Last update:
Fri Jun 7 18:22:03 MDT 2024
Claus Schneider Analysis of the linearly implicit
mid-point rule for
differential-algebraic equations . . . . 1--10
Gerard L. G. Sleijpen and
Diederik R. Fokkema BiCGstab$ (l) $ for linear equations
involving unsymmetric matrices with
complex spectrum . . . . . . . . . . . . 11--32
Gregory Ammar and
Peter Benner and
Volker Mehrmann A multishift algorithm for the numerical
solution of algebraic Riccati equations 33--48
Michael Eiermann and
Richard S. Varga Zeros and local extreme points of Faber
polynomials associated with
hypocycloidal domains . . . . . . . . . 49--71
Volker Mehrmann and
Werner Rath Numerical methods for the computation of
analytic singular value decompositions 72--88
Martin Hanke and
Marlis Hochbruck A Chebyshev-like semiiteration for
inconsistent linear systems . . . . . . 89--103
G. Csordas and
A. M. Odlyzko and
W. Smith and
R. S. Varga A new Lehmer pair of zeros and a new
lower bound for the de Bruijn--Newman
constant $ \Lambda $ . . . . . . . . . . 104--111
D. Calvetti and
L. Reichel and
D. C. Sorensen An implicitly restarted Lanczos method
for large symmetric eigenvalue problems 1--21
Barry Lee and
Manfred R. Trummer Multigrid conformal mapping via the
Szeg\Ho Kernel . . . . . . . . . . . . . 22--43
Raymond H. Chan and
James G. Nagy and
Robert J. Plemmons Displacement preconditioner for Toeplitz
least squares iterations . . . . . . . . 44--56
Rüdiger Weiss Minimization properties and short
recurrences for Krylov subspace methods 57--75
Ke Chen Efficient iterative solution of linear
systems from discretizing singular
integral equations . . . . . . . . . . . 76--91
T. M. Shih and
Junbin Gao Modified Specht's plate bending element
and its convergence analysis . . . . . . 92--103
Martin H. Gutknecht and
Marlis Hochbruck Look-ahead Levinson- and Schur-type
recurrences in the Padé table . . . . . . 104--129
C. Brezinski The generalizations of Newton's
interpolation formula due to Mühlbach and
Andoyer . . . . . . . . . . . . . . . . 130--137
J. J. Hench On the periodic quotient singular value
decomposition . . . . . . . . . . . . . 138--153
Michael K. Ng Fast iterative methods for solving
Toeplitz-plus-Hankel least squares
problems . . . . . . . . . . . . . . . . 154--170
Tony F. Chan and
Barry F. Smith Domain decomposition and multigrid
algorithms for elliptic problems on
unstructured meshes . . . . . . . . . . 171--182
Rafael Bru and
L. Elsner and
M. Neumann Convergence of infinite products of
matrices and inner-outer iteration
schemes . . . . . . . . . . . . . . . . 183--193
Peter Görtz and
Rudolf Scherer Reducibility and characterization of
symplectic Runge--Kutta methods . . . . 194--204
M. Van Barel and
A. Bultheel Orthonormal polynomial vectors and least
squares approximation for a discrete
inner product . . . . . . . . . . . . . 1--23
Rafael Bru and
Violeta Migallón and
José Penadés and
Daniel B. Szyld Parallel, synchronous and asynchronous
two-stage multisplitting methods . . . . 24--38
G. W. Stewart On graded QR decompositions of products
of matrices . . . . . . . . . . . . . . 39--49
Thomas A. Manteuffel and
Gerhard Starke and
Richard S. Varga Adaptive $k$-step iterative methods for
nonsymmetric systems of linear equations 50--65
Alan Krautstengl and
Richard S. Varga Minimal Gerschgorin sets for partitioned
matrices II. The spectral conjecture . . 66--82
Richard S. Varga and
Alan Krautstengl Minimal Gerschgorin sets for partitioned
matrices III. Sharpness of boundaries
and monotonicity as a function of the
partition . . . . . . . . . . . . . . . 83--95
Ann Sinap Gaussian quadrature for matrix valued
functions on the unit circle . . . . . . 96--115
James W. Demmel and
Inderjit Dhillon and
Huan Ren On the correctness of some
bisection-like parallel eigenvalue
algorithms in floating point arithmetic 116--149
Zhiqiang Cai and
Thomas A. Manteuffel and
Stephen F. McCormick First-order system least squares for
velocity-vorticity-pressure form of the
Stokes equations, with application to
linear elasticity . . . . . . . . . . . 150--159
Jocelyne Erhel A parallel GMRES version for general
sparse matrices . . . . . . . . . . . . 160--176
Robert Fuster and
Violeta Migallón and
José Penadés Non-stationary parallel multisplitting
AOR methods . . . . . . . . . . . . . . 1--13
Michael K. Ng and
Robert J. Plemmons LMS--Newton adaptive filtering using
FFT-based conjugate gradient iterations 14--36
K. Veseli\'c A note on the accuracy of symmetric
eigenreduction algorithms . . . . . . . 37--45
P. Levrie and
A. Bultheel Matrix continued fractions related to
first-order linear recurrence systems 46--63
Heike Faßbender A note on Newbery's algorithm for
discrete least-squares approximation by
trigonometric polynomials . . . . . . . 64--74
Mario A. Casarin and
Olof B. Widlund A preconditioner for the mortar finite
element method . . . . . . . . . . . . . 75--88
Volker Mehrmann and
Hongguo Xu An analysis of the pole placement
problem. I. The single-input case . . . 89--105
I. E. Pritsker Ray sequences of Laurent-type rational
functions . . . . . . . . . . . . . . . 106--124
D. Calvetti and
L. Reichel On the solution of Cauchy systems of
equations . . . . . . . . . . . . . . . 125--137
Peter Kunkel and
Volker Mehrmann Local and global invariants of linear
differential-algebraic equations and
their relation . . . . . . . . . . . . . 138--157
Y. D. Yang and
J. B. Gao Remarks on the Ciarlet--Raviart mixed
finite element . . . . . . . . . . . . . 158--164
Kai Diethelm An algorithm for the numerical solution
of differential equations of fractional
order . . . . . . . . . . . . . . . . . 1--6
Thomas Craven and
George Csordas On a converse of Laguerre's Theorem . . 7--17
Michael K. Ng Circulant preconditioners for
convolution-like integral equations with
higher-order quadrature rules . . . . . 18--28
David E. Stewart A new algorithm for the SVD of a long
product of matrices and the stability of
products . . . . . . . . . . . . . . . . 29--47
Andreas Frommer and
Hartmut Schwandt and
Daniel B. Szyld Asynchronous weighted additive Schwarz
methods . . . . . . . . . . . . . . . . 48--61
Vincent Heuveline and
Miloud Sadkane Arnoldi--Faber method for large non
Hermitian eigenvalue problems . . . . . 62--76
Volker Mehrmann and
Hongguo Xu An analysis of the pole placement
problem II. The multi-input case . . . . 77--97
Achi Brandt The Gauss Center research in multiscale
scientific computation . . . . . . . . . 1--34
Markus Berndt and
Thomas A. Manteuffel and
Stephen F. McCormick Local error estimates and adaptive
refinement for first-order system least
squares (FOSLS) . . . . . . . . . . . . 35--43
P. Bochev Experiences with negative norm
least-square methods for the
Navier--Stokes equations . . . . . . . . 44--62
Hans-Joachim Bungartz A multigrid algorithm for higher order
finite elements on sparse grids . . . . 63--77
Zhangxin Chen The analysis of intergrid transfer
operators and multigrid methods for
nonconforming finite elements . . . . . 78--96
J. E. Dendy, Jr. Semicoarsening multigrid for systems . . 97--105
Boris Diskin Multigrid algorithm with conditional
coarsening for the non-aligned sonic
flow . . . . . . . . . . . . . . . . . . 106--119
Scott R. Fulton A comparison of multilevel adaptive
methods for hurricane track prediction 120--132
R. Hiptmair Multigrid method for $ H(\hbox {div}) $
in three dimensions . . . . . . . . . . 133--152
Jules Kouatchou Asymptotic stability of a $9$-point
multigrid algorithm for
convection-diffusion equations . . . . . 153--161
A. Brandt and
I. Livshits Wave-ray multigrid method for standing
wave equations . . . . . . . . . . . . . 162--181
Dimitri J. Mavriplis Directional coarsening and smoothing for
anisotropic Navier--Stokes problems . . 182--197
W. J. Layton and
A. J. Meir and
P. G. Schmidt A two-level discretization method for
the stationary MHD equations . . . . . . 198--210
Anand L. Pardhanani and
William F. Spotz and
Graham F. Carey A stable multigrid strategy for
convection-diffusion using high order
compact discretization . . . . . . . . . 211--223
William F. Mitchell A parallel multigrid method using the
full domain partition . . . . . . . . . 224--233
Erik Sterner A multigrid smoother for high Reynolds
number flows . . . . . . . . . . . . . . 234--245
C. A. Thole and
S. Mayer and
A. Supalov Fast solution of MSC/NASTRAN sparse
matrix problems using a multilevel
approach . . . . . . . . . . . . . . . . 246--254
P. S. Vassilevski and
J. G. Wade A comparison of multilevel methods for
total variation regularization . . . . . 255--270
T. Washio and
C. W. Oosterlee Krylov subspace acceleration for
nonlinear multigrid schemes . . . . . . 271--290
Zhaojun Bai and
Qiang Ye Error estimation of the Padé
approximation of transfer functions via
the Lanczos process . . . . . . . . . . 1--17
Christopher Beattie Harmonic Ritz and Lehmann bounds . . . . 18--39
Chao Yang Convergence analysis of an inexact
truncated RQ-iteration . . . . . . . . . 40--55
Jean-Luc Fattebert A block Rayleigh quotient iteration with
local quadratic convergence . . . . . . 56--74
Gerard L. G. Sleijpen and
Henk A. van der Vorst and
Ellen Meijerink Efficient expansion of subspaces in the
Jacobi--Davidson method for standard and
generalized eigenproblems . . . . . . . 75--89
Karl Meerbergen A theoretical comparison between inner
products in the shift-invert Arnoldi
method and the spectral transformation
Lanczos method . . . . . . . . . . . . . 90--103
Andrew V. Knyazev Preconditioned eigensolvers --- an
oxymoron? . . . . . . . . . . . . . . . 104--123
J. Baglama and
D. Calvetti and
L. Reichel Fast Leja points . . . . . . . . . . . . 124--140
D. C. Sorensen Truncated QZ methods for large scale
generalized eigenvalue problems . . . . 141--162
Andreas Stathopoulos and
Yousef Saad Restarting techniques for the
(Jacobi--)Davidson symmetric eigenvalue
methods . . . . . . . . . . . . . . . . 163--181
D. P. Oleary and
G. W. Stewart On the convergence of a new Rayleigh
quotient method with applications to
large eigenproblems . . . . . . . . . . 182--189
V. Simoncini and
E. Gallopoulos Transfer functions and resolvent norm
approximation of large matrices . . . . 190--201
Kesheng Wu and
Yousef Saad and
Andreas Stathopoulos Inexact Newton preconditioning
techniques for large symmetric
eigenvalue problems . . . . . . . . . . 202--214
Luca F. Pavarino Domain decomposition algorithms for
first-order system least squares methods 1--14
Richard S. Varga and
Alan Krautstengl On Ger\vsgorin-type problems and ovals
of Cassini . . . . . . . . . . . . . . . 15--20
A. A. Dubrulle An optimum iteration for the matrix
polar decomposition . . . . . . . . . . 21--25
A. Björck and
J. Y. Yuan Preconditioners for least squares
problems by LU factorization . . . . . . 26--35
Manfred Dobrowolski and
Steffen Gräf and
Christoph Pflaum On a posteriori error estimators in the
finite element method on anisotropic
meshes . . . . . . . . . . . . . . . . . 36--45
Ingemar Persson and
Klas Samuelsson and
Anders Szepessy On the convergence of multigrid methods
for flow problems . . . . . . . . . . . 46--87
Michele Benzi and
Wayne Joubert and
Gabriel Mateescu Numerical experiments with parallel
orderings for ILU preconditioners . . . 88--114
Peter Benner and
Volker Mehrmann and
Hongguo Xu A note on the numerical solution of
complex Hamiltonian and skew-Hamiltonian
eigenvalue problems . . . . . . . . . . 115--126
Heinrich Voss Bounds for the minimum eigenvalue of a
symmetric Toeplitz matrix . . . . . . . 127--137
Ke Chen Discrete wavelet transforms accelerated
sparse preconditioners for dense
boundary element systems . . . . . . . . 138--153
V. Gradinaru and
R. Hiptmair Whitney elements on pyramids . . . . . . 154--168
María Álvarez de Morales and
Teresa E. Pérez and
Miguel A. Piñar and
André Ronveaux Non-standard orthogonality for Meixner
polynomials . . . . . . . . . . . . . . 1--25
G. S. Ammar and
D. Calvetti and
L. Reichel Computation of Gauss--Kronrod quadrature
rules with non-positive weights . . . . 26--38
F. Cala Rodriguez and
P. Gonzalez-Vera and
M. Jimenez Paiz Quadrature formulas for rational
functions . . . . . . . . . . . . . . . 39--52
Cecília Costa and
Rogério Serôdio A footnote on quaternion
block-tridiagonal systems . . . . . . . 53--55
Esther M. García-Caballero and
Teresa E. Pérez and
Miguel A. Piñar Sobolev orthogonal polynomials:
interpolation and approximation . . . . 56--64
Walter Gautschi Orthogonal polynomials and quadrature 65--76
Wolfram Koepf Software for the algorithmic work with
orthogonal polynomials and special
functions . . . . . . . . . . . . . . . 77--101
Miguel Lorente Creation and annihilation operators for
orthogonal polynomials of continuous and
discrete variables . . . . . . . . . . . 102--111
F. Marcellán and
J. C. Medem $Q$-classical orthogonal polynomials: a
very classical approach . . . . . . . . 112--127
P. Natalini and
S. Noschese and
P. E. Ricci An iterative method for computing the
eigenvalues of second kind Fredholm
operators and applications . . . . . . . 128--136
Javier Segura and
Amparo Gil Evaluation of associated Legendre
functions off the cut and parabolic
cylinder functions . . . . . . . . . . . 137--146
Doron Zeilberger Proof of a conjecture of Chan, Robbins,
and Yuen . . . . . . . . . . . . . . . . 147--148
Achi Brandt General highly accurate algebraic
coarsening . . . . . . . . . . . . . . . 1--20
Craig C. Douglas and
Jonathan Hu and
Markus Kowarschik and
Ulrich Rüde and
Christian Weiss Cache optimization for structured and
unstructured grid multigrid . . . . . . 21--40
Gundolf Haase A parallel AMG for overlapping and
non-overlapping domain decomposition . . 41--55
Johannes Korsawe and
Gerhard Starke Multilevel projection methods for
nonlinear least-squares finite element
computations . . . . . . . . . . . . . . 56--73
Michael Pernice A hybrid multigrid method for the
steady-state incompressible
Navier--Stokes equations . . . . . . . . 74--91
Ignacio M. Llorente and
N. Duane Melson Behavior of plane relaxation methods as
multigrid smoothers . . . . . . . . . . 92--114
Jun Zhang On preconditioning Schur complement and
Schur complement preconditioning . . . . 115--130
Andrea Toselli Neumann--Neumann methods for vector
field problems . . . . . . . . . . . . . 1--24
M. E. Cawood and
C. L. Cox Perturbation analysis for eigenstructure
assignment of linear multi-input systems 25--42
Barbara I. Wohlmuth A multigrid method for saddle point
problems arising from mortar finite
element discretizations . . . . . . . . 43--54
Stefano Serra Capizzano and
Cristina Tablino Possio High-order finite difference schemes and
Toeplitz based preconditioners for
elliptic problems . . . . . . . . . . . 55--84
Peter Benner and
Ralph Byers and
Heike Fassbender and
Volker Mehrmann and
David Watkins Cholesky-like factorizations of
skew-symmetric matrices . . . . . . . . 85--93
Peter Benner and
Ralph Byers and
Heike Fassbender and
Volker Mehrmann and
David Watkins Addendum to Cholesky-like factorizations
of skew-symmetric matrices . . . . . . . 93A
Kendall Atkinson and
David Da-Kwun Chien and
Jaehoon Seol Numerical analysis of the radiosity
equation using the collocation method 94--120
R. Gutiérrez and
J. Rodriguez and
A. J. Sáez Approximation of hypergeometric
functions with matricial argument
through their development in series of
zonal polynomials . . . . . . . . . . . 121--130
Christopher T. H. Baker and
Evelyn Buckwar Continuous $ \Theta $-methods for the
stochastic pantograph equation . . . . . 131--151
Gérard Meurant Numerical experiments with algebraic
multilevel preconditioners . . . . . . . 1--65
Hong Zhang Numerical condition of polynomials in
different forms . . . . . . . . . . . . 66--87
M. Jesús Castel and
Violeta Migallón and
José Penadés On parallel two-stage methods for
Hermitian positive definite matrices
with applications to preconditioning . . 88--112
Richard S. Varga Ger\vsgorin-type eigenvalue inclusion
theorems and their sharpness . . . . . . 113--133
Faker Ben Belgacem and
Susanne C. Brenner Some nonstandard finite element
estimates with applications to $3$D
Poisson and Signorini problems . . . . . 134--148
S. Ehrich and
A. Rathsfeld Piecewise linear wavelet collocation,
approximation of the boundary manifold,
and quadrature . . . . . . . . . . . . . 149--192
Jing-Bo Chen and
Meng-Zhao Qin Multi-symplectic Fourier pseudospectral
method for the nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 193--204
Bernd Fischer and
Franz Peherstorfer Chebyshev approximation via polynomial
mappings and the convergence behaviour
of Krylov subspace methods . . . . . . . 205--215
A. A. Dubrulle Retooling the method of block conjugate
gradients . . . . . . . . . . . . . . . 216--233
Edward J. McDonald and
Desmond J. Higham Error analysis of QR algorithms for
computing Lyapunov exponents . . . . . . 234--251
Dirk Wollstein and
Torsten Linss and
Hans-Görg Roos A uniformly accurate finite volume
discretization for a
convection-diffusion problem . . . . . . 1--11
S. B. Damelin The asymptotic distribution of general
interpolation arrays for exponential
weights . . . . . . . . . . . . . . . . 12--21
James G. Nagy and
Dianne P. O'Leary Image restoration through subimages and
confidence images . . . . . . . . . . . 22--37
Pierre Spiteri and
Jean-Claude Miellou and
Didier El Baz Perturbation of parallel asynchronous
linear iterations by floating point
errors . . . . . . . . . . . . . . . . . 38--55
Zden\vek Strako\vs and
Petr Tichý On error estimation in the conjugate
gradient method and why it works in
finite precision computations . . . . . 56--80
Thomas Huckle and
Jochen Staudacher Multigrid preconditioning and Toeplitz
matrices . . . . . . . . . . . . . . . . 81--105
Volker Mehrmann and
David Watkins Polynomial eigenvalue problems with
Hamiltonian structure . . . . . . . . . 106--118
Walter Gautschi The interplay between classical analysis
and (numerical) linear algebra --- a
tribute to Gene H. Golub . . . . . . . . 119--147
Bernhard Beckermann and
Arno B. J. Kuijlaars Superlinear CG convergence for special
right-hand sides . . . . . . . . . . . . 1--19
D. Calvetti and
P. C. Hansen and
L. Reichel $L$-curve curvature bounds via Lanczos
bidiagonalization . . . . . . . . . . . 20--35
Franz-Jürgen Delvos Uniform approximation by minimum norm
interpolation . . . . . . . . . . . . . 36--44
Brigitte Forster An algorithm for nonharmonic signal
analysis using Dirichlet series on
convex polygons . . . . . . . . . . . . 45--55
W. Freeden and
T. Maier On multiscale denoising of spherical
functions: basic theory and numerical
aspects . . . . . . . . . . . . . . . . 56--78
P. Junghanns and
A. Rathsfeld A polynomial collocation method for
Cauchy singular integral equations over
the interval . . . . . . . . . . . . . . 79--126
F. Marcellán and
H. O. Yakhlef Recent trends on analytic properties of
matrix orthonormal polynomials . . . . . 127--141
G. Mastroianni Polynomial inequalities, functional
spaces and best approximation on the
real semiaxis with Laguerre weights . . 142--151
Gerhard Schmeisser Bounds for Vandermonde type determinants
of orthogonal polynomials . . . . . . . 152--164
Kathi K. Selig Uncertainty principles revisited . . . . 165--177
Frauke Sprengel Comparing multilevel coarsening
strategies . . . . . . . . . . . . . . . 178--194
Herbert Stahl Asymptotics for quadratic Hermite--Padé
polynomials associated with the
exponential function . . . . . . . . . . 195--222
Krzysztof Stempak On convergence and divergence of
Fourier--Bessel series . . . . . . . . . 223--235
U. M. Ascher and
E. Haber A multigrid method for distributed
parameter estimation problems . . . . . 1--17
Craig C. Douglas and
Gundolf Haase and
Mohamed Iskandarani An additive Schwarz preconditioner for
the spectral element ocean model
formulation of the shallow water
equations . . . . . . . . . . . . . . . 18--28
Scott R. Fulton On the accuracy of multigrid truncation
error estimates . . . . . . . . . . . . 29--37
Andrew V. Knyazev and
Klaus Neymeyr Efficient solution of symmetric
eigenvalue problems using multigrid
preconditioners in the locally optimal
block conjugate gradient method . . . . 38--55
Jan Mandel Local approximation estimators for
algebraic multigrid . . . . . . . . . . 56--65
Malik Silva Cache aware data laying for the
Gauss--Seidel smoother . . . . . . . . . 66--77
Linda Stals Comparison of non-linear solvers for the
solution of radiation transport
equations . . . . . . . . . . . . . . . 78--93
Janne Martikainen and
Tuomo Rossi and
Jari Toivanen Multilevel preconditioners for Lagrange
multipliers in domain imbedding . . . . 94--105
Gene Poole and
Yong-Cheng Liu and
Jan Mandel Advancing analysis capabilities in ANSYS
through solver technology . . . . . . . 106--121
Michael Bader and
Christoph Zenger A robust and parallel multigrid method
for convection diffusion equations . . . 122--131
B. Chang and
B. Lee A multigrid algorithm for solving the
multi-group, anisotropic scattering
Boltzmann equation using first-order
system least-squares methodology . . . . 132--151
Sandra Nägele and
Gabriel Wittum Large-eddy simulation and multigrid
methods . . . . . . . . . . . . . . . . 152--164
C. W. Oosterlee On multigrid for linear complementarity
problems with application to
American-style options . . . . . . . . . 165--185
Pavel B. Bochev and
Jonathan J. Hu and
Allen C. Robinson and
Raymond S. Tuminaro Towards robust $3$D $Z$-pinch
simulations: discretization and fast
solvers for magnetic diffusion in
heterogeneous conductors . . . . . . . . 186--210
Paul A. Farrell and
Hong Ong Factors involved in the performance of
computations on Beowulf clusters . . . . 211--224
Stefano Serra Capizzano and
Cristina Tablino Possio Preconditioning strategies for $2$D
finite difference matrix sequences . . . 1--29
Doron Chen and
Sivan Toledo Vaidya's preconditioners: implementation
and experimental study . . . . . . . . . 30--49
Henri Schurz General theorems for numerical
approximation of stochastic processes on
the Hilbert space $ H_2 ([0, T], \mu,
R^d) $ . . . . . . . . . . . . . . . . . 50--69
Martin Böhme and
Daniel Potts A fast algorithm for filtering and
wavelet decomposition on the sphere . . 70--93
Heinrich Voss A rational spectral problem in
fluid-solid vibration . . . . . . . . . 94--106
Limin Wu A parameter choice method for Tikhonov
regularization . . . . . . . . . . . . . 107--128
A. El Guennouni and
K. Jbilou and
H. Sadok A block version of BiCGSTAB for linear
systems with multiple right-hand sides 129--142
J. Illán A quadrature formula of rational type
for integrands with one endpoint
singularity . . . . . . . . . . . . . . 143--164
Susanne C. Brenner Analysis of two-dimensional FETI-DP
preconditioners by the standard additive
Schwarz framework . . . . . . . . . . . 165--185
Francisco Luengo and
Marcos Raydan Gradient method with dynamical retards
for large-scale optimization problems 186--193
Panayiotis J. Psarrakos On the estimation of the $q$-numerical
range of monic matrix polynomials . . . 1--10
P. Junghanns and
A. Rogozhin Collocation methods for Cauchy singular
integral equations on the interval . . . 11--75
M. Gu and
L. Miranian Strong rank revealing Cholesky
factorization . . . . . . . . . . . . . 76--92
María G. Armentano and
Ricardo G. Durán Asymptotic lower bounds for eigenvalues
by nonconforming finite element methods 93--101
Götz Alefeld and
Andreas Frommer and
Gerhard Heindl and
Jan Mayer On the existence theorems of
Kantorovich, Miranda and Borsuk . . . . 102--111
Jie Zhao Convergence of $V$-cycle and $F$-cycle
multigrid methods for the biharmonic
problem using the Morley element . . . . 112--132
Kendall Atkinson Quadrature of singular integrands over
surfaces . . . . . . . . . . . . . . . . 133--150
C. He and
B. Meini and
N. H. Rhee and
K. Sohraby A quadratically convergent
Bernoulli-like algorithm for solving
matrix polynomial equations in Markov
chains . . . . . . . . . . . . . . . . . 151--167
Markus Hegland and
Ole M. Nielsen and
Zuowei Shen Multidimensional smoothing using
hyperbolic interpolatory wavelets . . . 168--180
Martin J. Gander A frequency decomposition waveform
relaxation algorithm for semilinear
evolution equations . . . . . . . . . . 181--194
Dario A. Bini and
Luca Gemignani and
Victor Y. Pan Improved initialization of the
accelerated and robust QR-like
polynomial root-finding . . . . . . . . 195--205
Kendall Atkinson and
Weimin Han On the numerical solution of some
semilinear elliptic problems . . . . . . 206--217
Gabriel N. Gatica A note on the efficiency of
residual-based a-posteriori error
estimators for some mixed finite element
methods . . . . . . . . . . . . . . . . 218--233
Albrecht Böttcher Transient behavior of powers and
exponentials of large Toeplitz matrices 1--41
Susanne C. Brenner Discrete Sobolev and Poincaré
inequalities for piecewise polynomial
functions . . . . . . . . . . . . . . . 42--48
Daniele Bertaccini Efficient preconditioning for sequences
of parametric complex symmetric linear
systems . . . . . . . . . . . . . . . . 49--64
Boris Shekhtman On Hermite interpolation in $ R_d $ . . 65--72
Ljiljana Cvetkovic and
Vladimir Kostic and
Richard S. Varga A new Ger\vshgorin-type eigenvalue
inclusion set . . . . . . . . . . . . . 73--80
Anne Greenbaum Some theoretical results derived from
polynomial numerical hulls of Jordan
blocks . . . . . . . . . . . . . . . . . 81--90
Uwe Luther and
Karla Rost Matrix exponentials and inversion of
confluent Vandermonde matrices . . . . . 91--100
M. Isabel Bueno and
Froilán M. Dopico Stability and sensivity of Darboux
transformation without parameter . . . . 101--136
Dario A. Bini and
Francesco Daddi and
Luca Gemignani On the shifted QR iteration applied to
companion matrices . . . . . . . . . . . 137--152
Daniela Calvetti and
Bryan Lewis and
Lothar Reichel and
Fiorella Sgallari Tikhonov regularization with
nonnegativity constraint . . . . . . . . 153--173
Mihai Anitescu and
Faranak Pahlevani and
William J. Layton Implicit for local effects and explicit
for nonlocal effects is unconditionally
stable . . . . . . . . . . . . . . . . . 174--187
Ana Marco and
José-Javier Martínez A new source of structured singular
value decomposition problems . . . . . . 188--197
J. M. Peña LDU decompositions with L and U well
conditioned . . . . . . . . . . . . . . 198--208
A. B. J. Kuijlaars and
A. Martínez-Finkelshtein and
R. Orive Orthogonality of Jacobi polynomials with
general parameters . . . . . . . . . . . 1--17
A. Martínez-Finkelshtein and
P. Martínez-González and
R. Orive Asymptotics of polynomial solutions of a
class of generalized Lamé differential
equations . . . . . . . . . . . . . . . 18--28
M. Bello Hernández and
J. Mínguez Ceniceros Asymptotics for extremal polynomials
with varying measures . . . . . . . . . 29--36
A. Garrido and
J. Arvesú and
F. Marcellán An electrostatic interpretation of the
zeros of the Freud-type orthogonal
polynomials . . . . . . . . . . . . . . 37--47
Leyla Daruis and
Olav Njåstad and
Walter Van Assche Szeg\Ho quadrature and frequency
analysis . . . . . . . . . . . . . . . . 48--57
Chelo Ferreira and
José L. López and
Esmeralda Mainar and
Nico M. Temme Asymptotic approximations of integrals:
an introduction, with recent
developments and applications to
orthogonal polynomials . . . . . . . . . 58--83
Noemí Laín Fernández Localized polynomial bases on the sphere 84--93
Sergey Tikhonov Characteristics of Besov--Nikol'ski\uì
class of functions . . . . . . . . . . . 94--104
Venancio Tomeo and
Emilio Torrano Three cases of normality of Hessenberg's
matrix related with atomic complex
distributions . . . . . . . . . . . . . 105--112
Ruymán Cruz-Barroso and
Pablo González-Vera Orthogonal Laurent polynomials and
quadratures on the unit circle and the
real half-line . . . . . . . . . . . . . 113--134
Drahoslava Janovská and
Gerhard Opfer Fast Givens transformation for
quaternion valued matrices applied to
Hessenberg reductions . . . . . . . . . 1--26
Henri Schurz Stability of numerical methods for
ordinary stochastic differential
equations along Lyapunov-type and other
functions with variable step sizes . . . 27--49
Daniel Kressner On the use of larger bulges in the QR
algorithm . . . . . . . . . . . . . . . 50--63
M. A. Navascues Fractal trigonometric approximation . . 64--74
Na Li and
Yousef Saad Crout versions of ILU factorization with
pivoting for sparse symmetric matrices 75--85
Igor Boglaev Uniform convergence of monotone
iterative methods for semilinear
singularly perturbed problems of
elliptic and parabolic types . . . . . . 86--103
Kendall Atkinson and
Alvise Sommariva Quadrature over the sphere . . . . . . . 104--118
K. Jbilou and
H. Sadok and
A. Tinzefte Oblique projection methods for linear
systems with multiple right-hand sides 119--138
Johnathan M. Bardsley A nonnegatively constrained trust region
algorithm for the restoration of images
with an unknown blur . . . . . . . . . . 139--153
Shipeng Mao and
Shaochun Chen Convergence analysis of the rotated $
Q_1 $ element on anisotropic rectangular
meshes . . . . . . . . . . . . . . . . . 154--163
Xuemin Tu A BDDC algorithm for a mixed formulation
of flow in porous media . . . . . . . . 164--179
Jörg Liesen and
Petr Tichý On the worst-case convergence of MR and
CG for symmetric positive definite
tridiagonal Toeplitz matrices . . . . . 180--197
P. G. Novario Recursive computation of certain
integrals of elliptic type . . . . . . . 198--211
James V. Lambers Krylov subspace spectral methods for
variable-coefficient initial-boundary
value problems . . . . . . . . . . . . . 212--234
Michiel E. Hochstenbach Generalizations of harmonic and refined
Rayleigh--Ritz . . . . . . . . . . . . . 235--252
Glenn Appleby and
Dennis C. Smolarski A linear acceleration row action method
for projecting onto subspaces . . . . . 253--275
Alex Pothen Dedication to Alan George . . . . . . . vii--xviii
Stanley C. Eisenstat and
Joseph W. H. Liu A tree-based dataflow model for the
unsymmetric multifrontal method . . . . 1--19
Dianne P. O'Leary and
Stephen S. Bullock QR factorizations using a restricted set
of rotations . . . . . . . . . . . . . . 20--27
Doron Chen and
John R. Gilbert and
Sivan Toledo Obtaining bounds on the two norm of a
matrix from the splitting lemma . . . . 28--46
Rob H. Bisseling and
Wouter Meesen Communication balancing in parallel
sparse matrix-vector multiplication . . 47--65
Ioana Banicescu and
Ricolindo L. Cariño Addressing the stochastic nature of
scientific computations via dynamic loop
scheduling . . . . . . . . . . . . . . . 66--80
Elad Rozin and
Sivan Toledo Locality of reference in sparse Cholesky
factorization methods . . . . . . . . . 81--106
Ali Pinar and
Virginia Vassilevska Finding nonoverlapping substructures of
a sparse matrix . . . . . . . . . . . . 107--124
Ulrich Elsner The influence of random number
generators on graph partitioning
algorithms . . . . . . . . . . . . . . . 125--133
Uwe Naumann and
Jean Utke Optimality-preserving elimination of
linearities in Jacobian accumulation . . 134--150
M. R. Hanisch Two-level additive Schwarz
preconditioners for fourth-order mixed
methods . . . . . . . . . . . . . . . . 1--16
M. Arioli and
J. Mary\vska and
M. Rozlo\vzník and
M. T\ocircuma Dual variable methods for mixed-hybrid
finite element approximation of the
potential fluid flow problem in porous
media . . . . . . . . . . . . . . . . . 17--40
M. Arioli and
G. Manzini A network programming approach in
solving Darcy's equations by mixed
finite-element methods . . . . . . . . . 41--70
E. J. Dean and
R. Glowinski An augmented Lagrangian approach to the
numerical solution of the Dirichlet
problem for the elliptic Monge--Amp\`ere
equation in two dimensions . . . . . . . 71--96
P. B. Bochev and
R. B. Lehoucq Regularization and stabilization of
discrete saddle-point variational
problems . . . . . . . . . . . . . . . . 97--113
Chen Greif and
Dominik Schötzau Preconditioners for saddle point linear
systems with highly singular $ (1, 1) $
blocks . . . . . . . . . . . . . . . . . 114--121
Ali Pinar and
Edmond Chow and
Alex Pothen Combinatorial algorithms for computing
column space bases that have sparse
inverses . . . . . . . . . . . . . . . . 122--145
Feng-Nan Hwang and
Xiao-Chuan Cai Parallel fully coupled Schwarz
preconditioners for saddle point
problems . . . . . . . . . . . . . . . . 146--162
Chris Siefert and
Eric de Sturler Probing methods for saddle-point
problems . . . . . . . . . . . . . . . . 163--183
David S. Watkins A case where balancing is harmful . . . 1--4
Alexander Malyshev and
Miloud Sadkane Condition numbers of the Krylov bases
and spaces associated with the truncated
QZ iteration . . . . . . . . . . . . . . 5--14
Antonija Duvnjak and
Hermann J. Eberl Time-discretization of a degenerate
reaction-diffusion equation arising in
biofilm modeling . . . . . . . . . . . . 15--37
Serge Nicaise and
Emmanuel Creusé Isotropic and anisotropic a posteriori
error estimation of the mixed finite
element method for second order
operators in divergence form . . . . . . 38--62
Toshihiro Yamamoto Toward the Sinc--Galerkin method for the
Poisson problem in one type of
curvilinear coordinate domain . . . . . 63--75
L. Bergamaschi and
R. Bru and
A. Martínez and
M. Putti Quasi-Newton preconditioners for the
inexact Newton method . . . . . . . . . 76--87
Michael H. Hohn Solution of singular elliptic PDEs on a
union of rectangles using sinc methods 88--104
Wayne Joubert and
Jane Cullum Scalable algebraic multigrid on $ 3500 $
processors . . . . . . . . . . . . . . . 105--128
Mohamed El-Gamel The Sinc--Galerkin method for solving
singularly-perturbed reaction-diffusion
problem . . . . . . . . . . . . . . . . 129--140
David S. Watkins On the reduction of a Hamiltonian matrix
to Hamiltonian Schur form . . . . . . . 141--157
Olaf Schenk and
Klaus Gärtner On fast factorization pivoting methods
for sparse symmetric indefinite systems 158--179
M. K. Kadalbajoo and
K. K. Sharma Parameter-uniform fitted mesh method for
singularly perturbed delay differential
equations with layer behavior . . . . . 180--201
Kenshu Shimomukai and
Hidesada Kanda Numerical study of normal pressure
distribution in entrance flow between
parallel plates, I. Finite difference
calculations . . . . . . . . . . . . . . 202--218
Kendall Atkinson and
David Chien A study of the fast solution of the
occluded radiosity equation . . . . . . 219--250
Ahmad Reza Naghsh-Nilchi and
Shahram Daroee Iterative sinc-convolution method for
solving radiosity equation in computer
graphics . . . . . . . . . . . . . . . . 251--262
Oren E. Livne and
Grady B. Wright Fast multilevel evaluation of smooth
radial basis function expansions . . . . 263--287
Iliya A. Brayanov Uniformly convergent difference scheme
for singularly perturbed problem of
mixed type . . . . . . . . . . . . . . . 288--303
Mario Götz On extremal problems related to inverse
balayage . . . . . . . . . . . . . . . . 304--319
Toshihiro Yamamoto Approximation of the Hilbert transform
via use of sinc convolution . . . . . . 320--328
Yoshinori Miyazaki and
Nobuyoshi Asai and
Dongsheng Cai and
Yasuhiko Ikebe Numerical computation of the eigenvalues
for the spheroidal wave equation with
accurate error estimation by matrix
method . . . . . . . . . . . . . . . . . 329--338
Eva Acosta Orthogonal least squares solutions for
linear operators . . . . . . . . . . . . 1--6
R. Álvarez-Nodarse and
J. L. Cardoso and
N. R. Quintero On recurrence relations for radial wave
functions for the $N$-th dimensional
oscillators and hydrogenlike atoms:
analytical and numerical study . . . . . 7--23
Jorge Arvesú Quantum algebras su$_q(2)$ and su$_q(1,
1)$ associated with certain $q$-Hahn
polynomials: a revisited approach . . . 24--44
Nicolae Cotfas Systems of orthogonal polynomials
defined by hypergeometric type equations 45--54
M. Isabel Bueno and
Francisco Marcellán and
Jorge Sánchez-Ruiz Continuous symmetrized Sobolev inner
products of order $ N(I I) $ . . . . . . 55--65
Igor Fedotov and
Steve Joubert and
Julian Marais and
Michael Shatalov Another approach to vibration analysis
of stepped structures . . . . . . . . . 66--73
Alexander Rozenblyum $q$-orthogonal polynomials related to
the quantum group $ U_q(s o(5))$ . . . . 74--78
C. Escribano and
M. A. Sastre and
E. Torrano Moment matrix of self-similar measures 79--87
José M. Rodríguez and
Venancio Álvarez and
Elena Romera and
Domingo Pestana Generalized weighted Sobolev spaces and
applications to Sobolev orthogonal
polynomials: a survey . . . . . . . . . 88--93
Michael Schlosser Noncommutative extensions of Ramanujan's
$_1 \psi_1$ summation . . . . . . . . . 94--102
Ana Portilla and
Yamilet Quintana and
José M. Rodríguez and
Eva Tourís Weierstrass' theorem in weighted Sobolev
spaces with $k$ derivatives:
announcement of results . . . . . . . . 103--107
N. M. Atakishiyev and
U. Klimyk Duality of $q$-polynomials, orthogonal
on countable sets of points . . . . . . 108--180
Len Bos and
Marco Caliari and
Stefano De Marchi and
Marco Vianello Bivariate interpolation at Xu points:
results, extensions and applications . . 1--16
Vladimir S. Chelyshkov Alternative orthogonal polynomials and
quadratures . . . . . . . . . . . . . . 17--26
D. Benko and
S. B. Damelin and
P. D. Dragnev On the support of the equilibrium
measure for arcs of the unit circle and
for real intervals . . . . . . . . . . . 27--40
L. Baratchart and
J. Leblond and
J.-P. Marmorat Inverse source problem in a $3$D ball
from best meromorphic approximation on
$2$D slices . . . . . . . . . . . . . . 41--53
L. Baratchart A remark on uniqueness of best rational
approximants of degree $1$ in $ L^2$ of
the circle . . . . . . . . . . . . . . . 54--66
Wolfgang Dahmen and
Markus Jürgens Error controlled regularization by
projection . . . . . . . . . . . . . . . 67--100
M. Ganesh and
H. N. Mhaskar Quadrature-free quasi-interpolation on
the sphere . . . . . . . . . . . . . . . 101--114
K. A. Driver and
S. J. Johnston An integral representation of some
hypergeometric functions . . . . . . . . 115--120
Katherine Balázs and
Theodore Kilgore Weighted approximation of derivatives on
the half-line . . . . . . . . . . . . . 121--128
Walter Gautschi The circle theorem and related theorems
for Gauss-type quadrature rules . . . . 129--137
Youngmi Hur and
Amos Ron New constructions of piecewise-constant
wavelets . . . . . . . . . . . . . . . . 138--157
Mourad E. H. Ismail and
Xin Li Orthogonal polynomials and Ramanujan's
$q$-continued fractions . . . . . . . . 158--165
D. S. Lubinsky Bernstein's weighted approximation on
$R$ still has problems . . . . . . . . . 166--177
Sergey Khrushchev On Euler's differential methods for
continued fractions . . . . . . . . . . 178--200
András Kroó On norms of factors of multivariate
polynomials on convex bodies . . . . . . 201--205
Margit Lénárd On weighted $ (0, 2)$-type interpolation 206--223
Jan Maes and
Adhemar Bultheel Stable multiresolution analysis on
triangles for surface compression . . . 224--258
Igor E. Pritsker Distribution of primes and a weighted
energy problem . . . . . . . . . . . . . 259--277
M. Yattselev A note on the sharpness of the
Remez-type inequality for homogeneous
polynomials on the sphere . . . . . . . 278--283
Yuan Xu Analysis on the unit ball and on the
simplex . . . . . . . . . . . . . . . . 284--301
Ping Zhou More examples on general order
multivariate Padé approximants for
pseudo-multivariate functions . . . . . 302--308
Paul Leopardi A partition of the unit sphere into
regions of equal area and small diameter 309--327
Barry Simon Fine structure of the zeros of
orthogonal polynomials, I. A tale of two
pictures . . . . . . . . . . . . . . . . 328--368
A. Martínez-Finkelshtein Szeg\Ho polynomials: a view from the
Riemann--Hilbert window . . . . . . . . 369--392
Gabriela Putinar and
Mihai Putinar Remarks on restriction eigenfunctions in
$ C^n $ . . . . . . . . . . . . . . . . 393--408
Giorgio Mantica Fourier--Bessel functions of singular
continuous measures and their many
asymptotics . . . . . . . . . . . . . . 409--430
Uri Itai On the eigenstructure of the Bernstein
kernel . . . . . . . . . . . . . . . . . 431--438
Boris Shekhtman On one question of Ed Saff . . . . . . . 439--445
Akhtam Khatamov On the exact estimates of the best
spline approximations of functions . . . 446--453
Juri M. Rappoport The properties, inequalities and
numerical approximation of modified
Bessel functions . . . . . . . . . . . . 454--466
H. P. Mashele On convergence of orthonormal expansions
for exponential weights . . . . . . . . 467--479
Herbert Stahl From Taylor to quadratic Hermite--Padé
polynomials . . . . . . . . . . . . . . 480--510
L. Baratchart and
A. Martínez-Finkelshtein and
D. Jimenez and
D. S. Lubinsky and
H. N. Mhaskar and
I. Pritsker and
M. Putinar and
N. Stylianopoulos and
V. Totik and
P. Varju and
Y. Xu Open problems in constructive function
theory . . . . . . . . . . . . . . . . . 511--525
Ralph Byers and
Volker Mehrmann and
Hongguo Xu A structured staircase algorithm for
skew-symmetric/symmetric pencils . . . . 1--33
Leszek Marcinkowski An additive Schwarz method for mortar
Morley finite element discretizations of
4th order elliptic problem in $2$D . . . 34--54
S. Asvadurov and
V. Druskin and
S. Moskow Optimal grids for anisotropic problems 55--81
Drahoslava Janovská and
Gerhard Opfer Computing quaternionic roots by Newton's
method . . . . . . . . . . . . . . . . . 82--102
Hyea Hyun Kim A FETI-DP preconditioner for mortar
methods in three dimensions . . . . . . 103--120
H. Faßbender The parametrized SR algorithm for
Hamiltonian matrices . . . . . . . . . . 121--145
Xuemin Tu A BDDC algorithm for flow in porous
media with a hybrid finite element
discretization . . . . . . . . . . . . . 146--160
Peter Stange and
Andreas Griewank and
Matthias Bollhöfer On the efficient update of rectangular
LU-factorizations subject to low rank
modifications . . . . . . . . . . . . . 161--177
Albrecht Böttcher and
Daniel Potts Probability against condition number and
sampling of multivariate trigonometric
random polynomials . . . . . . . . . . . 178--189
Laurent O. Jay and
Dan Negrut Extensions of the HHT-$ \alpha $ method
to differential-algebraic equations in
mechanics . . . . . . . . . . . . . . . 190--208
Michele Benzi and
Bora Uçar Block triangular preconditioners for
$M$-matrices and Markov chains . . . . . 209--227
Sang Dong Kim Piecewise bilinear preconditioning of
high-order finite element method . . . . 228--242
Raf Vandebril and
Nicola Mastronardi and
Marc Van Barel Solving linear systems with a
Levinson-like solver . . . . . . . . . . 243--269
Ramiro Acevedo and
Rodolfo Rodríguez Analysis of the $ A, V $ -- $A$ -- $
\psi $ potential formulation for the
eddy current problem in a bounded domain 270--284
Sabine Le Borne and
Suely Oliveira Joint domain-decomposition $ H - L U $
preconditioners for saddle point
problems . . . . . . . . . . . . . . . . 285--298
Tony F. Chan and
Ke Chen and
Jamylle L. Carter Iterative methods for solving the dual
formulation arising from image
restoration . . . . . . . . . . . . . . 299--311
Germain E. Randriambelosoa Polynomial best constrained degree
reduction in strain energy . . . . . . . 312--319
Natacha Fontes and
Janice Kover and
Laura Smithies and
Richard S. Varga Singular value decomposition normally
estimated Ger\vsgorin sets . . . . . . . 320--329
J. M. Tang and
C. Vuik Efficient deflation methods applied to
$3$D bubbly flow problems . . . . . . . 330--349
Juan Galvis and
Marcus Sarkis Non-matching mortar discretization
analysis for the coupling Stokes--Darcy
equations . . . . . . . . . . . . . . . 350--384
Peter Kunkel and
Volker Mehrmann Stability properties of
differential-algebraic equations and
spin-stabilized discretizations . . . . 385--420
Gabriel N. Gatica An augmented mixed finite element method
for linear elasticity with
non-homogeneous Dirichlet conditions . . 421--438
Joris Van Deun Electrostatics and ghost poles in near
best fixed pole rational interpolation 439--452
Petr Tichý and
Jörg Liesen and
Vance Faber On worst-case GMRES, ideal GMRES, and
the polynomial numerical hull of a
Jordan block . . . . . . . . . . . . . . 453--473
Neville J. Ford and
Patricia M. Lumb Theory and numerics for multi-term
periodic delay differential equations:
small solutions and their detection . . 474--483
Elvan Akin-Bohner and
Martin Bohner and
Samir H. Saker Oscillation criteria for a certain class
of second order Emden--Fowler dynamic
equations . . . . . . . . . . . . . . . 1--12
Alberto Cabada The method of lower and upper solutions
for periodic and anti-periodic
difference equations . . . . . . . . . . 13--25
J. DeVries and
A. Hulme Oscillation of factored dynamic
equations . . . . . . . . . . . . . . . 26--33
R. Álvarez-Nodarse and
N. M. Atakishiyev and
R. S. Costas-Santos Factorization of the hypergeometric-type
difference equation on the uniform
lattice . . . . . . . . . . . . . . . . 34--50
Lynn Erbe and
Allan Peterson Recent results concerning dynamic
equations on time scales . . . . . . . . 51--70
B. Kaymakçalan and
A. Zafer Langenhop's inequality and applications
for dynamic equations . . . . . . . . . 71--77
Rita Meyer-Spasche On difference schemes for quasilinear
evolution problems . . . . . . . . . . . 78--93
Henrik L. Pedersen Pick functions related to entire
functions having negative zeros . . . . 94--112
Wolfram Koepf Orthogonal polynomials and recurrence
equations, operator equations and
factorization . . . . . . . . . . . . . 113--123
L. L. Littlejohn and
A. Zettl Left-definite variations of the
classical Fourier expansion theorem . . 124--139
Sergei K. Suslov An algebra of integral operators . . . . 140--155
Valery G. Romanovski Periodic points of some algebraic maps 156--162
Marko Robnik and
Valery G. Romanovski The difference equation related to the
problem of the hydrogen atom in a strong
magnetic field . . . . . . . . . . . . . 163--176
Martin Gutknecht and
Michael Overton and
Lothar Reichel and
Daniel B. Szyld and
Nick Trefethen and
Paul Van Dooren and
Andy Wathen Preface: Special volume dedicated to
Gene Golub on the occasion of his 75th
birthday . . . . . . . . . . . . . . . . vii--vii
M. R. Osborne Separable least squares, variable
projection, and the Gauss--Newton
algorithm . . . . . . . . . . . . . . . 1--15
Michele Benzi and
Nader Razouk Decay bounds and O$ (n) $ algorithms for
approximating functions of sparse
matrices . . . . . . . . . . . . . . . . 16--39
Melina A. Freitag and
Alastair Spence Convergence theory for inexact inverse
iteration applied to the generalised
nonsymmetric eigenproblem . . . . . . . 40--64
S. Noschese and
L. Pasquini and
L. Reichel The structured distance to normality of
an irreducible real tridiagonal matrix 65--77
A. Hadjidimos and
P. Stratis Minimization of the spectral norm of the
SOR operator in a mixed case . . . . . . 78--94
Jean Christophe Tremblay and
Tucker Carrington Jr. A refined unsymmetric Lanczos
eigensolver for computing accurate
eigentriplets of a real unsymmetric
matrix . . . . . . . . . . . . . . . . . 95--113
James V. Lambers Derivation of high-order spectral
methods for time-dependent PDE using
modified moments . . . . . . . . . . . . 114--135
Martin Ludwig and
Jochim Koch and
Bernd Fischer An application of the finite volume
method to the bio-heat-transfer-equation
in premature infants . . . . . . . . . . 136--148
Julianne Chung and
James G. Nagy and
Dianne P. O'Leary A weighted-GCV method for Lanczos-hybrid
regularization . . . . . . . . . . . . . 149--167
Dirk Laurie Variable-precision arithmetic considered
perilous --- a detective story . . . . . 168--173
Jin Hyuk Jung and
Dianne P. O'Leary Implementing an interior point method
for linear programs on a CPU-GPU system 174--189
Giorgio Mantica Quantum dynamical entropy and an
algorithm by Gene Golub . . . . . . . . 190--205
M. Afanasjew and
M. Eiermann and
O. G. Ernst and
S. Güttel A generalization of the steepest descent
method for matrix functions . . . . . . 206--222
Thomas Schmelzer and
Lloyd N. Trefethen Evaluating matrix functions for
exponential integrators via
Carathéodory--Fejér approximation and
contour integrals . . . . . . . . . . . 1--18
Michiel E. Hochstenbach and
Yvan Notay Homogeneous Jacobi--Davidson . . . . . . 19--30
Thomas K. Huckle and
Dimitrios Noutsos Preconditioning block Toeplitz matrices 31--45
David Fritzsche and
Volker Mehrmann and
Daniel B. Szyld and
Elena Virnik An SVD approach to identifying
metastable states of Markov chains . . . 46--69
Matthias Bolten Hierarchical grid coarsening for the
solution of the Poisson equation in free
space . . . . . . . . . . . . . . . . . 70--80
Michiel E. Hochstenbach and
Bor Plestenjak Harmonic Rayleigh--Ritz extraction for
the multiparameter eigenvalue problem 81--96
A. Mohsen and
J. Stoer A rank-one updating approach for solving
systems of linear equations in the least
squares sense . . . . . . . . . . . . . 97--115
Christian Klein Fourth order time-stepping for low
dispersion Korteweg--de Vries and
nonlinear Schrödinger equations . . . . . 116--135
Peter Benner and
Hermann Mena and
Jens Saak On the parameter selection problem in
the Newton-ADI iteration for large-scale
Riccati equations . . . . . . . . . . . 136--149
Constantin Popa Algebraic multigrid smoothing property
of Kaczmarz's relaxation for general
rectangular linear systems . . . . . . . 150--162
Marco Donatelli and
Stefano Serra-Capizzano Filter factor analysis of an iterative
multilevel regularizing method . . . . . 163--177
M. Arioli and
D. Loghin Stopping criteria for mixed finite
element problems . . . . . . . . . . . . 178--192
Maya Neytcheva and
Erik Bängtsson Preconditioning of nonsymmetric saddle
point systems as arising in modelling of
viscoelastic problems . . . . . . . . . 193--211
Peter Benner and
Heike Fassbender and
Martin Stoll Solving large-scale quadratic eigenvalue
problems with Hamiltonian eigenstructure
using a structure-preserving Krylov
subspace method . . . . . . . . . . . . 212--229
Hualei Liu and
Baojiang Zhong Simpler Block GMRES for nonsymmetric
systems with multiple right-hand sides 1--9
K. Shimomukai and
H. Kanda Numerical study of normal pressure
distribution in entrance pipe flow . . . 10--25
Jens Keiner Gegenbauer polynomials and semiseparable
matrices . . . . . . . . . . . . . . . . 26--53
Ronny Ramlau Regularization properties of Tikhonov
regularization with sparsity constraints 54--74
M. Hadizadeh Yazdi and
Gh. Kazemi Gelian Error estimate in the sinc collocation
method for Volterra--Fredholm integral
equations based on DE transformation . . 75--87
Christer Glader Minimal degree rational unimodular
interpolation on the unit circle . . . . 88--106
Susanne C. Brenner and
Luke Owens and
Li-Yeng Sung A weakly over-penalized symmetric
interior penalty method . . . . . . . . 107--127
Richard S. Varga and
Amos J. Carpenter and
Bryan W. Lewis The dynamical motion of the zeros of the
partial sums of $ e^z $, and its
relationship to discrepancy theory . . . 128--143
Raf Vandebril and
Marc Van Barel and
Nicola Mastronardi A parallel QR-factorization/solver of
quasiseparable matrices . . . . . . . . 144--167
Hidesada Kanda Calculation of minimum critical Reynolds
number for laminar-turbulent transition
in pipe flows . . . . . . . . . . . . . 168--186
Tatjana Stykel Low-rank iterative methods for projected
generalized Lyapunov equations . . . . . 187--202
Marco Schnurr The automatic computation of
second-order slope tuples for some
nonsmooth functions . . . . . . . . . . 203--223
José L. López and
Pedro J. Pagola A simplification of the Laplace method
for double integrals. Application to the
second Appell function . . . . . . . . . 224--236
Nabongo Diabate and
Théodore K. Boni Asymptotic behavior for numerical
solutions of a semilinear parabolic
equation with a nonlinear boundary
condition . . . . . . . . . . . . . . . 237--246
Firmin K. N'Gohisse and
Théodore K. Boni Numerical blow-up solutions for some
semilinear heat equations . . . . . . . 247--257
Vadim Lisitsa Optimal discretization of PML for
elasticity problems . . . . . . . . . . 258--277
Elías Berriochoa and
Alicia Cachafeiro and
José M. García-Amor and
Francisco Marcellán New quadrature rules for Bernstein
measures on the interval $ [ - 1, 1] $ 278--290
Roland Becker and
Shipeng Mao and
Zhong-Ci Shi A convergent adaptive finite element
method with optimal complexity . . . . . 291--304
G. Capobianco and
D. Conte and
I. Del Prete and
E. Russo Stability analysis of fast numerical
methods for Volterra integral equations 305--322
Christian Mense and
Reinhard Nabben On algebraic multilevel methods for
non-symmetric systems --- convergence
results . . . . . . . . . . . . . . . . 323--345
Mohan K. Kadalbajoo and
Devendra Kumar Parameter-uniform fitted operator
B-spline collocation method for
self-adjoint singularly perturbed
two-point boundary value problems . . . 346--358
M. Munteanu and
L. F. Pavarino An overlapping additive
Schwarz--Richardson method for monotone
nonlinear parabolic problems . . . . . . 359--376
L. P. Bos and
N. Levenberg On the calculation of approximate Fekete
points: the univariate case . . . . . . 377--397
Richard S. Varga and
Ljiljana Cvetkovi\'c and
Vladimir Kosti\'c Approximation of the minimal Ger\vsgorin
set of a square complex matrix . . . . . 398--405
V. Pereyra and
B. Kaelin Fast wave propagation by model order
reduction . . . . . . . . . . . . . . . 406--419
Christopher C. Paige and
Ivo Panayotov Majorization bounds for Ritz values of
Hermitian matrices . . . . . . . . . . . 1--11
Jörg Lampe and
Heinrich Voss A fast algorithm for solving regularized
total least squares problems . . . . . . 12--24
Zden\vek Dostál On the decrease of a quadratic function
along the projected-gradient path . . . 25--29
Manuel Gräf and
Stefan Kunis Stability results for scattered data
interpolation on the rotation group . . 30--39
Kumbakonam R. Rajagopal On the modeling of entropy producing
processes . . . . . . . . . . . . . . . 40--48
Christos Kravvaritis and
Marilena Mitrouli A technique for computing minors of
binary Hadamard matrices and application
to the growth problem . . . . . . . . . 49--67
Vicente Hernández and
José E. Román and
Andrés Tomás A robust and efficient parallel SVD
solver based on restarted Lanczos
bidiagonalization . . . . . . . . . . . 68--85
James V. Lambers Enhancement of Krylov subspace spectral
methods by block Lanczos iteration . . . 86--109
Josef Málek Mathematical properties of flows of
incompressible power-law-like fluids
that are described by implicit
constitutive relations . . . . . . . . . 110--125
T. Sogabe and
T. Hoshi and
S.-L. Zhang and
T. Fujiwara On a weighted quasi-residual
minimization strategy for solving
complex symmetric shifted linear systems 126--140
Joab R. Winkler and
John D. Allan Structured low rank approximations of
the Sylvester resultant matrix for
approximate GCDs of Bernstein basis
polynomials . . . . . . . . . . . . . . 141--155
Jin Hyuk Jung and
Dianne P. O'Leary and
André L. Tits Adaptive constraint reduction for
training support vector machines . . . . 156--177
Gene H. Golub and
Martin Stoll and
Andy Wathen Approximation of the scattering
amplitude and linear systems . . . . . . 178--203
Per Christian Hansen and
Toke Koldborg Jensen Noise propagation in regularizing
iterations for image deblurring . . . . 204--220
Jan Zítko Some remarks on the restarted and
augmented GMRES method . . . . . . . . . 221--227
Martin J. Gander Schwarz methods over the course of time 228--255
Ulrike Baur and
Peter Benner Cross-Gramian based model reduction for
data-sparse systems . . . . . . . . . . 256--270
Yujuan Bao and
\.Ilker N. Bozkurt and
Tugrul Dayar and
Xiaobai Sun and
Kishor S. Trivedi Decompositional analysis of Kronecker
structured Markov chains . . . . . . . . 271--294
Hubert Schwetlick and
Kathrin Schreiber A counterexample for characterizing an
invariant subspace of a matrix . . . . . 295--305
Heike Fassbender and
D. Steven Mackey and
Niloufer Mackey and
Christian Schröder Structured polynomial eigenproblems
related to time-delay systems . . . . . 306--330
John J. Hench and
Zden\vek Strako\vs The RCWA method --- a case study with
open questions and perspectives of
algebraic computations . . . . . . . . . 331--357
Beata Laszkiewicz and
Krystyna Zi\ketak Algorithms for the matrix sector
function . . . . . . . . . . . . . . . . 358--383
Bed\vrich Sousedík and
Jan Mandel On the equivalence of primal and dual
substructuring preconditioners . . . . . 384--402
Yogi A. Erlangga and
Reinhard Nabben On a multilevel Krylov method for the
Helmholtz equation preconditioned by
shifted Laplacian . . . . . . . . . . . 403--424
Friedhelm Schieweck On the role of boundary conditions for
CIP stabilization of higher order finite
elements . . . . . . . . . . . . . . . . 1--16
Mika Juntunen and
Rolf Stenberg On a mixed discontinuous Galerkin method 17--32
Miloslav Feistauer and
Václav Ku\vcera Analysis of the DGFEM for nonlinear
convection-diffusion problems . . . . . 33--48
Andriy Sokolov and
Stefan Turek and
Maxim A. Olshanskii Numerical study of a discrete projection
method for rotating incompressible flows 49--62
Hans-Görg Roos and
Reiner Vanselow A comparison of four- and five-point
difference approximations for
stabilizing the one-dimensional
stationary convection-diffusion equation 63--75
Petr Knobloch On the definition of the SUPG parameter 76--89
Gunar Matthies and
Piotr Skrzypacz and
Lutz Tobiska Stabilization of local projection type
applied to convection-diffusion problems
with mixed boundary conditions . . . . . 90--105
G. Lube and
G. Rapin and
J. Löwe Local projection stabilization for
incompressible flows: Equal-order vs.
inf-sup stable interpolation . . . . . . 106--122
Martin R\ocircu\vzi\vcka and
Miloslav Feistauer and
Jaromír Horá\vcek and
Petr Svá\vcek Interaction of incompressible flow and a
moving airfoil . . . . . . . . . . . . . 123--133
René Schneider and
Peter K. Jimack On the evaluation of finite element
sensitivities to nodal coordinates . . . 134--144
B. Haasdonk and
M. Ohlberger and
G. Rozza A reduced basis method for evolution
schemes with parameter-dependent
explicit operators . . . . . . . . . . . 145--161
Heribert Blum and
Andreas Rademacher and
Andreas Schröder Space adaptive finite element methods
for dynamic obstacle problems . . . . . 162--172
M. Wohlmuth and
M. Dobrowolski Numerical analysis of Stokes equations
with improved LBB dependency . . . . . . 173--189
Bernd Heinrich and
Beate Jung Nitsche mortaring for parabolic
initial-boundary value problems . . . . 190--209
Bernhard Beckermann and
Khalide Jbilou and
Lothar Reichel and
Yousef Saad and
Miloude Sadkane and
Ahmed Salam Special volume on matrix analysis and
applications . . . . . . . . . . . . . . vii--vii
Dario A. Bini and
Gianna M. Del Corso and
Francesco Romani Evaluating scientific products by means
of citation-based models: a first
analysis and validation . . . . . . . . 1--16
M. Bellalij and
Y. Saad and
H. Sadok Analysis of some Krylov subspace methods
for normal matrices via approximation
theory and convex optimization . . . . . 17--30
M. Arioli and
I. S. Duff Using FGMRES to obtain backward
stability in mixed precision . . . . . . 31--44
Miloud Sadkane and
Ahmed Salam A note on symplectic block reflectors 45--52
M. Heyouni and
K. Jbilou An extended block Arnoldi algorithm for
large-scale solutions of the
continuous-time algebraic Riccati
equation . . . . . . . . . . . . . . . . 53--62
Lothar Reichel and
Qiang Ye Simple square smoothing regularization
operators . . . . . . . . . . . . . . . 63--83
Dario A. Bini and
Beatrice Meini and
Federico Poloni Fast solution of a certain Riccati
equation through Cauchy-like matrices 84--104
Fabio Di Benedetto and
Claudio Estatico and
James G. Nagy and
Matteo Pastorino Numerical linear algebra for nonlinear
microwave imaging . . . . . . . . . . . 105--125
Raf Vandebril and
Marc Van Barel and
Nicola Mastronardi A new iteration for computing the
eigenvalues of semiseparable (plus
diagonal) matrices . . . . . . . . . . . 126--150
Nicola Mastronardi and
Marc Van Barel and
Raf Vandebril On the computation of the null space of
Toeplitz-like matrices . . . . . . . . . 151--162
Steven Delvaux and
Katrijn Frederix and
Marc Van Barel Transforming a hierarchical into a
unitary-weight representation . . . . . 163--188
A. Salam and
E. Al-Aidarous Error analysis and computational aspects
of SR factorization via optimal
symplectic Householder transformations 189--206
L. Elbouyahyaoui and
A. Messaoudi and
H. Sadok Algebraic properties of the block GMRES
and block Arnoldi methods . . . . . . . 207--220
Marianela Lentini and
Marco Paluszny Orthogonal grids on meander-like regions 1--13
Carmen Arévalo A note on numerically consistent initial
values for high index
differential-algebraic equations . . . . 14--19
Ana Marco and
José-Javier Martínez Unique solvability in bivariate Hermite
interpolation . . . . . . . . . . . . . 20--30
Yun-Qiu Shen and
Tjalling J. Ypma Numerical bifurcation of separable
parameterized equations . . . . . . . . 31--43
Dan Stanescu and
Benito Chen-Charpentier and
Brandi J. Jensen and
Patricia J. S. Colberg Random coefficient differential models
of growth of anaerobic photosynthetic
bacteria . . . . . . . . . . . . . . . . 44--58
Vianey Villamizar and
Sebastian Acosta Elliptic grids with nearly uniform cell
area and line spacing . . . . . . . . . 59--75
P. Barrera-Sánchez and
F. J. Domínguez-Mota and
G. González-Flores and
J. G. Tinoco-Ruiz Generating quality structured convex
grids on irregular regions . . . . . . . 76--89
E. Mocskos and
G. Marshall Impact of gravity on thin-layer cell
electrochemical deposition . . . . . . . 90--101
Ricard Garrido and
Pedro González-Casanova and
Elvira Torondel Hybrid compact-WENO scheme for solving
relativistic flows . . . . . . . . . . . 102--118
Carlos R. Torres and
Dany De Cecchis and
Germán Larrazábal and
José Castillo Numerical study of a descending sphere
in a low Reynolds number strongly
stratified fluid . . . . . . . . . . . . 119--124
Andy Wathen and
Tyrone Rees Chebyshev semi-iteration in
preconditioning for problems including
the mass matrix . . . . . . . . . . . . 125--135
Jean-Paul Chehab and
Marcos Raydan Implicitly preconditioned and globalized
residual method for solving steady fluid
flows . . . . . . . . . . . . . . . . . 136--151
E. D. Batista and
J. E. Castillo Mimetic schemes on non-uniform
structured meshes . . . . . . . . . . . 152--162
Marco Paluszny and
Miguel Martín-Landrove and
Giovanni Figueroa and
Wuilian Torres Boosting the inverse interpolation
problem by a sum of decaying
exponentials using an algebraic approach 163--169
Wilfredo Angulo and
Hilda López On the discrete solution of the
generalized Stokes problem in one
time-step for two phase flow . . . . . . 170--186
Hilda López and
Brígida Molina and
José J. Salas Comparison between different numerical
discretizations for a Darcy--Forchheimer
model . . . . . . . . . . . . . . . . . 187--203
Paul Leopardi Diameter bounds for equal area
partitions of the unit sphere . . . . . 1--16
J. L. Cardoso and
C. M. Fernandes and
R. Álvarez-Nodarse Structural and recurrence relations for
hypergeometric-type functions by
Nikiforov--Uvarov method . . . . . . . . 17--39
I. A. Chernov Convergence of a lattice numerical
method for a boundary-value problem with
free boundary and nonlinear Neumann
boundary conditions . . . . . . . . . . 40--56
Carlos F. Borges A full-Newton approach to separable
nonlinear least squares problems and its
application to discrete least squares
rational approximation . . . . . . . . . 57--68
Ana Alonso and
Anahí Dello Russo Spectral approximation of variationally
formulated eigenvalue problems on curved
domains . . . . . . . . . . . . . . . . 69--87
Alfredo Deaño and
Nico M. Temme On modified asymptotic series involving
confluent hypergeometric functions . . . 88--103
Mouhamad Al Sayed Ali and
Miloud Sadkane Acceleration of implicit schemes for
large systems of nonlinear ODEs . . . . 104--117
Andreas Frommer Monotone convergence of the Lanczos
approximations to matrix functions of
Hermitian matrices . . . . . . . . . . . 118--128
K. Frederix and
L. Gemignani and
M. Van Barel On the fast reduction of symmetric
rationally generated Toeplitz matrices
to tridiagonal form . . . . . . . . . . 129--147
Daniela Ro\csca Spherical quadrature formulas with
equally spaced nodes on latitudinal
circles . . . . . . . . . . . . . . . . 148--163
Stefan Kindermann and
Marcin Janicki The heat transform and its use in
thermal identification problems for
electronic circuits . . . . . . . . . . 164--184
Ivo Marek and
Petr Mayer and
Ivana Pultarová Convergence issues in the theory and
practice of iterative
aggregation/disaggregation methods . . . 185--200
Angelamaria Cardone and
Ida Del Prete and
Claudia Nitsch Gaussian Direct Quadrature methods for
double delay Volterra integral equations 201--216
H. Auvinen and
J. M. Bardsley and
H. Haario and
T. Kauranne Large-scale Kalman filtering using the
limited memory BFGS method . . . . . . . 217--233
Mauro Perego and
Alessandro Veneziani An efficient generalization of the
Rush--Larsen method for solving
electro-physiology membrane equations 234--256
Howard C. Elman and
Ray S. Tuminaro Boundary conditions in approximate
commutator preconditioners for the
Navier--Stokes equations . . . . . . . . 257--280
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Walter Gautschi How sharp is Bernstein's inequality for
Jacobi polynomials? . . . . . . . . . . 1--8
Gerhard Opfer Polynomials and Vandermonde matrices
over the field of quaternions . . . . . 9--16
Boris Shekhtman Some tidbits on ideal projectors,
commuting matrices and their
applications . . . . . . . . . . . . . . 17--26
Svante Janson and
Timothy S. Norfolk Zeros of sections of the binomial
expansion . . . . . . . . . . . . . . . 27--38
Cheng-Yi Zhang and
Michele Benzi $P$-regular splitting iterative methods
for non--Hermitian positive definite
linear systems . . . . . . . . . . . . . 39--53
Lixing Han and
Michael Neumann and
Upendra Prasad Alternating projected Barzilai--Borwein
methods for nonnegative matrix
factorization . . . . . . . . . . . . . 54--82
Kenier Castillo and
Luis Garza and
Francisco Marcellán Laurent polynomial perturbations of
linear functionals. An inverse problem 83--98
Laura Smithies The structured distance to nearly normal
matrices . . . . . . . . . . . . . . . . 99--112
Markus Stammberger and
Heinrich Voss On an unsymmetric eigenvalue problem
governing free vibrations of fluid-solid
structures . . . . . . . . . . . . . . . 113--125
Martin H. Gutknecht IDR explained . . . . . . . . . . . . . 126--148
István Faragó and
János Karátson and
Sergey Korotov Discrete maximum principles for the FEM
solution of some nonlinear parabolic
problems . . . . . . . . . . . . . . . . 149--167
Owe Axelsson and
János Karátson Condition number analysis for various
forms of block matrix preconditioners 168--194
Thomas K. DeLillo and
Everett H. Kropf Slit maps and Schwarz--Christoffel maps
for multiply connected domains . . . . . 195--223
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
A. Sommariva and
M. Vianello Approximate Fekete points for weighted
polynomial interpolation . . . . . . . . 1--22
J. Cerdán and
T. Faraj and
N. Malla and
J. Marín and
J. Mas Block approximate inverse
preconditioners for sparse nonsymmetric
linear systems . . . . . . . . . . . . . 23--40
Hengguang Li and
Anna Mazzucato and
Victor Nistor Analysis of the finite element method
for transmission/mixed boundary value
problems on general polygonal domains 41--69
Dá\vsa Janovská and
Vladimír Janovský The analytic SVD: On the non-generic
points on the path . . . . . . . . . . . 70--86
Ronny Ramlau and
Elena Resmerita Convergence rates for regularization
with sparsity constraints . . . . . . . 87--104
Sofiya Ostrovska On the approximation of analytic
functions by the $q$-Bernstein
polynomials in the case $ q > 1$ . . . . 105--112
Margit Lénárd On weighted lacunary interpolation . . . 113--122
Yvan Notay An aggregation-based algebraic multigrid
method . . . . . . . . . . . . . . . . . 123--146
Bernard N. Sheehan and
Yousef Saad and
Roger B. Sidje Computing $ \exp ( - \tau A) b $ with
Laguerre polynomials . . . . . . . . . . 147--165
Bishnu P. Lamichhane A gradient recovery operator based on an
oblique projection . . . . . . . . . . . 166--172
Sabine Le Borne and
Che Ngufor An implicit approximate inverse
preconditioner for saddle point problems 173--188
Yunkyong Hyon and
Do Y. Kwak New quadrilateral mixed finite elements 189--201
Valeria Simoncini On a non-stagnation condition for GMRES
and application to saddle point matrices 202--213
Susanne C. Brenner and
Thirupathi Gudi and
Li-Yeng Sung A weakly over-penalized symmetric
interior penalty method for the
biharmonic problem . . . . . . . . . . . 214--238
Feng-Nan Hwang and
Hsin-Lun Lin and
Xiao-Chuan Cai Two-level nonlinear elimination based
preconditioners for inexact Newton
methods with application in shocked duct
flow calculation . . . . . . . . . . . . 239--251
Bojan Orel Accumulation of global error in Lie
group methods for linear ordinary
differential equations . . . . . . . . . 252--262
Joachim Georgii and
Rüdiger Westermann A streaming approach for sparse matrix
products and its application in Galerkin
multigrid methods . . . . . . . . . . . 263--275
J. Brannick and
A. Frommer and
K. Kahl and
S. MacLachlan and
L. Zikatanov Adaptive reduction-based multigrid for
nearly singular and highly disordered
physical systems . . . . . . . . . . . . 276--295
Martin Nilsson Jacobi A robust spectral method for finding
lumpings and meta stable states of
non-reversible Markov chains . . . . . . 296--306
Chen Greif and
Michael L. Overton An analysis of low-rank modifications of
preconditioners for saddle point systems 307--320
Tommy Elfving and
Touraj Nikazad and
Per Christian Hansen Semi-convergence and relaxation
parameters for a class of SIRT
algorithms . . . . . . . . . . . . . . . 321--336
Jonathan J. Crofts and
Ernesto Estrada and
Desmond J. Higham and
Alan Taylor Mapping directed networks . . . . . . . 337--350
Maximilian Emans Benchmarking aggregation AMG for linear
systems in CFD simulations of
compressible internal flows . . . . . . 351--366
David M. Alber and
Luke N. Olson Coarsening invariance and bucket-sorted
independent sets for algebraic multigrid 367--385
Kendall Atkinson and
Olaf Hansen A spectral method for the eigenvalue
problem for elliptic equations . . . . . 386--412
Clemens Hofreither and
Ulrich Langer and
Clemens Pechstein Analysis of a non-standard finite
element method based on boundary
integral operators . . . . . . . . . . . 413--436
Leszek Marcinkowski A preconditioner for a FETI-DP method
for mortar element discretization of a
4th order problem in $2$D . . . . . . . 1--16
Ryan M. Tifenbach On an SVD-based algorithm for
identifying meta-stable states of Markov
chains . . . . . . . . . . . . . . . . . 17--33
Johnathan M. Bardsley Applications of a nonnegatively
constrained iterative method with
statistically based stopping rules to
CT, PET, and SPECT imaging . . . . . . . 34--43
Martin Benning and
Martin Burger Error estimates for general fidelities 44--68
Tugrul Dayar and
Gökçe N. Noyan Steady-state analysis of Google-like
stochastic matrices with block iterative
methods . . . . . . . . . . . . . . . . 69--97
Michiel E. Hochstenbach Fields of values and inclusion regions
for matrix pencils . . . . . . . . . . . 98--112
Youn\`es Chahlaoui Two efficient SVD/Krylov algorithms for
model order reduction of large scale
systems . . . . . . . . . . . . . . . . 113--145
Pedro Gonnet and
Ricardo Pachón and
Lloyd N. Trefethen Robust rational interpolation and
least-squares . . . . . . . . . . . . . 146--167
S. H. Lui Pseudospectral mapping theorem II . . . 168--183
Masashi Iwasaki and
Yoshimasa Nakamura Positivity of dLV and mdLVs algorithms
for computing singular values . . . . . 184--201
João R. Cardoso Evaluating the Fréchet derivative of the
matrix $p$ th root . . . . . . . . . . . 202--217
Mohammad Masjed-Jamei A linear constructive approximation for
integrable functions and a parametric
quadrature model based on a
generalization of Ostrowski--Grüss type
inequalities . . . . . . . . . . . . . . 218--232
Stefan Kindermann Convergence analysis of
minimization-based noise level-free
parameter choice rules for linear
ill-posed problems . . . . . . . . . . . 233--257
Maxim A. Olshanskii and
Leo G. Rebholz Application of barycenter refined meshes
in linear elasticity and incompressible
fluid dynamics . . . . . . . . . . . . . 258--274
Sk. Safique Ahmad and
Volker Mehrmann Perturbation analysis for complex
symmetric, skew symmetric, even and odd
matrix polynomials . . . . . . . . . . . 275--302
Mohamed Kara and
Boubakeur Merouani and
Lahc\`ene Chorfi Computation of the torsional modes in an
axisymmetric elastic layer . . . . . . . 303--316
K. Driver and
A. Jooste and
K. Jordaan Stieltjes interlacing of zeros of Jacobi
polynomials from different sequences . . 317--326
S. Pishbin and
F. Ghoreishi and
M. Hadizadeh A posteriori error estimation for the
Legendre collocation method applied to
integral-algebraic Volterra equations 327--346
Sébastien Duminil and
Hassane Sadok Reduced rank extrapolation applied to
electronic structure computations . . . 347--362
Paul R. Willems and
Bruno Lang Block factorizations and $ q d$-type
transformations for the $ {\rm MR}^3 $
algorithm . . . . . . . . . . . . . . . 363--400
Paul R. Willems and
Bruno Lang The $ {\rm MR}^3 $--GK algorithm for the
bidiagonal SVD . . . . . . . . . . . . . 1--21
Ahmad Golbabai and
Ali Safdari-Vaighani Collocation methods based on radial
basis functions for the coupled
Klein--Gordon--Schrödinger equations . . 22--31
T. V. S. Sekhar and
R. Sivakumar and
S. Vimala and
Y. V. S. S. Sanyasiraju A combined fourth-order compact scheme
with an accelerated multigrid method for
the energy equation in spherical polar
coordinates . . . . . . . . . . . . . . 32--45
Przemys\law Rutka and
Ryszard Smarzewski Extremal interpolatory problem of Fejér
type for all classical weight functions 46--59
Manfred Dobrowolski On domain-robust preconditioners for the
Stokes equations . . . . . . . . . . . . 60--74
Gérard Meurant The complete stagnation of GMRES for $ N
\leq 4 $ . . . . . . . . . . . . . . . . 75--101
Gaspare Da Fies and
Marco Vianello Trigonometric Gaussian quadrature on
subintervals of the period . . . . . . . 102--112
Andreas Kleefeld and
Tzu-Chu Lin Boundary element collocation method for
solving the exterior Neumann problem for
Helmholtz's equation in three dimensions 113--143
Claude Brezinski and
Paraskevi Fika and
Marilena Mitrouli Estimations of the trace of powers of
positive self-adjoint operators by
extrapolation of the moments . . . . . . 144--155
Martin H. Gutknecht Spectral deflation in Krylov solvers: a
theory of coordinate space based methods 156--185
Luca Gerardo-Giorda and
Lucia Mirabella Spectral analysis of a block-triangular
preconditioner for the Bidomain system
in electrocardiology . . . . . . . . . . 186--201
Kendall Atkinson and
Olaf Hansen Creating domain mappings . . . . . . . . 202--230
Michael Kolmbauer A robust FEM--BEM MinRes solver for
distributed multiharmonic eddy current
optimal control problems in unbounded
domains . . . . . . . . . . . . . . . . 231--252
Mouhamad Al Sayed Ali and
Miloud Sadkane Improved predictor schemes for large
systems of linear ODEs . . . . . . . . . 253--270
Antti Solonen and
Heikki Haario and
Janne Hakkarainen and
Harri Auvinen and
Idrissa Amour and
Tuomo Kauranne Variational ensemble Kalman filtering
using limited memory BFGS . . . . . . . 271--285
Roman Czapla and
Vladimir Mityushev and
Natalia Rylko Conformal mapping of circular multiply
connected domains onto slit domains . . 286--297
Philipp Birken Optimizing Runge--Kutta smoothers for
unsteady flow problems . . . . . . . . . 298--312
Susanne C. Brenner and
Kening Wang An iterative substructuring algorithm
for a $ C^0 $ interior penalty method 313--332
Zhiyong Liu and
Yinnian He Cascadic multigrid preconditioner for
elliptic equations with jump
coefficients . . . . . . . . . . . . . . 333--339
Juan-Carlos Santos-León Fejér orthogonal polynomials and rational
modification of a measure on the unit
circle . . . . . . . . . . . . . . . . . 340--352
Van Emden Henson and
Geoffrey Sanders Locally supported eigenvectors of
matrices associated with connected and
unweighted power-law graphs . . . . . . 353--378
Ben Jeuris and
Raf Vandebril and
Bart Vandereycken A survey and comparison of contemporary
algorithms for computing the matrix
geometric mean . . . . . . . . . . . . . 379--402
L. F. Shampine Integrating Oscillatory Functions in
Matlab, II . . . . . . . . . . . . . . . 403--413
João R. Cardoso Computation of the matrix $p$ th root
and its Fréchet derivative by integrals 414--436
Dirk A. Lorenz and
Peter Maass and
Pham Q. Muoi Gradient descent for Tikhonov
functionals with sparsity constraints:
Theory and numerical comparison of step
size rules . . . . . . . . . . . . . . . 437--463
Enrico Bozzo and
Dario Fasino A multiparameter model for link analysis
of citation graphs . . . . . . . . . . . 464--475
Ronny Ramlau and
Clemens A. Zarzer On the minimization of a Tikhonov
functional with a non-convex sparsity
constraint . . . . . . . . . . . . . . . 476--507
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Emmanuel Kamgnia and
Bernard Philippe Counting eigenvalues in domains of the
complex field . . . . . . . . . . . . . 1--16
Raf Vandebril and
David S. Watkins An extension of the $ Q Z $ algorithm
beyond the Hessenberg-upper triangular
pencil . . . . . . . . . . . . . . . . . 17--35
Xiuhong Du and
Marcus Sarkis and
Christian E. Schaerer and
Daniel B. Szyld Inexact and truncated Parareal-in-time
Krylov subspace methods for parabolic
optimal control problems . . . . . . . . 36--57
Stefan Kindermann Discretization independent convergence
rates for noise level-free parameter
choice rules for the regularization of
ill-conditioned problems . . . . . . . . 58--81
Aleksandra Kosti\'c and
Heinrich Voss On Sylvester's law of inertia for
nonlinear eigenvalue problems . . . . . 82--93
Anh Ha Le and
Pascal Omnes Discrete Poincaré inequalities for
arbitrary meshes in the discrete duality
finite volume context . . . . . . . . . 94--119
Ryan M. Tifenbach A combinatorial approach to nearly
uncoupled Markov chains I: Reversible
Markov chains . . . . . . . . . . . . . 120--147
Florian Lemarié and
Laurent Debreu and
Eric Blayo Toward an optimized global-in-time
Schwarz algorithm for diffusion
equations with discontinuous and
spatially variable coefficients. Part 1:
The constant coefficients case . . . . . 148--169
Florian Lemarié and
Laurent Debreu and
Eric Blayo Toward an optimized global-in-time
Schwarz algorithm for diffusion
equations with discontinuous and
spatially variable coefficients. Part 2:
The variable coefficients case . . . . . 170--186
Andreas Frommer and
Behnam Hashemi Verified stability analysis using the
Lyapunov matrix equation . . . . . . . . 187--203
Daniel Potts and
Manfred Tasche Parameter estimation for multivariate
exponential sums . . . . . . . . . . . . 204--224
Iain S. Duff and
Kamer Kaya Preconditioners based on strong
subgraphs . . . . . . . . . . . . . . . 225--248
Daniel Wachsmuth Adaptive regularization and
discretization of bang-bang optimal
control problems . . . . . . . . . . . . 249--267
Edson Pindza and
Kailash C. Patidar and
Edgard Ngounda Implicit-explicit predictor-corrector
methods combined with improved spectral
methods for pricing European style
vanilla and exotic options . . . . . . . 268--293
John W. Pearson and
Andrew J. Wathen Fast iterative solvers for
convection-diffusion control problems 294--310
Michele Benzi and
Verena Kuhlemann Chebyshev acceleration of the GeneRank
algorithm . . . . . . . . . . . . . . . 311--320
Sabrina Herkt and
Michael Hinze and
Rene Pinnau Convergence analysis of Galerkin POD for
linear second order evolution equations 321--337
Serge Gratton and
Pavel Jiránek and
Xavier Vasseur Energy backward error: interpretation in
numerical solution of elliptic partial
differential equations and behaviour in
the conjugate gradient method . . . . . 338--355
Jianjun Zhang and
Benedetta Morini Solving regularized linear least-squares
problems by the alternating direction
method with applications to image
restoration . . . . . . . . . . . . . . 356--372
Xuping Zhang and
Bo Yu A note on the relation between the
Newton homotopy method and the damped
Newton method . . . . . . . . . . . . . 373--380
Desire Nuentsa Wakam and
Jocelyne Erhel Parallelism and robustness in GMRES with
a Newton basis and deflated restarting 381--406
D. C. Khanh and
H. T. Quyen and
D. D. X. Thanh On computing stabilizability radii of
linear time-invariant continuous systems 407--413
Thomas Mach and
Miroslav S. Prani\'c and
Raf Vandebril Computing approximate extended Krylov
subspaces without explicit inversion . . 414--435
Harri Hakula and
Antti Rasila and
Matti Vuorinen Computation of exterior moduli of
quadrilaterals . . . . . . . . . . . . . 436--451
Silvia Gazzola and
Paolo Novati Multi-parameter Arnoldi--Tikhonov
methods . . . . . . . . . . . . . . . . 452--475
Johnathan M. Bardsley and
Marylesa Howard and
James G. Nagy Efficient MCMC-based image deblurring
with Neumann boundary conditions . . . . 476--488
Rola El-Moallem and
Hassane Sadok Vector extrapolation applied to
algebraic Riccati equations arising in
transport theory . . . . . . . . . . . . 489--506
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Aleksandar S. Cvetkovi\'c and
Miodrag M. Spalevi\'c Estimating the error of Gauss--Turán
quadrature formulas using their
extensions . . . . . . . . . . . . . . . 1--12
Andreas Günnel and
Roland Herzog and
Ekkehard Sachs A note on preconditioners and scalar
products in Krylov subspace methods for
self-adjoint problems in Hilbert space 13--20
Elias Jarlebring and
Stefan Güttel A spatially adaptive iterative method
for a class of nonlinear operator
eigenproblems . . . . . . . . . . . . . 21--41
Alexis Aposporidis and
Panayot S. Vassilevski and
Alessandro Veneziani Multigrid preconditioning of the
non-regularized augmented Bingham fluid
problem . . . . . . . . . . . . . . . . 42--61
Roman Andreev and
Julia Schweitzer Conditional space-time stability of
collocation Runge--Kutta for parabolic
evolution equations . . . . . . . . . . 62--80
Andreas Neubauer and
Ronny Ramlau On convergence rates for quasi-solutions
of ill-posed problems . . . . . . . . . 81--92
Klaus Neymeyr and
Ming Zhou The block preconditioned steepest
descent iteration for elliptic operator
eigenvalue problems . . . . . . . . . . 93--108
Ulrich Hetmaniuk and
Axel Klawonn Error estimates for a two-dimensional
special finite element method based on
component mode synthesis . . . . . . . . 109--132
Drahoslava Janovská and
Gerhard Opfer Zeros and singular points for one-sided
coquaternionic polynomials with an
extension to other $ \mathbb {R}^4 $
algebras . . . . . . . . . . . . . . . . 133--158
Jörg Liesen and
Petr Tichý Max-min and min-max approximation
problems for normal matrices revisited 159--166
Ula\cs Ayaz and
Holger Rauhut Nonuniform Sparse Recovery with
Subgaussian Matrices . . . . . . . . . . 167--178
Davod Khojasteh Salkuyeh and
Vahid Edalatpour and
Davod Hezari Polynomial Preconditioning for the
GeneRank Problem . . . . . . . . . . . . 179--189
Peter Junghanns and
Robert Kaiser and
Giuseppe Mastroianni Collocation for singular integral
equations with fixed singularities of
particular Mellin type . . . . . . . . . 190--248
Luisa Fermo and
Cornelis van der Mee and
Sebastiano Seatzu Parameter estimation of
monomial-exponential sums . . . . . . . 249--261
Michael Neilan A unified analysis of three finite
element methods for the Monge--Amp\`ere
equation . . . . . . . . . . . . . . . . 262--288
P. Mokhtary and
F. Ghoreishi Convergence analysis of the operational
Tau method for Abel-type Volterra
integral equations . . . . . . . . . . . 289--305
Jason Howell and
Hyesuk Lee and
Shuhan Xu Finite element approximation of
viscoelastic flow in a moving domain . . 306--327
Tristan Pryer Discontinuous Galerkin methods for the
$p$-biharmonic equation from a discrete
variational perspective . . . . . . . . 328--349
Guanghui Hu and
Andreas Rathsfeld Convergence analysis of the FEM coupled
with Fourier-mode expansion for the
electromagnetic scattering by biperiodic
structures . . . . . . . . . . . . . . . 350--375
S. Gowrisankar and
Srinivasan Natesan A robust numerical scheme for singularly
perturbed delay parabolic
initial-boundary-value problems on
equidistributed grids . . . . . . . . . 376--395
Tiexiang Li and
Delin Chu A structure-preserving algorithm for
semi-stabilizing solutions of
generalized algebraic Riccati equations 396--419
Puthan Veedu Viswanathan and
Arya Kumar Bedabrata Chand $ \alpha $-fractal rational splines for
constrained interpolation . . . . . . . 420--442
Stefan Güttel and
Georges Klein Efficient high-order rational
integration and deferred correction with
equispaced data . . . . . . . . . . . . 443--464
Donghui Chen and
Misha E. Kilmer and
Per Christian Hansen ``Plug-and-Play'' Edge-Preserving
Regularization . . . . . . . . . . . . . 465--477
Jing Meng and
Pei-Yong Zhu and
Hou-Biao Li and
Xian-Ming Gu A deflated block flexible GMRES--DR
method for linear systems with multiple
right-hand sides . . . . . . . . . . . . 478--496
David Hipp and
Marlis Hochbruck and
Alexander Ostermann An exponential integrator for
non-autonomous parabolic problems . . . 497--511
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Preface . . . . . . . . . . . . . . . . ??
Natália Bebiano and
João da Providência and
Ana Nata and
João P. da Providência Revisiting the inverse field of values
problem . . . . . . . . . . . . . . . . 1--12
Jörg Lampe and
Heinrich Voss Large-scale dual regularized total least
squares . . . . . . . . . . . . . . . . 13--40
Ronny Ramlau and
Daniel B. Szyld Special volume: dedicated to Lothar
Reichel on the occasion of his sixtieth
birthday . . . . . . . . . . . . . . . . i--i
Marc van Barel and
Matthias Humet and
Laurent Sorber Approximating optimal point
configurations for multivariate
polynomial interpolation . . . . . . . . 41--63
Alessandro Lanza and
Serena Morigi and
Fiorella Sgallari and
Anthony J. Yezzi Variational image denoising while
constraining the distribution of the
residual . . . . . . . . . . . . . . . . 64--84
James Baglama and
Daniel J. Richmond Implicitly restarting the LSQR algorithm 85--105
Torsten Ehrhardt and
Karla Rost Inversion of centrosymmetric
Toeplitz-plus-Hankel Bezoutians . . . . 106--135
Yiqiu Dong and
Henrik Garde and
Per Christian Hansen $ R^3 $GMRES: Including Prior
Information in GMRES-Type Methods for
Discrete Inverse Problems . . . . . . . 136--146
Peter Benner and
Tobias Breiten Rational interpolation methods for
symmetric Sylvester equations . . . . . 147--164
Alexander Malyshev and
Miloud Sadkane On the computation of the distance to
quadratic matrix polynomials that are
singular at some points on the unit
circle . . . . . . . . . . . . . . . . . 165--176
Farbod Roosta-Khorasani and
Kees van den Doel and
Uri Ascher Data completion and stochastic
algorithms for PDE inversion problems
with many measurements . . . . . . . . . 177--196
Qiao Liang and
Qiang Ye Computing singular values of large
matrices with an inverse-free
preconditioned Krylov subspace method 197--221
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Cristina Anton and
Jian Deng and
Yau Shu Wong Weak symplectic schemes for stochastic
Hamiltonian equations . . . . . . . . . 1--20
Mostafa Bachar and
Thierry Estebenet and
Allal Guessab A moving asymptotes algorithm using new
local convex approximation methods with
explicit solutions . . . . . . . . . . . 21--44
Said Agoujil and
Abdeslem H. Bentbib and
Khalide Jbilou and
Mostafa El Sadek A minimal residual norm method for
large-scale Sylvester matrix equations 45--59
Miloud Sadkane The Davison--Man method revisited . . . 60--69
Paraskevi Fika and
Marilena Mitrouli and
Paraskevi Roupa Estimates for the bilinear form $ x^T
A^{-1} y $ with applications to linear
algebra problems . . . . . . . . . . . . 70--89
Nicolai D. Christov and
Mihail M. Konstantinov and
Petko Hr. Petkov Improved perturbation bounds for the
continuous-time $ H_\infty $-control
problem . . . . . . . . . . . . . . . . 90--99
Thomas Mach and
Miroslav S. Prani\'c and
Raf Vandebril Computing approximate (block) rational
Krylov subspaces without explicit
inversion with extensions to symmetric
matrices . . . . . . . . . . . . . . . . 100--124
Erin Carson and
Nicholas Knight and
James Demmel An efficient deflation technique for the
communication-avoiding conjugate
gradient method . . . . . . . . . . . . 125--141
Peter Benner and
Patrick Kürschner and
Jens Saak Self-generating and efficient shift
parameters in ADI methods for large
Lyapunov and Sylvester equations . . . . 142--162
Jesse L. Barlow Block Gram--Schmidt downdating . . . . . 163--187
Gérard Meurant On the location of the Ritz values in
the Arnoldi process . . . . . . . . . . 188--212
Alexander Malyshev and
Miloud Sadkane and
Ahmed Salam A subspace iteration for symplectic
matrices . . . . . . . . . . . . . . . . 213--222
Lothar Reichel and
Xuebo Yu Matrix decompositions for Tikhonov
regularization . . . . . . . . . . . . . 223--243
Asuka Ohashi and
Tomohiro Sogabe On computing maximum/minimum singular
values of a generalized tensor sum . . . 244--254
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Volker Mehrmann and
Hongguo Xu Structure preserving deflation of
infinite eigenvalues in structured
pencils . . . . . . . . . . . . . . . . 1--24
Matthias Bolten and
Marco Donatelli and
Thomas Huckle Analysis of smoothed aggregation
multigrid methods based on Toeplitz
matrices . . . . . . . . . . . . . . . . 25--52
John W. Pearson On the development of parameter-robust
preconditioners and commutator arguments
for solving Stokes control problems . . 53--72
Nicola Mastronardi and
Paul Van Dooren Revisiting the stability of computing
the roots of a quadratic polynomial . . 73--82
Silvia Gazzola and
Paolo Novati and
Maria Rosaria Russo On Krylov projection methods and
Tikhonov regularization . . . . . . . . 83--123
Na Li and
Carmeliza Navasca and
Christina Glenn Iterative methods for symmetric outer
product tensor decomposition . . . . . . 124--139
Elías Berriochoa and
Alicia Cachafeiro and
Jaime Díaz and
Jesús Illán Explicit formulas for Hermite-type
interpolation on the circle and
applications . . . . . . . . . . . . . . 140--152
Michael Feischl and
Thomas Führer and
Michael Karkulik and
J. Markus Melenk and
Dirk Praetorius Quasi-optimal convergence rates for
adaptive boundary element methods with
data approximation. Part II:
Hyper-singular integral equation . . . . 153--176
Josef Sifuentes and
Zydrunas Gimbutas and
Leslie Greengard Randomized methods for rank-deficient
linear systems . . . . . . . . . . . . . 177--188
Mohamed M. S. Nasser Fast solution of boundary integral
equations with the generalized Neumann
kernel . . . . . . . . . . . . . . . . . 189--229
Clemens Hofreither and
Ulrich Langer and
Clemens Pechstein BEM-based Finite Element Tearing and
Interconnecting Methods . . . . . . . . 230--249
Lubomir Ba\vnas and
Marcus Page and
Dirk Praetorius A convergent linear finite element
scheme for the
Maxwell--Landau--Lifshitz--Gilbert
equations . . . . . . . . . . . . . . . 250--270
Kenier Castillo and
Fernando R. Rafaeli On the discrete extension of Markov's
theorem on monotonicity of zeros . . . . 271--280
Jared L. Aurentz Fast algorithms for spectral
differentiation matrices . . . . . . . . 281--288
N. J. Ford and
M. L. Morgado and
M. Rebelo An implicit finite difference
approximation for the solution of the
diffusion equation with distributed
order in time . . . . . . . . . . . . . 289--305
Yusaku Yamamoto and
Yuji Nakatsukasa and
Yuka Yanagisawa and
Takeshi Fukaya Roundoff error analysis of the
CholeskyQR2 algorithm . . . . . . . . . 306--326
Jared L. Aurentz and
Thomas Mach and
Raf Vandebril and
David S. Watkins Fast and stable unitary $ Q R $
algorithm . . . . . . . . . . . . . . . 327--341
Yuli Eidelman and
Iulian Haimovici The fast bisection eigenvalue method for
Hermitian order one quasiseparable
matrices and computations of norms . . . 342--366
Yue Qiu and
Martin B. van Gijzen and
Jan-Willem van Wingerden and
Michel Verhaegen and
Cornelis Vuik Efficient preconditioners for
PDE-constrained optimization problem
with a multilevel sequentially
semiseparable matrix structure . . . . . 367--400
Jan Brousek and
Pavla Franková and
Milan Hanu\vs and
Hana Kopincová and
Roman Ku\vzel and
Radek Tezaur and
Petr Van\vek and
Zbyn\vek Vastl An overview of multilevel methods with
aggressive coarsening and massive
polynomial smoothing . . . . . . . . . . 401--442
Atle Loneland and
Leszek Marcinkowski and
Talal Rahman Edge-based Schwarz methods for the
Crouzeix--Raviart finite volume element
discretization of elliptic problems . . 443--461
Payam Mokhtary High-order modified Tau method for
non-smooth solutions of Abel integral
equations . . . . . . . . . . . . . . . 462--471
Achi Brandt and
James Brannick and
Karsten Kahl and
Irene Livshits Algebraic distance for anisotropic
diffusion problems: multilevel results 472--496
Juan G. Calvo A two-level overlapping Schwarz method
for $ H ({\rm curl}) $ in two dimensions
with irregular subdomains . . . . . . . 497--521
André Gaul and
Nico Schlömer Preconditioned Recycling Krylov subspace
methods for self-adjoint problems . . . 522--547
Hidesada Kanda Laminar-turbulent transition in pipe
flow: wall effects and critical Reynolds
number . . . . . . . . . . . . . . . . . 548--571
Mohamed El Bouajaji and
Victorita Dolean and
Martin J. Gander and
Stéphane Lanteri and
Ronan Perrussel Discontinuous Galerkin discretizations
of optimized Schwarz methods for solving
the time-harmonic Maxwell's equations 572--592
Zlatko Drma\vc SVD of Hankel matrices in
Vandermonde--Cauchy product form . . . . 593--623
Zhongming Teng and
Linzhang Lu and
Ren-Cang Li Perturbation of partitioned linear
response eigenvalue problems . . . . . . 624--638
Puthan Veedu Viswanathan and
Arya Kumar Bedabrata Chand Monotone--Comonotone approximation by
fractal cubic splines and polynomials 639--659
Gerhard Opfer Polynomial interpolation in nondivision
algebras . . . . . . . . . . . . . . . . 660--670
Anonymous Table of contents and abstracts . . . . ??
Olivier S\`ete and
Jörg Liesen On conformal maps from multiply
connected domains onto lemniscatic
domains . . . . . . . . . . . . . . . . 1--15
Alex Breuer New filtering strategies for implicitly
restarted Lanczos iteration . . . . . . 16--32
Luka Grubi\vsi\'c and
Suzana Miodragovi\'c and
Ninoslav Truhar Double angle theorems for definite
matrix pairs . . . . . . . . . . . . . . 33--57
M. R. Eslahchi and
Mohammad Masjed-Jamei On $q$-interpolation formulae and their
applications . . . . . . . . . . . . . . 58--74
Axel Klawonn and
Patrick Radtke and
Oliver Rheinbach A comparison of adaptive coarse spaces
for iterative substructuring in two
dimensions . . . . . . . . . . . . . . . 75--106
Tobias Breiten and
Valeria Simoncini and
Martin Stoll Low-rank solvers for fractional
differential equations . . . . . . . . . 107--132
Marcel Schweitzer Any finite convergence curve is possible
in the initial iterations of restarted
FOM . . . . . . . . . . . . . . . . . . 133--145
Florian Gossler and
Reinhard Nabben On AMG methods with $F$-smoothing based
on Chebyshev polynomials and their
relation to AMGr . . . . . . . . . . . . 146--159
Peyman Hessari and
Bongsoo Jang Least squares spectral method for
velocity-flux form of the coupled
Stokes--Darcy equations . . . . . . . . 160--182
P. Mokhtary Operational Müntz--Galerkin approximation
for Abel--Hammerstein integral equations
of the second kind . . . . . . . . . . . 183--200
Artem Napov and
Yvan Notay An efficient multigrid method for graph
Laplacian systems . . . . . . . . . . . 201--218
Martin J. Gander and
Kévin Santugini Cross-points in domain decomposition
methods with a finite element
discretization . . . . . . . . . . . . . 219--240
Mário M. Graça Maps for global separation of roots . . 241--256
Wolfgang Krendl and
Katharina Rafetseder and
Walter Zulehner A decomposition result for biharmonic
problems and the
Hellan--Herrmann--Johnson method . . . . 257--282
Bernd Brumm and
Emil Kieri A matrix-free Legendre spectral method
for initial-boundary value problems . . 283--304
Vassilis Kalantzis and
Ruipeng Li and
Yousef Saad Spectral Schur complement techniques for
symmetric eigenvalue problems . . . . . 305--329
Williams López A new geometric acceleration of the von
Neumann--Halperin projection method . . 330--341
Torsten Linß and
Goran Radojev Robust a posteriori error bounds for
spline collocation applied to singularly
perturbed reaction--diffusion problems 342--353
Xuemin Tu and
Bin Wang A BDDC algorithm for second-order
elliptic problems with hybridizable
discontinuous Galerkin discretizations 354--370
Sotirios E. Notaris Gauss--Kronrod quadrature formulae --- a
survey of fifty years of research . . . 371--404
D. Lj. Djuki\'c and
L. Reichel and
M. M. Spalevi\'c and
J. D. Tomanovi\'c Internality of generalized averaged
Gauss rules and their truncations for
Bernstein--Szeg\Ho weights . . . . . . . 405--419
Andreas Neubauer A note on optimal rates for Lavrentiev
regularization with adjoint source
conditions . . . . . . . . . . . . . . . 420--423
Martin J. Gander and
Felix Kwok and
Bankim C. Mandal Dirichlet--Neumann and Neumann--Neumann
waveform relaxation algorithms for
parabolic problems . . . . . . . . . . . 424--456
J. Blanco and
O. Rojas and
C. Chacón and
J. M. Guevara-Jordan and
J. Castillo Tensor formulation of $3$-D mimetic
finite differences and applications to
elliptic problems . . . . . . . . . . . 457--475
Mohammad Masjed-Jamei and
Gradimir V. Milovanovi\'c Weighted Hermite quadrature rules . . . 476--498
Kirk M. Soodhalter Two recursive GMRES-type methods for
shifted linear systems with general
preconditioning . . . . . . . . . . . . 499--523
Juan G. Calvo and
Olof B. Widlund An adaptive choice of primal constraints
for BDDC domain decomposition algorithms 524--544
Michael P. Friedlander and
Gabriel Goh Efficient evaluation of scaled proximal
operators . . . . . . . . . . . . . . . 1--22
Stefan Kunis and
Ines Melzer Fast evaluation of real and complex
exponential sums . . . . . . . . . . . . 23--35
Serena Morigi and
Martin Huska Sparsity-inducing variational shape
partitioning . . . . . . . . . . . . . . 36--54
Drahoslava Janovská and
Gerhard Opfer The number of zeros of unilateral
polynomials over coquaternions and
related algebras . . . . . . . . . . . . 55--70
Halil Zeybek and
S. Battal Gazi Karakoç Application of the collocation method
with B-splines to the GEW equation . . . 71--88
Jenny Niebsch and
Ronny Ramlau and
Kirk M. Soodhalter Solution of coupled differential
equations arising from imbalance
problems . . . . . . . . . . . . . . . . 89--106
Vjeran Hari and
Erna Begovi\'c Kova\vc Convergence of the cyclic and
quasi-cyclic block Jacobi methods . . . 107--147
José L. López and
Pedro J. Pagola A simplification of the stationary phase
method: application to the Anger and
Weber functions . . . . . . . . . . . . 148--161
Kirk M. Soodhalter Stagnation of block GMRES and its
relationship to block FOM . . . . . . . 162--189
Susanne C. Brenner and
Eun-Hee Park and
Li-Yeng Sung A BDDC preconditioner for a symmetric
interior penalty Galerkin method . . . . 190--214
Moritz August and
Mari Carmen Bañuls and
Thomas Huckle On the approximation of functionals of
very large Hermitian matrices
represented as matrix product operators 215--232
Daniel Gerth Convergence rates for $ l_1
$-regularization without the help of a
variational inequality . . . . . . . . . 233--244
Jens-Peter M. Zemke Variants of IDR with partial
orthonormalization . . . . . . . . . . . 245--272
Clemens Pechstein and
Clark R. Dohrmann A unified framework for adaptive BDDC 273--336
Matthew O. Adewole Almost optimal convergence of FEM-FDM
for a linear parabolic interface problem 337--358
Rashad M. Asharabi Approximating eigenvalues of boundary
value problems by using the
Hermite--Gauss sampling method . . . . . 359--374
Martijn de Jong and
Auke van der Ploeg and
Auke Ditzel and
Kees Vuik Fine-grain parallel RRB-solver for
5-/9-point stencil problems suitable for
GPU-type processors . . . . . . . . . . 375--393
Ann-Kristin Baum and
Michael Kolmbauer and
Günter Offner Topological solvability and DAE-index
conditions for mass flow controlled
pumps in liquid flow networks . . . . . 394--423
Ming Zhou and
Klaus Neymeyr Sharp Ritz value estimates for restarted
Krylov subspace iterations . . . . . . . 424--446
Jared L. Aurentz and
Thomas Mach and
Raf Vandebril and
David S. Watkins Computing the eigenvalues of symmetric
tridiagonal matrices via a Cayley
transformation . . . . . . . . . . . . . 447--459
M. Addam and
M. Heyouni and
H. Sadok The block Hessenberg process for matrix
equations . . . . . . . . . . . . . . . 460--473
Abdul K. Jumaat and
Ke Chen An optimization-based multilevel
algorithm for variational image
segmentation models . . . . . . . . . . 474--504
Zhongming Teng and
Lei-Hong Zhang A block Lanczos method for the linear
response eigenvalue problem . . . . . . 505--523
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Gian Piero Deidda and
Patricia Díaz de Alba and
Giuseppe Rodriguez Identifying the magnetic permeability in
multi-frequency EM data inversion . . . 1--17
L. Elbouyahyaoui and
M. Heyouni and
K. Jbilou and
A. Messaoudi A block Arnoldi based method for the
solution of the Sylvester-observer
equation . . . . . . . . . . . . . . . . 18--36
Kui Du and
Jurjen Duintjer Tebbens and
Gérard Meurant Any admissible harmonic Ritz value set
is possible for GMRES . . . . . . . . . 37--56
Daniel Kressner and
Robert Luce and
Francesco Statti Incremental computation of block
triangular matrix exponentials with
application to option pricing . . . . . 57--72
Davide Bianchi and
Marco Donatelli On generalized iterated Tikhonov
regularization with operator-dependent
seminorms . . . . . . . . . . . . . . . 73--99
Andreas Frommer and
Kathryn Lund and
Daniel B. Szyld Block Krylov subspace methods for
functions of matrices . . . . . . . . . 100--126
Gérard Meurant An optimal Q-OR Krylov subspace method
for solving linear systems . . . . . . . 127--152
Hong-Xiu Zhong and
Hongguo Xu Weighted Golub--Kahan--Lanczos
bidiagonalization algorithms . . . . . . 153--178
Marilena Mitrouli and
Paraskevi Roupa Vector estimates for $ f(A)b $ via
extrapolation . . . . . . . . . . . . . 179--196
Nasim Eshghi and
Lothar Reichel and
Miodrag M. Spalevi\'c Enhanced matrix function approximation 197--205
David Imberti and
Jocelyne Erhel Varying the $s$ in your $s$-step GMRES 206--230
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Xiaofei Wang and
Carmeliza Navasca and
Stefan Kindermann On accelerating the regularized
alternating least-squares algorithm for
tensors . . . . . . . . . . . . . . . . 1--14
Dana \vCerná and
Václav Fin\vek Quadratic spline wavelets with short
support satisfying homogeneous boundary
conditions . . . . . . . . . . . . . . . 15--39
Carlos Echeverría and
Jörg Liesen and
Daniel B. Szyld and
Petr Tichý Convergence of the multiplicative
Schwarz method for singularly perturbed
convection-diffusion problems
discretized on a Shishkin mesh . . . . . 40--62
Simon Baumstark and
Georgia Kokkala and
Katharina Schratz Asymptotic consistent exponential-type
integrators for
Klein--Gordon--Schrödinger systems from
relativistic to non-relativistic regimes 63--80
Abdrhaman Mahmoud and
Bo Yu and
Xuping Zhang Eigenfunction expansion method for
multiple solutions of fourth-order
ordinary differential equations with
cubic polynomial nonlinearity . . . . . 81--96
Pia Domschke and
Aseem Dua and
Jeroen J. Stolwijk and
Jens Lang and
Volker Mehrmann Adaptive refinement strategies for the
simulation of gas flow in networks using
a model hierarchy . . . . . . . . . . . 97--113
Jessika Camaño and
Cristian Muñoz and
Ricardo Oyarzúa Numerical analysis of a dual-mixed
problem in non-standard Banach spaces 114--130
Vu Hoang Linh and
Nguyen Duy Truong Runge--Kutta methods revisited for a
class of structured strangeness-free
differential-algebraic equations . . . . 131--155
Alexander Heinlein and
Axel Klawonn and
Jascha Knepper and
Oliver Rheinbach Multiscale coarse spaces for overlapping
Schwarz methods based on the ACMS space
in $2$D . . . . . . . . . . . . . . . . 156--182
Lukas Krämer and
Bruno Lang Convergence of integration-based methods
for the solution of standard and
generalized Hermitian eigenvalue
problems . . . . . . . . . . . . . . . . 183--201
Qingguo Hong and
Johannes Kraus Parameter-robust stability of classical
three-field formulation of Biot's
consolidation model . . . . . . . . . . 202--226
Natália Bebiano and
Susana Furtado and
João da Providência and
Wei-Ru Xu and
João P. da Providência Approximations for von Neumann and Renyi
entropies of graphs using the
Euler--Maclaurin formula . . . . . . . . 227--242
Georg Jansing and
Achim Schädle Convergence analysis of an explicit
splitting method for laser plasma
interaction simulations . . . . . . . . 243--263
Radek Tezaur and
Petr Van\vek Improved convergence bounds for
two-level methods with an aggressive
coarsening and massive polynomial
smoothing . . . . . . . . . . . . . . . 264--285
Günter Auzinger Model reduction in atmospheric
tomography by optimal grouping of
turbulent layers . . . . . . . . . . . . 286--309
Abdeslem Hafid Bentbib and
Abderrahman Bouhamidi and
Karim Kreit A conditional gradient method for
primal-dual total variation-based image
denoising . . . . . . . . . . . . . . . 310--328
Miljenko Maru\vsi\'c High-order exponentially fitted
difference schemes for singularly
perturbed two-point boundary value
problems . . . . . . . . . . . . . . . . 329--347
Matthias Bolten and
Karsten Kahl and
Daniel Kressner and
Francisco Macedo and
Sonja Sokolovi\'c Multigrid methods combined with low-rank
approximation for tensor-structured
Markov chains . . . . . . . . . . . . . 348--361
Andreas Frommer and
Claudia Schimmel and
Marcel Schweitzer Non-Toeplitz decay bounds for inverses
of Hermitian positive definite
tridiagonal matrices . . . . . . . . . . 362--372
Axel Klawonn and
Martin Kühn and
Oliver Rheinbach Adaptive FETI-DP and BDDC methods with a
generalized transformation of basis for
heterogeneous problems . . . . . . . . . 1--27
Leszek Marcinkowski and
Talal Rahman Additive average Schwarz with adaptive
coarse spaces: scalable algorithms for
multiscale problems . . . . . . . . . . 28--40
Gabriel R. Barrenechea and
Micha\l Bosy and
Victorita Dolean Numerical assessment of two-level domain
decomposition preconditioners for
incompressible Stokes and elasticity
equations . . . . . . . . . . . . . . . 41--63
Hyea Hyun Kim and
Eric Chung and
Junxian Wang BDDC and FETI-DP algorithms with a
change of basis formulation on adaptive
primal constraints . . . . . . . . . . . 64--80
D. Cho and
L. F. Pavarino and
S. Scacchi Isogeometric Schwarz preconditioners for
the biharmonic problem . . . . . . . . . 81--102
Hsuan-Hao Wang and
Yi-Su Lo and
Feng-Tai Hwang and
Feng-Nan Hwang A full-space
quasi-Lagrange--Newton--Krylov algorithm
for trajectory optimization problems . . 103--125
Christoph Hofer and
Ulrich Langer and
Martin Neumüller and
Ioannis Toulopoulos Time-multipatch discontinuous Galerkin
space-time isogeometric analysis of
parabolic evolution problems . . . . . . 126--150
Sarah Ali Hassan and
Caroline Japhet and
Martin Vohralík A posteriori stopping criteria for
space-time domain decomposition for the
heat equation in mixed formulations . . 151--181
Yingxiang Xu The influence of domain truncation on
the performance of optimized Schwarz
methods . . . . . . . . . . . . . . . . 182--209
Gabriele Ciaramella and
Martin J. Gander Analysis of the parallel Schwarz method
for growing chains of fixed-sized
subdomains: Part III . . . . . . . . . . 210--243
Anonymous Preface . . . . . . . . . . . . . . . . ??
Stefano Pozza and
Miroslav S. Prani\'c and
Zden\vek Strako\vs The Lanczos algorithm and complex Gauss
quadrature . . . . . . . . . . . . . . . 1--19
Rada M. Mutavd\vzi\'c and
Aleksandar V. Pej\vcev and
Miodrag M. Spalevi\'c Error bounds for Kronrod extension of
generalizations of Micchelli--Rivlin
quadrature formula for analytic
functions . . . . . . . . . . . . . . . 20--35
Giuseppe Mastroianni and
Gradimir V. Milovanovi\'c and
Incoronata Notarangelo Polynomial approximation with
Pollaczeck-Laguerre weights on the real
semiaxis. A survey . . . . . . . . . . . 36--51
Walter Gautschi and
Gradimir V. Milovanovi\'c Binet-type polynomials and their zeros 52--70
Akil Narayan Computation of induced orthogonal
polynomial distributions . . . . . . . . 71--97
Irem Kucukoglu and
Yilmaz Simsek Numerical evaluation of special power
series including the numbers of Lyndon
words: an approach to interpolation
functions for Apostol-type numbers and
polynomials . . . . . . . . . . . . . . 98--108
David Benko and
Dan Coroian and
Peter Dragnev and
Ramón Orive Probability, minimax approximation, and
Nash-equilibrium. Estimating the
parameter of a biased coin . . . . . . . 109--128
Maria Carmela De Bonis and
Donatella Occorsio A product integration rule for
hypersingular integrals on $ (0, +
\infty) $ . . . . . . . . . . . . . . . 129--143
A. H. Bentbib and
M. El Ghomari and
C. Jagels and
K. Jbilou and
L. Reichel The extended global Lanczos method for
matrix function approximation . . . . . 144--163
Aleksandar N. Jovanovi\'c and
Marija P. Stani\'c and
Tatjana V. Tomovi\'c Construction of the optimal set of
quadrature rules in the sense of Borges 164--181
Walter Van Assche and
Anton Vuerinckx Multiple Hermite polynomials and
simultaneous Gaussian quadrature . . . . 182--198
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Vijender Nallapu Bernstein fractal approximation and
fractal full Müntz theorems . . . . . . . 1--14
Tuomo Valkonen Block-proximal methods with spatially
adapted acceleration . . . . . . . . . . 15--49
Mirjana Brdar and
Sebastian Franz and
Hans-Görg Roos Numerical treatment of singularly
perturbed fourth-order two-parameter
problems . . . . . . . . . . . . . . . . 50--62
Martin Ehler and
Stefan Kunis and
Thomas Peter and
Christian Richter A randomized multivariate matrix pencil
method for superresolution microscopy 63--74
Konrad Sakowski and
Leszek Marcinkowski and
Pawel Strak and
Pawel Kempisty and
Stanislaw Krukowski On the composite discontinuous Galerkin
method for simulations of electric
properties of semiconductor devices . . 75--98
Christopher Hofmann and
Bernd Hofmann and
Alois Pichler Simultaneous identification of
volatility and interest rate functions
--- a two-parameter regularization
approach . . . . . . . . . . . . . . . . 99--117
Artem Napov and
Ronan Perrussel Revisiting aggregation-based multigrid
for edge elements . . . . . . . . . . . 118--134
Anthony Goddard and
Andy Wathen A note on parallel preconditioning for
all-at-once evolutionary PDEs . . . . . 135--150
Sk. Safique Ahmad Perturbation analysis for palindromic
and anti-palindromic nonlinear
eigenvalue problems . . . . . . . . . . 151--168
Samuel Amstutz and
Peter Gangl Topological derivative for the nonlinear
magnetostatic problem . . . . . . . . . 169--218
James R. Van Zandt Efficient cubature rules . . . . . . . . 219--239
Patrick Kürschner Approximate residual-minimizing shift
parameters for the low-rank ADI
iteration . . . . . . . . . . . . . . . 240--261
Xiao-Qiang Lei ${}_\delta^\gamma \Phi $-type inclusion
set for eigenvalues of a tensor . . . . 262--273
Christian Clason and
Vu Huu Nhu Bouligand--Levenberg--Marquardt
iteration for a non-smooth ill-posed
inverse problem . . . . . . . . . . . . 274--314
Thái Anh Nhan and
Relja Vulanovi\'c Analysis of the truncation error and
barrier-function technique for a
Bakhvalov-type mesh . . . . . . . . . . 315--330
Marija Milolo\vza Pandur Preconditioned gradient iterations for
the eigenproblem of definite matrix
pairs . . . . . . . . . . . . . . . . . 331--362
Wei-Ru Xu and
Natália Bebiano and
Guo-Liang Chen On the construction of real
non-selfadjoint tridiagonal matrices
with prescribed three spectra . . . . . 363--386
Artem Napov and
Ronan Perrussel Algebraic analysis of two-level
multigrid methods for edge elements . . 387--411
Andreas Neubauer Augmented GMRES-type versus CGNE methods
for the solution of linear ill-posed
problems . . . . . . . . . . . . . . . . 412--431
Axel Klawonn and
Martin Lanser and
Oliver Rheinbach and
Janine Weber Preconditioning the coarse problem of
BDDC methods --- three-level, algebraic
multigrid, and vertex-based
preconditioners . . . . . . . . . . . . 432--450
Niel Van Buggenhout and
Marc Van Barel and
Raf Vandebril Biorthogonal rational Krylov subspace
methods . . . . . . . . . . . . . . . . 451--468
Yuehua Feng and
Jianwei Xiao and
Ming Gu Flip-flop spectrum-revealing $ Q R $
factorization and its applications to
singular value decomposition . . . . . . 469--494
A. Badahmane and
A. H. Bentbib and
H. Sadok Preconditioned global Krylov subspace
methods for solving saddle point
problems with multiple right-hand sides 495--511
René Kehl and
Reinhard Nabben and
Daniel B. Szyld Adaptive Multilevel Krylov Methods . . . 512--528
Hong-Xiu Zhong and
Guo-Liang Chen Thick restarting the weighted harmonic
Golub--Kahan--Lanczos algorithm for the
linear response eigenvalue problem . . . 529--546
Hidesada Kanda Laminar-turbulent transition in channel
flow: wall effects and critical Reynolds
number . . . . . . . . . . . . . . . . . 547--569
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Christos Xenophontos and
Irene Sykopetritou Isogeometric analysis for singularly
perturbed problems in $1$-D: error
estimates . . . . . . . . . . . . . . . 1--25
Atika Archid and
Abdeslem Hafid Bentbib and
Said Agoujil A block J-Lanczos method for Hamiltonian
matrices . . . . . . . . . . . . . . . . 26--42
Axel Klawonn and
Martin Kühn and
Oliver Rheinbach Coarse spaces for FETI-DP and BDDC
methods for heterogeneous problems:
connections of deflation and a
generalized transformation-of-basis
approach . . . . . . . . . . . . . . . . 43--76
Henryk Leszczy\'nski and
Milena Matusik and
Monika Wrzosek Leap-frog method for stochastic
functional wave equations . . . . . . . 77--87
Chelo Ferreira and
José L. López and
Ester Pérez Sinusía The swallowtail integral in the highly
oscillatory region II . . . . . . . . . 88--99
Zuliang Lu and
Fei Huang and
Lin Li and
Xiaoxiao Zuo and
Junhong Li An empirical study of transboundary air
pollution of the Beijing--Tianjin region 100--112
Jiayin Zhai and
Zhiyue Zhang and
Tongke Wang Fractional Hermite interpolation for
non-smooth functions . . . . . . . . . . 113--131
Vassilis Kalantzis A spectral Newton--Schur algorithm for
the solution of symmetric generalized
eigenvalue problems . . . . . . . . . . 132--153
Olaf Steinbach and
Marco Zank Coercive space-time finite element
methods for initial boundary value
problems . . . . . . . . . . . . . . . . 154--194
Manuel Bello-Hernández Incomplete beta polynomials . . . . . . 195--202
Junlin Li and
Tongke Wang and
Yonghong Hao The series expansions and
Gauss--Legendre rule for computing
arbitrary derivatives of the Beta-type
functions . . . . . . . . . . . . . . . 203--213
Samy Wu Fung and
Sanna Tyrväinen and
Lars Ruthotto and
Eldad Haber ADMM-Softmax: an ADMM approach for
multinomial logistic regression . . . . 214--229
Ramiro Acevedo and
Edgardo Alvarez and
Paulo Navia A boundary and finite element coupling
for a magnetically nonlinear eddy
current problem . . . . . . . . . . . . 230--248
Nadiia Derevianko and
Jürgen Prestin Approximation of Gaussians by spherical
Gauss--Laguerre basis in the weighted
Hilbert space . . . . . . . . . . . . . 249--269
A. Gil and
J. Segura and
N. M. Temme Asymptotic inversion of the binomial and
negative binomial cumulative
distribution functions . . . . . . . . . 270--280
Alexander Linke and
Christian Merdon and
Michael Neilan Pressure-robustness in quasi-optimal a
priori estimates for the Stokes problem 281--294
S. H. Lui and
Sarah Nataj Chebyshev spectral collocation in space
and time for the heat equation . . . . . 295--319
Rashad M. Asharabi and
Fatemah M. Al-Abbas Error analysis for regularized
multidimensional sampling expansions . . 320--341
Yves Coudi\`ere and
Charlie Douanla Lontsi and
Charles Pierre Rush--Larsen time-stepping methods of
high order for stiff problems in cardiac
electrophysiology . . . . . . . . . . . 342--357
Siegfried M. Rump On recurrences converging to the wrong
limit in finite precision and some new
examples . . . . . . . . . . . . . . . . 358--369
Sk. Safique Ahmad and
Prince Kanhya Perturbation analysis on matrix pencils
for two specified eigenpairs of a
semisimple eigenvalue with multiplicity
two . . . . . . . . . . . . . . . . . . 370--390
Chien-Hong Cho and
Hisashi Okamoto Finite difference schemes for an
axisymmetric nonlinear heat equation
with blow-up . . . . . . . . . . . . . . 391--415
Khadijeh Nedaiasl Approximation of weakly singular
integral equations by sinc projection
methods . . . . . . . . . . . . . . . . 416--430
Antti Koskela and
Hermann Mena Analysis of Krylov subspace
approximation to large-scale
differential Riccati equations . . . . . 431--454
Tomás P. Barrios and
Rommel Bustinza An a-priori error analysis for
discontinuous Lagrangian finite elements
applied to nonconforming dual-mixed
formulations: Poisson and Stokes
problems . . . . . . . . . . . . . . . . 455--479
Daan Camps and
Thomas Mach and
Raf Vandebril and
David S. Watkins On pole-swapping algorithms for the
eigenvalue problem . . . . . . . . . . . 480--508
Stanislav Mazurenko and
Jyrki Jauhiainen and
Tuomo Valkonen Primal-dual block-proximal splitting for
a class of non-convex problems . . . . . 509--552
Xuemin Tu and
Bin Wang and
Jinjin Zhang Analysis of BDDC algorithms for Stokes
problems with hybridizable discontinuous
Galerkin discretizations . . . . . . . . 553--570
Siegfried M. Rump Addendum to ``On recurrences converging
to the wrong limit in finite precision
and some new examples'' . . . . . . . . 571--575
L. Shangerganesh and
J. Manimaran Mathematical and numerical analysis of
an acid-mediated cancer invasion model
with nonlinear diffusion . . . . . . . . 576--598
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Stefano Cipolla and
Michela Redivo-Zaglia and
Francesco Tudisco Shifted and extrapolated power methods
for tensor $ \ell^p$-eigenpairs . . . . 1--27
Giovanni Barbarino and
Carlo Garoni and
Stefano Serra-Capizzano Block generalized locally Toeplitz
sequences: theory and applications in
the unidimensional case . . . . . . . . 28--112
Giovanni Barbarino and
Carlo Garoni and
Stefano Serra-Capizzano Block generalized locally Toeplitz
sequences: theory and applications in
the multidimensional case . . . . . . . 113--216
Stefan Kindermann and
Kemal Raik A simplified $L$-curve method as error
estimator . . . . . . . . . . . . . . . 217--238
Robert Nasdala and
Daniel Potts Transformed rank-$1$ lattices for
high-dimensional approximation . . . . . 239--282
Alessandro Buccini and
Marco Donatelli A multigrid frame based method for image
deblurring . . . . . . . . . . . . . . . 283--312
Bernd Hofmann and
Robert Plato Convergence results and low-order rates
for nonlinear Tikhonov regularization
with oversmoothing penalty term . . . . 313--328
Alessandro Lanza and
Monica Pragliola and
Fiorella Sgallari Residual whiteness principle for
parameter-free image restoration . . . . 329--351
D. Lj. Djuki\'c and
R. M. Mutavd\vzi\'c Djuki\'c and
A. V. Pej\vcev and
M. M. Spalevi\'c Error estimates of Gaussian-type
quadrature formulae for analytic
functions on ellipses --- a survey of
recent results . . . . . . . . . . . . . 352--382
Mei-Heng Yueh and
Hsiao-Han Huang and
Tiexiang Li and
Wen-Wei Lin and
Shing-Tung Yau Optimized surface parameterizations with
applications to Chinese virtual
broadcasting . . . . . . . . . . . . . . 383--405
Valentina De Simone and
Daniela di Serafino and
Marco Viola A subspace-accelerated split Bregman
method for sparse data recovery with
joint $ \ell_1$-type regularizers . . . 406--425
Ramón Orive and
Juan C. Santos-León and
Miodrag M. Spalevi\'c Cubature formulae for the Gaussian
weight. Some old and new rules. . . . . 426--438
Michele Benzi and
Paraskevi Fika and
Marilena Mitrouli Performance and stability of direct
methods for computing generalized
inverses of the graph Laplacian . . . . 439--458
Federica Pes and
Giuseppe Rodriguez The minimal-norm Gauss--Newton method
and some of its regularized variants . . 459--480
Damiana Lazzaro and
Serena Morigi Matrix completion for matrices with
low-rank displacement . . . . . . . . . 481--499
Massimiliano Fasi and
Bruno Iannazzo Substitution algorithms for rational
matrix equations . . . . . . . . . . . . 500--521
Marlis Hochbruck and
Jan Leibold Finite element discretization of
semilinear acoustic wave equations with
kinetic boundary conditions . . . . . . 522--540
Andreas Frommer and
Brigit Jacob and
Kartsen Kahl and
Christian Wyss and
Ian Zwaan Krylov type methods for linear systems
exploiting properties of the quadratic
numerical range . . . . . . . . . . . . 541--561
Alexander Heinlein and
Axel Klawonn and
Martin Lanser and
Janine Weber A frugal FETI-DP and BDDC coarse space
for heterogeneous problems . . . . . . . 562--591
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Anonymous 25 years of ETNA: Past, Present, and
Future . . . . . . . . . . . . . . . . . ??
Luka Grubi\vsi\'c and
Matko Ljulj and
Volker Mehrmann and
Josip Tamba\vca Modeling and discretization methods for
the numerical simulation of elastic
frame structures . . . . . . . . . . . . 1--30
Carlos Echeverría and
Jörg Liesen and
Petr Tichý Analysis of the multiplicative Schwarz
method for matrices with a special block
structure . . . . . . . . . . . . . . . 31--50
Karsten Kahl and
Bruno Lang Hypergraph edge elimination --- a
symbolic phase for Hermitian
eigensolvers based on rank-1
modifications . . . . . . . . . . . . . 51--67
Peter Benner and
Davide Palitta On the solution of the nonsymmetric
T-Riccati equation . . . . . . . . . . . 68--88
José Pablo Lucero Lorca and
Guido Kanschat Multilevel Schwarz preconditioners for
singularly perturbed symmetric
reaction-diffusion systems . . . . . . . 89--107
Faisal Fairag and
Ke Chen and
Shahbaz Ahmad Analysis of the CCFD method for MC-based
image denoising problems . . . . . . . . 108--127
Sk. Safique Ahmad and
Istkhar Ali and
Ivan Slapni\vcar Perturbation analysis of matrices over a
quaternion division algebra . . . . . . 128--149
Shervan Erfani and
Esmail Babolian and
Shahnam Javadi New fractional pseudospectral methods
with accurate convergence rates for
fractional differential equations . . . 150--175
Jongho Park Pseudo-linear convergence of an additive
Schwarz method for dual total variation
minimization . . . . . . . . . . . . . . 176--197
Sebastian Franz Continuous time integration for changing
type systems . . . . . . . . . . . . . . 198--209
R. D. Falgout and
T. A. Manteuffel and
B. O'Neill and
J. B. Schroder Multigrid reduction in time with
Richardson extrapolation . . . . . . . . 210--233
Susanne C. Brenner and
José C. Garay and
Li-yeng Sung Additive Schwarz preconditioners for a
localized orthogonal decomposition
method . . . . . . . . . . . . . . . . . 234--255
Ronny Ramlau and
Bernadett Stadler An augmented wavelet reconstructor for
atmospheric tomography . . . . . . . . . 256--275
Hassan Majidian Modified Filon--Clenshaw--Curtis rules
for oscillatory integrals with a
nonlinear oscillator . . . . . . . . . . 276--295
Kyle Dunn and
Roger Lui and
Marcus Sarkis An unconditionally stable semi-implicit
CutFEM for an interaction problem
between an elastic membrane and an
incompressible fluid . . . . . . . . . . 296--322
Tomasz Hrycak and
Sebastian Schmutzhard Error bounds for the numerical
evaluation of Legendre polynomials by a
three-term recurrence . . . . . . . . . 323--332
Luisa Fermo and
Cornelis van der Mee Volterra integral equations with highly
oscillatory kernels: a new numerical
method with applications . . . . . . . . 333--354
Michael Reichelt and
Markus Windisch and
Günter Offner and
Sarah Santner A multigrid method for
elasto-hydrodynamic contact simulations
of radial slider bearing . . . . . . . . 355--369
Murat Manguo\uglu and
Volker Mehrmann A two-level iterative scheme for general
sparse linear systems based on
approximate skew-symmetrizers . . . . . 370--391
Martin Stoll and
Max Winkler Optimal Dirichlet control of partial
differential equations on networks . . . 392--419
Vanni Noferini and
Leonardo Robol and
Raf Vandebril Structured backward errors in
linearizations . . . . . . . . . . . . . 420--442
Donatella Occorsio and
Maria Grazia Russo A mixed collocation scheme for solving
second kind Fredholm integral equations
in $ [ - 1, 1] $ . . . . . . . . . . . . 443--459
Harri Hakula and
Semen Nasyrov and
Matti Vuorinen Conformal moduli of symmetric circular
quadrilaterals with cusps . . . . . . . 460--482
Martin Hanke Mathematical analysis of some iterative
methods for the reconstruction of memory
kernels . . . . . . . . . . . . . . . . 483--498
Mariarosa Mazza and
Stefano Serra-Capizzano and
Muhammad Usman Symbol-based preconditioning for Riesz
distributed-order space-fractional
diffusion equations . . . . . . . . . . 499--513
Hanno Gottschalk and
Karsten Kahl Coarsening in algebraic multigrid using
Gaussian processes . . . . . . . . . . . 514--533
Luis García Ramos and
Olivier S\`ete and
Reinhard Nabben Preconditioning the Helmholtz equation
with the shifted Laplacian and Faber
polynomials . . . . . . . . . . . . . . 534--557
Fuminori Tatsuoka and
Tomohiro Sogabe and
Yuto Miyatake and
Tomoya Kemmochi and
Shao-Liang Zhang Computing the matrix fractional power
with the double exponential formula . . 558--580
Difeng Cai and
Jianlin Xia A stable matrix version of the fast
multipole method: stabilization
strategies and examples . . . . . . . . 581--609
Stefan Steinerberger On the regularization effect of
stochastic gradient descent applied to
least-squares . . . . . . . . . . . . . 610--619
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Jörg Lampe and
Heinrich Voss A survey on variational
characterizations for nonlinear
eigenvalue problems . . . . . . . . . . 1--75
Manuel Bogoya and
Stefano Serra-Capizzano and
Ken Trotti Upper Hessenberg and Toeplitz Bohemian
matrix sequences: a note on their
asymptotical eigenvalues and singular
values . . . . . . . . . . . . . . . . . 76--91
Abdeslem H. Bentbib and
Asmaa Khouia and
Hassane Sadok The LSQR method for solving tensor
least-squares problems . . . . . . . . . 92--111
Niall Bootland and
Victorita Dolean and
Alexander Kyriakis and
Jennifer Pestana Analysis of parallel Schwarz algorithms
for time-harmonic problems using block
Toeplitz matrices . . . . . . . . . . . 112--141
Johannes Hertrich and
Fatima Antarou Ba and
Gabriele Steidl Sparse mixture models inspired by ANOVA
decompositions . . . . . . . . . . . . . 142--168
Davide Bianchi and
Alessandro Buccini and
Marco Donatelli and
Emma Randazzo Graph Laplacian for image deblurring . . 169--186
Massimiliano Lupo Pasini and
Simona Perotto Hierarchical model reduction driven by a
proper orthogonal decomposition for
parametrized
advection-diffusion-reaction problems 187--212
Ethan Dudley and
Arvind K. Saibaba and
Alen Alexanderian Monte Carlo estimators for the Schatten
$p$-norm of symmetric positive
semidefinite matrices . . . . . . . . . 213--241
Rashad M. Asharabi and
Felwah H. Al-Haddad On multidimensional sinc-Gauss sampling
formulas for analytic functions . . . . 242--262
Pengzhan Huang and
Cheng Liao A decoupling finite element method with
different time steps for the micropolar
fluid model . . . . . . . . . . . . . . 263--284
Fei Xue One-step convergence of inexact Anderson
acceleration for contractive and
non-contractive mappings . . . . . . . . 285--309
Jeremias Arf and
Bernd Simeon A space-time isogeometric method for the
partial differential-algebraic system of
Biot's poroelasticity model . . . . . . 310--340
Erin Carrier and
Michael T. Heath Exploiting compression in solving
discretized linear systems . . . . . . . 341--364
Peter Ohm and
Tobias A. Wiesner and
Eric C. Cyr and
Jonathan J. Hu and
John N. Shadid and
Raymond S. Tuminaro A monolithic algebraic multigrid
framework for multiphysics applications
with examples from resistive MHD . . . . 365--390
Minhua Wu and
Chenliang Li Modulus-based circulant and
skew-circulant splitting iteration
method for the linear complementarity
problem with a Toeplitz matrix . . . . . 391--400
Thomas R. Cameron and
Stef Graillat On a compensated Ehrlich--Aberth method
for the accurate computation of all
polynomial roots . . . . . . . . . . . . 401--423
D. R. Jandrli\'c and
D. M. Krtini\'c and
Lj. V. Mihi\'c and
A. V. Pej\vcev and
M. M. Spalevi\'c Error bounds for Gaussian quadrature
formulae with Legendre weight function
for analytic integrands . . . . . . . . 424--437
Marcel Schweitzer Decay bounds for Bernstein functions of
Hermitian matrices with applications to
the fractional graph Laplacian . . . . . 438--454
Chen Greif Structured shifts for skew-symmetric
matrices . . . . . . . . . . . . . . . . 455--468
Andreas Binder and
Onkar Jadhav and
Volker Mehrmann Error analysis of a model order
reduction framework for financial risk
analysis . . . . . . . . . . . . . . . . 469--507
Nicola Guglielmi and
Volker Mehrmann Computation of the nearest structured
matrix triplet with common null space 508--531
Kirk M. Soodhalter A note on augmented unprojected Krylov
subspace methods . . . . . . . . . . . . 532--546
Dorota \vSimonová and
Petr Tichý When does the Lanczos algorithm compute
exactly? . . . . . . . . . . . . . . . . 547--567
Mohadese Ramezani and
Reza Mokhtari and
Gundolf Haase Analysis of stability and convergence
for $L$-type formulas combined with a
spatial finite element method for
solving subdiffusion problems . . . . . 568--584
Giovanni Barbarino and
Carlo Garoni and
Mariarosa Mazza and
Stefano Serra-Capizzano Rectangular GLT sequences . . . . . . . 585--617
Lingsheng Meng A contribution to the conditioning of
the mixed least-squares scaled total
least-squares problem . . . . . . . . . 618--626
Kshitij Kumar Pandey and
Puthan Veedu Viswanathan Multivariate fractal interpolation
functions: some approximation aspects
and an associated fractal interpolation
operator . . . . . . . . . . . . . . . . 627--651
Xiangcheng Zheng and
Hong Wang A time-stepping finite element method
for a time-fractional partial
differential equation of hidden-memory
space-time variable order . . . . . . . 652--670
Kendall Atkinson and
David Chien and
Olaf Hansen Constructing diffeomorphisms between
simply connected plane domains . . . . . 671--686
Abdeselam El Haman Abdeselam and
Artem Napov and
Yvan Notay Porting an aggregation-based algebraic
multigrid method to GPUs . . . . . . . . 687--705
María González and
Hiram Varela A posteriori error estimates for
stabilised mixed finite element methods
for a nonlinear elliptic problem . . . . 706--725
Jean-Paul Berrut and
Giacomo Elefante A linear barycentric rational
interpolant on starlike domains . . . . 726--743
José C. Garay and
Frédéric Magoul\`es and
Daniel B. Szyld Synchronous and asynchronous optimized
Schwarz methods for Poisson's equation
in rectangular domains . . . . . . . . . 744--791
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Viktor Grimm and
Alexander Heinlein and
Axel Klawonn and
Martin Lanser and
Janine Weber Estimating the time-dependent contact
rate of SIR and SEIR models in
mathematical epidemiology using
physics-informed neural networks . . . . 1--27
Peter Benner and
Pawan Goyal and
Jan Heiland and
Igor Pontes Duff Operator inference and physics-informed
learning of low-dimensional models for
incompressible flows . . . . . . . . . . 28--51
Martin W. Hess and
Annalisa Quaini and
Gianluigi Rozza A comparison of reduced-order modeling
approaches using artificial neural
networks for PDEs with bifurcating
solutions . . . . . . . . . . . . . . . 52--65
Sai Manish Reddy Mekarthy and
Maryam Hashemitaheri and
Harish Cherukuri A combined finite element and machine
learning approach for the prediction of
specific cutting forces and maximum tool
temperatures in machining . . . . . . . 66--85
Nils Margenberg and
Christian Lessig and
Thomas Richter Structure preservation for the Deep
Neural Network Multigrid Solver . . . . 86--101
Karim Cherifi and
Pawan Goyal and
Peter Benner A non-intrusive method to inferring
linear port-Hamiltonian realizations
using time-domain data . . . . . . . . . 102--116
Marius Kurz and
Andrea Beck A machine learning framework for LES
closure terms . . . . . . . . . . . . . 117--137
Markus Pfeil and
Thomas Slawig Approximation of a marine ecosystem
model by artificial neural networks . . 138--156
Linyan Gu and
Wei Zhang and
Jia Liu and
Xiao-Chuan Cai Decomposition and composition of deep
convolutional neural networks and
training acceleration via sub-network
transfer learning . . . . . . . . . . . 157--186
Tak Shing Au Yeung and
Eric T. Chung and
Simon See A deep learning based nonlinear
upscaling method for transport equations 187--208
Jan Sokolowski and
Volker Schulz and
Hans-Peter Beise and
Udo Schroeder A hybrid objective function for
robustness of artificial neural
networks-estimation of parameters in a
mechanical system . . . . . . . . . . . 209--234
Matthias Eichinger and
Alexander Heinlein and
Axel Klawonn Surrogate convolutional neural network
models for steady computational fluid
dynamics simulations . . . . . . . . . . 235--255
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Bernd Hofmann and
Peter Mathé The degree of ill-posedness of composite
linear ill-posed problems with focus on
the impact of the non-compact Hausdorff
moment operator . . . . . . . . . . . . 1--16
Stefan Kindermann On the tangential cone condition for
electrical impedance tomography . . . . 17--34
Tim Jahn A probabilistic oracle inequality and
quantification of uncertainty of a
modified discrepancy principle for
statistical inverse problems . . . . . . 35--56
Daniel Gerth A note on numerical singular values of
compositions with non-compact operators 57--66
Pornsarp Pornsawad and
Christine Böckmann and
Wannapa Panitsupakamon The Levenberg--Marquardt regularization
for the backward heat equation with
fractional derivative . . . . . . . . . 67--79
Lukas Vierus and
Thomas Schuster Well-defined forward operators in
dynamic diffractive tensor tomography
using viscosity solutions of transport
equations . . . . . . . . . . . . . . . 80--100
Philip Miller and
Thorsten Hohage Convergence rates for oversmoothing
Banach space regularization . . . . . . 101--126
Thorsten Hohage and
Frank Werner Error estimates for variational
regularization of inverse problems with
general noise models for data and
operator . . . . . . . . . . . . . . . . 127--152
Sarah Leweke and
Volker Michel Regularized functional matching pursuit
for the spherical multiple-shell
electro-magnetoencephalography problem 153--192
Jan-Frederik Pietschmann and
Matthias Schlottbom Data-driven gradient flows . . . . . . . 193--215
Simon Hubmer and
Ekaterina Sherina and
Stefan Kindermann and
Kemal Raik A numerical comparison of some heuristic
stopping rules for nonlinear Landweber
iteration . . . . . . . . . . . . . . . 216--241
Anonymous Preface . . . . . . . . . . . . . . . . ??
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Benjamin Dörich and
Jan Leibold and
Bernhard Maier Optimal $ W^{1, \infty }$-estimates for
an isoparametric finite element
discretization of elliptic boundary
value problems . . . . . . . . . . . . . 1--21
Fayçal Chaouqui and
Edmond Chow and
Daniel B. Szyld Asynchronous domain decomposition
methods for nonlinear PDEs . . . . . . . 22--42
Federico Danieli and
Scott MacLachlan Multigrid reduction in time for
non-linear hyperbolic equations . . . . 43--65
Yanru Su and
Xuemin Tu and
Yingxiang Xu Robust BDDC algorithms for finite volume
element methods . . . . . . . . . . . . 66--83
Fang Chen and
Bi-Cong Ren A modified alternating positive
semidefinite splitting preconditioner
for block three-by-three saddle point
problems . . . . . . . . . . . . . . . . 84--100
Tomasz Bochacik A note on the probabilistic stability of
randomized Taylor schemes . . . . . . . 101--114
Christian E. Schaerer and
Daniel B. Szyld and
Pedro J. Torres A posteriori superlinear convergence
bounds for block conjugate gradient . . 115--135
Matthias Bolten and
Sven-Erik Ekström and
Isabella Furci and
Stefano Serra-Capizzano A note on the spectral analysis of
matrix sequences via GLT momentary
symbols: from all-at-once solution of
parabolic problems to distributed
fractional order matrices . . . . . . . 136--163
James Baglama and
Vasilije Perovi\'c Explicit deflation in
Golub--Kahan--Lanczos bidiagonalization
methods . . . . . . . . . . . . . . . . 164--176
Sean Hon and
Stefano Serra-Capizzano A block Toeplitz preconditioner for
all-at-once systems from linear wave
equations . . . . . . . . . . . . . . . 177--195
Marc Mezzarobba Rounding error analysis of linear
recurrences using generating series . . 196--227
Bo Gong and
Jiguang Sun Regular convergence and finite element
methods for eigenvalue problems . . . . 228--243
Lei Gao and
Chaoqian Li On Cvetkovi\'c--Kosti\'c--Varga type
matrices . . . . . . . . . . . . . . . . 244--270
Anthony P. Austin On trigonometric interpolation in an
even number of points . . . . . . . . . 271--288
Rajmadan Lakshmanan and
Alois Pichler and
Daniel Potts Nonequispaced Fast Fourier Transform
Boost for the Sinkhorn Algorithm . . . . 289--315
Yuli Eidelman and
Iulian Haimovici Improved bisection eigenvalue method for
band symmetric Toeplitz matrices . . . . 316--347
Alessandro Buccini and
Lucas Onisk and
Lothar Reichel Range restricted iterative methods for
linear discrete ill-posed problems . . . 348--377
Maria Carmela De Bonis and
Abdelaziz Mennouni and
Donatella Occorsio A numerical method for solving systems
of hypersingular integro-differential
equations . . . . . . . . . . . . . . . 378--393
William Layton and
Shuxian Xu Conditioning of linear systems arising
from penalty methods . . . . . . . . . . 394--401
Tim Mitchell Fast computation of Sep$_\lambda $ via
interpolation-based globality
certificates . . . . . . . . . . . . . . 402--431
Jilali Abouir and
Brahim Benouahmane and
Yassine Chakir Rational symbolic cubature rules over
the first quadrant in a Cartesian plane 432--449
Pallavi Mahale and
Ankit Singh Iterative Lavrentiev regularization
method under a heuristic rule for
nonlinear ill-posed operator equations 450--469
F. Bouyghf and
A. Messaoudi and
H. Sadok An enhancement of the convergence of the
IDR method . . . . . . . . . . . . . . . 470--485
Mirjeta Pasha and
Arvind K. Saibaba and
Silvia Gazzola and
Malena I. Español and
Eric de Sturler A computational framework for
edge-preserving regularization in
dynamic inverse problems . . . . . . . . 486--516
Eleonora Denich and
Laura Grazia Dolce and
Paolo Novati A Gauss--Laguerre approach for the
resolvent of fractional powers . . . . . 517--537
Shengjie Xu and
Fei Xue Inexact rational Krylov subspace methods
for approximating the action of
functions of matrices . . . . . . . . . 538--567
Piotr Jastrz\kebski and
Adam Lecko An evolutionary approach to the
coefficient problems in the class of
starlike functions . . . . . . . . . . . 568--581
Y. V. Semenova and
S. G. Solodky An optimal method for recovering the
mixed derivative $ f^{(2, 2)} $ of
bivariate functions . . . . . . . . . . 582--596
Ming Zhou and
Klaus Neymeyr Convergence rates of individual Ritz
values in block preconditioned
gradient-type eigensolvers . . . . . . . 597--620
Thomas P. Wihler A generalized Sassenfeld criterion and
its relation to H-matrices . . . . . . . 621--628
Claude Brezinski and
Michela Redivo-Zaglia Reuben Louis Rosenberg (1909--1986) and
the Stein--Rosenberg theorem . . . . . . 629--656
Siobhán Correnty and
Elias Jarlebring and
Daniel B. Szyld Preconditioned Chebyshev BiCG method for
parameterized linear systems . . . . . . 629--656
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Alec Jacopo Almo Schiavoni-Piazza and
Stefano Serra-Capizzano Distribution results for a special class
of matrix sequences: joining
approximation theory and asymptotic
linear algebra . . . . . . . . . . . . . 1--8
Luisa Fermo and
Domenico Mezzanotte and
Donatella Occorsio On the numerical solution of Volterra
integral equations on equispaced nodes 9--23
Yu Deng and
Bernd Hofmann and
Frank Werner Deautoconvolution in the two-dimensional
case . . . . . . . . . . . . . . . . . . 24--42
Silvia Noschese The structured distance to singularity
of a symmetric tridiagonal Toeplitz
matrix . . . . . . . . . . . . . . . . . 43--59
Yuli Eidelman and
Iulian Haimovici The bisection eigenvalue method for
unitary Hessenberg matrices via their
quasiseparable structure . . . . . . . . 60--88
Aleksandar V. Pej\vcev A note on ``Error bounds of Gaussian
quadrature formulae with Legendre weight
function for analytic integrands'' by M.
M. Spalevi\'c et al. . . . . . . . . . . 89--98
Gradimir V. Milovanovi\'c Orthogonality on the semicircle: old and
new results . . . . . . . . . . . . . . 99--115
Simon Hubmer and
Ekaterina Sherina and
Ronny Ramlau Characterizations of adjoint Sobolev
embedding operators with applications in
inverse problems . . . . . . . . . . . . 116--144
Dusan Lj. Djuki\'c and
Rada M. Mutavd\vzi\'c Djuki\'c and
Lothar Reichel and
Miodrag M. Spalevi\'c Optimal averaged Padé-type approximants 145--156
Marco Donatelli and
Paola Ferrari and
Silvia Gazzola Symmetrization techniques in image
deblurring . . . . . . . . . . . . . . . 157--178
Zorica Milovanovi\'c Jekni\'c and
Bratislav Sredojevi\'c and
Dejan Bojovi\'c On the numerical solution of an elliptic
problem with nonlocal boundary
conditions . . . . . . . . . . . . . . . 179--201
Alessandro Lanza and
Monica Pragliola and
Fiorella Sgallari Parameter-free restoration of piecewise
smooth images . . . . . . . . . . . . . 202--229
Jelena Tomanovi\'c Gauss-type quadrature rules with respect
to external zeros of the integrand . . . 230--249
T. DeLillo and
J. Mears and
S. Sahraei Computation of potential flow in
multiply connected domains using
conformal mapping . . . . . . . . . . . 250--269
J. Chen and
V. Dwarka and
C. Vuik A matrix-free parallel solution method
for the three-dimensional heterogeneous
Helmholtz equation . . . . . . . . . . . 270--294
Donatella Occorsio and
Giuliana Ramella and
Woula Themistoclakis Filtered polynomial interpolation for
scaling $3$D images . . . . . . . . . . 295--318
Martin J. Gander and
Luká\vs Jakab\vcin and
Michal Outrata Domain truncation, absorbing boundary
conditions, Schur complements, and Padé
approximation . . . . . . . . . . . . . 319--341
Bratislav Sredojevi\'c and
Zorica Milovanovi\'c Jekni\'c and
Dejan Bojovi\'c A finite difference scheme for the
approximation of the third initial
boundary value parabolic problem . . . . 342--355
Anonymous Table of contents and abstracts . . . . ??
Anonymous Title page . . . . . . . . . . . . . . . ??
Harri Hakula and
Mohamed M. S. Nasser and
Matti Vuorinen Mobile disks in hyperbolic space and
minimization of conformal capacity . . . 1--19
Jonas Haug and
Ray Treinen Multi-scale spectral methods for bounded
radially symmetric capillary surfaces 20--39
Erin Carson and
Ieva Dau\vzickait\.e The stability of split-preconditioned
FGMRES in four precisions . . . . . . . 40--58
Carlota M. Cuesta and
Francisco de la Hoz and
Ivan Girona Numerical computation of the half
Laplacian by means of a fast convolution
algorithm . . . . . . . . . . . . . . . 59--98
Torsten Linss and
Natalia Kopteva and
Goran Radojev and
Martin Ossadnik A review of maximum-norm a posteriori
error bounds for
time-semidiscretisations of parabolic
equations . . . . . . . . . . . . . . . 99--122
M. Errachid and
A. Essanhaji and
A. Messaoudi Dimensional reduction for multivariate
Lagrange polynomial interpolation
problems . . . . . . . . . . . . . . . . 123--135
Bailey Rester and
Anzhelika Vasilyeva and
James V. Lambers Convergence analysis of a Krylov
subspace spectral method for the $1$D
wave equation in an inhomogeneous medium 136--168
Lo\"\ic Gouarin and
Nicole Spillane Fully algebraic domain decomposition
preconditioners with adaptive spectral
bounds . . . . . . . . . . . . . . . . . 169--196
Jemima M. Tabeart and
John W. Pearson Saddle point preconditioners for
weak-constraint 4D-Var . . . . . . . . . 197--220
Susanne Bradley and
Chen Greif Augmentation-based preconditioners for
saddle-point systems with singular
leading blocks . . . . . . . . . . . . . 221--237
Erna Begovi\'c Kova\vc and
Ana Perkovi\'c Convergence of the Eberlein
diagonalization method under generalized
serial pivot strategies . . . . . . . . 238--255
Robert Altmann and
Matthias Deiml A novel iterative time integration
scheme for linear poroelasticity . . . . 256--275
Jörg Liesen and
Justus Ramme Spectral properties of certain
nonsymmetric saddle point matrices . . . 276--291
Apostolos Hadjidimos and
Xiezhang Li and
Richard S. Varga Application of the Schur--Cohn Theorem
to the precise convergence domain for a
$p$-cyclic SOR iteration matrix . . . . 292--326
Stefano Pozza and
Niel Van Buggenhout A new Legendre polynomial-based approach
for non-autonomous linear ODEs . . . . . 292--326
Dario A. Bini Numerical computation of the roots of
Mandelbrot polynomials: an experimental
analysis . . . . . . . . . . . . . . . . 1--27
Domenico Mezzanotte and
Donatella Occorsio Simultaneous approximation of Hilbert
and Hadamard transforms on bounded
intervals . . . . . . . . . . . . . . . 28--50
Kathryn Lund and
Davide Palitta Low-rank-modified Galerkin methods for
the Lyapunov equation . . . . . . . . . 1--21