Last update:
Thu Nov 30 06:08:54 MST 2023
Norbert Heuer An iterative substructuring method for
the $p$-version of the boundary element
method for hypersingular integral
operators in three dimensions . . . . . 371--396
Yu-hong Dai and
Ya-xiang Yuan Global convergence of the method of
shortest residuals . . . . . . . . . . . 581--598
A. Bellen and
S. Maset Numerical solution of constant
coefficient linear delay differential
equations as abstract Cauchy problems 351--374
Jean-David Benamou and
Yann Brenier A computational fluid mechanics solution
to the Monge--Kantorovich mass transfer
problem . . . . . . . . . . . . . . . . 375--393
Carsten Carstensen and
Tomás Roubí\vcek Numerical approximation of Young
measures in non-convex variational
problems . . . . . . . . . . . . . . . . 395--415
M. Costabel and
J. Saranen Spline collocation for convolutional
parabolic boundary integral equations 417--449
Michael J. Johnson An improved order of approximation for
thin-plate spline interpolation in the
unit disc . . . . . . . . . . . . . . . 451--474
Ming-Jun Lai and
Paul Wenston On Schwarz's domain decomposition
methods for elliptic boundary value
problems . . . . . . . . . . . . . . . . 475--495
Rudolf Scherer and
Thomas Schira Estimating quadrature errors for
analytic functions using kernel
representations and biorthogonal systems 497--518
Jungong Xue and
Weiguo Gao Blockwise perturbation theory for block
$p$-cyclic stochastic matrices . . . . . 519--526
Zhiming Chen and
Ricardo H. Nochetto Residual type a posteriori error
estimates for elliptic obstacle problems 527--548
Sergey Korotov and
Michal K\vrí\vzek Finite element analysis of variational
crimes for a quasilinear elliptic
problem in 3D . . . . . . . . . . . . . 549--576
Patrick Lacoste Solution of Maxwell equation in
axisymmetric geometry by Fourier series
decomposition and by use of $H$ (rot)
conforming finite element . . . . . . . 577--609
Juhani Pitkäranta and
Manil Suri Upper and lower error bounds for
plate-bending finite elements . . . . . 611--648
Andreas Prohl A first order projection-based
time-splitting scheme for computing
chemically reacting flows . . . . . . . 649--677
Olaf Steinbach On a hybrid boundary element method . . 679--695
Jürgen Bey Simplicial grid refinement: on
Freudenthal's algorithm and the optimal
number of congruence classes . . . . . . 1--29
F. Brezzi and
D. Marini and
E. Süli Residual-free bubbles for
advection-diffusion problems: the
general error analysis . . . . . . . . . 31--47
G. Buscaglia and
M. Jai Sensitivity analysis and Taylor
expansions in numerical homogenization
problems . . . . . . . . . . . . . . . . 49--75
Mikko Lyly On the connection between some linear
triangular Reissner--Mindlin plate
bending elements . . . . . . . . . . . . 77--107
Yongzhong Song Semiconvergence of nonnegative
splittings for singular matrices . . . . 109--127
S. A. De Swardt and
J. M. De Villiers Gregory type quadrature based on
quadratic nodal spline interpolation . . 129--153
Yuan Xu Constructing cubature formulae by the
method of reproducing kernel . . . . . . 155--173
Lutz Angermann A finite element method for the
numerical solution of
convection-dominated anisotropic
diffusion equations . . . . . . . . . . 175--195
Douglas N. Arnold and
Richard S. Falk and
Ragnar Winther Multigrid in $H$ (div) and $H$ (curl) 197--217
Ivo Babu\vska Optimal estimates for lower and upper
bounds of approximation errors in the
$p$-version of the finite element method
in two dimensions . . . . . . . . . . . 219--255
F. Ben Belgacem and
C. Bernardi and
N. Chorfi and
Y. Maday Inf-sup conditions for the mortar
spectral element discretization of the
Stokes problem . . . . . . . . . . . . . 257--281
Charbel Farhat and
Antonini Macedo and
Michel Lesoinne A two-level domain decomposition method
for the iterative solution of high
frequency exterior Helmholtz problems 283--308
Andreas Neubauer On Landweber iteration for nonlinear
ill-posed problems in Hilbert scales . . 309--328
Simon Shaw and
J. R. Whiteman Negative norm error control for
second-kind convolution Volterra
equations . . . . . . . . . . . . . . . 329--341
Mark Ainsworth and
Benqi Guo An additive Schwarz preconditioner for
$p$-version boundary element
approximation of the hypersingular
operator in three dimensions . . . . . . 343--366
Houde Han and
Changhong He and
Xiaonan Wu Analysis of artificial boundary
conditions for exterior boundary value
problems in three dimensions . . . . . . 367--386
Bernd Mulansky and
Jochen W. Schmidt Composition based staircase algorithm
and constrained interpolation with
boundary conditions . . . . . . . . . . 387--408
E. Simonnet A variational crime on the tangent
bundle of the sphere . . . . . . . . . . 409--431
Thanh Tran and
Ernst P. Stephan Additive Schwarz algorithms for the
$p$-version of the Galerkin boundary
element method . . . . . . . . . . . . . 433--468
Shayne Waldron Minimally supported error
representations and approximation by the
constants . . . . . . . . . . . . . . . 469--484
Jianhua Wang and
C. V. Pao Finite difference reaction-diffusion
equations with nonlinear diffusion
coefficients . . . . . . . . . . . . . . 485--502
Jing Zhang and
Fumio Kikuchi Interpolation error estimates of a
modified $8$-node serendipity finite
element . . . . . . . . . . . . . . . . 503--524
A. Aslanyan and
E. B. Davies Spectral instability for some Schrödinger
operators . . . . . . . . . . . . . . . 525--552
Bernhard Beckermann The condition number of real
Vandermonde, Krylov and positive
definite Hankel matrices . . . . . . . . 553--577
C. Bernardi and
R. Verfürth Adaptive finite element methods for
elliptic equations with non-smooth
coefficients . . . . . . . . . . . . . . 579--608
Blaise Bourdin and
Antonin Chambolle Implementation of an adaptive
finite-element approximation of the
Mumford--Shah functional . . . . . . . . 609--646
G. Dolzmann and
N. J. Walkington Estimates for numerical approximations
of rank one convex envelopes . . . . . . 647--663
Aaron E. Naiman and
Shlomo Engelberg A note on conjugate gradient convergence
--- Part II . . . . . . . . . . . . . . 665--683
Shlomo Engelberg and
Aaron E. Naiman A note on conjugate gradient convergence
--- Part III . . . . . . . . . . . . . . 685--696
Silvia Bertoluzza Wavelet stabilization of the Lagrange
multiplier method . . . . . . . . . . . 1--28
Lawrence Chilton and
Manil Suri On the construction of stable
curvilinear $p$ version elements for
mixed formulations of elasticity and
Stokes flow . . . . . . . . . . . . . . 29--48
Wolfgang Dahmen and
Reinhold Schneider and
Yuesheng Xu Nonlinear functionals of wavelet
expansions --- adaptive reconstruction
and fast evaluation . . . . . . . . . . 49--101
I. G. Graham and
W. Hackbusch and
S. A. Sauter Discrete boundary element methods on
general meshes in 3D . . . . . . . . . . 103--137
I. G. Graham and
W. Hackbusch and
S. A. Sauter Hybrid Galerkin boundary elements:
theory and implementation . . . . . . . 139--172
Tino Koch and
Jörg Liesen The conformal `bratwurst' maps and
associated Faber polynomials . . . . . . 173--191
A. Cohen and
R. Masson Wavelet adaptive method for second order
elliptic problems: boundary conditions
and domain decomposition . . . . . . . . 193--238
Clint N. Dawson and
Mónica L. Martínez-Canales A characteristic-Galerkin approximation
to a system of shallow water equations 239--256
Marko Huhtanen and
Olavi Nevanlinna Minimal decompositions and iterative
methods . . . . . . . . . . . . . . . . 257--281
G. Kunert and
R. Verfürth Edge residuals dominate a posteriori
error estimates for linear finite
element methods on anisotropic
triangular and tetrahedral meshes . . . 283--303
Jae Ryong Kweon An optimal order convergence for a weak
formulation of the compressible Stokes
system with inflow boundary condition 305--318
A. M. Matache and
I. Babu\vska and
C. Schwab Generalized $p$-FEM in homogenization 319--375
Steinar Evje and
Kenneth Hvistendahl Karlsen Discrete approximations of $BV$
solutions to doubly nonlinear degenerate
parabolic equations . . . . . . . . . . 377--417
Javier de Frutos and
Bosco García-Archilla and
Julia Novo A postprocessed Galerkin method with
Chebyshev or Legendre polynomials . . . 419--442
Georgij M. Kobelkov and
Maxim A. Olshanskii Effective preconditioning of Uzawa type
schemes for a generalized Stokes problem 443--470
Gerd Kunert An a posteriori residual error estimator
for the finite element method on
anisotropic tetrahedral meshes . . . . . 471--490
Wenbin Liu Finite element approximation of a
nonlinear elliptic equation arising from
bimaterial problems in elastic-plastic
mechanics . . . . . . . . . . . . . . . 491--506
L. Pasquini Accurate computation of the zeros of the
generalized Bessel polynomials . . . . . 507--538
T. Washio and
C. W. Oosterlee Error analysis for a potential problem
on locally refined grids . . . . . . . . 539--563
Mario Bebendorf Approximation of boundary element
matrices . . . . . . . . . . . . . . . . 565--589
R. G. Durán and
L. Hervella-Nieto and
E. Liberman and
R. Rodríguez and
J. Solomin Finite element analysis of the vibration
problem of a plate coupled with a fluid 591--616
Walter Gautschi and
Laura Gori and
M. Laura Lo Cascio Quadrature rules for rational functions 617--633
Ben-Yu Guo and
Jie Shen Laguerre--Galerkin method for nonlinear
partial differential equations on a
semi-infinite interval . . . . . . . . . 635--654
G. Monegato and
L. Scuderi Global polynomial approximation for
Symm's equation on polygons . . . . . . 655--683
Friederike Schröder-Pander and
Thomas Sonar and
Oliver Friedrich Generalized multiresolution analysis on
unstructured grids . . . . . . . . . . . 685--715
Gisela Timmermann A cascadic multigrid algorithm for
semilinear elliptic problems . . . . . . 717--731
Andrea Toselli Overlapping Schwarz methods for
Maxwell's equations in three dimensions 733--752
Samir Adly and
Daniel Goeleven A discretization theory for a class of
semi-coercive unilateral problems . . . 1--34
Raymond H. Chan and
Wai Ki Ching Circulant preconditioners for stochastic
automata networks . . . . . . . . . . . 35--57
Ramon Codina and
Jordi Blasco Analysis of a pressure-stabilized finite
element approximation of the stationary
Navier--Stokes equations . . . . . . . . 59--81
J.-F. Gerbeau A stabilized finite element method for
the incompressible magnetohydrodynamic
equations . . . . . . . . . . . . . . . 83--111
Günther Grün and
Martin Rumpf Nonnegativity preserving convergent
schemes for the thin film equation . . . 113--152
Bruce Kellogg and
Biyue Liu The analysis of a finite element method
for the Navier--Stokes equations with
compressibility . . . . . . . . . . . . 153--170
J. Mateja\vs Quadratic convergence of scaled matrices
in Jacobi method . . . . . . . . . . . . 171--199
Alfredo Bermúdez and
Rodolfo Rodríguez and
Duarte Santamarina A finite element solution of an added
mass formulation for coupled fluid-solid
vibrations . . . . . . . . . . . . . . . 201--227
Daniele Boffi Fortin operator and discrete compactness
for edge elements . . . . . . . . . . . 229--246
William W. Hager Runge--Kutta methods in optimal control
and the transformed adjoint system . . . 247--282
Weimin Han and
B. Daya Reddy Convergence of approximations to the
primal problem in plasticity under
conditions of minimal regularity . . . . 283--315
Patrick Le Tallec and
Saloua Mani Numerical analysis of a linearised
fluid-structure interaction problem . . 317--354
S. Maset Stability of Runge--Kutta methods for
linear delay differential equations . . 355--371
V. Thomée and
L. B. Wahlbin Stability and analyticity in
maximum-norm for simplicial Lagrange
finite element semidiscretizations of
parabolic equations with Dirichlet
boundary conditions . . . . . . . . . . 373--389
Shao-Liang Zhang and
Yoshio Oyanagi and
Masaaki Sugihara Necessary and sufficient conditions for
the convergence of Orthomin($k$) on
singular and inconsistent linear systems 391--405
Christian Bourgeois and
Serge Nicaise Prewavelet analysis of the heat equation 407--434
Asen L. Dontchev and
Houduo Qi and
Liqun Qi Convergence of Newton's method for
convex best interpolation . . . . . . . 435--456
Torsten Linß and
Martin Stynes The SDFEM on Shishkin meshes for linear
convection-diffusion problems . . . . . 457--484
Peter Maaß and
Sergei V. Pereverzev and
Ronny Ramlau and
Sergei G. Solodky An adaptive discretization for
Tikhonov--Phillips regularization with a
posteriori parameter selection . . . . . 485--502
T. Tachim Medjo New formulations of a Stokes type
problem related to the primitive
equations of the atmosphere and
applications . . . . . . . . . . . . . . 503--522
Julia Novo and
Edriss S. Titi and
Shannon Wynne Efficient methods using high accuracy
approximate inertial manifolds . . . . . 523--554
Gerlind Plonka and
Amos Ron A new factorization technique of the
matrix mask of univariate refinable
functions . . . . . . . . . . . . . . . 555--595
Rodolfo Bermejo Analysis of a class of quasi-monotone
and conservative semi-Lagrangian
advection schemes . . . . . . . . . . . 597--623
Borislav D. Bojanov and
Petar P. Petrov Gaussian interval quadrature formula . . 625--643
C. Bourdarias Convergence of fluctuation-splitting
schemes for two dimensional scalar
conservation laws with a kinetic solver 645--662
Alfredo Eisinberg and
Paolo Pugliese and
Nicola Salerno Vandermonde matrices on integer nodes:
the rectangular case . . . . . . . . . . 663--674
Daisuke Furihata A stable and conservative finite
difference scheme for the Cahn--Hilliard
equation . . . . . . . . . . . . . . . . 675--699
Chi-Tien Lin and
Eitan Tadmor ${L}^1$-Stability and error estimates
for approximate Hamilton--Jacobi
solutions . . . . . . . . . . . . . . . 701--735
Mario Ohlberger A posteriori error estimate for finite
volume approximations to singularly
perturbed nonlinear convection-diffusion
equations . . . . . . . . . . . . . . . 737--761
Brynjulf Owren and
Arne Marthinsen Integration methods based on canonical
coordinates of the second kind . . . . . 763--790
Walter Gautschi \em Note: Barycentric formulae for
cardinal (SINC-) interpolants by
Jean-Paul Berrut . . . . . . . . . . . . 791--792
Norbert Heuer Erratum: ``An iterative substructuring
method for the $p$-version of the
boundary element method for
hypersingular integral operators in
three dimensions'' Numer. Math. (1998)
79: 371--396 . . . . . . . . . . . . . . 793--794
Holger Boche Konvergente
Lagrange-Interpolationspolynome für die
Disk-Algebra. (German) [Convergent
Lagrange interpolation polynomials for
disk algebra] . . . . . . . . . . . . . 1--7
Wolfgang Dahmen and
Angela Kunoth Appending boundary conditions by
Lagrange multipliers: Analysis of the
LBB condition . . . . . . . . . . . . . 9--42
Leszek Demkowicz and
Frank Ihlenburg Analysis of a coupled finite-infinite
element method for exterior Helmholtz
problems . . . . . . . . . . . . . . . . 43--73
V. Girault and
R. Glowinski and
H. López and
J.-P. Vila A boundary multiplier/fictitious domain
method for the steady incompressible
Navier--Stokes equations . . . . . . . . 75--103
Ming-Jun Lai and
Larry L. Schumaker Macro-elements and stable local bases
for splines on Clough--Tocher
triangulations . . . . . . . . . . . . . 105--119
Corrado Lattanzio and
Denis Serre Convergence of a relaxation scheme for
hyperbolic systems of conservation laws 121--134
Miljenko Maru\vsi\'c A fourth/second order accurate
collocation method for singularly
perturbed two-point boundary value
problems using tension splines . . . . . 135--158
Krzysztof Moszy\'nski Approximation with frequency filter for
backward parabolic equations . . . . . . 159--183
Arian Novruzi ${C}^1$ error estimation on the boundary
for an exterior Neumann problem in
$\mathbb {R}^3$ . . . . . . . . . . . . 185--201
Eberhard Bänsch Finite element discretization of the
Navier--Stokes equations with a free
capillary surface . . . . . . . . . . . 203--235
Gabriel R. Barrenechea and
Gabriel N. Gatica A primal mixed formulation for exterior
transmission problems in ${\bf R}^2$ . . 237--253
John W. Barrett and
James F. Blowey An improved error bound for a finite
element approximation of a model for
phase separation of a multi-component
alloy with a concentration dependent
mobility matrix . . . . . . . . . . . . 255--297
G. Carlier and
T. Lachand-Robert and
B. Maury A numerical approach to variational
problems subject to convexity constraint 299--318
Xiao-Wen Chang and
Christopher C. Paige Componentwise perturbation analyses for
the QR factorization . . . . . . . . . . 319--345
Andreas Rieder On convergence rates of inexact Newton
regularizations . . . . . . . . . . . . 347--365
Olaf Steinbach On the stability of the $L_2$ projection
in fractional Sobolev spaces . . . . . . 367--379
Xuejun Xu and
Jinru Chen Multigrid for the mortar element method
for P1 nonconforming element . . . . . . 381--398
Wolfgang Dahmen and
Birgit Gottschlich-Müller and
Siegfried Müller Multiresolution schemes for conservation
laws . . . . . . . . . . . . . . . . . . 399--443
N. Guglielmi and
M. Zennaro On the zero-stability of variable
stepsize multistep methods: the spectral
radius approach . . . . . . . . . . . . 445--458
Bernard Haasdonk and
Dietmar Kröner and
Christian Rohde Convergence of a staggered
Lax--Friedrichs scheme for nonlinear
conservation laws on unstructured
two-dimensional grids . . . . . . . . . 459--484
Norbert Heuer Additive Schwarz method for the
$p$-version of the boundary element
method for the single layer potential
operator on a plane screen . . . . . . . 485--511
Hailiang Liu and
Jinghua Wang and
Gerald Warnecke Convergence rates to discrete shocks for
nonconvex conservation laws . . . . . . 513--541
Jan Mandel and
Radek Tezaur On the convergence of a dual-primal
substructuring method . . . . . . . . . 543--558
Petr Van\vek and
Marian Brezina and
Jan Mandel Convergence of algebraic multigrid based
on smoothed aggregation . . . . . . . . 559--579
Harry Yserentant The propagation of sound in particle
models of compressible fluids . . . . . 581--601
Zhi-Hao Cao A note on properties of splittings of
singular symmetric positive semidefinite
matrices . . . . . . . . . . . . . . . . 603--606
Claire Chainais-Hillairet and
Sylvie Champier Finite volume schemes for nonhomogeneous
scalar conservation laws: error estimate 607--639
Zhiming Chen On the augmented Lagrangian approach to
Signorini elastic contact problem . . . 641--659
Peter Knabner and
Gerhard Summ The invertibility of the isoparametric
mapping for pyramidal and prismatic
finite elements . . . . . . . . . . . . 661--681
Alexander Kurganov and
Guergana Petrova A third-order semi-discrete genuinely
multidimensional central scheme for
hyperbolic conservation laws and related
problems . . . . . . . . . . . . . . . . 683--729
Qun Lin and
Ningning Yan and
Aihui Zhou A sparse finite element method with high
accuracy Part I . . . . . . . . . . . . 731--742
Simon Shaw and
John R. Whiteman Optimal long-time $L_p(0,T)$ stability
and semidiscrete error estimates for the
Volterra formulation of the linear
quasistatic viscoelasticity problem . . 743--770
Ronald Stöver Collocation methods for solving linear
differential-algebraic boundary value
problems . . . . . . . . . . . . . . . . 771--795
Grégoire Allaire and
Carlos Castro A new approach for the optimal
distribution of assemblies in a nuclear
reactor . . . . . . . . . . . . . . . . 1--29
O. Axelsson and
S. V. Gololobov Stability and error estimates for the
$\theta$-method for strongly monotone
and infinitely stiff evolution equations 31--48
Dario Andrea Bini and
Luca Gemignani and
Beatrice Meini Factorization of analytic functions by
means of Koenig's theorem and Toeplitz
computations . . . . . . . . . . . . . . 49--82
Yu-Hong Dai New properties of a nonlinear conjugate
gradient method . . . . . . . . . . . . 83--98
Bruno Després Lagrangian systems of conservation laws 99--134
Christian Kanzow Strictly feasible equation-based methods
for mixed complementarity problems . . . 135--160
Carlos Parés and
Jorge Macías and
Manuel Castro Duality methods with an automatic choice
of parameters: Application to shallow
water equations in conservative form . . 161--189
V. Thomée and
L. B. Wahlbin Erratum: \em Stability and analyticity
in maximum-norm for simplicial Lagrange
finite element semidiscretizations of
parabolic equations with Dirichlet
boundary conditions, Numer. Math. 87
(2), 2000, pp. 373--389 . . . . . . . . 191--191
Thomas Apel and
Serge Nicaise and
Joachim Schöberl Crouzeix--Raviart type finite elements
on anisotropic meshes . . . . . . . . . 193--223
Ivo Babu\vska and
Miloslav Feistauer and
Pavel Solín On one approach to a posteriori error
estimates for evolution problems solved
by the method of lines . . . . . . . . . 225--256
Alain Bachelot and
Laurent Bounhoure and
Agn\`es Pujols Couplage éléments finis-potentiels retardés
pour la diffraction électromagnétique par
un obstacle hétérog\`ene . . . . . . . . . 257--306
Mario A. Casarin Schwarz preconditioners for the spectral
element discretization of the steady
Stokes and Navier--Stokes equations . . 307--339
Wenbin Liu and
Ningning Yan Quasi-norm a priori and a posteriori
error estimates for the nonconforming
approximation of $p$-Laplacian . . . . . 341--378
Giancarlo Sangalli A robust a posteriori estimator for the
Residual-free Bubbles method applied to
advection-diffusion problems . . . . . . 379--399
Yves Achdou and
Nicoletta Tchou A finite difference scheme on a non
commutative group . . . . . . . . . . . 401--424
Ernesto Aranda and
Pablo Pedregal Numerical approximation of
non-homogeneous, non-convex vector
variational problems . . . . . . . . . . 425--444
M. Be\'ska and
K. Dziedziul Asymptotic formula for the error in
cardinal interpolation . . . . . . . . . 445--456
F. Brezzi and
M. Fortin A minimal stabilisation procedure for
mixed finite element methods . . . . . . 457--491
C. Chalons and
P. G. LeFloch A fully discrete scheme for
diffusive-dispersive conservation laws 493--509
Zhiping Li A mesh transformation method for
computing microstructures . . . . . . . 511--533
Ana C. Matos Recursive computation of Padé-Legendre
approximants and some acceleration
properties . . . . . . . . . . . . . . . 535--560
Karol Mikula and
Narisoa Ramarosy Semi-implicit finite volume scheme for
solving nonlinear diffusion equations in
image processing . . . . . . . . . . . . 561--590
Jörg Wensch Extrapolation methods in Lie groups . . 591--604
Michele Benzi and
Andreas Frommer and
Reinhard Nabben and
Daniel B. Szyld Algebraic theory of multiplicative
Schwarz methods . . . . . . . . . . . . 605--639
L. Formaggia and
S. Perotto New anisotropic a priori error estimates 641--667
L. Grüne and
P. E. Kloeden Higher order numerical schemes for
affinely controlled nonlinear systems 669--690
V. Havu and
J. Pitkäranta An analysis of finite element locking in
a parameter dependent model problem . . 691--714
B. S. Jovanovic and
L. G. Vulkov On the convergence of finite difference
schemes for the heat equation with
concentrated capacity . . . . . . . . . 715--734
David Lutterkort and
Jörg Peters Tight linear envelopes for splines . . . 735--748
Gregorio Malajovich and
Jorge P. Zubelli Tangent Graeffe iteration . . . . . . . 749--782
Antonia Vecchio Volterra discrete equations: summability
of the fundamental matrix . . . . . . . 783--794
Assyr Abdulle and
Alexei A. Medovikov Second order Chebyshev methods based on
orthogonal polynomials . . . . . . . . . 1--18
M. Amara and
F. Dabaghi An optimal $C^0$ finite element
algorithm for the 2$D$ biharmonic
problem: theoretical analysis and
numerical results . . . . . . . . . . . 19--46
Zhi-Hao Cao Convergence of block two-stage iterative
methods for symmetric positive definite
systems . . . . . . . . . . . . . . . . 47--63
Carsten Carstensen and
Andreas Prohl Numerical analysis of relaxed
micromagnetics by penalised finite
elements . . . . . . . . . . . . . . . . 65--99
Hamid Esmaeili and
Nezam Mahdavi-Amiri and
Emilio Spedicato A class of ABS algorithms for
Diophantine linear systems . . . . . . . 101--115
K. Kunisch and
S. Volkwein Galerkin proper orthogonal decomposition
methods for parabolic problems . . . . . 117--148
Peter K. Moore Interpolation error-based a posteriori
error estimation for two-point boundary
value problems and parabolic equations
in one space dimension . . . . . . . . . 149--177
Keith E. Muller Computing the confluent hypergeometric
function, $M(a,b,x)$ . . . . . . . . . . 179--196
C. Carstensen and
M. Maischak and
E. P. Stephan A posteriori error estimate and
$h$-adaptive algorithm on surfaces for
Symm's integral equation . . . . . . . . 197--213
Zhangxin Chen and
Richard E. Ewing Degenerate two-phase incompressible flow
III. Sharp error estimates . . . . . . . 215--240
P. Gervasio and
J.-L. Lions and
A. Quarteroni Heterogeneous coupling by virtual
control methods . . . . . . . . . . . . 241--264
R. Hiptmair Discrete Hodge operators . . . . . . . . 265--289
Martin Kruzík and
Andreas Prohl Young measure approximation in
micromagnetics . . . . . . . . . . . . . 291--307
Thorsten Pampel Numerical approximation of connecting
orbits with asymptotic rate . . . . . . 309--348
G. W. Stewart On the eigensystems of graded matrices 349--370
Richard S. Varga and
Amos J. Carpenter Zeros of the partial sums of $\cos(z)$
and $\sin(z)$ II . . . . . . . . . . . . 371--400
Attahiru Sule Alfa and
Jungong Xue and
Qiang Ye Entrywise perturbation theory for
diagonally dominant M-matrices with
applications . . . . . . . . . . . . . . 401--414
Ilan Bar-On and
Mauro Leoncini Reliable parallel solution of bidiagonal
systems . . . . . . . . . . . . . . . . 415--440
So-Hsiang Chou and
Do Y. Kwak Multigrid algorithms for a
vertex-centered covolume method for
elliptic problems . . . . . . . . . . . 441--458
Yalchin R. Efendiev and
Xiao-Hui Wu Multiscale finite element for problems
with highly oscillatory coefficients . . 459--486
Stephan Engelke and
Christian Kanzow Improved smoothing-type methods for the
solution of linear programs . . . . . . 487--507
J.-W. Fischer Romberg quadrature using the Bulirsch
sequence . . . . . . . . . . . . . . . . 509--519
J. Leblond and
E. B. Saff and
F. Wielonsky Weighted $H^2$ rational approximation
and consistency . . . . . . . . . . . . 521--553
S. Maset Instability of Runge--Kutta methods when
applied to linear systems of delay
differential equations . . . . . . . . . 555--562
Julien Vovelle Convergence of finite volume monotone
schemes for scalar conservation laws on
bounded domains . . . . . . . . . . . . 563--596
Peter Alfeld and
Larry L. Schumaker Smooth macro-elements based on
Clough--Tocher triangle splits . . . . . 597--616
Annalisa Buffa Error estimate for a stabilised domain
decomposition method with nonmatching
grids . . . . . . . . . . . . . . . . . 617--640
Leyla Daruis and
Pablo González-Vera Interpolatory quadrature formulas on the
unit circle for Chebyshev weight
functions . . . . . . . . . . . . . . . 641--664
Howard C. Elman and
David J. Silvester and
Andrew J. Wathen Performance and analysis of saddle point
preconditioners for the discrete
steady-state Navier--Stokes equations 665--688
J. R. Fernández-García and
M. Sofonea and
J. M. Via no A frictionless contact problem for
elastic-viscoplastic materials with
normal compliance: Numerical analysis
and computational experiments . . . . . 689--719
Laurent Gosse and
François James Convergence results for an inhomogeneous
system arising in various high frequency
approximations . . . . . . . . . . . . . 721--753
Shin'Ichi Oishi and
Siegfried M. Rump Fast verification of solutions of matrix
equations . . . . . . . . . . . . . . . 755--773
Olaf Steinbach On a generalized $L_2$ projection and
some related stability estimates in
Sobolev spaces . . . . . . . . . . . . . 775--786
Willy Dörfler and
Ricardo H. Nochetto Small data oscillation implies the
saturation assumption . . . . . . . . . 1--12
Jinyang Huang and
Jinghua Wang and
Gerald Warnecke Error bounds for the large time step
Glimm scheme applied to scalar
conservation laws . . . . . . . . . . . 13--34
G. Leborgne An optimally consistent stabilization of
the inf-sup condition . . . . . . . . . 35--56
J. M. Marbán and
C. Palencia On the numerical recovery of a
holomorphic mapping from a finite set of
approximate values . . . . . . . . . . . 57--75
Pingbing Ming and
Zhong-ci Shi Optimal $\mathcal{L}^2$ error bounds for
MITC3 type element . . . . . . . . . . . 77--91
Christopher C. Paige and
Zdenek Strako\vs Bounds for the least squares distance
using scaled total least squares . . . . 93--115
Christopher C. Paige and
Zdenek Strako\vs Scaled total least squares fundamentals 117--146
Z. Wang and
R. Wong Uniform asymptotic expansion of
$J_\nu(\nu a)$ via a difference equation 147--193
Martin Peters Publisher's Note . . . . . . . . . . . . 195--196
Mauricio A. Barrientos and
Gabriel N. Gatica and
Ernst P. Stephan A mixed finite element method for
nonlinear elasticity: two-fold saddle
point approach and a-posteriori error
estimate . . . . . . . . . . . . . . . . 197--222
Isabelle Gallagher Mathematical analysis of a
structure-preserving approximation of
the bidimensional vorticity equation . . 223--236
Klaus Höllig and
Ulrich Reif and
Joachim Wipper Multigrid methods with web-splines . . . 237--255
Yves Nievergelt A finite algorithm to fit geometrically
all midrange lines, circles, planes,
spheres, hyperplanes, and hyperspheres 257--303
J. M. Peña On the optimal stability of bases of
univariate functions . . . . . . . . . . 305--318
R. Pytlak Comments on ``Global convergence of the
method of shortest residuals'' by Y. Dai
and Y. Yuan . . . . . . . . . . . . . . 319--321
Arnold Reusken Convergence analysis of a multigrid
method for convection-diffusion
equations . . . . . . . . . . . . . . . 323--349
Rob Stevenson Nonconforming finite elements and the
cascadic multi-grid method . . . . . . . 351--387
Stefano Berrone Robustness in a posteriori error
analysis for FEM flow models . . . . . . 389--422
Klaus Deckelnick and
Gerhard Dziuk A fully discrete numerical scheme for
weighted mean curvature flow . . . . . . 423--452
Rong-Qing Jia and
Qingtang Jiang and
S. L. Lee Convergence of cascade algorithms in
Sobolev spaces and integrals of wavelets 453--473
Peter Kunkel and
Ronald Stöver Symmetric collocation methods for linear
differential-algebraic boundary value
problems . . . . . . . . . . . . . . . . 475--501
V. V. Maymeskul and
E. B. Saff and
N. S. Stylianopoulos $L^2$-Approximations of power and
logarithmic functions with applications
to numerical conformal mapping . . . . . 503--542
Cheng Wang and
Jian-Guo Liu Analysis of finite difference schemes
for unsteady Navier--Stokes equations in
vorticity formulation . . . . . . . . . 543--576
Isaías Alonso-Mallo Runge--Kutta methods without order
reduction for linear initial boundary
value problems . . . . . . . . . . . . . 577--603
D. Calvetti and
B. Lewis and
L. Reichel On the regularizing properties of the
GMRES method . . . . . . . . . . . . . . 605--625
K. Engelborghs and
E. J. Doedel Stability of piecewise polynomial
collocation for computing periodic
solutions of delay differential
equations . . . . . . . . . . . . . . . 627--648
Philippe Guillaume and
Mohamed Masmoudi and
Anis Zeglaoui From compressible to incompressible
materials via an asymptotic expansion 649--673
Barbara Kaltenbacher and
Joachim Schöberl A saddle point variational formulation
for projection-regularized parameter
identification . . . . . . . . . . . . . 675--697
Ralf Kornhuber On constrained Newton linearization and
multigrid for variational inequalities 699--721
Sorin Micu Uniform boundary controllability of a
semi-discrete $1$-D wave equation . . . 723--768
G. E. Alefeld and
X. Chen and
F. A. Potra Numerical validation of solutions of
complementarity: The nonlinear case . . 1--16
Raymond H. Chan and
Michael K. Ng and
Andy M. Yip The best circulant preconditioners for
Hermitian Toeplitz systems II: The
multiple-zero case . . . . . . . . . . . 17--40
Robert Eymard and
Thierry Gallou\"\it and
Rapha\`ele Herbin and
Anthony Michel Convergence of a finite volume scheme
for nonlinear degenerate parabolic
equations . . . . . . . . . . . . . . . 41--82
Ivan P. Gavrilyuk and
Wolfgang Hackbusch and
Boris N. Khoromskij $\mathcal{H}$-Matrix approximation for
the operator exponential with
applications . . . . . . . . . . . . . . 83--111
Carlos Parés and
Manuel Castro and
Jorge Macías On the convergence of the Bermúdez-Moreno
algorithm with constant parameters . . . 113--128
M. Robbé and
M. Sadkane Riccati-based preconditioner for
computing invariant subspaces of large
matrices . . . . . . . . . . . . . . . . 129--159
Hongxing Rui and
Masahisa Tabata A second order characteristic finite
element scheme for convection-diffusion
problems . . . . . . . . . . . . . . . . 161--177
Jianzhong Zhang and
Naihua Xiu New projection-type methods for monotone
LCP with finite termination . . . . . . 179--195
Leanne Allen and
Thomas J. Bridges Numerical exterior algebra and the
compound matrix method . . . . . . . . . 197--232
Carsten Carstensen and
Sören Bartels and
Stefan Jansche A posteriori error estimates for
nonconforming finite element methods . . 233--256
Jean-Charles Fiorot and
Olivier Gibaru Blowing up: application to
${G}^2$-continuous $8$-sided filling
patch . . . . . . . . . . . . . . . . . 257--287
I. G. Graham and
I. H. Sloan Fully discrete spectral boundary
integral methods for Helmholtz problems
on smooth closed surfaces in ${\mathbb
R}^3$ . . . . . . . . . . . . . . . . . 289--323
H. Harbrecht and
F. Paiva and
C. Pérez and
R. Schneider Biorthogonal wavelet approximation for
the coupling of FEM-BEM . . . . . . . . 325--356
Iuliu Sorin Pop and
Wen-An Yong A numerical approach to degenerate
parabolic equations . . . . . . . . . . 357--381
R. Wegmann Numerical calculation of
capillary-gravity waves . . . . . . . . 383--400
Douglas N. Arnold and
Ragnar Winther Mixed finite elements for elasticity . . 401--419
H. Bulgak and
G. Demidenko Estimation for the region of attraction
of nonlinear difference equations . . . 421--431
Stefano Serra Capizzano Convergence analysis of two-grid methods
for elliptic Toeplitz and PDEs
matrix-sequences . . . . . . . . . . . . 433--465
Birgit Faermann Localization of the
Aronszajn--Slobodeckij norm and
application to adaptive boundary element
methods: Part II. The three-dimensional
case . . . . . . . . . . . . . . . . . . 467--499
Andreas Kirsch and
Peter Monk A finite element method for
approximating electromagnetic scattering
from a conducting object . . . . . . . . 501--534
Jacques-Louis Lions and
Jérôme Métral and
Olivier Vacus Well-posed absorbing layer for
hyperbolic problems . . . . . . . . . . 535--562
Yongzhong Song Comparison theorems for splittings of
matrices . . . . . . . . . . . . . . . . 563--591
Y. Achdou and
C. Japhet and
Y. Maday and
F. Nataf A new cement to glue non-conforming
grids with Robin interface conditions:
The finite volume case . . . . . . . . . 593--620
Nikolai Yu. Bakaev Analysis of fully discrete
approximations to parabolic problems
with rough or distribution-valued
initial data . . . . . . . . . . . . . . 621--651
Gabriel R. Barrenechea and
Frédéric Valentin An unusual stabilized finite element
method for a generalized Stokes problem 653--677
A. Buffa and
M. Costabel and
C. Schwab Boundary element methods for Maxwell's
equations on non-smooth domains . . . . 679--710
François Dubois and
Michel Salaün and
Stéphanie Salmon Discrete harmonics for stream
function-vorticity Stokes problem . . . 711--742
Andreas Veeser Convergent adaptive finite elements for
the nonlinear Laplacian . . . . . . . . 743--770
Lie-heng Wang On the quadratic finite element
approximation to the obstacle problem 771--778
Simon N. Chandler-Wilde and
Mizanur Rahman and
C. R. Ross A fast two-grid and finite section
method for a class of integral equations
on the real line with application to an
acoustic scattering problem in the
half-plane . . . . . . . . . . . . . . . 1--51
Stéphanie Gaiffe and
Roland Glowinski and
Roland Masson Domain decomposition and splitting
methods for Mortar mixed finite element
approximations to parabolic equations 53--75
Barbara Kaltenbacher and
Josef Schicho A multi-grid method with a priori and a
posteriori level choice for the
regularization of nonlinear ill-posed
problems . . . . . . . . . . . . . . . . 77--107
S. H. Lui On linear monotone iteration and Schwarz
methods for nonlinear elliptic PDEs . . 109--129
Mihai Putinar On a diagonal Padé approximation in two
complex variables . . . . . . . . . . . 131--152
J. C. Santos-León Computation of the Riesz--Herglotz
transform and its application to
quadrature formulas over the unit circle 153--175
Daoqi Yang Iterative schemes for mixed finite
element methods with applications to
elasticity and compressible flow
problems . . . . . . . . . . . . . . . . 177--200
I. Albarreal and
M. C. Calzada and
J. L. Cruz and
E. Fernández-Cara and
J. Galo and
M. Marín Convergence analysis and error estimates
for a parallel algorithm for solving the
Navier--Stokes equations . . . . . . . . 201--221
Daniel Boichu and
Vincent Robin Multivariate Padé-Bergman approximants 223--238
Martin Costabel and
Monique Dauge Weighted regularization of Maxwell
equations in polyhedral domains: A
rehabilitation of nodal finite elements 239--277
Eldar Giladi and
Herbert B. Keller Space--time domain decomposition for
parabolic problems . . . . . . . . . . . 279--313
Manfred von Golitschek and
Ming-Jun Lai and
Larry L. Schumaker Error bounds for minimal energy
bivariate polynomial splines . . . . . . 315--331
Qiya Hu and
Jun Zou Two new variants of nonlinear inexact
Uzawa algorithms for saddle-point
problems . . . . . . . . . . . . . . . . 333--359
Leszek Marcinkowski A mortar element method for some
discretizations of a plate problem . . . 361--386
Mark Ainsworth and
William McLean Multilevel diagonal scaling
preconditioners for boundary element
equations on locally refined meshes . . 387--413
Weizhu Bao and
Houde Han Error bounds for the finite element
approximation of an incompressible
material in an unbounded domain . . . . 415--444
Susanne C. Brenner and
Qingmi He Lower bounds for three-dimensional
nonoverlapping domain decomposition
algorithms . . . . . . . . . . . . . . . 445--470
V. Gradinaru and
R. Hiptmair Mixed finite elements on sparse grids 471--495
Wenbin Liu and
Ningning Yan A posteriori error estimates for optimal
control problems governed by parabolic
equations . . . . . . . . . . . . . . . 497--521
Stefan Müller Critique of the paper 'The relaxation
non-quasiconvex variational integrals' 523--525
L. Pareschi and
G. Toscani and
C. Villani Spectral methods for the non cut-off
Boltzmann equation and numerical grazing
collision limit . . . . . . . . . . . . 527--548
M. Costabel and
J. Saranen The spline collocation method for
parabolic boundary integral equations on
smooth curves . . . . . . . . . . . . . 549--562
Avram Sidi and
Yuliya Kanevsky Orthogonal polynomials and
semi-iterative methods for the
Drazin-inverse solution of singular
linear systems . . . . . . . . . . . . . 563--581
Ivo Babu\vska and
Jan Chleboun Effects of uncertainties in the domain
on the solution of Dirichlet boundary
value problems . . . . . . . . . . . . . 583--610
Silvia Bertoluzza Analysis of a stabilized three-fields
domain decomposition method . . . . . . 611--634
Martin Brühl and
Martin Hanke and
Michael S. Vogelius A direct impedance tomography algorithm
for locating small inhomogeneities . . . 635--654
Gonzalo Galiano and
María L. Garzón and
Ansgar Jüngel Semi-discretization in time and
numerical convergence of solutions of a
nonlinear cross-diffusion population
model . . . . . . . . . . . . . . . . . 655--673
Angela Handlovi\vcová and
Karol Mikula and
Fiorella Sgallari Semi-implicit complementary volume
scheme for solving level set like
equations in image processing and curve
evolution . . . . . . . . . . . . . . . 675--695
Marc Küther A priori error estimates for approximate
solutions to convex conservation laws 697--727
Knut Petras Smolyak cubature of given polynomial
degree with few nodes for increasing
dimension . . . . . . . . . . . . . . . 729--753
Xue-Cheng Tai Rate of convergence for some constraint
decomposition methods for nonlinear
variational inequalities . . . . . . . . 755--786
Susanne C. Brenner An additive Schwarz preconditioner for
the FETI method . . . . . . . . . . . . 1--31
Xiaobing Feng and
Andreas Prohl Numerical analysis of the Allen--Cahn
equation and approximation for mean
curvature flows . . . . . . . . . . . . 33--65
L. Formaggia and
S. Perotto Anisotropic error estimates for elliptic
problems . . . . . . . . . . . . . . . . 67--92
Dmitri E. Kvasov and
Clara Pizzuti and
Yaroslav D. Sergeyev Local tuning and partition strategies
for diagonal GO methods . . . . . . . . 93--106
David P. Nicholls and
Fernando Reitich Analytic continuation of
Dirichlet--Neumann operators . . . . . . 107--146
Z. Wang and
R. Wong Asymptotic expansions for second-order
linear difference equations with a
turning point . . . . . . . . . . . . . 147--194
Jinchao Xu and
Ludmil Zikatanov Some observations on Babu\vska and
Brezzi theories . . . . . . . . . . . . 195--202
C. Brezinski and
M. Redivo-Zaglia and
G. Rodriguez and
S. Seatzu Multi-parameter regularization
techniques for ill-conditioned linear
systems . . . . . . . . . . . . . . . . 203--228
A. Buffa and
S. H. Christiansen The electric field integral equation on
Lipschitz screens: definitions and
numerical approximation . . . . . . . . 229--267
Valery E. Grikurov and
Erkki Heikkola and
Pekka Neittaanmäki and
Boris A. Plamenevskii On Computation of Scattering Matrices
and on Surface Waves for Diffraction
Gratings . . . . . . . . . . . . . . . . 269--288
Tobias Jahnke and
Christian Lubich Numerical integrators for quantum
dynamics close to the adiabatic limit 289--314
Xiang-Gui Li and
Wei Yan and
C. K. Chan Numerical schemes for Hamilton--Jacobi
equations on unstructured meshes . . . . 315--331
G. Mastroianni and
C. Frammartino and
A. Rathsfeld On polynomial collocation for second
kind integral equations with fixed
singularities of Mellin type . . . . . . 333--365
Peter K. Moore Applications of Lobatto polynomials to
an adaptive finite element method: A
posteriori error estimates for
HP-Adaptivity and Grid-to-Grid
Interpolation . . . . . . . . . . . . . 367--401
Georgios Akrivis and
Ohannes Karakashian and
Fotini Karakatsani Linearly implicit methods for nonlinear
evolution equations . . . . . . . . . . 403--418
Felipe Cucker and
Mario Wschebor On the Expected Condition Number of
Linear Programming Problems . . . . . . 419--478
Carmine Di Fiore and
Stefano Fanelli and
Filomena Lepore and
Paolo Zellini Matrix algebras in Quasi-Newton methods
for unconstrained minimization . . . . . 479--500
José R. Fernández and
Patrick Hild and
Juan M. Viaño Numerical Approximation of the
Elastic-Viscoplastic Contact Problem
with Non-matching Meshes . . . . . . . . 501--522
Scott N. Kersey Near-interpolation . . . . . . . . . . . 523--540
Takuya Tsuchiya Precise finite element error analysis by
Yamamoto's explicit inversion formula
for tridiagonal matrices --- an
extension of Babu\vska--Osborn's
theorems . . . . . . . . . . . . . . . . 541--572
Jean-Paul Vila and
Philippe Villedieu Convergence of an explicit finite volume
scheme for first order symmetric systems 573--602
Mohamed Amara and
Jacques Baranger An extra stress-vorticity formulation of
Stokes problem for the Oldroyd
viscoelastic model . . . . . . . . . . . 603--622
F. Bouchut Entropy satisfying flux vector
splittings and kinetic BGK models . . . 623--672
Gérard Gallice Positive and Entropy Stable Godunov-type
Schemes for Gas Dynamics and MHD
Equations in Lagrangian or Eulerian
Coordinates . . . . . . . . . . . . . . 673--713
Bingsheng He and
Li-Zhi Liao and
Shengli Wang Self-adaptive operator splitting methods
for monotone variational inequalities 715--737
Y. Maday and
G. Turinici Error bars and quadratically convergent
methods for the numerical simulation of
the Hartree--Fock equations . . . . . . 739--770
Andrea Toselli and
Christoph Schwab Mixed HP-finite element approximations
on geometric edge and boundary layer
meshes in three dimensions . . . . . . . 771--801
Mario Bebendorf and
Wolfgang Hackbusch Existence of $H$-matrix approximants to
the inverse $FE$-matrix of elliptic
operators with $L^8$-coefficients . . . 1--28
A. Bermúdez and
P. Gamallo and
L. Hervella-Nieto and
R. Rodríguez Finite element analysis of pressure
formulation of the elastoacoustic
problem . . . . . . . . . . . . . . . . 29--51
B. Bojanov and
P. Petrov Uniqueness of the Gaussian interval
quadrature formula . . . . . . . . . . . 53--62
D. Chenais and
Enrique Zuazua Controllability of an Elliptic equation
and its Finite Difference Approximation
by the Shape of the Domain . . . . . . . 63--99
Delin Chu and
Lieven De Lathauwer and
Bart De Moor A $QR$-type reduction for computing the
SVD of a general matrix product/quotient 101--121
Helmut Harbrecht and
Sergei Pereverzev and
Reinhold Schneider Self-regularization by projection for
noisy pseudodifferential equations of
negative order . . . . . . . . . . . . . 123--143
Reinhard Nabben Comparisons between multiplicative and
additive Schwarz iterations in domain
decomposition methods . . . . . . . . . 145--162
Ricardo H. Nochetto and
Kunibert G. Siebert and
Andreas Veeser Pointwise a posteriori error control for
elliptic obstacle problems . . . . . . . 163--195
F. Collino and
T. Fouquet and
P. Joly A Conservative Space--time Mesh
Refinement Method for the $1$-D Wave
Equation. Part I: Construction . . . . . 197--221
F. Collino and
T. Fouquet and
P. Joly A Conservative Space--time Mesh
Refinement Method for the $1$-D Wave
Equation. Part II: Analysis . . . . . . 223--251
C. Eck and
W. L. Wendland A residual-based error estimator for
BEM-discretizations of contact problems 253--282
Paulo Goldfeld and
Luca F. Pavarino and
Olof B. Widlund Balancing Neumann--Neumann
preconditioners for mixed approximations
of heterogeneous problems in linear
elasticity . . . . . . . . . . . . . . . 283--324
Ernst Hairer Global modified Hamiltonian for
constrained symplectic integrators . . . 325--336
J. M. Peña On an alternative to Gerschgorin circles
and ovals of Cassini . . . . . . . . . . 337--345
Béatrice Rivi\`ere and
Simon Shaw and
Mary F. Wheeler and
J. R. Whiteman Discontinuous Galerkin finite element
methods for linear elasticity and
quasistatic linear viscoelasticity . . . 347--376
Joachim Schöberl and
Walter Zulehner On Schwarz-type Smoothers for Saddle
Point Problems . . . . . . . . . . . . . 377--399
M. J. H. Anthonissen and
R. M. M. Mattheij and
J. H. M. ten Thije Boonkkamp Convergence analysis of the local defect
correction method for diffusion
equations . . . . . . . . . . . . . . . 401--425
Petter E. Bjòrstad and
Maksymilian Dryja and
Talal Rahman Additive Schwarz Methods for Elliptic
Mortar Finite Element Problems . . . . . 427--457
A. Buffa and
R. Hiptmair and
T. von Petersdorff and
C. Schwab Boundary Element Methods for Maxwell
Transmission Problems in Lipschitz
Domains . . . . . . . . . . . . . . . . 459--485
J. C. Butcher and
Z. Jackiewicz A new approach to error estimation for
general linear methods . . . . . . . . . 487--502
Stéphane Descombes and
Magali Ribot Convergence of the Peaceman--Rachford
approximation for reaction-diffusion
systems . . . . . . . . . . . . . . . . 503--525
J. Gopalakrishnan and
G. Kanschat A multilevel discontinuous Galerkin
method . . . . . . . . . . . . . . . . . 527--550
J. Gopalakrishnan and
G. Kanschat Erratum: A multilevel discontinuous
Galerkin method . . . . . . . . . . . . 551--551
O. Steinbach A robust boundary element method for
nearly incompressible linear elasticity 553--562
Louis Roder Tcheugoué Tébou and
Enrique Zuazua Uniform exponential long time decay for
the space semi-discretization of a
locally damped wave equation via an
artificial numerical viscosity . . . . . 563--598
A. Bergam and
Z. Mghazli and
R. Verfürth Estimations a posteriori d'un schéma de
volumes finis pour un probl\`eme non
linéaire. (French) [A posteriori
estimations of a finite-volume schema
for a linear problem] . . . . . . . . . 599--624
Brian Moore and
Sebastian Reich Backward error analysis for
multi-symplectic integration methods . . 625--652
Matteo Negri A finite element approximation of the
Griffith's model in fracture mechanics 653--687
Franz Peherstorfer and
Knut Petras Stieltjes Polynomials and Gauss--Kronrod
Quadrature for Jacobi Weight Functions 689--706
Christoph Schwab and
Radu-Alexandru Todor Sparse finite elements for elliptic
problems with stochastic loading . . . . 707--734
Michael Plum and
Christian Wieners Optimal a priori estimates for interface
problems . . . . . . . . . . . . . . . . 735--759
Jae Heon Yun Performance of $ILU$ factorization
preconditioners based on multisplittings 761--779
Zhimin Zhang and
Runchang Lin Ultraconvergence of $ZZ$ patch recovery
at mesh symmetry points . . . . . . . . 781--801
Lidia Aceto and
Donato Trigiante On the properties of matrices defining
some classes of BVMs . . . . . . . . . . 1--16
Y. Achdou and
C. Bernardi and
F. Coquel A priori and a posteriori analysis of
finite volume discretizations of Darcy's
equations . . . . . . . . . . . . . . . 17--42
Sonia Fernández-Méndez and
Pedro Díez and
Antonio Huerta Convergence of finite elements enriched
with mesh-less methods . . . . . . . . . 43--59
Zhilin Li and
Tao Lin and
Xiaohui Wu New Cartesian grid methods for interface
problems using the finite element
formulation . . . . . . . . . . . . . . 61--98
Kyoung-Sook Moon and
Anders Szepessy and
Raúl Tempone and
Georgios E. Zouraris Convergence rates for adaptive
approximation of ordinary differential
equations . . . . . . . . . . . . . . . 99--129
Kyoung-Sook Moon and
Anders Szepessy and
Raúl Tempone and
Georgios E. Zouraris A variational principle for adaptive
approximation of ordinary differential
equations . . . . . . . . . . . . . . . 131--152
Yongmin Zhang Error estimates for the numerical
approximation of time-dependent flow of
Bingham fluid in cylindrical pipes by
the regularization method . . . . . . . 153--184
Qiding Zhu and
Qinghua Zhao SPR technique and finite element
correction . . . . . . . . . . . . . . . 185--196
Zhong-Zhi Bai and
Michael K. Ng Preconditioners for nonsymmetric block
Toeplitz-like-plus-diagonal linear
systems . . . . . . . . . . . . . . . . 197--220
Delin Chu The fixed poles of the disturbance
decoupling problem and almost stability
subspace $\mathcal {V}^\star_{b,g}({\rm
ker}(C))$ . . . . . . . . . . . . . . . 221--252
S. González-Pinto Differential systems with semi-stable
equilibria and numerical methods . . . . 253--268
P. Kügler and
A. Leitão Mean value iterations for nonlinear
elliptic Cauchy problems . . . . . . . . 269--293
R. D. Lazarov and
J. E. Pasciak and
J. Schöberl and
P. S. Vassilevski Almost optimal interior penalty
discontinuous approximations of
symmetric elliptic problems on
non-matching grids . . . . . . . . . . . 295--315
Houduo Qi and
Liqun Qi Finite termination of a dual Newton
method for convex best $C^1$
interpolation and smoothing . . . . . . 317--337
Dominik Schötzau and
Thomas P. Wihler Exponential convergence of mixed
hp-DGFEM for Stokes flow in polygons . . 339--361
G. W. Stewart On the powers of a matrix with
perturbations . . . . . . . . . . . . . 363--376
Olga Wilderotter An adaptive finite element method for
singular parabolic equations . . . . . . 377--399
John W. Barrett and
Stephen Langdon and
Robert Nürnberg Finite element approximation of a sixth
order nonlinear degenerate parabolic
equation . . . . . . . . . . . . . . . . 401--434
Roland Becker and
Boris Vexler A posteriori error estimation for finite
element discretization of parameter
identification problems . . . . . . . . 435--459
D. Braess and
C. Carstensen and
B. D. Reddy Uniform convergence and a posteriori
error estimators for the enhanced strain
finite element method . . . . . . . . . 461--479
Rommel Bustinza and
Galina C. Garcia and
Gabriel N. Gatica A mixed finite element method with
Lagrange multipliers for nonlinear
exterior transmission problems . . . . . 481--523
Li-Qun Cao and
Jun-Zhi Cui Asymptotic expansions and numerical
algorithms of eigenvalues and
eigenfunctions of the Dirichlet problem
for second order elliptic equations in
perforated domains . . . . . . . . . . . 525--581
Dmitriy Leykekhman Pointwise localized error estimates for
parabolic finite element equations . . . 583--600
Ivo Babu\vska and
Uday Banerjee and
John E. Osborn On the approximability and the selection
of particle shape functions . . . . . . 601--640
Sören Bartels and
Andreas Prohl Multiscale resolution in the computation
of crystalline microstructure . . . . . 641--660
L. Beirão da Veiga Uniform error estimates for a class of
intermediate cylindrical shell problems 661--689
Carsten Carstensen and
Stefan A. Sauter A posteriori error analysis for elliptic
PDEs on domains with complicated
structures . . . . . . . . . . . . . . . 691--721
S. Chandrasekaran and
M. Gu A divide-and-conquer algorithm for the
eigendecomposition of symmetric
block-diagonal plus semiseparable
matrices . . . . . . . . . . . . . . . . 723--731
A. De Bouard and
A. Debussche A semi-discrete scheme for the
stochastic nonlinear Schrödinger equation 733--770
Dominik Schötzau Mixed finite element methods for
stationary incompressible
magnetohydrodynamics . . . . . . . . . . 771--800
M. Arioli A stopping criterion for the conjugate
gradient algorithm in a finite element
method framework . . . . . . . . . . . . 1--24
R. Bürger and
K. H. Karlsen and
N. H. Risebro and
J. D. Towers Well-posedness in $BV_t$ and convergence
of a difference scheme for continuous
sedimentation in ideal
clarifier-thickener units . . . . . . . 25--65
Carsten Carstensen and
Georg Dolzmann An a priori error estimate for finite
element discretizations in nonlinear
elasticity for polyconvex materials
under small loads . . . . . . . . . . . 67--80
E. Godlewski and
P.-A. Raviart The numerical interface coupling of
nonlinear hyperbolic systems of
conservation laws: I. The scalar case 81--130
Erwin Hernández and
Rodolfo Rodríguez Finite element approximation of spectral
acoustic problems on curved domains . . 131--158
Matthias Kunik and
Shamsul Qamar and
Gerald Warnecke Kinetic schemes for the relativistic gas
dynamics . . . . . . . . . . . . . . . . 159--191
Peter Binev and
Ronald DeVore Fast computation in adaptive tree
approximation . . . . . . . . . . . . . 193--217
Peter Binev and
Wolfgang Dahmen and
Ron DeVore Adaptive Finite Element Methods with
Convergence Rates . . . . . . . . . . . 219--268
A. Buzdin and
G. Wittum Two-frequency decomposition . . . . . . 269--295
Klaus Deckelnick and
Michael Hinze Semidiscretization and error estimates
for distributed control of the
instationary Navier--Stokes equations 297--320
Y. d'Halluin and
P. A. Forsyth and
G. Labahn A penalty method for American options
with jump diffusion processes . . . . . 321--352
Andreas Rieder and
Thomas Schuster The approximate inverse in action III:
$3$D-Doppler tomography . . . . . . . . 353--378
Zhi-zhong Sun and
You-lan Zhu A second order accurate difference
scheme for the heat equation with
concentrated capacity . . . . . . . . . 379--395
Carsten Carstensen and
M. Maischak and
D. Praetorius and
E. P. Stephan Residual-based a posteriori error
estimate for hypersingular equation on
surfaces . . . . . . . . . . . . . . . . 397--425
R. P. K. Chan and
P. Chartier and
A. Murua Reversible methods of Runge--Kutta type
for Index-2 DAEs . . . . . . . . . . . . 427--440
Andreas Dedner and
Christian Rohde Numerical approximation of entropy
solutions for hyperbolic
integro-differential equations . . . . . 441--471
S. González-Pinto and
D. Hernández-Abreu Stable Runge--Kutta integrations for
differential systems with semi-stable
equilibria . . . . . . . . . . . . . . . 473--491
Marcel Oliver and
Matthew West and
Claudia Wulff Approximate momentum conservation for
spatial semidiscretizations of
semilinear wave equations . . . . . . . 493--535
Ken'ichiro Tanaka and
Sunao Murashige and
Shin'ichi Oishi On necessary and sufficient conditions
for numerical verification of double
turning points . . . . . . . . . . . . . 537--554
Cheng Wang and
Jian-Guo Liu and
Hangs Johnston Analysis of a fourth order finite
difference method for the incompressible
Boussinesq equations . . . . . . . . . . 555--594
Denise Aregba-Driollet and
Vuk Mili\vsi\'c Kinetic approximation of a boundary
value problem for conservation laws . . 595--633
Manuel Calvo and
Laurent O. Jay and
Juan I. Montijano and
Luis Rández Approximate compositions of a near
identity map by multi-revolution
Runge--Kutta methods . . . . . . . . . . 635--666
Stéphane Descombes and
Marc Massot Operator splitting for nonlinear
reaction-diffusion systems with an
entropic structure : singular
perturbation and order reduction . . . . 667--698
Ernst Hairer and
Christian Lubich Symmetric multistep methods over long
times . . . . . . . . . . . . . . . . . 699--723
Yinnian He and
Huanling Miao and
R. M. M. Mattheij and
Zhangxin Chen Numerical analysis of a modified finite
element nonlinear Galerkin method . . . 725--756
Marco Lonsing and
Rüdiger Verfürth A posteriori error estimators for mixed
finite element methods in linear
elasticity . . . . . . . . . . . . . . . 757--778
Giancarlo Sangalli Analysis of the advection-diffusion
operator using fractional order norms 779--796
Zhong-Zhi Bai and
Gene H. Golub and
Jian-Yu Pan Preconditioned Hermitian and
skew-Hermitian splitting methods for
non-Hermitian positive semidefinite
linear systems . . . . . . . . . . . . . 1--32
C. Bernardi and
T. Chacón Rebollo and
M. Gómez Mármol and
R. Lewandowski and
F. Murat A model for two coupled turbulent
fluids. Part III: Numerical
approximation by finite elements . . . . 33--66
S. Beuchler and
R. Schneider and
C. Schwab Multiresolution weighted norm
equivalences and applications . . . . . 67--97
James Demmel and
Plamen Koev Accurate SVDs of weakly diagonally
dominant M-matrices . . . . . . . . . . 99--104
Amparo Gil and
Javier Segura and
Nico M. Temme Integral representations for computing
real parabolic cylinder functions . . . 105--134
Michael Hintermüller and
Wolfgang Ring A level set approach for the solution of
a state-constrained optimal control
problem . . . . . . . . . . . . . . . . 135--166
Linzhang Lu and
Michael K. Ng On sufficient and necessary conditions
for the Jacobi matrix inverse eigenvalue
problem . . . . . . . . . . . . . . . . 167--176
I. Markovsky and
A. Kukush and
S. Van Huffel Consistent least squares fitting of
ellipsoids . . . . . . . . . . . . . . . 177--194
John W. Barrett and
James F. Blowey Finite element approximation of a
nonlinear cross-diffusion population
model . . . . . . . . . . . . . . . . . 195--221
Laurent Gosse and
Giuseppe Toscani Asymptotic-preserving & well-balanced
schemes for radiative transfer and the
Rosseland approximation . . . . . . . . 223--250
Ji\vrí Horák Constrained mountain pass algorithm for
the numerical solution of semilinear
elliptic problems . . . . . . . . . . . 251--276
Peter Kunkel and
Volker Mehrmann and
Ronald Stöver Symmetric collocation for unstructured
nonlinear differential-algebraic
equations of arbitrary index . . . . . . 277--304
Kent-Andre Mardal and
Ragnar Winther Uniform preconditioners for the time
dependent Stokes problem . . . . . . . . 305--327
Daniel Potts and
Gabriele Steidl and
Arthur Nieslony Fast convolution with radial kernels at
nonequispaced knots . . . . . . . . . . 329--351
Eckhard Schneid and
Peter Knabner and
Florin Radu A priori error estimates for a mixed
finite element discretization of the
Richards' equation . . . . . . . . . . . 353--370
Avram Sidi Euler--Maclaurin expansions for
integrals with endpoint singularities: a
new perspective . . . . . . . . . . . . 371--387
Ana Alonso and
Anahí Dello Russo and
Claudio Padra and
Rodolfo Rodríguez Accurate pressure post-process of a
finite element method for
elastoacoustics . . . . . . . . . . . . 389--425
T. Chacón Rebollo and
D. Rodríguez Gómez A stabilized space--time discretization
for the primitive equations in
oceanography . . . . . . . . . . . . . . 427--475
Fabrice Dodu and
Christophe Rabut Irrotational or divergence-free
interpolation . . . . . . . . . . . . . 477--498
Benqi Guo and
Nobert Heuer The optimal rate of convergence of the
$p$-version of the boundary element
method in two dimensions . . . . . . . . 499--538
J. Z. Zhang and
G. S. Liu and
S. Y. Wang A globally convergent approximately
active search algorithm for solving
mathematical programs with linear
complementarity constraints . . . . . . 539--558
Shangyou Zhang On the nested refinement of
quadrilateral and hexahedral finite
elements and the affine approximation 559--579
Alfio Borz\`\i Solution of lambda-omega systems:
Theta-schemes and multigrid methods . . 581--606
Maya Briani and
Claudia La Chioma and
Roberto Natalini Convergence of numerical schemes for
viscosity solutions to
integro-differential degenerate
parabolic problems arising in financial
theory . . . . . . . . . . . . . . . . . 607--646
Yinnian He and
Kaitai Li Asymptotic behavior and time
discretization analysis for the
non-stationary Navier--Stokes problem 647--673
Michael J. Johnson An error analysis for radial basis
function interpolation . . . . . . . . . 675--694
Ricardo H. Nochetto and
Jae-Hong Pyo Optimal relaxation parameter for the
Uzawa Method . . . . . . . . . . . . . . 695--702
Roland Potthast A new non-iterative singular sources
method for the reconstruction of
piecewise constant media . . . . . . . . 703--730
Harry Yserentant On the regularity of the electronic
Schrödinger equation in Hilbert spaces of
mixed derivatives . . . . . . . . . . . 731--759
S. Bartels and
C. Carstensen and
G. Dolzmann Inhomogeneous Dirichlet conditions in a
priori and a posteriori finite element
error analysis . . . . . . . . . . . . . 1--24
Timo Eirola and
Jan von Pfaler Numerical Taylor expansions for
invariant manifolds . . . . . . . . . . 25--46
Xiaobing Feng and
Andreas Prohl Error analysis of a mixed finite element
method for the Cahn--Hilliard equation 47--84
Lars Grüne Error estimation and adaptive
discretization for the discrete
stochastic Hamilton--Jacobi--Bellman
equation . . . . . . . . . . . . . . . . 85--112
Mats G. Larson and
A. Jonas Niklasson Analysis of a family of discontinuous
Galerkin methods for elliptic problems:
the one dimensional case . . . . . . . . 113--130
Marco Lonsing and
Rüdiger Verfürth On the stability of BDMS and PEERS
elements . . . . . . . . . . . . . . . . 131--140
Gradimir V. Milovanovi\'c and
Aleksandar S. Cvetkovi\'c Uniqueness and computation of Gaussian
interval quadrature formula for Jacobi
weight function . . . . . . . . . . . . 141--162
Raf Vandebril and
Marc Van Barel and
Nicola Mastronardi A QR-method for computing the singular
values via semiseparable matrices . . . 163--195
O. Axelsson and
J. Karátson Superlinearly convergent CG methods via
equivalent preconditioning for
nonsymmetric elliptic operators . . . . 197--223
S. Bartels and
C. Carstensen Averaging techniques yield reliable a
posteriori finite element error control
for obstacle problems . . . . . . . . . 225--249
Sören Bartels and
Tomás Roubícek Linear-programming approach to nonconvex
variational problems . . . . . . . . . . 251--287
Wolf-Jürgen Beyn and
Thorsten Hüls Error estimates for approximating
non-hyperbolic heteroclinic orbits of
maps . . . . . . . . . . . . . . . . . . 289--323
Virginie Bonnaillie Noël A posteriori error estimator for the
eigenvalue problem associated to the
Schrödinger operator with magnetic field 325--348
Neil A. Butler A new class of equal-weight integration
rules on the hypercube . . . . . . . . . 349--363
Adam M. Oberman A convergent monotone difference scheme
for motion of level sets by mean
curvature . . . . . . . . . . . . . . . 365--379
M. Arioli and
D. Loghin and
A. J. Wathen Stopping criteria for iterations in
finite element methods . . . . . . . . . 381--410
Michaël Baudin and
Christophe Berthon and
Frédéric Coquel and
Roland Masson and
Quang Huy Tran A relaxation method for two-phase flow
models with hydrodynamic closure law . . 411--440
Daniele Bertaccini and
Gene H. Golub and
Stefano Serra Capizzano and
Cristina Tablino Possio Preconditioned HSS methods for the
solution of non-Hermitian positive
definite linear systems and applications
to the discrete convection-diffusion
equation . . . . . . . . . . . . . . . . 441--484
Ansgar Jüngel and
Andreas Unterreiter Discrete minimum and maximum principles
for finite element approximations of
non-monotone elliptic equations . . . . 485--508
Peter A. Markowich and
Lorenzo Pareschi Fast conservative and entropic numerical
methods for the Boson Boltzmann equation 509--532
Marcus Stiemer On the approximation order of extremal
point methods for hyperbolic minimal
energy problems . . . . . . . . . . . . 533--555
Sören Bartels A posteriori error analysis for
time-dependent Ginzburg--Landau type
equations . . . . . . . . . . . . . . . 557--583
F. Berthelin Convergence of flux vector splitting
schemes with single entropy inequality
for hyperbolic systems of conservation
laws . . . . . . . . . . . . . . . . . . 585--604
Steffen Börm and
Maike Löhndorf and
Jens M. Melenk Approximation of Integral Operators by
Variable--Order Interpolation . . . . . 605--643
Maksymilian Dryja A Neumann--Neumann algorithm for a
mortar discretization of elliptic
problems with discontinuous coefficients 645--656
R. D. Grigorieff Superapproximation for projections on
spline spaces . . . . . . . . . . . . . 657--668
J. Karátson and
S. Korotov Discrete maximum principles for finite
element solutions of nonlinear elliptic
problems with mixed boundary conditions 669--698
A. Buffa and
R. Hiptmair Regularized Combined Field Integral
Equations . . . . . . . . . . . . . . . 1--19
Yu-Hong Dai and
Roger Fletcher Projected Barzilai--Borwein methods for
large-scale box-constrained quadratic
programming . . . . . . . . . . . . . . 21--47
Christer Glader and
Mikael Lindström A new algorithm for meromorphic
Nevanlinna--Pick interpolation . . . . . 49--69
Volker Grimm On error bounds for the Gautschi-type
exponential integrator applied to
oscillatory second-order differential
equations . . . . . . . . . . . . . . . 71--89
Peter Hansbo and
Carlo Lovadina and
Ilaria Perugia and
Giancarlo Sangalli A Lagrange multiplier method for the
finite element solution of elliptic
interface problems using non-matching
meshes . . . . . . . . . . . . . . . . . 91--115
Jung-Han Kimn A convergence theory for an overlapping
Schwarz algorithm using discontinuous
iterates . . . . . . . . . . . . . . . . 117--139
Teemu Pennanen and
Matti Koivu Epi-convergent discretizations of
stochastic programs via integration
quadratures . . . . . . . . . . . . . . 141--163
Constantin B\uacu\,t\ua and
Victor Nistor and
Ludmil T. Zikatanov Improving the rate of convergence of
`high order finite elements' on polygons
and domains with cusps . . . . . . . . . 165--184
Alexei Bespalov and
Norbert Heuer The $p$-version of the boundary element
method for hypersingular operators on
piecewise plane open surfaces . . . . . 185--209
Eric Canc\`es and
François Castella and
Philippe Chartier and
Erwan Faou and
Claude Le Bris and
Frédéric Legoll and
Gabriel Turinici Long-time averaging for integrable
Hamiltonian dynamics . . . . . . . . . . 211--232
Carsten Ebmeyer and
W. B. Liu Quasi-Norm interpolation error estimates
for the piecewise linear finite element
approximation of $p$-Laplacian problems 233--258
José M. Gallardo and
Carlos Parés and
Manuel Castro A generalized duality method for solving
variational inequalities. Applications
to some nonlinear Dirichlet problems . . 259--291
J. N. Lyness and
G. Monegato Asymptotic Expansions for
Two-Dimensional Hypersingular Integrals 293--329
Beno\^\it Perthame and
Michael Westdickenberg Total oscillation diminishing property
for scalar conservation laws . . . . . . 331--349
Masahisa Tabata and
Daisuke Tagami Error estimates of finite element
methods for nonstationary thermal
convection problems with
temperature-dependent coefficients . . . 351--372
Dario A. Bini and
Luca Gemignani and
Victor Y. Pan Fast and stable QR eigenvalue algorithms
for generalized companion matrices and
secular equations . . . . . . . . . . . 373--408
Steven Delvaux and
Marc Van Barel Orthonormal rational function vectors 409--440
Xiaobing Feng and
Markus von Oehsen and
Andreas Prohl Rate of convergence of regularization
procedures and finite element
approximations for the total variation
flow . . . . . . . . . . . . . . . . . . 441--456
C. M. da Fonseca and
J. Petronilho Explicit inverse of a tridiagonal
$k$-Toeplitz matrix . . . . . . . . . . 457--482
Walter Gautschi A historical note on Gauss--Kronrod
quadrature . . . . . . . . . . . . . . . 483--484
Paul Houston and
Ilaria Perugia and
Anna Schneebeli and
Dominik Schötzau Interior penalty method for the
indefinite time-harmonic Maxwell
equations . . . . . . . . . . . . . . . 485--518
Avram Sidi Analysis of Atkinson's variable
transformation for numerical integration
over smooth surfaces in $R^3$ . . . . . 519--536
Takashi Suzuki and
Takuya Tsuchiya Convergence analysis of trial free
boundary methods for the two-dimensional
filtration problem . . . . . . . . . . . 537--564
Boris Andreianov and
Franck Boyer and
Florence Hubert Besov regularity and new error estimates
for finite volume approximations of the
$p$-Laplacian . . . . . . . . . . . . . 565--592
F. Bachinger and
U. Langer and
J. Schöberl Numerical analysis of nonlinear
multiharmonic eddy current problems . . 593--616
C. Carstensen A unifying theory of a posteriori finite
element error control . . . . . . . . . 617--637
Harald Garcke and
Ulrich Weikard Numerical approximation of the
Cahn--Larché equation . . . . . . . . . . 639--662
Gabriel N. Gatica and
Salim Meddahi On the coupling of MIXED--FEM and BEM
for an exterior Helmholtz problem in the
plane . . . . . . . . . . . . . . . . . 663--695
Frank Natterer and
Frank Wübbeling Marching schemes for inverse acoustic
scattering problems . . . . . . . . . . 697--710
Valeria Simoncini and
Daniel B. Szyld The effect of non-optimal bases on the
convergence of Krylov subspace methods 711--733
Helena Zarin and
Hans-Görg Roos Interior penalty discontinuous
approximations of convection-diffusion
problems with parabolic layers . . . . . 735--759
Hermann Brunner and
Ningning Yan Finite element methods for optimal
control problems governed by integral
equations and integro-differential
equations . . . . . . . . . . . . . . . 1--27
A. Buffa and
M. Costabel and
M. Dauge Algebraic convergence for anisotropic
edge elements in polyhedral domains . . 29--65
Alexandre Caboussat and
Jacques Rappaz Analysis of a one-dimensional free
boundary flow problem . . . . . . . . . 67--86
Luc Giraud and
Julien Langou and
Miroslav Rozlo\vzník and
Jasper van den Eshof Rounding error analysis of the classical
Gram--Schmidt orthogonalization process 87--100
Desmond J. Higham and
Peter E. Kloeden Numerical methods for nonlinear
stochastic differential equations with
jumps . . . . . . . . . . . . . . . . . 101--119
Kwang Y. Kim Error estimates for a mixed finite
volume method for the $p$-Laplacian
problem . . . . . . . . . . . . . . . . 121--142
Othmar Koch Asymptotically correct error estimation
for collocation methods applied to
singular boundary value problems . . . . 143--164
Philipp Kügler Convergence rate analysis of a
derivative free Landweber iteration for
parameter identification in certain
elliptic PDEs . . . . . . . . . . . . . 165--184
I. Babu\vska and
F. Nobile and
R. Tempone Worst case scenario analysis for
elliptic problems with uncertainty . . . 185--219
Steffen Börm and
Lars Grasedyck Hybrid cross approximation of integral
operators . . . . . . . . . . . . . . . 221--249
Bernardo de la Calle Ysern Error bounds for rational quadrature
formulae of analytic functions . . . . . 251--271
Andrea Cangiani and
Endre Süli Enhanced RFB method . . . . . . . . . . 273--308
Carsten Carstensen and
Paola Causin and
Riccardo Sacco A posteriori dual-mixed adaptive finite
element error control for Lamé and Stokes
equations . . . . . . . . . . . . . . . 309--332
Paolo Costantini and
Tom Lyche and
Carla Manni On a class of weak Tchebycheff systems 333--354
Rob P. Stevenson The uniform saturation property for a
singularly perturbed reaction-diffusion
equation . . . . . . . . . . . . . . . . 355--379
H. Yserentant Sparse grid spaces for the numerical
solution of the electronic Schrödinger
equation . . . . . . . . . . . . . . . . 381--389
François Alouges and
Morgan Pierre Mesh optimization for singular
axisymmetric harmonic maps from the disc
into the sphere . . . . . . . . . . . . 391--414
Dietrich Braess A posteriori error estimators for
obstacle problems --- another look . . . 415--421
P. Ciarlet, Jr. and
B. Jung and
S. Kaddouri and
S. Labrunie and
J. Zou The Fourier Singular Complement Method
for the Poisson problem. Part I:
Prismatic domains . . . . . . . . . . . 423--450
C. Chalons and
F. Coquel Navier--Stokes equations with several
independent pressure laws and explicit
predictor-corrector schemes . . . . . . 451--478
Ilan Degani and
Jeremy Schiff and
David J. Tannor Commuting extensions and cubature
formulae . . . . . . . . . . . . . . . . 479--500
Yinnian He and
Kam-Moon Liu and
Weiwei Sun Multi-level spectral Galerkin method for
the Navier--Stokes problem I: Spatial
discretization . . . . . . . . . . . . . 501--522
Patrick Hild and
Serge Nicaise A posteriori error estimations of
residual type for Signorini's problem 523--549
Talal Rahman and
Xuejun Xu and
Ronald Hoppe Additive Schwarz methods for the
Crouzeix--Raviart mortar finite element
for elliptic problems with discontinuous
coefficients . . . . . . . . . . . . . . 551--572
Rémi Arcangéli and
María Cruz López de Silanes and
Juan José Torrens Error estimates in
$W^{2,\infty}$-semi-norms for discrete
interpolating $D^2$-splines . . . . . . 573--599
Rickard Bensow and
Mats G. Larson Discontinuous Least-Squares finite
element method for the Div--Curl problem 601--617
Luca Dieci and
Erik S. Van Vleck On the error in computing Lyapunov
exponents by QR Methods . . . . . . . . 619--642
Herbert Egger and
Andreas Neubauer Preconditioning Landweber iteration in
Hilbert scales . . . . . . . . . . . . . 643--662
Roland Glowinski and
Jiwen He and
Alexei Lozinski and
Jacques Rappaz and
Joël Wagner Finite element approximation of
multi-scale elliptic problems using
patches of elements . . . . . . . . . . 663--687
F. Guillén-González and
D. Rodríguez-Gómez Bubble finite elements for the primitive
equations of the ocean . . . . . . . . . 689--728
Holger Wendland and
Christian Rieger Approximate Interpolation with
Applications to Selecting Smoothing
Parameters . . . . . . . . . . . . . . . 729--748
Zhong-Zhi Bai and
Beresford N. Parlett and
Zeng-Qi Wang On generalized successive overrelaxation
methods for augmented linear systems . . 1--38
Cristina Brändle and
Fernando Quirós and
Julio D. Rossi An adaptive numerical method to handle
blow-up in a parabolic system . . . . . 39--59
Volker Grimm A note on the Gautschi-type method for
oscillatory second-order differential
equations . . . . . . . . . . . . . . . 61--66
Thorsten Hohage and
Francisco-Javier Sayas Numerical solution of a heat diffusion
problem by boundary element methods
using the Laplace transform . . . . . . 67--92
B. P. Lamichhane and
R. P. Stevenson and
B. I. Wohlmuth Higher Order Mortar Finite Element
Methods in $3$D with Dual Lagrange
Multiplier Bases . . . . . . . . . . . . 93--121
Leszek Plaskota and
Grzegorz W. Wasilkowski Adaption allows efficient integration of
functions with unknown singularities . . 123--144
J. Soko\lowski and
A. \.Zochowski Modelling of topological derivatives for
contact problems . . . . . . . . . . . . 145--179
Alfredo Bermúdez and
Rodolfo Rodríguez and
Pilar Salgado Numerical analysis of electric field
formulations of the eddy current model 181--201
Markus Berndt and
Konstantin Lipnikov and
Mikhail Shashkov and
Mary F. Wheeler and
Ivan Yotov A mortar mimetic finite difference
method on non-matching grids . . . . . . 203--230
Susanne C. Brenner and
Kening Wang Two-level additive Schwarz
preconditioners for C$^0$ interior
penalty methods . . . . . . . . . . . . 231--255
Jing Li A Dual--Primal FETI method for
incompressible Stokes equations . . . . 257--275
María López-Fernández and
Christian Lubich and
Cesar Palencia and
Achim Schädle Fast Runge--Kutta approximation of
inhomogeneous parabolic equations . . . 277--291
Gunar Matthies and
Lutz Tobiska Inf-sup stable non-conforming finite
elements of arbitrary order on triangles 293--309
Jemal Peradze A numerical algorithm for the nonlinear
Kirchhoff string equation . . . . . . . 311--342
ming Wu and
Weiwei Sun The Superconvergence of the Composite
Trapezoidal Rule for Hadamard Finite
Part Integrals . . . . . . . . . . . . . 343--363
S. Beuchler and
R. Schneider and
C. Schwab Erratum: \em Multiresolution weighted
norm equivalences and applications, Num.
Math. 98(1) 67--97 (2004) . . . . . . . 365--366
M. P. Calvo and
C. Palencia A class of explicit multistep
exponential integrators for semilinear
problems . . . . . . . . . . . . . . . . 367--381
V. Caselles and
L. Igual and
O. Sander An axiomatic approach to scalar data
interpolation on surfaces . . . . . . . 383--411
Carlos Castro and
Sorin Micu Boundary controllability of a linear
semi-discrete $1$-D wave equation
derived from a mixed finite element
method . . . . . . . . . . . . . . . . . 413--462
Robert Eymard and
Jürgen Fuhrmann and
Klaus Gärtner A finite volume scheme for nonlinear
parabolic equations derived from
one-dimensional local Dirichlet problems 463--495
William McLean and
Ian H. Sloan and
Vidar Thomée Time discretization via Laplace
transformation of an
integro-differential equation of
parabolic type . . . . . . . . . . . . . 497--522
Gradimir V. Milovanovi\'c and
Aleksandar S. Cvetkovi\'c Gauss--Radau and Gauss--Lobatto interval
quadrature rules for Jacobi weight
function . . . . . . . . . . . . . . . . 523--542
Jeffrey S. Ovall Asymptotically exact functional error
estimators based on superconvergent
gradient recovery . . . . . . . . . . . 543--558
J. M. Carnicer and
M. Gasca and
T. Sauer Interpolation lattices in several
variables . . . . . . . . . . . . . . . 559--581
P. Ciarlet and
B. Jung and
S. Kaddouri and
S. Labrunie and
J. Zou The Fourier Singular Complement Method
for the Poisson problem. Part II:
Axisymmetric domains . . . . . . . . . . 583--610
Gerhard Dziuk and
John E. Hutchinson Finite element approximations to
surfaces of prescribed variable mean
curvature . . . . . . . . . . . . . . . 611--648
B. Maury A time-stepping scheme for inelastic
collisions . . . . . . . . . . . . . . . 649--679
M. Rech and
S. Sauter and
A. Smolianski Two-scale composite finite element
method for Dirichlet problems on
complicated domains . . . . . . . . . . 681--708
Raf Vandebril and
Ellen Van Camp and
Marc Van Barel and
Nicola Mastronardi Orthogonal similarity transformation of
a symmetric matrix into a
diagonal-plus-semiseparable one with
free choice of the diagonal . . . . . . 709--726
J. Frédéric Bonnans and
Julien Laurent-Varin Computation of order conditions for
symplectic partitioned Runge--Kutta
schemes with application to optimal
control . . . . . . . . . . . . . . . . 1--10
Li-Qun Cao Multiscale asymptotic expansion and
finite element methods for the mixed
boundary value problems of second order
elliptic equation in perforated domains 11--45
Z.-H. Cao A class of constraint preconditioners
for nonsymmetric saddle point matrices 47--61
Josef Dick and
Ian H. Sloan and
Xiaoqun Wang and
Henryk Wo\'zniakowski Good lattice rules in weighted Korobov
spaces with general weights . . . . . . 63--97
Sotirios E. Notaris The error norm of Gauss--Kronrod
quadrature formulae for weight functions
of Bernstein--Szeg\Ho type . . . . . . . 99--127
Maxim A. Olshanskii and
Arnold Reusken Analysis of a Stokes interface problem 129--149
J. M. Peña A note on the optimal stability of bases
of univariate functions . . . . . . . . 151--154
Wang Ming and
Jinchao Xu The Morley element for fourth order
elliptic equations in any dimensions . . 155--169
Kent-Andre Mardal and
Ragnar Winther Erratum: \em Uniform preconditioners for
the time dependent Stokes problem, Num.
Math. 98(2) 305--327 (2004) . . . . . . 171--172
Michele Benzi and
Valeria Simoncini On the eigenvalues of a class of saddle
point matrices . . . . . . . . . . . . . 173--196
B. Cano Conserved quantities of some Hamiltonian
wave equations after full discretization 197--223
Carsten Carstensen and
Joachim Schöberl Residual-based a posteriori error
estimate for a mixed Reißner--Mindlin
plate finite element method . . . . . . 225--250
Carsten Carstensen and
Ronald H. W. Hoppe Convergence analysis of an adaptive
nonconforming finite element method . . 251--266
Francesca Fierro and
Andreas Veeser A posteriori error estimators, gradient
recovery by averaging, and
superconvergence . . . . . . . . . . . . 267--298
Q. T. Le Gia and
H. N. Mhaskar Polynomial operators and local
approximation of solutions of
pseudo-differential equations on the
sphere . . . . . . . . . . . . . . . . . 299--322
Yvon Maday and
Julien Salomon and
Gabriel Turinici Monotonic time-discretized schemes in
quantum control . . . . . . . . . . . . 323--338
S. Beuchler and
J. Schöberl New shape functions for triangular
$p$-FEM using integrated Jacobi
polynomials . . . . . . . . . . . . . . 339--366
J. M. Cascón and
L. Ferragut and
M. I. Asensio Space--time adaptive algorithm for the
mixed parabolic problem . . . . . . . . 367--392
Xiao-Xia Guo and
Wen-Wei Lin and
Shu-Fang Xu A structure-preserving doubling
algorithm for nonsymmetric algebraic
Riccati equation . . . . . . . . . . . . 393--412
Kerstin Hesse A lower bound for the worst-case
cubature error on spheres of arbitrary
dimension . . . . . . . . . . . . . . . 413--433
R. Hiptmair and
G. Widmer and
J. Zou Auxiliary space preconditioning in
\boldmath $H_0(\mbox{\bf curl}; \omega)$ 435--459
Daniel Kressner A periodic Krylov--Schur algorithm for
large matrix products . . . . . . . . . 461--483
Yuan-Ming Wang and
C. V. Pao Time-delayed finite difference
reaction-diffusion systems with
nonquasimonotone functions . . . . . . . 485--513
Abderrahmane Bendali and
Yassine Boubendir Non-overlapping Domain Decomposition
Method for a Nodal Finite Element Method 515--537
Peter Benner and
Ralph Byers An Arithmetic for Matrix Pencils: Theory
and New Algorithms . . . . . . . . . . . 539--573
Philippe Chartier and
Erwan Faou and
Ander Murua An Algebraic Approach to Invariant
Preserving Integrators: The Case of
Quadratic and Hamiltonian Invariants . . 575--590
A. Hadjidimos and
N. S. Stylianopoulos Optimal Semi-Iterative Methods for
Complex SOR with Results from Potential
Theory . . . . . . . . . . . . . . . . . 591--610
Adrian T. Hill Nonlinear Stability of General Linear
Methods . . . . . . . . . . . . . . . . 611--629
Jeffrey Humpherys and
Björn Sandstede and
Kevin Zumbrun Efficient Computation of Analytic Bases
in Evans Function Analysis of Large
Systems . . . . . . . . . . . . . . . . 631--642
Sheehan Olver On the Quadrature of Multivariate Highly
Oscillatory Integrals Over Non-polytope
Domains . . . . . . . . . . . . . . . . 643--665
Weiying Zheng and
Zhiming Chen and
Long Wang An Adaptive Finite Element Method for
the H-$\Psi$ Formulation of
Time-dependent Eddy Current Problems . . 667--689
Mejdi Aza\"\iez and
Christine Bernardi and
Nejmeddine Chorfi Spectral discretization of the
vorticity, velocity and pressure
formulation of the Navier--Stokes
equations . . . . . . . . . . . . . . . 1--2
Christophe Berthon Why the MUSCL--Hancock Scheme is
$L^1$-stable . . . . . . . . . . . . . . 27--46
Karsten Eppler and
Helmut Harbrecht Coupling of FEM and BEM in Shape
Optimization . . . . . . . . . . . . . . 47--68
A.-M. Matache and
C. Schwab and
T. P. Wihler Linear Complexity Solution of Parabolic
Integro-differential Equations . . . . . 69--102
Jérémie Szeftel Absorbing Boundary Conditions for
One-dimensional Nonlinear Schrödinger
Equations . . . . . . . . . . . . . . . 103--127
Gabriel Acosta and
Gabriel Monzón Interpolation error estimates in
$W^{1,p}$ for degenerate $Q_1$
isoparametric elements . . . . . . . . . 129--150
B. P. Lamichhane and
B. D. Reddy and
B. I. Wohlmuth Convergence in the incompressible limit
of finite element approximations based
on the Hu--Washizu formulation . . . . . 151--175
Ronny Ramlau and
Gerd Teschke A Tikhonov-based projection iteration
for nonlinear ill-posed problems with
sparsity constraints . . . . . . . . . . 177--203
Raf Vandebril and
Ellen Van Camp and
Marc Van Barel and
Nicola Mastronardi On the convergence properties of the
orthogonal similarity transformations to
tridiagonal and semiseparable (plus
diagonal) form . . . . . . . . . . . . . 205--239
Zhou-Hong Wang and
Ya-Xiang Yuan A subspace implementation of
quasi-Newton trust region methods for
unconstrained optimization . . . . . . . 241--269
L. Beirão da Veiga and
C. Lovadina and
L. F. Pavarino Positive definite balancing
Neumann--Neumann preconditioners for
nearly incompressible elasticity . . . . 271--296
Changbum Chun Construction of Newton-like iteration
methods for solving nonlinear equations 297--315
Runhild A. Klausen and
Ragnar Winther Robust convergence of multi point flux
approximation on rough grids . . . . . . 317--337
D. Noutsos and
S. Serra Capizzano and
P. Vassalos Block band Toeplitz preconditioners
derived from generating function
approximations: analysis and
applications . . . . . . . . . . . . . . 339--376
Danping Yang and
Liqiu Wang Quasi-least-squares finite element
method for steady flow and heat transfer
with system rotation . . . . . . . . . . 377--411
O. Alvarez and
E. Carlini and
R. Monneau and
E. Rouy A convergent scheme for a non local
Hamilton--Jacobi equation modelling
dislocation dynamics . . . . . . . . . . 413--444
Joris Van Deun and
Ronald Cools A stable recurrence for the incomplete
gamma function with imaginary second
argument . . . . . . . . . . . . . . . . 445--456
Francis Filbet A finite volume scheme for the
Patlak--Keller--Segel chemotaxis model 457--488
Charalambos Makridakis and
Ricardo H. Nochetto A posteriori error analysis for higher
order dissipative methods for evolution
problems . . . . . . . . . . . . . . . . 489--514
Ricardo H. Nochetto and
Alfred Schmidt and
Kunibert G. Siebert and
Andreas Veeser Pointwise a posteriori error estimates
for monotone semi-linear equations . . . 515--538
Bojan Popov and
Ognian Trifonov One-sided stability and convergence of
the Nessyahu--Tadmor scheme . . . . . . 539--559
Li Zhang and
Weijun Zhou and
Donghui Li Global convergence of a modified
Fletcher--Reeves conjugate gradient
method with Armijo-type line search . . 561--572
Antoni Buades and
Bartomeu Coll and
Jean-Michel Morel Neighborhood filters and PDEs . . . . . 1--34
Jérôme Droniou and
Robert Eymard A mixed finite volume scheme for
anisotropic diffusion problems on any
grid . . . . . . . . . . . . . . . . . . 35--71
Robert Eymard and
Danielle Hilhorst and
Martin Vohralk A combined finite
volume-nonconforming/mixed-hybrid finite
element scheme for degenerate parabolic
problems . . . . . . . . . . . . . . . . 73--131
Gensun Fang and
Xuehua Li Optimal quadrature problem on classes
defined by kernels satisfying certain
oscillation properties . . . . . . . . . 133--158
Maxim A. Olshanskii and
Jörg Peters and
Arnold Reusken Uniform preconditioners for a parameter
dependent saddle point problem with
application to generalized Stokes
interface equations . . . . . . . . . . 159--191
Rodolfo Araya and
Edwin Behrens and
Rodolfo Rodríguez A posteriori error estimates for
elliptic problems with Dirac delta
source terms . . . . . . . . . . . . . . 193--216
Zakaria Belhachmi and
Christine Bernardi and
Simone Deparis Weighted Clément operator and application
to the finite element discretization of
the axisymmetric Stokes problem . . . . 217--247
Daniele Boffi and
Matteo Conforti and
Lucia Gastaldi Modified edge finite elements for
photonic crystals . . . . . . . . . . . 249--266
David P. Nicholls and
Nilima Nigam Error analysis of an enhanced DtN--FE
method for exterior scattering problems 267--298
Alicja Smoktunowicz and
Jesse L. Barlow and
Julien Langou A note on the error analysis of
classical Gram--Schmidt . . . . . . . . 299--313
Chunxiong Zheng Numerical simulation of a modified KdV
equation on the whole real axis . . . . 315--335
J. Casado-Daz and
T. Chacón Rebollo and
V. Girault and
M. Gómez Mármol and
F. Murat Finite elements approximation of second
order linear elliptic equations in
divergence form with right-hand side in
$L^1$ . . . . . . . . . . . . . . . . . 337--374
Delin Chu and
Xinmin Liu and
Volker Mehrmann A numerical method for computing the
Hamiltonian Schur form . . . . . . . . . 375--412
Ligia L. Cristea and
Josef Dick and
Gunther Leobacher and
Friedrich Pillichshammer The tent transformation can improve the
convergence rate of quasi-Monte Carlo
algorithms using digital nets . . . . . 413--455
Andreas Krebs and
Ernst P. Stephan A $p$-version finite element method for
nonlinear elliptic variational
inequalities in $2$D . . . . . . . . . . 457--480
William McLean and
Kassem Mustapha A second-order accurate numerical method
for a fractional wave equation . . . . . 481--510
Antonio Aric\`o and
Marco Donatelli A $V$-cycle multigrid for multilevel
matrix algebras: proof of optimality . . 511--547
A. Barinka and
W. Dahmen and
R. Schneider Fast computation of adaptive wavelet
expansions . . . . . . . . . . . . . . . 549--589
François Bouchon Monotonicity of some perturbations of
irreducibly diagonally dominant
$M$-matrices . . . . . . . . . . . . . . 591--601
Wolfgang Hackbusch and
Boris N. Khoromskij and
Stefan Sauter Adaptive Galerkin boundary element
methods with panel clustering . . . . . 603--631
Shuhuang Xiang Efficient Filon-type methods for
$\int_a^b f(x) e^{i\omega g(x)} \, dx$ 633--658
Harry Yserentant The hyperbolic cross space approximation
of electronic wavefunctions . . . . . . 659--690
Lutz Angermann and
Song Wang Convergence of a fitted finite volume
method for the penalized Black--Scholes
equation governing European and American
option pricing . . . . . . . . . . . . . 1--40
B. Beckermann and
G. H. Golub and
G. Labahn On the numerical condition of a
generalized Hankel eigenvalue problem 41--68
Alexei Bespalov and
Norbert Heuer The $p$-version of the boundary element
method for weakly singular operators on
piecewise plane open surfaces . . . . . 69--97
U. Fidalgo Prieto and
J. R. Illán González and
G. López Lagomasino Convergence and computation of
simultaneous rational quadrature
formulas . . . . . . . . . . . . . . . . 99--128
Beno\^\it Merlet and
Julien Vovelle Error estimate for finite volume scheme 129--155
Yongmin Zhang Convergence of free boundaries in
discrete obstacle problems . . . . . . . 157--164
L. Beirão da Veiga and
J. Niiranen and
R. Stenberg A posteriori error estimates for the
Morley plate bending element . . . . . . 165--179
Yanzhao Cao and
Hongtao Yang and
Li Yin Finite element methods for semilinear
elliptic stochastic partial differential
equations . . . . . . . . . . . . . . . 181--198
James Demmel and
Ioana Dumitriu and
Olga Holtz and
Robert Kleinberg Fast matrix multiplication is stable . . 199--224
Andrei Maxim Asymptotic exactness of an a posteriori
error estimator based on the
equilibrated residual method . . . . . . 225--253
J. M. Nordbotten and
I. Aavatsmark and
G. T. Eigestad Monotonicity of control volume methods 255--288
J. Saranen and
J. Anttila The boundary element spline collocation
for nonuniform meshes on the torus . . . 289--302
Manuel Torrilhon and
Rolf Jeltsch Essentially optimal explicit
Runge--Kutta methods with application to
hyperbolic-parabolic equations . . . . . 303--334
Ming Wang and
Zhong-ci Shi and
Jinchao Xu A new class of Zienkiewicz-type
non-conforming element in any dimensions 335--347
Roland Becker and
Boris Vexler Optimal control of the
convection-diffusion equation using
stabilized finite element methods . . . 349--367
Matania Ben-Artzi and
Jiequan Li Hyperbolic balance laws: Riemann
invariants and the generalized Riemann
problem . . . . . . . . . . . . . . . . 369--425
Brian A. Coomes and
Hüseyin Koçak and
Kenneth J. Palmer Transversal connecting orbits from
shadowing . . . . . . . . . . . . . . . 427--469
V. Domínguez and
I. G. Graham and
V. P. Smyshlyaev A hybrid numerical-asymptotic boundary
integral method for high-frequency
acoustic scattering . . . . . . . . . . 471--510
Marko Huhtanen Averaging operators for exponential
splittings . . . . . . . . . . . . . . . 511--528
Anwei Chai and
Zuowei Shen Deconvolution: a wavelet frame approach 529--587
I. G. Graham and
P. O. Lechner and
R. Scheichl Domain decomposition for multiscale PDEs 589--626
Wolfgang Hackbusch Approximation of coalescence integrals
in population balance models with local
mass conservation . . . . . . . . . . . 627--657
Raytcho D. Lazarov and
Shuai Lu and
Sergei V. Pereverzev On the balancing principle for some
problems of numerical analysis . . . . . 659--689
Yajuan Sun Quadratic invariants and
multi-symplecticity of partitioned
Runge--Kutta methods for Hamiltonian
PDEs . . . . . . . . . . . . . . . . . . 691--715
B. Bujanda and
C. Clavero and
J. L. Gracia and
J. C. Jorge A high order uniformly convergent
alternating direction scheme for time
dependent reaction-diffusion singularly
perturbed problems . . . . . . . . . . . 1--25
J. V. Burke and
A. S. Lewis and
M. L. Overton Spectral conditioning and pseudospectral
growth . . . . . . . . . . . . . . . . . 27--37
Erik Burman and
Miguel A. Fernández Continuous interior penalty finite
element method for the time-dependent
Navier--Stokes equations: space
discretization and convergence . . . . . 39--77
Xiao Shan Chen On perturbation bounds of generalized
eigenvalues for diagonalizable pairs . . 79--86
Snorre H. Christiansen Stability of Hodge decompositions in
finite element spaces of differential
forms in arbitrary dimension . . . . . . 87--106
L. Diening and
M. Ruzika Interpolation operators in
Orlicz--Sobolev spaces . . . . . . . . . 107--129
Miquel Grau-Sánchez Improvements of the efficiency of some
three-step iterative like-Newton methods 131--146
Dianne P. OLeary and
Zdenk Strakos and
Petr Tichý On sensitivity of Gauss--Christoffel
quadrature . . . . . . . . . . . . . . . 147--174
Stefano Serra-Capizzano Simplification of a result on banded
Toeplitz matrices and BVM methods . . . 175--179
Rémi Arcangéli and
Mara Cruz López de Silanes and
Juan José Torrens An extension of a bound for functions in
Sobolev spaces, with applications to
$(m,s)$-spline interpolation and
smoothing . . . . . . . . . . . . . . . 181--211
Andrea Bonito and
Philippe Clément and
Marco Picasso Mathematical and numerical analysis of a
simplified time-dependent viscoelastic
flow . . . . . . . . . . . . . . . . . . 213--255
Claudio Canuto and
Tomas Kozubek A fictitious domain approach to the
numerical solution of PDEs in stochastic
domains . . . . . . . . . . . . . . . . 257--293
Mario Durán and
Ricardo Hein and
Jean-Claude Nédélec Computing numerically the Green's
function of the half-plane Helmholtz
operator with impedance boundary
conditions . . . . . . . . . . . . . . . 295--314
Michael S. Floater and
Kai Hormann Barycentric rational interpolation with
no poles and high rates of approximation 315--331
Jin Liang and
Bei Hu and
Lishang Jiang and
Baojun Bian On the rate of convergence of the
binomial tree scheme for American
options . . . . . . . . . . . . . . . . 333--352
Ivo Babu\vska and
Uday Banerjee and
John E. Osborn Superconvergence in the generalized
finite element method . . . . . . . . . 353--395
S. Bertoluzza and
F. Brezzi and
G. Sangalli The method of mothers for
non-overlapping non-matching DDM . . . . 397--431
Vincent Bompart and
Dominikus Noll and
Pierre Apkarian Second-order nonsmooth optimization for
H [] synthesis . . . . . . . . . . . . . 433--454
Dietrich Braess and
Carsten Carstensen and
Ronald H. W. Hoppe Convergence analysis of a conforming
adaptive finite element method for an
obstacle problem . . . . . . . . . . . . 455--471
C. Carstensen and
Jun Hu A unifying theory of a posteriori error
control for nonconforming finite element
methods . . . . . . . . . . . . . . . . 473--502
Wolfgang Dahmen and
Shai Dekel and
Pencho Petrushev Multilevel preconditioning for partition
of unity methods: some analytic concepts 503--532
Santiago Badia and
Ramon Codina Convergence analysis of the FEM
approximation of the first order
projection method for incompressible
flows with and without the inf-sup
condition . . . . . . . . . . . . . . . 533--557
B. de la Calle Ysern and
P. González-Vera Rational quadrature formulae on the unit
circle with arbitrary poles . . . . . . 559--587
M. P. Calvo and
E. Cuesta and
C. Palencia Runge--Kutta convolution quadrature
methods for well-posed equations with
memory . . . . . . . . . . . . . . . . . 589--614
Kathy Driver and
Kerstin Jordaan Interlacing of zeros of shifted
sequences of one-parameter orthogonal
polynomials . . . . . . . . . . . . . . 615--624
Maksymilian Dryja and
Xuemin Tu A domain decomposition discretization of
parabolic problems . . . . . . . . . . . 625--640
Marcus R. Garvie and
Catalin Trenchea Finite element approximation of
spatially extended predator-prey
interactions with the Holling type II
functional response . . . . . . . . . . 641--667
Roger Samelson and
Roger Temam and
Cheng Wang and
Shouhong Wang A fourth-order numerical method for the
planetary geostrophic equations with
inviscid geostrophic balance . . . . . . 669--705
J. A. C. Weideman and
L. N. Trefethen The kink phenomenon in Fejér and
Clenshaw--Curtis quadrature . . . . . . 707--727
Friedrich L. Bauer In memoriam John Todd (1911--2007) . . . 1--6
François Bouchut and
Christian Klingenberg and
Knut Waagan A multiwave approximate Riemann solver
for ideal MHD based on relaxation. I:
theoretical framework . . . . . . . . . 7--42
Len Bos and
Stefano De Marchi and
Marco Vianello and
Yuan Xu Bivariate Lagrange interpolation at the
Padua points: the ideal theory approach 43--57
James Demmel and
Ioana Dumitriu and
Olga Holtz Fast linear algebra is stable . . . . . 59--91
Xiaobing Feng and
Michael Neilan and
Andreas Prohl Error analysis of finite element
approximations of the inverse mean
curvature flow arising from the general
relativity . . . . . . . . . . . . . . . 93--119
Matthias Geissert Applications of discrete maximal $L_p$
regularity for finite element operators 121--149
Andreas Rieder and
Arne Schneck Optimality of the fully discrete
filtered backprojection algorithm for
tomographic inversion . . . . . . . . . 151--175
Chunjia Bi and
Victor Ginting Two-grid finite volume element method
for linear and nonlinear elliptic
problems . . . . . . . . . . . . . . . . 177--198
Christophe Buet and
Stéphane Cordier An asymptotic preserving scheme for
hydrodynamics radiative transfer models 199--221
Guillaume Dujardin and
Erwan Faou Normal form and long time analysis of
splitting schemes for the linear
Schrödinger equation with small potential 223--262
Emmanuel Frénod and
Alexandre Mouton and
Eric Sonnendrücker Two-scale numerical simulation of the
weakly compressible $1$D isentropic
Euler equations . . . . . . . . . . . . 263--293
Desmond J. Higham and
Xuerong Mao and
Chenggui Yuan Preserving exponential mean-square
stability in the simulation of hybrid
stochastic differential equations . . . 295--325
Á. Rodríguez-Arós and
J. M. Viaño and
M. Sofonea Numerical analysis of a frictional
contact problem for viscoelastic
materials with long-term memory . . . . 327--358
Sören Bartels and
Carsten Carstensen A convergent adaptive finite element
method for an optimal design problem . . 359--385
L. Beirão da Veiga A residual based error estimator for the
Mimetic Finite Difference method . . . . 387--406
Martin Campos Pinto and
Michel Mehrenberger Convergence of an adaptive
semi-Lagrangian scheme for the
Vlasov--Poisson system . . . . . . . . . 407--444
Wenbin Chen and
Xingjie Li and
Dong Liang Energy-conserved splitting FDTD methods
for Maxwell's equations . . . . . . . . 445--485
Mats G. Larson and
Axel Målqvist A posteriori error estimates for mixed
finite element approximations of
elliptic problems . . . . . . . . . . . 487--500
Habib Ammari and
Hyeonbae Kang and
Eunjoo Kim and
Kaouthar Louati and
Michael S. Vogelius A MUSIC-type algorithm for detecting
internal corrosion from electrostatic
boundary measurements . . . . . . . . . 501--528
Bruno Després Finite volume transport schemes . . . . 529--556
Eskil Hansen and
Alexander Ostermann Dimension splitting for evolution
equations . . . . . . . . . . . . . . . 557--570
M. Hintermüller and
F. Tröltzsch and
I. Yousept Mesh-independence of semismooth Newton
methods for Lavrentiev-regularized state
constrained nonlinear optimal control
problems . . . . . . . . . . . . . . . . 571--603
Jörg Liesen and
Beresford N. Parlett On nonsymmetric saddle point matrices
that allow conjugate gradient iterations 605--624
Claudia Negulescu Numerical analysis of a multiscale
finite element scheme for the resolution
of the stationary Schrödinger equation 625--652
John W. Barrett and
Harald Garcke and
Robert Nürnberg A variational formulation of anisotropic
geometric evolution equations in higher
dimensions . . . . . . . . . . . . . . . 1--44
Maria Charina and
Costanza Conti and
Massimo Fornasier Adaptive frame methods for nonlinear
variational problems . . . . . . . . . . 45--75
A. Galántai and
C. J. Hegedüs Perturbation bounds for polynomials . . 77--100
Stefan Holst An a priori error estimate for a
monotone mixed finite-element
discretization of a convection-diffusion
problem . . . . . . . . . . . . . . . . 101--119
Joseph W. Jerome A trapping principle and convergence
result for finite element approximate
solutions of steady reaction/diffusion
systems . . . . . . . . . . . . . . . . 121--142
Jiming Wu and
Weiwei Sun The superconvergence of Newton--Cotes
rules for the Hadamard finite-part
integral on an interval . . . . . . . . 143--165
Long Chen and
Jinchao Xu Stability and accuracy of adapted finite
element methods for singularly perturbed
problems . . . . . . . . . . . . . . . . 167--191
J. A. Ezquerro and
M. A. Hernández The Ulm method under mild
differentiability conditions . . . . . . 193--207
Gabriel N. Gatica and
Francisco-Javier Sayas Characterizing the inf-sup condition on
product spaces . . . . . . . . . . . . . 209--231
Thirupathi Gudi and
Neela Nataraj and
Amiya K. Pani hp-Discontinuous Galerkin methods for
strongly nonlinear elliptic boundary
value problems . . . . . . . . . . . . . 233--268
Jean-Luc Guermond and
Bojan Popov $L^1$-minimization methods for
Hamilton--Jacobi equations: the
one-dimensional case . . . . . . . . . . 269--284
Florin A. Radu and
Iuliu Sorin Pop and
Peter Knabner Error estimates for a mixed finite
element discretization of some
degenerate parabolic equations . . . . . 285--311
Frank Strau and
Vincent Heuveline and
Ben Schweizer Existence and approximation results for
shape optimization problems in rotor
dynamics . . . . . . . . . . . . . . . . 313--332
Mohammed-Najib Benbourhim and
Abderrahman Bouhamidi Pseudo-polyharmonic vectorial
approximation for div-curl and elastic
semi-norms . . . . . . . . . . . . . . . 333--364
Wolfgang Hackbusch and
Boris N. Khoromskij and
Eugene E. Tyrtyshnikov Approximate iterations for structured
matrices . . . . . . . . . . . . . . . . 365--383
Helmut Harbrecht and
Reinhold Schneider and
Christoph Schwab Sparse second moment analysis for
elliptic problems in stochastic domains 385--414
Yinnian He and
Jinchao Xu and
Aihui Zhou and
Jian Li Local and parallel finite element
algorithms for the stokes problem . . . 415--434
Tim Kröger and
Tobias Preusser Stability of the $8$-tetrahedra
shortest-interior-edge partitioning
method . . . . . . . . . . . . . . . . . 435--457
Marie-Laurence Mazure On dimension elevation in Quasi Extended
Chebyshev spaces . . . . . . . . . . . . 459--475
Valeria Simoncini and
Daniel B. Szyld New conditions for non-stagnation of
minimal residual methods . . . . . . . . 477--487
Sören Bartels and
Andreas Prohl Convergence of an implicit, constraint
preserving finite element discretization
of $p$-harmonic heat flow into spheres 489--507
S. C. Brenner and
J. Cui and
F. Li and
L.-Y. Sung A nonconforming finite element method
for a two-dimensional curl-curl and
grad-div problem . . . . . . . . . . . . 509--533
Zhuliang Chen and
Peter A. Forsyth A numerical scheme for the impulse
control formulation for pricing variable
annuities with a guaranteed minimum
withdrawal benefit (GMWB) . . . . . . . 535--569
Xu Da Stability of the difference type methods
for linear Volterra equations in Hilbert
spaces . . . . . . . . . . . . . . . . . 571--595
S. Ervedoza and
E. Zuazua Perfectly matched layers in $1$-d:
energy decay for continuous and
semi-discrete waves . . . . . . . . . . 597--634
Claire Chainais-Hillairet and
Christian Bataillon Mathematical and numerical study of a
corrosion model . . . . . . . . . . . . 1--25
M. I. M. Copetti A quasi-static Signorini contact problem
for a thermoviscoelastic beam . . . . . 27--47
Pedro Galán del Sastre and
Rodolfo Bermejo Error estimates of proper orthogonal
decomposition eigenvectors and Galerkin
projection for a general dynamical
system arising in fluid models . . . . . 49--81
Peter Strobach Updating the principal angle
decomposition . . . . . . . . . . . . . 83--112
David Cohen and
Ernst Hairer and
Christian Lubich Conservation of energy, momentum and
actions in numerical discretizations of
non-linear wave equations . . . . . . . 113--143
S. Engleder and
O. Steinbach Stabilized boundary element methods for
exterior Helmholtz problems . . . . . . 145--160
V. Girault and
M. F. Wheeler Numerical discretization of a Darcy
Forchheimer model . . . . . . . . . . . 161--198
Helmut Harbrecht and
Reinhold Schneider and
Christoph Schwab Multilevel frames for sparse tensor
product spaces . . . . . . . . . . . . . 199--220
André Uschmajew Well-posedness of convex maximization
problems on Stiefel manifolds and
orthogonal tensor product approximations 309--331
E. Cuesta and
Ch. Makridakis A posteriori error estimates and maximal
regularity for approximations of fully
nonlinear parabolic problems in Banach
spaces . . . . . . . . . . . . . . . . . 257--275
Wolfgang Dahmen and
Thorsten Rohwedder and
Reinhold Schneider and
Andreas Zeiser Adaptive eigenvalue computation:
complexity estimates . . . . . . . . . . 277--312
Xiaoying Dai and
Jinchao Xu and
Aihui Zhou Convergence and optimal complexity of
adaptive finite element eigenvalue
computations . . . . . . . . . . . . . . 313--355
Marie-Laurence Mazure Which spaces for design? . . . . . . . . 357--392
Dominik Schötzau and
Thomas P. Wihler A posteriori error estimation for
hp-version time-stepping methods for
parabolic partial differential equations 475--509
Vít Dolej\vsí and
Miloslav Vlasák Analysis of a BDF DGFE scheme for
nonlinear convection diffusion problems 405--447
W. Hackbusch Efficient convolution with the Newton
potential in $d$ dimensions . . . . . . 449--489
Jialin Hong and
Yajuan Sun Generating functions of multi-symplectic
RK methods via DW Hamilton Jacobi
equations . . . . . . . . . . . . . . . 491--519
Stephen J. Kirkland and
Michael Neumann and
Nung-Sing Sze On optimal condition numbers for Markov
chains . . . . . . . . . . . . . . . . . 521--537
Jitendra Kumar and
Gerald Warnecke Convergence analysis of sectional
methods for solving breakage population
balance equations --- II: the cell
average technique . . . . . . . . . . . 539--559
Antonio R. Laliena and
Francisco-Javier Sayas Theoretical aspects of the application
of convolution quadrature to scattering
of acoustic waves . . . . . . . . . . . 637--678
Néstor E. Aguilera and
Pedro Morin Approximating optimization problems over
convex functions . . . . . . . . . . . . 1--34
Roland Becker and
Shipeng Mao An optimally convergent adaptive mixed
finite element method . . . . . . . . . 35--54
Gerhard Dziuk Computational parametric Willmore flow 55--80
Jitendra Kumar and
Gerald Warnecke Convergence analysis of sectional
methods for solving breakage population
balance equations --- I: the fixed pivot
technique . . . . . . . . . . . . . . . 81--108
Javier Segura and
Nico M. Temme Numerically satisfactory solutions of
Kummer recurrence relations . . . . . . 109--119
Martin Vohralík Residual flux-based a posteriori error
estimates for finite volume and related
locally conservative methods . . . . . . 121--158
T. Tran and
Q. T. Le Gia and
I. H. Sloan and
E. P. Stephan Preconditioners for pseudodifferential
equations on the sphere with radial
basis functions . . . . . . . . . . . . 141--163
Alina Chertock and
Alexander Kurganov A second-order positivity preserving
central-upwind scheme for chemotaxis and
haptotaxis models . . . . . . . . . . . 169--205
Deren Han and
Wei Xu and
Hai Yang An operator splitting method for
variational inequalities with partially
unknown mappings . . . . . . . . . . . . 207--237
Torsten Linß Robust convergence of a compact
fourth-order finite difference scheme
for reaction diffusion problems . . . . 239--249
José Luis Morales and
Jorge Nocedal and
Mikhail Smelyanskiy An algorithm for the fast solution of
symmetric linear complementarity
problems . . . . . . . . . . . . . . . . 251--266
P. Oswald Optimality of multilevel preconditioning
for nonconforming $P_1$ finite elements 267--291
Samuli Ikonen and
Jari Toivanen Operator splitting methods for pricing
American options under stochastic
volatility . . . . . . . . . . . . . . . 299--324
Klaus Deckelnick and
Andreas Günther and
Michael Hinze Finite element approximation of elliptic
control problems with constraints on the
gradient . . . . . . . . . . . . . . . . 335--350
Pascal Heider A local least-squares method for solving
nonlinear partial differential equations
of second order . . . . . . . . . . . . 351--375
Daniel Kressner A block Newton method for nonlinear
eigenvalue problems . . . . . . . . . . 355--372
Chengming Huang Delay-dependent stability of high order
Runge--Kutta methods . . . . . . . . . . 377--387
Myoungnyoun Kim and
Mitsuhiro T. Nakao and
Yoshitaka Watanabe and
Takaaki Nishida A numerical verification method of
bifurcating solutions for
$3$-dimensional Rayleigh Bénard problems 389--406
Shipeng Mao and
Zhong-ci Shi High accuracy analysis of two
nonconforming plate elements . . . . . . 407--443
René Simon and
Walter Zulehner On Schwarz-type smoothers for saddle
point problems with applications to
PDE-constrained optimization problems 445--468
Young-Ju Lee and
Jinbiao Wu and
Jinru Chen Robust multigrid method for the planar
linear elasticity problems . . . . . . . 473--496
Thomas Beelitz and
Andreas Frommer and
Bruno Lang and
Paul Willems A framework for existence tests based on
the topological degree and homotopy . . 493--507
Qinian Jin and
Ulrich Tautenhahn On the discrepancy principle for some
Newton type methods for solving
nonlinear inverse problems . . . . . . . 509--558
Kenneth Hvistendahl Karlsen and
Siddhartha Mishra and
Nils Henrik Risebro Convergence of finite volume schemes for
triangular systems of conservation laws 559--589
Andreas Prohl and
Markus Schmuck Convergent discretizations for the
Nernst--Planck--Poisson system . . . . . 591--630
Jialin Hong and
Shanshan Jiang and
Chun Li Accuracy of classical conservation laws
for Hamiltonian PDEs under Runge--Kutta
discretizations . . . . . . . . . . . . 1--23
Jun Hu and
Zhongci Shi A new a posteriori error estimate for
the Morley element . . . . . . . . . . . 25--40
A. Jentzen and
P. E. Kloeden and
A. Neuenkirch Pathwise approximation of stochastic
differential equations on domains:
higher order convergence rates without
global Lipschitz coefficients . . . . . 41--64
Michael Junk and
Zhaoxia Yang Convergence of lattice Boltzmann methods
for Navier--Stokes flows in periodic and
bounded domains . . . . . . . . . . . . 65--87
Chang-Ock Lee and
Eun-Hee Park A dual iterative substructuring method
with a penalty term . . . . . . . . . . 89--113
Konstantin Lipnikov and
Mikhail Shashkov and
Ivan Yotov Local flux mimetic finite difference
methods . . . . . . . . . . . . . . . . 115--152
Stefan Vater and
Rupert Klein Stability of a Cartesian grid projection
method for zero Froude number shallow
water flows . . . . . . . . . . . . . . 123--161
Stein Krogstad and
Hans Z. Munthe-Kaas and
Antonella Zanna Generalized polar coordinates on Lie
groups and numerical integrators . . . . 161--187
Mihai Bostan and
Nicolas Crouseilles Convergence of a semi-Lagrangian scheme
for the reduced Vlasov Maxwell system
for laser plasma interaction . . . . . . 169--195
Alfredo Deaño and
Daan Huybrechs Complex Gaussian quadrature of
oscillatory integrals . . . . . . . . . 197--219
J. Guzmán and
D. Leykekhman and
J. Rossmann and
A. H. Schatz Hölder estimates for Green's functions on
convex polyhedral domains and their
applications to finite element methods 221--243
Zhiping Li and
Xianmin Xu Convergence and stability of a numerical
method for micromagnetics . . . . . . . 245--265
Ren-Cang Li and
Wei Zhang The rate of convergence of GMRES on a
tridiagonal Toeplitz linear system . . . 267--293
Runchang Lin Discontinuous Galerkin least-squares
finite element methods for singularly
perturbed reaction-diffusion problems
with discontinuous coefficients and
boundary singularities . . . . . . . . . 295--318
Jean-Paul Berrut First applications of a formula for the
error of finite sinc interpolation . . . 341--361
Carsten Carstensen and
Thirupathi Gudi and
Max Jensen A unifying theory of a posteriori error
control for discontinuous Galerkin FEM 363--379
Norbert Heuer and
Francisco-Javier Sayas Crouzeix--Raviart boundary elements . . 381--401
Shuai Lu and
Sergei V. Pereverzev Sparse recovery by the standard Tikhonov
method . . . . . . . . . . . . . . . . . 403--424
Gradimir V. Milovanovi and
Aleksandar S. Cvetkovi and
Marija P. Stani Quadrature formulae with multiple nodes
and a maximal trigonometric degree of
exactness . . . . . . . . . . . . . . . 425--448
Christian Pötzsche and
Martin Rasmussen Computation of nonautonomous invariant
and inertial manifolds . . . . . . . . . 449--483
Armin Lechleiter and
Andreas Rieder Towards a general convergence theory for
inexact Newton regularizations . . . . . 521--548
Jian-Feng Cai and
Raymond H. Chan and
Lixin Shen and
Zuowei Shen Simultaneously inpainting in image and
transformed domains . . . . . . . . . . 509--533
Simon Foucart Allometry constants of
finite-dimensional spaces: theory and
computations . . . . . . . . . . . . . . 535--564
Lars Grasedyck and
Ronald Kriemann and
Sabine Le Borne Domain decomposition based $H {\mathcal
H}$-LU preconditioning . . . . . . . . . 565--600
Mohammed Shuker Mahmood Solution of nonlinear
convection-diffusion problems by a
conservative Galerkin-characteristics
method . . . . . . . . . . . . . . . . . 601--636
Sébastien Loisel and
Daniel B. Szyld On the geometric convergence of
optimized Schwarz methods with
applications to elliptic problems . . . 697--728
Laurent Demanet and
Lexing Ying Wave atoms and time upscaling of wave
equations . . . . . . . . . . . . . . . 1--71
M. Gaudioso and
E. Gorgone and
M. F. Monaco Piecewise linear approximations in
nonconvex nonsmooth optimization . . . . 73--88
Peter Strobach Square-root Householder subspace
tracking . . . . . . . . . . . . . . . . 89--121
Philipp Grohs Smoothness equivalence properties of
univariate subdivision schemes and their
projection analogues . . . . . . . . . . 163--180
D. Breda and
S. Maset and
R. Vermiglio Numerical approximation of
characteristic values of partial
retarded functional differential
equations . . . . . . . . . . . . . . . 181--242
Espen R. Jakobsen and
Kenneth H. Karlsen and
Claudia La Chioma Error estimates for approximate
solutions to Bellman equations
associated with controlled
jump-diffusions . . . . . . . . . . . . 221--255
George W. Patrick and
Charles Cuell Error analysis of variational
integrators of unconstrained Lagrangian
systems . . . . . . . . . . . . . . . . 243--264
Sun-Mi Kim and
Lothar Reichel Sensitivity analysis for Szeg
polynomials . . . . . . . . . . . . . . 265--279
O. Steinbach and
G. Unger A boundary element method for the
Dirichlet eigenvalue problem of the
Laplace operator . . . . . . . . . . . . 281--298
L. Beirão da Veiga and
K. Lipnikov and
G. Manzini Convergence analysis of the high-order
mimetic finite difference method . . . . 325--356
Wolf-Jürgen Beyn and
Alexander Lust A hybrid method for computing Lyapunov
exponents . . . . . . . . . . . . . . . 357--375
Sylvain Ervedoza Spectral conditions for admissibility
and observability of wave systems:
applications to finite element schemes 377--415
Jungong Xue and
Qiang Ye Entrywise relative perturbation bounds
for exponentials of essentially
non-negative matrices . . . . . . . . . 393--403
Carla Ferreira and
Beresford Parlett Convergence of LR algorithm for a
one-point spectrum tridiagonal matrix 417--431
Reinhold Schneider Analysis of the projected coupled
cluster method in electronic structure
calculation . . . . . . . . . . . . . . 433--471
Annalisa Buffa and
Patrick Ciarlet and
Erell Jamelot Solving electromagnetic eigenvalue
problems in polyhedral domains with
nodal finite elements . . . . . . . . . 497--518
Froilán M. Dopico and
Plamen Koev and
Juan M. Molera Implicit standard Jacobi gives high
relative accuracy . . . . . . . . . . . 519--553
F. Haider and
J.-P. Croisille and
B. Courbet Stability analysis of the cell centered
finite-volume \sc Muscl method on
unstructured grids . . . . . . . . . . . 555--600
Raf Vandebril and
Marc Van Barel and
Nicola Mastronardi Rational $ Q R $-iteration without
inversion . . . . . . . . . . . . . . . 561--575
Patrick Henning and
Mario Ohlberger The heterogeneous multiscale finite
element method for elliptic
homogenization problems in perforated
domains . . . . . . . . . . . . . . . . 601--629
J. Makazaga and
A. Murua A new class of symplectic integration
schemes based on generating functions 631--642
Ana Alonso Rodríguez and
Alberto Valli and
Rafael Vázquez Hernández A formulation of the eddy current
problem in the presence of electric
ports . . . . . . . . . . . . . . . . . 643--672
J. M. Aldaz and
O. Kounchev and
H. Render Shape preserving properties of
generalized Bernstein operators on
Extended Chebyshev spaces . . . . . . . 1--25
F. Fang and
C. W. Oosterlee Pricing early-exercise and discrete
barrier options by Fourier-cosine series
expansions . . . . . . . . . . . . . . . 27--62
Gabriel N. Gatica and
George C. Hsiao and
Salim Meddahi A residual-based a posteriori error
estimator for a two-dimensional fluid
solid interaction problem . . . . . . . 63--106
Chunjia Bi and
Victor Ginting A residual-type a posteriori error
estimate of finite volume element method
for a quasi-linear elliptic problem . . 107--132
Georgios Akrivis and
Charalambos Makridakis and
Ricardo H. Nochetto Optimal order a posteriori error
estimates for a class of Runge--Kutta
and Galerkin methods . . . . . . . . . . 133--160
Shuzi Zhou and
Zhanyong Zou A new iterative method for discrete HJB
equations . . . . . . . . . . . . . . . 159--167
Hyam Abboud and
Vivette Girault and
Toni Sayah A second order accuracy for a full
discretized time-dependent
Navier--Stokes equations by a two-grid
scheme . . . . . . . . . . . . . . . . . 189--231
Paul Deuring Finite element error estimates for $3$D
exterior incompressible flow with
nonzero velocity at infinity . . . . . . 233--270
Fatih Ecevit and
Fernando Reitich Analysis of multiple scattering
iterations for high-frequency scattering
problems. I: the two-dimensional case 271--354
Clemens Pechstein and
Robert Scheichl Analysis of FETI methods for multiscale
PDEs . . . . . . . . . . . . . . . . . . 293--333