jitendra Kumar and
Maksym Dosta and
Stefan Heinrich On the Approximate Solution and Modeling
of the Kernel of Nonlinear Breakage
Population Balance Equation . . . . . . B1570--B1598
Alfredo Buttari and
Sòren Hauberg and
Costy Kodsi Parallel $ Q R $ Factorization of
Block-Tridiagonal Matrices . . . . . . . C313--C334
Emmanuel Agullo and
Siegfried Cools and
Emrullah Fatih Yetkin and
Luc Giraud and
Nick Schenkels and
Wim Vanroose On Soft Errors in the Conjugate Gradient
Method: Sensitivity and Robust Numerical
Detection . . . . . . . . . . . . . . . C335--C358
Martin Hanek and
Jakub Sístek and
Pavel Burda Multilevel BDDC for Incompressible
Navier--Stokes Equations . . . . . . . . C359--C383
Christian Glusa and
Erik G. Boman and
Edmond Chow and
Sivasankaran Rajamanickam and
Daniel B. Szyld Scalable Asynchronous Domain
Decomposition Solvers . . . . . . . . . C384--C409
Vassilis Kalantzis A Domain Decomposition Rayleigh--Ritz
Algorithm for Symmetric Generalized
Eigenvalue Problems . . . . . . . . . . C410--C435
Santiago Badia and
Alberto F. Martín and
Eric Neiva and
Francesc Verdugo A Generic Finite Element Framework on
Parallel Tree-Based Adaptive Meshes . . C436--C468
Mark Embree and
Jennifer A. Loe and
Ronald Morgan Polynomial Preconditioned Arnoldi with
Stability Control . . . . . . . . . . . A1--A25
Bao Wang and
Difan Zou and
Quanquan Gu and
Stanley J. Osher Laplacian Smoothing Stochastic Gradient
Markov Chain Monte Carlo . . . . . . . . A26--A53
Davoud Mirzaei The Direct Radial Basis Function
Partition of Unity (D-RBF-PU) Method for
Solving PDEs . . . . . . . . . . . . . . A54--A83
Peter Benner and
Pawan Goyal Interpolation-Based Model Order
Reduction for Polynomial Systems . . . . A84--A108
Jed Brown and
Yunhui He and
Scott MacLachlan and
Matt Menickelly and
Stefan M. Wild Tuning Multigrid Methods with Robust
Optimization and Local Fourier Analysis A109--A138
Virginie Ehrlacher and
Laura Grigori and
Damiano Lombardi and
Hao Song Adaptive Hierarchical Subtensor
Partitioning for Tensor Compression . . A139--A163
Lin Lin and
Yu Tong Low-Rank Representation of Tensor
Network Operators with Long-Range
Pairwise Interactions . . . . . . . . . A164--A192
Jialin Liu and
Wotao Yin and
Wuchen Li and
Yat Tin Chow Multilevel Optimal Transport: a Fast
Approximation of Wasserstein-1 Distances A193--A220
Adrian Sandu and
Vladimir Tomov and
Lenka Cervena and
Tzanio Kolev Conservative High-Order Time Integration
for Lagrangian Hydrodynamics . . . . . . A221--A241
Kiera van der Sande and
Bengt Fornberg Fast Variable Density $3$-D Node
Generation . . . . . . . . . . . . . . . A242--A257
Nicholas J. Higham and
Srikara Pranesh Exploiting Lower Precision Arithmetic in
Solving Symmetric Positive Definite
Linear Systems and Least Squares
Problems . . . . . . . . . . . . . . . . A258--A277
Pierre-Henri Cocquet and
Martin J. Gander and
Xueshuang Xiang Closed Form Dispersion Corrections
Including a Real Shifted WaveNumber for
Finite Difference Discretizations of
$2$D Constant Coefficient Helmholtz
Problems . . . . . . . . . . . . . . . . A278--A308
Yiqi Gu and
Jie Shen An Efficient Spectral Method for
Elliptic PDEs in Complex Domains with
Circular Embedding . . . . . . . . . . . A309--A329
Pablo Antolin and
Annalisa Buffa and
Riccardo Puppi and
Xiaodong Wei Overlapping Multipatch Isogeometric
Method with Minimal Stabilization . . . A330--A354
Junxiong Jia and
Qian Zhao and
Zongben Xu and
Deyu Meng and
Yee Leung Variational Bayes' Method for Functions
with Applications to Some Inverse
Problems . . . . . . . . . . . . . . . . A355--A383
Mark Ainsworth and
Shuai Jiang Preconditioning the Mass Matrix for High
Order Finite Element Approximation on
Tetrahedra . . . . . . . . . . . . . . . A384--A414
Peter Benner and
Venera Khoromskaia and
Boris Khoromskij and
Cleophas Kweyu and
Matthias Stein Regularization of Poisson--Boltzmann
Type Equations with Singular Source
Terms Using the Range-Separated Tensor
Format . . . . . . . . . . . . . . . . . A415--A445
Daniel J. Agress and
Patrick Q. Guidotti The Smooth Extension Embedding Method A446--A471
Kailiang Wu and
Yulong Xing Uniformly High-Order
Structure-Preserving Discontinuous
Galerkin Methods for Euler Equations
with Gravitation: Positivity and
Well-Balancedness . . . . . . . . . . . A472--A510
Yuanpeng Zhu and
Xuli Han A Novel Recursive Modification Framework
for Enhancing Polynomial Reproduction
Property of Interpolation Basis
Functions . . . . . . . . . . . . . . . A511--A540
Xiaoliang Wan and
Jiayu Zhai A Minimum Action Method for Dynamical
Systems with Constant Time Delays . . . A541--A565
Michael P. Connolly and
Nicholas J. Higham and
Theo Mary Stochastic Rounding and Its
Probabilistic Backward Error Analysis A566--A585
Christian Krumnow and
Max Pfeffer and
André Uschmajew Computing Eigenspaces With Low Rank
Constraints . . . . . . . . . . . . . . A586--A608
Matthias Kirchhart and
Christian Rieger Discrete Projections: a Step Towards
Particle Methods on Bounded Domains
without Remeshing . . . . . . . . . . . A609--A635
Haotian Gu and
Jack Xin and
Zhiwen Zhang Error Estimates for a POD Method for
Solving Viscous $G$-Equations in
Incompressible Cellular Flows . . . . . A636--A662
Massimiliano Fasi and
Nicholas J. Higham Generating Extreme-Scale Matrices With
Specified Singular Values or Condition
Number . . . . . . . . . . . . . . . . . A663--A684
Zhenning Cai and
Xiaoyu Dong and
Yang Kuang On the Validity of Complex Langevin
Method for Path Integral Computations A685--A719
Chaojun Zhang and
Xiaoqun Wang and
Zhijian He Efficient Importance Sampling in
Quasi-Monte Carlo Methods for
Computational Finance . . . . . . . . . B1--B29
J. G. López-Salas and
S. Pérez-Rodríguez and
C. Vázquez AMFR-W Numerical Methods for Solving
High-Dimensional SABR/IBOR PDE Models B30--B54
Junjun Pan and
Michael K. Ng and
Ye Liu and
Xiongjun Zhang and
Hong Yan Orthogonal Nonnegative Tucker
Decomposition . . . . . . . . . . . . . B55--B81
Chenghua Duan and
Wenbin Chen and
Chun Liu and
Xingye Yue and
Shenggao Zhou Structure-Preserving Numerical Methods
for Nonlinear Fokker--Planck Equations
with Nonlocal Interactions by an
Energetic Variational Approach . . . . . B82--B107
Mi-Song Dupuy and
Gero Friesecke Inversion Symmetry of Singular Values
and a New Orbital Ordering Method in
Tensor Train Approximations for Quantum
Chemistry . . . . . . . . . . . . . . . B108--B131
John Mackenzie and
Christopher Rowlatt and
Robert Insall A Conservative Finite Element ALE Scheme
for Mass-Conservative Reaction-Diffusion
Equations on Evolving Two-Dimensional
Domains . . . . . . . . . . . . . . . . B132--B166
Guo-Dong Zhang and
Xiaoming He and
Xiaofeng Yang Decoupled, Linear, and Unconditionally
Energy Stable Fully Discrete Finite
Element Numerical Scheme for a Two-Phase
Ferrohydrodynamics Model . . . . . . . . B167--B193
Benedikt Perse and
Katharina Kormann and
Eric Sonnendrücker Geometric Particle-in-Cell Simulations
of the Vlasov--Maxwell System in
Curvilinear Coordinates . . . . . . . . B194--B218
Wei Liu and
Yongyong Cai Normalized Gradient Flow with Lagrange
Multiplier for Computing Ground States
of Bose--Einstein Condensates . . . . . B219--B242
Aditya Kashi and
Sivakumaran Nadarajah An Asynchronous Incomplete Block LU
Preconditioner for Computational Fluid
Dynamics on Unstructured Grids . . . . . C1--C30
Denis-Gabriel Caprace and
Thomas Gillis and
Philippe Chatelain FLUPS: a Fourier-Based Library of
Unbounded Poisson Solvers . . . . . . . C31--C60
Iryna Kulchytska-Ruchka and
Sebastian Schöps Efficient Parallel-in-Time Solution of
Time-Periodic Problems Using a
Multiharmonic Coarse Grid Correction . . C61--C88
Hossein Mahmoodi Darian Investigation of C++ Variadic Templates
for Numerical Methods and Finite
Difference Schemes . . . . . . . . . . . C89--C125
Ibrahim Almuslimani and
Gilles Vilmart Explicit Stabilized Integrators for
Stiff Optimal Control Problems . . . . . A721--A743
Ulrich Langer and
Olaf Steinbach and
Fredi Tröltzsch and
Huidong Yang Unstructured Space-Time Finite Element
Methods for Optimal Control of Parabolic
Equations . . . . . . . . . . . . . . . A744--A771
Shenglong Zhou and
Meijuan Shang and
Lili Pan and
Mu Li Newton Hard-Thresholding Pursuit for
Sparse Linear Complementarity Problem
via A New Merit Function . . . . . . . . A772--A799
M. Rakhuba Robust Alternating Direction Implicit
Solver in Quantized Tensor Formats for a
Three-Dimensional Elliptic PDE . . . . . A800--A827
José A. Carrillo and
Manuel J. Castro and
Serafim Kalliadasis and
Sergio P. Perez High-Order Well-Balanced Finite-Volume
Schemes for Hydrodynamic Equations With
Nonlocal Free Energy . . . . . . . . . . A828--A858
Erik Burman and
Matteo Cicuttin and
Guillaume Delay and
Alexandre Ern An Unfitted Hybrid High-Order Method
with Cell Agglomeration for Elliptic
Interface Problems . . . . . . . . . . . A859--A882
Yang Liu and
Xin Xing and
Han Guo and
Eric Michielssen and
Pieter Ghysels and
Xiaoye Sherry Li Butterfly Factorization Via Randomized
Matrix-Vector Multiplications . . . . . A883--A907
Yukun Li and
Yi Zhang Analysis of Adaptive Two-Grid Finite
Element Algorithms for Linear and
Nonlinear Problems . . . . . . . . . . . A908--A928
Dihan Dai and
Yekaterina Epshteyn and
Akil Narayan Hyperbolicity-Preserving and
Well-Balanced Stochastic Galerkin Method
for Shallow Water Equations . . . . . . A929--A952
Byeongseon Jeong and
Scott N. Kersey and
Jungho Yoon Approximation of Multivariate Functions
on Sparse Grids By Kernel-Based
Quasi-Interpolation . . . . . . . . . . A953--A979
Urban Duh and
Gregor Kosec and
Jure Slak Fast Variable Density Node Generation on
Parametric Surfaces with Application to
Mesh-Free Methods . . . . . . . . . . . A980--A1000
Daniela di Serafino and
Dominique Orban Constraint-Preconditioned Krylov Solvers
for Regularized Saddle-Point Systems . . A1001--A1026
Zhiguo Yang and
Li-Lian Wang and
Yang Gao A Truly Exact Perfect Absorbing Layer
for Time-Harmonic Acoustic Wave
Scattering Problems . . . . . . . . . . A1027--A1061
Zhaoxing Li and
Yanfang Liu and
Jiguang Sun and
Liwei Xu Quality-Bayesian Approach to Inverse
Acoustic Source Problems with Partial
Data . . . . . . . . . . . . . . . . . . A1062--A1080
Jehanzeb H. Chaudhry and
Luke N. Olson and
Peter Sentz A Least-Squares Finite Element Reduced
Basis Method . . . . . . . . . . . . . . A1081--A1107
Pascal Heid and
Thomas P. Wihler Adaptive Local Minimax Galerkin Methods
for Variational Problems . . . . . . . . A1108--A1133
Andrey A. Popov and
Changhong Mou and
Adrian Sandu and
Traian Iliescu A Multifidelity Ensemble Kalman Filter
with Reduced Order Control Variates . . A1134--A1162
Peng Chen and
Omar Ghattas Stein Variational Reduced Basis Bayesian
Inversion . . . . . . . . . . . . . . . A1163--A1193
Zhichao Peng and
Fengyan Li Asymptotic Preserving IMEX-DG-S Schemes
for Linear Kinetic Transport Equations
Based on Schur Complement . . . . . . . A1194--A1220
Tenavi Nakamura-Zimmerer and
Qi Gong and
Wei Kang Adaptive Deep Learning for
High-Dimensional
Hamilton--Jacobi--Bellman Equations . . A1221--A1247
Juan Zhang and
Cheng Wang and
Steven M. Wise and
Zhengru Zhang Structure-Preserving, Energy Stable
Numerical Schemes for a Liquid Thin Film
Coarsening Model . . . . . . . . . . . . A1248--A1272
Olga Gorynina and
Claude Le Bris and
Frederic Legoll Some Remarks on a Coupling Method for
the Practical Computation of Homogenized
Coefficients . . . . . . . . . . . . . . A1273--A1304
Kyongmin Yeo and
Dylan E. C. Grullon and
Fan-Keng Sun and
Duane S. Boning and
Jayant R. Kalagnanam Variational Inference Formulation for a
Model-Free Simulation of a Dynamical
System with Unknown Parameters by a
Recurrent Neural Network . . . . . . . . A1305--A1335
Mofdi El-Amrani and
Abdelouahed Ouardghi and
Mohammed Seaid Enriched Galerkin-Characteristics Finite
Element Method for Incompressible
Navier--Stokes Equations . . . . . . . . A1336--A1361
Christian Glusa and
Harbir Antil and
Marta D'Elia and
Bart van Bloemen Waanders and
Chester J. Weiss A Fast Solver for the Fractional
Helmholtz Equation . . . . . . . . . . . A1362--A1388
John Burkardt and
Yixuan Wu and
Yanzhi Zhang A Unified Meshfree Pseudospectral Method
for Solving Both Classical and
Fractional PDEs . . . . . . . . . . . . A1389--A1411
Vahid Keshavarzzadeh and
Robert M. Kirby and
Akil Narayan Multilevel Designed Quadrature for
Partial Differential Equations with
Random Inputs . . . . . . . . . . . . . A1412--A1440
Igor Tominec and
Elisabeth Larsson and
Alfa Heryudono A Least Squares Radial Basis Function
Finite Difference Method with Improved
Stability Properties . . . . . . . . . . A1441--A1471
Lu Zhang and
Siyang Wang and
N. Anders Petersson Elastic Wave Propagation in Curvilinear
Coordinates with Mesh Refinement
Interfaces by a Fourth Order Finite
Difference Method . . . . . . . . . . . A1472--A1496
J. W. Banks and
B. Brett Buckner and
T. Hagstrom and
K. Juhnke Discontinuous Galerkin Galerkin
Differences for the Wave Equation in
Second-Order Form . . . . . . . . . . . A1497--A1526
Ivan Gonzalez and
Rustum Choksi and
Jean-Christophe Nave A Simple Geometric Method for Navigating
the Energy Landscape of Centroidal
Voronoi Tessellations . . . . . . . . . A1527--A1554
Antti Hannukainen and
Nuutti Hyvönen and
Lauri Perkkiö Inverse Heat Source Problem and
Experimental Design for Determining Iron
Loss Distribution . . . . . . . . . . . B243--B270
L. Audibert and
L. Chesnel and
H. Haddar and
K. Napal Qualitative Indicator Functions for
Imaging Crack Networks Using Acoustic
Waves . . . . . . . . . . . . . . . . . B271--B297
L. B. Romijn and
J. H. M. ten Thije Boonkkamp and
M. J. H. Anthonissen and
W. L. IJzerman An Iterative Least-Squares Method for
Generated Jacobian Equations in Freeform
Optical Design . . . . . . . . . . . . . B298--B322
Kyle Thicke and
Alexander B. Watson and
Jianfeng Lu Computing Edge States without Hard
Truncation . . . . . . . . . . . . . . . B323--B353
Jehanzeb H. Chaudhry and
Ari E. Rappaport and
John N. Shadid An A Posteriori Error Analysis for the
Equations of Stationary Incompressible
Magnetohydrodynamics . . . . . . . . . . B354--B380
Stefano Berrone and
Denise Grappein and
Sandra Pieraccini and
Stefano Scialó A Three-field Based Optimization
Formulation for Flow Simulations in
Networks of Fractures on Nonconforming
Meshes . . . . . . . . . . . . . . . . . B381--B404
Andrea Bonito and
Murtazo Nazarov Numerical Simulations of Surface
Quasi-Geostrophic Flows on Periodic
Domains . . . . . . . . . . . . . . . . B405--B430
Jiao Li and
Kyle T. Mandli An $h$-Box Method for Shallow Water
Equations Including Barriers . . . . . . B431--B454
Hongpeng Sun and
Xue-Cheng Tai and
Jing Yuan Efficient and Convergent Preconditioned
ADMM for the Potts Models . . . . . . . B455--B478
Xiaofeng Yang On a Novel Fully Decoupled, Second-Order
Accurate Energy Stable Numerical Scheme
for a Binary Fluid-Surfactant
Phase-Field Model . . . . . . . . . . . B479--B507
Dimitrios Mitsotakis and
Hendrik Ranocha and
David I. Ketcheson and
Endre Süli A Conservative Fully Discrete Numerical
Method for the Regularized Shallow Water
Wave Equations . . . . . . . . . . . . . B508--B537
Vaclav Hapla and
Matthew G. Knepley and
Michael Afanasiev and
Christian Boehm and
Martin van Driel and
Lion Krischer and
Andreas Fichtner Fully Parallel Mesh I/O Using PETSc
DMPlex with an Application to Waveform
Modeling . . . . . . . . . . . . . . . . C127--C153
Swapnil Das and
James Demmel and
Kimon Fountoulakis and
Laura Grigori and
Michael W. Mahoney and
Shenghao Yang Parallel and Communication Avoiding
Least Angle Regression . . . . . . . . . C154--C176
Abhijit Ghosh and
Chittaranjan Mishra A Parallel Cyclic Reduction Algorithm
for Pentadiagonal Systems with
Application to a Convection-Dominated
Heston PDE . . . . . . . . . . . . . . . C177--C202
Ioannis P. A. Papadopoulos and
Patrick E. Farrell and
Thomas M. Surowiec Computing Multiple Solutions of Topology
Optimization Problems . . . . . . . . . A1555--A1582
José Querales and
Rodolfo Rodríguez and
Pablo Venegas Numerical Approximation of the
Displacement Formulation of the
Axisymmetric Acoustic Vibration Problem A1583--A1606
Tong Qin and
Zhen Chen and
John D. Jakeman and
Dongbin Xiu Data-Driven Learning of Nonautonomous
Systems . . . . . . . . . . . . . . . . A1607--A1624
Sergey Dolgov and
Dante Kalise and
Karl K. Kunisch Tensor Decomposition Methods for
High-dimensional
Hamilton--Jacobi--Bellman Equations . . A1625--A1650
Tom Gustafsson and
Rolf Stenberg and
Juha Videman Nitsche's Method for Kirchhoff Plates A1651--A1670
Robert C. Kirby and
Andreas Klöckner and
Ben Sepanski Finite Elements for Helmholtz Equations
with a Nonlocal Boundary Condition . . . A1671--A1691
Tommaso Buvoli Exponential Polynomial Block Methods . . A1692--A1722
L. Minah Yang and
Alyson Fox and
Geoffrey Sanders Rounding Error Analysis of Mixed
Precision Block Householder $ Q R $
Algorithms . . . . . . . . . . . . . . . A1723--A1753
Luis Ángel Larios-Cárdenas and
Frederic Gibou A Deep Learning Approach for the
Computation of Curvature in the
Level-Set Method . . . . . . . . . . . . A1754--A1779
Jingwei Li and
Xiao Li and
Lili Ju and
Xinlong Feng Stabilized Integrating Factor
Runge--Kutta Method and Unconditional
Preservation of Maximum Bound Principle A1780--A1802
Marco Sutti and
Bart Vandereycken Riemannian Multigrid Line Search for
Low-Rank Problems . . . . . . . . . . . A1803--A1831
Fukeng Huang and
Jie Shen Bound/Positivity Preserving and Energy
Stable Scalar auxiliary Variable Schemes
for Dissipative Systems: Applications to
Keller--Segel and
Poisson--Nernst--Planck Equations . . . A1832--A1857
Jeffrey M. Hokanson and
Paul G. Constantine A Lipschitz Matrix for Parameter
Reduction in Computational Science . . . A1858--A1880
Martin J. Gander and
Yongxiang Liu Is There More Than One
Dirichlet--Neumann Algorithm for the
Biharmonic Problem? . . . . . . . . . . A1881--A1906
Hussam Al Daas and
Laura Grigori and
Pierre Jolivet and
Pierre-Henri Tournier A Multilevel Schwarz Preconditioner
Based on a Hierarchy of Robust Coarse
Spaces . . . . . . . . . . . . . . . . . A1907--A1928
Xiaocheng Shang Accurate and Efficient Splitting Methods
for Dissipative Particle Dynamics . . . A1929--A1949
Kathryn P. Drake and
Edward J. Fuselier and
Grady B. Wright A Partition of Unity Method for
Divergence-Free or Curl-Free Radial
Basis Function Approximation . . . . . . A1950--A1974
Wancheng Sheng and
Qinglong Zhang and
Yuxi Zheng A Direct Eulerian GRP Scheme for a Blood
Flow Model in Arteries . . . . . . . . . A1975--A1996
J. Haubner and
M. Siebenborn and
M. Ulbrich A Continuous Perspective on Shape
Optimization via Domain Transformations A1997--A2018
Florian Schäfer and
Matthias Katzfuss and
Houman Owhadi Sparse Cholesky Factorization by
Kullback--Leibler Minimization . . . . . A2019--A2046
E. G. Birgin and
A. Laurain and
R. Massambone and
A. G. Santana A Shape Optimization Approach to the
Problem of Covering a Two-Dimensional
Region with Minimum-Radius Identical
Balls . . . . . . . . . . . . . . . . . A2047--A2078
Julius Reiss Optimization-Based Modal Decomposition
for Systems with Multiple Transports . . A2079--A2101
Francesca Boso and
Dimitris Boskos and
Jorge Cortés and
Sonia Martínez and
Daniel M. Tartakovsky Dynamics of Data-driven Ambiguity Sets
for Hyperbolic Conservation Laws with
Uncertain Inputs . . . . . . . . . . . . A2102--A2129
Victor DeCaria and
Ahmet Guzel and
William Layton and
Yi Li A Variable Stepsize, Variable Order
Family of Low Complexity . . . . . . . . A2130--A2160
Yat Tin Chow and
Fuqun Han and
Jun Zou A Direct Sampling Method for
Simultaneously Recovering Inhomogeneous
Inclusions of Different Nature . . . . . A2161--A2189
Sergey Dolgov and
Daniel Kressner and
Christoph Strössner Functional Tucker Approximation Using
Chebyshev Interpolation . . . . . . . . A2190--A2210
Ornela Mulita and
Stefano Giani and
Luca Heltai Quasi-Optimal Mesh Sequence Construction
through Smoothed Adaptive Finite Element
Methods . . . . . . . . . . . . . . . . A2211--A2241
Arielle Carr and
Eric de Sturler and
Serkan Gugercin Preconditioning Parametrized Linear
Systems . . . . . . . . . . . . . . . . A2242--A2267
Jamie Fox and
Giray Ökten Polynomial Chaos as a Control Variate
Method . . . . . . . . . . . . . . . . . A2268--A2294
Enrico Facca and
Michele Benzi Fast Iterative Solution of the Optimal
Transport Problem on Graphs . . . . . . A2295--A2319
John P. Ryan and
Anil Damle Parallel Skeletonization for Integral
Equations in Evolving Multiply-Connected
Domains . . . . . . . . . . . . . . . . A2320--A2351
Shingyu Leung and
Jianliang Qian and
Jiangtao Hu A Level-Set Adjoint-State Method for
Transmission Traveltime Tomography in
Irregular Domains . . . . . . . . . . . A2352--A2380
Yong Zhang and
Yu Zhao and
Zhennan Zhou A Unified Structure Preserving Scheme
for a Multispecies Model with a Gradient
Flow Structure and Nonlocal Interactions
via Singular Kernels . . . . . . . . . . B539--B569
Huibin Chang and
Roland Glowinski and
Stefano Marchesini and
Xue-Cheng Tai and
Yang Wang and
Tieyong Zeng Overlapping Domain Decomposition Methods
for Ptychographic Imaging . . . . . . . B570--B597
Firat Cakir and
Andrew Christlieb and
Yan Jiang A High Order Finite Difference Weighted
Essentially NonOscillatory Scheme with a
Kernel-Based Constrained Transport
Method for Ideal Magnetohydrodynamics B598--B622
Mario Annunziato and
Alfio Borz\`\i A Fokker--Planck Approach to the
Reconstruction of a Cell Membrane
Potential . . . . . . . . . . . . . . . B623--B649
Xiaolong Li and
Yifan Shi and
Sheung Chi Phillip Yam and
Hailiang Yang Fourier-Cosine Method for Finite-Time
Gerber--Shiu Functions . . . . . . . . . B650--B677
Ruchi Guo and
Jiahua Jiang Construct Deep Neural Networks based on
Direct Sampling Methods for Solving
Electrical Impedance Tomography . . . . B678--B711
Alexander Konschin Numerical Scheme for Electromagnetic
Scattering on Perturbed Periodic
Inhomogeneous Media and Reconstruction
of the Perturbation . . . . . . . . . . B712--B732
Victor P. DeCaria and
Cory D. Hauck and
Ming Tse P. Laiu Analysis of a New Implicit Solver for a
Semiconductor Model . . . . . . . . . . B733--B758
Min Tang and
Li Wang and
Xiaojiang Zhang Accurate Front Capturing Asymptotic
Preserving Scheme for Nonlinear Gray
Radiative Transfer Equation . . . . . . B759--B783
Lu Zhang and
Liwei Xu and
Tao Yin An Accurate HyperSingular Boundary
Integral Equation Method for Dynamic
Poroelasticity in Two Dimensions . . . . B784--B810
Xiaoli Chen and
Liu Yang and
Jinqiao Duan and
George Em Karniadakis Solving Inverse Stochastic Problems from
Discrete Particle Observations Using the
Fokker--Planck Equation and
Physics-Informed Neural Networks . . . . B811--B830
Nicola Demo and
Marco Tezzele and
Gianluigi Rozza A Supervised Learning Approach Involving
Active Subspaces for an Efficient
Genetic Algorithm in High-Dimensional
Optimization Problems . . . . . . . . . B831--B853
Santiago Badia and
Alberto F. Martín and
Eric Neiva and
Francesc Verdugo The Aggregated Unfitted Finite Element
Method on Parallel Tree-Based Adaptive
Meshes . . . . . . . . . . . . . . . . . C203--C234
Daoru Han and
Xiaoming He and
David Lund and
Xu Zhang PIFE-PIC: Parallel Immersed Finite
Element Particle-in-Cell for $3$-D
Kinetic Simulations of Plasma-Material
Interactions . . . . . . . . . . . . . . C235--C257
Michael Obersteiner and
Hans-Joachim Bungartz A Generalized Spatially Adaptive Sparse
Grid Combination Technique with
Dimension-wise Refinement . . . . . . . A2381--A2403
Pei Fu and
Gunilla Kreiss High Order Cut Discontinuous Galerkin
Methods for Hyperbolic Conservation Laws
in One Space Dimension . . . . . . . . . A2404--A2424
David Mora and
Iván Velásquez Virtual Elements for the Transmission
Eigenvalue Problem on Polytopal Meshes A2425--A2447
Martin Joachim Kühn and
Carola Kruse and
Ulrich Rüde Energy-Minimizing, Symmetric
Discretizations for Anisotropic Meshes
and Energy Functional Extrapolation . . A2448--A2473
Mark Ainsworth and
Justin Dong Galerkin Neural Networks: a Framework
for Approximating Variational Equations
with Error Control . . . . . . . . . . . A2474--A2501
Alexis Montoison and
Dominique Orban TriCG and TriMR: Two Iterative Methods
for Symmetric Quasi-definite Systems . . A2502--A2525
Lulu Liu and
David E. Keyes Approximate Error Bounds on Solutions of
Nonlinearly Preconditioned PDEs . . . . A2526--A2554
Alexandros Beskos and
Dan Crisan and
Ajay Jasra and
Nikolas Kantas and
Hamza Ruzayqat Score-Based Parameter Estimation for a
Class of Continuous-Time State Space
Models . . . . . . . . . . . . . . . . . A2555--A2580
John Tencer and
Kevin Potter A Tailored Convolutional Neural Network
for Nonlinear Manifold Learning of
Computational Physics Data Using
Unstructured Spatial Discretizations . . A2581--A2613
Lin Mu and
Xiu Ye and
Shangyou Zhang A Stabilizer-Free, Pressure-Robust, and
Superconvergence Weak Galerkin Finite
Element Method for the Stokes Equations
on Polytopal Mesh . . . . . . . . . . . A2614--A2637
James H. Adler and
Casey Cavanaugh and
Xiaozhe Hu and
Ludmil T. Zikatanov A Finite-Element Framework for a Mimetic
Finite-Difference Discretization of
Maxwell's Equations . . . . . . . . . . A2638--A2659
Konrad Kollnig and
Paolo Bientinesi and
Edoardo A. Di Napoli Rational Spectral Filters with Optimal
Convergence Rate . . . . . . . . . . . . A2660--A2684
Lei-Hong Zhang and
Xijun Ma and
Chungen Shen A Structure-Exploiting Nested
Lanczos-Type Iteration for the Multiview
Canonical Correlation Analysis . . . . . A2685--A2713
Ulrich Langer and
Marco Zank Efficient Direct Space-Time Finite
Element Solvers for Parabolic
Initial-Boundary Value Problems in
Anisotropic Sobolev Spaces . . . . . . . A2714--A2736
Andrew T. Barker and
Stephan V. Gelever and
Chak S. Lee and
Sarah V. Osborn and
Panayot S. Vassilevski Multilevel Spectral Coarsening for Graph
Laplacian Problems with Application to
Reservoir Simulation . . . . . . . . . . A2737--A2765
Xue-lei Lin and
Michael Ng An All-at-Once Preconditioner for
Evolutionary Partial Differential
Equations . . . . . . . . . . . . . . . A2766--A2784
Yangshuai Wang and
Huajie Chen and
Mingjie Liao and
Christoph Ortner and
Hao Wang and
Lei Zhang A Posteriori Error Estimates for
Adaptive QM/MM Coupling Methods . . . . A2785--A2808
Fengmiao Bian and
Xiaoqun Zhang A Three-Operator Splitting Algorithm for
Nonconvex Sparsity Regularization . . . A2809--A2839
Matteo Croci and
Michael Giles and
Patrick E. Farrell Multilevel Quasi Monte Carlo Methods for
Elliptic PDEs with Random Field
Coefficients via Fast White Noise
Sampling . . . . . . . . . . . . . . . . A2840--A2868
Nan Jiang and
Huanhuan Yang Stabilized Scalar Auxiliary Variable
Ensemble Algorithms for Parameterized
Flow Problems . . . . . . . . . . . . . A2869--A2896
Harbir Antil and
Patrick Dondl and
Ludwig Striet Approximation of Integral Fractional
Laplacian and Fractional PDEs via
sinc-Basis . . . . . . . . . . . . . . . A2897--A2922
Anyastassia Seboldt and
Oyekola Oyekole and
Josip Tambaca and
Martina Bukac Numerical Modeling of the
Fluid-Porohyperelastic Structure
Interaction . . . . . . . . . . . . . . A2923--A2948
Valentin Duruisseaux and
Jeremy Schmitt and
Melvin Leok Adaptive Hamiltonian Variational
Integrators and Applications to
Symplectic Accelerated Optimization . . A2949--A2980
Jolene Britton and
Yat Tin Chow and
Weitao Chen and
Yulong Xing Recovery of a Time-Dependent Bottom
Topography Function from the Shallow
Water Equations via an Adjoint Approach A2981--A3008
Hongqiang Zhu and
Haiyun Wang and
Zhen Gao A New Troubled-Cell Indicator for
Discontinuous Galerkin Methods Using
$K$-Means Clustering . . . . . . . . . . A3009--A3031
Arbaz Khan and
Catherine E. Powell Parameter-Robust Stochastic Galerkin
Mixed Approximation for Linear
Poroelasticity with Uncertain Inputs . . B855--B883
David Chappell and
Jonathan J. Crofts and
Martin Richter and
Gregor Tanner A Direction Preserving Discretization
for Computing Phase-Space Densities . . B884--B906
Yongwei Zhang and
Chupeng Ma and
Li-qun Cao and
Dongyang Shi Efficient Multiscale Algorithms for
Simulating Nonlocal Optical Response of
Metallic Nanostructure Arrays . . . . . B907--B936
Shi Jin and
Lei Li and
Zhenli Xu and
Yue Zhao A Random Batch Ewald Method for Particle
Systems with Coulomb Interactions . . . B937--B960
Wietse M. Boon and
Miroslav Kuchta and
Kent-Andre Mardal and
Ricardo Ruiz-Baier Robust Preconditioners for Perturbed
Saddle-Point Problems and Conservative
Discretizations of Biot's Equations
Utilizing Total Pressure . . . . . . . . B961--B983
E. Piersanti and
J. J. Lee and
T. Thompson and
K.-A. Mardal and
M. E. Rognes Parameter Robust Preconditioning by
Congruence for Multiple-Network
Poroelasticity . . . . . . . . . . . . . B984--B1007
Jörg Ostrowski and
Ralf Hiptmair Frequency-Stable Full Maxwell in
Electro-quasistatic Gauge . . . . . . . B1008--B1028
Khosro Shahbazi Positivity Preservation of a First-Order
Scheme for a Quasi-Conservative
Compressible Two-Material Model . . . . B1029--B1055
Anthony P. Austin and
Noel Chalmers and
Tim Warburton Initial Guesses for Sequences of Linear
Systems in a GPU-Accelerated
Incompressible Flow Solver . . . . . . . C259--C289
Navjot Singh and
Linjian Ma and
Hongru Yang and
Edgar Solomonik Comparison of Accuracy and Scalability
of Gauss--Newton and Alternating Least
Squares for CANDECOMC/PARAFAC
Decomposition . . . . . . . . . . . . . C290--C311
Zhaonan Dong and
Emmanuil H. Georgoulis and
Thomas Kappas GPU-Accelerated Discontinuous Galerkin
Methods on Polytopic Meshes . . . . . . C312--C334
Ion Victor Gosea and
Stefan Güttel Algorithms for the Rational
Approximation of Matrix-Valued Functions A3033--A3054
Sifan Wang and
Yujun Teng and
Paris Perdikaris Understanding and Mitigating Gradient
Flow Pathologies in Physics-Informed
Neural Networks . . . . . . . . . . . . A3055--A3081
Rujeko Chinomona and
Daniel R. Reynolds Implicit-Explicit Multirate
Infinitesimal GARK Methods . . . . . . . A3082--A3113
Xavier Emery and
Alfredo Alegría and
Daisy Arroyo Covariance Models and Simulation
Algorithm for Stationary Vector Random
Fields on Spheres Crossed with Euclidean
Spaces . . . . . . . . . . . . . . . . . A3114--A3134
Christian Beck and
Sebastian Becker and
Patrick Cheridito and
Arnulf Jentzen and
Ariel Neufeld Deep Splitting Method for Parabolic PDEs A3135--A3154
Xi-Yuan Yin and
Linan Chen and
Jean-Christophe Nave A Diffusion-Driven Characteristic
Mapping Method for Particle Management A3155--A3183
Yifei Wang and
Zeyu Jia and
Zaiwen Wen Search Direction Correction with
Normalized Gradient Makes First-Order
Methods Faster . . . . . . . . . . . . . A3184--A3211
Nicholas H. Nelsen and
Andrew M. Stuart The Random Feature Model for
Input-Output Maps between Banach Spaces A3212--A3243
Mingtao Xia and
Sihong Shao and
Tom Chou Efficient Scaling and Moving Techniques
for Spectral Methods in Unbounded
Domains . . . . . . . . . . . . . . . . A3244--A3268
Dmitry Golovaty and
Jose Alberto Montero and
Daniel Spirn A Variational Method for Generating
$n$-Cross Fields Using Higher-Order
$Q$-Tensors . . . . . . . . . . . . . . A3269--A3304
Dianming Hou and
Chuanju Xu Highly Efficient and Energy Dissipative
Schemes for the Time Fractional
Allen--Cahn Equation . . . . . . . . . . A3305--A3327
Edgar Solomonik and
James Demmel and
Torsten Hoefler Communication Lower Bounds of Bilinear
Algorithms for Symmetric Tensor
Contractions . . . . . . . . . . . . . . A3328--A3356
S. Blanes and
M. P. Calvo and
F. Casas and
J. M. Sanz-Serna Symmetrically Processed Splitting
Integrators for Enhanced Hamiltonian
Monte Carlo Sampling . . . . . . . . . . A3357--A3371
Peter J. Baddoo The AAAtrig Algorithm for Rational
Approximation of Periodic Functions . . A3372--A3392
A. A. Sivas and
B. S. Southworth and
S. Rhebergen AIR Algebraic Multigrid for a Space-Time
Hybridizable Discontinuous Galerkin
Discretization of Advection(-Diffusion) A3393--A3416
Yoonsang Lee $ l_p $ Regularization for Ensemble
Kalman Inversion . . . . . . . . . . . . A3417--A3437
Mark Ainsworth and
Yeonjong Shin Plateau Phenomenon in Gradient Descent
Training of RELU Networks: Explanation,
Quantification, and Avoidance . . . . . A3438--A3468
Christiaan C. Stolk A Time-Domain Preconditioner for the
Helmholtz Equation . . . . . . . . . . . A3469--A3502
Hong-lin Liao and
Tao Tang and
Tao Zhou An Energy Stable and Maximum Bound
Preserving Scheme with Variable Time
Steps for Time Fractional Allen--Cahn
Equation . . . . . . . . . . . . . . . . A3503--A3526
Xiangmin Jiao and
Xuebin Wang and
Qiao Chen Optimal and Low-Memory Near-Optimal
Preconditioning of Fully Implicit
Runge--Kutta Schemes for Parabolic PDEs A3527--A3551
Thorsten Hohage and
Christoph Lehrenfeld and
Janosch Preuß Learned Infinite Elements . . . . . . . A3552--A3579
Nanyi Zheng and
Xiaofeng Cai and
Jing-Mei Qiu and
Jianxian Qiu A Conservative Semi-Lagrangian Hybrid
Hermite WENO Scheme for Linear Transport
Equations and the Nonlinear
Vlasov--Poisson System . . . . . . . . . A3580--A3606
Tengchao Yu and
Hongqiao Wang and
Jinglai Li Maximum Conditional Entropy Hamiltonian
Monte Carlo Sampler . . . . . . . . . . A3607--A3626
Lukas Einkemmer and
Jingwei Hu and
Lexing Ying An Efficient Dynamical Low-Rank
Algorithm for the Boltzmann-BGK Equation
Close to the Compressible Viscous Flow
Regime . . . . . . . . . . . . . . . . . B1057--B1080
Maxime Stauffert and
Régis Duvigneau Shape Sensitivity Analysis in
Aerodynamics Using an Isogeometric
Discontinuous Galerkin Method . . . . . B1081--B1104
Giovanni Isotton and
Matteo Frigo and
Nicol\`o Spiezia and
Carlo Janna Chronos: a General Purpose Classical AMG
Solver for High Performance Computing C335--C357
Tom Manteuffel and
Irad Yavneh Special Section: 2020 Copper Mountain
Conference . . . . . . . . . . . . . . . Si--Si
Wei Bian and
Xiaojun Chen and
C. T. Kelley Anderson Acceleration for a Class of
Nonsmooth Fixed-Point Problems . . . . . S1--S20
Hans De Sterck and
Yunhui He On the Asymptotic Linear Convergence
Speed of Anderson Acceleration, Nesterov
Acceleration, and Nonlinear GMRES . . . S21--S46
Silvia Gazzola and
James G. Nagy and
Malena Sabaté Landman Iteratively Reweighted FGMRES and FLSQR
for Sparse Reconstruction . . . . . . . S47--S69
James H. Adler and
Thomas R. Benson and
Eric C. Cyr and
Patrick E. Farrell and
Scott P. MacLachlan and
Ray S. Tuminaro Monolithic Multigrid Methods for
Magnetohydrodynamics . . . . . . . . . . S70--S91
Alex Bespalov and
Daniel Loghin and
Rawin Youngnoi Truncation Preconditioners for
Stochastic Galerkin Finite Element
Discretizations . . . . . . . . . . . . S92--S116
Ani Miraçi and
Jan Papez and
Martin Vohralík A-Posteriori-Steered $p$-Robust
Multigrid with Optimal Step-Sizes and
Adaptive Number of Smoothing Steps . . . S117--S145
Jiahua Jiang and
Julianne Chung and
Eric de Sturler Hybrid Projection Methods with Recycling
for Inverse Problems . . . . . . . . . . S146--S172
Bart S. van Lith and
Per Christian Hansen and
Michiel E. Hochstenbach A Twin Error Gauge for Kaczmarz's
Iterations . . . . . . . . . . . . . . . S173--S199
James Baglama and
Tom Bella and
Jennifer Picucci Hybrid Iterative Refined Method for
Computing a Few Extreme Eigenpairs of a
Symmetric Matrix . . . . . . . . . . . . S200--S224
Drew P. Kouri and
Denis Ridzal and
Ray Tuminaro KKT Preconditioners for PDE-Constrained
Optimization with the Helmholtz Equation S225--S248
Tristan van Leeuwen and
Aleksandr Y. Aravkin Variable Projection for NonSmooth
Problems . . . . . . . . . . . . . . . . S249--S268
Nick Luiken and
Tristan van Leeuwen Relaxed Regularization for Linear
Inverse Problems . . . . . . . . . . . . S269--S292
Hillary R. Fairbanks and
Umberto Villa and
Panayot S. Vassilevski Multilevel Hierarchical Decomposition of
Finite Element White Noise with
Application to Multilevel Markov Chain
Monte Carlo . . . . . . . . . . . . . . S293--S316
Li Luo and
Xiao-Chuan Cai and
David E. Keyes Nonlinear Preconditioning Strategies for
Two-Phase Flows in Porous Media
Discretized by a Fully Implicit
Discontinuous Galerkin Method . . . . . S317--S344
Yi-Shu Du and
Ken Hayami and
Ning Zheng and
Keiichi Morikuni and
Jun-Feng Yin Kaczmarz-Type Inner-Iteration
Preconditioned Flexible GMRES Methods
for Consistent Linear Systems . . . . . S345--S366
Yang Liu and
Pieter Ghysels and
Lisa Claus and
Xiaoye Sherry Li Sparse Approximate Multifrontal
Factorization with Butterfly Compression
for High-Frequency Wave Equations . . . S367--S391
Stephen F. McCormick and
Joseph Benzaken and
Rasmus Tamstorf Algebraic Error Analysis for
Mixed-Precision Multigrid Solvers . . . S392--S419
Rasmus Tamstorf and
Joseph Benzaken and
Stephen F. McCormick Discretization-Error-Accurate
Mixed-Precision Multigrid Solvers . . . S420--S447
Moody T. Chu and
Matthew M. Lin Nonlinear Power-Like and SVD-Like
Iterative Schemes with Applications to
Entangled Bipartite Rank-1 Approximation S448--S474
Md. Masud Rana and
Victoria E. Howle and
Katharine Long and
Ashley Meek and
William Milestone A New Block Preconditioner for Implicit
Runge--Kutta Methods for Parabolic PDE
Problems . . . . . . . . . . . . . . . . S475--S495
Anne Greenbaum and
Hexuan Liu and
Tyler Chen On the Convergence Rate of Variants of
the Conjugate Gradient Algorithm in
Finite Precision Arithmetic . . . . . . S496--S515
Andrei Dumitrasc and
Philippe Leleux and
Constantin Popa and
Ulrich Ruede and
Daniel Ruiz Extensions of the Augmented Block
Cimmino Method to the Solution of Full
Rank Rectangular Systems . . . . . . . . S516--S539
Ruipeng Li and
Björn Sjögreen and
Ulrike Meier Yang A New Class of AMG Interpolation Methods
Based on Matrix--Matrix Multiplications S540--S564
Marcelino Anguiano and
Paul Kuberry and
Pavel Bochev and
Arif Masud Synchronous and Concurrent Multidomain
Computing Method for Cloud Computing
Platforms . . . . . . . . . . . . . . . S565--S591
Huda Nassar and
Georgios Kollias and
Ananth Grama and
David F. Gleich Scalable Algorithms for Multiple Network
Alignment . . . . . . . . . . . . . . . S592--S611
Yunhui He and
Sander Rhebergen and
Hans De Sterck Local Fourier Analysis of Multigrid for
Hybridized and Embedded Discontinuous
Galerkin Methods . . . . . . . . . . . . S612--S636
Alexandra Bünger and
Valeria Simoncini and
Martin Stoll A Low-Rank Matrix Equation Method for
Solving PDE-Constrained Optimization
Problems . . . . . . . . . . . . . . . . S637--S654
Chengyu Ke and
Miju Ahn and
Sunyoung Shin and
Yifei Lou Iteratively Reweighted Group Lasso Based
on Log-Composite Regularization . . . . S655--S678
Pasqua D'Ambra and
Fabio Durastante and
Salvatore Filippone AMG Preconditioners for Linear Solvers
towards Extreme Scale . . . . . . . . . S679--S703
Kelvin Kan and
Samy Wu Fung and
Lars Ruthotto PNKH-B: a Projected Newton--Krylov
Method for Large-Scale Bound-Constrained
Optimization . . . . . . . . . . . . . . S704--S726
Xiaozhe Hu and
Kaiyi Wu and
Ludmil T. Zikatanov A Posteriori Error Estimates for
Multilevel Methods for Graph Laplacians S727--S742
El Houcine Bergou and
Youssef Diouane and
Vyacheslav Kungurtsev and
Clément W. Royer A Nonmonotone Matrix-Free Algorithm for
Nonlinear Equality-Constrained
Least-Squares Problems . . . . . . . . . S743--S766
Jianlin Xia Robust and Effective eSIF
Preconditioning for General Dense SPD
Matrices . . . . . . . . . . . . . . . . S767--S790
Vassilis Kalantzis and
Yuanzhe Xi and
Lior Horesh Fast Randomized Non-Hermitian
Eigensolvers Based on Rational Filtering
and Matrix Partitioning . . . . . . . . S791--S815
Alexander Heinlein and
Axel Klawonn and
Martin Lanser and
Janine Weber Combining Machine Learning and Adaptive
Coarse Spaces --- a Hybrid Approach for
Robust FETI-DP Methods in Three
Dimensions . . . . . . . . . . . . . . . S816--S838
Daniele A. Di Pietroand Frank Hülsemann and
Pierre Matalon and
Paul Mycek and
Ulrich Rüde and
Daniel Ruiz An $H$-Multigrid Method for Hybrid
High-Order Discretizations . . . . . . . S839--S861
Sagi Buchatsky and
Eran Treister Full Waveform Inversion Using Extended
and Simultaneous Sources . . . . . . . . S862--S883
Tyrone Rees and
Michael Wathen An Element-Based Preconditioner for
Mixed Finite Element Problems . . . . . S884--S907
Shuonan Wu and
Zhi Zhou A Parallel-in-Time Algorithm for
High-Order BDF Methods for Diffusion and
Subdiffusion Equations . . . . . . . . . A3627--A3656
Nan Xu and
Peter Doerschuk Computation of Real-Valued Basis
Functions which Transform as Irreducible
Representations of the Polyhedral Groups A3657--A3676
Huoyuan Duan and
Junhua Ma and
Jun Zou Mixed Finite Element Method with Gauss's
Law Enforced for the Maxwell
Eigenproblem . . . . . . . . . . . . . . A3677--A3712
Vidhi Zala and
Robert M. Kirby and
Akil Narayan Structure-Preserving Nonlinear Filtering
for Continuous and Discontinuous
Galerkin Spectral/$ h p $ Element
Methods . . . . . . . . . . . . . . . . A3713--A3732
Mike A. Botchev and
Leonid Knizhnerman and
Eugene E. Tyrtyshnikov Residual and Restarting in Krylov
Subspace Evaluation of the $ \varphi $
Function . . . . . . . . . . . . . . . . A3733--A3759
Patrick Joly and
Maryna Kachanovska Local Transparent Boundary Conditions
for Wave Propagation in Fractal Trees
(I). Method and Numerical Implementation A3760--A3788
James Bremer and
Ze Chen and
Haizhao Yang Rapid Application of the Spherical
Harmonic Transform via Interpolative
Decomposition Butterfly Factorization A3789--A3808
Alejandro Allendes and
Gabriel R. Barrenechea and
Julia Novo A Divergence-Free Stabilized Finite
Element Method for the Evolutionary
Navier--Stokes Equations . . . . . . . . A3809--A3836
Hussam Al Daas and
Tyrone Rees and
Jennifer Scott Two-Level Nyström--Schur Preconditioner
for Sparse Symmetric Positive Definite
Matrices . . . . . . . . . . . . . . . . A3837--A3861
Xiu Yang and
Guzel Tartakovsky and
Alexandre M. Tartakovsky Physics Information Aided Kriging using
Stochastic Simulation Models . . . . . . A3862--A3891
Zhong-Zhi Bai and
Wen-Ting Wu On Greedy Randomized Augmented Kaczmarz
Method for Solving Large Sparse
Inconsistent Linear Systems . . . . . . A3892--A3911
Guosheng Fu Uniform Auxiliary Space Preconditioning
for HDG Methods for Elliptic Operators
with a Parameter Dependent Low Order
Term . . . . . . . . . . . . . . . . . . A3912--A3937
Marcello Longo and
Siddhartha Mishra and
T. Konstantin Rusch and
Christoph Schwab Higher-Order Quasi-Monte Carlo Training
of Deep Neural Networks . . . . . . . . A3938--A3966
Congpei An and
Hao-Ning Wu Lasso Hyperinterpolation Over General
Regions . . . . . . . . . . . . . . . . A3967--A3991
Clark R. Dohrmann Spectral Equivalence of Low-Order
Discretizations for High-Order $H$(curl)
and $H$(div) Spaces . . . . . . . . . . A3992--A4014
Wasilij Barsukow and
Jonas P. Berberich and
Christian Klingenberg On the Active Flux Scheme for Hyperbolic
PDEs with Source Terms . . . . . . . . . A4015--A4042
Mo Zhou and
Jiequn Han and
Jianfeng Lu Actor-Critic Method for High Dimensional
Static Hamilton--Jacobi--Bellman Partial
Differential Equations based on Neural
Networks . . . . . . . . . . . . . . . . A4043--A4066
Yohann Tendero and
Igor Ciril and
Jérôme Darbon and
Susana Serna An Algorithm Solving Compressive Sensing
Problem Based on Maximal Monotone
Operators . . . . . . . . . . . . . . . A4067--A4094
Anton Schiela and
Matthias Stöcklein and
Martin Weiser A Primal-Dual Projection Algorithm for
Efficient Constraint Preconditioning . . A4095--A4120
Samuel F. Potter and
Maria K. Cameron Jet Marching Methods for Solving the
Eikonal Equation . . . . . . . . . . . . A4121--A4146
Sheng Fang and
Yong-Jin Liu and
Xianzhu Xiong Efficient Sparse Hessian-Based
Semismooth Newton Algorithms for Dantzig
Selector . . . . . . . . . . . . . . . . A4147--A4171
Lu Lu and
Raphaël Pestourie and
Wenjie Yao and
Zhicheng Wang and
Francesc Verdugo and
Steven G. Johnson Physics-Informed Neural Networks with
Hard Constraints for Inverse Design . . B1105--B1132
Shimin Guo and
Liquan Mei and
Can Li and
Wenjing Yan and
Jinghuai Gao IMEX Hermite--Galerkin Spectral Schemes
with Adaptive Time Stepping for the
Coupled Nonlocal Gordon-Type Systems in
Multiple Dimensions . . . . . . . . . . B1133--B1163
Kailiang Wu Minimum Principle on Specific Entropy
and High-Order Accurate
Invariant-Region-Preserving Numerical
Methods for Relativistic Hydrodynamics B1164--B1197
Shuang Liu and
Qi Tang and
Xian-zhu Tang A Parallel Cut-Cell Algorithm for the
Free-Boundary Grad--Shafranov Problem B1198--B1225
Elena Gaburro and
Manuel J. Castro and
Michael Dumbser A Well Balanced Finite Volume Scheme for
General Relativity . . . . . . . . . . . B1226--B1251
Johannes Holke and
David Knapp and
Carsten Burstedde An Optimized, Parallel Computation of
the Ghost Layer for Adaptive Hybrid
Forest Meshes . . . . . . . . . . . . . C359--C385
L. A. T. Mororó and
F. P. van der Meer Parallel Computing with the Thick Level
Set Method . . . . . . . . . . . . . . . C386--C410
Chao Chen and
Tianyu Liang and
George Biros RCHOL: Randomized Cholesky Factorization
for Solving SDD Linear Systems . . . . . C411--C438
Tzanio Kolev and
Will Pazner Conservative and Accurate Solution
Transfer Between High-Order and
Low-Order Refined Finite Element Spaces A1--A27
Maximilien Germain and
Huyên Pham and
Xavier Warin Approximation Error Analysis of Some
Deep Backward Schemes for Nonlinear PDEs A28--A56
Nicolas Boullé and
Patrick E. Farrell and
Alberto Paganini Control of Bifurcation Structures using
Shape Optimization . . . . . . . . . . . A57--A76
Vladimir Fanaskov Gaussian Belief Propagation Solvers for
Nonsymmetric Systems of Linear Equations A77--A102
Johannes J. Brust and
Roummel F. Marcia and
Cosmin G. Petra and
Michael A. Saunders Large-Scale Optimization with Linear
Equality Constraints Using Reduced
Compact Representation . . . . . . . . . A103--A127
Michael Donello and
Mark H. Carpenter and
Hessam Babaee Computing Sensitivities in Evolutionary
Systems: A Real-Time Reduced Order
Modeling Strategy . . . . . . . . . . . A128--A149
Yiming Xu and
Vahid Keshavarzzadeh and
Robert M. Kirby and
Akil Narayan A Bandit-Learning Approach to
Multifidelity Approximation . . . . . . A150--A175
William Anderson and
Mohammad Farazmand Evolution of Nonlinear Reduced-Order
Solutions for PDEs with Conserved
Quantities . . . . . . . . . . . . . . . A176--A197
Boris Bonev and
Jan S. Hesthaven A Hierarchical Preconditioner for Wave
Problems in Quasilinear Complexity . . . A198--A229
Yong Liu and
Jianfang Lu and
Chi-Wang Shu An Essentially Oscillation-Free
Discontinuous Galerkin Method for
Hyperbolic Systems . . . . . . . . . . . A230--A259
Quanjun Lang and
Fei Lu Learning Interaction Kernels in
Mean-Field Equations of First-Order
Systems of Interacting Particles . . . . A260--A285
Takashi Goda and
Tomohiko Hironaka and
Wataru Kitade and
Adam Foster Unbiased MLMC Stochastic Gradient-Based
Optimization of Bayesian Experimental
Designs . . . . . . . . . . . . . . . . A286--A311
Adam A. 'Sliwiak and
Qiqi Wang A Trajectory-Driven Algorithm for
Differentiating SRB Measures on Unstable
Manifolds . . . . . . . . . . . . . . . A312--A336
Federico Danieli and
Ben S. Southworth and
Andrew J. Wathen Space-Time Block Preconditioning for
Incompressible Flow . . . . . . . . . . A337--A363
Benedict Leimkuhler and
Matthias Sachs Efficient Numerical Algorithms for the
Generalized Langevin Equation . . . . . A364--A388
Andrew Giuliani A Two-Dimensional Stabilized
Discontinuous Galerkin Method on
Curvilinear Embedded Boundary Grids . . A389--A415
Ben S. Southworth and
Oliver Krzysik and
Will Pazner and
Hans De Sterck Fast Solution of Fully Implicit
Runge--Kutta and Discontinuous Galerkin
in Time for Numerical PDEs, Part I: the
Linear Setting . . . . . . . . . . . . . A416--A443
Bennett Clayton and
Jean-Luc Guermond and
Bojan Popov Invariant Domain-Preserving
Approximations for the Euler Equations
with Tabulated Equation of State . . . . A444--A470
Lars Grüne and
Manuel Schaller and
Anton Schiela Efficient Model Predictive Control for
Parabolic PDEs with Goal Oriented Error
Estimation . . . . . . . . . . . . . . . A471--A500
Ziqing Xie and
Yongjun Yuan and
Jianxin Zhou On Solving Semilinear Singularly
Perturbed Neumann Problems for Multiple
Solutions . . . . . . . . . . . . . . . A501--A523
Michel Bergmann and
Michele Giuliano Carlino and
Angelo Iollo Second Order ADER Scheme for Unsteady
Advection-Diffusion on Moving Overset
Grids with a Compact Transmission
Condition . . . . . . . . . . . . . . . A524--A553
Ion Victor Gosea and
Serkan Gugercin and
Christopher Beattie Data-Driven Balancing of Linear
Dynamical Systems . . . . . . . . . . . A554--A582
Sander Rhebergen and
Garth N. Wells Preconditioning for a Pressure-Robust
HDG Discretization of the Stokes
Equations . . . . . . . . . . . . . . . A583--A604
Paola F. Antonietti and
Michele Botti and
Ilario Mazzieri and
Simone Nati Poltri A High-Order Discontinuous Galerkin
Method for the Poro-elasto-acoustic
Problem on Polygonal and Polyhedral
Grids . . . . . . . . . . . . . . . . . B1--B28
Ryan H. Vogt and
Sven Leyffer and
Todd S. Munson A Mixed-Integer PDE-Constrained
Optimization Formulation for
Electromagnetic Cloaking . . . . . . . . B29--B50
Lianghao Cao and
Omar Ghattas and
J. Tinsley Oden A Globally Convergent Modified Newton
Method for the Direct Minimization of
the Ohta--Kawasaki Energy with
Application to the Directed
Self-Assembly of Diblock Copolymers . . B51--B79
Liu Yang and
Constantinos Daskalakis and
George E. Karniadakis Generative Ensemble Regression: Learning
Particle Dynamics from Observations of
Ensembles with Physics-informed Deep
Generative Models . . . . . . . . . . . B80--B99
Qinglin Tang and
Manting Xie and
Yong Zhang and
Yuqing Zhang A Spectrally Accurate Numerical Method
for Computing the Bogoliubov--de Gennes
Excitations of Dipolar Bose--Einstein
Condensates . . . . . . . . . . . . . . B100--B121
Lingyue Shen and
Zhiliang Xu and
Ping Lin and
Huaxiong Huang and
Shixin Xu An Energy Stable $ C^0 $ Finite Element
Scheme for A Phase-Field Model of
Vesicle Motion and Deformation . . . . . B122--B145
Frédéric Legoll and
Tony Leli\`evre and
Upanshu Sharma An Adaptive Parareal Algorithm:
Application to the Simulation of
Molecular Dynamics Trajectories . . . . B146--B176
Chaoyu Liu and
Zhonghua Qiao and
Qian Zhang Two-Phase Segmentation for Intensity
Inhomogeneous Images by the Allen--Cahn
Local Binary Fitting Model . . . . . . . B177--B196
Hong Zhang and
Emil M. Constantinescu and
Barry F. Smith PETSc TSAdjoint: A Discrete Adjoint ODE
Solver for First-Order and Second-Order
Sensitivity Analysis . . . . . . . . . . C1--C24
Hussam Al Daas and
Grey Ballard and
Peter Benner Parallel Algorithms for Tensor Train
Arithmetic . . . . . . . . . . . . . . . C25--C53
Sumin Hong and
Ganghee Jang and
Won-Ki Jeong MG-FIM: A Multi-GPU Fast Iterative
Method Using Adaptive Domain
Decomposition . . . . . . . . . . . . . C54--C76
Qing Lu and
Junxian Wang and
Shi Shu and
Jie Peng Two-level Overlapping Schwarz Methods
Based on Local Generalized Eigenproblems
for Hermitian Variational Problems . . . A605--A635
Ben S. Southworth and
Oliver Krzysik and
Will Pazner Fast Solution of Fully Implicit
Runge--Kutta and Discontinuous Galerkin
in Time for Numerical PDEs, Part II:
Nonlinearities and DAEs . . . . . . . . A636--A663
Virginie Ehrlacher and
Maria Fuente Ruiz and
Damiano Lombardi SOTT: Greedy Approximation of a Tensor
as a Sum of Tensor Trains . . . . . . . A664--A688
Wei Wang and
Zhimin Zhang Spectral Element Methods for Eigenvalue
Problems Based on Domain Decomposition A689--A719
Bert Mortier and
Martine Baelmans and
Giovanni Samaey A Kinetic-Diffusion
Asymptotic-Preserving Monte Carlo
Algorithm for the Boltzmann--BGK Model
in the Diffusive Scaling . . . . . . . . A720--A744
Juntao Huang and
Yong Liu and
Yuan Liu and
Zhanjing Tao and
Yingda Cheng A Class of Adaptive Multiresolution
Ultra-Weak Discontinuous Galerkin
Methods for Some Nonlinear Dispersive
Wave Equations . . . . . . . . . . . . . A745--A769
Min Tao Minimization of $ L_1 $ Over $ L_2 $ for
Sparse Signal Recovery with Convergence
Guarantee . . . . . . . . . . . . . . . A770--A797
Ernesto G. Birgin and
Antoine Laurain and
Rafael Massambone and
Arthur G. Santana A Shape-Newton Approach to the Problem
of Covering with Identical Balls . . . . A798--A824
Erik Jansson and
Mihály Kovács and
Annika Lang Surface Finite Element Approximation of
Spherical Whittle--Matérn Gaussian Random
Fields . . . . . . . . . . . . . . . . . A825--A842
Alexander Novikov and
Maxim Rakhuba and
Ivan Oseledets Automatic Differentiation for Riemannian
Optimization on Low-Rank Matrix and
Tensor-Train Manifolds . . . . . . . . . A843--A869
Qiaohua Liu and
Sitao Ling and
Zhigang Jia Randomized Quaternion Singular Value
Decomposition for Low-Rank Matrix
Approximation . . . . . . . . . . . . . A870--A900
Mark Ainsworth and
Shuai Jiang A Systematic Approach to Constructing
Preconditioners for the hp-Version Mass
Matrix on Unstructured and Hybrid Finite
Element Meshes . . . . . . . . . . . . . A901--A934
Hao Liu and
Xue-Cheng Tai and
Roland Glowinski An Operator-Splitting Method for the
Gaussian Curvature Regularization Model
with Applications to Surface Smoothing
and Imaging . . . . . . . . . . . . . . A935--A963
Oscar P. Bruno and
Jagabandhu Paul Two-Dimensional Fourier Continuation and
Applications . . . . . . . . . . . . . . A964--A992
David F. Anderson and
Kurt W. Ehlert Conditional Monte Carlo for Reaction
Networks . . . . . . . . . . . . . . . . A993--A1019
David Gasperini and
Hans-Peter Biese and
Udo Schroeder and
Xavier Antoine and
Christophe Geuzaine A MultiHarmonic Finite Element Method
for Scattering Problems with
Small-Amplitude Boundary Deformations B197--B223
Ngoc Mai Monica Huynh and
Luca F. Pavarino and
Simone Scacchi Parallel Newton--Krylov BDDC and
FETI--DP Deluxe Solvers for Implicit
Time discretizations of the Cardiac
Bidomain Equations . . . . . . . . . . . B224--B249
Ketson R. dos Santos and
Dimitrios G. Giovanis and
Michael D. Shields Grassmannian Diffusion Maps-Based
Dimension Reduction and Classification
for High-Dimensional Data . . . . . . . B250--B274
Zhenning Cai and
Yanli Wang Numerical Solver for the Boltzmann
Equation with Self-Adaptive Collision
Operators . . . . . . . . . . . . . . . B275--B309
Yuan Gao and
Jian-Guo Liu Projection Method for Droplet Dynamics
on Groove-Textured Surface with Merging
and Splitting . . . . . . . . . . . . . B310--B338
Alexander Heinlein and
Mauro Perego and
Sivasankaran Rajamanickam FROSch Preconditioners for Land Ice
Simulations of Greenland and Antarctica B339--B367
Sebastiano Boscarino and
Jingmei Qiu and
Giovanni Russo and
Tao Xiong High Order Semi-implicit WENO Schemes
for All-Mach Full Euler System of Gas
Dynamics . . . . . . . . . . . . . . . . B368--B394
Ahmed Attia and
Sven Leyffer and
Todd S. Munson Stochastic Learning Approach for Binary
Optimization: Application to Bayesian
Optimal Design of Experiments . . . . . B395--B427
Steffen Börm and
Sven Christophersen and
Ronald Kriemann SemiAutomatic Task Graph Construction
for $ \mathcal {H} $-Matrix Arithmetic C77--C98
Tugba Torun and
F. Sukru Torun and
Murat Manguoglu and
Cevdet Aykanat Partitioning and Reordering for
Spike-Based Distributed-Memory Parallel
Gauss--Seidel . . . . . . . . . . . . . C99--C123
Nils Kohl and
Ulrich Rüde Textbook Efficiency: Massively Parallel
Matrix-Free Multigrid for the Stokes
System . . . . . . . . . . . . . . . . . C124--C155
Milinda Fernando and
Hari Sundar Scalable Local Timestepping on Octree
Grids . . . . . . . . . . . . . . . . . C156--C183
Wenjie Shi and
Daniel M. Tartakovsky Polynomial Chaos Expansions for Stiff
Random ODEs . . . . . . . . . . . . . . A1021--A1046
Hussam Al Daas and
Pierre Jolivet and
Jennifer A. Scott A Robust Algebraic Domain Decomposition
Preconditioner for Sparse Normal
Equations . . . . . . . . . . . . . . . A1047--A1068
Jingwei Liang and
Tao Luo and
Carola-Bibiane Schönlieb Improving ``Fast Iterative
Shrinkage-Thresholding Algorithm'':
Faster, Smarter, and Greedier . . . . . A1069--A1091
Lijie Mei and
Li Huang and
Xinyuan Wu Energy-Preserving Continuous-Stage
Exponential Runge--Kutta Integrators for
Efficiently Solving Hamiltonian Systems A1092--A1115
Clara Menzen and
Manon Kok and
Kim Batselier Alternating Linear Scheme in a Bayesian
Framework for Low-Rank Tensor
Approximation . . . . . . . . . . . . . A1116--A1144
Yuchen He and
Sung-Ha Kang and
Wenjing Liao and
Hao Liu and
Yingjie Liu Robust Identification of Differential
Equations by Numerical Techniques from a
Single Set of Noisy Observation . . . . A1145--A1175
Alexander Heinlein and
Axel Klawonn and
Jascha Knepper and
Oliver Rheinbach and
Olof B. Widlund Adaptive GDSW Coarse Spaces of Reduced
Dimension for Overlapping Schwarz
Methods . . . . . . . . . . . . . . . . A1176--A1204
Pablo D. Brubeck and
Lloyd N. Trefethen Lightning Stokes Solver . . . . . . . . A1205--A1226
Christina Paulin and
Antoine Llor and
Thibaud Vazquez-Gonzalez and
Jean-Philippe Perlat and
Éric Heulhard de Montigny Doubly Monotonic Constraint on
Interpolators: Bridging Second-Order to
Singularity Preservation to Cancel
``Numerical Wetting'' in Transport
Schemes . . . . . . . . . . . . . . . . A1227--A1253
Erik Burman and
Peter Hansbo and
Mats G. Larson Explicit Time Stepping for the Wave
Equation using CutFEM with Discrete
Extension . . . . . . . . . . . . . . . A1254--A1289
James Diffenderfer and
Daniel Osei-Kuffuor and
Harshitha Menon A Framework for Error-Bounded
Approximate Computing, with an
Application to Dot Products . . . . . . A1290--A1314
Vegard Antun Recovering Wavelet Coefficients from
Binary Samples Using Fast Transforms . . A1315--A1336
Stephen Metcalfe and
Thomas P. Wihler Conditional A Posteriori Error Bounds
for High Order Discontinuous Galerkin
Time Stepping Approximations of
Semilinear Heat Models with Blow-up . . A1337--A1357
Felipe Lepe and
Gonzalo Rivera and
Jesus Vellojin Mixed Methods for the
Velocity-Pressure-Pseudostress
Formulation of the Stokes Eigenvalue
Problem . . . . . . . . . . . . . . . . A1358--A1380
Hai Zhu and
Shravan Veerapaneni High-Order Close Evaluation of Laplace
Layer Potentials: a Differential
Geometric Approach . . . . . . . . . . . A1381--A1404
Steven Roberts and
Andrey A. Popov and
Arash Sarshar and
Adrian Sandu A Fast Time-Stepping Strategy for
Dynamical Systems Equipped with a
Surrogate Model . . . . . . . . . . . . A1405--A1427
Ruda Zhang and
Simon Mak and
David Dunson Gaussian Process Subspace Prediction for
Model Reduction . . . . . . . . . . . . A1428--A1449
Oleg Balabanov and
Laura Grigori Randomized Gram--Schmidt Process with
Application to GMRES . . . . . . . . . . A1450--A1474
Sören Bartels and
Frank Meyer and
Christian Palus Simulating Self-Avoiding Isometric Plate
Bending . . . . . . . . . . . . . . . . A1475--A1496
Jingwei Hu and
Xiaodong Huang and
Jie Shen and
Haizhao Yang A Fast Petrov--Galerkin Spectral Method
for the Multidimensional Boltzmann
Equation Using Mapped Chebyshev
Functions . . . . . . . . . . . . . . . A1497--A1524
Zhenyue Zhang and
Zheng Zhai and
Limin Li Graph Refinement via Simultaneously
Low-Rank and Sparse Approximation . . . A1525--A1553
Manuela Hund and
Tim Mitchell and
Petar Mlinari\'c and
Jens Saak Optimization-based Parametric Model
Order Reduction via $ \mathcal {H}_2
\otimes \mathcal {L}_2 $ First-order
Necessary Conditions . . . . . . . . . . A1554--A1578
Lulu Liu and
Feng-Nan Hwang and
Li Luo and
Xiao-Chuan Cai and
David E. Keyes A Nonlinear Elimination Preconditioned
Inexact Newton Algorithm . . . . . . . . A1579--A1605
Felix Bartel and
Daniel Potts and
Michael Schmischke Grouped Transformations and
Regularization in High-Dimensional
Explainable ANOVA Approximation . . . . A1606--A1631
Gero Friesecke and
Andreas S. Schulz and
Daniela Vögler Genetic Column Generation: Fast
Computation of High-Dimensional
Multimarginal Optimal Transport Problems A1632--A1654
Alexander Kurganov and
Yongle Liu and
Mária Lukácová-Medvidová A Well-Balanced Asymptotic Preserving
Scheme for the Two-Dimensional Rotating
Shallow Water Equations with Nonflat
Bottom Topography . . . . . . . . . . . A1655--A1680
Samuel E. Otto and
Alberto Padovan and
Clarence W. Rowley Optimizing Oblique Projections for
Nonlinear Systems using Trajectories . . A1681--A1702
Kazuki Koga Numerical Reparametrization of Periodic
Planar Curves Via Curvature
Interpolation . . . . . . . . . . . . . A1703--A1722
Saray Busto and
Michael Dumbser and
Ilya Peshkov and
Evgeniy Romenski On Thermodynamically Compatible Finite
Volume Schemes for Continuum Mechanics A1723--A1751
Zihao Yang and
Jizu Huang and
Xiaobing Feng and
Xiaofei Guan An Efficient MultiModes Monte Carlo
Homogenization Method for Random
Materials . . . . . . . . . . . . . . . A1752--A1774
Wing Tat Leung and
Yating Wang Multirate Partially Explicit Scheme for
Multiscale Flow Problems . . . . . . . . A1775--A1806
Meng Liu and
Jiaqing Yang The Sampling Method for Inverse Exterior
Stokes Problems . . . . . . . . . . . . B429--B456
Robert Altmann and
Roland Maier A Decoupling and Linearizing
Discretization for Weakly Coupled
Poroelasticity with Nonlinear
Permeability . . . . . . . . . . . . . . B457--B478
Mirjam Walloth and
Winnifried Wollner A Posteriori Estimator for the Adaptive
Solution of a Quasi-Static Fracture
Phase-Field Model with Irreversibility
Constraints . . . . . . . . . . . . . . B479--B505
Tapio Helin and
Nuutti Hyvönen and
Juha-Pekka Puska Edge-Promoting Adaptive Bayesian
Experimental Design for X-ray Imaging B506--B530
Paul Houston and
Connor J. Rourke and
Kristoffer G. van der Zee Linearization of the Travel Time
Functional in Porous Media Flows . . . . B531--B557
Max Ehre and
Iason Papaioannou and
Bruno Sudret and
Daniel Straub Sequential Active Learning of
Low-Dimensional Model Representations
for Reliability Analysis . . . . . . . . B558--B584
Jiaxiang Cai and
Hua Liang Compact Exponential Conservative
Approaches for the Schrödinger Equation
in the Semiclassical Regimes . . . . . . B585--B604
Riccardo Tenderini and
Stefano Pagani and
Alfio Quarteroni and
Simone Deparis PDE-Aware Deep Learning for Inverse
Problems in Cardiac Electrophysiology B605--B639
Isma\"\il Badia and
Boris Caudron and
Xavier Antoine and
Christophe Geuzaine A Well-Conditioned Weak Coupling of
Boundary Element and High-Order Finite
Element Methods for Time-Harmonic
Electromagnetic Scattering by
Inhomogeneous Objects . . . . . . . . . B640--B667
Tan Bui-Thanh and
Qin Li and
Leonardo Zepeda-Núñez Bridging and Improving Theoretical and
Computational Electrical Impedance
Tomography via Data Completion . . . . . B668--B693
Santolo Leveque and
John W. Pearson Parameter-Robust Preconditioning for
Oseen Iteration Applied to Stationary
and Instationary Navier--Stokes Control B694--B722
Bin Gao and
Guanghui Hu and
Yang Kuang and
Xin Liu An Orthogonalization-Free Parallelizable
Framework for All-Electron Calculations
in Density Functional Theory . . . . . . B723--B745
Mathias Oster and
Leon Sallandt and
Reinhold Schneider Approximating Optimal feedback
Controllers of Finite Horizon Control
Problems Using Hierarchical Tensor
Formats . . . . . . . . . . . . . . . . B746--B770
Geshuo Wang and
Zhenning Cai Differential Equation Based Path
Integral for Open Quantum Systems . . . B771--B804
Felipe Galarce and
Damiano Lombardi and
Olga Mula State Estimation with Model Reduction
and Shape Variability. Application to
biomedical problems . . . . . . . . . . B805--B833
Björn Liljegren-Sailer and
Nicole Marheineke On Port-Hamiltonian Approximation of a
Nonlinear Flow Problem on Networks . . . B834--B859
Heather Wilber and
Anil Damle and
Alex Townsend Data-Driven Algorithms for Signal
Processing with Trigonometric Rational
Functions . . . . . . . . . . . . . . . C185--C209
Aryan Eftekhari and
Simon Scheidegger High-Dimensional Dynamic Stochastic
Model Representation . . . . . . . . . . C210--C236
Guillaume Gbikpi-Benissan and
Frédéric Magoul\`es Asynchronous Multiplicative Coarse-Space
Correction . . . . . . . . . . . . . . . C237--C259
Nils Kohl and
Marcus Mohr and
Sebastian Eibl and
Ulrich Rüde A Massively Parallel
Eulerian--Lagrangian Method for
Advection-Dominated Transport in Viscous
Fluids . . . . . . . . . . . . . . . . . C260--C285
Philip Brandner and
Thomas Jankuhn and
Simon Praetorius and
Arnold Reusken and
Axel Voigt Finite Element Discretization Methods
for Velocity-Pressure and Stream
Function Formulations of Surface Stokes
Equations . . . . . . . . . . . . . . . A1807--A1832
Rifqi Aziz and
Emre Mengi and
Matthias Voigt Derivative Interpolating Subspace
Frameworks for Nonlinear Eigenvalue
Problems . . . . . . . . . . . . . . . . A1833--A1858
Assyr Abdulle and
Giacomo Rosilho de Souza Explicit Stabilized Multirate Method for
Stiff Stochastic Differential Equations A1859--A1883
Zhijian He and
Zhenghang Xu and
Xiaoqun Wang Unbiased MLMC-based Variational Bayes
for Likelihood-Free Inference . . . . . A1884--A1910
Yue Guo and
Felix Dietrich and
Tom Bertalan and
Danimir T. Doncevic and
Manuel Dahmen and
Ioannis G. Kevrekidis and
Qianxiao Li Personalized Algorithm Generation: a
Case Study in Learning ODE Integrators A1911--A1933
Elizabeth Qian and
Ionut-Gabriel Farcas and
Karen Willcox Reduced Operator Inference for Nonlinear
Partial Differential Equations . . . . . A1934--A1959
Kai Jiang and
Xuehong Su and
Juan Zhang A General Alternating-Direction Implicit
Framework with Gaussian Process
Regression Parameter Prediction for
Large Sparse Linear Systems . . . . . . A1960--A1988
Guoqiang Wang and
Wenjian Yu and
Xiubo Liang and
Yuanqing Wu and
Bo Yu An Iterative Reduction FISTA Algorithm
for Large-Scale LASSO . . . . . . . . . A1989--A2017
Yiqi Gu and
Michael K. Ng Deep Ritz Method for the Spectral
Fractional Laplacian Equation Using the
Caffarelli--Silvestre Extension . . . . A2018--A2036
Xiaofeng Cai and
Jing-Mei Qiu Eulerian--Lagrangian Runge--Kutta
Discontinuous Galerkin Method for
Transport Simulations on Unstructured
Meshes . . . . . . . . . . . . . . . . . A2037--A2060
Dong Wang An Efficient Unconditionally Stable
Method for Dirichlet Partitions in
Arbitrary Domains . . . . . . . . . . . A2061--A2088
Zexi Song and
Zhiqiang Tan On Irreversible Metropolis Sampling
Related to Langevin Dynamics . . . . . . A2089--A2120
Peter J. Noble and
Tobias Weinzierl A Multiresolution Discrete Element
Method for Triangulated Objects with
Implicit Time stepping . . . . . . . . . A2121--A2149
Kyongmin Yeo and
Zan Li and
Wesley Gifford Generative Adversarial Network for
Probabilistic Forecast of Random
Dynamical Systems . . . . . . . . . . . A2150--A2175
Gabriele Boncoraglio and
Charbel Farhat Piecewise-Global Nonlinear Model Order
Reduction for PDE-Constrained
Optimization in High-Dimensional
Parameter Spaces . . . . . . . . . . . . A2176--A2203
Kexin Li and
Hongwei Li and
Raymond H. Chan and
Youwei Wen Selecting Regularization Parameters for
Nuclear Norm-Type Minimization Problems A2204--A2225
Qifeng Zhang and
Lingling Liu and
Zhimin Zhang Linearly Implicit Invariant-Preserving
Decoupled Difference Scheme For The
Rotation-Two-Component Camassa--Holm
System . . . . . . . . . . . . . . . . . A2226--A2252
Mark Ainsworth and
Yeonjong Shin Active Neuron Least Squares: a Training
Method for Multivariate Rectified Neural
Networks . . . . . . . . . . . . . . . . A2253--A2275
Chun Liu and
Cheng Wang and
Yiwei Wang A Second-Order Accurate, Operator
Splitting Scheme for Reaction--Diffusion
Systems in an Energetic Variational
Formulation . . . . . . . . . . . . . . A2276--A2301
Hao-Jun Michael Shi and
Yuchen Xie and
Melody Qiming Xuan and
Jorge Nocedal Adaptive Finite-Difference Interval
Estimation for Noisy Derivative-Free
Optimization . . . . . . . . . . . . . . A2302--A2321
Elizabeth Newman and
Julianne Chung and
Matthias Chung and
Lars Ruthotto slimTrain --- a Stochastic Approximation
Method for Training Separable Deep
Neural Networks . . . . . . . . . . . . A2322--A2348
Olof B. Widlund and
Simone Scacchi and
Luca F. Pavarino BDDC Deluxe Algorithms for
Two-Dimensional $ H({\rm curl}) $
Isogeometric Analysis . . . . . . . . . A2349--A2369
Chang-En Du and
Ching-Sung Liu Newton--Noda Iteration for Computing the
Ground States of Nonlinear Schrödinger
Equations . . . . . . . . . . . . . . . A2370--A2385
Jun Liu and
Shu-Lin Wu Parallel-in-time preconditioner for the
Sinc--Nyström systems . . . . . . . . . . A2386--A2411
Emre Mengi Large-Scale Estimation of Dominant Poles
of a Transfer Function by an
Interpolatory Framework . . . . . . . . A2412--A2438
Stefan Güttel and
Gian Maria Negri Porzio and
Françoise Tisseur Robust Rational Approximations of
Nonlinear Eigenvalue Problems . . . . . A2439--A2463
Wei Gong and
Jiajie Li and
Shengfeng Zhu Improved Discrete Boundary Type Shape
Gradients for PDE-constrained Shape
Optimization . . . . . . . . . . . . . . A2464--A2505
Christophe Berthon and
Sol\`ene Bulteau and
Françoise Foucher and
Meissa M'Baye and
Victor Michel-Dansac A Very Easy High-Order Well-Balanced
Reconstruction for Hyperbolic Systems
with Source Terms . . . . . . . . . . . A2506--A2535
Andreas Frommer and
Mostafa Nasr Khalil and
Gustavo Ramirez-Hidalgo A Multilevel Approach to Variance
Reduction in the Stochastic Estimation
of the Trace of a Matrix . . . . . . . . A2536--A2556
John Maclean and
J. E. Bunder and
I. G. Kevrekidis and
A. J. Roberts Adaptively Detect and Accurately Resolve
Macro-scale Shocks in an Efficient
Equation-Free Multiscale Simulation . . A2557--A2581
Hussam Al Daas and
Pierre Jolivet A Robust Algebraic Multilevel Domain
Decomposition Preconditioner for Sparse
Symmetric Positive Definite Matrices . . A2582--A2598
Thomas Bellotti and
Lo\"\ic Gouarin and
Benjamin Graille and
Marc Massot Multiresolution-Based Mesh Adaptation
and Error Control for Lattice Boltzmann
Methods with Applications to Hyperbolic
Conservation Laws . . . . . . . . . . . A2599--A2627
Matthew J. Picklo and
Jennifer K. Ryan Enhanced MultiResolution Analysis for
MultiDimensional Data Utilizing Line
Filtering Techniques . . . . . . . . . . A2628--A2650
Benjamin K. Tapley Geometric Integration of ODEs Using
Multiple Quadratic Auxiliary Variables A2651--A2668
Dario Bini and
Guy Latouche and
Beatrice Meini Numerical Solution of a Matrix Integral
Equation Arising in Markov-Modulated Lévy
Processes . . . . . . . . . . . . . . . A2669--A2690
Stephan Dahlke and
Helmut Harbrecht and
Thomas M. Surowiec A Wavelet-Based Approach for the
Simulation and Optimal Control of
NonLocal Operator Equations . . . . . . A2691--A2708
Kai Yang Arbitrarily High-Order Conservative
Schemes for the Generalized Korteweg--de
Vries Equation . . . . . . . . . . . . . A2709--A2733
Matthias Mayr and
Luc Berger-Vergiat and
Peter Ohm and
Ray S. Tuminaro NonInvasive Multigrid For SemiStructured
Grids . . . . . . . . . . . . . . . . . A2734--A2764
Takashi Goda and
Pierre L'Ecuyer Construction-Free Median Quasi-Monte
Carlo Rules for Function Spaces with
Unspecified Smoothness and General
Weights . . . . . . . . . . . . . . . . A2765--A2788
Zhengjie Sun and
Leevan Ling A Kernel-Based Meshless Conservative
Galerkin Method for Solving Hamiltonian
Wave Equations . . . . . . . . . . . . . A2789--A2807
Ahmed Attia and
Emil Constantinescu Optimal Experimental Design for Inverse
Problems in the Presence of Observation
Correlations . . . . . . . . . . . . . . A2808--A2842
Davide Palitta and
Stefano Pozza and
Valeria Simoncini The Short-Term Rational Lanczos Method
and Applications . . . . . . . . . . . . A2843--A2870
Candan Güdücü and
Jörg Liesen and
Volker Mehrmann and
Daniel B. Szyld On Non-Hermitian Positive (Semi)Definite
Linear Algebraic Systems Arising from
Dissipative Hamiltonian DAEs . . . . . . A2871--A2894
Yong Gao and
Wangtao Lu Wave Scattering in Layered Orthotropic
Media I: a Stable PML and a
High-Accuracy Boundary Integral Equation
Method . . . . . . . . . . . . . . . . . B861--B884
Reza MohammadiArani and
Mehdi Dehghan and
Mostafa Abbaszadeh Proper Orthogonal Decomposition--Lattice
Boltzmann Method: Simulating the Air
Pollutant Problem in Street Canyon Areas B885--B909
Limin Ma and
Shudan Tian New Fourth Order Postprocessing
Techniques for Plate Bending Eigenvalues
by Morley Element . . . . . . . . . . . B910--B937
Jisheng Kou and
Xiuhua Wang and
ShiGui Du Energy Stable and Mass Conservative
Numerical Method for Gas Flow in Porous
Media with Rock Compressibility . . . . B938--B963
Verónica Anaya and
Arbaz Khan and
David Mora and
Ricardo Ruiz-Baier Robust A Posteriori Error Analysis for
Rotation-Based Formulations of the
Elasticity/Poroelasticity Coupling . . . B964--B995
Xiaocong Xu and
Yajun Zhu and
Chang Liu and
Kun Xu UGKS-Based Implicit Iterative Method for
Multiscale Nonequilibrium Flow
Simulations . . . . . . . . . . . . . . B996--B1017
Fabian Laakmann and
Patrick E. Farrell and
Lawrence Mitchell An Augmented Lagrangian Preconditioner
for the Magnetohydrodynamics Equations
at High Reynolds and Coupling Numbers B1018--B1044
Qing He and
Jingwei Hu and
Zhennan Zhou A Structure Preserving Numerical Scheme
for Fokker--Planck Equations of
Structured Neural Networks with Learning
Rules . . . . . . . . . . . . . . . . . B1045--B1067
Yingzhi Liu and
Yassine Boubendir and
Xiaoming He and
Yinnian He New Optimized Robin--Robin Domain
Decomposition Methods using Krylov
Solvers for the Stokes--Darcy System . . B1068--B1095
Heather M. Switzer and
Andreas Stathopoulos and
Eloy Romero and
Jesse Laeuchli and
Kostas Orginos Probing for the Trace Estimation of a
Permuted Matrix Inverse Corresponding to
a Lattice Displacement . . . . . . . . . B1096--B1121
Nedialko Nedialkov and
John D. Pryce and
Lena Scholz An Energy-Based, Always Index $ \leq 1 $
and Structurally Amenable Electrical
Circuit Model . . . . . . . . . . . . . B1122--B1147
Wietse M. Boon and
Timo Koch and
Miroslav Kuchta and
Kent-André Mardal Robust Monolithic Solvers for the
Stokes--Darcy Problem with the Darcy
Equation in Primal Form . . . . . . . . B1148--B1174
Stephan Schmidt and
Melanie Gräßer and
Hans-Joachim Schmid A Shape Newton Scheme for Deforming
Shells with Application to Capillary
Bridges . . . . . . . . . . . . . . . . B1175--B1194
Jian Cheng and
Fan Zhang A Bound-Preserving and
Positivity-Preserving Path-Conservative
Discontinuous Galerkin Method for
Solving Five-Equation Model of
Compressible Two-Medium Flows . . . . . B1195--B1220
Melven Röhrig-Zöllner and
Jonas Thies and
Achim Basermann Performance of the Low-Rank TT-SVD for
Large Dense Tensors on Modern MultiCore
CPUs . . . . . . . . . . . . . . . . . . C287--C309
Joseph V. Pusztay and
Matthew G. Knepley and
Mark F. Adams Conservative Projection Between Finite
Element and Particle Bases . . . . . . . C310--C319
Raphael Watschinger and
Michal Merta and
Günther Of and
Jan Zapletal A Parallel Fast Multipole Method for a
Space-Time Boundary Element Method for
the Heat Equation . . . . . . . . . . . C320--C345
Eric Bezzam and
Sepand Kashani and
Paul Hurley and
Martin Vetterli and
Matthieu Simeoni pyFFS: a Python Library for Fast Fourier
Series Computation and Interpolation
with GPU Acceleration . . . . . . . . . C346--C366
Timo Betcke and
Erik Burman and
Matthew W. Scroggs Boundary Element Methods for Helmholtz
Problems With Weakly Imposed Boundary
Conditions . . . . . . . . . . . . . . . A2895--A2917
Jianbo Cui and
Luca Dieci and
Haomin Zhou A Continuation Multiple Shooting Method
for Wasserstein Geodesic Equation . . . A2918--A2943
Ioannis Toulopoulos Numerical Solutions of Quasilinear
Parabolic Problems by a Continuous
Space-Time Finite Element Scheme . . . . A2944--A2973
Benjamin Pachev and
Jared P. Whitehead and
Shane A. McQuarrie Concurrent MultiParameter Learning
Demonstrated on the
Kuramoto--Sivashinsky Equation . . . . . A2974--A2990
Pablo D. Brubeck and
Patrick E. Farrell A Scalable and Robust Vertex-Star
Relaxation for High-Order FEM . . . . . A2991--A3017
Kathryn P. Drake and
Edward J. Fuselier and
Grady B. Wright Implicit Surface Reconstruction With a
Curl-Free Radial Basis Function
Partition of Unity Method . . . . . . . A3018--A3040
Xiaofeng Ou and
Jianlin Xia SuperDC: Superfast Divide-And-Conquer
Eigenvalue Decomposition With Improved
Stability for Rank-Structured Matrices A3041--A3066
Samuel M. Greene and
Robert J. Webber and
Timothy C. Berkelbach and
Jonathan Weare Approximating Matrix Eigenvalues by
Subspace Iteration with Repeated Random
Sparsification . . . . . . . . . . . . . A3067--A3097
Jian Dong and
Xu Qian Well-Balanced and Positivity-Preserving
Surface Reconstruction Schemes Solving
Ripa Systems With Nonflat Bottom
Topography . . . . . . . . . . . . . . . A3098--A3129
Yiqi Gu and
Michael K. Ng Deep Adaptive Basis Galerkin Method for
High-Dimensional Evolution Equations
With Oscillatory Solutions . . . . . . . A3130--A3157
Zheyuan Hu and
Ameya D. Jagtap and
George Em Karniadakis and
Kenji Kawaguchi When Do Extended Physics-Informed Neural
Networks (XPINNs) Improve
Generalization? . . . . . . . . . . . . A3158--A3182
Zhengqi Zhang and
Zhi Zhou Backward Diffusion-Wave Problem:
Stability, Regularization, and
Approximation . . . . . . . . . . . . . A3183--A3216
Adrien Laurent A Uniformly Accurate Scheme for the
Numerical Integration of Penalized
Langevin Dynamics . . . . . . . . . . . A3217--A3243
Behnam Hashemi and
Yuji Nakatsukasa Least-Squares Spectral Methods for ODE
Eigenvalue Problems . . . . . . . . . . A3244--A3264
Vu Thai Luan and
Rujeko Chinomona and
Daniel R. Reynolds Multirate Exponential Rosenbrock Methods A3265--A3289
Adam A. 'Sliwiak and
Qiqi Wang Space-Split Algorithm for Sensitivity
Analysis of Discrete Chaotic Systems
With Multidimensional Unstable Manifolds A3290--A3316
Boyang Ye and
Shi Jin and
Yulong Xing and
Xinghui Zhong Hamiltonian-Preserving Discontinuous
Galerkin Methods for the Liouville
Equation With Discontinuous Potential A3317--A3340
Michael V. Klibanov and
Jingzhi Li and
Wenlong Zhang A Globally Convergent Numerical Method
for a $3$D Coefficient Inverse Problem
for a Wave-Like Equation . . . . . . . . A3341--A3365
Alexandre Ern and
Jean-Luc Guermond Invariant-Domain-Preserving High-Order
Time Stepping: I. Explicit Runge--Kutta
Schemes . . . . . . . . . . . . . . . . A3366--A3392
Alex Bespalov and
David J. Silvester and
Feng Xu Error Estimation and Adaptivity for
Stochastic Collocation Finite Elements.
Part I: Single-Level Approximation . . . A3393--A3412
Cuiyang Ding and
Changhao Yan and
Xuan Zeng and
Wei Cai A Parallel Iterative Probabilistic
Method for Mixed Problems of Laplace
Equations with the Feynman--Kac Formula
of Killed Brownian Motions . . . . . . . A3413--A3435
Lina Zhao A Robin-Type Domain Decomposition Method
for a Novel Mixed-Type DG Method for the
Coupled Stokes--Darcy Problem . . . . . B1221--B1256
Ruming Zhang High Order Complex Contour
Discretization Methods to Simulate
Scattering Problems in Locally Perturbed
Periodic Waveguides . . . . . . . . . . B1257--B1281
Simon Dirckx and
Daan Huybrechs and
Karl Meerbergen Frequency Extraction for BEM Matrices
Arising From the $3$D Scalar Helmholtz
Equation . . . . . . . . . . . . . . . . B1282--B1311
Eric Canc\`es and
Genevi\`eve Dusson and
Gaspard Kemlin and
Antoine Levitt Practical Error Bounds for Properties in
Plane-Wave Electronic Structure
Calculations . . . . . . . . . . . . . . B1312--B1340
Thomas Gillis and
Wim M. van Rees MURPHY --- a Scalable Multiresolution
Framework for Scientific Computing on
$3$D Block-Structured Collocated Grids C367--C398
Steven R. Glandon and
Mahesh Narayanamurthi and
Adrian Sandu Linearly Implicit Multistep Methods for
Time Integration . . . . . . . . . . . . A3437--A3462
Marta Lazzaretti and
Luca Calatroni and
Claudio Estatico Modular-Proximal Gradient Algorithms in
Variable Exponent Lebesgue Spaces . . . A3463--A3489
Pengzhan Jin and
Shuai Meng and
Lu Lu MIONet: Learning Multiple-Input
Operators via Tensor Product . . . . . . A3490--A3514
Lucia Romani and
Alberto Viscardi Construction and Evaluation of
Pythagorean Hodograph Curves in
Exponential-Polynomial Spaces . . . . . A3515--A3535
Shijin Hou and
Yanlai Chen and
Yinhua Xia Fast $ L^2 $ Optimal Mass Transport via
Reduced Basis Methods for the
Monge--Amp\`ere Equation . . . . . . . . A3536--A3559
Xindi Hu and
Shengfeng Zhu On Geometric Inverse Problems in
Time-Fractional Subdiffusion . . . . . . A3560--A3591
N. Anders Petersson and
Fortino Garcia Optimal Control of Closed Quantum
Systems via B-Splines with Carrier Waves A3592--A3616
Chao Chen and
George Biros Overlapping Domain Decomposition
Preconditioner for Integral Equations A3617--A3644
Nour G. Al Hassanieh and
Jeffrey W. Banks and
William D. Henshaw and
Donald W. Schwendeman Local Compatibility Boundary Conditions
for High-Order Accurate
Finite-Difference Approximations of PDEs A3645--A3672
Bernard Kapidani and
Rafael Vázquez Hernandez High Order Geometric Methods With
Splines: an Analysis of Discrete
Hodge-Star Operators . . . . . . . . . . A3673--A3699
T. Chaumont-Frelet and
M. J. Grote and
S. Lanteri and
J. H. Tang A Controllability Method for Maxwell's
Equations . . . . . . . . . . . . . . . A3700--A3727
Hadrien Montanelli and
Matthieu Aussal and
Houssem Haddar Computing Weakly Singular and
Near-Singular Integrals Over Curved
Boundary Elements . . . . . . . . . . . A3728--A3753
Tingwei Meng and
Zhen Zhang and
Jerome Darbon and
George Karniadakis SympOCnet: Solving Optimal Control
Problems with Applications to
High-Dimensional Multiagent Path
Planning Problems . . . . . . . . . . . B1341--B1368
Mestan Firat Çeliktug and
M. Ozan Karsavuran and
Seher Acer and
Cevdet Aykanat Simultaneous Computational and Data Load
Balancing in Distributed-Memory Setting C399--C424
Jonas Kusch and
Lukas Einkemmer and
Gianluca Ceruti On the Stability of Robust Dynamical
Low-Rank Approximations for Hyperbolic
Problems . . . . . . . . . . . . . . . . A1--A24
Christoph Klein and
Robert Strzodka Preconditioning Sparse Matrices with
Alternating and Multiplicative Operator
Splittings . . . . . . . . . . . . . . . A25--A48
Martin J. Gander and
Stephan B. Lunowa and
Christian Rohde Non-Overlapping Schwarz
Waveform-Relaxation for Nonlinear
Advection--Diffusion Equations . . . . . A49--A73
Hussam Al Daas and
Grey Ballard and
Paul Cazeaux and
Eric Hallman and
Agnieszka Miedlar and
Mirjeta Pasha and
Tim W. Reid and
Arvind K. Saibaba Randomized Algorithms for Rounding in
the Tensor-Train Format . . . . . . . . A74--A95
Erik Burman Some Observations on the Interaction
Between Linear and Nonlinear
Stabilization for Continuous Finite
Element Methods Applied to Hyperbolic
Conservation Laws . . . . . . . . . . . A96--A122
Mikael Mortensen A Generic and Strictly Banded Spectral
Petrov--Galerkin Method for Differential
Equations with Polynomial Coefficients A123--A146
A. Alonso Rodríguez and
J. Camaño A Graph-Based Algorithm for the
Approximation of the Spectrum of the
Curl Operator . . . . . . . . . . . . . A147--A169
Donsub Rim and
Benjamin Peherstorfer and
Kyle T. Mandli Manifold Approximations via Transported
Subspaces: Model Reduction for
Transport-Dominated Problems . . . . . . A170--A199
Ben Adcock and
Juan M. Cardenas and
Nick Dexter An Adaptive Sampling and Domain Learning
Strategy for Multivariate Function
Approximation on Unknown Domains . . . . A200--A225
Kristoffer Andersson and
Adam Andersson and
C. W. Oosterlee Convergence of a Robust Deep FBSDE
Method for Stochastic Control . . . . . A226--A255
Debdeep Bhattacharya and
Robert P. Lipton Simulating Grain Shape Effects and
Damage in Granular Media Using PeriDEM B1--B26
Salim Meddahi and
Ricardo Ruiz-Baier A Mixed Discontinuous Galerkin Method
for a Linear Viscoelasticity Problem
With Strongly Imposed Symmetry . . . . . B27--B56
Keyi Wu and
Peng Chen and
Omar Ghattas An Offline-Online Decomposition Method
for Efficient Linear Bayesian
Goal-Oriented Optimal Experimental
Design: Application to Optimal Sensor
Placement . . . . . . . . . . . . . . . B57--B77
Marc Bonnet and
Ruowen Liu and
Shravan Veerapaneni and
Hai Zhu Shape Optimization of Peristaltic Pumps
Transporting Rigid Particles in Stokes
Flow . . . . . . . . . . . . . . . . . . B78--B106
Massimiliano Fasi and
Nicholas J. Higham and
Florent Lopez and
Theo Mary and
Mantas Mikaitis Matrix Multiplication in Multiword
Arithmetic: Error Analysis and
Application to GPU Tensor Cores . . . . C1--C19
Igor Chollet and
Xavier Claeys and
Pierre Fortin and
Laura Grigori A Directional Equispaced
Interpolation-Based Fast Multipole
Method for Oscillatory Kernels . . . . . C20--C48
Raffaele D'Ambrosio and
Stefano Di Giovacchino Long-Term Analysis of Stochastic
Hamiltonian Systems Under Time
Discretizations . . . . . . . . . . . . A257--A288
Patrick Buchfink and
Silke Glas and
Bernard Haasdonk Symplectic Model Reduction of
Hamiltonian Systems on Nonlinear
Manifolds and Approximation with Weakly
Symplectic Autoencoder . . . . . . . . . A289--A311
Grady B. Wright and
Andrew Jones and
Varun Shankar MGM: a Meshfree Geometric Multilevel
Method for Systems Arising from Elliptic
Equations on Point Cloud Surfaces . . . A312--A337
Johannes Haubner and
Franziska Neumann and
Michael Ulbrich A Novel Density Based Approach for
Topology Optimization of Stokes Flow . . A338--A368
Michael Griebel and
Marc A. Schweitzer and
Lukas Troska A Dimension-Oblivious Domain
Decomposition Method Based on
Space-Filling Curves . . . . . . . . . . A369--A396
Wei Liu and
Yongjun Yuan and
Xiaofei Zhao Computing the Action Ground State for
the Rotating Nonlinear Schrödinger
Equation . . . . . . . . . . . . . . . . A397--A426
Yingxiang Xu and
Yafei Sun and
Shuangbin Wang and
Shan Gao Optimized Schwarz Methods for the
Cahn--Hilliard Equation . . . . . . . . A427--A456
Martin Eigel and
Nando Farchmin and
Sebastian Heidenreich and
Philipp Trunschke Adaptive Nonintrusive Reconstruction of
Solutions to High-Dimensional Parametric
PDEs . . . . . . . . . . . . . . . . . . A457--A479
Sasan Mohyaddin and
Johannes Tausch A Fast Method for Evaluating Volume
Potentials in the Galerkin Boundary
Element Method . . . . . . . . . . . . . A480--A501
Paul Schwerdtner and
Matthias Voigt SOBMOR: Structured Optimization-Based
Model Order Reduction . . . . . . . . . A502--A529
Qing Cheng and
Jie Shen Length Preserving Numerical Schemes for
Landau--Lifshitz Equation Based on
Lagrange Multiplier Approaches . . . . . A530--A553
Petar Mlinari\'c and
Serkan Gugercin $ \mathcal {L}_2 $-Optimal Reduced-Order
Modeling Using Parameter-Separable Forms A554--A578
Michael Dellnitz and
Eyke Hüllermeier and
Marvin Lücke and
Sina Ober-Blöbaum and
Christian Offen and
Sebastian Peitz and
Karlson Pfannschmidt Efficient Time-Stepping for Numerical
Integration Using Reinforcement Learning A579--A595
Christof Vermeersch and
Bart De Moor Recursive Algorithms to Update a
Numerical Basis Matrix of the Null Space
of the Block Row, (Banded) Block
Toeplitz, and Block Macaulay Matrix . . A596--A620
Paola F. Antonietti and
Stefano Bonetti and
Michele Botti Discontinuous Galerkin Approximation of
the Fully Coupled Thermo-poroelastic
Problem . . . . . . . . . . . . . . . . A621--A645
Zhilin Li and
Kejia Pan High Order Compact Schemes for Flux Type
BCs . . . . . . . . . . . . . . . . . . A646--A674
Will Pazner and
Tzanio Kolev and
Clark R. Dohrmann Low-Order Preconditioning for the
High-Order Finite Element de Rham
Complex . . . . . . . . . . . . . . . . A675--A702
Filippo Zanetti and
Jacek Gondzio A New Stopping Criterion for Krylov
Solvers Applied in Interior Point
Methods . . . . . . . . . . . . . . . . A703--A728
Artem Napov An Incomplete Cholesky Preconditioner
Based on Orthogonal Approximations . . . A729--A752
Tim Mitchell Convergence Rate Analysis and Improved
Iterations for Numerical Radius
Computation . . . . . . . . . . . . . . A753--A780
Alex Bespalov and
David Silvester Error Estimation and Adaptivity for
Stochastic Collocation Finite Elements.
Part II: Multilevel Approximation . . . A781--A797
Jiajie Li and
Shengfeng Zhu Shape Optimization of the Stokes
Eigenvalue Problem . . . . . . . . . . . A798--A828
Victorita Dolean and
Martin J. Gander and
Alexandros Kyriakis Closed Form Optimized Transmission
Conditions for Complex Diffusion with
Many Subdomains . . . . . . . . . . . . A829--A848
Li Luo and
Xiao-Chuan Cai PINL: Preconditioned Inexact Newton with
Learning Capability for Nonlinear System
of Equations . . . . . . . . . . . . . . A849--A871
Aaron Charous and
Pierre F. J. Lermusiaux Dynamically Orthogonal Runge--Kutta
Schemes with Perturbative Retractions
for the Dynamical Low-Rank Approximation A872--A897
Chenxiao Song and
Reiichiro Kawai Dynamic Finite-Budget Allocation of
Stratified Sampling with Adaptive
Variance Reduction by Strata . . . . . . A898--A932
Steffen W. R. Werner and
Michael L. Overton and
Benjamin Peherstorfer Multifidelity Robust Controller Design
with Gradient Sampling . . . . . . . . . A933--A957
Alex C. Fish and
Daniel R. Reynolds Adaptive Time Step Control for Multirate
Infinitesimal Methods . . . . . . . . . A958--A984
Weiyang Ding and
Jie Li Higher Order Extended Dynamic Mode
Decomposition Based on the Structured
Total Least Squares . . . . . . . . . . A985--A1011
Johannes J. Brust and
Michael A. Saunders PLSS: a Projected Linear Systems Solver A1012--A1037
Hannes S. Vandecasteele and
Giovanni Samaey A Micro-Macro Markov Chain Monte Carlo
Method for Molecular Dynamics using
Reaction Coordinate Proposals . . . . . B107--B138
Fabian Heimann and
Christoph Lehrenfeld and
Janosch Preuß Geometrically Higher Order Unfitted
Space-Time Methods for PDEs on Moving
Domains . . . . . . . . . . . . . . . . B139--B165
Lina Zhao and
Shuyu Sun A Strongly Mass Conservative Method for
the Coupled Brinkman--Darcy Flow and
Transport . . . . . . . . . . . . . . . B166--B199
Shimin Guo and
Liquan Mei and
Wenjing Yan and
Ying Li Mass-, Energy-, and Momentum-Preserving
Spectral Scheme for
Klein--Gordon--Schrödinger System on
Infinite Domains . . . . . . . . . . . . B200--B230
Peter Marvin Müller and
José Pinzón and
Thomas Rung and
Martin Siebenborn A Scalable Algorithm for Shape
Optimization with Geometric Constraints
in Banach Spaces . . . . . . . . . . . . B231--B251
F. Sukru Torun and
Murat Manguoglu and
Cevdet Aykanat Enhancing Block Cimmino for Sparse
Linear Systems with Dense Columns via
Schur Complement . . . . . . . . . . . . C49--C72
Bernard Haasdonk and
Hendrik Kleikamp and
Mario Ohlberger and
Felix Schindler and
Tizian Wenzel A New Certified Hierarchical and
Adaptive RB-ML-ROM Surrogate Model for
Parametrized PDEs . . . . . . . . . . . A1039--A1065
Julia Schleuß and
Kathrin Smetana and
Lukas ter Maat Randomized Quasi-Optimal Local
Approximation Spaces in Time . . . . . . A1066--A1096
Jake Brusca and
Brittany Froese Hamfeldt A Convergent Quadrature-Based Method for
the Monge--Amp\`ere Equation . . . . . . A1097--A1124
Zexin Liu and
Akil Narayan A Stieltjes Algorithm for Generating
Multivariate Orthogonal Polynomials . . A1125--A1147
Yuankai Teng and
Zhu Wang and
Lili Ju and
Anthony Gruber and
Guannan Zhang Level Set Learning with Pseudoreversible
Neural Networks for Nonlinear Dimension
Reduction in Function Approximation . . A1148--A1171
Hanqin Cai and
Jian-Feng Cai and
Juntao You Structured Gradient Descent for Fast
Robust Low-Rank Hankel Matrix Completion A1172--A1198
Hussam Al Daas and
Pierre Jolivet and
Tyrone Rees Efficient Algebraic Two-Level Schwarz
Preconditioner for Sparse Matrices . . . A1199--A1213
Yukuan Hu and
Huajie Chen and
Xin Liu A Global Optimization Approach for
Multimarginal Optimal Transport Problems
with Coulomb Cost . . . . . . . . . . . A1214--A1238
Jin-Guo Liu and
Xun Gao and
Madelyn Cain and
Mikhail D. Lukin and
Sheng-Tao Wang Computing Solution Space Properties of
Combinatorial Optimization Problems Via
Generic Tensor Networks . . . . . . . . A1239--A1270
Fan Chen and
Jianguo Huang and
Chunmei Wang and
Haizhao Yang Friedrichs Learning: Weak Solutions of
Partial Differential Equations via Deep
Learning . . . . . . . . . . . . . . . . A1271--A1299
Kathrin Smetana and
Tommaso Taddei Localized Model Reduction for Nonlinear
Elliptic Partial Differential Equations:
Localized Training, Partition of Unity,
and Adaptive Enrichment . . . . . . . . A1300--A1331
Andrea Carracedo Rodriguez and
Linus Balicki and
Serkan Gugercin The $p$-AAA Algorithm for Data-Driven
Modeling of Parametric Dynamical Systems A1332--A1358
Christian Glusa and
Marta D'Elia and
Giacomo Capodaglio and
Max Gunzburger and
Pavel B. Bochev An Asymptotically Compatible Coupling
Formulation for Nonlocal Interface
Problems with Jumps . . . . . . . . . . A1359--A1384
Valentin Carlier and
Florent Renac Invariant Domain Preserving High-Order
Spectral Discontinuous Approximations of
Hyperbolic Systems . . . . . . . . . . . A1385--A1412
Guo-dong Zhang and
Xiaoming He and
Xiaofeng Yang Reformulated Weak Formulation and
Efficient Fully Discrete Finite Element
Method for a Two-Phase
Ferrohydrodynamics Shliomis Model . . . B253--B282
Shady E. Ahmed and
Omer San and
Adil Rasheed and
Traian Iliescu and
Alessandro Veneziani Physics Guided Machine Learning for
Variational Multiscale Reduced Order
Modeling . . . . . . . . . . . . . . . . B283--B313
Yixiao Hu and
Lihui Chai and
Zhongyi Huang and
Xu Yang Seismic Tomography with Random Batch
Gradient Reconstruction . . . . . . . . B314--B336
Felipe Uribe and
Yiqiu Dong and
Per Christian Hansen Horseshoe Priors for Edge-Preserving
Linear Bayesian Inversion . . . . . . . B337--B365
Lorenzo Audibert and
Hugo Girardon and
Houssem Haddar and
Pierre Jolivet Inversion of Eddy-Current Signals Using
a Level-Set Method and Block Krylov
Solvers . . . . . . . . . . . . . . . . B366--B389
Nicolas Boullé and
Patrick E. Farrell and
Marie E. Rognes Optimization of Hopf Bifurcation Points B390--B411
Vedran Novakovi\'c Vectorization of a Thread-Parallel
Jacobi Singular Value Decomposition
Method . . . . . . . . . . . . . . . . . C73--C100
Tianyi Shi and
Maximilian Ruth and
Alex Townsend Parallel Algorithms for Computing the
Tensor-Train Decomposition . . . . . . . C101--C130
Erin Carson and
Noaman Khan Mixed Precision Iterative Refinement
with Sparse Approximate Inverse
Preconditioning . . . . . . . . . . . . C131--C153
Siham Boukhris and
Artem Napov and
Yvan Notay Algebraic Multigrid Using a Stencil-CSR
Hybrid Format on GPUs . . . . . . . . . C154--C178
Tobias Knopp and
Marija Boberg and
Mirco Grosser NFFT.jl: Generic and Fast Julia
Implementation of the Nonequidistant
Fast Fourier Transform . . . . . . . . . C179--C205
Matthias Bolten and
Hans De Sterck Special Section: 2021 Copper Mountain
Conference . . . . . . . . . . . . . . . Si--Si
Peter Bastian and
Robert Scheichl and
Linus Seelinger and
Arne Strehlow Multilevel Spectral Domain Decomposition S1--S26
Yu-hsuan Shih and
Georg Stadler and
Florian Wechsung Robust Multigrid Techniques for
Augmented Lagrangian Preconditioning of
Incompressible Stokes Equations with
Extreme Viscosity Variations . . . . . . S27--S53
James H. Adler and
Yunhui He and
Xiaozhe Hu and
Scott MacLachlan and
Peter Ohm Monolithic Multigrid for a
Reduced-Quadrature Discretization of
Poroelasticity . . . . . . . . . . . . . S54--S81
Kamran Pentland and
Massimiliano Tamborrino and
Debasmita Samaddar and
Lynton C. Appel Stochastic Parareal: an Application of
Probabilistic Methods to
Time-Parallelization . . . . . . . . . . S82--S102
Or Avnat and
Irad Yavneh On the Recursive Structure of Multigrid
Cycles . . . . . . . . . . . . . . . . . S103--S126
Yael Azulay and
Eran Treister Multigrid-Augmented Deep Learning
Preconditioners for the Helmholtz
Equation . . . . . . . . . . . . . . . . S127--S151
Alexander Heinlein and
Axel Klawonn and
Martin Lanser Adaptive Nonlinear Domain Decomposition
Methods with an Application to the
$p$-Laplacian . . . . . . . . . . . . . S152--S172
Alexander Heinlein and
Oliver Rheinbach and
Friederike Röver Parallel Scalability of Three-Level
FROSch Preconditioners to 220000 Cores
using the Theta Supercomputer . . . . . S173--S198
Ru Huang and
Ruipeng Li and
Yuanzhe Xi Learning Optimal Multigrid Smoothers via
Neural Networks . . . . . . . . . . . . S199--S225
Pierre-Lo\"\ic Bacq and
Yvan Notay A New Semialgebraic Two-Grid Method for
Oseen Problems . . . . . . . . . . . . . S226--S253
Alena Kopanicáková and
Rolf Krause Globally Convergent Multilevel Training
of Deep Residual Networks . . . . . . . S254--S280
Jens Hahne and
Ben S. Southworth and
Stephanie Friedhoff Asynchronous Truncated
Multigrid-Reduction-in-Time . . . . . . S281--S306
Moshe Eliasof and
Jonathan Ephrath and
Lars Ruthotto and
Eran Treister MGIC: Multigrid-in-Channels Neural
Network Architectures . . . . . . . . . S307--S328
Daniele A. Di Pietro and
Frank Hülsemann and
Pierre Matalon and
Paul Mycek and
Ulrich Rüde Algebraic Multigrid Preconditioner for
Statically Condensed Systems Arising
from Lowest-Order Hybrid Discretizations S329--S350
Jeremy L. Thompson and
Jed Brown and
Yunhui He Local Fourier Analysis of p-Multigrid
for High-Order Finite Element Operators S351--S370
Delyan Z. Kalchev and
Panayot S. Vassilevski and
Umberto Villa Parallel Element-Based Algebraic
Multigrid for $ H(\rm c u r l) $ and $
H(\rm d i v) $ Problems Using the
ParELAG Library . . . . . . . . . . . . S371--S400
Jorge Marchena-Menendez and
Robert C. Kirby Additive Schwarz Methods for Serendipity
Elements . . . . . . . . . . . . . . . . S401--S420
M. A. Botchev Coarse Grid Corrections in Krylov
Subspace Evaluations of the Matrix
Exponential . . . . . . . . . . . . . . S421--S438
Victor A. P. Magri and
Robert D. Falgout and
Ulrike M. Yang A New Semistructured Algebraic Multigrid
Method . . . . . . . . . . . . . . . . . S439--S460
Hans De Sterck and
Chi-Wang Shu and
Rémi Abgrall Enhancing Reproducibility of Research
Papers in SISC, JSC, and JCP . . . . . . vii--vii
Jeffrey M. Hokanson and
Gianluca Iaccarino and
Alireza Doostan Simultaneous Identification and
Denoising of Dynamical Systems . . . . . A1413--A1437
Weizhu Bao and
Yifei Li A Symmetrized Parametric Finite Element
Method for Anisotropic Surface Diffusion
in Three Dimensions . . . . . . . . . . A1438--A1461
Wayne Isaac Tan Uy and
Yuepeng Wang and
Yuxiao Wen and
Benjamin Peherstorfer Active Operator Inference for Learning
Low-Dimensional Dynamical-System Models
from Noisy Data . . . . . . . . . . . . A1462--A1490
Tim Keil and
Stephan Rave An Online Efficient Two-Scale Reduced
Basis Approach for the Localized
Orthogonal Decomposition . . . . . . . . A1491--A1518
Samuel Burbulla and
Maximilian Hörl and
Christian Rohde Flow in Porous Media with Fractures of
Varying Aperture . . . . . . . . . . . . A1519--A1544
Jianguo Huang and
Lili Ju and
Yuejin Xu Efficient Exponential Integrator Finite
Element Method for Semilinear Parabolic
Equations . . . . . . . . . . . . . . . A1545--A1570
Sara Pollock and
Leo G. Rebholz Filtering for Anderson Acceleration . . A1571--A1590
T. Chaumont-Frelet Asymptotically Constant-Free and
Polynomial-Degree-Robust a Posteriori
Estimates for Space Discretizations of
the Wave Equation . . . . . . . . . . . A1591--A1620
Levon Nurbekyan and
Wanzhou Lei and
Yunan Yang Efficient Natural Gradient Descent
Methods for Large-Scale PDE-Based
Optimization Problems . . . . . . . . . A1621--A1655
Gang Pang and
Songsong Ji and
Jiwei Zhang Accurate Absorbing Boundary Conditions
for the Two-Dimensional Nonlocal
Schrödinger Equations . . . . . . . . . . A1656--A1689
Riccardo Morandin and
Jonas Nicodemus and
Benjamin Unger Port-Hamiltonian Dynamic Mode
Decomposition . . . . . . . . . . . . . A1690--A1710
Nicola Guglielmi and
Mattia Manucci Model Order Reduction in Contour
Integral Methods for Parametric PDEs . . A1711--A1740
Xiaozhou Wang and
Xiaojun Chen Solving Two-Stage Stochastic Variational
Inequalities by a Hybrid Projection
Semismooth Newton Algorithm . . . . . . A1741--A1765
Haiyan Jiang and
Tiao Lu and
Wenqi Yao and
Weitong Zhang Numerical Study of Transient
Wigner--Poisson Model for RTDs:
Numerical Method and Its Applications A1766--A1788
Colin J. Cotter and
Robert C. Kirby and
Hunter Morris Weighted-Norm Preconditioners for a
Multilayer Tide Model . . . . . . . . . A1789--A1811
Zhenning Cai and
Geshuo Wang and
Siyao Yang The Bold--Thin--Bold Diagrammatic Monte
Carlo Method for Open Quantum Systems A1812--A1843
Lisa Davis and
William Johns and
Lucas Monzón and
Matthew Reynolds Iterative Stability Enforcement in
Adaptive Antoulas--Anderson Algorithms
for $ \mathcal {H}_2 $ Model Reduction A1844--A1861
Emil Lòvbak and
Giovanni Samaey Accelerated Simulation of Boltzmann--BGK
Equations near the Diffusive Limit with
Asymptotic-Preserving Multilevel Monte
Carlo . . . . . . . . . . . . . . . . . A1862--A1889
Hans De Sterck and
Robert D. Falgout and
Oliver A. Krzysik Fast Multigrid Reduction-in-Time for
Advection via Modified Semi-Lagrangian
Coarse-Grid Operators . . . . . . . . . A1890--A1916
Shane A. McQuarrie and
Parisa Khodabakhshi and
Karen E. Willcox Nonintrusive Reduced-Order Models for
Parametric Partial Differential
Equations via Data-Driven Operator
Inference . . . . . . . . . . . . . . . A1917--A1946
Joseph Hart and
Bart van Bloemen Waanders Enabling Hyper-Differential Sensitivity
Analysis for Ill-Posed Inverse Problems A1947--A1970
Zhiwei Gao and
Liang Yan and
Tao Zhou Failure-Informed Adaptive Sampling for
PINNs . . . . . . . . . . . . . . . . . A1971--A1994
Sachin Krishnan Thekke Veettil and
Gentian Zavalani and
Uwe Hernandez Acosta and
Ivo F. Sbalzarini and
Michael Hecht Global Polynomial Level Sets for
Numerical Differential Geometry of
Smooth Closed Surfaces . . . . . . . . . A1995--A2018
D. A. Vargas and
R. D. Falgout and
S. Günther and
J. B. Schroder Multigrid Reduction in Time for Chaotic
Dynamical Systems . . . . . . . . . . . A2019--A2042
Tianhao Hu and
Bangti Jin and
Zhi Zhou Solving Elliptic Problems with Singular
Sources Using Singularity Splitting Deep
Ritz Method . . . . . . . . . . . . . . A2043--A2074
Daniel Seibel Almost Complete Analytical Integration
in Galerkin Boundary Element Methods . . A2075--A2100
Andrei Chertkov and
Gleb Ryzhakov and
Ivan Oseledets Black Box Approximation in the Tensor
Train Format Initialized by ANOVA
Decomposition . . . . . . . . . . . . . A2101--A2118
Changsheng Yu and
T. G. Liu and
Chengliang Feng A Well-Balanced Scheme for Euler
Equations with Singular Sources . . . . A2119--A2151
Manoochehr Khasi and
Jalil Rashidinia and
Mohammad Navaz Rasoulizadeh Fast Computing Approaches Based on a
Bilinear Pseudo-Spectral Method for
Nonlinear Acoustic Wave Equations . . . B413--B439
Heng Tian and
Tiexiang Li and
Xing-Long Lyu and
Wen-Wei Lin Band Structure Calculations of
Three-Dimensional Anisotropic Photonic
Crystals in the Oblique Coordinate
System . . . . . . . . . . . . . . . . . B440--B466
Steven Walton and
Minh-Binh Tran A Numerical Scheme for Wave Turbulence:
$3$-Wave Kinetic Equations . . . . . . . B467--B492
Miloslav Torda and
John Y. Goulermas and
Roland Púcek and
Vitaliy Kurlin Entropic Trust Region for Densest
Crystallographic Symmetry Group Packings B493--B522
Wangtao Lu and
Liwei Xu and
Tao Yin and
Lu Zhang A Highly Accurate
Perfectly-Matched-Layer Boundary
Integral Equation Solver for Acoustic
Layered-Medium Problems . . . . . . . . B523--B543
Wei Wan and
Yuejin Zhang and
Chenglong Bao and
Bin Dong and
Zuoqiang Shi A Scalable Deep Learning Approach for
Solving High-Dimensional Dynamic Optimal
Transport . . . . . . . . . . . . . . . B544--B563
Abhinav Jha and
Volker John and
Petr Knobloch Adaptive Grids in the Context of
Algebraic Stabilizations for
Convection--Diffusion--Reaction
Equations . . . . . . . . . . . . . . . B564--B589
Iain Duff and
Philippe Leleux and
Daniel Ruiz and
F. Sukru Torun Row Replicated Block Cimmino . . . . . . C207--C232
Frederik Hennig and
Markus Holzer and
Ulrich Rüde Advanced Automatic Code Generation for
Multiple Relaxation-Time Lattice
Boltzmann Methods . . . . . . . . . . . C233--C254
Sergey Dolgov and
Dante Kalise and
Luca Saluzzi Data-Driven Tensor Train Gradient Cross
Approximation for
Hamilton--Jacobi--Bellman Equations . . A2153--A2184
Na Huang and
Yu-Hong Dai and
Dominique Orban and
Michael A. Saunders On GSOR, the Generalized Successive
Overrelaxation Method for Double
Saddle-Point Problems . . . . . . . . . A2185--A2206
Mejdi Aza\"\iez and
Tomás Chacón Rebollo and
Isabel Sánchez Muñoz Numerical Approximation of PGD Modes to
Parameterized Elliptic Problems . . . . A2207--A2225
Beiping Duan and
Zongze Yang A Quadrature Scheme for Steady-State
Diffusion Equations Involving Fractional
Power of Regularly Accretive Operator A2226--A2249
Fabien Evrard and
Robert Chiodi and
Austin Han and
Berend van Wachem and
Olivier Desjardins First Moments of a Polyhedron Clipped by
a Paraboloid . . . . . . . . . . . . . . A2250--A2274
Martin J. Gander and
Thibaut Lunet and
Daniel Ruprecht and
Robert Speck A Unified Analysis Framework for
Iterative Parallel-in-Time Algorithms A2275--A2303
Xinyu Liu and
Jie Shen and
Xiangxiong Zhang An Efficient and Robust Scalar Auxiliary
Variable Based Algorithm for Discrete
Gradient Systems Arising from
Optimizations . . . . . . . . . . . . . A2304--A2324
Samuel E. Otto and
Alberto Padovan and
Clarence W. Rowley Model Reduction for Nonlinear Systems by
Balanced Truncation of State and
Gradient Covariance . . . . . . . . . . A2325--A2355
Yiqi Gu and
Michael K. Ng Deep Neural Networks for Solving Large
Linear Systems Arising from
High-Dimensional Problems . . . . . . . A2356--A2381
V. A. Kandappan and
Vaishnavi Gujjula and
Sivaram Ambikasaran HODLR2D: a New Class of Hierarchical
Matrices . . . . . . . . . . . . . . . . A2382--A2408
Nathaniel Overton-Katz and
Xinfeng Gao and
Stephen Guzik and
Oscar Antepara and
Daniel T. Graves and
Hans Johansen A Fourth-Order Embedded Boundary Finite
Volume Method for the Unsteady Stokes
Equations with Complex Geometries . . . A2409--A2430
Nicholas F. Marshall and
Oscar Mickelin and
Amit Singer Fast Expansion into Harmonics on the
Disk: a Steerable Basis with Fast Radial
Convolutions . . . . . . . . . . . . . . A2431--A2457
Nir Sharon and
Rafael Sherbu Cohen and
Holger Wendland On Multiscale Quasi-Interpolation of
Scattered Scalar- and Manifold-Valued
Functions . . . . . . . . . . . . . . . A2458--A2482
Xiaoqiang Yue and
Zhiyong Wang and
Shu-Lin Wu Convergence Analysis of a Mixed
Precision Parareal Algorithm . . . . . . A2483--A2510
Alexandre Ern and
Jean-Luc Guermond Invariant-Domain Preserving High-Order
Time Stepping: II. IMEX Schemes . . . . A2511--A2538
Zhongqin Xue and
Xuan Zhao Compatible Energy Dissipation of the
Variable-Step L1 Scheme for the
Space-Time Fractional Cahn--Hilliard
Equation . . . . . . . . . . . . . . . . A2539--A2560
Carlo Janna and
Andrea Franceschini and
Jacob B. Schroder and
Luke Olson Parallel Energy-Minimization
Prolongation for Algebraic Multigrid . . A2561--A2584
Haoya Li and
Samarth Gupta and
Hsiangfu Yu and
Lexing Ying and
Inderjit Dhillon Approximate Newton Policy Gradient
Algorithms . . . . . . . . . . . . . . . A2585--A2609
Daniel Kressner and
Bart Vandereycken and
Rik Voorhaar Streaming Tensor Train Approximation . . A2610--A2631
Andrea Thomann and
Angelo Iollo and
Gabriella Puppo Implicit Relaxed All Mach Number Schemes
for Gases and Compressible Materials . . A2632--A2656
Kamran Pentland and
Massimiliano Tamborrino and
T. J. Sullivan Error Bound Analysis of the Stochastic
Parareal Algorithm . . . . . . . . . . . A2657--A2678
Spyridon Pougkakiotis and
Dionysis Kalogerias A Zeroth-Order Proximal Stochastic
Gradient Method for Weakly Convex
Stochastic Optimization . . . . . . . . A2679--A2702
J. B. Angel and
J. W. Banks and
A. M. Carson and
W. D. Henshaw Efficient Upwind Finite-Difference
Schemes for Wave Equations on Overset
Grids . . . . . . . . . . . . . . . . . A2703--A2724
Cecilia Pagliantini and
Federico Vismara Gradient-Preserving Hyper-Reduction of
Nonlinear Dynamical Systems via Discrete
Empirical Interpolation . . . . . . . . A2725--A2754
Alejandro Allendes and
Gilberto Campaña and
Enrique Otárola Numerical Discretization of a
Darcy-Forchheimer Problem Coupled with a
Singular Heat Equation . . . . . . . . . A2755--A2780
Jiuyang Liang and
Zhenli Xu and
Qi Zhou Random Batch Sum-of-Gaussians Method for
Molecular Dynamics Simulations of
Particle Systems . . . . . . . . . . . . B591--B617
Ray Zirui Zhang and
Li-Tien Cheng Binary Level Set Method for Variational
Implicit Solvation Model . . . . . . . . B618--B645
Zhaoyang Wang and
Ping Lin and
Lei Zhang A Fast Front-Tracking Approach and Its
Analysis for a Temporal Multiscale Flow
Problem with a Fractional Order Boundary
Growth . . . . . . . . . . . . . . . . . B646--B672
Alexey Kazarnikov and
Robert Scheichl and
Heikki Haario and
Anna Marciniak-Czochra A Bayesian Approach to Modeling
Biological Pattern Formation with
Limited Data . . . . . . . . . . . . . . B673--B696
Guoliang Zhang and
Hongqiang Zhu and
Tao Xiong Asymptotic Preserving and Uniformly
Unconditionally Stable Finite Difference
Schemes for Kinetic Transport Equations B697--B730
Longfei Gao Strongly Imposing the Free Surface
Boundary Condition for Wave Equations
with Finite Difference Operators . . . . B731--B752
El-Mehdi El Arar and
Devan Sohier and
Pablo de Oliveira Castro and
Eric Petit Stochastic Rounding Variance and
Probabilistic Bounds: a New Approach . . C255--C275
Navjot Singh and
Edgar Solomonik Alternating Mahalanobis Distance
Minimization for Accurate and
Well-Conditioned CP Decomposition . . . A2781--A2812
Chun Kit Hung and
Shingyu Leung A Simple Embedding Method for Scalar
Hyperbolic Conservation Laws on Implicit
Surfaces . . . . . . . . . . . . . . . . A2813--A2835
Ngoc Mai Monica Huynh and
Fatemeh Chegini and
Luca Franco Pavarino and
Martin Weiser and
Simone Scacchi Convergence Analysis of BDDC
Preconditioners for Composite DG
Discretizations of the Cardiac
Cell-By-Cell Model . . . . . . . . . . . A2836--A2857
Kai Cheng and
Ralf Zimmermann Sliced Gradient-Enhanced Kriging for
High-Dimensional Function Approximation A2858--A2885
Dongfang Li and
Xiaoxi Li Relaxation Exponential Rosenbrock-Type
Methods for Oscillatory Hamiltonian
Systems . . . . . . . . . . . . . . . . A2886--A2911
Xingwen Zhu and
Xiaozhe Hu and
Pengtao Sun Physics-Informed Neural Networks for
Solving Dynamic Two-Phase Interface
Problems . . . . . . . . . . . . . . . . A2912--A2944
Tommaso Buvoli and
Ben S. Southworth Additive Polynomial Time Integrators,
Part I: Framework and Fully
Implicit--Explicit Collocation Methods A2945--A2972
James H. Adler and
Casey Cavanaugh and
Xiaozhe Hu and
Andy Huang and
Nathaniel Trask A Stable Mimetic Finite-Difference
Method for Convection-Dominated
Diffusion Equations . . . . . . . . . . A2973--A3000
Fredrik Fryklund and
Leslie Greengard An FMM Accelerated Poisson Solver for
Complicated Geometries in the Plane
Using Function Extension . . . . . . . . A3001--A3019
Neil K. Chada and
Marco Iglesias and
Shuai Lu and
Frank Werner On a Dynamic Variant of the Iteratively
Regularized Gauss--Newton Method with
Sequential Data . . . . . . . . . . . . A3020--A3046
Hamza Ruzayqat and
Neil K. Chada and
Ajay Jasra Unbiased Estimation Using Underdamped
Langevin Dynamics . . . . . . . . . . . A3047--A3070
Elena Celledoni and
Davide Murari and
Brynjulf Owren and
Carola-Bibiane Schönlieb and
Ferdia Sherry Dynamical Systems-Based Neural Networks A3071--A3094
Mark Ainsworth and
Charles Parker Statically Condensed Iterated Penalty
Method for High Order Finite Element
Discretizations of Incompressible Flow A3095--A3120
Long Chen and
Ruchi Guo and
Jun Zou A Family of Immersed Finite Element
Spaces and Applications to
Three-Dimensional $ \bf {H}({\rm curl})
$ Interface Problems . . . . . . . . . . A3121--A3149
Chenglong Bao and
Lingyun Qiu and
Rongqian Wang Robust Full Waveform Inversion: a Source
Wavelet Manipulation Perspective . . . . B753--B775
Xianmin Xu A Unified Variational Framework on
Macroscopic Computations for Two-Phase
Flow with Moving Contact Lines . . . . . B776--B801
Johannes Kraus and
Philip L. Lederer and
Maria Lymbery and
Kevin Osthues and
Joachim Schöberl Hybridized Discontinuous Galerkin/Hybrid
Mixed Methods for a Multiple Network
Poroelasticity Model with Application in
Biomechanics . . . . . . . . . . . . . . B802--B827
Martin Parisot Congested Shallow Water Model: Trapped
Air Pockets Modeling . . . . . . . . . . B828--B852
Ioannis P. A. Papadopoulos and
Patrick E. Farrell Preconditioners for Computing Multiple
Solutions in Three-Dimensional Fluid
Topology Optimization . . . . . . . . . B853--B883
Xiangcheng Zheng and
Zhiwei Yang and
Wuchen Li and
Hong Wang A Time-Fractional Mean-Field Control
Modeling Subdiffusive Advective
Transport . . . . . . . . . . . . . . . B884--B905
Yunfeng Xiong and
Yong Zhang and
Sihong Shao A Characteristic-Spectral-Mixed Scheme
for Six-Dimensional Wigner--Coulomb
Dynamics . . . . . . . . . . . . . . . . B906--B931
Oded Schwartz and
Noa Vaknin Pebbling Game and Alternative Basis for
High Performance Matrix Multiplication C277--C303
Daniel Drzisga and
Andreas Wagner and
Barbara Wohlmuth A Matrix-Free ILU Realization Based on
Surrogates . . . . . . . . . . . . . . . C304--C329
Thomas Koopman and
Rob H. Bisseling Minimizing Communication in the
Multidimensional FFT . . . . . . . . . . C330--C347
Hans De Sterck New SISC Section on Scientific Machine
Learning . . . . . . . . . . . . . . . . vii--viii
M. J. Gander and
A. Tonnoir Analysis of Schwarz Methods for
Convected Helmholtz-Like Equations . . . A1--A22
Xin Liu and
Qinglin Tang and
Shaobo Zhang and
Yong Zhang On Optimal Zero-Padding of Kernel
Truncation Method . . . . . . . . . . . A23--A49
Shengrong Ding and
Kailiang Wu A New Discretely Divergence-Free
Positivity-Preserving High-Order Finite
Volume Method for Ideal MHD Equations A50--A79
José Pablo Lucero Lorca and
Natalie Beams and
Damien Beecroft and
Adrianna Gillman An Iterative Solver for the HPS
Discretization Applied to Three
Dimensional Helmholtz Problems . . . . . A80--A104
Dexuan Zhou and
Huajie Chen and
Cheuk Hin Ho and
Christoph Ortner A Multilevel Method for Many-Electron
Schrödinger Equations Based on the Atomic
Cluster Expansion . . . . . . . . . . . A105--A129
Ren-jun Qi and
Xuan Zhao A Unified Design of Energy Stable
Schemes with Variable Steps for
Fractional Gradient Flows and Nonlinear
Integro-differential Equations . . . . . A130--A155
Tommaso Bevilacqua and
Franco Dassi and
Stefano Zampini and
Simone Scacchi BDDC Preconditioners for Virtual Element
Approximations of the Three-Dimensional
Stokes Equations . . . . . . . . . . . . A156--A178
Weiguo Gao and
Yingzhou Li and
Hanxiang Shen Weighted Trace-Penalty Minimization for
Full Configuration Interaction . . . . . A179--A203
Jiang Hu and
Ruicheng Ao and
Anthony Man-Cho So and
Minghan Yang and
Zaiwen Wen Riemannian Natural Gradient Methods . . A204--A231
Wei Guo and
Jing-Mei Qiu A Conservative Low Rank Tensor Method
for the Vlasov Dynamics . . . . . . . . A232--A263
Andrew Gillette and
Brendan Keith and
Socratis Petrides Learning Robust Marking Policies for
Adaptive Mesh Refinement . . . . . . . . A264--A289
Zhifang Liu and
Baochen Sun and
Xue-Cheng Tai and
Qi Wang and
Huibin Chang A Fast Minimization Algorithm for the
Euler Elastica Model Based on a Bilinear
Decomposition . . . . . . . . . . . . . A290--A312
Shao-Bo Lin and
Di Wang and
Ding-Xuan Zhou Sketching with Spherical Designs for
Noisy Data Fitting on Spheres . . . . . A313--A337
Jeffrey S. Ovall and
Samuel E. Reynolds Evaluation of Inner Products of
Implicitly Defined Finite Element
Functions on Multiply Connected Planar
Mesh Cells . . . . . . . . . . . . . . . A338--A359
Kazuki Koga Computing Weak Distance between the
2-Sphere and Its Nonsmooth
Approximations . . . . . . . . . . . . . A360--A375
Shuhao Cao and
Lizhen Qin A Numerical Domain Decomposition Method
for Solving Elliptic Equations on
Manifolds . . . . . . . . . . . . . . . A376--A398
Remi Abgrall Staggered Schemes for Compressible Flow:
a General Construction . . . . . . . . . A399--A428
Xiao Li and
Zhonghua Qiao A Second-Order, Linear, \boldmath $
L^\infty $-Convergent, and Energy Stable
Scheme for the Phase Field Crystal
Equation . . . . . . . . . . . . . . . . A429--A451
Jonathan Jung and
Vincent Perrier Behavior of the Discontinuous Galerkin
Method for Compressible Flows at Low
Mach Number on Triangles and
Tetrahedrons . . . . . . . . . . . . . . A452--A482
Björn Liljegren-Sailer and
Ion Victor Gosea Data-Driven and Low-Rank Implementations
of Balanced Singular Perturbation
Approximation . . . . . . . . . . . . . A483--A507
Ethan N. Epperly and
Joel A. Tropp Efficient Error and Variance Estimation
for Randomized Matrix Computations . . . A508--A528
Aaron Charous and
Pierre F. J. Lermusiaux Stable Rank-Adaptive Dynamically
Orthogonal Runge--Kutta Schemes . . . . A529--A560
Haijian Yang and
Rui Li and
Chao Yang Nonlinearly Constrained Pressure
Residual (NCPR) Algorithms for Fractured
Reservoir Simulation . . . . . . . . . . A561--A586
Beiping Duan and
Buyang Li New Artificial Tangential Motions for
Parametric Finite Element Approximation
of Surface Evolution . . . . . . . . . . A587--A608
Zewen Shen and
Kirill Serkh Rapid Evaluation of Newtonian Potentials
on Planar Domains . . . . . . . . . . . A609--A628
Riccardo Tenderini and
Nicholas Mueller and
Simone Deparis Space-Time Reduced Basis Methods for
Parametrized Unsteady Stokes Equations B1--B32
Tiangang Cui and
Sergey Dolgov and
Robert Scheichl Deep Importance Sampling Using Tensor
Trains with Application to a Priori and
a Posteriori Rare Events . . . . . . . . C1--C29
Stef Graillat and
Fabienne Jézéquel and
Theo Mary and
Roméo Molina Adaptive Precision Sparse Matrix--Vector
Product and Its Application to Krylov
Solvers . . . . . . . . . . . . . . . . C30--C56
Jeahan Jung and
Hyomin Shin and
Minseok Choi Bayesian Deep Learning Framework for
Uncertainty Quantification in Stochastic
Partial Differential Equations . . . . . C57--C76
Hai V. Nguyen and
Tan Bui-Thanh \tt TNet: a Model-Constrained Tikhonov
Network Approach for Inverse Problems C77--C100
Tizian Wenzel and
Francesco Marchetti and
Emma Perracchione Data-Driven Kernel Designs for Optimized
Greedy Schemes: a Machine Learning
Perspective . . . . . . . . . . . . . . C101--C126
Pengfei Yin and
Guangqiang Xiao and
Kejun Tang and
Chao Yang AONN: an Adjoint-Oriented Neural Network
Method for All-At-Once Solutions of
Parametric Optimal Control Problems . . C127--C153
Patrick E. Farrell and
Lawrence Mitchell and
L. Ridgway Scott Two Conjectures on the Stokes Complex in
Three Dimensions on Freudenthal Meshes A629--A644
Balázs Kovács Numerical Surgery for Mean Curvature
Flow of Surfaces . . . . . . . . . . . . A645--A669
Pierre-Henri Cocquet and
Martin J. Gander Asymptotic Dispersion Correction in
General Finite Difference Schemes for
Helmholtz Problems . . . . . . . . . . . A670--A696
Martin J. Gander and
Davide Palitta A New ParaDiag Time-Parallel Time
Integration Method . . . . . . . . . . . A697--A718
Danimir T. Doncevic and
Alexander Mitsos and
Yue Guo and
Qianxiao Li and
Felix Dietrich and
Manuel Dahmen and
Ioannis G. Kevrekidis A Recursively Recurrent Neural Network
(R2N2) Architecture for Learning
Iterative Algorithms . . . . . . . . . . A719--A743
Weizhang Huang and
Jinye Shen A Grid-Overlay Finite Difference Method
for the Fractional Laplacian on
Arbitrary Bounded Domains . . . . . . . A744--A769
Tony Leli\`evre and
Panos Parpas Using Witten Laplacians to Locate
Index-1 Saddle Points . . . . . . . . . A770--A797
A. Casulli and
L. Robol An Efficient Block Rational Krylov
Solver for Sylvester Equations with
Adaptive Pole Selection . . . . . . . . A798--A824
Zhen Chen and
Anne Gelb and
Yoonsang Lee Learning the Dynamics for Unknown
Hyperbolic Conservation Laws Using Deep
Neural Networks . . . . . . . . . . . . A825--A850
François Vilar and
Rémi Abgrall A Posteriori Local Subcell Correction of
High-Order Discontinuous Galerkin Scheme
for Conservation Laws on Two-Dimensional
Unstructured Grids . . . . . . . . . . . A851--A883
Bo Feng and
Gang Wu A Block Lanczos Method for Large-Scale
Quadratic Minimization Problems with
Orthogonality Constraints . . . . . . . A884--A905
Marco Caliari and
Fabio Cassini and
Lukas Einkemmer and
Alexander Ostermann Accelerating Exponential Integrators to
Efficiently Solve Semilinear
Advection--Diffusion--Reaction Equations A906--A928
Tobin A. Driscoll and
Yuji Nakatsukasa and
Lloyd N. Trefethen AAA Rational Approximation on a
Continuum . . . . . . . . . . . . . . . A929--A952
Dimitri Breda and
Simone De Reggi and
Rossana Vermiglio A Numerical Method for the Stability
Analysis of Linear Age-Structured Models
with Nonlocal Diffusion . . . . . . . . A953--A973
Nail A. Gumerov and
Shoken Kaneko and
Ramani Duraiswami Analytical Galerkin Boundary Integrals
of Laplace Kernel Layer Potentials in
\boldmath $ \mathbb {R}^3 $ . . . . . . A974--A997
Florian Schäfer and
Houman Owhadi Sparse Recovery of Elliptic Solvers from
Matrix--Vector Products . . . . . . . . A998--A1025
Genming Bai and
Jiashun Hu and
Buyang Li High-Order Mass- and Energy-Conserving
Methods for the Nonlinear Schrödinger
Equation . . . . . . . . . . . . . . . . A1026--A1046
Doruk Aksoy and
David J. Gorsich and
Shravan Veerapaneni and
Alex A. Gorodetsky An Incremental Tensor Train
Decomposition Algorithm . . . . . . . . A1047--A1075
Jianlin Xia Making the Nyström Method Highly Accurate
for Low-Rank Approximations . . . . . . A1076--A1101
L. Ridgway Scott and
Tabea Tscherpel Dimensions of Exactly Divergence-Free
Finite Element Spaces in 3D . . . . . . A1102--A1131
Yong Liu and
Jianfang Lu and
Chi-Wang Shu An Entropy Stable Essentially
Oscillation-Free Discontinuous Galerkin
Method for Hyperbolic Conservation Laws A1132--A1159
Jan Blechta and
Oliver G. Ernst Efficient Solution of Parameter
Identification Problems with $ H^1 $
Regularization . . . . . . . . . . . . . A1160--A1185
Rachel Minster and
Zitong Li and
Grey Ballard Parallel Randomized Tucker Decomposition
Algorithms . . . . . . . . . . . . . . . A1186--A1213
Yidan Xue and
Sarah L. Waters and
Lloyd N. Trefethen Computation of Two-Dimensional Stokes
Flows via Lightning and AAA Rational
Approximation . . . . . . . . . . . . . A1214--A1234
Kazufumi Ito and
Ying Liang A Direct Probing Method of an Inverse
Problem for the Eikonal Equation . . . . A1235--A1251
Shawn W. Walker Approximating the Shape Operator with
the Surface Hellan--Herrmann--Johnson
Element . . . . . . . . . . . . . . . . A1252--A1275
Ralf Zimmermann and
Ronny Bergmann Multivariate Hermite Interpolation on
Riemannian Manifolds . . . . . . . . . . A1276--A1297
Oscar P. Bruno and
Ambuj Pandey Direct/Iterative Hybrid Solver for
Scattering by Inhomogeneous Media . . . A1298--A1326
Qifan Chen and
Zheng Sun and
Yulong Xing The Runge--Kutta Discontinuous Galerkin
Method with Compact Stencils for
Hyperbolic Conservation Laws . . . . . . A1327--A1351
Ziyao Xu and
Chi-Wang Shu Local Characteristic Decomposition--Free
High-Order Finite Difference WENO
Schemes for Hyperbolic Systems Endowed
with a Coordinate System of Riemann
Invariants . . . . . . . . . . . . . . . A1352--A1372
Lukas Einkemmer and
Alexander Moriggl A Semi-Lagrangian Discontinuous Galerkin
Method for Drift-Kinetic Simulations on
GPUs . . . . . . . . . . . . . . . . . . B33--B55
Thijs Steel and
Raf Vandebril Parallel Two-Stage Reduction to
Hessenberg-Triangular Form . . . . . . . B56--B76
Guo-Dong Zhang and
Xiaoming He and
Xiaofeng Yang A Unified Framework of the SAV-ZEC
Method for a Mass-Conserved Allen--Cahn
Type Two-Phase Ferrofluid Flow Model . . B77--B106
Yunfeng Xiong and
Sihong Shao Overcoming the Numerical Sign Problem in
the Wigner Dynamics via Adaptive
Particle Annihilation . . . . . . . . . B107--B136
Lena Baumann and
Lukas Einkemmer and
Christian Klingenberg and
Jonas Kusch Energy Stable and Conservative Dynamical
Low-Rank Approximation for the Su--Olson
Problem . . . . . . . . . . . . . . . . B137--B158
Nathan Gaby and
Xiaojing Ye and
Haomin Zhou Neural Control of Parametric Solutions
for High-Dimensional Evolution PDEs . . C155--C185
Zhengyi Li and
Yanli Wang and
Hongsheng Liu and
Zidong Wang and
Bin Dong Solving the Boltzmann Equation with a
Neural Sparse Representation . . . . . . C186--C215
Paula Chen and
Tingwei Meng and
Zongren Zou and
Jérôme Darbon and
George Em Karniadakis Leveraging Multitime Hamilton--Jacobi
PDEs for Certain Scientific Machine
Learning Problems . . . . . . . . . . . C216--C248
Andreas Stathopoulos Special Section: 2022 Copper Mountain
Conference on Iterative Methods . . . . Si--Si
Yingzhi Liu and
Fenfen Qi and
Xiao-Chuan Cai A One-Dimensional Coarse Preconditioner
for Three-Dimensional Unsteady
Incompressible Navier--Stokes Flows in
Patient-Specific Arteries . . . . . . . S1--S23
Difeng Cai and
Hua Huang and
Edmond Chow and
Yuanzhe Xi Data-Driven Construction of Hierarchical
Matrices With Nested Bases . . . . . . . S24--S50
Michele Benzi and
Chiara Faccio Solving Linear Systems of the Form
\boldmath $ (A + \gamma U U^T), x = b $
by Preconditioned Iterative Methods . . S51--S70
Peter Munch and
Ivo Dravins and
Martin Kronbichler and
Maya Neytcheva Stage-Parallel Fully Implicit
Runge--Kutta Implementations with
Optimal Multilevel Preconditioners at
the Scaling Limit . . . . . . . . . . . S71--S96
Julianne Chung and
Jiahua Jiang and
Scot M. Miller and
Arvind K. Saibaba Hybrid Projection Methods for Solution
Decomposition in Large-Scale Bayesian
Inverse Problems . . . . . . . . . . . . S97--S119
Siobhán Correnty and
Elias Jarlebring and
Kirk M. Soodhalter Preconditioned Infinite GMRES for
Parameterized Linear Systems . . . . . . S120--S141
Xuejian Li and
Wei Gong and
Xiaoming He and
Tao Lin Variational Data Assimilation and its
Decoupled Iterative Numerical Algorithms
for Stokes--Darcy Model . . . . . . . . S142--S175
Harbir Antil and
Arvind K. Saibaba Efficient Algorithms for Bayesian
Inverse Problems with Whittle--Matérn
Priors . . . . . . . . . . . . . . . . . S176--S198
David Green and
Xiaozhe Hu and
Jeremy Lore and
Lin Mu and
Mark L. Stowell An Efficient High-Order Solver for
Diffusion Equations with Strong
Anisotropy on Non-Anisotropy-Aligned
Meshes . . . . . . . . . . . . . . . . . S199--S222
Mike A. Botchev and
Leonid Knizhnerman and
Marcel Schweitzer Krylov Subspace Residual and Restarting
for Certain Second Order Differential
Equations . . . . . . . . . . . . . . . S223--S253
Stephen Thomas and
Erin Carson and
Miroslav Rozlo ník and
Arielle Carr and
Katarzyna wirydowicz Iterated Gauss--Seidel GMRES . . . . . . S254--S279
Jorge Morón-Vidal and
Francisco Bernal and
Renato Spigler Iterative Schemes for Probabilistic
Domain Decomposition . . . . . . . . . . S280--S297
Enric Ribera Borrell and
Jannes Quer and
Lorenz Richter and
Christof Schütte Improving Control Based Importance
Sampling Strategies for Metastable
Diffusions via Adapted Metadynamics . . S298--S323
Tianshi Xu and
Anthony Austin and
Vasileios Kalantzis and
Yousef Saad A Parallel Algorithm for Computing
Partial Spectral Factorizations of
Matrix Pencils via Chebyshev
Approximation . . . . . . . . . . . . . S324--S351
Shubin Fu and
Eric Chung and
Lina Zhao An Efficient Multiscale Preconditioner
for Large-Scale Highly Heterogeneous
Flow . . . . . . . . . . . . . . . . . . S352--S377
Xiaozhe Hu and
Junyuan Lin Solving Graph Laplacians via Multilevel
Sparsifiers . . . . . . . . . . . . . . S378--S400
Perfect Y. Gidisu and
Michiel E. Hochstenbach A Restricted SVD Type CUR Decomposition
for Matrix Triplets . . . . . . . . . . S401--S423
Viktor Linders and
Philipp Birken Locally Conservative and Flux Consistent
Iterative Methods . . . . . . . . . . . S424--S444
Gal Shalom and
Eran Treister and
Irad Yavneh pISTA: Preconditioned Iterative Soft
Thresholding Algorithm for Graphical
Lasso . . . . . . . . . . . . . . . . . S445--S466
Jongho Park Additive Schwarz Methods for Semilinear
Elliptic Problems with Convex Energy
Functionals: Convergence Rate
Independent of Nonlinearity . . . . . . A1373--A1396
Enrico Facca and
Gabriele Todeschi and
Andrea Natale and
Michele Benzi Efficient Preconditioners for Solving
Dynamical Optimal Transport via Interior
Point Methods . . . . . . . . . . . . . A1397--A1422
Uwe Naumann A Matrix-Free Exact Newton Method . . . A1423--A1440
Riccardo Brignone Exact Simulation of the Multifactor
Ornstein--Uhlenbeck Driven Stochastic
Volatility Model . . . . . . . . . . . . A1441--A1460
Ana Budi\vsa and
Xiaozhe Hu and
Miroslav Kuchta and
Kent-Andre Mardal and
Ludmil Zikatanov Algebraic Multigrid Methods for
Metric-Perturbed Coupled Problems . . . A1461--A1486
Konstantin Althaus and
Iason Papaioannou and
Elisabeth Ullmann Consensus-Based Rare Event Estimation A1487--A1513
Christian Bayer and
Chiheb Ben Hammouda and
Raúl Tempone Multilevel Monte Carlo with Numerical
Smoothing for Robust and Efficient
Computation of Probabilities and
Densities . . . . . . . . . . . . . . . A1514--A1548
Pablo D. Brubeck and
Patrick E. Farrell Multigrid Solvers for the de Rham
Complex with Optimal Complexity in
Polynomial Degree . . . . . . . . . . . A1549--A1573
Benjamin Boutin and
Ana\"\is Crestetto and
Nicolas Crouseilles and
Josselin Massot Modified Lawson Methods for Vlasov
Equations . . . . . . . . . . . . . . . A1574--A1598
Daniel Jodlbauer and
Ulrich Langer and
Thomas Wick and
Walter Zulehner Matrix-Free Monolithic Multigrid Methods
for Stokes and Generalized Stokes
Problems . . . . . . . . . . . . . . . . A1599--A1627
Gabriel R. Barrenechea and
Antonio Tadeu A. Gomes and
Diego Paredes A Multiscale Hybrid Method . . . . . . . A1628--A1657
Nick Alger and
Tucker Hartland and
Noemi Petra and
Omar Ghattas Point Spread Function Approximation of
High-Rank Hessians with Locally
Supported Nonnegative Integral Kernels A1658--A1689
Ikrom Akramov and
Sebastian Götschel and
Michael Minion and
Daniel Ruprecht and
Robert Speck Spectral Deferred Correction Methods for
Second-Order Problems . . . . . . . . . A1690--A1713
James Levitt and
Per-Gunnar Martinsson Linear-Complexity Black-Box Randomized
Compression of Rank-Structured Matrices A1747--A1763
Tianqi Zhang and
Fei Xue A New Preconditioned Nonlinear Conjugate
Gradient Method in Real Arithmetic for
Computing the Ground States of
Rotational Bose--Einstein Condensate . . A1764--A1792
Thomas Frachon and
Peter Hansbo and
Erik Nilsson and
Sara Zahedi A Divergence Preserving Cut Finite
Element Method for Darcy Flow . . . . . A1793--A1820
Golo A. Wimmer and
Ben S. Southworth and
Thomas J. Gregory and
Xian-Zhu Tang A Fast Algebraic Multigrid Solver and
Accurate Discretization for Highly
Anisotropic Heat Flux I: Open Field
Lines . . . . . . . . . . . . . . . . . A1821--A1849
Alexander V. Mamonov and
Maxim A. Olshanskii Tensorial Parametric Model Order
Reduction of Nonlinear Dynamical Systems A1850--A1878
Pawan Goyal and
Benjamin Peherstorfer and
Peter Benner Rank-Minimizing and Structured Model
Inference . . . . . . . . . . . . . . . A1879--A1902
Noel Murasko and
John C. Bowman Hybrid Dealiasing of Complex
Convolutions . . . . . . . . . . . . . . B159--B178
Will Pazner and
Tzanio Kolev and
Panayot S. Vassilevski Matrix-Free High-Performance
Saddle-Point Solvers for High-Order
Problems in \boldmath $ H({\bf div}) $ B179--B204
Gianluca Ceruti and
Jonas Kusch and
Christian Lubich A Parallel Rank-Adaptive Integrator for
Dynamical Low-Rank Approximation . . . . B205--B228
Andreas Dedner and
Alice Hodson A Framework for Implementing General
Virtual Element Spaces . . . . . . . . . B229--B253
Fan Zhang and
Jian Cheng A Bound-Preserving and
Positivity-Preserving High-Order
Arbitrary Lagrangian--Eulerian
Discontinuous Galerkin Method for
Compressible Multi-Medium Flows . . . . B254--B279
Ivica Naki and
Marinela Pilj Vidakovi and
Zoran Tomljanovi Finite Time Horizon Mixed Control of
Vibrational Systems . . . . . . . . . . B280--B305
Tianpei Cheng and
Haijian Yang and
Jizu Huang and
Chao Yang Adaptive Space-Time Domain Decomposition
for Multiphase Flow in Porous Media with
Bound Constraints . . . . . . . . . . . B306--B330
Wei Kang and
Liang Xu and
Hong Zhou Observability and Effective Region of
Partial Differential Equations with
Application to Data Assimilation . . . . C249--C271
Giovanni Fantuzzi and
Federico Fuentes Global Minimization of Polynomial
Integral Functionals . . . . . . . . . . A2123--A2149
Lechang Qin and
Changtao Sheng and
Zhiguo Yang A Highly Efficient and Accurate
Divergence-Free Spectral Method for the
Curl--Curl Equation in Two and Three
Dimensions . . . . . . . . . . . . . . . A2150--A2177
Tianyou Tang and
Xianmin Xu Transformed Model Reduction for Partial
Differential Equations with Sharp Inner
Layers . . . . . . . . . . . . . . . . . A2178--A2201
Elisa Baioni and
Antoine Lejay and
Géraldine Pichot and
Giovanni Michele Porta Modeling Diffusion in One Dimensional
Discontinuous Media under Generalized
Permeable Interface Conditions: Theory
and Algorithms . . . . . . . . . . . . . A2202--A2223
Walter Boscheri and
Michael Dumbser and
Pierre-Henri Maire A New Thermodynamically Compatible
Finite Volume Scheme for Lagrangian Gas
Dynamics . . . . . . . . . . . . . . . . A2224--A2247
Zhonghua Qiao and
Zhenli Xu and
Qian Yin and
Shenggao Zhou Local Structure-Preserving Relaxation
Method for Equilibrium of Charged
Systems on Unstructured Meshes . . . . . A2248--A2269
Tristan Montoya and
David W. Zingg Efficient Tensor-Product
Spectral-Element Operators with the
Summation-by-Parts Property on Curved
Triangles and Tetrahedra . . . . . . . . A2270--A2297
Arne Bouillon and
Giovanni Samaey and
Karl Meerbergen On Generalized Preconditioners for
Time-Parallel Parabolic Optimal Control A2298--A2323
Andrew Gibbs and
Stephen Langdon An Efficient Frequency-Independent
Numerical Method for Computing the
Far-Field Pattern Induced by Polygonal
Obstacles . . . . . . . . . . . . . . . A2324--A2350
Shifan Zhao and
Tianshi Xu and
Hua Huang and
Edmond Chow and
Yuanzhe Xi An Adaptive Factorized Nyström
Preconditioner for Regularized Kernel
Matrices . . . . . . . . . . . . . . . . A2351--A2376
Philip Freese and
Moritz Hauck and
Daniel Peterseim Super-Localized Orthogonal Decomposition
for High-Frequency Helmholtz Problems A2377--A2397
Mark Ainsworth and
Charles Parker Computing $ H^2 $-Conforming Finite
Element Approximations Without Having to
Implement $ C^1 $-Elements . . . . . . . A2398--A2420
Ed Bueler and
Patrick E. Farrell A Full Approximation Scheme Multilevel
Method for Nonlinear Variational
Inequalities . . . . . . . . . . . . . . A2421--A2444
Qi Sun and
Xuejun Xu and
Haotian Yi Domain Decomposition Learning Methods
for Solving Elliptic Problems . . . . . A2445--A2474
Ajay Jasra and
Kengo Kamatani and
Mohamed Maama Multilevel Particle Filters for a Class
of Partially Observed Piecewise
Deterministic Markov Processes . . . . . A2475--A2502
Celia Caballero-Cárdenas and
Manuel Jesús Castro and
Christophe Chalons and
Tomás Morales de Luna and
María Luz Muñoz-Ruiz A Semi-Implicit Fully Exactly
Well-Balanced Relaxation Scheme for the
Shallow Water System . . . . . . . . . . A2503--A2527
Ziqing Hu and
Chun Liu and
Yiwei Wang and
Zhiliang Xu Energetic Variational Neural Network
Discretizations of Gradient Flows . . . A2528--A2556
Aleksandr Y. Aravkin and
Robert Baraldi and
Dominique Orban A Levenberg--Marquardt Method for
Nonsmooth Regularized Least Squares . . A2557--A2581
Daniel Fortunato A High-Order Fast Direct Solver for
Surface PDEs . . . . . . . . . . . . . . A2582--A2606
Haibo Li A Preconditioned Krylov Subspace Method
for Linear Inverse Problems with
General-Form Tikhonov Regularization . . A2607--A2633
Petr Vacek and
Erin Carson and
Kirk M. Soodhalter The Effect of Approximate Coarsest-Level
Solves on the Convergence of Multigrid
V-Cycle Methods . . . . . . . . . . . . A2634--A2659
Gabriel Barrenechea and
Ernesto Castillo and
Douglas Pacheco Implicit-explicit Schemes for
Incompressible Flow Problems with
Variable Viscosity . . . . . . . . . . . A2660--A2682
Jonah A. Reeger Adaptivity in Local Kernel Based Methods
for Approximating the Action of Linear
Operators . . . . . . . . . . . . . . . A2683--A2708
Juliane Rosemeier and
Terry Haut and
Beth Wingate Multilevel Parareal Algorithm with
Averaging for Oscillatory Problems . . . A2709--A2736
Christoph Reisinger and
Wolfgang Stockinger and
Yufei Zhang A Fast Iterative PDE-Based Algorithm for
Feedback Controls of Nonsmooth
Mean-Field Control Problems . . . . . . A2737--A2779
Stefan Güttel and
Igor Simunec A Sketch-and-Select Arnoldi Process . . A2774--A2797
Manaswinee Bezbaruah and
Matthias Maier and
Winnifried Wollner Shape Optimization of Optical Microscale
Inclusions . . . . . . . . . . . . . . . B377--B402
Shi Jin and
Xiantao Li and
Nana Liu and
Yue Yu Quantum Simulation for Quantum Dynamics
with Artificial Boundary Conditions . . B403--B421
Nick Wulbusch and
Reinhild Roden and
Matthias Blau and
Alexey Chernov Bayesian Parameter Identification in
Impedance Boundary Conditions for
Helmholtz Problems . . . . . . . . . . . B422--B447
Lisa Gaedke-Merzhäuser and
Elias Krainski and
Radim Janalik and
Håvard Rue and
Olaf Schenk Integrated Nested Laplace Approximations
for Large-Scale Spatiotemporal Bayesian
Modeling . . . . . . . . . . . . . . . . B448--B473
Jessica T. Lauzon and
Siu Wun Cheung and
Yeonjong Shin and
Youngsoo Choi and
Dylan M. Copeland and
Kevin Huynh S-OPT: a Points Selection Algorithm for
Hyper-Reduction in Reduced Order Models B474--B501
Michael B. Giles and
Oliver Sheridan-Methven Rounding Error Using Low Precision
Approximate Random Variables . . . . . . B502--B526
Nanna Berre and
Marie E. Rognes and
André Massing Cut Finite Element Discretizations of
Cell-by-Cell EMI Electrophysiology
Models . . . . . . . . . . . . . . . . . B527--B553
Marsha J. Berger and
Randall J. LeVeque Implicit Adaptive Mesh Refinement for
Dispersive Tsunami Propagation . . . . . B554--B578
Sanghyun Lee and
Yeonjong Shin On the Training and Generalization of
Deep Operator Networks . . . . . . . . . C273--C296
Dimitrios Patsatzis and
Gianluca Fabiani and
Lucia Russo and
Constantinos Siettos Slow Invariant Manifolds of Singularly
Perturbed Systems via Physics-Informed
Machine Learning . . . . . . . . . . . . C297--C322
Ziyuan Liu and
Haifeng Wang and
Hong Zhang and
Kaijun Bao and
Xu Qian and
Songhe Song Render unto Numerics: Orthogonal
Polynomial Neural Operator for PDEs with
Nonperiodic Boundary Conditions . . . . C323--C348
Liwei Lu and
Hailong Guo and
Xu Yang and
Yi Zhu Temporal Difference Learning for
High-Dimensional PIDEs with Jumps . . . C349--C368
Tianhao Hu and
Bangti Jin and
Zhi Zhou Solving Poisson Problems in Polygonal
Domains with Singularity Enriched
Physics Informed Neural Networks . . . . C369--C398
Moshe Eliasof and
Eldad Haber and
Eran Treister Graph Neural Reaction Diffusion Models C399--C420
Qing Li and
Steinar Evje An Alternating Flux Learning Method for
Multidimensional Nonlinear Conservation
Laws . . . . . . . . . . . . . . . . . . C421--C447
Zhiqiang Cai and
Junpyo Choi and
Min Liu Least-Squares Neural Network (LSNN)
Method for Linear Advection-Reaction
Equation: Discontinuity Interface . . . C448--C478
Han Zhang and
Raymond H. Chan and
Xue-Cheng Tai A Meshless Solver for Blood Flow
Simulations in Elastic Vessels Using a
Physics-Informed Neural Network . . . . C479--C507
Minglei Yang and
Pengjun Wang and
Diego del-Castillo-Negrete and
Yanzhao Cao and
Guannan Zhang A Pseudoreversible Normalizing Flow for
Stochastic Dynamical Systems with
Various Initial Distributions . . . . . C508--C533
Yan Chang and
Yukun Guo and
Yue Zhao Inverse Source Problem of the Biharmonic
Equation from Multifrequency Phaseless
Data . . . . . . . . . . . . . . . . . . A2799--A2818
Tareq Zaman and
Nicolas Nytko and
Ali Taghibakhshi and
Scott MacLachlan and
Luke Olson and
Matthew West Generalizing Lloyd's Algorithm for Graph
Clustering . . . . . . . . . . . . . . . A2819--A2847
Marsha Berger and
Andrew Giuliani A New Provably Stable Weighted State
Redistribution Algorithm . . . . . . . . A2848--A2873
Wei Jiang and
Chunmei Su and
Ganghui Zhang Stable Backward Differentiation Formula
Time Discretization of BGN-Based
Parametric Finite Element Methods for
Geometric Flows . . . . . . . . . . . . A2874--A2898
Shumo Cui and
Alexander Kurganov and
Kailiang Wu Bound-Preserving Framework for
Central-Upwind Schemes for General
Hyperbolic Conservation Laws . . . . . . A2899--A2924
Bian Li and
Yue Yu and
Xiu Yang The Sparse-Grid-Based Adaptive Spectral
Koopman Method . . . . . . . . . . . . . A2925--A2950
Yulong Dong and
Lin Lin and
Hongkang Ni and
Jiasu Wang Robust Iterative Method for Symmetric
Quantum Signal Processing in All
Parameter Regimes . . . . . . . . . . . A2951--A2971
Sumit Mahahjan and
Arbaz Khan Finite Element Approximation for the
Delayed Generalized Burgers--Huxley
Equation with Weakly Singular Kernel:
Part II. Nonconforming and DG
Approximation . . . . . . . . . . . . . A2972--A2998
Sifan Liu Conditional Quasi-Monte Carlo with
Constrained Active Subspaces . . . . . . A2999--A3021
Stefan Güttel and
Daniel Kressner and
Bart Vandereycken Randomized Sketching of Nonlinear
Eigenvalue Problems . . . . . . . . . . A3022--A3043
E-M. El Arar and
D. Sohier and
P. de Oliveira Castro and
E. Petit Bounds on Nonlinear Errors for Variance
Computation with Stochastic Rounding . . B579--B599
Lars Simon and
Holger Eble and
Hagen-Henrik Kowalski and
Manuel Radons Interpolating Parametrized Quantum
Circuits Using Blackbox Queries . . . . B600--B620
Xingjian Li and
Deepanshu Verma and
Lars Ruthotto A Neural Network Approach for Stochastic
Optimal Control . . . . . . . . . . . . C535--C556
Axel Klawonn and
Martin Lanser and
Janine Weber A Domain Decomposition-Based CNN-DNN
Architecture for Model Parallel Training
Applied to Image Recognition Problems C557--C582
Paul Schwerdtner and
Philipp Schulze and
Jules Berman and
Benjamin Peherstorfer Nonlinear Embeddings for Conserving
Hamiltonians and Other Quantities with
Neural Galerkin Schemes . . . . . . . . C583--C607
Jihun Han and
Yoonsang Lee and
Anne Gelb Learning In-Between Imagery Dynamics via
Physical Latent Spaces . . . . . . . . . C608--C632
Stefan Kunis and
Ines Melzer A Stable and Accurate Butterfly Sparse
Fourier Transform . . . . . . . . . . . 1777--1800