Last update:
Wed Oct 23 06:24:04 MDT 2024
John C. Mason and
Charles A. Micchelli Editorial . . . . . . . . . . . . . . . i--i
Anonymous In memoriam John Gregory . . . . . . . . iii--iii
Wolfgang Dahmen and
Charles A. Micchelli Continuous refinement equations and
subdivision . . . . . . . . . . . . . . 1--37
P. J. van der Houwen Preconditioning in implicit
initial-value problem methods on
parallel computers . . . . . . . . . . . 39--60
H. N. Mhaskar Approximation properties of a
multilayered feedforward artificial
neural network . . . . . . . . . . . . . 61--80
Alan R. Champneys and
Alastair Spence Hunting for homoclinic orbits in
reversible systems: a shooting technique 81--108
T. N. T. Goodman and
S. L. Lee and
W. S. Tang Wavelet bases for a set of commuting
unitary operators . . . . . . . . . . . 109--126
Randolph E. Bank and
Craig C. Douglas Sparse matrix multiplication package
(SMMP) . . . . . . . . . . . . . . . . . 127--137
Phillip J. Barry and
Ronald N. Goldman and
Charles A. Micchelli Knot insertion algorithms for piecewise
polynomial spaces determined by
connection matrices . . . . . . . . . . 139--171
J. M. Carnicer and
J. M. Peña Shape preserving representations and
optimality of the Bernstein basis . . . 173--196
R. A. DeVore and
G. Kyriazis and
D. Leviatan and
V. M. Tikhomirov Wavelet compression and nonlinear
$n$-widths . . . . . . . . . . . . . . . 197--214
Daniel E. Gonsor Subdivision algorithms with nonnegative
masks generally converge . . . . . . . . 215--221
W. B. Liu and
John W. Barrett Error bounds for the finite element
approximation of a degenerate
quasilinear parabolic variational
inequality . . . . . . . . . . . . . . . 223--239
Lothar Reichel Construction of polynomials that are
orthogonal with respect to a discrete
bilinear form . . . . . . . . . . . . . 241--258
W. Dahmen and
S. Prössdorf and
R. Schneider Wavelet approximation methods for
pseudodifferential equations. II. Matrix
compression and fast solution . . . . . 259--335
K. A. Cliffe and
T. J. Garratt and
A. Spence Eigenvalues of the discretized
Navier--Stokes equation with application
to the detection of Hopf bifurcations 337--356
Jack Williams and
Z. Kalogiratou Least squares and Chebyshev fitting for
parameter estimation in ODEs . . . . . . 357--366
Christopher T. H. Baker and
Christopher A. H. Paul Parallel continuous Runge--Kutta methods
and vanishing lag delay differential
equations . . . . . . . . . . . . . . . 367--394
Phillip Barry Introduction . . . . . . . . . . . . . . ix--x
Chandrajit L. Bajaj and
Guo Liang Xu NURBS approximation of surface/surface
intersection curves . . . . . . . . . . 1--21
Guido Brunnett and
Peter E. Crouch Elastic curves on the sphere . . . . . . 23--40
Rida T. Farouki and
Takis Sakkalis Pythagorean-hodograph space curves . . . 41--66
Michael S. Floater A weak condition for the convexity of
tensor-product Bézier and B-spline
surfaces . . . . . . . . . . . . . . . . 67--80
Richard Franke and
Hans Hagen and
Gregory M. Nielson Least squares surface approximation to
scattered data using multiquadratic
functions . . . . . . . . . . . . . . . 81--99
M. Laghchim-Lahlou and
P. Sablonni\`ere Triangular finite elements of HCT type
and class $ C^\rho $ . . . . . . . . . . 101--122
Helmut Pottmann and
Michael G. Wagner Helix splines as an example of affine
Tchebycheffian splines . . . . . . . . . 123--142
Hartmut Prautzsch and
Leif Kobbelt Convergence of subdivision and degree
elevation . . . . . . . . . . . . . . . 143--154
Marco Marletta Numerical solution of eigenvalue
problems for Hamiltonian systems . . . . 155--184
Charles K. Chui and
Xian Liang Shi Continuous two-scale equations and
dyadic wavelets . . . . . . . . . . . . 185--213
Craig C. Douglas Some remarks on completely vectorizing
point Gauss--Seidel while using the
natural ordering . . . . . . . . . . . . 215--222
Ezio Venturino A lacunary interpolation algorithm on
arbitrary points . . . . . . . . . . . . 223--233
H. P. Dikshit and
A. Ojha and
R. A. Zalik Wachspress type rational complex planar
splines of degree $ (3, 1) $ . . . . . . 235--249
Allan J. MacLeod Table-based tests for Bessel function
software . . . . . . . . . . . . . . . . 251--260
Rudnei Dias da Cunha and
Tim Hopkins A parallel implementation of the
restarted GMRES iterative algorithm for
nonsymmetric systems of linear equations 261--277
Penny J. Davies and
Dugald B. Duncan Time-marching numerical schemes for the
electric field integral equation on a
straight thin wire . . . . . . . . . . . 279--317
Marc Prévost Acceleration property for the
$E$-algorithm and an application to the
summation of series . . . . . . . . . . 319--341
Xin Li Hankel operators and best Hankel
approximation on the half-plane . . . . 343--355
J. M. Bull and
T. L. Freeman Parallel globally adaptive quadrature on
the KSR-1 . . . . . . . . . . . . . . . 357--373
D. Zwick A planar minimax algorithm for analysis
of coordinate measurements . . . . . . . 375--391
G. A. Watson The solution of orthogonal Procrustes
problems for a family of orthogonally
invariant norms . . . . . . . . . . . . 393--405
E. H. Twizell and
A. Boutayeb and
K. Djidjeli Numerical methods for eighth-, tenth-
and twelfth-order eigenvalue problems
arising in thermal instability . . . . . 407--436
Zheng Xing Cheng and
Charles K. Chui Convexity of parametric Bézier surfaces
in terms of Gaussian curvature
signatures . . . . . . . . . . . . . . . 437--459
C. Brezinski and
M. Redivo-Zaglia A general extrapolation procedure
revisited . . . . . . . . . . . . . . . 461--477
Burkhard Lenze On local and global sigma--pi neural
networks. A common link . . . . . . . . 479--491
Gerlind Plonka Two-scale symbol and autocorrelation
symbol for B-splines with multiple knots 1--22
G. Ramaswami Perturbed collocation and symplectic RKN
methods . . . . . . . . . . . . . . . . 23--40
Victor Y. Pan An algebraic approach to approximate
evaluation of a polynomial on a set of
real points . . . . . . . . . . . . . . 41--58
P. Maroni An introduction to second degree forms 59--88
Guido Walz A unified approach to B-spline
recursions and knot insertion, with
application to new recursion formulas 89--100
Mohamed Farhloul and
Michel Fortin A mixed finite element for the Stokes
problem using quadrilateral elements . . 101--113
S. N. Chandler-Wilde and
J. Levesley and
D. M. Hough Evaluation of a boundary integral
representation for the conformal mapping
of the unit disk onto a simply-connected
domain . . . . . . . . . . . . . . . . . 115--135
Wayne Lawton and
S. L. Lee and
Zuowei Shen Characterization of compactly supported
refinable splines . . . . . . . . . . . 137--145
Helmut Pottmann Curve design with rational
Pythagorean-hodograph curves . . . . . . 147--170
C. T. H. Baker and
C. A. H. Paul and
D. R. Willé Issues in the numerical solution of
evolutionary delay differential
equations . . . . . . . . . . . . . . . 171--196
Sebastian Noelle Convergence of higher order finite
volume schemes on irregular grids . . . 197--218
Thomas Sauer Computational aspects of multivariate
polynomial interpolation . . . . . . . . 219--237
M. Gasca and
J. M. Peña On the characterization of almost
strictly totally positive matrices . . . 239--250
Robert Schaback Error estimates and condition numbers
for radial basis function interpolation 251--264
John W. Jones and
Bruno D. Welfert Zero-free regions for a rational
function with applications . . . . . . . 265--289
Kyrre Stròm B-splines with homogenized knots . . . . 291--308
Rong-Qing Jia Subdivision schemes in $ L_p $ spaces 309--341
George Hall A new stepsize strategy for explicit
Runge--Kutta codes . . . . . . . . . . . 343--352
K. Jetter and
J. Stöckler A generalization of de Boor's stability
result and symmetric preconditioning . . 353--367
C. T. Chong The polynomial topological complexity of
Fatou--Julia sets . . . . . . . . . . . 369--374
J. M. Carnicer and
T. N. T. Goodman and
J. M. Peña A generalization of the variation
diminishing property . . . . . . . . . . 375--394
J. M. Carnicer Multivariate convexity preserving
interpolation by smooth functions . . . 395--404
Per Erik Koch and
Tom Lyche and
Marian Neamtu and
Larry L. Schumaker Control curves and knot insertion for
trigonometric splines . . . . . . . . . 405--424
Anonymous The Guest Editor . . . . . . . . . . . . i--i
Wolfgang Dahmen Preface . . . . . . . . . . . . . . . . iii--iv
Fritz Keinert Numerical stability of biorthogonal
wavelet transforms . . . . . . . . . . . 1--26
S. Zeng and
C. Vuik and
P. Wesseling Numerical solution of the incompressible
Navier--Stokes equations by Krylov
subspace and multigrid methods . . . . . 27--49
Karsten Urban On divergence-free wavelets . . . . . . 51--81
P. W. Hemker Sparse-grid finite-volume multigrid for
$3$D-problems . . . . . . . . . . . . . 83--110
Susanne C. Brenner A two-level additive Schwarz
preconditioner for the stationary Stokes
equations . . . . . . . . . . . . . . . 111--126
B. Koren and
B. van Leer Analysis of preconditioning and
multigrid for Euler flows with
low-subsonic regions . . . . . . . . . . 127--144
Angela Kunoth Multilevel preconditioning --- Appending
boundary conditions by Lagrange
multipliers . . . . . . . . . . . . . . 145--170
M. Griebel and
P. Oswald Tensor product type subspace splittings
and multilevel iterative methods for
anisotropic problems . . . . . . . . . . 171--206
Thomas Sauer and
Yuan Xu On multivariate Hermite interpolation 207--259
Sônia M. Gomes Convergence estimates for the
wavelet-Galerkin method:
superconvergence at the node points . . 261--282
Zongmin Wu Compactly supported positive definite
radial functions . . . . . . . . . . . . 283--292
Frédérique Plantevin Wavelets on irregular meshes . . . . . . 293--329
Boris N. Khoromskij and
Siegfried Prössdorf Multilevel preconditioning on the
refined interface and optimal boundary
solvers for the Laplace equation . . . . 331--355
Gerlind Plonka and
Kathi Selig and
Manfred Tasche On the construction of wavelets on a
bounded interval . . . . . . . . . . . . 357--388
Holger Wendland Piecewise polynomial, positive definite
and compactly supported radial functions
of minimal degree . . . . . . . . . . . 389--396
I. J. Anderson and
S. K. Harbour Parallel factorization of banded linear
matrices using a systolic array
processor . . . . . . . . . . . . . . . 1--14
James H. Bramble and
Richard E. Ewing and
Joseph E. Pasciak and
Jian Shen The analysis of multigrid algorithms for
cell centered finite difference methods 15--29
María Leonor S. Varas Reconstruction of signals from
multiscale edges . . . . . . . . . . . . 31--49
Willi Freeden and
Ulrich Windheuser Spherical wavelet transform and its
discretization . . . . . . . . . . . . . 51--94
C. K. Chui and
J. Stöckler and
J. D. Ward Analytic wavelets generated by radial
functions . . . . . . . . . . . . . . . 95--123
P. W. Hemker Corrigendum: ``Sparse-grid finite-volume
multigrid for $3$D-problems''
[\booktitleAdv. Comput. Math. \bf 4
(1995), no. 1--2, 83--110; MR1338896
(96c:65193)] . . . . . . . . . . . . . . 125--126
Chunhui Chen and
O. L. Mangasarian Hybrid misclassification minimization 127--136
Manuela Nees Chebyshev approximation by discrete
superposition. Application to neural
networks . . . . . . . . . . . . . . . . 137--151
J. Lyle Noakes Networks and closed balls . . . . . . . 153--161
Burkhard Lenze Hyperbolic sigma--pi neural network
operators for compactly supported
continuous functions . . . . . . . . . . 163--172
R. A. DeVore and
V. N. Temlyakov Some remarks on greedy algorithms . . . 173--187
Yoshifusa Ito Nonlinearity creates linear independence 189--203
Sumio Watanabe Solvable models of layered neural
networks based on their differential
structure . . . . . . . . . . . . . . . 205--231
C. K. Chui and
Xin Li and
H. N. Mhaskar Limitations of the approximation
capabilities of neural networks with one
hidden layer . . . . . . . . . . . . . . 233--243
Eduardo D. Stonag Critical points for least-squares
problems involving certain analytic
functions, with applications to
sigmoidal nets . . . . . . . . . . . . . 245--268
Lars Kai Hansen and
Jan Larsen Linear unlearning for cross-validation 269--280
Francisco Marcellán and
Franz Peherstorfer and
Robert Steinbauer Orthogonality properties of linear
combinations of orthogonal polynomials 281--295
P. González-Vera and
J. C. Santos-León and
O. Njåstad Some results about numerical quadrature
on the unit circle . . . . . . . . . . . 297--328
R. M. Corless and
G. H. Gonnet and
D. E. G. Hare and
D. J. Jeffrey and
D. E. Knuth On the Lambert $W$ function . . . . . . 329--359
Michael S. Floater An analysis of cubic approximation
schemes for conic sections . . . . . . . 361--379
Manfred Sommer and
Hans Strauss A condition of Schoenberg--Whitney type
for multivariate spline interpolation 381--397
Michael S. Floater On zero curves of bivariate polynomials 399--415
Gudrun Albrecht and
Rida T. Farouki Construction of $ C^2 $
Pythagorean-hodograph interpolating
splines by the homotopy method . . . . . 417--442
P. Mortreux and
M. Prévost An acceleration property of the
$E$-algorithm for alternate sequences 443--482
E. H. Twizell Preface . . . . . . . . . . . . . . . . i--ii
Jack Howlett and
J. C. Newby Foreword . . . . . . . . . . . . . . . . iii--vi
Jack Howlett Foreword: John Crank . . . . . . . . . . vii--viii
J. C. Newby John Crank: his association with Brunel
University . . . . . . . . . . . . . . . ix--x
Jane Cullum Iterative methods for solving $ A x = b
$, GMRES/FOM versus QMR/BiCG . . . . . . 1--24
G. Meinardus and
G. Nürnberger and
G. Walz Bivariate segment approximation and
splines . . . . . . . . . . . . . . . . 25--45
Jose A. Cuminato Numerical solution of Cauchy-type
integral equations of index $ - 1 $ by
collocation methods . . . . . . . . . . 47--64
Miljenko Maru\vsi\'c and
Mladen Rogina A collocation method for singularly
perturbed two-point boundary value
problems with splines in tension . . . . 65--76
T. Tommasini Complexity reduction of least squares
problems involving special Vandermonde
matrices . . . . . . . . . . . . . . . . 77--86
Jörg Peters Interpolation regions for convex cubic
curve segments . . . . . . . . . . . . . 87--96
Joe Warren Barycentric coordinates for convex
polytopes . . . . . . . . . . . . . . . 97--108
James H. Bramble and
J. Thomas King A finite element method for interface
problems in domains with smooth
boundaries and interfaces . . . . . . . 109--138
William F. Ford and
Yuesheng Xu and
Yunhe Zhao Derivative corrections for quadrature
formulas . . . . . . . . . . . . . . . . 139--157
James H. Bramble and
Joseph E. Pasciak and
Andrew V. Knyazev A subspace preconditioning algorithm for
eigenvector/eigenvalue computation . . . 159--189
M. Laghchim-Lahlou and
P. Sablonni\`ere $ C^r $-finite elements of Powell--Sabin
type on the three direction mesh . . . . 191--206
J. Crank and
P. Nicolson A practical method for numerical
evaluation of solutions of partial
differential equations of the
heat-conduction type [reprint of
MR0019410 (8,409b)] . . . . . . . . . . 207--226
P. C. Chatwin and
D. M. Lewis and
N. Mole Atmospheric diffusion: some new
mathematical models . . . . . . . . . . 227--242
G. Fairweather and
J. C. López-Marcos Galerkin methods for a semilinear
parabolic problem with nonlocal boundary
conditions . . . . . . . . . . . . . . . 243--262
K. W. Morton and
N. A. Burgess The stability of boundary conditions for
an angled-derivative difference scheme 263--279
J. R. Ockendon The role of the Crank--Gupta model in
the theory of free and moving boundary
problems . . . . . . . . . . . . . . . . 281--293
K. A. Pericleous and
M. Cross and
G. Moran and
P. Chow and
K. S. Chan Free surface Navier--Stokes flows with
simultaneous heat transfer and
solidification/melting . . . . . . . . . 295--308
Simon Shaw and
J. R. Whiteman Towards adaptive finite element schemes
for partial differential Volterra
equation solvers . . . . . . . . . . . . 309--323
J. H. Song and
M. J. Edirisinghe and
J. R. G. Evans Mathematical modelling of binder removal
from plastically-formed engineering
ceramics . . . . . . . . . . . . . . . . 325--331
E. H. Twizell and
A. B. Gumel and
M. A. Arigu Second-order, $ L_0 $-stable methods for
the heat equation with time-dependent
boundary conditions . . . . . . . . . . 333--352
D. A. Voss and
A. Q. M. Khaliq Time-stepping algorithms for
semidiscretized linear parabolic PDEs
based on rational approximants with
distinct real poles . . . . . . . . . . 353--363
Kevin Burrage Parallel methods for ODEs . . . . . . . 1--3
Pierluigi Amodio and
Luigi Brugnano Parallel ODE solvers based on block BVMs 5--26
Claus Bendtsen A parallel stiff ODE solver based on
MIRKs . . . . . . . . . . . . . . . . . 27--36
K. Burrage and
H. Suhartanto Parallel iterated methods based on
multistep Runge--Kutta methods of Radau
type . . . . . . . . . . . . . . . . . . 37--57
K. Burrage and
H. Suhartanto Parallel iterated method based on
multistep Runge--Kutta of Radau type for
stiff problems . . . . . . . . . . . . . 59--77
J. C. Butcher Order and stability of parallel methods
for stiff problems . . . . . . . . . . . 79--96
Robert F. Enenkel and
Kenneth R. Jackson DIMSEMs-diagonally implicit
single-eigenvalue methods for the
numerical solution of stiff ODEs on
parallel computers . . . . . . . . . . . 97--133
Min Hu and
Ken Jackson and
Jan Janssen and
Stefan Vandewalle Remarks on the optimal convolution
kernel for CSOR waveform relaxation . . 135--156
P. J. van der Houwen and
J. J. B. de Swart Parallel linear system solvers for
Runge--Kutta methods . . . . . . . . . . 157--181
P. J. van der Houwen and
W. A. van der Veen Waveform relaxation methods for implicit
differential equations . . . . . . . . . 183--197
Zhongying Chen and
Charles A. Micchelli and
Yuesheng Xu The Petrov--Galerkin method for second
kind integral equations. II.
Multiwavelet schemes . . . . . . . . . . 199--233
L. Pouly and
J. Pousin Adaptive finite element for semi-linear
convection--diffusion problems . . . . . 235--259
Geng Yang and
Michel C. Delfour and
Michel Fortin Error analysis of mixed finite elements
for cylindrical shells . . . . . . . . . 261--277
P. R. Graves-Morris and
B. Beckermann The compass (star) identity for
vector-valued rational interpolants . . 279--294
Mihail Konstantinov and
Vera Angelova Sensitivity analysis of the differential
matrix Riccati equation based on the
associated linear differential system 295--301
Monika Wierse A new theoretically motivated higher
order upwind scheme on unstructured
grids of simplices . . . . . . . . . . . 303--335
Douglas N. Arnold and
Xiaobo Liu Interior estimates for a low order
finite element method for the
Reissner--Mindlin plate model . . . . . 337--360
M. Calvo and
D. J. Higham and
J. I. Montijano and
L. Rández Stepsize selection for tolerance
proportionality in explicit Runge--Kutta
codes . . . . . . . . . . . . . . . . . 361--382
Qingtang Jiang and
S. L. Lee Spectral properties of matrix continuous
refinement operators . . . . . . . . . . 383--399
Francisco Marcellán and
Franz Peherstorfer and
Robert Steinbauer Orthogonality properties of linear
combinations of orthogonal polynomials.
II . . . . . . . . . . . . . . . . . . . 401--428
Tim N. T. Goodman and
Charles A. Micchelli and
Giuseppe Rodriguez and
Sebastiano Seatzu Spectral factorization of Laurent
polynomials . . . . . . . . . . . . . . 429--454
C. A. Micchelli and
Thomas Sauer Regularity of multiwavelets . . . . . . 455--545
Y. Jeon and
I. H. Sloan and
E. P. Stephan and
J. Elschner Discrete qualocation methods for
logarithmic-kernel integral equations on
a piecewise smooth boundary . . . . . . 547--571
R. Hauber Numerical treatment of retarded
differential--algebraic equations by
collocation methods . . . . . . . . . . 573--592
Przemys\law Bogacki and
Stanley Weinstein and
Yuesheng Xu Distances between oriented curves in
geometric modeling . . . . . . . . . . . 593--621
Charles K. Chui and
Xianliang Shi and
Joachim Stöckler Affine frames, quasi-affine frames, and
their duals . . . . . . . . . . . . . . 1--17
C. Dagnino and
P. Lamberti Numerical integration of $2$-D integrals
based on local bivariate $ C^1$
quasi-interpolating splines . . . . . . 19--31
Thilo Penzl Numerical solution of generalized
Lyapunov equations . . . . . . . . . . . 33--48
Even Mehlum and
Christian Tarrou Invariant smoothness measures for
surfaces . . . . . . . . . . . . . . . . 49--63
Ben-yu Guo and
Yuan-ming Wang An almost monotone approximation for a
nonlinear two-point boundary value
problem . . . . . . . . . . . . . . . . 65--96
Tadeusz J. Janik Parallel implementation of the
$p$-version of the finite element method
for elliptic equations on a
shared-memory architecture . . . . . . . 97--110
Boris N. Khoromskij and
Siegfried Prössdorf Fast computations with the harmonic
Poincaré--Steklov operators on nested
refined meshes . . . . . . . . . . . . . 111--135
F. J. Narcowich and
N. Sivakumar and
J. D. Ward Stability results for scattered-data
interpolation on Euclidean spheres . . . 137--163
Lyle Noakes Nonlinear corner-cutting . . . . . . . . 165--177
J. Liandrat and
Ph. Tchamitchian On the fast approximation of some
nonlinear operators in nonregular
wavelet spaces . . . . . . . . . . . . . 179--192
D. E. Roberts On a vector $q$--$d$ algorithm . . . . . 193--219
Bin Han Symmetric orthonormal scaling functions
and wavelets with dilation factor $4$ 221--247
V. N. Temlyakov The best $m$-term approximation and
greedy algorithms . . . . . . . . . . . 249--265
A. Salam Formal vector orthogonal polynomials . . 267--289
Marie-Laurence Mazure Vandermonde type determinants and
blossoming . . . . . . . . . . . . . . . 291--315
F. Diele and
L. Lopez and
R. Peluso The Cayley transform in the numerical
solution of unitary differential systems 317--334
David R. Willé Experiments in stepsize control for
Adams linear multistep methods . . . . . 335--344
Bert Jüttler The dual basis functions for the
Bernstein polynomials . . . . . . . . . 345--352
Mohammed Laghchim-Lahlou The $ C^r $-fundamental splines of
Clough--Tocher and Powell--Sabin types
for Lagrange interpolation on a three
direction mesh . . . . . . . . . . . . . 353--366
Yuan Xu Minimal cubature formulae for a family
of radial weight functions . . . . . . . 367--380
Carsten Franke and
Robert Schaback Convergence order estimates of meshless
collocation methods using radial basis
functions . . . . . . . . . . . . . . . 381--399
Kendall Atkinson and
Yuesheng Xu Introduction . . . . . . . . . . . . . . 0--0
Eugene L. Allgower and
Kurt Georg Numerical exploitation of symmetry in
integral equations . . . . . . . . . . . 1--20
Davis K. Cope Recursive generation of the
Galerkin--Chebyshev matrix for
convolution kernels . . . . . . . . . . 21--35
Allan G. Dallas and
G. C. Hsiao and
R. E. Kleinman Observations on the numerical stability
of the Galerkin method . . . . . . . . . 37--67
Graeme Fairweather and
Andreas Karageorghis The method of fundamental solutions for
elliptic boundary value problems . . . . 69--95
Youngmok Jeon New boundary element formulas for the
biharmonic equation . . . . . . . . . . 97--115
Qun Lin and
Shuhua Zhang and
Ningning Yan An acceleration method for integral
equations by using interpolation
post-processing . . . . . . . . . . . . 117--129
Patrick Mund and
Ernst P. Stephan The preconditioned GMRES method for
systems of coupled FEM--BEM equations 131--144
Siegfried Prössdorf and
Jörg Schult Multiwavelet approximation methods for
pseudodifferential equations on curves.
Stability and convergence analysis . . . 145--171
Ulrich Rüde and
Aihui Zhou Multi-parameter extrapolation methods
for boundary integral equations . . . . 173--190
O. Steinbach and
W. L. Wendland The construction of some efficient
preconditioners in the boundary element
method . . . . . . . . . . . . . . . . . 191--216
Johannes Tausch and
Jacob White Second-kind integral formulations of the
capacitance problem . . . . . . . . . . 217--232
Thanh Tran and
Ernst P. Stephan and
Stefan Zaprianov Wavelet-based preconditioners for
boundary integral equations . . . . . . 233--249
Ming-Jun Lai and
Larry L. Schumaker On the approximation power of bivariate
splines . . . . . . . . . . . . . . . . 251--279
M. J. Hagger Automatic domain decomposition on
unstructured grids (DOUG) . . . . . . . 281--310
Gero Nießen An explicit norm representation for the
analysis of multilevel methods . . . . . 311--335
Gabriele Steidl A note on Fast Fourier Transforms for
nonequispaced grids . . . . . . . . . . 337--352
Michael S. Floater and
J. M. Peña Tensor-product monotonicity preservation 353--362
Hideaki Kaneko and
Richard D. Noren and
Peter A. Padilla Singularity preserving Galerkin method
for Hammerstein equations with
logarithmic kernel . . . . . . . . . . . 363--376
Hartmut Prautzsch Smoothness of subdivision surfaces at
extraordinary points . . . . . . . . . . 377--389
S. M. Kirkup Fortran codes for computing the discrete
Helmholtz integral operators . . . . . . 391--409
Gregory E. Fasshauer and
Joseph W. Jerome Multistep approximation algorithms:
improved convergence rates through
postconditioning with smoothing kernels 1--27
Annie Cuyt and
Kathy Driver and
Jieqing Tan and
Brigitte Verdonk Exploring multivariate Padé approximants
for multiple hypergeometric series . . . 29--49
Partha Niyogi and
Federico Girosi Generalization bounds for function
approximation from scattered noisy data 51--80
Gregory E. Fasshauer Hermite interpolation with radial basis
functions on spheres . . . . . . . . . . 81--96
James J. Carrig, Jr. and
Gerard G. L. Meyer A parameterized ordering for cache-,
register- and pipeline-efficient Givens
$ Q R $ decomposition . . . . . . . . . 97--113
Nguyen Huu Cong and
Karl Strehmel and
Rüdiger Weiner and
Helmut Podhaisky Runge--Kutta--Nyström-type parallel block
predictor--corrector methods . . . . . . 115--133
P. H. Muir Optimal discrete and continuous
mono-implicit Runge--Kutta schemes for
BVODEs . . . . . . . . . . . . . . . . . 135--167
Zhong-Zhi Bai A class of modified block SSOR
preconditioners for symmetric positive
definite systems of linear equations . . 169--186
J. C. Mason and
E. Venturino A Chebyshev polynomial method for line
integrals with singularities . . . . . . 187--208
Hartmut Prautzsch and
Ulrich Reif Degree estimates for $ C^k $-piecewise
polynomial subdivision surfaces . . . . 209--217
Marie-Laurence Mazure Chebyshev spaces with polynomial
blossoms . . . . . . . . . . . . . . . . 219--238
Karim Drouiche and
Djalil Kateb and
Daniel Boichu Daubechies--Matzinger wavelets and
Lorentz polynomials . . . . . . . . . . 239--260
Zuhua Luo Strictly positive definiteness of
Hermite interpolation on spheres . . . . 261--270
Koen Engelborghs and
Dirk Roose Numerical computation of stability and
detection of Hopf bifurcations of steady
state solutions of delay differential
equations . . . . . . . . . . . . . . . 271--289
G. D. Koras and
P. D. Kaklis Convexity conditions for parametric
tensor-product B-spline surfaces . . . . 291--309
Tjavdar Ivanov and
Vladimir Maz'ya and
Gunther Schmidt Boundary layer approximate
approximations and cubature of
potentials in domains . . . . . . . . . 311--342
Serge Dubuc and
Jean-Louis Merrien Dyadic Hermite interpolation on a
rectangular mesh . . . . . . . . . . . . 343--365
Ghislain Franssens A new non-polynomial univariate
interpolation formula of Hermite type 367--388
Bernd Silbermann Tribute to Professor Dr. rer. nat.
habil. Siegfried Prössdorf
02.01.1939---19.07.1998 . . . . . . . . i--ii
Tim N. T. Goodman and
Thomas P. Y. Yu Interpolation of medians . . . . . . . . 1--10
D. Calvetti and
L. Reichel On an inverse eigenproblem for Jacobi
matrices . . . . . . . . . . . . . . . . 11--20
Stefan Becuwe and
Annie Cuyt On the Froissart phenomenon in
multivariate homogeneous Padé
approximation . . . . . . . . . . . . . 21--40
David Levin Using Laurent polynomial representation
for the analysis of non-uniform binary
subdivision schemes . . . . . . . . . . 41--54
Ünal Gökta\cs and
Willy Hereman Algorithmic computation of generalized
symmetries of nonlinear evolution and
lattice equations . . . . . . . . . . . 55--80
Hui Ji and
Zuowei Shen Compactly supported (bi)orthogonal
wavelets generated by interpolatory
refinable functions . . . . . . . . . . 81--104
Martin Buhmann Foreword . . . . . . . . . . . . . . . . i--i
John C. Mason and
Charles A. Micchelli The Current Editor . . . . . . . . . . . i--i
Xingping Sun and
V. A. Menegatto Strictly positive definite functions on
the complex Hilbert sphere . . . . . . . 105--119
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward Approximation properties of zonal
function networks using scattered data
on the sphere . . . . . . . . . . . . . 121--137
Gregory E. Fasshauer Solving differential equations with
radial basis functions: multilevel
methods and smoothing . . . . . . . . . 139--159
Jeremy Levesley and
Will Light Direct form seminorms arising in the
theory of interpolation by translates of
a basis function . . . . . . . . . . . . 161--182
A. C. Faul and
M. J. D. Powell Proof of convergence of an iterative
technique for thin plate spline
interpolation in two dimensions . . . . 183--192
Shmuel Rippa An algorithm for selecting a good value
for the parameter $c$ in radial basis
function interpolation . . . . . . . . . 193--210
Cedric A. Zala and
Ian Barrodale Warping aerial photographs to orthomaps
using thin plate splines . . . . . . . . 211--227
S. D. Riemenschneider and
N. Sivakumar Gaussian radial-basis functions:
cardinal interpolation of $ l^p $ and
power-growth data . . . . . . . . . . . 229--251
R. K. Beatson and
J. B. Cherrie and
C. T. Mouat Fast fitting of radial basis functions:
methods based on preconditioned GMRES
iteration . . . . . . . . . . . . . . . 253--270
W. McLean and
O. Steinbach Boundary element preconditioners for a
hypersingular integral equation on an
interval . . . . . . . . . . . . . . . . 271--286
A. Bouhamidi and
A. Le Méhauté Multivariate interpolating $ (m, l, s)
$-splines . . . . . . . . . . . . . . . 287--314
Yunkang Liu Runge--Kutta-collocation methods for
systems of functional-differential and
functional equations . . . . . . . . . . 315--329
Paolo Costantini and
Boris I. Kvasov and
Carla Manni On discrete hyperbolic tension splines 331--354
Han-Lin Chen and
Si-Long Peng A quasi-wavelet algorithm for second
kind boundary integral equations . . . . 355--375
Erich Novak High dimensional integration . . . . . . 1--2
Leszek Plaskota The exponent of discrepancy of sparse
grids is at least $ 2.1933 $ . . . . . . 3--24
F. J. Hickernell and
H. Wo\'zniakowski Integration and approximation in
arbitrary dimensions . . . . . . . . . . 25--58
Muni V. Reddy and
Stephen Joe An average discrepancy for optimal
vertex-modified number-theoretic rules 59--69
Knut Petras On the Smolyak cubature error for
analytic functions . . . . . . . . . . . 71--93
H. N. Mhaskar and
J. Prestin On the detection of singularities of a
periodic function . . . . . . . . . . . 95--131
Serena Morigi and
Marian Neamtu Some results for a class of generalized
polynomials . . . . . . . . . . . . . . 133--149
Kendall Atkinson and
David Da-Kwun Chien A fast matrix--vector multiplication
method for solving the radiosity
equation . . . . . . . . . . . . . . . . 151--174
Michael S. Floater and
Tom Lyche Asymptotic convergence of degree-raising 175--187
Qingtang Jiang Parameterization of $m$-channel
orthogonal multifilter banks . . . . . . 189--211
V. N. Temlyakov Weak greedy algorithms . . . . . . . . . 213--227
P. J. van der Houwen and
B. P. Sommeijer Diagonally implicit Runge--Kutta methods
for $3$D shallow water applications . . 229--250
Bryan P. Rynne Convergence of Galerkin method solutions
of the integral equation for thin wire
antennas . . . . . . . . . . . . . . . . 251--259
Yongdeok Kim and
Sungyun Lee Modified Mini finite element for the
Stokes problem in $ {\bf R}^2 $ or $
{\bf R}^3 $ . . . . . . . . . . . . . . 261--272
Anonymous Preface . . . . . . . . . . . . . . . . i--ii
Volker Barthelmann and
Erich Novak and
Klaus Ritter High dimensional polynomial
interpolation on sparse grids . . . . . 273--288
Carl de Boor Computational aspects of multivariate
polynomial interpolation: indexing the
coefficients . . . . . . . . . . . . . . 289--301
Hakop A. Hakopian On a class of Hermite interpolation
problems . . . . . . . . . . . . . . . . 303--309
A. Le Méhauté On some aspects of multivariate
polynomial interpolation . . . . . . . . 311--333
H. Michael Möller and
Thomas Sauer $H$-bases for polynomial interpolation
and system solving . . . . . . . . . . . 335--362
Yuan Xu Polynomial interpolation in several
variables, cubature formulae, and ideals 363--376
Mariano Gasca and
Thomas Sauer Polynomial interpolation in several
variables . . . . . . . . . . . . . . . 377--410
Theodoros Evgeniou and
Massimiliano Pontil and
Tomaso Poggio Regularization Networks and Support
Vector Machines . . . . . . . . . . . . 1--50
I. Ben Salah and
P. Maroni The connection between self-associated
two-dimensional vector functionals and
third degree forms . . . . . . . . . . . 51--77
V. E. Maiorov and
R. Meir On the near optimality of the stochastic
approximation of smooth functions by
neural networks . . . . . . . . . . . . 79--103
Sven Ehrich On the estimation of wavelet
coefficients . . . . . . . . . . . . . . 105--129
Di-Rong Chen and
Bin Han and
Sherman D. Riemenschneider Construction of multivariate
biorthogonal wavelets with arbitrary
vanishing moments . . . . . . . . . . . 131--165
Lutz Angermann Error analysis of upwind-discretizations
for the steady-state incompressible
Navier--Stokes equations . . . . . . . . 167--198
Rida T. Farouki and
Hwan Pyo Moon and
Bahram Ravani Algorithms for Minkowski products and
implicitly-defined complex sets . . . . 199--229
Lucas Jódar and
Marco Marletta Solving ODEs arising from
non-selfadjoint Hamiltonian
eigenproblems . . . . . . . . . . . . . 231--256
K. Burrage and
H. Suhartanto Parallel iterated methods based on
variable step-size multistep
Runge--Kutta methods of Radau type for
stiff problems . . . . . . . . . . . . . 257--270
J. Lorente-Pardo and
P. Sablonni\`ere and
M. C. Serrano-Pérez On the convexity of $ C^1 $ surfaces
associated with some quadrilateral
finite elements . . . . . . . . . . . . 271--292
E. Venturino and
G. A. Chandler Calculation of line integrals in
boundary integral methods . . . . . . . 293--318
Say Song Goh and
Chee Heng Yeo Uncertainty products of local periodic
wavelets . . . . . . . . . . . . . . . . 319--333
Martin Burger and
Heinz W. Engl Training neural networks with noisy data
as an ill-posed problem . . . . . . . . 335--354
Oleg Davydov and
Larry L. Schumaker Locally linearly independent bases for
bivariate polynomial spline spaces . . . 355--373
Xiu Ye Stabilized finite element approximations
for the Reissner--Mindlin plate . . . . 375--386
H. N. Mhaskar and
F. J. Narcowich and
J. Prestin and
J. D. Ward Polynomial frames on the sphere . . . . 387--403
Z. Jackiewicz and
A. Marthinsen and
B. Owren Construction of Runge--Kutta methods of
Crouch--Grossman type of high order . . 405--415
Anonymous Author index . . . . . . . . . . . . . . 417--418
Anonymous Publisher's Announcement . . . . . . . . 1--6
Mari Paz Calvo and
Arieh Iserles and
Antonella Zanna Semi-explicit methods for isospectral
flows . . . . . . . . . . . . . . . . . 1--24
Frans Kuijt and
Ruud van Damme A linear approach to shape preserving
spline approximation . . . . . . . . . . 25--48
Andreas Meister and
Christof Vömel Efficient preconditioning of linear
systems arising from the discretization
of hyperbolic conservation laws . . . . 49--73
Víctor Domínguez and
Francisco-Javier Sayas Full asymptotics of spline
Petrov--Galerkin methods for some
periodic pseudodifferential equations 75--101
P. Costantini and
T. N. T. Goodman and
C. Manni Constructing $ C^3 $ shape preserving
interpolating space curves . . . . . . . 103--127
Marie-Laurence Mazure Chebyshev splines beyond total
positivity . . . . . . . . . . . . . . . 129--156
Ulrich Reif and
Peter Schröder Curvature integrability of subdivision
surfaces . . . . . . . . . . . . . . . . 157--174
Liu Du and
Ningning Yan Gradient recovery type a posteriori
error estimate for finite element
approximation on non-uniform meshes . . 175--193
Robert S. Womersley and
Ian H. Sloan How good can polynomial interpolation on
the sphere be? . . . . . . . . . . . . . 195--226
Guo Ben-yu and
Wang Li-lian Jacobi interpolation approximations and
their applications to singular
differential equations . . . . . . . . . 227--276
V. N. Temlyakov Greedy algorithms in Banach spaces . . . 277--292
Jinchao Xu and
Aihui Zhou Local and parallel finite element
algorithms based on two-grid
discretizations for nonlinear problems 293--327
Jungho Yoon Computational aspects of approximation
to scattered data by using ``shifted''
thin-plate splines . . . . . . . . . . . 329--359
R. Gribonval and
M. Nielsen Approximate Weak Greedy Algorithms . . . 361--378
Geoff Boyd and
Charles A. Micchelli and
Gilbert Strang and
Ding-Xuan Zhou Binomial Matrices . . . . . . . . . . . 379--391
Anonymous Author index . . . . . . . . . . . . . . 393--394
Anonymous A Posteriori Error Estimation and
Adaptive Computational Methods . . . . . 1--2
Mark Ainsworth and
Donald W. Kelly \em A posteriori error estimators and
adaptivity for finite element
approximation of the non-homogeneous
Dirichlet problem . . . . . . . . . . . 3--23
Ana Alonso and
Anahí Dello Russo and
Claudio Padra and
Rodolfo Rodríguez \em A posteriori error estimates and a
local refinement strategy for a finite
element method to solve
structural-acoustic vibration problems 25--59
Jan Brandts The Cauchy--Riemann equations:
discretization by finite elements, fast
solution of the second variable, and a
posteriori error estimation . . . . . . 61--77
Carsten Carstensen and
Sören Bartels and
Roland Klose An experimental survey of a posteriori
Courant finite element error control for
the Poisson equation . . . . . . . . . . 79--106
Vincent Heuveline and
Rolf Rannacher \em A posteriori error control for
finite element approximations of
elliptic eigenvalue problems . . . . . . 107--138
M. Holst Adaptive numerical treatment of elliptic
systems on manifolds . . . . . . . . . . 139--191
Tong Kang and
Dehao Yu Some a posteriori error estimates of the
finite-difference streamline--diffusion
method for convection-dominated
diffusion equations . . . . . . . . . . 193--218
Michal K\vrí\vzek and
Jan N\vemec and
Tomá\vs Vejchodský \em A posteriori error estimates for
axisymmetric and nonlinear problems . . 219--236
Gerd Kunert Robust a posteriori error estimation
for a singularly perturbed
reaction--diffusion equation on
anisotropic tetrahedral meshes . . . . . 237--259
Wenbin Liu and
Heping Ma and
Tao Tang On mixed error estimates for elliptic
obstacle problems . . . . . . . . . . . 261--283
Wenbin Liu and
Ningning Yan \em A posteriori error estimates for
distributed convex optimal control
problems . . . . . . . . . . . . . . . . 285--309
J. M. Melenk and
B. I. Wohlmuth On residual-based a posteriori error
estimation in $ h p $--FEM . . . . . . . 311--331
Ningning Yan \em A posteriori error estimators of
gradient recovery type for elliptic
obstacle problems . . . . . . . . . . . 333--361
Zhimin Zhang \em A posteriori error estimates on
irregular grids based on gradient
recovery . . . . . . . . . . . . . . . . 363--374
L. Zhang and
T. Strouboulis and
I. Babu\vska \em A posteriori estimators for the FEM:
analysis of the robustness of the
estimators for the Poisson equation . . 375--392
L. Zhang and
T. Strouboulis and
I. Babu\vska $ \eta \% $-superconvergence of finite
element solutions and error estimators 393--404
Zhongying Chen and
Charles A. Micchelli and
Yuesheng Xu Discrete wavelet Petrov--Galerkin
methods . . . . . . . . . . . . . . . . 1--28
Peter Alfeld and
Larry L. Schumaker Smooth macro-elements based on
Powell--Sabin triangle splits . . . . . 29--46
Martin Petzoldt \em A posteriori error estimators for
elliptic equations with discontinuous
coefficients . . . . . . . . . . . . . . 47--75
Cheng-long Xu and
Ben-yu Guo Mixed Laguerre--Legendre spectral method
for incompressible flow in an infinite
strip . . . . . . . . . . . . . . . . . 77--96
Anonymous Modeling and Computation in Optics and
Electromagnetics . . . . . . . . . . . . 97--98
Habib Ammari and
Gang Bao Maxwell's equations in a perturbed
periodic structure . . . . . . . . . . . 99--112
Anne-Sophie Bonnet-Bendhia and
Karim Ramdani Diffraction by an acoustic grating
perturbed by a bounded obstacle . . . . 113--138
Johannes Elschner and
Rainer Hinder and
Gunther Schmidt Finite element solution of conical
diffraction problems . . . . . . . . . . 139--156
Wei Cai Algorithmic issues for electromagnetic
scattering in layered media: Green's
functions, current basis, and fast
solver . . . . . . . . . . . . . . . . . 157--174
Yu Chen A fast, direct algorithm for the
Lippmann--Schwinger integral equation in
two dimensions . . . . . . . . . . . . . 175--190
Charles A. Macon and
Leo C. Kempel and
Stephen W. Schneider Radiation and scattering by complex
conformal antennas on a circular
cylinder . . . . . . . . . . . . . . . . 191--209
Tri Van and
Aihua Wood Analysis of time-domain Maxwell's
equations for $3$-D cavities . . . . . . 211--228
A. Bermúdez and
D. Gómez Pedreira and
P. Joly A hybrid approach for the computation of
guided modes in integrated optics . . . 229--261
P. Kuchment and
L. Kunyansky Differential operators on graphs and
photonic crystals . . . . . . . . . . . 263--290
Zhongying Chen and
Ronghua Li and
Aihui Zhou A note on the optimal $ L^2 $-estimate
of the finite volume element method . . 291--303
Sergio Albeverio and
Lan-Jun Lao and
Xue-Lei Zhao A continuous time financial market with
a Poisson process as transaction timer 305--330
S. Börm and
R. Hiptmair Multigrid computation of axisymmetric
electromagnetic fields . . . . . . . . . 331--356
R. G. Baraniuk and
R. A. DeVore and
G. Kyriazis and
X. M. Yu Near Best Tree Approximation . . . . . . 357--373
Mira Bozzini and
Licia Lenarduzzi and
Robert Schaback Adaptive Interpolation by Scaled
Multiquadrics . . . . . . . . . . . . . 375--387
Anonymous Author Index . . . . . . . . . . . . . . 389--390
Anonymous Preface; Advances in Geometrical
Algorithms and Representations . . . . . 1--3
Hyeong In Choi and
Doo Seok Lee and
Hwan Pyo Moon Clifford algebra, spin representation,
and rational parameterization of curves
and surfaces . . . . . . . . . . . . . . 5--48
Stefan Leopoldseder Cone spline surfaces and spatial arc
splines --- a sphere geometric approach 49--66
Jens Gravesen and
Michael Ungstrup Constructing invariant fairness measures
for surfaces . . . . . . . . . . . . . . 67--88
Rimvydas Krasauskas Toric Surface Patches . . . . . . . . . 89--113
Kenneth Sprott and
Bahram Ravani Kinematic Generation of Ruled Surfaces 115--133
Bert Jüttler and
Alf Felis Least-Squares Fitting of Algebraic
Spline Surfaces . . . . . . . . . . . . 135--152
Michel Bercovier and
Moshe Luzon and
Elan Pavlov Detecting planar patches in an
unorganised set of points in space . . . 153--166
A. Mazroui and
D. Sbibih and
P. Sablonni\`ere Existence and construction of $ H_1
$-splines of class $ C^k $ on a three
directional mesh . . . . . . . . . . . . 167--198
Mariantonia Cotronei and
Maria Laura Lo Cascio A method for the construction of
families of biorthogonal filters with
prescribed properties . . . . . . . . . 199--210
Ricardo Celorrio and
Víctor Domínguez and
Francisco-Javier Sayas Periodic Dirac delta distributions in
the boundary element method . . . . . . 211--236
Tom Lyche and
Trygve K. Nilssen and
Ragnar Winther Preconditioned iterative methods for
scattered data interpolation . . . . . . 237--256
Hoi Ling Cheung and
Canqin Tang and
Ding-Xuan Zhou Supports of locally linearly independent
$M$-refinable functions, attractors of
iterated function systems and tilings 257--268
V. N. Temlyakov A criterion for convergence of weak
greedy algorithms . . . . . . . . . . . 269--280
George C. Hsiao and
Andreas Rathsfeld Wavelet collocation methods for a first
kind boundary integral equation in
acoustic scattering . . . . . . . . . . 281--308
Yunqing Huang and
Weimin Xue Convergence of finite element
approximations and multilevel
linearization for Ginzburg--Landau model
of $d$-wave superconductors . . . . . . 309--330
Wei Wu and
Guorui Feng and
Xin Li Training multilayer perceptrons via
minimization of sum of ridge functions 331--347
Jian-guo Tang and
He-ping Ma Single and multi-interval Legendre $
\tau $-methods in time for parabolic
equations . . . . . . . . . . . . . . . 349--367
Rida T. Farouki and
Mohammad al-Kandari and
Takis Sakkalis Hermite interpolation by
rotation-invariant spatial
Pythagorean-hodograph curves . . . . . . 369--383
Lyle Noakes Quadratic Interpolation on Spheres . . . 385--395
Anonymous Author Index . . . . . . . . . . . . . . 397--398
Nicholas J. Daras Generalized Padé-type approximation and
integral representations . . . . . . . . 1--39
P. Costantini and
C. Manni Shape-preserving $ C^3 $ interpolation:
the curve case . . . . . . . . . . . . . 41--63
Manfred Tasche and
Hansmartin Zeuner Roundoff error analysis of the recursive
moving window discrete Fourier transform 65--78
J. M. Carnicer and
E. Mainar and
J. M. Peña Restricted Systems . . . . . . . . . . . 79--90
Akram Aldroubi and
Qiyu Sun Preface . . . . . . . . . . . . . . . . 91--92
Radu Balan and
Peter G. Casazza and
Christopher Heil and
Zeph Landau Deficits and Excesses of Frames . . . . 93--116
Ole Christensen and
Diana T. Stoeva $p$-Frames in separable Banach spaces 117--126
Jean-Pierre Gabardo and
Deguang Han Frames Associated with Measurable Spaces 127--147
Karlheinz Gröchenig Localized frames are finite unions of
Riesz sequences . . . . . . . . . . . . 149--157
Charles K. Chui and
Wenjie He and
Joachim Stöckler and
Qiyu Sun Compactly supported tight affine frames
with integer dilations and maximum
vanishing moments . . . . . . . . . . . 159--187
Stephan Dahlke and
Peter Maass and
Gerd Teschke Reconstruction of wideband reflectivity
densities by wavelet transforms . . . . 189--209
Bin Han and
Qun Mo Multiwavelet Frames from Refinable
Function Vectors . . . . . . . . . . . . 211--245
Qingtang Jiang Parameterizations of Masks for Tight
Affine Frames with Two
Symmetric/Antisymmetric Generators . . . 247--268
Hong Oh Kim and
Rae Young Kim and
Jae Kun Lim Quasi-biorthogonal frame multiresolution
analyses and wavelets . . . . . . . . . 269--296
Maciej Paluszy\'nski and
Hrvoje \vSiki\'c and
Guido Weiss and
Shaoliang Xiao Tight frame wavelets, their dimension
functions, MRA tight frame wavelets and
connectivity properties . . . . . . . . 297--327
Peter G. Casazza and
Ole Christensen Gabor Frames over Irregular Lattices . . 329--344
Youming Liu and
Yang Wang The Uniformity of Non-Uniform Gabor
Bases . . . . . . . . . . . . . . . . . 345--355
John J. Benedetto and
Matthew Fickus Finite Normalized Tight Frames . . . . . 357--385
Peter G. Casazza and
Jelena Kova\vcevi\'c Equal-Norm Tight Frames with Erasures 387--430
Anonymous Author Index . . . . . . . . . . . . . . 431--432
Benqi Guo and
Hae-Soo Oh and
Zhimin Zhang Preface . . . . . . . . . . . . . . . . 1--2
Zhiqiang Cai and
Jim Douglas, Jr. and
Moongyu Park Development and analysis of higher order
finite volume methods over rectangles
for elliptic equations . . . . . . . . . 3--33
Ben-yu Guo and
Jie Shen and
Cheng-long Xu Spectral and pseudospectral
approximations using Hermite functions:
application to the Dirac equation . . . 35--55
Lilia Krivodonova and
Joseph E. Flaherty Error estimation for discontinuous
Galerkin solutions of two-dimensional
hyperbolic problems . . . . . . . . . . 57--71
Ana-Maria Matache and
Tomá\vs Roubí\vcek and
Christoph Schwab Higher-order convex approximations of
Young measures in optimal control . . . 73--97
Yuesheng Xu and
Qingsong Zou Adaptive wavelet methods for elliptic
operator equations with nonlinear terms 99--146
You-lan Zhu and
Bin-mu Chen and
Hongliang Ren and
Hanping Xu Application of the
singularity-separating method to
American exotic option pricing . . . . . 147--158
Alexei Bespalov Orthogonal systems of singular functions
and numerical treatment of problems with
degeneration of data . . . . . . . . . . 159--182
Gee Ju Chae and
Hong Oh Kim On the Preservation of Stability under
Convolutions . . . . . . . . . . . . . . 183--193
Han-Lin Chen and
Si-Long Peng Localization of dual periodic scaling
and wavelet functions . . . . . . . . . 195--210
Norbert Heuer and
Ernst P. Stephan An overlapping domain decomposition
preconditioner for high order BEM with
anisotropic elements . . . . . . . . . . 211--230
Jens Hoefkens and
Martin Berz and
Kyoko Makino Computing validated solutions of
implicit differential equations . . . . 231--253
Hyung-Chun Lee Analysis and computational methods of
Dirichlet boundary optimal control
problems for $2$D Boussinesq equations 255--275
Chang-Ock Lee and
Jongwoo Lee and
Dongwoo Sheen A locking-free nonconforming finite
element method for planar linear
elasticity . . . . . . . . . . . . . . . 277--291
Yuesheng Li The inversion of multiscale convolution
approximation and average of
distributions . . . . . . . . . . . . . 293--306
Lei Zhang and
Haesun Park and
J. Ben Rosen Exponential modeling with unknown model
order using structured nonlinear total
least norm . . . . . . . . . . . . . . . 307--322
Ningning Yan \em A posteriori error estimators of
gradient recovery type for FEM of a
model optimal control problem . . . . . 323--336
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 337--337
Youngmok Jeon and
William McLean A new boundary element method for the
biharmonic equation with Dirichlet
boundary conditions . . . . . . . . . . 339--354
Cornelis V. M. van der Mee and
M. Z. Nashed and
Sebastiano Seatzu Sampling expansions and interpolation in
unitarily translation invariant
reproducing kernel Hilbert spaces . . . 355--372
Eng-Wee Chionh Parallel Dixon Matrices by Bracket . . . 373--383
Roberto Barrio A unified rounding error bound for
polynomial evaluation . . . . . . . . . 385--399
M. Calvo and
M. P. Laburta and
J. I. Montijano Two-step high order starting values for
implicit Runge--Kutta methods . . . . . 401--412
Anonymous Author Index . . . . . . . . . . . . . . 413--414
Anonymous Preface . . . . . . . . . . . . . . . . 1--3
J. M. Carnicer and
M. Gasca Classification of bivariate
configurations with simple Lagrange
interpolation formulae . . . . . . . . . 5--16
Qiuhui Chen and
Yuesheng Xu The cascade algorithm for the numerical
computation of refinable functions . . . 17--24
Paolo Costantini and
Francesca Pelosi Shape-Preserving Approximation of
Spatial Data . . . . . . . . . . . . . . 25--51
S. Dekel and
D. Leviatan On measuring the efficiency of kernel
operators in $ L_p(\mathbb {R}^d) $ . . 53--65
K. Jetter and
G. Zimmermann Polynomial Reproduction in Subdivision 67--86
A. Kouibia and
M. Pasadas Approximation of surfaces by fairness
bicubic splines . . . . . . . . . . . . 87--103
P. Lamberti and
C. Manni Tensioned quasi-interpolation via
geometric continuity . . . . . . . . . . 105--127
U. Luther Approximation spaces in the numerical
analysis of operator equations . . . . . 129--147
T. Lyche and
J. M. Peña Optimally Stable Multivariate Bases . . 149--159
E. Mainar and
J. M. Peña Quadratic-Cycloidal Curves . . . . . . . 161--175
Marie-Laurence Mazure Blossoms and Optimal Bases . . . . . . . 177--203
H. Michael Möller and
Thomas Sauer Multivariate refinable functions of high
approximation order via quotient ideals
of Laurent polynomials . . . . . . . . . 205--228
Paul Sablonni\`ere Bernstein-type bases and corner cutting
algorithms for $ C^1 $ Merrien's curves 229--246
Yuan Xu Polynomial interpolation on the unit
sphere and on the unit ball . . . . . . 247--260
Allan Pinkus Strictly positive definite functions on
a real inner product space . . . . . . . 263--271
Marie Madeleine Derriennic Shape preserving polynomial curves . . . 273--292
Marius Bochniak The dual singular function method for
$2$D boundary integral equations . . . . 293--310
Song Li Characterization of smoothness of
multivariate refinable functions and
convergence of cascade algorithms of
nonhomogeneous refinement equations . . 311--331
Xiu Ye Discontinuous stable elements for the
incompressible flow . . . . . . . . . . 333--345
V. N. Konovalov and
D. Leviatan Free-knot splines approximation of
$s$-monotone functions . . . . . . . . . 347--366
Douglas P. Hardin and
Thomas A. Hogan and
Qiyu Sun The matrix-valued Riesz lemma and local
orthonormal bases in shift-invariant
spaces . . . . . . . . . . . . . . . . . 367--384
Hwanho Kim and
Jinchao Xu and
Ludmil Zikatanov Uniformly convergent multigrid methods
for convection--diffusion problems
without any constraint on coarse grids 385--399
Peter Oswald Smoothness of nonlinear
median-interpolation subdivision . . . . 401--423
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 425--425
Anonymous Author Index . . . . . . . . . . . . . . 427--428
Francis J. Narcowich and
Joseph D. Ward Preface [Computational and approximation
on the sphere] . . . . . . . . . . . . . 1--2
Marian Neamtu and
Larry L. Schumaker On the approximation order of splines on
spherical triangulations . . . . . . . . 3--20
Daniel Potts Approximation of scattered data by
trigonometric polynomials on the torus
and the $2$-sphere . . . . . . . . . . . 21--36
Yuan Xu Approximation by means of $h$-harmonic
polynomials on the unit sphere . . . . . 37--58
D. M. Healy, Jr. and
P. J. Kostelec and
D. Rockmore Towards safe and effective high-order
Legendre transforms with applications to
FFTs for the $2$-sphere . . . . . . . . 59--105
Ian H. Sloan and
Robert S. Womersley Extremal systems of points and numerical
integration on the sphere . . . . . . . 107--125
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward On the representation of band-dominant
functions on the sphere using finitely
many bits . . . . . . . . . . . . . . . 127--146
Stephan Dahlke and
Gabriele Steidl and
Gerd Teschke Coorbit spaces and Banach frames on
homogeneous spaces with applications to
the sphere . . . . . . . . . . . . . . . 147--180
W. Freeden and
V. Michel Orthogonal zonal, tesseral and sectorial
wavelets on the sphere for the analysis
of satellite data . . . . . . . . . . . 181--217
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 219--219
Larry L. Schumaker Preface [Multivariate splines] . . . . . 221--222
Oleg Davydov and
Frank Zeilfelder Scattered data fitting by direct
extension of local polynomials to
bivariate splines . . . . . . . . . . . 223--271
Ming-Jun Lai and
A. LeMéhauté A new kind of trivariate $ C^1 $
macro-element . . . . . . . . . . . . . 273--292
Ming-Jun Lai and
Paul Wenston $ L_1 $ spline methods for scattered
data interpolation and approximation . . 293--315
O. Nouisser and
D. Sbibih and
P. Sablonni\`ere Pairs of B-splines with small support on
the four-directional mesh generating a
partition of unity . . . . . . . . . . . 317--355
Günther Nürnberger and
Larry L. Schumaker and
Frank Zeilfelder Lagrange interpolation by $ C^1 $ cubic
splines on triangulated quadrangulations 357--380
Günther Nürnberger and
Frank Zeilfelder Lagrange interpolation by bivariate $
C^1 $-splines with optimal approximation
order . . . . . . . . . . . . . . . . . 381--419
Larry L. Schumaker and
Tatyana Sorokina $ C^1 $ quintic splines on type-4
tetrahedral partitions . . . . . . . . . 421--444
Anonymous Errata . . . . . . . . . . . . . . . . . 445--445
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 447--447
Anonymous Author Index . . . . . . . . . . . . . . 449--450
Holger Rauhut Best time localized trigonometric
polynomials and wavelets . . . . . . . . 1--20
Tri Van and
Aihua Wood Finite element analysis of transient
electromagnetic scattering problems . . 21--48
T. N. T. Goodman and
B. H. Ong Shape-preserving interpolation by
splines using vector subdivision . . . . 49--77
Smadar Karni and
Alexander Kurganov Local error analysis for approximate
solutions of hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 79--99
Anonymous Past editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 101--101
V. Maiorov On lower bounds in radial basis
approximation . . . . . . . . . . . . . 103--113
Jia-fu Lin and
Qun Lin Extrapolation of the Hood--Taylor
elements for the Stokes problem . . . . 115--123
Anne-Sophie Piquemal and
Jacques Liandrat A new wavelet preconditioner for finite
difference operators . . . . . . . . . . 125--163
Zhihua Zhang Periodic wavelet frames . . . . . . . . 165--180
Fangyan Lu and
Hongwei Sun Positive definite dot product kernels in
learning theory . . . . . . . . . . . . 181--198
Anonymous Past editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 199--199
Youngmok Jeon and
Dongwoo Sheen Analysis of a cell boundary element
method . . . . . . . . . . . . . . . . . 201--222
Jiachang Sun and
Huiyuan Li Generalized Fourier transform on an
arbitrary triangular domain . . . . . . 223--248
P. B. Borwein and
A. Cuyt and
P. Zhou Explicit construction of general
multivariate Padé approximants to an
Appell function . . . . . . . . . . . . 249--273
Aurelian Bejancu and
Malcolm A. Sabin Maximal approximation order for a
box-spline semi-cardinal interpolation
scheme on the three-direction mesh . . . 275--298
Rida T. Farouki and
Chang Yong Han Solution of elementary equations in the
Minkowski geometric algebra of complex
sets . . . . . . . . . . . . . . . . . . 301--323
Francesca Pelosi and
Rida T. Farouki and
Carla Manni and
Alessandra Sestini Geometric Hermite interpolation by
spatial Pythagorean-hodograph cubics . . 325--352
Olaf Hansen A fast collocation method for the
radiosity equation, based on the
hierarchical algorithm of Hanrahan and
Salzman: the $1$ d case . . . . . . . . 353--375
Q. T. Le Gia Approximation of parabolic PDEs on
spheres using spherical basis functions 377--397
Anonymous Preface . . . . . . . . . . . . . . . . 1--3
Bengt Fornberg and
Natasha Flyer Accuracy of radial basis function
interpolation and derivative
approximations on $1$-D infinite grids 5--20
Jichun Li Mixed methods for fourth-order elliptic
and parabolic problems using radial
basis functions . . . . . . . . . . . . 21--30
Leevan Ling and
Edward J. Kansa A least-squares preconditioner for
radial basis functions collocation
methods . . . . . . . . . . . . . . . . 31--54
Graeme Fairweather and
Andreas Karageorghis and
Yiorgos-Sokratis Smyrlis A matrix decomposition MFS algorithm for
axisymmetric biharmonic problems . . . . 55--71
Satya N. Atluri and
Shengping Shen The basis of meshless domain
discretization: the meshless local
Petrov--Galerkin (MLPG) method . . . . . 73--93
I. Tsukanov and
V. Shapiro Meshfree modeling and analysis of
physical fields in heterogeneous media 95--124
C. J. S. Alves and
C. S. Chen A new method of fundamental solutions
applied to nonhomogeneous elliptic
problems . . . . . . . . . . . . . . . . 125--142
R. Keck and
D. Hietel A projection technique for
incompressible flow in the meshless
finite volume particle method . . . . . 143--169
S. P. Xiao and
T. Belytschko Material stability analysis of particle
methods . . . . . . . . . . . . . . . . 171--190
Weimin Han and
Wing Kam Liu Flexible piecewise approximations based
on partition of unity . . . . . . . . . 191--199
Zong Min Wu and
Jian Ping Liu Generalized Strang--Fix condition for
scattered data quasi-interpolation . . . 201--214
Klaus Höllig and
Christian Apprich and
Anja Streit Introduction to the Web-method and its
applications . . . . . . . . . . . . . . 215--237
J. Pousin and
T. Sassi \em A posteriori error estimates and
domain decomposition with nonmatching
grids . . . . . . . . . . . . . . . . . 241--263
Xin Li On convergence of the method of
fundamental solutions for solving the
Dirichlet problem of Poisson's equation 265--277
A. Mazroui and
D. Sbibih and
A. Tijini A simple method for smoothing functions
and compressing Hermite data . . . . . . 279--297
Svenja Lowitzsch Matrix-valued radial basis functions:
stability estimates and applications . . 299--315
Stefano De Marchi and
Robert Schaback and
Holger Wendland Near-optimal data-independent point
locations for radial basis function
interpolation . . . . . . . . . . . . . 317--330
Jieqing Tan and
Ping Zhou On the finite sum representations of the
Lauricella functions $ F_D $ . . . . . . 333--351
M. R. Capobianco and
W. Themistoclakis Interpolating polynomial wavelets on $ [
- 1, 1] $ . . . . . . . . . . . . . . . 353--374
Ye Peixin Computational complexity of the
integration problem for anisotropic
classes . . . . . . . . . . . . . . . . 375--392
Jean-Paul Calvi Intertwining unisolvent arrays for
multivariate Lagrange interpolation . . 393--414
Anonymous Preface . . . . . . . . . . . . . . . . 1--3
Arne Barinka and
Stephan Dahlke and
Wolfgang Dahmen Adaptive application of operators in
standard representation . . . . . . . . 5--34
John J. Benedetto and
Songkiat Sumetkijakan Tight frames and geometric properties of
wavelet sets . . . . . . . . . . . . . . 35--56
M. D. Buhmann Semi-infinite cardinal interpolation
with multiquadrics and beyond . . . . . 57--80
Brian Camp and
Tao Lin and
Yanping Lin and
Weiwei Sun Quadratic immersed finite element spaces
and their approximation capabilities . . 81--112
J. M. Carnicer and
M. Gasca Interpolation on lattices generated by
cubic pencils . . . . . . . . . . . . . 113--130
A. S. Cavaretta and
A. Sharma Optimal recovery of interpolation
operators in Hardy spaces . . . . . . . 131--141
Carl de Boor On interpolation by radial polynomials 143--153
Di-Rong Chen and
Dao-Hong Xiang The consistency of multicategory support
vector machines . . . . . . . . . . . . 155--169
Qiuhui Chen and
Norden Huang and
Sherman Riemenschneider and
Yuesheng Xu A B-spline approach for empirical mode
decompositions . . . . . . . . . . . . . 171--195
Yanping Chen Uniform convergence analysis of finite
difference approximations for singular
perturbation problems on an adapted grid 197--212
Zhongying Chen and
Bin Wu and
Yuesheng Xu Multilevel augmentation methods for
differential equations . . . . . . . . . 213--238
Charles K. Chui and
Jian-ao Lian Construction of orthonormal
multi-wavelets with additional vanishing
moments . . . . . . . . . . . . . . . . 239--262
Jorge Delgado and
Juan Manuel Peña On the generalized Ball bases . . . . . 263--280
Johan De Villiers On refinable functions and subdivision
with positive masks . . . . . . . . . . 281--295
De-Jun Feng and
Long Wang and
Yang Wang Generation of finite tight frames by
Householder transformations . . . . . . 297--309
Michael S. Floater and
Kai Hormann and
Géza Kós A general construction of barycentric
coordinates over convex polygons . . . . 311--331
Say Song Goh and
Tim N. T. Goodman Inequalities on time-concentrated or
frequency-concentrated functions . . . . 333--351
Benqi Guo and
Norbert Heuer The optimal convergence of the $h$--$p$
version of the boundary element method
with quasiuniform meshes for elliptic
problems on polygonal domains . . . . . 353--374
Bin Han Solutions in Sobolev spaces of vector
refinement equations with a general
dilation matrix . . . . . . . . . . . . 375--403
Alan J. Hoffman Gersgorin variations. II. On themes of
Fan and Gudkov . . . . . . . . . . . . . 1--6
Min Huang A construction of multiscale bases for
Petrov--Galerkin methods for integral
equations . . . . . . . . . . . . . . . 7--22
Rong-Qing Jia and
Song-Tao Liu Wavelet bases of Hermite cubic splines
on the interval . . . . . . . . . . . . 23--39
Ming-Jun Lai Construction of multivariate compactly
supported orthonormal wavelets . . . . . 41--56
Byung-Gook Lee and
Yeon Ju Lee and
Jungho Yoon Stationary binary subdivision schemes
using radial basis function
interpolation . . . . . . . . . . . . . 57--72
D. Leviatan and
V. N. Temlyakov Simultaneous approximation by greedy
algorithms . . . . . . . . . . . . . . . 73--90
Qiaofang Lian and
Yongge Wang and
Dunyan Yan A characterization of $ L^p(\mathbb {R})
$ by local trigonometric bases with $ 1 <
p < \infty $ . . . . . . . . . . . . . . 91--104
Tom Lyche and
Marie-Laurence Mazure Total positivity and the existence of
piecewise exponential B-splines . . . . 105--133
Dong Mao and
Lihua Shen and
Aihui Zhou Adaptive finite element algorithms for
eigenvalue problems based on local
averaging type a posteriori error
estimates . . . . . . . . . . . . . . . 135--160
Sayan Mukherjee and
Partha Niyogi and
Tomaso Poggio and
Ryan Rifkin Learning theory: stability is sufficient
for generalization and necessary and
sufficient for consistency of empirical
risk minimization . . . . . . . . . . . 161--193
Lyle Noakes Duality and Riemannian cubics . . . . . 195--209
Thomas Sauer Differentiability of multivariate
refinable functions and factorization 211--235
R. Schaback and
J. Werner Linearly constrained reconstruction of
functions by kernels with applications
to machine learning . . . . . . . . . . 237--258
Reinhold Schneider and
Yuesheng Xu and
Aihui Zhou An analysis of discontinuous Galerkin
methods for elliptic problems . . . . . 259--286
Shi Shu and
Jinchao Xu and
Ying Yang and
Haiyuan Yu An algebraic multigrid method for finite
element systems on criss-cross grids . . 287--304
Li-lian Wang and
Ben-yu Guo Stair Laguerre pseudospectral method for
differential equations on the half line 305--322
Ding-Xuan Zhou and
Kurt Jetter Approximation with polynomial kernels
and SVM classifiers . . . . . . . . . . 323--344
Michael S. Floater and
Valérie Pham-Trong Convex combination maps over
triangulations, tilings, and tetrahedral
meshes . . . . . . . . . . . . . . . . . 347--356
Roland Opfer Multiscale kernels . . . . . . . . . . . 357--380
Elena Zampieri and
Luca F. Pavarino An explicit second order spectral
element method for acoustic waves . . . 381--401
Yinnian He and
Kam-Moon Liu Multi-level spectral Galerkin method for
the Navier--Stokes equations. II. Time
discretization . . . . . . . . . . . . . 403--433
V. Maiorov Pseudo-dimension and entropy of
manifolds formed by affine-invariant
dictionary . . . . . . . . . . . . . . . 435--450
M.-Y. Y. Kim Global dynamics of approximate solutions
to an age-structured epidemic model with
diffusion . . . . . . . . . . . . . . . 451--474
Valery A. Zheludev Interpolatory subdivision schemes with
infinite masks originated from splines 475--506
J. M. Carnicer and
J. M. Peña The work of Mariano Gasca . . . . . . . 1--8
D. Barrios Rolanía and
G. López Lagomasino Asymptotic behavior of solutions of
general three term recurrence relations 9--37
A. Bermúdez and
D. Gómez and
M. C. Muñiz and
P. Salgado Transient numerical simulation of a
thermoelectrical problem in cylindrical
induction heating furnaces . . . . . . . 39--62
C. de Boor Interpolation from spaces spanned by
monomials . . . . . . . . . . . . . . . 63--70
C. Brezinski and
M. Raydan Cauchy--Schwarz and Kantorovich type
inequalities for scalar and matrix
moment sequences . . . . . . . . . . . . 71--80
A. Cachafeiro and
F. Marcellán and
C. Pérez Orthogonal polynomials with respect to
the sum of an arbitrary measure and a
Bernstein--Szeg\Ho measure . . . . . . . 81--104
M. Calvo and
J. I. Montijano and
L. Rández On explicit multi-revolution
Runge--Kutta schemes . . . . . . . . . . 105--120
J. M. Carnicer and
E. Mainar and
J. M. Peña Shape preservation regions for
six-dimensional spaces . . . . . . . . . 121--136
Eduardo Casas Using piecewise linear functions in the
numerical approximation of semilinear
elliptic control problems . . . . . . . 137--153
Wolfgang zu Castell and
Noemí Laín Fernández and
Yuan Xu Polynomial interpolation on the unit
sphere. II . . . . . . . . . . . . . . . 155--171
Qiuhui Chen and
Charles A. Micchelli and
Yuesheng Xu On the matrix completion problem for
multivariate filter bank construction 173--204
Paolo Costantini and
Francesca Pelosi Shape preserving histogram approximation 205--230
Say Song Goh and
Tim N. T. Goodman and
S. L. Lee Causality properties of refinable
functions and sequences . . . . . . . . 231--250
Manuel de León and
David Martín de Diego and
Aitor Santamaría-Merino Discrete variational integrators and
optimal control theory . . . . . . . . . 251--268
Evgeny Lipovetsky and
Nira Dyn An efficient algorithm for the
computation of the metric average of two
intersecting convex polygons, with
application to morphing . . . . . . . . 269--282
Carla Manni and
Paul Sablonni\`ere Quadratic spline quasi-interpolants on
Powell--Sabin partitions . . . . . . . . 283--304
Marie-Laurence Mazure Pseudoaffinity, de Boor algorithm, and
blossoms . . . . . . . . . . . . . . . . 305--322
Juan Manuel Peña and
Tomas Sauer Efficient polynomial reduction . . . . . 323--336
Louis T. Tebou and
Enrique Zuazua Uniform boundary stabilization of the
finite difference space discretization
of the $1$-d wave equation . . . . . . . 337--365
Qiya Hu A regularized domain decomposition
method with Lagrange multiplier . . . . 367--401
Hans G. Feichtinger and
Wenchang Sun Sufficient conditions for irregular
Gabor frames . . . . . . . . . . . . . . 403--430
V. N. Temlyakov Greedy expansions in Banach spaces . . . 431--449
S. B. Damelin Pointwise bounds of orthogonal
expansions on the real line via weighted
Hilbert transforms . . . . . . . . . . . 451--471
Ben-yu Guo and
Li-Lian Wang Error analysis of spectral method on a
triangle . . . . . . . . . . . . . . . . 473--496
Joel Hass and
Rida T. Farouki and
Chang Yong Han and
Xiaowen Song and
Thomas W. Sederberg Guaranteed consistency of surface
intersections and trimmed surfaces using
a coupled topology resolution and domain
decomposition scheme . . . . . . . . . . 1--26
Stephan Dahlke and
Massimo Fornasier and
Thorsten Raasch Adaptive frame methods for elliptic
operator equations . . . . . . . . . . . 27--63
Peter G. Casazza and
Gitta Kutyniok A generalization of Gram--Schmidt
orthogonalization generating all
Parseval frames . . . . . . . . . . . . 65--78
Ying Guang Shi and
Guoliang Xu Construction of $ \sigma $-orthogonal
polynomials and Gaussian quadrature
formulas . . . . . . . . . . . . . . . . 79--94
Wei Chen and
Qun Lin Asymptotic expansion and extrapolation
for the eigenvalue approximation of the
biharmonic eigenvalue problem by
Ciarlet--Raviart scheme . . . . . . . . 95--106
Francis J. Narcowich and
Xinping Sun and
Joseph D. Ward Approximation power of RBFs and their
associated SBFs: a connection . . . . . 107--124
R. K. Beatson and
H.-Q. Q. Bui Mollification formulas and implicit
smoothing . . . . . . . . . . . . . . . 125--149
Laurent Smoch Spectral behaviour of GMRES applied to
singular systems . . . . . . . . . . . . 151--166
Qun Lin and
Jiaquan Liu Counterexamples to the asymptotic
expansion of interpolation in finite
elements . . . . . . . . . . . . . . . . 167--177
T. Blesgen On the competition of elastic energy and
surface energy in discrete numerical
schemes . . . . . . . . . . . . . . . . 179--194
Morten Nielsen On polynomial symbols for subdivision
schemes . . . . . . . . . . . . . . . . 195--209
V. N. Konovalov and
D. Leviatan Freeknot splines approximation of
Sobolev-type classes of $s$-monotone
functions . . . . . . . . . . . . . . . 211--236
J. Levesley and
D. L. Ragozin Radial basis interpolation on
homogeneous manifolds: convergence rates 237--246
T. Wei and
Y. C. Hon Numerical differentiation by radial
basis functions approximation . . . . . 247--272
Yiming Ying Convergence analysis of online
algorithms . . . . . . . . . . . . . . . 273--291
Shujuan Lü and
Qishao Lu Fourier spectral approximation to
long-time behavior of three dimensional
Ginzburg--Landau type equation . . . . . 293--318
Joe Warren and
Scott Schaefer and
Anil N. Hirani and
Mathieu Desbrun Barycentric coordinates for convex sets 319--338
N. Gnaneshwar A degenerate kernel method for
eigenvalue problems of compact integral
operators . . . . . . . . . . . . . . . 339--354
Peter L. Sòndergaard Gabor frames by sampling and
periodization . . . . . . . . . . . . . 355--373
Pavel Chalmovianský and
Bert Jüttler A non-linear circle-preserving
subdivision scheme . . . . . . . . . . . 375--400
Haitao Li and
Dunyan Yan Characterizations of multi-knot
piecewise linear spectral sequences . . 401--422
R. D. da Cunha and
D. Becker Dynamic block GMRES: an iterative method
for block linear systems . . . . . . . . 423--448
Francesc Ar\`andiga and
Antonio Baeza and
Rosa Donat Vector cell-average multiresolution
based on Hermite interpolation . . . . . 1--22
Rémi Gribonval and
Morten Nielsen Beyond sparsity: recovering structured
representations by $ \ell^1 $
minimization and greedy algorithms . . . 23--41
Volker John and
Songul Kaya Finite element error analysis of a
variational multiscale method for the
Navier--Stokes equations . . . . . . . . 43--61
Shagi-Di Shih and
Shue-Sum Chow Equivalence of $n$-point
Gauss--Chebyshev rule and $ 4 n$-point
midpoint rule in computing the period of
a Lotka--Volterra system . . . . . . . . 63--79
Shipeng Mao and
Shaochun Chen A quadrilateral nonconforming finite
element for linear elasticity problem 81--100
Yang Wang Sigma--delta quantization errors and the
traveling salesman problem . . . . . . . 101--118
V. Domínguez and
M.-L. Rapún and
F.-J. Sayas Dirac delta methods for Helmholtz
transmission problems . . . . . . . . . 119--139
Shidong Li and
Hidemitsu Ogawa Optimal noise suppression: a geometric
nature of pseudoframes for subspaces . . 141--155
Charles A. Micchelli and
Yuesheng Xu and
Haizhang Zhang On translation invariant operators which
preserve the B-spline recurrence . . . . 157--169
Hyeong In Choi and
Sung Woo Choi and
Chang Yong Han and
Tae-wan Kim and
Song-Hwa Kwon and
Hwan Pyo Moon and
Kyeong Hah Roh and
Nam-Sook Wee Two-dimensional offsets and medial axis
transform . . . . . . . . . . . . . . . 171--199
A. Aimi and
M. Diligenti Restriction matrices for numerically
exploiting symmetry . . . . . . . . . . 201--235
Ben-yu Guo and
Jie Shen Irrational approximations and their
applications to partial differential
equations in exterior domains . . . . . 237--267
Xin Li Convergence of the method of fundamental
solutions for Poisson's equation on the
unit sphere . . . . . . . . . . . . . . 269--282
Y. C. Hon and
Robert Schaback Solvability of partial differential
equations by meshless kernel methods . . 283--299
Qiyu Sun Frames in spaces with finite rate of
innovation . . . . . . . . . . . . . . . 301--329
Kerstin Hesse and
Paul Leopardi The Coulomb energy of spherical designs
on $ S^2 $ . . . . . . . . . . . . . . . 331--354
Yang Liu and
Qiya Hu and
Dehao Yu A non-overlapping domain decomposition
for low-frequency time-harmonic
Maxwell's equations in unbounded domains 355--382
Chengjian Zhang and
Stefan Vandewalle Stability criteria for exact and
discrete solutions of neutral
multidelay-integro-differential
equations . . . . . . . . . . . . . . . 383--399
Gerlind Plonka and
Hagen Schumacher and
Manfred Tasche Numerical stability of biorthogonal
wavelet transforms . . . . . . . . . . . 1--25
Tao Feng and
Ningning Yan and
Wenbin Liu Adaptive finite element methods for the
identification of distributed parameters
in elliptic equation . . . . . . . . . . 27--53
Tadej Kotnik The prime-counting function and its
analytic approximations: $ \pi (x) $ and
its approximations . . . . . . . . . . . 55--70
T. Sorokina and
A. J. Worsey A multivariate Powell--Sabin interpolant 71--89
Anonymous Errata . . . . . . . . . . . . . . . . . 91--100
Ole Christensen and
Asghar Rahimi Frame properties of wave packet systems
in $ L^2 (\mathbb {R}^d) $ . . . . . . . 101--111
Guo Chen and
Zhilin Li and
Ping Lin A fast finite difference method for
biharmonic equations on irregular
domains and its application to an
incompressible Stokes flow . . . . . . . 113--133
Hehu Xie Extrapolation of the Nédélec element for
the Maxwell equations by the mixed
finite element method . . . . . . . . . 135--145
Ian H. Sloan and
Alvise Sommariva Approximation on the sphere using radial
basis functions plus polynomials . . . . 147--177
Aliki D. Muradova The spectral method and numerical
continuation algorithm for the von Kármán
problem with postbuckling behaviour of
solutions . . . . . . . . . . . . . . . 179--206
Boris Shekhtman Bivariate ideal projectors and their
perturbations . . . . . . . . . . . . . 207--228
Nicola Guglielmi and
Ernst Hairer Computing breaking points in implicit
delay differential equations . . . . . . 229--247
Helmut Pottmann and
Johannes Wallner The focal geometry of circular and
conical meshes . . . . . . . . . . . . . 249--268
Edward J. Fuselier Improved stability estimates and a
characterization of the native space for
matrix-valued RBFs . . . . . . . . . . . 269--290
Gui-Bo Ye and
Ding-Xuan Zhou Learning and approximation by Gaussians
on Riemannian manifolds . . . . . . . . 291--310
Edward J. Fuselier Erratum: ``Improved stability estimates
and a characterization of the native
space for matrix-valued RBFs''
[\booktitleAdv. Comput. Math. \bf 29
(2008), no. 3, 269--290; MR2438345] . . 311--313
Peter Alfeld and
Larry L. Schumaker Bounds on the dimensions of trivariate
spline spaces . . . . . . . . . . . . . 315--335
Shanghui Jia and
Deli Li and
Shuhua Zhang Asymptotic expansions and Richardson
extrapolation of approximate solutions
for integro-differential equations by
mixed finite element methods . . . . . . 337--356
H. Führ Simultaneous estimates for vector-valued
Gabor frames of Hermite functions . . . 357--373
Huipo Liu and
Ningning Yan Superconvergence analysis of the
nonconforming quadrilateral
linear-constant scheme for Stokes
equations . . . . . . . . . . . . . . . 375--392
Xin Li Rate of convergence of the method of
fundamental solutions and
hyperinterpolation for modified
Helmholtz equations on the unit ball . . 393--413
Yanping Lin and
Kai Zhang and
Jun Zou Studies on some perfectly matched layers
for one-dimensional time-dependent
systems . . . . . . . . . . . . . . . . 1--35
Kerstin Hesse The $s$-energy of spherical designs on $
S^2 $ . . . . . . . . . . . . . . . . . 37--59
J. Monterde A characterization of helical polynomial
curves of any degree . . . . . . . . . . 61--78
Stephan Didas and
Simon Setzer and
Gabriele Steidl Combined $ l_2 $ data and gradient
fitting in conjunction with $ l_1 $
regularization . . . . . . . . . . . . . 79--99
Eugene O'Riordan and
Martin Stynes Numerical analysis of a strongly coupled
system of two singularly perturbed
convection--diffusion problems . . . . . 101--121
Ji\vrí Kosinka and
Bert Jüttler $ C^1 $ Hermite interpolation by
Pythagorean hodograph quintics in
Minkowski space . . . . . . . . . . . . 123--140
Jian Li and
Zhangxin Chen A new stabilized finite volume method
for the stationary Stokes equations . . 141--152
Wenchang Sun and
Xingwei Zhou Characterization of local sampling
sequences for spline subspaces . . . . . 153--175
Rong-Qing Jia Spline wavelets on the interval with
homogeneous boundary conditions . . . . 177--200
Xin Li Approximation of potential integral by
radial bases for solutions of Helmholtz
equation . . . . . . . . . . . . . . . . 201--230
Jakob Lemvig Constructing pairs of dual bandlimited
framelets with desired time localization 231--247
Ben-yu Guo and
Zhong-qing Wang Legendre--Gauss collocation methods for
ordinary differential equations . . . . 249--280
Gabriel N. Gatica and
Antonio Márquez and
Salim Meddahi A new coupling of mixed finite element
and boundary element methods for an
exterior Helmholtz problem in the plane 281--301
Stefan Kunis A note on stability results for
scattered data interpolation on
Euclidean spheres . . . . . . . . . . . 303--314
Gunar Matthies Local projection stabilisation for
higher order discretisations of
convection--diffusion problems on
Shishkin meshes . . . . . . . . . . . . 315--337
Cheng-Feng Lee and
Leevan Ling and
Robert Schaback On convergent numerical algorithms for
unsymmetric collocation . . . . . . . . 339--354
Andrea Caponnetto and
Ernesto De Vito and
Massimiliano Pontil Entropy conditions for $ L_r
$-convergence of empirical processes . . 355--373
Dinh D\~ung Non-linear sampling recovery based on
quasi-interpolant wavelet
representations . . . . . . . . . . . . 375--401
Lixin Shen and
Yuesheng Xu Preface [Mathematical methods for image
processing] . . . . . . . . . . . . . . 1--4
Ernesto Acosta-Reyes and
Akram Aldroubi and
Ilya Krishtal On stability of sampling-reconstruction
models . . . . . . . . . . . . . . . . . 5--34
Johnathan M. Bardsley and
Aaron Luttman Total variation-penalized Poisson
likelihood estimation for ill-posed
problems . . . . . . . . . . . . . . . . 35--59
Erik M. Bollt and
Rick Chartrand and
Selim Esedo\uglu and
Pete Schultz and
Kevin R. Vixie Graduated adaptive image denoising:
local compromise between total variation
and isotropic diffusion . . . . . . . . 61--85
Jian-Feng Cai and
Raymond H. Chan and
Lixin Shen and
Zuowei Shen Convergence analysis of tight framelet
approach for missing data recovery . . . 87--113
Hua-zhu Chen and
Jin-ping Song and
Xue-Cheng Tai A dual algorithm for minimization of the
LLT model . . . . . . . . . . . . . . . 115--130
Charles K. Chui and
Jianzhong Wang PDE models associated with the bilateral
filter . . . . . . . . . . . . . . . . . 131--156
Massimo Fornasier and
Ronny Ramlau and
Gerd Teschke The application of joint sparsity and
total variation minimization algorithms
to a real-life art restoration problem 157--184
Byung-Woo Hong and
Stefano Soatto and
Luminita A. Vese Enforcing local context into shape
statistics . . . . . . . . . . . . . . . 185--213
Qingtang Jiang Hexagonal tight frame filter banks with
idealized high-pass filters . . . . . . 215--236
D. Krishnan and
Quang Vinh Pham and
Andy M. Yip A primal-dual active-set algorithm for
bilaterally constrained total variation
deblurring and piecewise constant
Mumford--Shah segmentation problems . . 237--266
Jian Ren A cryptographic watermarking technique
for multimedia signals . . . . . . . . . 267--281
Juan R. Romero and
Simon K. Alexander and
Shikha Baid and
Saurabh Jain and
Manos Papadakis The geometry and the analytic properties
of isotropic multiresolution analysis 283--328
Jianhong (Jackie) Shen Beamlets are densely embedded in $
H^{-1} $ . . . . . . . . . . . . . . . . 329--348
Xiang-Jun Zhou and
Ding-Xuan Zhou High order Parzen windows and randomized
sampling . . . . . . . . . . . . . . . . 349--368
Petr Knobloch On the choice of the SUPG parameter at
outflow boundary layers . . . . . . . . 369--389
Helmut Pottmann and
Philipp Grohs and
Niloy J. Mitra Laguerre minimal surfaces, isotropic
geometry and linear elasticity . . . . . 391--419
Marty Brenner and
Ying Jiang and
Yuesheng Xu Multiparameter regularization for
Volterra kernel identification via
multiscale collocation methods . . . . . 421--455
Robert Schaback Solving the Laplace equation by meshless
collocation using harmonic kernels . . . 457--470
Art\=uras Dubickas and
Zhiqiang Xu Refinement equations and spline
functions . . . . . . . . . . . . . . . 1--23
Allal Guessab and
Gerhard Schmeisser Construction of positive definite
cubature formulae and approximation of
functions via Voronoi tessellations . . 25--41
J. L. Gracia and
F. J. Lisbona and
E. O'Riordan A coupled system of singularly perturbed
parabolic reaction--diffusion equations 43--61
Valery A. Zheludev and
Amir Z. Averbuch Computation of interpolatory splines via
triadic subdivision . . . . . . . . . . 63--72
Mark Lammers and
Alexander M. Powell and
Özgür Yìlmaz Alternative dual frames for
digital-to-analog conversion in
sigma--delta quantization . . . . . . . 73--102
Christian Rieger and
Barbara Zwicknagl Sampling inequalities for infinitely
smooth functions, with applications to
interpolation and machine learning . . . 103--129
Pedro Massey and
Mariano Ruiz Minimization of convex functionals over
frame operators . . . . . . . . . . . . 131--153
Stefano De Marchi and
Robert Schaback Stability of kernel-based interpolation 155--161
Michael S. Floater and
Ji\vrí Kosinka On the injectivity of Wachspress and
mean value mappings between convex
polygons . . . . . . . . . . . . . . . . 163--174
Hongwei Sun and
Qiang Wu Regularized least square regression with
dependent samples . . . . . . . . . . . 175--189
John J. Benedetto and
Somantika Datta Construction of infinite unimodular
sequences with zero autocorrelation . . 191--207
Bin Han Symmetric orthonormal complex wavelets
with masks of arbitrarily high
linear-phase moments and sum rules . . . 209--237
Vitaly Maiorov Geometric properties of the ridge
function manifold . . . . . . . . . . . 239--253
M. Calvo and
M. P. Laburta and
J. I. Montijano and
L. Rández Approximate preservation of quadratic
first integrals by explicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 255--274
Xin Li Radial basis approximation and its
application to biharmonic equation . . . 275--302
Serge Nicaise and
Julie Valein Quasi exponential decay of a finite
difference space discretization of the
$1$-d wave equation by pointwise
interior stabilization . . . . . . . . . 303--334
Qiyu Sun Local reconstruction for sampling in
shift-invariant spaces . . . . . . . . . 335--352
Ole Christensen and
Say Song Goh Pairs of oblique duals in spaces of
periodic functions . . . . . . . . . . . 353--379
Peter Alfeld and
Larry L. Schumaker and
Tatyana Sorokina Two condensed macro-elements with full
approximation power . . . . . . . . . . 381--391
Ben-yu Guo and
Tian-jun Wang Composite Laguerre--Legendre spectral
method for exterior problems . . . . . . 393--429
Gradimir V. Milovanovi\'c and
Aleksandar S. Cvetkovi\'c Nonstandard Gaussian quadrature formulae
based on operator values . . . . . . . . 431--486
Song Li and
Yali Pan Subdivision schemes with polynomially
decaying masks . . . . . . . . . . . . . 487--507
Xin Li Radial basis approximation for Newtonian
potentials . . . . . . . . . . . . . . . 1--24
Mingxia Li and
Qun Lin and
Shuhua Zhang Extrapolation and superconvergence of
the Steklov eigenvalue problem . . . . . 25--44
Helmut Pottmann and
Philipp Grohs and
Bernhard Blaschitz Edge offset meshes in Laguerre geometry 45--73
Tao Qian and
Rui Wang and
Yuesheng Xu and
Haizhang Zhang Orthonormal bases with nonlinear phases 75--95
Quan-Wu Xiao and
Zhi-Wei Pan Learning from non-identical sampling for
classification . . . . . . . . . . . . . 97--112
Victor Didenko and
Wee Ping Yeo The spectral radius of matrix continuous
refinement operators . . . . . . . . . . 113--127
Junliang Lv and
Yonghai Li $ L^2 $ error estimate of the finite
volume element methods on quadrilateral
meshes . . . . . . . . . . . . . . . . . 129--148
So-Hsiang Chou and
Do Y. Kwak and
K. T. Wee Optimal convergence analysis of an
immersed interface finite element method 149--168
Kendall Atkinson and
David Chien and
Olaf Hansen A spectral method for elliptic
equations: the Dirichlet problem . . . . 169--189
Luis David Garcia-Puente and
Frank Sottile Linear precision for parametric patches 191--214
Yanzhao Cao and
Zheng Chen and
Max Gunzburger Error analysis of finite element
approximations of the stochastic Stokes
equations . . . . . . . . . . . . . . . 215--230
Rong-Qing Jia and
Hanqing Zhao A fast algorithm for the total variation
model of image denoising . . . . . . . . 231--241
Bernhard Mößner On the joint spectral radius of matrices
of order $2$ with equal spectral radius 243--254
Hong Oh Kim and
Rae Young Kim and
Yeon Ju Lee and
Jungho Yoon Quasi-interpolatory refinable functions
and construction of biorthogonal wavelet
systems . . . . . . . . . . . . . . . . 255--283
Lihui Tan and
Lixin Shen and
Lihua Yang Rational orthogonal bases satisfying the
Bedrosian identity . . . . . . . . . . . 285--303
L. Fermo and
M. G. Russo Numerical methods for Fredholm integral
equations with singular right-hand sides 305--330
Rida T. Farouki Quaternion and Hopf map
characterizations for the existence of
rational rotation-minimizing frames on
quintic space curves . . . . . . . . . . 331--348
Horst Alzer Error function inequalities . . . . . . 349--379
Jin Cheng and
Benny Yiu Chung Hon and
Masahiro Yamamoto Preface to the special issue on inverse
problems . . . . . . . . . . . . . . . . 381--383
Thomas Bonesky and
Stephan Dahlke and
Peter Maass and
Thorsten Raasch Adaptive wavelet methods and sparsity
reconstruction for inverse heat
conduction problems . . . . . . . . . . 385--411
Olha Ivanyshyn and
Rainer Kress and
Pedro Serranho Huygens' principle and iterative methods
in inverse obstacle scattering . . . . . 413--429
Huilin Xu and
Jijun Liu Stable numerical differentiation for the
second order derivatives . . . . . . . . 431--447
Chu-Li Fu and
Zhi Qian Numerical pseudodifferential operator
and Fourier regularization . . . . . . . 449--470
Xiaoyi Hu and
Xiang Xu and
Wenbin Chen Numerical method for the inverse heat
transfer problem in composite materials
with Stefan--Boltzmann conditions . . . 471--489
T. Wei and
D. Y. Zhou Convergence analysis for the Cauchy
problem of Laplace's equation by a
regularized method of fundamental
solutions . . . . . . . . . . . . . . . 491--510
Dinh D\~ung Optimal adaptive sampling recovery . . . 1--41
Thorsten Rohwedder and
Reinhold Schneider and
Andreas Zeiser Perturbed preconditioned inverse
iteration for operator eigenvalue
problems with applications to adaptive
wavelet discretization . . . . . . . . . 43--66
Robert Schaback The missing Wendland functions . . . . . 67--81
Q. T. Le Gia and
E. P. Stephan and
T. Tran Solution to the Neumann problem exterior
to a prolate spheroid by radial basis
functions . . . . . . . . . . . . . . . 83--103
Michael Scheuerer An alternative procedure for selecting a
good value for the parameter $c$ in
RBF-interpolation . . . . . . . . . . . 105--126
Qingtang Jiang Biorthogonal wavelets with $4$-fold
axial symmetry for quadrilateral surface
multiresolution processing . . . . . . . 127--165
Y. C. Hon and
Tomoya Takeuchi Discretized Tikhonov regularization by
reproducing kernel Hilbert space for
backward heat conduction problem . . . . 167--183
Deguang Han and
Pengtong Li and
Wai-Shing Tang Frames and their associated $ H^p_F
$-subspaces . . . . . . . . . . . . . . 185--200
Johannes Wallner and
Esfandiar Nava Yazdani and
Andreas Weinmann Convergence and smoothness analysis of
subdivision rules in Riemannian and
symmetric spaces . . . . . . . . . . . . 201--218
Dana \vCerná and
Václav Fin\vek Construction of optimally conditioned
cubic spline wavelets on the interval 219--252
S. Amat and
K. Dadourian and
J. Liandrat Analysis of a class of nonlinear
subdivision schemes and associated
multiresolution transforms . . . . . . . 253--277
Tao Qian and
Yan-Bo Wang Adaptive Fourier series --- a variation
of greedy algorithm . . . . . . . . . . 279--293
Kendall Atkinson and
Olaf Hansen and
David Chien A spectral method for elliptic
equations: the Neumann problem . . . . . 295--317
V. N. Temlyakov and
Mingrui Yang and
Peixin Ye Greedy approximation with regard to
non-greedy bases . . . . . . . . . . . . 319--337
Debasish Pradhan and
Baskar Shalini and
Neela Nataraj and
Amiya K. Pani A Robin-type non-overlapping domain
decomposition procedure for second order
elliptic problems . . . . . . . . . . . 339--368
C. Anitescu and
U. Banerjee Approximation properties of the
generalized finite element method . . . 369--390
Qiao-Fang Lian and
Yun-Zhang Li Gabor frame sets for subspaces . . . . . 391--411
Robert Calderbank and
Peter G. Casazza and
Andreas Heinecke and
Gitta Kutyniok and
Ali Pezeshki Sparse fusion frames: existence and
construction . . . . . . . . . . . . . . 1--31
Naresh M. Chadha and
Natalia Kopteva Maximum norm a posteriori error estimate
for a $3$ d singularly perturbed
semilinear reaction--diffusion problem 33--55
E. O'Riordan and
M. L. Pickett A parameter-uniform numerical method for
a singularly perturbed two parameter
elliptic problem . . . . . . . . . . . . 57--82
Melody L. Massar and
Matthew Fickus and
Erik Bryan and
Douglas T. Petkie and
Andrew J. Terzuoli, Jr. Fast computation of spectral centroids 83--97
Rafael Bru and
Juan Manuel Peña Preface: numerical and applied linear
algebra . . . . . . . . . . . . . . . . 99--102
Johnathan M. Bardsley and
Sarah Knepper and
James Nagy Structured linear algebra problems in
adaptive optics imaging . . . . . . . . 103--117
Peter Benner and
Heike Faßbender On the numerical solution of large-scale
sparse discrete-time Riccati equations 119--147
Michele Benzi and
Eldad Haber and
Lauren Taralli A preconditioning technique for a class
of PDE-constrained optimization problems 149--173
Dario Andrea Bini and
Bruno Iannazzo A note on computing matrix geometric
means . . . . . . . . . . . . . . . . . 175--192
F. Bünger Minimizing and maximizing the Euclidean
norm of the product of two polynomials 193--215
Costanza Conti and
Luca Gemignani and
Lucia Romani From approximating to interpolatory
non-stationary subdivision schemes with
the same generation properties . . . . . 217--241
Xiaoke Cui and
Ken Hayami and
Jun-Feng Yin Greville's method for preconditioning
least squares problems . . . . . . . . . 243--269
Ljiljana Cvetkovi\'c and
Vladimir Kosti\'c and
Rafael Bru and
Francisco Pedroche A simple generalization of Ger\vsgorin's
theorem . . . . . . . . . . . . . . . . 271--280
Vu Hoang Linh and
Volker Mehrmann and
Erik S. Van Vleck $ Q R $ methods and error analysis for
computing Lyapunov and Sacker--Sell
spectral intervals for linear
differential-algebraic equations . . . . 281--322
Maya Neytcheva and
Erik Bängtsson and
Elisabeth Linnér Finite-element based sparse approximate
inverses for block-factorized
preconditioners . . . . . . . . . . . . 323--355
Juan Manuel Peña Diagonal dominance, Schur complements
and some classes of $H$-matrices and
$P$-matrices . . . . . . . . . . . . . . 357--373
H. De Sterck and
K. Miller and
T. Manteuffel and
G. Sanders Top-level acceleration of adaptive
algebraic multilevel methods for
steady-state solution to Markov chains 375--403
Leslie Greengard and
Michael Shelley Editorial . . . . . . . . . . . . . . . 1--1
Deyue Zhang and
Yukun Guo and
Chengchun Gong and
Guan Wang Numerical analysis for the scattering by
obstacles in a homogeneous chiral
environment . . . . . . . . . . . . . . 3--20
Nikolaos D. Atreas On a class of non-uniform average
sampling expansions and partial
reconstruction in subspaces of $ L_2
(\mathbb {R}) $ . . . . . . . . . . . . 21--38
Sara Remogna Bivariate $ C^2 $ cubic spline
quasi-interpolants on uniform
Powell--Sabin triangulations of a
rectangular domain . . . . . . . . . . . 39--65
Hans G. Feichtinger and
José C. Príncipe and
José Luis Romero and
Alexander Singh Alvarado and
Gino Angelo Velasco Approximate reconstruction of
bandlimited functions for the integrate
and fire sampler . . . . . . . . . . . . 67--78
Jin Huang and
Guang Zeng and
Xiaoming He and
Zi-Cai Li Splitting extrapolation algorithm for
first kind boundary integral equations
with singularities by mechanical
quadrature methods . . . . . . . . . . . 79--97
Bin Zou and
Zongben Xu and
Xiangyu Chang Generalization bounds of ERM algorithm
with $V$-geometrically ergodic Markov
chains . . . . . . . . . . . . . . . . . 99--114
Simon Hubbert Closed form representations for a class
of compactly supported radial basis
functions . . . . . . . . . . . . . . . 115--136
Yang Wang and
Qiang Wu Sparse PCA by iterative elimination
algorithm . . . . . . . . . . . . . . . 137--151
Yuesheng Xu and
Hongqi Yang Preface [Special issue: Numerical
methods for ill-posed problems] . . . . 153--156
Hai-Hua Qin and
David Colton The inverse scattering problem for
cavities with impedance boundary
condition . . . . . . . . . . . . . . . 157--174
Yuping Duan and
Xue-Cheng Tai Domain decomposition methods with graph
cuts algorithms for total variation
minimization . . . . . . . . . . . . . . 175--199
Weifu Fang and
Suxing Zeng Recovery of an interface from boundary
measurement in an elliptic differential
equation . . . . . . . . . . . . . . . . 201--220
Toomas Raus and
Uno Hämarik On the quasi-optimal rules for the
choice of the regularization parameter
in case of a noisy operator . . . . . . 221--233
M. Hintermüller and
A. Laurain and
A. A. Novotny Second-order topological expansion for
electrical impedance tomography . . . . 235--265
Fu-Rong Lin and
Fen Liang Application of high order numerical
quadratures to numerical inversion of
the Laplace transform . . . . . . . . . 267--278
Haibing Wang and
Jijun Liu Recovering the Dirichlet-to-Neumann map
in inverse scattering problems using
integral equation methods . . . . . . . 279--297
Xingjun Luo and
Fanchun Li and
Suhua Yang \em A posteriori parameter choice
strategy for fast multiscale methods
solving ill-posed integral equations . . 299--314
M. Thamban Nair Quadrature based collocation methods for
integral equations of the first kind . . 315--329
Robert Plato The regularizing properties of the
composite trapezoidal method for weakly
singular Volterra integral equations of
the first kind . . . . . . . . . . . . . 331--351
Y. F. Wang Preconditioning non-monotone gradient
methods for retrieval of seismic
reflection signals . . . . . . . . . . . 353--376
G. H. Zheng and
T. Wei A new regularization method for a Cauchy
problem of the time fractional diffusion
equation . . . . . . . . . . . . . . . . 377--398
Qiyu Sun and
Michael Unser Left-inverses of fractional Laplacian
and sparse stochastic processes . . . . 399--441
Yidu Yang and
Qun Lin and
Hai Bi and
Qin Li Eigenvalue approximations from below
using Morley elements . . . . . . . . . 443--450
Kerstin Hesse and
Robert S. Womersley Numerical integration with polynomial
exactness over a spherical cap . . . . . 451--483
Guohui Song and
John Riddle and
Gregory E. Fasshauer and
Fred J. Hickernell Multivariate interpolation with
increasingly flat radial basis functions
of finite smoothness . . . . . . . . . . 485--501
Lianhua He and
Lutz Tobiska The two-level local projection
stabilization as an enriched one-level
approach . . . . . . . . . . . . . . . . 503--523
Ole Christensen and
Hong Oh Kim and
Rae Young Kim Gabor windows supported on $ [ - 1, 1] $
and dual windows with small support . . 525--545
Jean-Louis Merrien and
Tomas Sauer From Hermite to stationary subdivision
schemes in one and several variables . . 547--579
Torsten Linß and
Hans-Görg Roos and
Martin Schopf Nitsche-mortaring for singularly
perturbed convection--diffusion problems 581--603
Dinh D\~ung Erratum to: Optimal adaptive sampling
recovery [MR2783300] . . . . . . . . . . 605--606
Yong-gang Yi and
Ben-yu Guo Generalized Jacobi rational spectral
method on the half line . . . . . . . . 1--37
R. Hiptmair and
C. Jerez-Hanckes Multiple traces boundary integral
formulation for Helmholtz transmission
problems . . . . . . . . . . . . . . . . 39--91
Duong Pham and
Thanh Tran and
Simon Crothers An overlapping additive Schwarz
preconditioner for the Laplace--Beltrami
equation using spherical splines . . . . 93--121
Ga\vsper Jakli\vc and
Jernej Kozak and
Marjeta Krajnc and
Vito Vitrih and
Emil \vZagar An approach to geometric interpolation
by Pythagorean-hodograph curves . . . . 123--150
Allal Guessab and
María Moncayo and
Gerhard Schmeisser A class of nonlinear four-point
subdivision schemes . . . . . . . . . . 151--190
Zhongying Chen and
Junfeng Wu and
Yuesheng Xu Higher-order finite volume methods for
elliptic boundary value problems . . . . 191--253
Gustavo Garrigós and
Eugenio Hernández and
Maria de Natividade Democracy functions and optimal
embeddings for approximation spaces . . 255--283
T. Hangelbroek On local RBF approximation . . . . . . . 285--299
Ole Christensen and
Peter Massopust Exponential B-splines and the partition
of unity property . . . . . . . . . . . 301--318
Ming Cui and
Zhangxin Chen and
Richard E. Ewing and
Guan Qin and
Hongsen Chen Reliable and efficient error control for
an adaptive Galerkin-characteristic
method for convection-dominated
diffusion problems . . . . . . . . . . . 319--353
Yiming Ying and
Qiang Wu and
Colin Campbell Learning the coordinate gradients . . . 355--378
Manuel Gräf A unified approach to scattered data
approximation on $ \mathbb {S}^3 $ and $
{\rm SO}(3) $ . . . . . . . . . . . . . 379--392
Junliang Lv and
Yonghai Li $ L^2 $ error estimates and
superconvergence of the finite volume
element methods on quadrilateral meshes 393--416
Andrew Gillette and
Alexander Rand and
Chandrajit Bajaj Error estimates for generalized
barycentric interpolation . . . . . . . 417--439
Yi Shen and
Song Li Restricted $p$-isometry property and its
application for nonconvex compressive
sensing . . . . . . . . . . . . . . . . 441--452
Qinghui Zhang and
Uday Banerjee Numerical integration in Galerkin
meshless methods, applied to elliptic
Neumann problem with non-constant
coefficients . . . . . . . . . . . . . . 453--492
Entao Liu and
Vladimir N. Temlyakov Super greedy type algorithms . . . . . . 493--504
Jameson Cahill and
Shidong Li Dimension invariance of finite frames of
translates and Gabor frames . . . . . . 505--520
Fangfang Dong and
Chunxiao Liu and
De-Xing Kong A fast algorithm for image segmentation
based on fuzzy region competition . . . 521--542
Y. C. Hon and
R. Schaback Solving the $3$D Laplace equation by
meshless collocation via harmonic
kernels . . . . . . . . . . . . . . . . 1--19
Xudong Sun and
Wenchang Sun Inversion formula for the windowed
Fourier transform, II . . . . . . . . . 21--34
María José Cantero and
Arieh Iserles On expansions in orthogonal polynomials 35--61
Rida T. Farouki and
Carlotta Giannelli and
Alessandra Sestini An interpolation scheme for designing
rational rotation-minimizing camera
motions . . . . . . . . . . . . . . . . 63--82
Hongtao Chen and
Qun Lin and
Junming Zhou and
Hong Wang Uniform error estimates for triangular
finite element solutions of
advection--diffusion equations . . . . . 83--100
Zhijian Rong and
Li-Lian Wang and
Xue-Cheng Tai Adaptive wavelet collocation methods for
image segmentation using TV--Allen--Cahn
type models . . . . . . . . . . . . . . 101--131
Sergio Amat and
Jacques Liandrat Nonlinear thresholding of
multiresolution decompositions adapted
to the presence of discontinuities . . . 133--146
L. Ephremidze and
A. Gamkrelidze and
E. Lagvilava An approximation of Daubechies wavelet
matrices by perfect reconstruction
filter banks with rational coefficients 147--158
Sumi Jang and
Byeongseon Jeong and
Hong Oh Kim Compactly supported multiwindow dual
Gabor frames of rational sampling
density . . . . . . . . . . . . . . . . 159--186
Zongmin Wu and
Xingping Sun and
Limin Ma Sampling scattered data with Bernstein
polynomials: stochastic and
deterministic error estimates . . . . . 187--205
Zheng-Chu Guo and
Ding-Xuan Zhou Concentration estimates for learning
with unbounded sampling . . . . . . . . 207--223
Huajie Chen and
Xingao Gong and
Lianhua He and
Zhang Yang and
Aihui Zhou Numerical analysis of finite dimensional
approximations of Kohn--Sham models . . 225--256
Jin Huang and
Zhu Wang and
Rui Zhu Asymptotic error expansions for
hypersingular integrals . . . . . . . . 257--279
Jian Li and
Zhangxin Chen On the semi-discrete stabilized finite
volume method for the transient
Navier--Stokes equations . . . . . . . . 281--320
Nira Dyn and
Maria Skopina Decompositions of trigonometric
polynomials with applications to
multivariate subdivision schemes . . . . 321--349
Gerard Awanou Rectangular mixed elements for
elasticity with weakly imposed symmetry
condition . . . . . . . . . . . . . . . 351--367
Jinsong Leng and
Deguang Han Orthogonal projection decomposition of
matrices and construction of fusion
frames . . . . . . . . . . . . . . . . . 369--381
Tina Bosner and
Mladen Rogina Variable degree polynomial splines are
Chebyshev splines . . . . . . . . . . . 383--400
Charles A. Micchelli and
Lixin Shen and
Yuesheng Xu and
Xueying Zeng Proximity algorithms for the L1/TV image
denoising model . . . . . . . . . . . . 401--426
Jianqiang Liu and
Charles A. Micchelli and
Rui Wang and
Yuesheng Xu Finite rank kernels for multi-task
learning . . . . . . . . . . . . . . . . 427--439
Charles A. Micchelli and
Tao Zhao On discrete $ \ell^1 $-regularization 441--454
Charles A. Micchelli and
Jean M. Morales and
Massimiliano Pontil Regularizers for structured sparsity . . 455--489
Youfa Li and
Shouzhi Yang and
Dehui Yuan Bessel multiwavelet sequences and dual
multiframelets in Sobolev spaces . . . . 491--529
Philipp Grohs Refinable functions for dilation
families . . . . . . . . . . . . . . . . 531--561
Shih-sen Chang and
H. W. Joseph Lee and
Chi Kin Chan A block hybrid method for solving
generalized equilibrium problems and
convex feasibility problem . . . . . . . 563--580
Dale W. Struble The construction of wavelets adapted to
compact domains . . . . . . . . . . . . 581--600
Charles A. Micchelli and
Jianzhong Wang and
Yi Wang On an asymptotic analysis of polynomial
approximation to halfband filters . . . 601--622
Charles A. Micchelli and
Yuesheng Xu and
Bo Yu On computing with the Hilbert spline
transform . . . . . . . . . . . . . . . 623--646
Byeongseon Jeong and
Hong Oh Kim and
Yeon Ju Lee and
Jungho Yoon Exponential polynomial reproducing
property of non-stationary symmetric
subdivision schemes and normalized
exponential B-splines . . . . . . . . . 647--666
B. ng Công V\~u A splitting algorithm for dual monotone
inclusions involving cocoercive
operators . . . . . . . . . . . . . . . 667--681
Kyung Soo Rim and
Beong In Yun Gibbs phenomenon removal by adding
Heaviside functions . . . . . . . . . . 683--699
Jorge Delgado and
Juan Manuel Peña On the evaluation of rational triangular
Bézier surfaces and the optimal stability
of the basis . . . . . . . . . . . . . . 701--721
Dao-Hong Xiang Conditional quantiles with varying
Gaussians . . . . . . . . . . . . . . . 723--735
Doug Cochran and
Anne Gelb and
Yang Wang Edge detection from truncated Fourier
data using spectral mollifiers . . . . . 737--762
Yun-Zhang Li and
Qiao-Fang Lian Super Gabor frames on discrete periodic
sets . . . . . . . . . . . . . . . . . . 763--799
El Hadji S. Diop and
Radjesvarane Alexandre and
Valérie Perrier A PDE based and interpolation-free
framework for modeling the sifting
process in a continuous domain . . . . . 801--835
Yunhai Xiao and
Soon-Yi Wu and
Dong-Hui Li Splitting and linearizing augmented
Lagrangian algorithm for subspace
recovery from corrupted observations . . 837--858
Chuan-Long Wang and
Guo-Yan Meng and
Xue-Rong Yong Modified parallel multisplitting
iterative methods for non-Hermitian
positive definite systems . . . . . . . 859--872
John Paul Ward $ L^p $ error estimates for
approximation by Sobolev splines and
Wendland functions on $ \mathbb {R}^d $ 873--889
Gregory E. Fasshauer and
Qi Ye Reproducing kernels of Sobolev spaces
via a green kernel approach with
differential operators and boundary
operators . . . . . . . . . . . . . . . 891--921
Michael J. Johnson The role of inner summaries in the fast
evaluation of thin-plate splines . . . . 1--25
Paul Leopardi Discrepancy, separation and Riesz energy
of finite point sets on the unit sphere 27--43
Weicai Ye and
Yongdong Zhang A fast solver for integral equations
with convolution-type kernel . . . . . . 45--67
Nupur Gupta and
Neela Nataraj \em A posteriori error estimates for an
optimal control problem of laser surface
hardening of steel . . . . . . . . . . . 69--99
Mourad E. H. Ismail and
Plamen Simeonov Asymptotics of generalized derangements 101--127
Mira Bozzini and
Milvia Rossini and
Robert Schaback Generalized Whittle--Matérn and
polyharmonic kernels . . . . . . . . . . 129--141
J. Li and
O. Gonzalez Convergence and conditioning of a Nyström
method for Stokes flow in exterior
three-dimensional domains . . . . . . . 143--174
Jonathan A. Sherratt Numerical continuation of boundaries in
parameter space between stable and
unstable periodic travelling wave
(wavetrain) solutions of partial
differential equations . . . . . . . . . 175--192
M. Floater and
C. Beccari and
T. Cashman and
L. Romani A smoothness criterion for
monotonicity-preserving subdivision . . 193--204
Roberto Garrappa and
Marina Popolizio Evaluation of generalized Mittag-Leffler
functions on the real line . . . . . . . 205--225
Kanghui Guo and
Demetrio Labate Optimal recovery of $3$D X-ray
tomographic data via shearlet
decomposition . . . . . . . . . . . . . 227--255
Chuan-Long Wang and
Guo-Yan Meng and
Yan-Hong Bai Practical convergent splittings and
acceleration methods for non-Hermitian
positive definite linear systems . . . . 257--271
Ana C. Conceição and
Viktor G. Kravchenko and
José C. Pereira Computing some classes of Cauchy type
singular integrals with \em Mathematica
software . . . . . . . . . . . . . . . . 273--288
Francesc Ar\`andiga and
Antonio Baeza and
Dionisio F. Yáñez A new class of non-linear monotone
Hermite interpolants . . . . . . . . . . 289--309
Matthias Dehmer and
Martin Grabner and
Abbe Mowshowitz and
Frank Emmert-Streib An efficient heuristic approach to
detecting graph isomorphism based on
combinations of highly discriminating
invariants . . . . . . . . . . . . . . . 311--325
Alexander Rand and
Andrew Gillette and
Chandrajit Bajaj Interpolation error estimates for mean
value coordinates over convex polygons 327--347
José L. López and
Nico M. Temme New series expansions of the Gauss
hypergeometric function . . . . . . . . 349--365
J. M. Melenk and
C. Xenophontos and
L. Oberbroeckling Analytic regularity for a singularly
perturbed system of reaction--diffusion
equations with multiple scales . . . . . 367--394
Costanza Conti and
Luca Gemignani and
Lucia Romani A constructive algebraic strategy for
interpolatory subdivision schemes
induced by bivariate box splines . . . . 395--424
Davide Baroli and
Alfio Quarteroni and
Ricardo Ruiz-Baier Convergence of a stabilized
discontinuous Galerkin method for
incompressible nonlinear elasticity . . 425--443
Hongqiang Zhu and
Jianxian Qiu An $h$-adaptive RKDG method with
troubled-cell indicator for
two-dimensional hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 445--463
Tristan A. Hearn and
Lothar Reichel Extensions of the Justen--Ramlau blind
deconvolution method . . . . . . . . . . 465--491
Zheng-Chu Guo and
Lei Shi Learning with coefficient-based
regularization and $ \ell^1 $-penalty 493--510
Kareem T. Elgindy and
Kate A. Smith-Miles On the optimization of Gegenbauer
operational matrix of integration . . . 511--524
Carmen Escribano and
Antonio Giraldo and
M. Asunción Sastre and
Emilio Torrano The Hessenberg matrix and the Riemann
mapping function . . . . . . . . . . . . 525--545
V. Domínguez and
M. Ganesh Interpolation and cubature
approximations and analysis for a class
of wideband integrals on the sphere . . 547--584
Matthew Fickus and
Dustin G. Mixon and
Miriam J. Poteet and
Nate Strawn Constructing all self-adjoint matrices
with prescribed spectrum and diagonal 585--609
Junmin Xiao and
Qiya Hu Multilevel correction for collocation
solutions of Volterra integral equations
with proportional delays . . . . . . . . 611--644
Armin Lechleiter and
Dinh-Liem Nguyen A trigonometric Galerkin method for
volume integral equations arising in TM
grating scattering . . . . . . . . . . . 1--25
Lindsay N. Smith and
Matthew Fickus Determining angular frequency from
images of rotating objects via a
generalized Fast Fourier Transform . . . 27--47
Karlheinz Gröchenig and
Elmar Pauwels Uniqueness and reconstruction theorems
for pseudodifferential operators with a
bandlimited Kohn--Nirenberg symbol . . . 49--63
Jaroslav Haslinger and
Radek Ku\vcera and
Julien Riton and
Taoufik Sassi A domain decomposition method for
two-body contact problems with Tresca
friction . . . . . . . . . . . . . . . . 65--90
Boris I. Kvasov Monotone and convex interpolation by
weighted quadratic splines . . . . . . . 91--116
Larry L. Schumaker and
Hendrik Speleers Convexity preserving $ C^0 $ splines . . 117--135
Lijing Zhao and
Weihua Deng Jacobian-predictor--corrector approach
for fractional differential equations 137--165
Cristian Arteaga and
Isabel Marrero Direct form seminorms arising in the
theory of interpolation by Hankel
translates of a basis function . . . . . 167--183
A. Chernih and
I. H. Sloan and
R. S. Womersley Wendland functions with increasing
smoothness converge to a Gaussian . . . 185--200
Qiya Hu and
Long Yuan A Newton-penalty method for a simplified
liquid crystal model . . . . . . . . . . 201--244
S. Hao and
A. H. Barnett and
P. G. Martinsson and
P. Young High-order accurate methods for Nyström
discretization of integral equations on
smooth curves in the plane . . . . . . . 245--272
Hans G. Feichtinger and
Darian M. Onchis and
Christoph Wiesmeyr Construction of approximate dual wavelet
frames . . . . . . . . . . . . . . . . . 273--282
S. Sommer and
F. Lauze and
M. Nielsen Optimization over geodesics for exact
principal geodesic analysis . . . . . . 283--313
Jakob Lemvig and
Christopher Miller and
Kasso A. Okoudjou Prime tight frames . . . . . . . . . . . 315--334
Peter G. Casazza and
Jesse Peterson Weighted fusion frame construction via
spectral tetris . . . . . . . . . . . . 335--351
Quoc Thong Le Gia and
William McLean Solving the heat equation on the unit
sphere via Laplace transforms and radial
basis functions . . . . . . . . . . . . 353--375
Ben-Yu Guo and
Zhong-Qing Wang A collocation method for generalized
nonlinear Klein--Gordon equation . . . . 377--398
Tie Zhang Superconvergence of finite volume
element method for elliptic problems . . 399--413
Qiyu Sun Localized nonlinear functional equations
and two sampling problems in signal
processing . . . . . . . . . . . . . . . 415--458
Carlotta Giannelli and
Bert Jüttler and
Hendrik Speleers Strongly stable bases for adaptively
refined multilevel spline spaces . . . . 459--490
Eleanor W. Jenkins and
Volker John and
Alexander Linke and
Leo G. Rebholz On the parameter choice in grad--div
stabilization for the Stokes equations 491--516
Lei Shi and
Xiaolin Huang and
Zheng Tian and
Johan A. K. Suykens Quantile regression with $ \ell_1
$-regularization and Gaussian kernels 517--551
Raffaele D'Ambrosio and
Giuseppe De Martino and
Beatrice Paternoster Numerical integration of Hamiltonian
problems by G-symplectic methods . . . . 553--575
Mary Catherine A. Kropinski and
Nilima Nigam Fast integral equation methods for the
Laplace--Beltrami equation on the sphere 577--596
Peter Maass and
Chen Sagiv and
Hans-Georg Stark and
Bruno Torresani Signal representation, uncertainty
principles and localization measures . . 597--607
R. Levie and
H.-G. Stark and
F. Lieb and
N. Sochen Adjoint translation, adjoint observable
and uncertainty principles . . . . . . . 609--627
Benjamin Ricaud and
Bruno Torrésani A survey of uncertainty principles and
some signal processing applications . . 629--650
Hans G. Feichtinger and
Anna Grybos and
Darian M. Onchis Approximate dual Gabor atoms via the
adjoint lattice method . . . . . . . . . 651--665
Jan Hendrik Kobarg and
Peter Maass and
Janina Oetjen and
Oren Tropp and
Eyal Hirsch and
Chen Sagiv and
Mohammad Golbabaee and
Pierre Vandergheynst Numerical experiments with MALDI Imaging
data . . . . . . . . . . . . . . . . . . 667--682
Benjamin Ricaud and
Guillaume Stempfel and
Bruno Torrésani and
Christoph Wiesmeyr and
Hél\`ene Lachambre and
Darian Onchis An optimally concentrated Gabor
transform for localized time-frequency
components . . . . . . . . . . . . . . . 683--702
Darian M. Onchis Optimized frames and multi-dimensional
challenges in time-frequency analysis 703--709
Galina C. García and
Takéo Takahashi Numerical observers with vanishing
viscosity for the $1$ d wave equation 711--745
Gang Li and
Jianxian Qiu Hybrid WENO schemes with different
indicators on curvilinear grids . . . . 747--772
Adrianna Gillman and
Per-Gunnar Martinsson An $ O(N) $ algorithm for constructing
the solution operator to $2$D elliptic
boundary value problems in the absence
of body loads . . . . . . . . . . . . . 773--796
Jikun Zhao and
Shaochun Chen Robust a posteriori error estimates for
conforming discretizations of a
singularly perturbed reaction--diffusion
problem on anisotropic meshes . . . . . 797--818
Karol Mikula and
Jozef Urbán A new tangentially stabilized $3$D curve
evolution algorithm and its application
in virtual colonoscopy . . . . . . . . . 819--837
Lyle Noakes Minimum $ L^\infty $ accelerations in
Riemannian manifolds . . . . . . . . . . 839--863
Mohammad Khorsand Zak and
Faezeh Toutounian Nested splitting CG-like iterative
method for solving the continuous
Sylvester equation and preconditioning 865--880
Da Xu The long time error analysis in the
second order difference type method of
an evolutionary integral equation with
completely monotonic kernel . . . . . . 881--922
Q. T. Le Gia and
H. Wendland Data compression on the sphere using
multiscale radial basis function
approximation . . . . . . . . . . . . . 923--943
Michele Antonelli and
Carolina Vittoria Beccari and
Giulio Casciola A general framework for the construction
of piecewise-polynomial local
interpolants of minimum degree . . . . . 945--976
Lucia Romani and
Laura Saini and
Gudrun Albrecht Algebraic--trigonometric
Pythagorean-hodograph curves and their
use for Hermite interpolation . . . . . 977--1010
Pedro G. Massey and
Mariano A. Ruiz and
Demetrio Stojanoff Optimal frame completions . . . . . . . 1011--1042
Saumya Bajpai and
Neela Nataraj and
Amiya K. Pani On a two-grid finite element scheme for
the equations of motion arising in
Kelvin--Voigt model . . . . . . . . . . 1043--1071
M. Lyon and
J. Picard The Fourier approximation of smooth but
non-periodic functions from unevenly
spaced data . . . . . . . . . . . . . . 1073--1092
Rodolfo Araya and
Abner H. Poza and
Frédéric Valentin An adaptive residual local projection
finite element method for the
Navier--Stokes equations . . . . . . . . 1093--1119
Víctor Domínguez and
Sijiang L. Lu and
Francisco-Javier Sayas A Nyström method for the two dimensional
Helmholtz hypersingular equation . . . . 1121--1157
Roberto Bilato and
Omar Maj and
Marco Brambilla An algorithm for fast Hilbert transform
of real functions . . . . . . . . . . . 1159--1168
Bengt Fornberg and
Jordan M. Martel On spherical harmonics based numerical
quadrature over the surface of a sphere 1169--1184
Silas Alben Bending of bilayers with general initial
shapes . . . . . . . . . . . . . . . . . 1--22
Edward Fuselier and
Grady B. Wright Order-preserving derivative
approximation with periodic radial basis
functions . . . . . . . . . . . . . . . 23--53
Vladimir Kosti\'c On general principles of eigenvalue
localizations via diagonal dominance . . 55--75
Alexey Chernov and
Duong Pham Sparse tensor product spectral Galerkin
BEM for elliptic problems with random
input data on a spheroid . . . . . . . . 77--104
D. S. Almeida Júnior and
A. J. A. Ramos and
M. L. Santos Observability inequality for the
finite-difference semi-discretization of
the $1$-d coupled wave equations . . . . 105--130
Zhiyuan Sun and
Yuling Jiao and
Bangti Jin and
Xiliang Lu Numerical identification of a sparse
Robin coefficient . . . . . . . . . . . 131--148
Tong Zhang and
Damazio Pedro and
JinYun Yuan A large time stepping
viscosity-splitting finite element
method for the viscoelastic flow problem 149--190
Kamen Ivanov and
Pencho Petrushev Fast memory efficient evaluation of
spherical polynomials at scattered
points . . . . . . . . . . . . . . . . . 191--230
M. Calvo and
M. P. Laburta and
J. I. Montijano and
L. Rández Runge--Kutta projection methods with low
dispersion and dissipation errors . . . 231--251
Pawe\l Pilarczyk and
Pedro Real Computation of cubical homology,
cohomology, and (co)homological
operations via chain contraction . . . . 253--275
Mira Bozzini and
Milvia Rossini and
Robert Schaback and
Elena Volont\`e Radial kernels via scale derivatives . . 277--291
Monika Dörfler and
Ewa Matusiak Nonstationary Gabor frames ---
approximately dual frames and
reconstruction errors . . . . . . . . . 293--316
Bernhard G. Bodmann and
Nathaniel Hammen Stable phase retrieval with
low-redundancy frames . . . . . . . . . 317--331
Robert Schaback A computational tool for comparing all
linear PDE solvers: error-optimal
methods are meshless . . . . . . . . . . 333--355
Jeff Ledford On the convergence of regular families
of cardinal interpolators . . . . . . . 357--371
J. M. Carnicer and
C. Godés A Newton formula for generalized
Berzolari--Radon sets . . . . . . . . . 373--386
Qia Li and
Lixin Shen and
Yuesheng Xu and
Na Zhang Multi-step fixed-point proximity
algorithms for solving a class of
optimization problems arising from image
processing . . . . . . . . . . . . . . . 387--422
Yiqiu Dong and
Torsten Görner and
Stefan Kunis An algorithm for total variation
regularized photoacoustic imaging . . . 423--438
Ali W. K. Sangawi Straight slits map and its inverse of
bounded multiply connected regions . . . 439--455
Alfio Borz\`\i and
Sergio González Andrade Second-order approximation and fast
multigrid solution of parabolic bilinear
optimization problems . . . . . . . . . 457--488
Ji\vrí Kosinka and
Michael Barto\vn Convergence of Wachspress coordinates:
from polygons to curved domains . . . . 489--505
Maria Charina and
Geir Dahl Subdivision schemes, network flows and
linear optimization . . . . . . . . . . 507--528
Shidong Jiang and
Leslie Greengard and
Shaobo Wang Efficient sum-of-exponentials
approximations for the heat kernel and
their applications . . . . . . . . . . . 529--551
Douglas N. Arnold and
Gerard Awanou and
Weifeng Qiu Mixed finite elements for elasticity on
quadrilateral meshes . . . . . . . . . . 553--572
Shuhuang Xiang and
Guo He and
Yeol Je Cho On error bounds of
Filon--Clenshaw--Curtis quadrature for
highly oscillatory integrals . . . . . . 573--597
Gustavo Buscaglia and
Vitoriano Ruas Approximation of the multi-dimensional
Stokes system with embedded pressure
discontinuities . . . . . . . . . . . . 599--634
Robert D. Guy and
Bobby Philip and
Boyce E. Griffith Geometric multigrid for an implicit-time
immersed boundary method . . . . . . . . 635--662
Ratikanta Behera and
Mani Mehra and
N. K.-R. Kevlahan Multilevel approximation of the gradient
operator on an adaptive spherical
geodesic grid . . . . . . . . . . . . . 663--689
Johan Helsing and
Anders Holst Variants of an explicit kernel-split
panel-based Nyström discretization scheme
for Helmholtz boundary value problems 691--708
Mariantonia Cotronei and
Daniele Ghisi and
Milvia Rossini and
Tomas Sauer An anisotropic directional
multiresolution and subdivision scheme 709--726
V. V. Zozulya Regularization of divergent integrals: a
comparison of the classical and
generalized-functions approaches . . . . 727--780
Tie Zhang and
Lixin Tang A stabilized finite volume method for
Stokes equations using the lowest order
$ P_1 $--$ P_0 $ element pair . . . . . 781--798
Hehu Xie and
Xiaobo Yin Acceleration of stabilized finite
element discretizations for the Stokes
eigenvalue problem . . . . . . . . . . . 799--812
Jernej Kozak and
Marjeta Krajnc and
Vito Vitrih Parametric curves with Pythagorean
binormal . . . . . . . . . . . . . . . . 813--832
Mohammad Asadzadeh and
Piotr Kowalczyk Convergence analysis for backward-Euler
and mixed discontinuous Galerkin methods
for the Vlasov--Poisson system . . . . . 833--852
Wei Zhu Simulation of liquid crystal elastomers
using Chebyshev spectral method with a
new preconditioner . . . . . . . . . . . 853--879
Pierluigi Amodio and
Luigi Brugnano and
Felice Iavernaro Energy-conserving methods for
Hamiltonian boundary value problems and
applications in astrodynamics . . . . . 881--905
Gerard Awanou Pseudo transient continuation and time
marching methods for Monge--Amp\`ere
type equations . . . . . . . . . . . . . 907--935
Haibiao Zheng and
Lina Song and
Yanren Hou and
Yuhong Zhang The partition of unity parallel finite
element algorithm . . . . . . . . . . . 937--951
V. V. Zozulya RETRACTED ARTICLE: Regularization of
Divergent Integrals: An Approach Using
Generalized Functions . . . . . . . . . 953--953
Peter Benner and
Mario Ohlberger and
Anthony T. Patera and
Gianluigi Rozza and
Danny C. Sorensen and
Karsten Urban Model order reduction of parameterized
systems (MoRePaS): Preface to the
special issue of advances in
computational mathematics . . . . . . . 955--960
Fabien Casenave and
Alexandre Ern and
Tony Leli\`evre A nonintrusive reduced basis method
applied to aeroacoustic simulations . . 961--986
Magnus Redeker and
Bernard Haasdonk A POD--EIM reduced two-scale model for
crystal growth . . . . . . . . . . . . . 987--1013
Alexander Sommer and
Ortwin Farle and
Romanus Dyczij-Edlinger A fast certified parametric
near-field-to-far-field transformation
technique for electrically large antenna
arrays . . . . . . . . . . . . . . . . . 1015--1034
Volker Schauer and
Christian Linder The reduced basis method in all-electron
calculations with finite elements . . . 1035--1047
Michael Fischer and
Peter Eberhard Application of parametric model
reduction with matrix interpolation for
simulation of moving loads in elastic
multibody systems . . . . . . . . . . . 1049--1072
Alessandro Alla and
Stefan Volkwein Asymptotic stability of POD based model
predictive control for a semilinear
parabolic PDE . . . . . . . . . . . . . 1073--1102
Jean-Frédéric Gerbeau and
Damiano Lombardi and
Elisa Schenone Reduced order model in cardiac
electrophysiology with approximated Lax
pairs . . . . . . . . . . . . . . . . . 1103--1130
Immanuel Martini and
Gianluigi Rozza and
Bernard Haasdonk Reduced basis approximation and
a-posteriori error estimation for the
coupled Stokes--Darcy system . . . . . . 1131--1157
Bernhard Wieland Implicit partitioning methods for
unknown parameter sets: in the context
of the reduced basis method . . . . . . 1159--1186
David Amsallem and
Matthew J. Zahr and
Kyle Washabaugh Fast local reduced basis updates for the
efficient reduction of nonlinear systems
with hyper-reduction . . . . . . . . . . 1187--1230
Peter Benner and
Sara Grundel and
Nils Hornung Parametric model order reduction with a
small $ \mathcal {H}_2 $-error using
radial basis functions . . . . . . . . . 1231--1253
Andrea Manzoni and
Federico Negri Heuristic strategies for the
approximation of stability factors in
quadratically nonlinear parametrized
PDEs . . . . . . . . . . . . . . . . . . 1255--1288
Omer San and
Traian Iliescu A stabilized proper orthogonal
decomposition reduced-order model for
large scale quasigeostrophic ocean
circulation . . . . . . . . . . . . . . 1289--1319
Nguyen Thanh Son and
Tatjana Stykel Model order reduction of parameterized
circuit equations based on interpolation 1321--1342
Christian Himpe and
Mario Ohlberger Data-driven combined state and parameter
reduction for inverse problems . . . . . 1343--1364
Benjamin Peherstorfer and
Pablo Gómez and
Hans-Joachim Bungartz Reduced models for sparse grid
discretizations of the multi-asset
Black--Scholes equation . . . . . . . . 1365--1389
Sina Ober-Blöbaum and
Nils Saake Construction and analysis of higher
order Galerkin variational integrators 1391--1422
Niall Madden and
Stephen Russell A multiscale sparse grid finite element
method for a two-dimensional singularly
perturbed reaction--diffusion problem 1423--1450
Ronald W. Butler and
Andrew T. A. Wood Laplace approximation of Lauricella
functions $ F_A $ and $ F_D $ . . . . . 1451--1473
Xiaogang Xiong and
Ryo Kikuuwe and
Motoji Yamamoto Implicit Euler simulation of
one-dimensional Burridge--Knopoff model
of earthquakes with set-valued friction
laws . . . . . . . . . . . . . . . . . . 1475--1493
Pengzhan Huang and
Xinlong Feng and
Yinnian He An efficient two-step algorithm for the
incompressible flow problem . . . . . . 1495--1513
Mathieu Collowald and
Annie Cuyt and
Evelyne Hubert and
Wen-Shin Lee and
Oliver Salazar Celis Numerical reconstruction of convex
polytopes from directional moments . . . 1515--1535
Lasse Hjuler Christiansen Pairs of dual Gabor frames generated by
functions of Hilbert--Schmidt type . . . 1537--1554
Christian Kruschel and
Dirk A. Lorenz Computing and analyzing recoverable
supports for sparse reconstruction . . . 1555--1580
T. Witkowski and
S. Ling and
S. Praetorius and
A. Voigt Software concepts and numerical
algorithms for a scalable adaptive
parallel finite element method . . . . . 1581--1613
N. Chaulet and
H. Haddar Electromagnetic inverse shape problem
for coated obstacles . . . . . . . . . . 1615--1641
Ping-Fan Dai A note on diagonal dominance, Schur
complements and some classes of
$H$-matrices and $P$-matrices . . . . . 1--4
Ioan R. Ionescu and
Oana Lupa\cscu Modeling shallow avalanche onset over
complex basal topography . . . . . . . . 5--26
Hongjin He and
Deren Han A distributed Douglas--Rachford
splitting method for multi-block convex
minimization problems . . . . . . . . . 27--53
Dirk Nuyens and
Gowri Suryanarayana and
Markus Weimar Rank-$1$ lattice rules for multivariate
integration in spaces of
permutation-invariant functions: error
bounds and tractability . . . . . . . . 55--84
Arnaud Münch and
Diego A. Souza A mixed formulation for the direct
approximation of $ L^2 $-weighted
controls for the linear heat equation 85--125
Hartmut Führ Vanishing moment conditions for wavelet
atoms in higher dimensions . . . . . . . 127--153
Junping Wang and
Xiu Ye A weak Galerkin finite element method
for the Stokes equations . . . . . . . . 155--174
Zydrunas Gimbutas and
Leslie Greengard A fast multipole method for the
evaluation of elastostatic fields in a
half-space with zero normal stress . . . 175--198
Rida T. Farouki and
Carlotta Giannelli and
Alessandra Sestini Local modification of
Pythagorean-hodograph quintic spline
curves using the B-spline form . . . . . 199--225
Anna-Karin Tornberg The Ewald sums for singly, doubly and
triply periodic electrostatic systems 227--248
Zuzana Krivá and
Angela Handlovi\vcová and
Karol Mikula Adaptive cell-centered finite volume
method for diffusion equations on a
consistent quadtree grid . . . . . . . . 249--277
Kin Tat Ho and
Lok Ming Lui QCMC: quasi-conformal parameterizations
for multiply-connected domains . . . . . 279--312
Håkon Marthinsen and
Brynjulf Owren Geometric integration of non-autonomous
linear Hamiltonian problems . . . . . . 313--332
P. Grohs and
S. Hosseini $ \varepsilon $-subgradient algorithms
for locally Lipschitz functions on
Riemannian manifolds . . . . . . . . . . 333--360
Jeonghun J. Lee Towards a unified analysis of mixed
methods for elasticity with weakly
symmetric stress . . . . . . . . . . . . 361--376
Kassem Mustapha and
Maher Nour and
Bernardo Cockburn Convergence and superconvergence
analyses of HDG methods for time
fractional diffusion problems . . . . . 377--393
Mira Birem and
Christian Klein Multidomain spectral method for
Schrödinger equations . . . . . . . . . . 395--423
Lijing Zhao and
Weihua Deng High order finite difference methods on
non-uniform meshes for space fractional
operators . . . . . . . . . . . . . . . 425--468
M. C. Kropinski and
N. Nigam and
B. Quaife Integral equation methods for the
Yukawa--Beltrami equation on the sphere 469--488
Ole Christensen and
Hong Oh Kim and
Rae Young Kim On extensions of wavelet systems to dual
pairs of frames . . . . . . . . . . . . 489--503
Gang Wu and
Lu Zhang and
Ting-ting Xu A framework of the harmonic Arnoldi
method for evaluating $ \varphi
$-functions with applications to
exponential integrators . . . . . . . . 505--541
Can Li and
Weihua Deng High order schemes for the tempered
fractional diffusion equations . . . . . 543--572
Casey L. Richardson and
Laurent Younes Metamorphosis of images in reproducing
kernel Hilbert spaces . . . . . . . . . 573--603
Odysseas Kosmas and
Sigrid Leyendecker Analysis of higher order phase fitted
variational integrators . . . . . . . . 605--619
Richard A. Kublik and
David L. Chopp A locally adaptive time stepping
algorithm for the solution to reaction
diffusion equations on branched
structures . . . . . . . . . . . . . . . 621--649
Gerlind Plonka and
Yi Zheng Relation between total variation and
persistence distance and its application
in signal processing . . . . . . . . . . 651--674
Sebastián Domínguez and
Gabriel N. Gatica and
Antonio Márquez and
Salim Meddahi A primal-mixed formulation for the
strong coupling of quasi-Newtonian
fluids with porous media . . . . . . . . 675--720
Alice Z.-Y. Chan and
Martin S. Copenhaver and
Sivaram K. Narayan and
Logan Stokols and
Allison Theobold On structural decompositions of finite
frames . . . . . . . . . . . . . . . . . 721--756
A. Bermúdez and
R. Muñoz-Sola and
C. Reales and
R. Rodríguez and
P. Salgado A transient eddy current problem on a
moving domain. Numerical analysis . . . 757--789
Alfredo Deaño and
Daan Huybrechs and
Peter Opsomer Construction and implementation of
asymptotic expansions for Jacobi-type
orthogonal polynomials . . . . . . . . . 791--822
Christian Apprich and
Klaus Höllig and
Jörg Hörner and
Ulrich Reif Collocation with WEB-splines . . . . . . 823--842
V. Domínguez and
M. Ganesh Sobolev estimates for constructive
uniform-grid FFT interpolatory
approximations of spherical functions 843--887
Franziska Nestler Automated parameter tuning based on RMS
errors for nonequispaced FFTs . . . . . 889--919
Shaohong Du and
Runchang Lin and
Zhimin Zhang \em A posteriori error analysis of
multipoint flux mixed finite element
methods for interface problems . . . . . 921--945
M. R. Turner and
T. J. Bridges Time-dependent conformal mapping of
doubly-connected regions . . . . . . . . 947--972
G. Santin and
R. Schaback Approximation of eigenfunctions in
kernel-based spaces . . . . . . . . . . 973--993
Shi Zhi and
Yan-hua Xu and
Jun-ping Zhao Haar wavelets method for solving Poisson
equations with jump conditions in
irregular domain . . . . . . . . . . . . 995--1012
Anonymous Erratum to: \booktitleAdvances in
Computational Mathematics, volume 41
December 2015, issue 6, pages 1391--1641
[MR3428571; MR3428572; MR3428573;
MR3428574; MR3428575; MR3428576;
MR3428577; MR3428578; MR3428579;
MR3428580] . . . . . . . . . . . . . . . 1013--1014
Can Huang and
Martin Stynes A spectral collocation method for a
weakly singular Volterra integral
equation of the second kind . . . . . . 1015--1030
Gouranga Mallik and
Neela Nataraj Conforming finite element methods for
the von Kármán equations . . . . . . . . . 1031--1054
Costanza Conti and
Mariantonia Cotronei and
Tomas Sauer Factorization of Hermite subdivision
operators preserving exponentials and
polynomials . . . . . . . . . . . . . . 1055--1079
Hongqiang Zhu and
Zhen Gao An $h$-adaptive RKDG method with
troubled-cell indicator for
one-dimensional detonation wave
simulations . . . . . . . . . . . . . . 1081--1102
Zhongming Teng and
Yunkai Zhou and
Ren-Cang Li A block Chebyshev--Davidson method for
linear response eigenvalue problems . . 1103--1128
Jean B. Lasserre Lebesgue decomposition in action via
semidefinite relaxations . . . . . . . . 1129--1148
Keaton Hamm and
Jeff Ledford Cardinal interpolation with general
multiquadrics . . . . . . . . . . . . . 1149--1186
A. Chernih and
Q. T. Le Gia Multiscale methods with compactly
supported radial basis functions for the
Stokes problem on bounded domains . . . 1187--1208
Chuanlong Wang and
Chao Li and
Jin Wang A modified augmented Lagrange multiplier
algorithm for Toeplitz matrix completion 1209--1224
Xiaoming Zheng and
John Lowengrub An interface-fitted adaptive mesh method
for elliptic problems and its
application in free interface problems
with surface tension . . . . . . . . . . 1225--1257
Chao Zeng and
Meng Wu and
Fang Deng and
Jiansong Deng Dimensions of spline spaces over
non-rectangular T-meshes . . . . . . . . 1259--1286
Dai-Qiang Chen and
Yan Zhou and
Li-Juan Song Fixed point algorithm based on adapted
metric method for convex minimization
problem with application to image
deblurring . . . . . . . . . . . . . . . 1287--1310
Wentao Cai and
Jian Li and
Zhangxin Chen Unconditional convergence and optimal
error estimates of the Euler
semi-implicit scheme for a generalized
nonlinear Schrödinger equation . . . . . 1311--1330
Xudong Yao Convergence analysis of a minimax method
for finding multiple solutions of
hemivariational inequality in Hilbert
space . . . . . . . . . . . . . . . . . 1331--1362
Xiaochuan Tian and
Qiang Du and
Max Gunzburger Asymptotically compatible schemes for
the approximation of fractional
Laplacian and related nonlocal diffusion
problems on bounded domains . . . . . . 1363--1380
Hui Zhang and
Ming Yan and
Wotao Yin One condition for solution uniqueness
and robustness of both $ \ell_1
$-synthesis and $ \ell_1 $-analysis
minimizations . . . . . . . . . . . . . 1381--1399
David S. Blom and
Philipp Birken and
Hester Bijl and
Fleur Kessels and
Andreas Meister and
Alexander H. van Zuijlen A comparison of Rosenbrock and ESDIRK
methods combined with iterative solvers
for unsteady compressible flows . . . . 1401--1426
Francesca Pitolli Bell-shaped nonstationary refinable
ripplets . . . . . . . . . . . . . . . . 1427--1451
Jun Hu and
Zhongci Shi and
Xueqin Yang Superconvergence of three dimensional
Morley elements on cuboid meshes for
biharmonic equations . . . . . . . . . . 1453--1471
Xin Liu and
Jian Li and
Zhangxin Chen A weak Galerkin finite element method
for the Oseen equations . . . . . . . . 1473--1490
Wolfgang Carl and
Johannes Wallner Variational Laplacians for semidiscrete
surfaces . . . . . . . . . . . . . . . . 1491--1509
Rida T. Farouki and
Graziano Gentili and
Carlotta Giannelli and
Alessandra Sestini and
Caterina Stoppato A comprehensive characterization of the
set of polynomial curves with rational
rotation-minimizing frames . . . . . . . 1--24
David Brander and
Jens Gravesen and
Toke Bjerge Nòrbjerg Approximation by planar elastic curves 25--43
Christiaan C. Stolk An improved sweeping domain
decomposition preconditioner for the
Helmholtz equation . . . . . . . . . . . 45--76
Natalia Kopteva and
Martin Stynes Analysis and numerical solution of a
Riemann--Liouville fractional derivative
two-point boundary value problem . . . . 77--99
Christian Gerhards and
Sergiy Pereverzyev, Jr. and
Pavlo Tkachenko A parameter choice strategy for the
inversion of multiple observations . . . 101--112
François Bachoc and
Martin Ehler and
Manuel Gräf Optimal configurations of lines and a
statistical application . . . . . . . . 113--126
Zheng-Chu Guo and
Yiming Ying and
Ding-Xuan Zhou Online regularized learning with
pairwise loss functions . . . . . . . . 127--150
Avram Sidi Minimal polynomial and reduced rank
extrapolation methods are related . . . 151--170
Michal Kordy and
Elena Cherkaev and
Philip Wannamaker Null space correction and adaptive model
order reduction in multi-frequency
Maxwell's problem . . . . . . . . . . . 171--193
Ludvig af Klinteberg and
Anna-Karin Tornberg Error estimation for quadrature by
expansion in layer potential evaluation 195--234
Hendrik Speleers Hierarchical spline spaces:
quasi-interpolants and local
approximation estimates . . . . . . . . 235--255
Mazen Ali and
Kristina Steih and
Karsten Urban Reduced basis methods with adaptive
snapshot computations . . . . . . . . . 257--294
Kanghui Guo and
Demetrio Labate Microlocal analysis of edge flatness
through directional multiscale
representations . . . . . . . . . . . . 295--318
Tongke Wang and
Zhiyue Zhang and
Zhifang Liu The practical Gauss type rules for
Hadamard finite-part integrals using
Puiseux expansions . . . . . . . . . . . 319--350
Adrianna Gillman An integral equation technique for
scattering problems with mixed boundary
conditions . . . . . . . . . . . . . . . 351--364
Rishi Kumar Pandey and
Hradyesh Kumar Mishra Homotopy analysis Sumudu transform
method for time-fractional third order
dispersive partial differential equation 365--383
Zhendong Gu Piecewise spectral collocation method
for system of Volterra integral
equations . . . . . . . . . . . . . . . 385--409
Vladimir Kazeev and
Ivan Oseledets and
Maxim Rakhuba and
Christoph Schwab QTT-finite-element approximation for
multiscale problems I: model problems in
one dimension . . . . . . . . . . . . . 411--442
Ole Christensen and
Marzieh Hasannasab and
Jakob Lemvig Explicit constructions and properties of
generalized shift-invariant systems in $
L^2 (\mathbb {R}) $ . . . . . . . . . . 443--472
Young Ok Choi and
Johannes Tausch The Galerkin boundary element method for
transient Stokes flow . . . . . . . . . 473--493
Sergey Voronin and
Per-Gunnar Martinsson Efficient algorithms for CUR and
interpolative matrix decompositions . . 495--516
Jintao Cui and
Thirupathi Gudi Finite element approximation of a free
boundary plasma problem . . . . . . . . 517--535
Erich Novak and
Mario Ullrich and
Henryk Wo\'zniakowski and
Shun Zhang Complexity of oscillatory integrals on
the real line . . . . . . . . . . . . . 537--553
Sui Tang System identification in dynamical
sampling . . . . . . . . . . . . . . . . 555--580
Q. T. Le Gia and
I. H. Sloan and
H. Wendland Zooming from global to local: a
multiscale RBF approach . . . . . . . . 581--606
Vahagn Bayramyan and
Hakop Hakopian On a new property of $n$-poised and $ G
C_n$ sets . . . . . . . . . . . . . . . 607--626
A. Aimi and
M. Diligenti and
C. Guardasoni Energetic BEM--FEM coupling for the
numerical solution of the damped wave
equation . . . . . . . . . . . . . . . . 627--651
Z. Dadi Dynamics of two-cell systems with
discrete delays . . . . . . . . . . . . 653--676
Adrian Holho\cs and
Daniela Ro\csca Area preserving maps and volume
preserving maps between a class of
polyhedrons and a sphere . . . . . . . . 677--697
Zhijiang Zhang and
Weihua Deng Numerical approaches to the functional
distribution of anomalous diffusion with
both traps and flights . . . . . . . . . 699--732
Amir Averbuch and
Pekka Neittaanmäki and
Etay Shefi and
Valery Zheludev Local cubic splines on non-uniform grids
and real-time computation of wavelet
transform . . . . . . . . . . . . . . . 733--758
Jin Zhang and
Xiaowei Liu Supercloseness of the SDFEM on Shishkin
triangular meshes for problems with
exponential layers . . . . . . . . . . . 759--775
Stanis\law Lewanowicz and
Pawe\l Keller and
Pawe\l Wo\'zny Bézier form of dual bivariate Bernstein
polynomials . . . . . . . . . . . . . . 777--793
Waixiang Cao and
Xu Zhang and
Zhimin Zhang Superconvergence of immersed finite
element methods for interface problems 795--821
Yao Rong and
Yanren Hou and
Yuhong Zhang Numerical analysis of a second order
algorithm for simplified
magnetohydrodynamic flows . . . . . . . 823--848
Rosa Donat and
Sergio López-Ureña and
Maria Santágueda A family of non-oscillatory $6$-point
interpolatory subdivision schemes . . . 849--883
A. F. Hegarty and
E. O'Riordan Parameter-uniform numerical method for
singularly perturbed
convection--diffusion problem on a
circular domain . . . . . . . . . . . . 885--909
Dianming Hou and
Chuanju Xu A fractional spectral method with
applications to some singular problems 911--944
L. Iapichino and
S. Ulbrich and
S. Volkwein Multiobjective PDE-constrained
optimization using the reduced-basis
method . . . . . . . . . . . . . . . . . 945--972
Yanzhao Cao and
Ying Jiang and
Yuesheng Xu A fast discrete spectral method for
stochastic partial differential
equations . . . . . . . . . . . . . . . 973--998
Natalia Kopteva and
Torsten Linß Improved maximum-norm a posteriori error
estimates for linear and semilinear
parabolic equations . . . . . . . . . . 999--1022
Zhanjing Tao and
Jianxian Qiu Dimension-by-dimension moment-based
central Hermite WENO schemes for
directly solving Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 1023--1058
Caroline Moosmüller Hermite subdivision on manifolds via
parallel transport . . . . . . . . . . . 1059--1074
X. Claeys and
R. Hiptmair and
E. Spindler Second kind boundary integral equation
for multi-subdomain diffusion problems 1075--1101
J. A. Ezquerro and
M. A. Hernández-Verón A study of the influence of center
conditions on the domain of parameters
of Newton's method by using recurrence
relations . . . . . . . . . . . . . . . 1103--1129
Ghulam Mustafa and
Rabia Hameed Families of univariate and bivariate
subdivision schemes originated from
quartic B-spline . . . . . . . . . . . . 1131--1161
Theresa Wenger and
Sina Ober-Blöbaum and
Sigrid Leyendecker Construction and analysis of higher
order variational integrators for
dynamical systems with holonomic
constraints . . . . . . . . . . . . . . 1163--1195
Dao Huy Cuong and
Mai Duc Thanh A well-balanced van Leer-type numerical
scheme for shallow water equations with
variable topography . . . . . . . . . . 1197--1225
Fu-Jun Liu and
Zhong-Qing Wang and
Hui-Yuan Li A fully diagonalized spectral method
using generalized Laguerre functions on
the half line . . . . . . . . . . . . . 1227--1259
William Paulsen and
Samuel Cowgill Solving $ F(z + 1) = b^{F(z)} $ in the
complex plane . . . . . . . . . . . . . 1261--1282
Pietro Dell'Acqua A note on Taylor boundary conditions for
accurate image restoration . . . . . . . 1283--1304
Lin Mu and
Xiu Ye A simple finite element method for the
Stokes equations . . . . . . . . . . . . 1305--1324
Robert Stephen Jones Computing ultra-precise eigenvalues of
the Laplacian within polygons . . . . . 1325--1354
Wenwu Gao and
Zongmin Wu Constructing radial kernels with
higher-order generalized Strang--Fix
conditions . . . . . . . . . . . . . . . 1355--1375
Paolo Ghelardoni and
Cecilia Magherini A matrix method for fractional
Sturm--Liouville problems on bounded
domain . . . . . . . . . . . . . . . . . 1377--1401
Roberto Iacono and
John P. Boyd New approximations to the principal
real-valued branch of the Lambert
$W$-function . . . . . . . . . . . . . . 1403--1436
Lina Wang and
Lijun Yi An h--p version of the continuous
Petrov--Galerkin method for Volterra
delay-integro-differential equations . . 1437--1467
Tahar Z. Boulmezaoud and
Keltoum Kaliche and
Nabil Kerdid Inverted finite elements for div--curl
systems in the whole space . . . . . . . 1469--1489
Axel Flinth Sparse blind deconvolution and demixing
through $ \ell_1, 2 $-minimization . . . 1--21
Thomas Führer and
Norbert Heuer A wirebasket preconditioner for the
mortar boundary element method . . . . . 23--49
Pedro G. Massey and
Noelia B. Rios and
Demetrio Stojanoff Frame completions with prescribed norms:
local minimizers and applications . . . 51--86
Gary Pui-Tung Choi and
Lok Ming Lui A linear formulation for disk conformal
parameterization of simply-connected
open surfaces . . . . . . . . . . . . . 87--114
Mingchao Cai and
Peiqi Huang and
Mo Mu Some multilevel decoupled algorithms for
a mixed Navier--Stokes/Darcy model . . . 115--145
Chang-Yeol Jung and
Thien Binh Nguyen Fine structures for the solutions of the
two-dimensional Riemann problems by
high-order WENO schemes . . . . . . . . 147--174
Liqun Wang and
Songming Hou and
Liwei Shi A numerical method for solving
three-dimensional elliptic interface
problems with triple junction points . . 175--193
Javier de Frutos and
Bosco García-Archilla and
Volker John and
Julia Novo Analysis of the grad--div stabilization
for the time-dependent Navier--Stokes
equations with inf--sup stable finite
elements . . . . . . . . . . . . . . . . 195--225
Tatyana Sorokina Bernstein--Bézier techniques for
divergence of polynomial spline vector
fields in $ \mathbb {R}^n $ . . . . . . 227--244
Qiya Hu and
Long Yuan A plane wave method combined with local
spectral elements for nonhomogeneous
Helmholtz equation and time-harmonic
Maxwell equations . . . . . . . . . . . 245--275
José L. López Convergent expansions of the Bessel
functions in terms of elementary
functions . . . . . . . . . . . . . . . 277--294
Aziz Takhirov and
Alexander Lozovskiy Computationally efficient modular
nonlinear filter stabilization for high
Reynolds number flows . . . . . . . . . 295--325
Alina Chertock and
Yekaterina Epshteyn and
Hengrui Hu and
Alexander Kurganov High-order positivity-preserving hybrid
finite-volume-finite-difference methods
for chemotaxis systems . . . . . . . . . 327--350
Pedro R. S. Antunes Reducing the ill conditioning in the
method of fundamental solutions . . . . 351--365
Haitao Leng and
Yanping Chen Convergence and quasi-optimality of an
adaptive finite element method for
optimal control problems with integral
control constraint . . . . . . . . . . . 367--394
Alberto Gil C. P. Ramos Uniform and high-order discretization
schemes for Sturm--Liouville problems
via Fer streamers . . . . . . . . . . . 395--421
Chao Zeng and
Jiansong Deng On the dimension of trivariate spline
spaces with the highest order smoothness
on 3D T-meshes . . . . . . . . . . . . . 423--451
Roman Chapko and
Drossos Gintides and
Leonidas Mindrinos The inverse scattering problem by an
elastic inclusion . . . . . . . . . . . 453--476
Tingchun Wang and
Xiaofei Zhao and
Jiaping Jiang Unconditional and optimal H$^2$ -error
estimates of two linear and conservative
finite difference schemes for the
Klein--Gordon-Schrödinger equation in
high dimensions . . . . . . . . . . . . 477--503
Guo-Dong Zhang and
Jinjin Yang and
Chunjia Bi Second order unconditionally convergent
and energy stable linearized scheme for
MHD equations . . . . . . . . . . . . . 505--540
Sudeep Kundu and
Amiya Kumar Pani Finite element approximation to global
stabilization of the Burgers' equation
by Neumann boundary feedback control law 541--570
Stéphane Clain and
Raphaël Loub\`ere and
Gaspar J. Machado \em A posteriori stabilized sixth-order
finite volume scheme for one-dimensional
steady-state hyperbolic equations . . . 571--607
Stéphane Clain and
Raphaël Loub\`ere and
Gaspar J. Machado Erratum to: \em A posteriori stabilized
sixth-order finite volume scheme for
one-dimensional steady-state hyperbolic
equations . . . . . . . . . . . . . . . 609--609
Martin Halla and
Lothar Nannen Two scale Hardy space infinite elements
for scalar waveguide problems . . . . . 611--643
Woinshet D. Mergia and
Kailash C. Patidar Fractional-step $ \theta $ -method for
solving singularly perturbed problem in
ecology . . . . . . . . . . . . . . . . 645--671
M. Esmaeilbeigi and
O. Chatrabgoun and
M. Shafa Scattered data fitting of Hermite type
by a weighted meshless method . . . . . 673--691
Linghua Chen and
Espen Robstad Jakobsen and
Arvid Naess On numerical density approximations of
solutions of SDEs with unbounded
coefficients . . . . . . . . . . . . . . 693--721
Tao Sun and
Penghang Yin and
Lizhi Cheng and
Hao Jiang Alternating direction method of
multipliers with difference of convex
functions . . . . . . . . . . . . . . . 723--744
Zhiping Mao and
Jie Shen Spectral element method with geometric
mesh for two-sided fractional
differential equations . . . . . . . . . 745--771
Min Tao and
Xiaoming Yuan Convergence analysis of the direct
extension of ADMM for multiple-block
separable convex minimization . . . . . 773--813
Sòlve Eidnes and
Brynjulf Owren and
Torbjòrn Ringholm Adaptive energy preserving methods for
partial differential equations . . . . . 815--839
Guillermo Navas-Palencia High-precision computation of the
confluent hypergeometric functions via
Franklin--Friedman expansion . . . . . . 841--859
Hong Lu and
Peter W. Bates and
Wenping Chen and
Mingji Zhang The spectral collocation method for
efficiently solving PDEs with fractional
Laplacian . . . . . . . . . . . . . . . 861--878
Fusheng Lv and
Wenchang Sun Real phase retrieval from unordered
partial frame coefficients . . . . . . . 879--896
Qi Hong and
Jiming Wu Coercivity results of a modified $ Q_1
$-finite volume element scheme for
anisotropic diffusion problems . . . . . 897--922
Huadong Gao and
Weiwei Sun Analysis of linearized Galerkin-mixed
FEMs for the time-dependent
Ginzburg--Landau equations of
superconductivity . . . . . . . . . . . 923--949
Bo Wang and
Li-Lian Wang and
Ziqing Xie Accurate calculation of spherical and
vector spherical harmonic expansions via
spectral element grids . . . . . . . . . 951--985
Annie Cuyt and
Wen-shin Lee Multivariate exponential analysis from
the minimal number of samples . . . . . 987--1002
Mira Bozzini and
Christophe Rabut and
Milvia Rossini Decomposition and reconstruction of
multidimensional signals by radial
functions with tension parameters . . . 1003--1040
Wenqing Wang and
Xuehai Huang and
Kai Tang and
Ruiyue Zhou Morley--Wang--Xu element methods with
penalty for a fourth order elliptic
singular perturbation problem . . . . . 1041--1061
Ali Kashefi and
Anne E. Staples A finite-element coarse-grid projection
method for incompressible flow
simulations . . . . . . . . . . . . . . 1063--1090
Hongjin He and
Liusheng Hou and
Hong-Kun Xu A partially isochronous splitting
algorithm for three-block separable
convex minimization problems . . . . . . 1091--1115
Hongjin He and
Liusheng Hou and
Hong-Kun Xu Correction to: A partially isochronous
splitting algorithm for three-block
separable convex minimization problems 1117--1118
Doghonay Arjmand and
Mikhail Poluektov and
Gunilla Kreiss Atomistic-continuum multiscale modelling
of magnetisation dynamics at non-zero
temperature . . . . . . . . . . . . . . 1119--1151
Biswarup Biswas and
Ritesh Kumar Dubey Low dissipative entropy stable schemes
using third order WENO and TVD
reconstructions . . . . . . . . . . . . 1153--1181
Emil Solsbæk Ottosen and
Morten Nielsen Nonlinear approximation with
nonstationary Gabor frames . . . . . . . 1183--1203
Keaton Hamm and
Jeff Ledford Cardinal interpolation with general
multiquadrics: convergence rates . . . . 1205--1233
Na Liu and
Wei Jiang A numerical method for solving the time
fractional Schrödinger equation . . . . . 1235--1248
Alan E. Lindsay and
Bryan Quaife and
Laura Wendelberger A boundary integral equation method for
mode elimination and vibration
confinement in thin plates with clamped
points . . . . . . . . . . . . . . . . . 1249--1273
Denis Khleborodov Fast elliptic curve point multiplication
based on binary and binary non-adjacent
scalar form methods . . . . . . . . . . 1275--1293
Xiaojing Dong and
Yinnian He and
Hongbo Wei and
Yuhong Zhang Local and parallel finite element
algorithm based on the partition of
unity method for the incompressible MHD
flow . . . . . . . . . . . . . . . . . . 1295--1319
F. Lara A note on ``Reguralizers for structured
sparsity'' . . . . . . . . . . . . . . . 1321--1323
Boles\law Kacewicz Adaptive mesh selection asymptotically
guarantees a prescribed local error for
systems of initial value problems . . . 1325--1344
Harald Garcke and
Michael Hinze and
Christian Kahle and
Kei Fong Lam A phase field approach to shape
optimization in Navier--Stokes flow with
integral state constraints . . . . . . . 1345--1383
Michael O'Neil Second-kind integral equations for the
Laplace--Beltrami problem on surfaces in
three dimensions . . . . . . . . . . . . 1385--1409
Ana Alonso Rodríguez and
Enrico Bertolazzi and
Riccardo Ghiloni and
Ruben Specogna Efficient construction of 2-chains
representing a basis of $ H_2 (\overline
\Omega, \partial \Omega; \mathbb {Z}) $ 1411--1440
T. M. Dunster and
A. Gil and
J. Segura Uniform asymptotic expansions for
Laguerre polynomials and related
confluent hypergeometric functions . . . 1441--1474
R. Hiptmair and
L. Scarabosio and
C. Schillings and
Ch. Schwab Large deformation shape uncertainty
quantification in acoustic scattering 1475--1518
Ole Christensen and
Augustus J. E. M. Janssen and
Hong Oh Kim and
Rae Young Kim Approximately dual Gabor frames and
almost perfect reconstruction based on a
class of window functions . . . . . . . 1519--1535
Nisha Sharma and
Amiya K. Pani and
Kapil K. Sharma Expanded mixed FEM with lowest order RT
elements for nonlinear and nonlocal
parabolic problems . . . . . . . . . . . 1537--1571
Yuezheng Gong and
Jia Zhao and
Qi Wang Linear second order in time energy
stable schemes for hydrodynamic models
of binary mixtures based on a spatially
pseudospectral approximation . . . . . . 1573--1600
Urs Vögeli and
Khadijeh Nedaiasl and
Stefan A. Sauter A fully discrete Galerkin method for
Abel-type integral equations . . . . . . 1601--1626
Rida T. Farouki and
Hwan Pyo Moon Rational frames of minimal twist along
space curves under specified boundary
conditions . . . . . . . . . . . . . . . 1627--1650
Huamin Li and
Yuval Kluger and
Mark Tygert Randomized algorithms for distributed
computation of principal component
analysis and singular value
decomposition . . . . . . . . . . . . . 1651--1672
Erchuan Zhang and
Lyle Noakes Left Lie reduction for curves in
homogeneous spaces . . . . . . . . . . . 1673--1686
Peter Benner and
Heike Faßbender and
Michael Hinze and
Tatjana Stykel and
Ralf Zimmermann Model reduction of complex dynamical
systems . . . . . . . . . . . . . . . . 1687--1691
Anna Bertram and
Ralf Zimmermann Theoretical investigations of the new
Cokriging method for variable-fidelity
surrogate modeling . . . . . . . . . . . 1693--1716
Omer San and
Romit Maulik Neural network closures for nonlinear
model order reduction . . . . . . . . . 1717--1750
Peter Benner and
Christian Himpe and
Tim Mitchell On reduced input-output dynamic mode
decomposition . . . . . . . . . . . . . 1751--1768
Bülent Karasözen and
Murat Uzunca Energy preserving model order reduction
of the nonlinear Schrödinger equation . . 1769--1796
Zoran Tomljanovi\'c and
Christopher Beattie and
Serkan Gugercin Damping optimization of parameter
dependent mechanical systems by rational
interpolation . . . . . . . . . . . . . 1797--1820
Patrick Kürschner Balanced truncation model order
reduction in limited time intervals for
large systems . . . . . . . . . . . . . 1821--1844
Ion Victor Gosea and
Mihaly Petreczky and
Athanasios C. Antoulas and
Christophe Fiter Balanced truncation for linear switched
systems . . . . . . . . . . . . . . . . 1845--1886
Andrea Carracedo Rodriguez and
Serkan Gugercin and
Jeff Borggaard Interpolatory model reduction of
parameterized bilinear dynamical systems 1887--1916
Xiaodong Cheng and
Jacquelien M. A. Scherpen Clustering approach to model order
reduction of power networks with
distributed controllers . . . . . . . . 1917--1939
Carmen Gräßle and
Michael Hinze POD reduced-order modeling for evolution
equations utilizing arbitrary finite
element discretizations . . . . . . . . 1941--1978
Odysseas Kosmas and
Sigrid Leyendecker Variational integrators for orbital
problems using frequency estimation . . 1--21
Philip Greengard and
Vladimir Rokhlin An algorithm for the evaluation of the
incomplete gamma function . . . . . . . 23--49
Xin Liu and
Zhangxin Chen The nonconforming virtual element method
for the Navier--Stokes equations . . . . 51--74
Lucia Romani and
Francesca Montagner Algebraic--Trigonometric
Pythagorean--Hodograph space curves . . 75--98
Mariano Franco-de-Leon and
John Lowengrub Boundary integral methods for dispersive
equations, Airy flow and the modified
Korteweg de Vries equation . . . . . . . 99--135
Shinya Miyajima Verified computation of the matrix
exponential . . . . . . . . . . . . . . 137--152
Cédric Gérot Elementary factorisation of Box spline
subdivision . . . . . . . . . . . . . . 153--171
James Bremer An algorithm for the rapid numerical
evaluation of Bessel functions of real
orders and arguments . . . . . . . . . . 173--211
Jichun Li and
Meng Chen and
Min Chen Developing and analyzing fourth-order
difference methods for the metamaterial
Maxwell's equations . . . . . . . . . . 213--241
William Paulsen Tetration for complex bases . . . . . . 243--267
Xudong Yao A Ljusternik--Schnirelman minimax
algorithm for finding equality
constrained saddle points and its
application for solving eigen problems:
part I. Algorithm and global convergence 269--310
Hakop Hakopian and
Vahagn Vardanyan On a correction of a property of $ G C_n
$ sets . . . . . . . . . . . . . . . . . 311--325
Radu Ioan Bot and
Ernö Robert Csetnek ADMM for monotone operators: convergence
analysis and rates . . . . . . . . . . . 327--359
Scott Congreve and
Paul Houston and
Ilaria Perugia Adaptive refinement for hp-Version
Trefftz discontinuous Galerkin methods
for the homogeneous Helmholtz problem 361--393
Maolin Che and
Yimin Wei Randomized algorithms for the
approximations of Tucker and the tensor
train decompositions . . . . . . . . . . 395--428
Yuanyuan Zhang and
Min Yang and
Chuanjun Chen The hybrid Wilson finite volume method
for elliptic problems on quadrilateral
meshes . . . . . . . . . . . . . . . . . 429--452
Burak Aksoylu and
Fatih Celiker and
Orsan Kilicer Nonlocal operators with local boundary
conditions in higher dimensions . . . . 453--492
Burak Aksoylu and
Fatih Celiker and
Orsan Kilicer Correction to: Nonlocal operators with
local boundary conditions in higher
dimensions . . . . . . . . . . . . . . . 493--493
Roland Herzog and
John W. Pearson and
Martin Stoll Fast iterative solvers for an optimal
transport problem . . . . . . . . . . . 495--517
Sina Bittens and
Ruochuan Zhang and
Mark A. Iwen A deterministic sparse FFT for functions
with structured Fourier sparsity . . . . 519--561
Ya-Ru Fan and
Alessandro Buccini and
Marco Donatelli and
Ting-Zhu Huang A non-convex regularization approach for
compressive sensing . . . . . . . . . . 563--588
Chao Zeng and
Chunlin Wu On the discontinuity of images recovered
by noncovex nonsmooth regularized
isotropic models with box constraints 589--610
Chuanjun Chen and
Kang Li and
Yanping Chen and
Yunqing Huang Two-grid finite element methods combined
with Crank--Nicolson scheme for
nonlinear Sobolev equations . . . . . . 611--630
Marek Rydel New integer-order approximations of
discrete-time non-commensurate
fractional-order systems using the cross
Gramian . . . . . . . . . . . . . . . . 631--653
Jesús M. Carnicer and
Carmen Godés Extensions of planar GC sets and syzygy
matrices . . . . . . . . . . . . . . . . 655--673
Thomas Fink Higher order analysis of the geometry of
singularities using the Taylorlet
transform . . . . . . . . . . . . . . . 675--705
Can Huang and
Li-Lian Wang An accurate spectral method for the
transverse magnetic mode of Maxwell
equations in Cole--Cole dispersive media 707--734
Andrey Belonosov and
Maxim Shishlenin and
Dmitriy Klyuchinskiy A comparative analysis of numerical
methods of solving the continuation
problem for 1D parabolic equation with
the data given on the part of the
boundary . . . . . . . . . . . . . . . . 735--755
Zhaonan Dong On the exponent of exponential
convergence of $p$-version FEM spaces 757--785
Xiao Wang and
Wenpeng Shang and
Xiaofan Li and
Jinqiao Duan and
Yanghong Huang Fokker--Planck equation driven by
asymmetric Lévy motion . . . . . . . . . 787--811
Xiao Tang and
Aiguo Xiao Asymptotically optimal approximation of
some stochastic integrals and its
applications to the strong second-order
methods . . . . . . . . . . . . . . . . 813--846
Jun Wang and
Leslie Greengard Hybrid asymptotic/numerical methods for
the evaluation of layer heat potentials
in two dimensions . . . . . . . . . . . 847--867
Parag Bobade and
Suprotim Majumdar and
Savio Pereira and
Andrew J. Kurdila and
John B. Ferris Adaptive estimation for nonlinear
systems using reproducing kernel Hilbert
spaces . . . . . . . . . . . . . . . . . 869--896
Hui Liang and
Martin Stynes Collocation methods for general
Riemann--Liouville two-point boundary
value problems . . . . . . . . . . . . . 897--928
Xianyi Zeng Linear hybrid-variable methods for
advection equations . . . . . . . . . . 929--980
Daniele C. R. Gomes and
Mauro A. Rincon and
Maria Darci G. da Silva and
Gladson O. Antunes Theoretical and computational analysis
of a nonlinear Schrödinger problem with
moving boundary . . . . . . . . . . . . 981--1004
Mariam Al-Maskari and
Samir Karaa Galerkin FEM for a time-fractional
Oldroyd-B fluid problem . . . . . . . . 1005--1029
Nikolaos Rekatsinas and
Rob Stevenson An optimal adaptive tensor product
wavelet solver of a space-time FOSLS
formulation of parabolic evolution
problems . . . . . . . . . . . . . . . . 1031--1066
Martin Ambroz and
Martin Bala\vzovjech and
Matej Medl'a and
Karol Mikula Numerical modeling of wildland surface
fire propagation by evolving surface
curves . . . . . . . . . . . . . . . . . 1067--1103
Xiangyun Meng and
Martin Stynes Convergence analysis of the Adini
element on a Shishkin mesh for a
singularly perturbed fourth-order
problem in two dimensions . . . . . . . 1105--1128
Qiya Hu and
Shaoliang Hu A substructuring preconditioner with
vertex-related interface solvers for
elliptic-type equations in three
dimensions . . . . . . . . . . . . . . . 1129--1161
Xuanxuan Zhou and
Tingchun Wang and
Luming Zhang Two numerical methods for the
Zakharov--Rubenchik equations . . . . . 1163--1184
Francesco Mezzadri and
Emanuele Galligani A nonlinearity lagging method for
non-steady diffusion equations with
nonlinear convection terms . . . . . . . 1185--1220
Alessandro Alla and
Michael Hinze and
Philip Kolvenbach and
Oliver Lass and
Stefan Ulbrich A certified model reduction approach for
robust parameter optimization with PDE
constraints . . . . . . . . . . . . . . 1221--1250
Alessandro Alla and
J. Nathan Kutz Randomized model order reduction . . . . 1251--1271
Li Cheng and
Xinlong Zhou A new computable sufficient condition
for the convergence of subdivision
schemes with nonnegative masks . . . . . 1273--1290
Wee Chin Tan and
Viet Ha Hoang High dimensional finite elements for
time-space multiscale parabolic
equations . . . . . . . . . . . . . . . 1291--1327
Gino Hrkac and
Carl-Martin Pfeiler and
Dirk Praetorius and
Michele Ruggeri and
Antonio Segatti and
Bernhard Stiftner Convergent tangent plane integrators for
the simulation of chiral magnetic
skyrmion dynamics . . . . . . . . . . . 1329--1368
Zhifang Liu and
Chunlin Wu and
Yanan Zhao A new globally convergent algorithm for
non-Lipschitz $ l_p$--$ l_q$
minimization . . . . . . . . . . . . . . 1369--1399
Cédric Josz and
Jean Bernard Lasserre and
Bernard Mourrain Sparse polynomial interpolation: sparse
recovery, super-resolution, or Prony? 1401--1437
Jean B. Lasserre and
Edouard Pauwels The empirical Christoffel function with
applications in data analysis . . . . . 1439--1468
Ansgar Jüngel and
Oliver Leingang Convergence of an implicit Euler
Galerkin scheme for
Poisson--Maxwell--Stefan systems . . . . 1469--1498
I. T. Dimov and
S. Maire A new unbiased stochastic algorithm for
solving linear Fredholm equations of the
second kind . . . . . . . . . . . . . . 1499--1519
Fang Li and
Michael K. Ng Image colorization by using graph
bi-Laplacian . . . . . . . . . . . . . . 1521--1549
Qi Li and
Liquan Mei and
Xiaofeng Yang and
Yibao Li Efficient numerical schemes with
unconditional energy stabilities for the
modified phase field crystal equation 1551--1580
Philipp Petersen and
Mones Raslan Approximation properties of hybrid
shearlet-wavelet frames for Sobolev
spaces . . . . . . . . . . . . . . . . . 1581--1606
Rida T. Farouki and
Graziano Gentili and
Hwan Pyo Moon and
Caterina Stoppato Minkowski products of unit quaternion
sets . . . . . . . . . . . . . . . . . . 1607--1629
Wansheng Wang Optimal convergence orders of fully
geometric mesh one-leg methods for
neutral differential equations with
vanishing variable delay . . . . . . . . 1631--1655
Ran Zhang and
Gerlind Plonka Optimal approximation with exponential
sums by a maximum likelihood
modification of Prony's method . . . . . 1657--1687
Svenja Hüning and
Johannes Wallner Convergence of subdivision schemes on
Riemannian manifolds with nonpositive
sectional curvature . . . . . . . . . . 1689--1709
Jakob Geppert and
Felix Krahmer and
Dominik Stöger Sparse power factorization: balancing
peakiness and sample complexity . . . . 1711--1728
L. J. Gray and
Jas Jakowski and
M. N. J. Moore and
Wenjing Ye Boundary integral analysis for
non-homogeneous, incompressible Stokes
flows . . . . . . . . . . . . . . . . . 1729--1734
Maryam Yashtini and
Sung Ha Kang and
Wei Zhu Efficient alternating minimization
methods for variational edge-weighted
colorization models . . . . . . . . . . 1735--1767
Raúl M. Falcón and
Víctor Álvarez and
Félix Gudiel A computational algebraic geometry
approach to analyze pseudo-random
sequences based on Latin squares . . . . 1769--1792
Aleksandra 'Swietlicka Regularization theory in the study of
generalization ability of a biological
neural network model . . . . . . . . . . 1793--1805
Tomasz Tala'ska Parallel, asynchronous, fuzzy logic
systems realized in CMOS technology . . 1807--1823
José L. Galán-García and
Gabriel Aguilera-Venegas and
María Á. Galán-García and
Pedro Rodríguez-Cielos and
Iván Atencia-McKillop and
Yolanda Padilla-Domínguez and
Ricardo Rodríguez-Cielos Enhancing Cas improper integrals
computations using extensions of the
residue theorem . . . . . . . . . . . . 1825--1841
José Roberto Cantú-González and
O. Díaz-Hernández and
Elizeth Ramírez-Álvarez and
C. I. Enríquez Flores and
A. Flores Rosas and
Gerardo J. Escalera Santos A computational study of the gene
expression in the tryptophan operon with
two types of cooperativity . . . . . . . 1843--1851
Petr Knobloch and
Petr Lukás and
Pavel Solin On error indicators for optimizing
parameters in stabilized methods . . . . 1853--1862
Ivan Atencia and
José L. Galán-García and
Gabriel Aguilera-Venegas and
Pedro Rodríguez-Cielos and
M. Ángeles Galán-García An arriving decision problem in a
discrete-time queueing system . . . . . 1863--1879
Eugenio Roanes-Lozano and
José Luis Galán-García and
Gabriel Aguilera-Venegas A prototype of a functional approach to
personalized menus generation using set
operations . . . . . . . . . . . . . . . 1881--1895
Robert Cimrman and
Vladimír Lukes and
Eduard Rohan Multiscale finite element calculations
in Python using SfePy . . . . . . . . . 1897--1921
Sinem Arslan and
Münevver Tezer-Sezgin Exact and FDM solutions of 1D MHD flow
between parallel electrically conducting
and slipping plates . . . . . . . . . . 1923--1938
Jirí Fürst and
Zdenek Zák Numerical simulation of unsteady flows
through a radial turbine . . . . . . . . 1939--1952
Jan Nikl and
Milan Kucha\vrík and
Ji\vrí Limpouch and
Richard Liska and
Stefan Weber Wave-based laser absorption method for
high-order transport-hydrodynamic codes 1953--1976
Jirí Holman and
Jirí Fürst Coupling the algebraic model of bypass
transition with EARSM model of
turbulence . . . . . . . . . . . . . . . 1977--1992
Eva Bezchlebová and
Vít Dolej\vsí and
Miloslav Feistauer and
Petr Svá\vcek Numerical simulation of two-phase flow
of immiscible fluids by the finite
element, discontinuous Galerkin and
level-set methods . . . . . . . . . . . 1993--2018
Mario A. Aguirre-López and
F-Javier Almaguer and
O. Díaz-Hernández and
Gerardo J. Escalera Santos and
Javier Morales-Castillo On continuous inkjet systems: a printer
driver for expiry date labels on
cylindrical surfaces . . . . . . . . . . 2019--2028
Georgios Diamantopoulos and
Andreas Hössinger and
Siegfried Selberherr and
Josef Weinbub A shared memory parallel multi-mesh fast
marching method for re-distancing . . . 2029--2045
Radka Keslerová and
Hynek Reznícek and
Tomás Padelek Numerical modelling of generalized
Newtonian fluids in bypass tube . . . . 2047--2063
Petr Svácek On implementation aspects of finite
element method and its application . . . 2065--2081
C. Destenave Rodriguez and
Javier Morales-Castillo and
José Roberto Cantú-González and
F-Javier Almaguer and
J. M. Martinez Mathematical analysis to optimize
crystal growth . . . . . . . . . . . . . 2083--2096
Mario A. Aguirre-López and
O. Díaz-Hernández and
Filiberto Hueyotl-Zahuantitla and
Javier Morales-Castillo and
F.-Javier Almaguer and
Gerardo J. Escalera Santos A cardioid-parametric model for the
Magnus effect in baseballs . . . . . . . 2097--2109
Gabriel Aguilera-Venegas and
José Luis Galán-García and
Rocío Egea-Guerrero and
María Á. Galán-García and
Pedro Rodríguez-Cielos and
Yolanda Padilla-Domínguez and
María Galán-Luque A probabilistic extension to Conway's
Game of Life . . . . . . . . . . . . . . 2111--2121
Neta Rabin and
Dalia Fishelov Two directional Laplacian pyramids with
application to data imputation . . . . . 2123--2146
Vladimír Hric and
Jan Halama On the numerical solution of
non-equilibrium condensation of steam in
nozzles . . . . . . . . . . . . . . . . 2147--2162
J. Fo\vrt and
J. Karel and
D. Trdli\vcka and
F. Benkhaldoun and
I. Kissami and
J.-B. Montavon and
K. Hassouni and
J. Zs. Mezei Finite volume methods for numerical
simulation of the discharge motion
described by different physical models 2163--2189
Stefan Hain and
Mario Ohlberger and
Mladjan Radic and
Karsten Urban A hierarchical a posteriori error
estimator for the Reduced Basis Method 2191--2214
Christoph Lehrenfeld and
Stephan Rave Mass conservative reduced order modeling
of a free boundary osmotic cell swelling
problem . . . . . . . . . . . . . . . . 2215--2239
Peter Benner and
Xingang Cao and
Wil Schilders A bilinear $ \mathcal {H}_2 $ model
order reduction approach to linear
parameter-varying systems . . . . . . . 2241--2271
Benjamin Unger and
Serkan Gugercin Kolmogorov $n$-widths for linear
dynamical systems . . . . . . . . . . . 2273--2286
Masayuki Yano Discontinuous Galerkin reduced basis
empirical quadrature procedure for model
reduction of parametrized nonlinear
conservation laws . . . . . . . . . . . 2287--2320
Benjamin Peherstorfer and
Youssef Marzouk A transport-based multifidelity
preconditioner for Markov chain Monte
Carlo . . . . . . . . . . . . . . . . . 2321--2348
Giovanni Stabile and
Francesco Ballarin and
Giacomo Zuccarino and
Gianluigi Rozza A reduced order variational multiscale
approach for turbulent flows . . . . . . 2349--2368
Nicole Aretz-Nellesen and
Martin A. Grepl and
Karen Veroy 3D-VAR for parameterized partial
differential equations: a certified
reduced basis approach . . . . . . . . . 2369--2400
Carmen Gräßle and
Michael Hinze and
Jens Lang and
Sebastian Ullmann POD model order reduction with
space-adapted snapshots for
incompressible flows . . . . . . . . . . 2401--2428
Tommaso Taddei An offline/online procedure for dual
norm calculations of parameterized
functionals: empirical quadrature and
empirical test spaces . . . . . . . . . 2429--2462
Niccol\`o Dal Santo and
Andrea Manzoni Hyper-reduced order models for
parametrized unsteady Navier--Stokes
equations on domains with variable shape 2463--2501
Martin Eigel and
Reinhold Schneider and
Philipp Trunschke and
Sebastian Wolf Variational Monte Carlo-bridging
concepts of machine learning and
high-dimensional partial differential
equations . . . . . . . . . . . . . . . 2503--2532
Peter Benner and
Christian Himpe Cross-Gramian-based dominant subspaces 2533--2553
Hermann G. Matthies and
Roger Ohayon Analysis of parametric models . . . . . 2555--2586
Birgul Koc and
Muhammad Mohebujjaman and
Changhong Mou and
Traian Iliescu Commutation error in reduced order
modeling of fluid flows . . . . . . . . 2587--2621
Liang Wang and
Chunguang Xiong and
Huibin Wu and
Fusheng Luo A priori and a posteriori error analysis
for discontinuous Galerkin finite
element approximations of biharmonic
eigenvalue problems . . . . . . . . . . 2623--2646
Hong Wang and
Xiangcheng Zheng Analysis and numerical solution of a
nonlinear variable-order fractional
differential equation . . . . . . . . . 2647--2675
Zhendong Gu Spectral collocation method for system
of weakly singular Volterra integral
equations . . . . . . . . . . . . . . . 2677--2699
Mai Duc Thanh A well-balanced numerical scheme for a
model of two-phase flows with treatment
of nonconservative terms . . . . . . . . 2701--2719
Hakop Hakopian and
Vahagn Vardanyan On the usage of lines in $ G C_n $ sets 2721--2743
Zheng-Chu Guo and
Lei Shi Fast and strong convergence of online
learning algorithms . . . . . . . . . . 2745--2770
Masoud Ahookhosh and
Francisco J. Aragón Artacho and
Ronan M. T. Fleming and
Phan T. Vuong Local convergence of the
Levenberg--Marquardt method under Hölder
metric subregularity . . . . . . . . . . 2771--2806
Lori Badea On the convergence of a multigrid method
for Moreau-regularized variational
inequalities of the second kind . . . . 2807--2832
Yidan Zhang and
Yunqing Huang and
Nianyu Yi Superconvergence of the
Crouzeix--Raviart element for elliptic
equation . . . . . . . . . . . . . . . . 2833--2844
Corey Harris and
Mateusz Micha\lek and
Emre Can Sertöz Computing images of polynomial maps . . 2845--2865
Nicola Guglielmi and
Carmela Scalone Computing the closest real normal matrix
and normal completion . . . . . . . . . 2867--2891
Michael Karkulik and
Jens Markus Melenk $ {\mathscr {H}} $-matrix
approximability of inverses of
discretizations of the fractional
Laplacian . . . . . . . . . . . . . . . 2893--2919
Bin Wang and
Xinyuan Wu Long-time momentum and actions behaviour
of energy-preserving methods for
semi-linear wave equations via spatial
spectral semi-discretisations . . . . . 2921--2952
Johannes Tausch Nyström method for BEM of the heat
equation with moving boundaries . . . . 2953--2968
Oleg Balabanov and
Anthony Nouy Randomized linear algebra for model
reduction. Part I: Galerkin methods and
error estimation . . . . . . . . . . . . 2969--3019
Oliver Kunc and
Felix Fritzen Generation of energy-minimizing point
sets on spheres and their application in
mesh-free interpolation and
differentiation . . . . . . . . . . . . 3021--3056
Xianyi Zeng and
Mashriq Ahmed Saleh and
Jianjun Paul Tian On finite volume discretization of
infiltration dynamics in tumor growth
models . . . . . . . . . . . . . . . . . 3057--3094
Robert J. Kunsch and
Daniel Rudolf Optimal confidence for Monte Carlo
integration of smooth functions . . . . 3095--3122
Feng Chen and
Jie Shen Stability and convergence analysis of
rotational velocity correction methods
for the Navier--Stokes equations . . . . 3123--3136
Rosa Donat and
Sergio López-Ureña Nonlinear stationary subdivision schemes
reproducing hyperbolic and trigonometric
functions . . . . . . . . . . . . . . . 3137--3172
Dongyang Shi and
Huaijun Yang Unconditionally optimal error estimates
of a new mixed FEM for nonlinear
Schrödinger equations . . . . . . . . . . 3173--3194
N. K. -R. Kevlahan and
R. Khan and
B. Protas On the convergence of data assimilation
for the one-dimensional shallow water
equations with sparse observations . . . 3195--3216
Wei Zhu A first-order image denoising model for
staircase reduction . . . . . . . . . . 3217--3239
Bernhard G. Bodmann and
Demetrio Labate and
Basanta R. Pahari Smooth projections and the construction
of smooth Parseval frames of shearlets 3241--3264
Peipei Lu and
Haijun Wu and
Xuejun Xu Continuous interior penalty finite
element methods for the time-harmonic
Maxwell equation with high wave number 3265--3291
F. Ghoreishi and
Changiz Goli Keshavarzi Preconditioning RBF collocation method
by adapted finite difference matrix . . 3293--3325
Johan de Villiers and
Dinna Ranirina Shortest multi-wavelet matrix filters
for refinable vector splines . . . . . . 3327--3365
Christian Kuehn and
Patrick Kürschner Combined error estimates for local
fluctuations of SPDEs . . . . . . . . . ??
C. Herzet and
M. Diallo Performance guarantees for a variational
``multi-space'' decoder . . . . . . . . ??
Alessandro Alla and
Bernard Haasdonk and
Andreas Schmidt Feedback control of parametrized PDEs
via model order reduction and dynamic
programming principle . . . . . . . . . ??
Zongmin Wu and
Xuan Zhou Polynomial convergence order of
stochastic Bernstein approximation . . . ??
Fei Zhao and
Xia Cui and
Guangwei Yuan Iterative acceleration methods with
second-order time accuracy for nonlinear
diffusion equations . . . . . . . . . . ??
Nicat Aliyev and
Volker Mehrmann and
Emre Mengi Approximation of stability radii for
large-scale dissipative Hamiltonian
systems . . . . . . . . . . . . . . . . ??
Rong An Iteration penalty method for the
incompressible Navier--Stokes equations
with variable density based on the
artificial compressible method . . . . . ??
X. Chen and
V. Gonzalez and
E. Goodman and
S. Kang and
K. A. Okoudjou Universal optimal configurations for the
$p$-frame potentials . . . . . . . . . . ??
Ion Victor Gosea and
Qiang Zhang and
Athanasios C. Antoulas Preserving the DAE structure in the
Loewner model reduction and
identification framework . . . . . . . . ??
Doghonay Arjmand and
Mikhail Poluektov and
Gunilla Kreiss Modelling long-range interactions in
multiscale simulations of ferromagnetic
materials . . . . . . . . . . . . . . . ??
Shusen Xie and
Su-Cheol Yi A conservative compact finite difference
scheme for the coupled Schrödinger--KdV
equations . . . . . . . . . . . . . . . ??
Philipp Grohs and
Gitta Kutyniok and
Jackie Ma and
Philipp Petersen and
Mones Raslan Anisotropic multiscale systems on
bounded domains . . . . . . . . . . . . ??
Giorgia Bellomonte and
Rosario Corso Frames and weak frames for unbounded
operators . . . . . . . . . . . . . . . ??
Bingquan Ji and
Hong-lin Liao and
Luming Zhang Simple maximum principle preserving
time-stepping methods for
time-fractional Allen--Cahn equation . . ??
Tongyao Pang and
Chunlin Wu and
Zhifang Liu A cubic spline penalty for sparse
approximation under tight frame balanced
model . . . . . . . . . . . . . . . . . ??
Jian Dong A robust second-order surface
reconstruction for shallow water flows
with a discontinuous topography and a
Manning friction . . . . . . . . . . . . ??
Bing Zheng and
Peng Lv Structured backward error analysis for
generalized saddle point problems . . . ??
Fan Zhang and
Jian Cheng and
Tiegang Liu Exponential boundary-layer approximation
space for solving the compressible
laminar Navier--Stokes equations . . . . ??
Andreas Schmidt and
Dominik Wittwar and
Bernard Haasdonk Rigorous and effective a-posteriori
error bounds for nonlinear
problems-application to RB methods . . . ??
Nicola Guglielmi and
Carmela Scalone An efficient method for non-negative
low-rank completion . . . . . . . . . . ??
Avram Sidi Vector versions of Prony's algorithm and
vector-valued rational approximations ??
Xinjie Dai and
Aiguo Xiao Lévy-driven stochastic Volterra integral
equations with doubly singular kernels:
existence, uniqueness, and a fast EM
method . . . . . . . . . . . . . . . . . ??
Isabelle Cattiaux-Huillard and
Laura Saini Characterization and extensive study of
cubic and quintic algebraic
trigonometric planar PH curves . . . . . ??
Chuchu Chen and
David Cohen and
Raffaele D'Ambrosio and
Annika Lang Drift-preserving numerical integrators
for stochastic Hamiltonian systems . . . ??
Xin Li and
Luming Zhang A conservative sine
pseudo-spectral-difference method for
multi-dimensional coupled
Gross--Pitaevskii equations . . . . . . ??
Rui Li and
Yali Gao and
Jie Chen and
Li Zhang and
Xiaoming He and
Zhangxin Chen Discontinuous finite volume element
method for a coupled
Navier--Stokes--Cahn--Hilliard phase
field model . . . . . . . . . . . . . . ??
Tianliang Hou and
Luoping Chen and
Yueting Yang and
Yin Yang Two-grid Raviart--Thomas mixed finite
element methods combined with
Crank--Nicolson scheme for a class of
nonlinear parabolic equations . . . . . ??
Chaolong Jiang and
Yongzhong Song and
Yushun Wang A linearly implicit structure-preserving
Fourier pseudo-spectral scheme for the
damped nonlinear Schrödinger equation in
three dimensions . . . . . . . . . . . . ??
María J. Benac and
Pedro Massey and
Mariano Ruiz and
Demetrio Stojanoff Optimal frame designs for multitasking
devices with weight restrictions . . . . ??
Toni Karvonen and
Simo Särkkä Worst-case optimal approximation with
increasingly flat Gaussian kernels . . . ??
Travis Askham and
Manas Rachh A boundary integral equation approach to
computing eigenvalues of the Stokes
operator . . . . . . . . . . . . . . . . ??
Bei Zhang and
Jikun Zhao and
Shaochun Chen The nonconforming virtual element method
for fourth-order singular perturbation
problem . . . . . . . . . . . . . . . . ??
Marc Bonnet and
Ruowen Liu and
Shravan Veerapaneni Shape optimization of Stokesian
peristaltic pumps using boundary
integral methods . . . . . . . . . . . . ??
Leslie Greengard and
Shidong Jiang and
Jun Wang On the accurate evaluation of unsteady
Stokes layer potentials in moving
two-dimensional geometries . . . . . . . ??
José A. Adell and
Daniel Cárdenas-Morales Stochastic Bernstein polynomials:
uniform convergence in probability with
rates . . . . . . . . . . . . . . . . . ??
Hanzhang Hu and
Yanping Chen and
Yunqing Huang A characteristic finite element two-grid
algorithm for a compressible miscible
displacement problem . . . . . . . . . . ??
Mariam Arabyan On the rate of convergence for
approximation of an eigenvalue problem
describing vibrations of axisymmetric
revolution elastic shells . . . . . . . ??
Stefano Giani An adaptive composite discontinuous
Galerkin method for elliptic problems on
complicated domains with discontinuous
coefficients . . . . . . . . . . . . . . ??
Qiannan Dong and
Shuai Su and
Jiming Wu Analysis of the decoupled and
positivity-preserving DDFV schemes for
diffusion problems on polygonal meshes ??
Marco Donatelli and
Rolf Krause and
Mariarosa Mazza and
Ken Trotti Multigrid preconditioners for
anisotropic space-fractional diffusion
equations . . . . . . . . . . . . . . . ??
Xiaoli Li and
Jie Shen Stability and error estimates of the SAV
Fourier-spectral method for the phase
field crystal equation . . . . . . . . . ??
Jun Zhang and
Xiaofeng Yang Non-iterative, unconditionally energy
stable and large time-stepping method
for the Cahn--Hilliard phase-field model
with Flory--Huggins--de Gennes free
energy . . . . . . . . . . . . . . . . . ??
Francesca Bonizzoni and
Fabio Nobile and
Ilaria Perugia and
Davide Pradovera Least-Squares Padé approximation of
parametric and stochastic Helmholtz maps ??
Simon Sticko and
Gustav Ludvigsson and
Gunilla Kreiss High-order cut finite elements for the
elastic wave equation . . . . . . . . . ??
Xianglong Duan and
Chaoyu Quan and
Benjamin Stamm A boundary-partition-based Voronoi
diagram of $d$-dimensional balls:
definition, properties, and applications ??
Daijun Jiang and
Yikan Liu and
Dongling Wang Numerical reconstruction of the spatial
component in the source term of a
time-fractional diffusion equation . . . ??
Julio E. Castrillón-Candás and
Mark Kon Analytic regularity and stochastic
collocation of high-dimensional Newton
iterates . . . . . . . . . . . . . . . . ??
Christophe Buet and
Bruno Despres and
Guillaume Morel Trefftz discontinuous Galerkin basis
functions for a class of Friedrichs
systems coming from linear transport . . ??
Peter Benner and
Steffen W. R. Werner Hankel-norm approximation of large-scale
descriptor systems . . . . . . . . . . . ??
Holger Wendland and
Jens Künemund Solving partial differential equations
on (evolving) surfaces with radial basis
functions . . . . . . . . . . . . . . . ??
Chaobao Huang and
Martin Stynes Optimal $ H^1 $ spatial convergence of a
fully discrete finite element method for
the time-fractional Allen--Cahn equation ??
L.-B. Maier Ambient residual penalty approximation
of partial differential equations on
embedded submanifolds . . . . . . . . . ??
Bosco García-Archilla and
Julia Novo Error analysis of fully discrete mixed
finite element data assimilation schemes
for the Navier--Stokes equations . . . . ??
Wenming He and
Zhimin Zhang and
Qingsong Zou Local superconvergence of post-processed
high-order finite volume element
solutions . . . . . . . . . . . . . . . ??
Mazen Ali and
Karsten Urban HT-AWGM: a hierarchical Tucker-adaptive
wavelet Galerkin method for
high-dimensional elliptic problems . . . ??
Dang Van Hieu and
Pham Kim Quy and
La Thi Hong and
Le Van Vy Accelerated hybrid methods for solving
pseudomonotone equilibrium problems . . ??
Jongho Park An overlapping domain decomposition
framework without dual formulation for
variational imaging problems . . . . . . ??
Yichen Wei and
Lijun Yi An hp-version of the $ C^0
$-continuous Petrov--Galerkin time
stepping method for nonlinear
second-order initial value problems . . ??
Shivakanth Chary Puligilla and
Balaji Jayaraman Assessment of end-to-end and sequential
data-driven learning for non-intrusive
modeling of fluid flows . . . . . . . . ??
Tran Nhat Luan and
Tra Quoc Khanh Determination of temperature
distribution and thermal flux for
two-dimensional inhomogeneous sideways
heat equations . . . . . . . . . . . . . ??
Haiyong Wang and
Lun Zhang Analysis of multivariate Gegenbauer
approximation in the hypercube . . . . . ??
Daria A. Sushnikova and
Ivan V. Oseledets Simple non-extensive sparsification of
the hierarchical matrices . . . . . . . ??
Elena Cordero and
Maurice de Gosson and
Monika Dörfler and
Fabio Nicola Generalized Born--Jordan distributions
and applications . . . . . . . . . . . . ??
Haitao Leng and
Yanping Chen Adaptive hybridizable discontinuous
Galerkin methods for nonstationary
convection diffusion problems . . . . . ??
Yuan Li and
Chunfang Zhai Unconditionally optimal convergence
analysis of second-order BDF Galerkin
finite element scheme for a hybrid MHD
system . . . . . . . . . . . . . . . . . ??
D. Adak and
S. Natarajan Virtual element methods for nonlocal
parabolic problems on general type of
meshes . . . . . . . . . . . . . . . . . ??
Pitágoras Pinheiro de Carvalho and
Enrique Fernández-Cara and
Juan Bautista Límaco Ferrel On the computation of Nash and Pareto
equilibria for some bi-objective control
problems for the wave equation . . . . . ??
Jian Lu and
Qingtang Jiang and
Lin Li Analysis of adaptive synchrosqueezing
transform with a time-varying parameter ??
Yanhui Zhou and
Jiming Wu A unified analysis of a class of
quadratic finite volume element schemes
on triangular meshes . . . . . . . . . . ??
Michael S. Floater and
Kaibo Hu A characterization of supersmoothness of
multivariate splines . . . . . . . . . . ??
Fredrik Fryklund and
Mary Catherine A. Kropinski and
Anna-Karin Tornberg An integral equation-based numerical
method for the forced heat equation on
complex domains . . . . . . . . . . . . ??
Jian Meng and
Liquan Mei A mixed virtual element method for the
vibration problem of clamped Kirchhoff
plate . . . . . . . . . . . . . . . . . ??
Yekaterina Epshteyn and
Qing Xia Difference potentials method for models
with dynamic boundary conditions and
bulk-surface problems . . . . . . . . . ??
Zhendong Gu Spectral collocation method for
nonlinear Caputo fractional differential
system . . . . . . . . . . . . . . . . . ??
Maximilian Bochmann and
Lutz Kämmerer and
Daniel Potts A sparse FFT approach for ODE with
random coefficients . . . . . . . . . . ??
Christopher Beattie and
Serkan Gugercin and
Zoran Tomljanovi\'c Sampling-free model reduction of systems
with low-rank parameterization . . . . . ??
Peter Benner and
Xin Du and
Guanghong Yang and
Dan Ye Balanced truncation of linear
time-invariant systems over
finite-frequency ranges . . . . . . . . ??
Yidu Yang and
Yu Zhang and
Hai Bi Non-conforming Crouzeix--Raviart element
approximation for Stekloff eigenvalues
in inverse scattering . . . . . . . . . ??
J. A. A. Andrade Exact posterior computation for the
binomial-Kumaraswamy model . . . . . . . ??
Rui Chen and
Hui Zhang Second-order energy stable schemes for
the new model of the Cahn--Hilliard--MHD
equations . . . . . . . . . . . . . . . ??
Ying Yang and
Ming Tang and
Chun Liu and
Benzhuo Lu and
Liuqiang Zhong Superconvergent gradient recovery for
nonlinear Poisson--Nernst--Planck
equations with applications to the ion
channel problem . . . . . . . . . . . . ??
Yunqing Huang and
Jichun Li Numerical analysis of a finite element
method for the electromagnetic
concentrator model . . . . . . . . . . . ??
Osman Asif Malik and
Stephen Becker Fast randomized matrix and tensor
interpolative decomposition using
CountSketch . . . . . . . . . . . . . . ??
Kevin Schober and
Jürgen Prestin and
Serhii A. Stasyuk Edge detection with trigonometric
polynomial shearlets . . . . . . . . . . ??
Deepesh Toshniwal and
Bernard Mourrain and
Thomas J. R. Hughes Polynomial spline spaces of non-uniform
bi-degree on T-meshes: combinatorial
bounds on the dimension . . . . . . . . ??
Rodolfo Araya and
Cristian Cárcamo and
Abner H. Poza and
Frédéric Valentin An adaptive multiscale hybrid-mixed
method for the Oseen equations . . . . . ??
Cong Wu and
Xiaochen Zeng and
Na Mi Adaptive and optimal pointwise
deconvolution density estimations by
wavelets . . . . . . . . . . . . . . . . ??
Nguyen Xuan Thanh and
Mai Duc Thanh and
Dao Huy Cuong A well-balanced high-order scheme on van
Leer-type for the shallow water
equations with temperature gradient and
variable bottom topography . . . . . . . ??
Mani Mehra and
Ankita Shukla and
Günter Leugering An adaptive spectral graph wavelet
method for PDEs on networks . . . . . . ??
Fabian Laakmann and
Philipp Petersen Efficient approximation of solutions of
parametric linear transport equations by
ReLU DNNs . . . . . . . . . . . . . . . ??
Souad Mohaoui and
Abdelilah Hakim and
Said Raghay Tensor completion via bilevel
minimization with fixed-point constraint
to estimate missing elements in noisy
data . . . . . . . . . . . . . . . . . . ??
Zhi Li and
Ming Yan New convergence analysis of a
primal-dual algorithm with large
stepsizes . . . . . . . . . . . . . . . ??
Wansheng Wang and
Mengli Mao and
Zheng Wang Stability and error estimates for the
variable step-size BDF2 method for
linear and semilinear parabolic
equations . . . . . . . . . . . . . . . ??
Jiangyong Hou and
Wenjing Yan and
Dan Hu and
Zhengkang He Robin-Robin domain decomposition methods
for the dual-porosity-conduit system . . ??
Deepesh Toshniwal and
Michael DiPasquale Counting the dimension of splines of
mixed smoothness . . . . . . . . . . . . ??
Tom Needham and
Clayton Shonkwiler Symplectic geometry and connectivity of
spaces of frames . . . . . . . . . . . . ??
Ben Adcock and
Mohsen Seifi Frame approximation with bounded
coefficients . . . . . . . . . . . . . . ??
Yibao Li and
Qian Yu and
Weiwei Fang and
Binhu Xia and
Junseok Kim A stable second-order BDF scheme for the
three-dimensional
Cahn--Hilliard--Hele--Shaw system . . . ??
Raimund Bürger and
Sarvesh Kumar and
David Mora and
Ricardo Ruiz-Baier and
Nitesh Verma Virtual element methods for the
three-field formulation of
time-dependent linear poroelasticity . . ??
Moreno Pintore and
Federico Pichi and
Martin Hess and
Gianluigi Rozza and
Claudio Canuto Efficient computation of bifurcation
diagrams with a deflated approach to
reduced basis spectral element method ??
Jiao-fen Li and
Wen Li and
Xue-feng Duan and
Mingqing Xiao Newton's method for the parameterized
generalized eigenvalue problem with
nonsquare matrix pencils . . . . . . . . ??
Xiu Ye and
Shangyou Zhang A stabilizer-free pressure-robust finite
element method for the Stokes equations ??
Fei Xu and
Meiling Yue and
Bin Zheng Multilevel correction adaptive finite
element method for solving nonsymmetric
eigenvalue problems . . . . . . . . . . ??
Oleg Balabanov and
Anthony Nouy Randomized linear algebra for model
reduction --- Part II: minimal residual
methods and dictionary-based
approximation . . . . . . . . . . . . . ??
M. Charina and
C. Conti and
T. Mejstrik and
J.-L. Merrien Joint spectral radius and ternary
Hermite subdivision . . . . . . . . . . ??
A. Chernov and
C. Marcati and
L. Mascotto $p$ --- and hp --- virtual elements
for the Stokes problem . . . . . . . . . ??
Xuping Wang and
Qifeng Zhang and
Zhi-zhong Sun The pointwise error estimates of two
energy-preserving fourth-order compact
schemes for viscous Burgers' equation ??
Anna Karina Fontes Gomes and
Margarete Oliveira Domingues and
Odim Mendes and
Kai Schneider Adaptive two- and three-dimensional
multiresolution computations of
resistive magnetohydrodynamics . . . . . ??
Hongtao Chen and
Xiaobing Feng and
Zhimin Zhang A recovery-based linear $ C^0 $ finite
element method for a fourth-order
singularly perturbed Monge--Amp\`ere
equation . . . . . . . . . . . . . . . . ??
Jérome Droniou and
Neela Nataraj and
Devika Shylaja Hessian discretisation method for
fourth-order semi-linear elliptic
equations: applications to the von Kármán
and Navier--Stokes models . . . . . . . ??
Hanz Martin Cheng and
Jan ten Thije Boonkkamp A generalised complete flux scheme for
anisotropic advection--diffusion
equations . . . . . . . . . . . . . . . ??
Costanza Conti and
Mariantonia Cotronei and
Demetrio Labate and
Wilfredo Molina Stable recovery of planar regions with
algebraic boundaries in Bernstein form ??
Mario Kapl and
Vito Vitrih $ C^s $-smooth isogeometric spline
spaces over planar bilinear multi-patch
parameterizations . . . . . . . . . . . ??
Yongseok Jang and
Simon Shaw A priori error analysis for a finite
element approximation of dynamic
viscoelasticity problems involving a
fractional order integro-differential
constitutive law . . . . . . . . . . . . ??
Bowei Wu and
Per-Gunnar Martinsson Zeta correction: a new approach to
constructing corrected trapezoidal
quadrature rules for singular integral
operators . . . . . . . . . . . . . . . ??
Kendall Atkinson and
David Chien and
Olaf Hansen Multivariate quadrature of a singular
integrand . . . . . . . . . . . . . . . ??
Peter Benner and
Serkan Gugercin and
Steffen W. R. Werner Structure-preserving interpolation of
bilinear control systems . . . . . . . . ??
Timon S. Gutleb A fast sparse spectral method for
nonlinear integro-differential Volterra
equations with general kernels . . . . . ??
Huan Liu and
Xiangcheng Zheng and
Chuanjun Chen and
Hong Wang A characteristic finite element method
for the time-fractional mobile/immobile
advection diffusion model . . . . . . . ??
Julio E. Castrillón-Candás and
Fabio Nobile and
Raúl F. Tempone A hybrid collocation--perturbation
approach for PDEs with random domains ??
Robin Ahrens and
Sabine Le Borne Reconstruction of low-rank aggregation
kernels in univariate population balance
equations . . . . . . . . . . . . . . . ??
Yubing Sui and
Jingzhou Jiang and
Guigen Jin and
Xiaofeng Yang Second-order accurate and energy stable
numerical scheme for an immiscible
binary mixture of nematic liquid
crystals and viscous fluids with strong
anchoring potentials . . . . . . . . . . ??
Yuling Guo and
Zhongqing Wang An hp-version Legendre spectral
collocation method for multi-order
fractional differential equations . . . ??
Michael Hinze and
Denis Korolev A space-time certified reduced basis
method for quasilinear parabolic partial
differential equations . . . . . . . . . ??
Qifeng Zhang and
Jan S. Hesthaven and
Zhi-zhong Sun and
Yunzhu Ren Pointwise error estimate in difference
setting for the two-dimensional
nonlinear fractional complex
Ginzburg--Landau equation . . . . . . . ??
Fleurianne Bertrand and
Daniele Boffi and
Gonzalo G. de Diego Convergence analysis of the scaled
boundary finite element method for the
Laplace equation . . . . . . . . . . . . ??
Nguyen Hieu Thao and
Oleg Soloviev and
Michel Verhaegen Convex combination of alternating
projection and Douglas--Rachford
operators for phase retrieval . . . . . ??
Yuanyuan Zhang and
Chuanjun Chen and
Chunjia Bi A quadratic finite volume method for
nonlinear elliptic problems . . . . . . ??
Xiaoyan Song and
Guang-Hui Zheng and
Lijian Jiang Variational Bayesian inversion for the
reaction coefficient in space-time
nonlocal diffusion equations . . . . . . ??
Haitao Leng and
Yanping Chen Residual-type a posteriori error
analysis of HDG methods for Neumann
boundary control problems . . . . . . . ??
William Leeb Rapid evaluation of the spectral signal
detection threshold and Stieltjes
transform . . . . . . . . . . . . . . . ??
Pengyu Hou and
Fang Liu Two-scale finite element discretizations
for nonlinear eigenvalue problems in
quantum physics . . . . . . . . . . . . ??
Hongfei Fu and
Chen Zhu and
Xueting Liang and
Bingyin Zhang Efficient spatial second-/fourth-order
finite difference ADI methods for
multi-dimensional variable-order
time-fractional diffusion equations . . ??
Nasim Eshghi and
Lothar Reichel Estimating the error in matrix function
approximations . . . . . . . . . . . . . ??
Xiaojing Zhu and
Hiroyuki Sato Cayley-transform-based gradient and
conjugate gradient algorithms on
Grassmann manifolds . . . . . . . . . . ??
Evelyn Buckwar and
Raffaele D'Ambrosio Exponential mean-square stability
properties of stochastic linear
multistep methods . . . . . . . . . . . ??
Kevin Schlegel When is there a representer theorem? . . ??
Daniel Potts and
Manfred Tasche Continuous window functions for NFFT . . ??
Jun Hu and
Limin Ma and
Rui Ma Optimal superconvergence analysis for
the Crouzeix--Raviart and the Morley
elements . . . . . . . . . . . . . . . . ??
C. Campi and
F. Marchetti and
E. Perracchione Learning via variably scaled kernels . . ??
Ulrich Reif and
Andreas Weinmann Clothoid fitting and geometric Hermite
subdivision . . . . . . . . . . . . . . ??
Ole Christensen and
Say Song Goh and
Hong Oh Kim and
Rae Young Kim Translation partitions of unity,
symmetry properties, and Gabor frames ??
M.-L. Rapún and
F. Terragni and
J. M. Vega Adaptive sampling and modal expansions
in pattern-forming systems . . . . . . . ??
Tomás P. Barrios and
Edwin M. Behrens and
Rommel Bustinza An a posteriori error estimate for a
dual mixed method applied to Stokes
system with non-null source terms . . . ??
Johan Helsing and
Anders Karlsson and
Andreas Rosén Comparison of integral equations for the
Maxwell transmission problem with
general permittivities . . . . . . . . . ??
Sascha Timme Mixed precision path tracking for
polynomial homotopy continuation . . . . ??
Elham Farazandeh and
Davoud Mirzaei A rational RBF interpolation with
conditionally positive definite kernels ??
Rong Huang and
Jungong Xue Accurate singular values of a class of
parameterized negative matrices . . . . ??
Pedro González Casanova and
Víctor Hernández-Santamaría Carleman estimates and controllability
results for fully discrete
approximations of 1D parabolic equations ??
Nan Zheng and
Xiaoli Li Error analysis of the SAV
Fourier-spectral method for the
Cahn--Hilliard--Hele--Shaw system . . . ??
Xue Sun and
Zhongli Liu and
Hongjiong Tian An alternative approach for order
conditions of Runge--Kutta--Nyström
methods . . . . . . . . . . . . . . . . ??
Wen Yan and
Robert Blackwell Kernel aggregated fast multipole method ??
I. G. Graham and
O. R. Pembery and
E. A. Spence Analysis of a Helmholtz preconditioning
problem motivated by uncertainty
quantification . . . . . . . . . . . . . ??
Zhao-Zheng Liang and
Guo-Feng Zhang Robust preconditioning techniques for
multiharmonic finite element method with
application to time-periodic parabolic
optimal control problems . . . . . . . . ??
Nicola Guglielmi and
Daniel Kressner and
Carmela Scalone Computing low-rank rightmost eigenpairs
of a class of matrix-valued linear
operators . . . . . . . . . . . . . . . ??
Jingfang Huang and
Jian Cao and
Fuhui Fang and
Marc G. Genton and
David E. Keyes and
George Turkiyyah An $ O(N) $ algorithm for computing
expectation of $N$-dimensional truncated
multi-variate normal distribution I:
fundamentals . . . . . . . . . . . . . . ??
Leijie Qiao and
Da Xu A fast ADI orthogonal spline collocation
method with graded meshes for the
two-dimensional fractional
integro-differential equation . . . . . ??
Hui Zhang and
Xiaoyun Jiang and
Fanhai Zeng An $ H^1 $ convergence of the spectral
method for the time-fractional
non-linear diffusion equations . . . . . ??
Ernö Robert Csetnek and
Andrew Eberhard and
Matthew K. Tam Convergence rates for boundedly regular
systems . . . . . . . . . . . . . . . . ??
Mehdi Elasmi and
Christoph Erath and
Stefan Kurz Non-symmetric isogeometric FEM--BEM
couplings . . . . . . . . . . . . . . . ??
Huiping Li and
Song Li Riemannian optimization for phase
retrieval from masked Fourier
measurements . . . . . . . . . . . . . . ??
F. Guillén-González and
M. A. Rodríguez-Bellido and
D. A. Rueda-Gómez A chemorepulsion model with superlinear
production: analysis of the continuous
problem and two approximately positive
and energy-stable schemes . . . . . . . ??
Craig Gross and
Mark A. Iwen and
Lutz Kämmerer and
Toni Volkmer A deterministic algorithm for
constructing multiple rank-1 lattices of
near-optimal size . . . . . . . . . . . ??
Andreas Kleefeld The hot spots conjecture can be false:
some numerical examples . . . . . . . . ??
Milana Gataric High-resolution signal recovery via
generalized sampling and functional
principal component analysis . . . . . . ??
Gang Wang and
Feng Wang and
Yinnian He A divergence-free weak virtual element
method for the Navier--Stokes equation
on polygonal meshes . . . . . . . . . . ??
Mario Kapl and
Giancarlo Sangalli and
Thomas Takacs A family of $ C^1 $ quadrilateral finite
elements . . . . . . . . . . . . . . . . ??
J. Dölz and
H. Egger and
V. Shashkov A fast and oblivious matrix compression
algorithm for Volterra integral
operators . . . . . . . . . . . . . . . ??
Pham Quy Muoi and
Wee Chin Tan and
Viet Ha Hoang Essentially optimal finite elements for
multiscale elliptic eigenvalue problems ??
Wenjie Liu and
Li-Lian Wang and
Boying Wu Optimal error estimates for Legendre
expansions of singular functions with
fractional derivatives of bounded
variation . . . . . . . . . . . . . . . ??
Evelyn Buckwar and
Raffaele D'Ambrosio Correction to: Exponential mean-square
stability properties of stochastic
linear multistep methods . . . . . . . . ??
Hasan Karjoun and
Abdelaziz Beljadid and
Philippe G. LeFloch A structure-preserving algorithm for
surface water flows with transport
processes . . . . . . . . . . . . . . . ??
Yu-Min Chung and
Austin Lawson Persistence Curves: a canonical
framework for summarizing persistence
diagrams . . . . . . . . . . . . . . . . ??
Nadezda Sukhorukova and
Julien Ugon A generalisation of de la Vallée--Poussin
procedure to multivariate approximations ??
Luca Gemignani and
Lucia Romani and
Alberto Viscardi Bezout-like polynomial equations
associated with dual univariate
interpolating subdivision schemes . . . ??
T. Sorgente and
S. Biasotti and
G. Manzini and
M. Spagnuolo The role of mesh quality and mesh
quality indicators in the virtual
element method . . . . . . . . . . . . . ??
Carlos Borges and
Manas Rachh Multifrequency inverse obstacle
scattering with unknown impedance
boundary conditions using recursive
linearization . . . . . . . . . . . . . ??
Paola Boito and
Yuli Eidelman and
Luca Gemignani Computing the reciprocal of a $ \varphi
$-function by rational approximation . . ??
Martin W. Licht On basis constructions in finite element
exterior calculus . . . . . . . . . . . ??
Xijun Ma and
Chungen Shen and
Li Wang and
Lei-Hong Zhang and
Ren-Cang Li A self-consistent-field iteration for
MAXBET with an application to multi-view
feature extraction . . . . . . . . . . . ??
Fredrik Fryklund and
Ludvig af Klinteberg and
Anna-Karin Tornberg An adaptive kernel-split quadrature
method for parameter-dependent layer
potentials . . . . . . . . . . . . . . . ??
Georg Maierhofer and
Daan Huybrechs Convergence analysis of oversampled
collocation boundary element methods in
2D . . . . . . . . . . . . . . . . . . . ??
Philipp Krah and
Thomas Engels and
Kai Schneider and
Julius Reiss Wavelet adaptive proper orthogonal
decomposition for large-scale flow data ??
Laura Bagur and
Stéphanie Chaillat and
Patrick Ciarlet, Jr. Improvement of hierarchical matrices for
3D elastodynamic problems with a complex
wavenumber . . . . . . . . . . . . . . . ??
Lothar Nannen and
Markus Wess Complex-scaled infinite elements for
resonance problems in heterogeneous open
systems . . . . . . . . . . . . . . . . ??
Yunho Kim and
Dongsun Lee Numerical investigation into the
dependence of the Allen--Cahn equation
on the free energy . . . . . . . . . . . ??
Bo Zheng and
Jin Qin and
Yueqiang Shang Stability and convergence of some
parallel iterative subgrid stabilized
algorithms for the steady Navier--Stokes
equations . . . . . . . . . . . . . . . ??
Jongho Park Fast gradient methods for uniformly
convex and weakly smooth problems . . . ??
Meiling Yue and
Fei Xu and
Manting Xie A multilevel Newton's method for the
Steklov eigenvalue problem . . . . . . . ??
Tingyu Wang and
Simon K. Layton and
Lorena A. Barba Inexact GMRES iterations and relaxation
strategies with fast-multipole boundary
element method . . . . . . . . . . . . . ??
Stefano Zampini and
Wajih Boukaram and
George Turkiyyah and
Omar Knio and
David Keyes H2Opus: a distributed-memory multi-GPU
software package for non-local operators ??
Yang Li and
Minfu Feng and
Yan Luo A new local projection stabilization
virtual element method for the Oseen
problem on polygonal meshes . . . . . . ??
Dang Van Hieu and
Le Dung Muu and
Pham Kim Quy One-step optimization method for
equilibrium problems . . . . . . . . . . ??
Xin An and
Ananta K. Majee and
Andreas Prohl and
Thanh Tran Optimal control for a coupled
spin-polarized current and magnetization
system . . . . . . . . . . . . . . . . . ??
Yuyu He and
Xiaofeng Wang and
Ruihua Zhong A new linearized fourth-order
conservative compact difference scheme
for the SRLW equations . . . . . . . . . ??
Jhean E. Pérez-López and
Diego A. Rueda-Gómez and
Élder J. Villamizar-Roa Numerical analysis of a chemotaxis model
for tumor invasion . . . . . . . . . . . ??
Ron Levie and
Haim Avron Randomized continuous frames in
time-frequency analysis . . . . . . . . ??
Jichun Li and
Chi-Wang Shu and
Wei Yang Development and analysis of two new
finite element schemes for a time-domain
carpet cloak model . . . . . . . . . . . ??
Ba-Duong Chu and
Florian Martin and
Ulrich Reif Stabilization of spline bases by
extension . . . . . . . . . . . . . . . ??
Jules K. Djoko and
Jonas Koko and
Sognia Konlack Stokes equations under Tresca friction
boundary condition: a truncated approach ??
Matthias Eimer and
Raul Borsche and
Norbert Siedow Implicit finite volume method with a
posteriori limiting for transport
networks . . . . . . . . . . . . . . . . ??
J. Lai and
H. Dong A fast solver for elastic scattering
from axisymmetric objects by boundary
integral equations . . . . . . . . . . . ??
Hossein Javanshiri and
Mohammad Abolghasemi and
Ali Akbar Arefijamaal The essence of invertible frame
multipliers in scalability . . . . . . . ??
C. Marcati and
M. Rakhuba and
Ch. Schwab Tensor rank bounds for point
singularities in R$^3$ . . . . . . . . . ??
Rob Stevenson and
Raymond van Venetië and
Jan Westerdiep A wavelet-in-time, finite
element-in-space adaptive method for
parabolic evolution equations . . . . . ??
Jun Liu and
Xiang-Sheng Wang and
Shu-Lin Wu and
Tao Zhou A well-conditioned direct PinT algorithm
for first- and second-order evolutionary
equations . . . . . . . . . . . . . . . ??
Constantin Greif and
Philipp Junk and
Karsten Urban Linear/Ridge expansions: enhancing
linear approximations by ridge functions ??
Shantiram Mahata and
Rajen Kumar Sinha Nonsmooth data optimal error estimates
by energy arguments for subdiffusion
equations with memory . . . . . . . . . ??
Lyle Noakes and
Erchuan Zhang Finding geodesics joining given points ??
Tingting Hao and
Manman Ma and
Xuejun Xu Adaptive finite element approximation
for steady-state Poisson--Nernst--Planck
equations . . . . . . . . . . . . . . . ??
Zhoufeng Wang An adaptive finite volume method for the
diffraction grating problem with the
truncated DtN boundary condition . . . . ??
Ying Liu and
Zhen Guan and
Yufeng Nie Unconditionally optimal error estimates
of a linearized weak Galerkin finite
element method for semilinear parabolic
equations . . . . . . . . . . . . . . . ??
David M. Ambrose and
Roberto Camassa and
Jeremy L. Marzuola and
Richard M. McLaughlin and
Quentin Robinson and
Jon Wilkening Numerical algorithms for water waves
with background flow over obstacles and
topography . . . . . . . . . . . . . . . ??
Liam Yemm Design and analysis of the Extended
Hybrid High-Order method for the Poisson
problem . . . . . . . . . . . . . . . . ??
Carlos J. S. Alves and
Nuno F. M. Martins and
Ana L. Silvestre Numerical methods with particular
solutions for nonhomogeneous Stokes and
Brinkman systems . . . . . . . . . . . . ??
Tomás P. Barrios and
Edwin M. Behrens and
Rommel Bustinza Numerical analysis of a stabilized
scheme applied to incompressible
elasticity problems with Dirichlet and
with mixed boundary conditions . . . . . ??
Abinand Gopal and
Per-Gunnar Martinsson An accelerated, high-order accurate
direct solver for the
Lippmann--Schwinger equation for
acoustic scattering in the plane . . . . ??
Xin Li and
Luming Zhang High-order conservative energy
quadratization schemes for the
Klein--Gordon--Schrödinger equation . . . ??
Teng Zhang and
Tingchun Wang Uniform error bound of a conservative
fourth-order compact finite difference
scheme for the Zakharov system in the
subsonic regime . . . . . . . . . . . . ??
Guash Haile Taddele and
Yuan Li and
Aviv Gibali and
Poom Kumam and
Jing Zhao Linear approximation method for solving
split inverse problems and its
applications . . . . . . . . . . . . . . ??
E. Mainar and
J. M. Peña and
B. Rubio Accurate computations with matrices
related to bases $ t^i e^{\lambda t} $ ??
P. Marchand and
J. Galkowski and
E. A. Spence and
A. Spence Applying GMRES to the Helmholtz equation
with strong trapping: how does the
number of iterations depend on the
frequency? . . . . . . . . . . . . . . . ??
Ercília Sousa Convergence of consistent and
inconsistent schemes for fractional
diffusion problems with boundaries . . . ??
Yafei Sun and
Yingxiang Xu and
Shuangbin Wang and
Shan Gao Optimized Ventcel--Schwarz methods for
the Cahn--Hilliard equation discretized
by the stabilized linear Crank--Nicolson
scheme . . . . . . . . . . . . . . . . . ??
Arvind K. Saibaba and
Rachel Minster and
Misha E. Kilmer Efficient randomized tensor-based
algorithms for function approximation
and low-rank kernel interactions . . . . ??
Nan Jiang and
Huanhuan Yang Numerical investigation of two
second-order, stabilized SAV ensemble
methods for the Navier--Stokes equations ??
Thierry Bay and
Isabelle Cattiaux-Huillard and
Laura Saini Hermite interpolation by planar
cubic-like ATPH . . . . . . . . . . . . ??
Yabin Zhang and
Adrianna Gillman and
Shravan Veerapaneni A fast direct solver for integral
equations on locally refined boundary
discretizations and its application to
multiphase flow simulations . . . . . . ??
Vincent Coppé and
Daan Huybrechs Efficient function approximation on
general bounded domains using splines on
a Cartesian grid . . . . . . . . . . . . ??
Carlotta Giannelli and
Lorenzo Sacco and
Alessandra Sestini Interpolation of 3D data streams with $
C^2 $ PH quintic splines . . . . . . . . ??
David B. Stein and
Alex H. Barnett Quadrature by fundamental solutions:
kernel-independent layer potential
evaluation for large collections of
simple objects . . . . . . . . . . . . . ??
Markus Faustmann and
Jens Markus Melenk and
Maryam Parvizi $ {\mathcal {H}} $-matrix
approximability of inverses of FEM
matrices for the time-harmonic Maxwell
equations . . . . . . . . . . . . . . . ??
Mohamed Nasser and
Oona Rainio and
Antti Rasila and
Matti Vuorinen and
Terry Wallace and
Hang Yu and
Xiaohui Zhang Polycircular domains, numerical
conformal mappings, and moduli of
quadrilaterals . . . . . . . . . . . . . ??
Monika Nitsche Corrected trapezoidal rule for
near-singular integrals in axi-symmetric
Stokes flow . . . . . . . . . . . . . . ??
Khaled Bouadjila and
Ali Samir Saad and
Mazen Saad and
Wissal Mesfar Numerical analysis for two-phase flow
with non-equilibrium capillary pressure
in anisotropic porous media . . . . . . ??
Qianqian Ding and
Shipeng Mao and
Jiaao Sun Error estimates of $ H({\rm div})
$-conforming method for nonstationary
magnetohydrodynamic system . . . . . . . ??
Scott Congreve and
Paul Houston Two-grid hp-version discontinuous
Galerkin finite element methods for
quasilinear elliptic PDEs on
agglomerated coarse meshes . . . . . . . ??
Yasir Arfat and
Poom Kumam and
Muhammad Aqeel Ahmad Khan and
Parinya Sa Ngiamsunthorn An inertial extragradient algorithm for
equilibrium and generalized split null
point problems . . . . . . . . . . . . . ??
Yuga Iguchi and
Toshihiro Yamada Weak approximation of SDEs for tempered
distributions and applications . . . . . ??
Sergio Amat and
David Levin and
Juan Ruiz-Álvarez and
Dionisio F. Yáñez Explicit multivariate approximations
from cell-average data . . . . . . . . . ??
Tong Mao and
Ding-Xuan Zhou Approximation of functions from Korobov
spaces by deep convolutional neural
networks . . . . . . . . . . . . . . . . ??
El Mourabit Idriss and
Amine Laghrib and
Aissam Hadri and
Abdelilah Hakim A theoretical study of a bilateral term
with a tensor-based fourth-order PDE for
image super-resolution . . . . . . . . . ??
Dewei Cao and
Hu Chen Sharp error estimate of
Grünwald--Letnikov scheme for a
multi-term time fractional diffusion
equation . . . . . . . . . . . . . . . . ??
Cindy Guichard and
El Houssaine Quenjel Weighted positive nonlinear finite
volume method for dominated anisotropic
diffusive equations . . . . . . . . . . ??
Behnam Hashemi and
Yuji Nakatsukasa and
Lloyd N. Trefethen Rectangular eigenvalue problems . . . . ??
Tim De Ryck and
Siddhartha Mishra Error analysis for physics-informed
neural networks (PINNs) approximating
Kolmogorov PDEs . . . . . . . . . . . . ??
M. Arrutselvi and
E. Natarajan and
S. Natarajan Virtual element method for the
quasilinear
convection--diffusion--reaction equation
on polygonal meshes . . . . . . . . . . ??
Shuli Chen and
Daijun Jiang and
Haibing Wang Simultaneous identification of initial
value and source strength in a
transmission problem for a parabolic
equation . . . . . . . . . . . . . . . . ??
Luigi Brugnano and
Gianluca Frasca-Caccia and
Felice Iavernaro and
Vincenzo Vespri A new framework for polynomial
approximation to differential equations ??
Alexandra Würth and
Mickaël Binois and
Paola Goatin and
Simone Göttlich Data-driven uncertainty quantification
in macroscopic traffic flow models . . . ??
Simone Göttlich and
Thomas Schillinger Control strategies for transport
networks under demand uncertainty . . . ??
Tim Keil and
Hendrik Kleikamp and
Rolf J. Lorentzen and
Micheal B. Oguntola and
Mario Ohlberger Adaptive machine learning-based
surrogate modeling to accelerate
PDE-constrained optimization in enhanced
oil recovery . . . . . . . . . . . . . . ??
Xavier Claeys and
Francis Collino and
Emile Parolin Nonlocal optimized Schwarz methods for
time-harmonic electromagnetics . . . . . ??
Chaowen Zheng and
Zhuochao Tang and
Jingfang Huang and
Yichao Wu An $ O(N) $ algorithm for computing
expectation of $N$-dimensional truncated
multi-variate normal distribution II:
computing moments and sparse grid
acceleration . . . . . . . . . . . . . . ??
Gilbert Peralta Error estimates for mixed and hybrid FEM
for elliptic optimal control problems
with penalizations . . . . . . . . . . . ??
R. Campagna and
S. De Marchi and
E. Perracchione and
G. Santin Stable interpolation with
exponential-polynomial splines and node
selection via greedy algorithms . . . . ??
Huoyuan Duan and
Ziliang Li A mixed virtual element method for
nearly incompressible linear elasticity
equations . . . . . . . . . . . . . . . ??
F. Lepe and
D. Mora and
G. Rivera and
I. Velásquez A posteriori virtual element method for
the acoustic vibration problem . . . . . ??
Alessandro Alla and
Dante Kalise and
Valeria Simoncini State-dependent Riccati equation
feedback stabilization for nonlinear
PDEs . . . . . . . . . . . . . . . . . . ??
Yongle Zhang and
Guoyin Li and
Ting Kei Pong and
Shiqi Xu Retraction-based first-order feasible
methods for difference-of-convex
programs with smooth inequality and
simple geometric constraints . . . . . . ??
Tianyi Pu and
Marco Fasondini The numerical solution of fractional
integral equations via orthogonal
polynomials in fractional powers . . . . ??
Bai Siyu and
Huang Hongying Coupling of direct discontinuous
Galerkin method and natural boundary
element method for exterior interface
problems with curved elements . . . . . ??
El Mostafa Kalmoun and
Mohamed M. S. Nasser and
Matti Vuorinen Numerical computation of a preimage
domain for an infinite strip with
rectilinear slits . . . . . . . . . . . ??
Philipp Grohs and
Fabian Hornung and
Arnulf Jentzen and
Philipp Zimmermann Space-time error estimates for deep
neural network approximations for
differential equations . . . . . . . . . ??
Simon Hubbert and
Janin Jäger Generalised Wendland functions for the
sphere . . . . . . . . . . . . . . . . . ??
Yuqing Zhang and
Xiang Wang Unified construction and $ L^2 $
analysis for the finite volume element
method over tensorial meshes . . . . . . ??
Laura Girometti and
Alessandro Lanza and
Serena Morigi Ternary image decomposition with
automatic parameter selection via auto-
and cross-correlation . . . . . . . . . ??
Jun-Liang Fu and
Jijun Liu On the determination of the
spatial-dependent potential coefficient
in a linear pseudoparabolic equation . . ??
E. A. Spence A simple proof that the hp-FEM does
not suffer from the pollution effect for
the constant-coefficient full-space
Helmholtz equation . . . . . . . . . . . ??
Alessandro Buccini and
Lothar Reichel Limited memory restarted $ l^p$--$ l^q$
minimization methods using generalized
Krylov subspaces . . . . . . . . . . . . ??
Robert Schaback Small errors imply large evaluation
instabilities . . . . . . . . . . . . . ??
Yuning Yang and
Yunlong Feng Half-quadratic alternating direction
method of multipliers for robust
orthogonal tensor approximation . . . . ??
F. Lepe and
D. Mora and
G. Rivera and
I. Velásquez Correction: a posteriori virtual element
method for the acoustic vibration
problem . . . . . . . . . . . . . . . . ??
Martin W. Hess and
Annalisa Quaini and
Gianluigi Rozza A data-driven surrogate modeling
approach for time-dependent
incompressible Navier--Stokes equations
with dynamic mode decomposition and
manifold interpolation . . . . . . . . . ??
Elena Zappon and
Andrea Manzoni and
Alfio Quarteroni Efficient and certified solution of
parametrized one-way coupled problems
through DEIM-based data projection
across non-conforming interfaces . . . . ??
Yutong Jiang and
Gang Wu and
Long Jiang A semi-randomized Kaczmarz method with
simple random sampling for large-scale
linear systems . . . . . . . . . . . . . ??
Amir Averbuch and
Pekka Neittaanmäki and
Valery Zheludev Directional wavelet packets originating
from polynomial splines . . . . . . . . ??
David Krieg and
Pawe\l Siedlecki and
Mario Ullrich and
Henryk Wo\'zniakowski Exponential tractability of $ L_2
$-approximation with function values . . ??
Enrico Zampa and
Ana Alonso Rodríguez and
Francesca Rapetti Using the FES framework to derive new
physical degrees of freedom for finite
element spaces of differential forms . . ??
Pelin Çiloglu and
Hamdullah Yücel Stochastic discontinuous Galerkin
methods for robust deterministic control
of convection--diffusion equations with
uncertain coefficients . . . . . . . . . ??
Wei Gong and
Dongdong Liang and
Xiaoping Xie Pointwise error estimates for linear
finite element approximation to elliptic
Dirichlet problems in smooth domains . . ??
Tomasz Bochacik On the properties of the exceptional set
for the randomized Euler and
Runge--Kutta schemes . . . . . . . . . . ??
Sarah Locke Eskew and
John R. Singler A new approach to proper orthogonal
decomposition with difference quotients ??
Naresh Kumar Supercloseness analysis of a
stabilizer-free weak Galerkin finite
element method for viscoelastic wave
equations with variable coefficients . . ??
Xiaojie Wang Correction: Mean-square convergence
rates of implicit Milstein type methods
for SDEs with non-Lipschitz coefficients ??
Wenlin Qiu Optimal error estimate of an accurate
second-order scheme for Volterra
integrodifferential equations with
tempered multi-term kernels . . . . . . ??
Jonni Lohi New degrees of freedom for differential
forms on cubical meshes . . . . . . . . ??
Shan-Qi Duan and
Xue-Feng Duan and
Chun-Mei Li and
Jiao-Fen Li Riemannian conjugate gradient method for
low-rank tensor completion . . . . . . . ??
Mariantonia Cotronei and
Caroline Moosmüller and
Tomas Sauer and
Nada Sissouno Hermite multiwavelets for
manifold-valued data . . . . . . . . . . ??
Qiong-Ao Huang and
Wei Jiang and
Jerry Zhijian Yang and
Gengen Zhang Linear multi-step methods and their
numerical stability for solving gradient
flow equations . . . . . . . . . . . . . ??
Ben-Zion Vardi Hofit and
Dyn Nira and
Sharon Nir Geometric Hermite interpolation in $
\mathbb {R}^n $ by refinements . . . . . ??
Xiaojie Wang Mean-square convergence rates of
implicit Milstein type methods for SDEs
with non-Lipschitz coefficients . . . . ??
Leonardo A. Poveda and
Pedro Peixoto On pointwise error estimates for
Vorono\"\i-based finite volume methods
for the Poisson equation on the sphere ??
J. A. A. Andrade and
P. N. Rathie Exact posterior distribution for
nonconjugate Pareto models . . . . . . . ??
Meng Chen and
Rong Gao and
Yan He and
Linghua Kong Numerical analysis of the direct method
for 3D Maxwell's equation in Kerr-type
nonlinear media . . . . . . . . . . . . ??
Huaijun Yang and
Dongyang Shi Unconditionally superconvergent error
estimates of a linearized Galerkin
finite element method for the nonlinear
thermistor problem . . . . . . . . . . . ??
Olga Graf and
Felix Krahmer and
Sara Krause-Solberg One-bit Sigma--Delta modulation on the
circle . . . . . . . . . . . . . . . . . ??
Lionel Ouya Ndjansi and
Laurent Tchoualag An efficient computation of the inverse
of the single layer matrix for the
resolution of the linear elasticity
problem in BEM . . . . . . . . . . . . . ??
Guang-an Zou and
Xuyang Wang and
Jian Li An extrapolated Crank--Nicolson virtual
element scheme for the nematic liquid
crystal flows . . . . . . . . . . . . . ??
A. J. A. Ramos and
A. D. S. Campelo and
D. S. Almeida Júnior and
M. M. Freitas and
R. C. Barbosa Numerical exponential decay of
thermoelastic waves connected in
parallel . . . . . . . . . . . . . . . . ??
Jad Dakroub and
Joanna Faddoul and
Pascal Omnes and
Toni Sayah A posteriori error estimates for the
time-dependent Navier--Stokes system
coupled with the
convection--diffusion--reaction equation ??
Yijun Dong and
Per-Gunnar Martinsson Simpler is better: a comparative study
of randomized pivoting algorithms for
CUR and interpolative decompositions . . ??
Feng Bao and
Yanzhao Cao and
He Zhang Splitting scheme for backward doubly
stochastic differential equations . . . ??
Ramiro Acevedo and
Christian Gómez and
Paulo Navia Numerical analysis of nonlinear
degenerate parabolic problems with
application to eddy current models . . . ??
Jason Kaye and
Hugo U. R. Strand A fast time domain solver for the
equilibrium Dyson equation . . . . . . . ??
Ben Moseley and
Andrew Markham and
Tarje Nissen-Meyer Finite basis physics-informed neural
networks (FBPINNs): a scalable domain
decomposition approach for solving
differential equations . . . . . . . . . ??
Felipe Lepe Interior penalty discontinuous Galerkin
methods for the velocity-pressure
formulation of the Stokes spectral
problem . . . . . . . . . . . . . . . . ??
Federico Izzo and
Olof Runborg and
Richard Tsai High-order corrected trapezoidal rules
for a class of singular integrals . . . ??
Zhaojie Zhou and
Qiming Wang Adaptive finite element approximation of
optimal control problems with the
integral fractional Laplacian . . . . . ??
Sandra Merchel and
Bert Jüttler and
Dominik Mokris Adaptive and local regularization for
data fitting by tensor-product spline
surfaces . . . . . . . . . . . . . . . . ??
Simon Foucart Full recovery from point values: an
optimal algorithm for Chebyshev
approximability prior . . . . . . . . . ??
Robert Beinert and
Marzieh Hasannasab Phase retrieval and system
identification in dynamical sampling via
Prony's method . . . . . . . . . . . . . ??
Jian Li and
Jiyao Zeng and
Rui Li An adaptive discontinuous finite volume
element method for the Allen--Cahn
equation . . . . . . . . . . . . . . . . ??
Jan Giesselmann and
Elena Mäder-Baumdicker and
David Jakob Stonner A posteriori error estimates for wave
maps into spheres . . . . . . . . . . . ??
Shenglong Hu and
Yong Wang and
Jinling Zhou A DCA--Newton method for quartic
minimization over the sphere . . . . . . ??
J. M. Carnicer and
E. Mainar and
J. M. Peña On the stability of the representation
of finite rank operators . . . . . . . . ??
Zhan Yu and
Ding-Xuan Zhou Deep learning theory of distribution
regression with CNNs . . . . . . . . . . ??
Jia-Wei Lin and
Tiexiang Li and
Wen-Wei Lin and
Tsung-Ming Huang Ellipsoidal conformal and
area-/volume-preserving
parameterizations and associated optimal
mass transportations . . . . . . . . . . ??
Dajana Conte and
Gianluca Frasca-Caccia Exponentially fitted methods with a
local energy conservation law . . . . . ??
Oleg Davydov Error bounds for a least squares
meshless finite difference method on
closed manifolds . . . . . . . . . . . . ??
Philippe Jaming and
Martin Rathmair Uniqueness of phase retrieval from three
measurements . . . . . . . . . . . . . . ??
M. Ganesh and
F. Le Louër A high-order algorithm for time-domain
scattering in three dimensions . . . . . ??
Ryan Kohl and
Eduardo Corona and
Vani Cheruvu and
Shravan Veerapaneni Fast and accurate solvers for simulating
Janus particle suspensions in Stokes
flow . . . . . . . . . . . . . . . . . . ??
Shuaijun Liu and
Pengzhan Huang and
Yinnian He A second-order scheme based on blended
BDF for the incompressible MHD system ??
Xiao Qi and
Yanrong Zhang and
Chuanju Xu An efficient approximation to the
stochastic Allen--Cahn equation with
random diffusion coefficient field and
multiplicative noise . . . . . . . . . . ??
Daopeng Yin and
Yingying Xie and
Liquan Mei The stability and convergence analysis
of finite difference methods for the
fractional neutron diffusion equation ??
Oussama Landoulsi and
Svetlana Roudenko and
Kai Yang Interaction with an obstacle in the 2D
focusing nonlinear Schrödinger equation ??
Mark Tygert Calibration of $P$-values for
calibration and for deviation of a
subpopulation from the full population ??
Raymond Brummelhuis Convergence of non-stationary
semi-discrete RBF schemes for the heat
and wave equation . . . . . . . . . . . ??
Zhaojie Zhou and
Qiming Wang Correction to: Adaptive finite element
approximation of optimal control
problems with the integral fractional
Laplacian . . . . . . . . . . . . . . . ??
Alejandro N. Diaz and
Matthias Heinkenschloss and
Ion Victor Gosea and
Athanasios C. Antoulas Interpolatory model reduction of
quadratic-bilinear dynamical systems
with quadratic-bilinear outputs . . . . ??
Kewang Chen and
Cornelis Vuik Asymptotic convergence analysis and
influence of initial guesses on
composite Anderson acceleration . . . . ??
Alessia And\`o and
Dimitri Breda Piecewise orthogonal collocation for
computing periodic solutions of renewal
equations . . . . . . . . . . . . . . . ??
Davide Pradovera Toward a certified greedy Loewner
framework with minimal sampling . . . . ??
Robert Beinert Approximation of curve-based sleeve
functions in high dimensions . . . . . . ??
Claudio Canuto and
Davide Rosso A posteriori error analysis and
adaptivity for a VEM discretization of
the Navier--Stokes equations . . . . . . ??
Ting Li and
Bin Wang Continuous-stage adapted exponential
methods for charged-particle dynamics
with arbitrary magnetic fields . . . . . ??
Juan Antonio Barceló and
Carlos Castro and
Mari Cruz Vilela Live load matrix recovery from
scattering data in linear elasticity . . ??
Chiara Sorgentone and
Anna-Karin Tornberg Estimation of quadrature errors for
layer potentials evaluated near surfaces
with spherical topology . . . . . . . . ??
P. L. Butzer and
R. L. Stens The Butzer--Kozakiewicz article on
Riemann derivatives of 1954 and its
influence . . . . . . . . . . . . . . . ??
Niklas Angleitner and
Markus Faustmann and
Jens Markus Melenk $ \mathcal {H} $-inverses for RBF
interpolation . . . . . . . . . . . . . ??
Jiajun Zhan and
Liuqiang Zhong and
Jie Peng Iterative two-grid methods for
discontinuous Galerkin finite element
approximations of semilinear elliptic
problem . . . . . . . . . . . . . . . . ??
Xiaoxin Wu and
Weifeng Qiu and
Kejia Pan An unconditionally stable and $ L^2 $
optimal quadratic finite volume scheme
over triangular meshes for anisotropic
elliptic equations . . . . . . . . . . . ??
Dustin G. Mixon and
Daniel Packer Max filtering with reflection groups . . ??
Chao Zheng Multilevel Monte Carlo simulation for
the Heston stochastic volatility model ??
Jin Wen and
Zhi-Yuan Li and
Yong-Ping Wang Solving the backward problem for
time-fractional wave equations by the
quasi-reversibility regularization
method . . . . . . . . . . . . . . . . . ??
Anouar Ben-loghfyry and
Abdelilah Hakim A novel robust fractional-time
anisotropic diffusion for multi-frame
image super-resolution . . . . . . . . . ??
Cun-Qiang Miao and
Lan Cheng On flexible block Chebyshev--Davidson
method for solving symmetric generalized
eigenvalue problems . . . . . . . . . . ??
Shu Ma and
Jilu Wang and
Mingyan Zhang and
Zhimin Zhang Mass- and energy-conserving Gauss
collocation methods for the nonlinear
Schrödinger equation with a wave operator ??
Dhiraj Patel and
S. Sivananthan Random sampling of signals concentrated
on compact set in localized reproducing
kernel subspace of $ L^p(\mathbb {R}^n)
$ . . . . . . . . . . . . . . . . . . . ??
Gengen Zhang and
Chaolong Jiang Arbitrary high-order
structure-preserving methods for the
quantum Zakharov system . . . . . . . . ??
Wei Qu and
Yanbo Wang and
Xiaoyun Sun Matching pursuit with unbounded
parameter domains . . . . . . . . . . . ??
Xiu Ye and
Shangyou Zhang Order two superconvergence of the CDG
finite elements for non-self adjoint and
indefinite elliptic equations . . . . . ??
Bo Zheng and
Yueqiang Shang A three-step defect-correction
stabilized algorithm for incompressible
flows with non-homogeneous Dirichlet
boundary conditions . . . . . . . . . . ??
Jan-Frederik Pietschmann and
Ailyn Stötzner and
Max Winkler Numerical investigation of
agent-controlled pedestrian dynamics
using a structure-preserving finite
volume scheme . . . . . . . . . . . . . ??
Patrick Ciarlet, Jr. and
Erell Jamelot Variational methods for solving
numerically magnetostatic systems . . . ??
Thomas Bendokat and
Ralf Zimmermann and
P. -A. Absil A Grassmann manifold handbook: basic
geometry and computational aspects . . . ??
Mohammed Hachama and
Fatiha Boutaous A fractional osmosis model for image
fusion . . . . . . . . . . . . . . . . . ??
Shixi Wang and
Hai Bi and
Yidu Yang An adaptive FEM for the elastic
transmission eigenvalue problem with
different elastic tensors and different
mass densities . . . . . . . . . . . . . ??
Ljiljana Arambasi\'c and
Diana Stoeva Dual frames compensating for erasures-a
non-canonical case . . . . . . . . . . . ??
Sean Reiter and
Tobias Damm and
Mark Embree and
Serkan Gugercin On the balanced truncation error bound
and sign parameters from arrowhead
realizations . . . . . . . . . . . . . . ??
Wouter Tonnon and
Ralf Hiptmair Semi-Lagrangian finite element exterior
calculus for incompressible flows . . . ??
Robin Herkert and
Patrick Buchfink and
Bernard Haasdonk Dictionary-based online-adaptive
structure-preserving model order
reduction for parametric Hamiltonian
systems . . . . . . . . . . . . . . . . ??
Hongpeng Li and
Xu Li and
Hongxing Rui Analysis of a $ \varvec {P}_1 \oplus
\varvec {RT}_0 $ finite element method
for linear elasticity with Dirichlet and
mixed boundary conditions . . . . . . . ??
Clemens Karner and
Vladimir Kazeev and
Philipp Christian Petersen Limitations of neural network training
due to numerical instability of
backpropagation . . . . . . . . . . . . ??
Sergio Gómez and
Andrea Moiola A space-time DG method for the
Schrödinger equation with variable
potential . . . . . . . . . . . . . . . ??
Elena Zampieri and
Luca F. Pavarino Conditioning and spectral properties of
isogeometric collocation matrices for
acoustic wave problems . . . . . . . . . ??
Xuehai Huang and
Chao Zhang and
Yaqian Zhou and
Yangxing Zhu New low-order mixed finite element
methods for linear elasticity . . . . . ??
Peter Benner and
Serkan Gugercin and
Steffen W. R. Werner Structured interpolation for
multivariate transfer functions of
quadratic-bilinear systems . . . . . . . ??
Marie Billaud-Friess and
Arthur Macherey and
Anthony Nouy and
Clémentine Prieur A probabilistic reduced basis method for
parameter-dependent problems . . . . . . ??
Thomas Bendokat and
Ralf Zimmermann and
P. -A. Absil Correction: A Grassmann manifold
handbook: basic geometry and
computational aspects . . . . . . . . . ??
Xiao Ye and
Xiangcheng Zheng and
Jun Liu and
Yue Liu Numerical analysis for optimal quadratic
spline collocation method in two space
dimensions with application to nonlinear
time-fractional diffusion equation . . . ??
Yajie Yu and
Hanyu Li A block-randomized stochastic method
with importance sampling for CP tensor
decomposition . . . . . . . . . . . . . ??
Salman Ahmadi-Asl and
Anh-Huy Phan and
Cesar F. Caiafa and
Andrzej Cichocki Robust low tubal rank tensor recovery
using discrete empirical interpolation
method with optimized slice/feature
selection . . . . . . . . . . . . . . . ??
Ulrich Langer and
Olaf Steinbach and
Huidong Yang Robust space-time finite element methods
for parabolic distributed optimal
control problems with energy
regularization . . . . . . . . . . . . . ??
A. Bermúdez and
D. Gómez and
D. González Numerical simulation of resistance
furnaces by using distributed and lumped
models . . . . . . . . . . . . . . . . . ??
Ion Victor Gosea and
Serkan Gugercin and
Steffen W. R. Werner Structured barycentric forms for
interpolation-based data-driven reduced
modeling of second-order systems . . . . ??
Vincent Knibbeler Computing equivariant matrices on
homogeneous spaces for geometric deep
learning and automorphic Lie algebras ??
Alessandro Borghi and
Tobias Breiten $ \mathcal {H}_2 $ optimal rational
approximation on general domains . . . . ??
J. Thomas Beale and
Michael Storm and
Svetlana Tlupova The adjoint double layer potential on
smooth surfaces in $ \mathbb {R}^3 $ and
the Neumann problem . . . . . . . . . . ??
Weijun Zhan and
Yuyuan Li The improvement of the truncated
Euler--Maruyama method for non-Lipschitz
stochastic differential equations . . . ??
Vinesha Peiris and
Vera Roshchina and
Nadezda Sukhorukova Artificial neural networks with uniform
norm-based loss functions . . . . . . . ??
Anthony Nouy and
Alexandre Pasco Dictionary-based model reduction for
state estimation . . . . . . . . . . . . ??
Simone Brivio and
Stefania Fresca and
Nicola Rares Franco and
Andrea Manzoni Error estimates for POD--DL-ROMs: a deep
learning framework for reduced order
modeling of nonlinear parametrized PDEs
enhanced by proper orthogonal
decomposition . . . . . . . . . . . . . ??
Xuelong Gu and
Yushun Wang and
Wenjun Cai Energy stable and maximum bound
principle preserving schemes for the
Allen--Cahn equation based on the
Saul'yev methods . . . . . . . . . . . . ??
Leszek Demkowicz and
Jens M. Melenk and
Jacob Badger and
Stefan Henneking Stability analysis for electromagnetic
waveguides. Part 2: non-homogeneous
waveguides . . . . . . . . . . . . . . . ??
Tobias Ehring and
Bernard Haasdonk Hermite kernel surrogates for the value
function of high-dimensional nonlinear
optimal control problems . . . . . . . . ??
Julio Enrique Castrillón-Candás Spatial best linear unbiased prediction:
a computational mathematics approach for
high dimensional massive datasets . . . ??
David Berghaus and
Robert Stephen Jones and
Hartmut Monien and
Danylo Radchenko Computation of Laplacian eigenvalues of
two-dimensional shapes with dihedral
symmetry . . . . . . . . . . . . . . . . ??
Louis Lamérand and
Didier Auroux and
Philippe Ghendrih and
Francesca Rapetti and
Eric Serre Inverse problem for determining free
parameters of a reduced turbulent
transport model for tokamak plasma . . . ??
Hongchao Kang and
Qi Xu and
Guidong Liu Fast numerical integration of highly
oscillatory Bessel transforms with a
Cauchy type singular point and exotic
oscillators . . . . . . . . . . . . . . ??
Hong Zhang and
Gengen Zhang and
Ziyuan Liu and
Xu Qian and
Songhe Song On the maximum principle and high-order,
delay-free integrators for the viscous
Cahn--Hilliard equation . . . . . . . . ??
Pawan Goyal and
Igor Pontes Duff and
Peter Benner Dominant subspaces of high-fidelity
polynomial structured parametric
dynamical systems and model reduction ??
Huaijun Yang and
Meng Li Unconditional superconvergence analysis
of a structure-preserving finite element
method for the Poisson--Nernst--Planck
equations . . . . . . . . . . . . . . . ??
Tahar Z. Boulmezaoud and
Keltoum Kaliche Stray field computation by inverted
finite elements: a new method in
micromagnetic simulations . . . . . . . ??
Marta Benítez and
Alfredo Bermúdez and
Pedro Fontán and
Iván Martínez and
Pilar Salgado A Lagrangian approach for solving an
axisymmetric thermo-electromagnetic
problem. Application to time-varying
geometry processes . . . . . . . . . . . ??
Xinyue Gao and
Yi Qin and
Jian Li Optimally convergent mixed finite
element methods for the time-dependent
2D\slash 3D stochastic closed-loop
geothermal system with multiplicative
noise . . . . . . . . . . . . . . . . . ??
Shunfeng Yang and
Shuhuang Xiang Local behaviors of Fourier expansions
for functions of limited regularities ??
Marco Bernreuther and
Stefan Volkwein An adaptive certified space-time reduced
basis method for nonsmooth parabolic
partial differential equations . . . . . ??
Minghua Chen and
Weihua Deng and
Chao Min and
Jiankang Shi and
Martin Stynes Error analysis of a collocation method
on graded meshes for a fractional
Laplacian problem . . . . . . . . . . . ??
Fang Yang and
Jiecheng Chen and
Tao Qian and
Jiman Zhao A sparse approximation for fractional
Fourier transform . . . . . . . . . . . ??
Fanyi Yang and
Xiaoping Xie An unfitted finite element method with
direct extension stabilization for
time-harmonic Maxwell problems on smooth
domains . . . . . . . . . . . . . . . . ??
Joubine Aghili and
Olga Mula An optimal control framework for
adaptive neural ODEs . . . . . . . . . . ??
Daniel Potts and
Laura Weidensager Variable transformations in combination
with wavelets and ANOVA for
high-dimensional approximation . . . . . ??
Christoph Strössner and
Bonan Sun and
Daniel Kressner Approximation in the extended functional
tensor train format . . . . . . . . . . ??
Meiting Wang and
Guang-an Zou and
Jian Li A rotational pressure-correction
discontinuous Galerkin scheme for the
Cahn--Hilliard-Darcy--Stokes system . . ??
Jennifer Przybilla and
Igor Pontes Duff and
Peter Benner Semi-active damping optimization of
vibrational systems using the reduced
basis method . . . . . . . . . . . . . . ??
Jian Li and
Jiawei Gao and
Yi Qin An efficient rotational
pressure-correction schemes for 2D/3D
closed-loop geothermal system . . . . . ??
Daxin Nie and
Jing Sun and
Weihua Deng Numerical methods for forward fractional
Feynman--Kac equation . . . . . . . . . ??
Bing Tan and
Xiaolong Qin On relaxed inertial projection and
contraction algorithms for solving
monotone inclusion problems . . . . . . ??
Martin Hanke Stochastic modeling of stationary scalar
Gaussian processes in continuous time
from autocorrelation data . . . . . . . ??
J. Thomas Beale and
Svetlana Tlupova Extrapolated regularization of nearly
singular integrals on surfaces . . . . . ??
Hang Xu and
Song Li and
Junhong Lin Convergence of projected subgradient
method with sparse or low-rank
constraints . . . . . . . . . . . . . . ??
Ziqing Xie and
Shangyou Zhang On an accurate numerical integration for
the triangular and tetrahedral spectral
finite elements . . . . . . . . . . . . ??
Bingquan Ji and
Xuanxuan Zhou An adaptive time-stepping Fourier
pseudo-spectral method for the
Zakharov--Rubenchik equation . . . . . . ??
Terrence Alsup and
Tucker Hartland and
Benjamin Peherstorfer and
Noemi Petra Further analysis of multilevel Stein
variational gradient descent with an
application to the Bayesian inference of
glacier ice models . . . . . . . . . . . ??
Thomas Bonis and
Frédéric Chazal and
Bertrand Michel and
Wojciech Reise Topological phase estimation method for
reparameterized periodic functions . . . ??
Lei Lin and
Junliang Lv and
Shuxin Li An adaptive finite element DtN method
for the acoustic-elastic interaction
problem . . . . . . . . . . . . . . . . ??
Guidong Liu and
Wenjie Liu and
Beiping Duan Estimates for coefficients in Jacobi
series for functions with limited
regularity by fractional calculus . . . ??
Ioannis P. A. Papadopoulos and
Sheehan Olver A sparse spectral method for fractional
differential equations in one-spatial
dimension . . . . . . . . . . . . . . . ??
Guanhang Lei and
Lei Shi Pairwise ranking with Gaussian kernel ??
H. Zhang and
V. Rokhlin Finding roots of complex analytic
functions via generalized colleague
matrices . . . . . . . . . . . . . . . . ??
Lukas Herrmann and
Christoph Schwab and
Jakob Zech Neural and spectral operator surrogates:
unified construction and expression rate
bounds . . . . . . . . . . . . . . . . . ??
Fengshan Zhang and
Yongkui Zou and
Shimin Chai and
Yanzhao Cao Numerical analysis of a time discretized
method for nonlinear filtering problem
with Lévy process observations . . . . . ??
Mohan Zhao and
Kirill Serkh A continuation method for fitting a
bandlimited curve to points in the plane ??
Hong Zhu and
Xiaoxia Liu and
Lin Huang and
Zhaosong Lu and
Jian Lu and
Michael K. Ng Augmented Lagrangian method for tensor
low-rank and sparsity models in
multi-dimensional image recovery . . . . ??
Julian Koellermeier and
Philipp Krah and
Jonas Kusch Macro-micro decomposition for consistent
and conservative model order reduction
of hyperbolic shallow water moment
equations: a study using POD--Galerkin
and dynamical low-rank approximation . . ??
Zhengbang Cao and
Yimin Wei and
Pengpeng Xie Randomized GCUR decompositions . . . . . ??
Kui Du and
Jia-Jun Fan and
Xiao-Hui Sun and
Fang Wang and
Ya-Lan Zhang On Krylov subspace methods for
skew-symmetric and shifted
skew-symmetric linear systems . . . . . ??
Quirin Aumann and
Steffen W. R. Werner Adaptive choice of near-optimal
expansion points for interpolation-based
structure-preserving model reduction . . ??
Yang Linyi and
Zhang Lei-Hong and
Zhang Ya-Nan The $ L_q $-weighted dual programming of
the linear Chebyshev approximation and
an interior-point method . . . . . . . . ??
Ralf Zimmermann and
Kai Cheng Randomized greedy magic point selection
schemes for nonlinear model reduction ??
Gabriel Nóbrega Bufolo and
Yuri Dumaresq Sobral Analysis of the leapfrog-Verlet method
applied to the Kuwabara--Kono force
model in discrete element method
simulations of granular materials . . . ??
Jing Han and
Guangzhi Du Two-grid stabilized finite element
methods with backtracking for the
stationary Navier--Stokes equations . . ??
Mark D. Schubel and
Daniel Berwick-Evans and
Anil N. Hirani Averaging property of wedge product and
naturality in discrete exterior calculus ??
Alessandro Alla and
Agnese Pacifico and
Michele Palladino and
Andrea Pesare Online identification and control of
PDEs via reinforcement learning methods ??
Ana Alonso Rodríguez and
Jessika Camaño and
Eduardo De Los Santos and
Francesca Rapetti Weights for moments' geometrical
localization: a canonical isomorphism ??
Liyao Hao and
Wenyi Tian Analysis of a WSGD scheme for backward
fractional Feynman--Kac equation with
nonsmooth data . . . . . . . . . . . . . ??
Peter Benner and
Pawan Goyal Balanced truncation for
quadratic-bilinear control systems . . . ??
Pu-Ting Yu Frame-normalizable sequences . . . . . . ??
Anna Yesypenko and
Per-Gunnar Martinsson SlabLU: a two-level sparse direct solver
for elliptic PDEs . . . . . . . . . . . ??
Soura Sana and
Bankim C Mandal Convergence analysis of the
Dirichlet--Neumann Waveform Relaxation
algorithm for time fractional
sub-diffusion and diffusion-wave
equations in heterogeneous media . . . . ??
Bernard Kapidani and
Melina Merkel and
Sebastian Schöps and
Rafael Vázquez Arbitrary order spline representation of
cohomology generators for isogeometric
analysis of eddy current problems . . . ??
Xiaoxiao Ma and
Yingqing Xiao Computing eigenvalues of quasi-rational
Said--Ball--Vandermonde matrices . . . . ??
Devika Shylaja and
Sarvesh Kumar Morley type virtual element method for
von Kármán equations . . . . . . . . . . . ??
Dirk Pauly and
Rainer Picard Families of annihilating
skew-selfadjoint operators and their
connection to Hilbert complexes . . . . ??
Nicola Rares Franco and
Daniel Fraulin and
Andrea Manzoni and
Paolo Zunino On the latent dimension of deep
autoencoders for reduced order modeling
of PDEs parametrized by random fields ??
Desong Kong and
Jie Shen and
Li-Lian Wang and
Shuhuang Xiang Eigenvalue analysis and applications of
the Legendre dual-Petrov--Galerkin
methods for initial value problems . . . ??
Bin Han Interpolating refinable functions and $
n_s$-step interpolatory subdivision
schemes . . . . . . . . . . . . . . . . ??
Mengyu Wang and
Honghua Cui and
Hanyu Li SVD-based algorithms for tensor wheel
decomposition . . . . . . . . . . . . . ??
Johannes Rettberg and
Dominik Wittwar and
Patrick Buchfink and
Robin Herkert and
Jörg Fehr and
Bernard Haasdonk Improved a posteriori error bounds for
reduced port-Hamiltonian systems . . . . ??
Helmut Harbrecht and
Lukas Herrmann and
Kristin Kirchner and
Christoph Schwab Multilevel approximation of Gaussian
random fields: Covariance compression,
estimation, and spatial prediction . . . ??
Kenneth Allen and
Ming-Jun Lai and
Zhaiming Shen Maximal volume matrix cross
approximation for image compression and
least squares solution . . . . . . . . . ??
P. Robert Kotiuga and
Valtteri Lahtinen An electrical engineering perspective on
naturality in computational physics . . ??
Tianru Wang and
Yimin Wei A stochastic perturbation analysis of
the $ Q R $ decomposition and its
applications . . . . . . . . . . . . . . ??
Huoyuan Duan and
Roger C. E. Tan and
Duowei Zhu A pressure-residual augmented GLS
stabilized method for a type of Stokes
equations with nonstandard boundary
conditions . . . . . . . . . . . . . . . ??