Last update:
Thu Nov 30 06:07:48 MST 2023
Akash Anand and
Yassine Boubendir and
Fatih Ecevit and
Fernando Reitich Analysis of multiple scattering
iterations for high-frequency scattering
problems. II: The three-dimensional
scalar case . . . . . . . . . . . . . . 373--427
Erwan Faou and
Beno\^\it Grébert and
Eric Paturel Birkhoff normal form for splitting
methods applied to semilinear
Hamiltonian PDEs. Part I.
Finite-dimensional discretization . . . 429--458
Erwan Faou and
Beno\^\it Grébert and
Eric Paturel Birkhoff normal form for splitting
methods applied to semilinear
Hamiltonian PDEs. Part II. Abstract
splitting . . . . . . . . . . . . . . . 459--490
Jinchao Xu and
Qingsong Zou Analysis of linear and quadratic
simplicial finite volume methods for
elliptic equations . . . . . . . . . . . 469--492
Maxim A. Olshanskii and
Arnold Reusken A finite element method for surface
PDEs: matrix properties . . . . . . . . 491--520
P.-A. Absil and
P. Van Dooren Two-sided Grassmann--Rayleigh quotient
iteration . . . . . . . . . . . . . . . 549--571
Yves Nievergelt Median spheres: theory, algorithms,
applications . . . . . . . . . . . . . . 573--606
Sheehan Olver Shifted GMRES for oscillatory integrals 607--628
Robert Schaback Unsymmetric meshless methods for
operator equations . . . . . . . . . . . 629--651
Ken-ichiro Tanaka and
Masaaki Sugihara and
Kazuo Murota and
Masatake Mori Function classes for double exponential
integration formulas . . . . . . . . . . 631--655
David E. Stewart and
Mihai Anitescu Optimal control of systems with
discontinuous differential equations . . 653--695
Olivier Bokanowski and
Nadia Megdich and
Hasnaa Zidani Convergence of a non-monotone scheme for
Hamilton--Jacobi--Bellman equations with
discontinous initial data . . . . . . . 1--44
Ivar Ekeland and
Santiago Moreno-Bromberg An algorithm for computing solutions of
variational problems with global
convexity constraints . . . . . . . . . 45--69
Marlis Hochbruck and
Michael Hönig On the convergence of a regularizing
Levenberg--Marquardt scheme for
nonlinear ill-posed problems . . . . . . 71--79
Drahoslava Janovská and
Gerhard Opfer The classification and the computation
of the zeros of quaternionic, two-sided
polynomials . . . . . . . . . . . . . . 81--100
Patrick Hild and
Yves Renard A stabilized Lagrange multiplier method
for the finite element approximation of
contact problems in elastostatics . . . 101--129
Rolf Stenberg A nonstandard mixed finite element
family . . . . . . . . . . . . . . . . . 131--139
V. D. Rushai Numerical solution of some partial
differential equations by means of a
deterministic method of approximate
functional integration . . . . . . . . . 153--167
Steffen Börm Approximation of solution operators of
elliptic partial differential equations
by H \mathcalH- and $H^2
{\mathcal{H}^2}$-matrices . . . . . . . 165--193
Lori Badea and
Marco Discacciati and
Alfio Quarteroni Numerical analysis of the
Navier--Stokes/Darcy coupling . . . . . 195--227
Qinian Jin On a regularized Levenberg--Marquardt
method for solving nonlinear inverse
problems . . . . . . . . . . . . . . . . 229--259
Xiliang Lu and
Ping Lin Error estimate of the $P_1$
nonconforming finite element method for
the penalized unsteady Navier--Stokes
equations . . . . . . . . . . . . . . . 261--287
Dante V. Manna and
Luis A. Medina and
Victor H. Moll and
Armin Straub A fast numerical algorithm for the
integration of rational functions . . . 289--307
Yiorgos-Sokratis Smyrlis Mathematical foundation of the MFS for
certain elliptic systems in linear
elasticity . . . . . . . . . . . . . . . 319--340
Paolo Costantini and
Carla Manni A geometric approach for Hermite
subdivision . . . . . . . . . . . . . . 333--369
Michael Neilan A nonconforming Morley finite element
method for the fully nonlinear
Monge--Amp\`ere equation . . . . . . . . 371--394
L'ubomír Bañas and
Andreas Prohl and
Reiner Schätzle Finite element approximations of
harmonic map heat flows and wave maps
into spheres of nonconstant radii . . . 395--432
Tammo Jan Dijkema and
Rob Stevenson A sparse Laplacian in tensor product
wavelet coordinates . . . . . . . . . . 433--449
Wansheng Wang and
Chengjian Zhang Preserving stability implicit Euler
method for nonlinear Volterra and
neutral functional differential
equations in Banach space . . . . . . . 451--474
J. G. Verwer Runge--Kutta methods and viscous wave
equations . . . . . . . . . . . . . . . 485--507
Ben Adcock Multivariate modified Fourier series and
application to boundary value problems 511--552
Rongfang Gong and
Ge Wang and
Xiaoliang Cheng and
Weimin Han A novel approach for studies of
multispectral bioluminescence tomography 553--583
D. C. Antonopoulou and
M. Plexousakis Discontinuous Galerkin methods for the
linear Schrödinger equation in
non-cylindrical domains . . . . . . . . 585--608
Boris Andreianov and
Paola Goatin and
Nicolas Seguin Finite volume schemes for locally
constrained conservation laws . . . . . 609--645
François Bouchut and
Christian Klingenberg and
Knut Waagan A multiwave approximate Riemann solver
for ideal MHD based on relaxation II:
numerical implementation with $3$ and
$5$ waves . . . . . . . . . . . . . . . 647--679
Fuke Wu and
Xuerong Mao and
Lukas Szpruch Almost sure exponential stability of
numerical solutions for stochastic delay
differential equations . . . . . . . . . 681--697
Markus Bause and
Joachim Hoffmann and
Peter Knabner First-order convergence of multi-point
flux approximation on triangular grids
and comparison with mixed finite element
methods . . . . . . . . . . . . . . . . 1--29
Stéphane Clain and
Vivien Clauzon $L^\infty$ stability of the \sc Muscl
methods . . . . . . . . . . . . . . . . 31--64
Corinna Klapproth and
Anton Schiela and
Peter Deuflhard Consistency results on Newmark methods
for dynamical contact problems . . . . . 65--94
Ren-Cang Li and
Wen-Wei Lin and
Chern-Shuh Wang Structured backward error for
palindromic polynomial eigenvalue
problems . . . . . . . . . . . . . . . . 95--122
Qiang Niu and
Laura Grigori and
Pawan Kumar and
Frédéric Nataf Modified tangential frequency filtering
decomposition and its Fourier analysis 123--148
R. Pytlak and
T. Tarnawski Preconditioned conjugate gradient
algorithms for nonconvex problems with
box constraints . . . . . . . . . . . . 149--175
Marc Van Barel and
Raf Vandebril and
Paul Van Dooren and
Katrijn Frederix Implicit double shift QR-algorithm for
companion matrices . . . . . . . . . . . 177--212
Erik Burman and
Benjamin Stamm Bubble stabilized discontinuous Galerkin
method for parabolic and elliptic
problems . . . . . . . . . . . . . . . . 213--241
X. Claeys and
F. Collino Augmented Galerkin schemes for the
numerical solution of scattering by
small obstacles . . . . . . . . . . . . 243--268
José Luis López and
Nico M. Temme Asymptotics and numerics of polynomials
used in Tricomi and Buchholz expansions
of Kummer functions . . . . . . . . . . 269--289
S. Ferraz-Leite and
C. Ortner and
D. Praetorius Convergence of simple adaptive Galerkin
schemes based on $h$--$h/2$ error
estimators . . . . . . . . . . . . . . . 291--316
A. F. Pazoto and
M. Sepúlveda and
O. Vera Villagrán Uniform stabilization of numerical
schemes for the critical generalized
Korteweg--de Vries equation with damping 317--356
F. Benmansour and
G. Carlier and
G. Peyré and
F. Santambrogio Derivatives with respect to metrics and
applications: subgradient marching
algorithm . . . . . . . . . . . . . . . 357--381
Huangxin Chen and
Xuejun Xu and
Ronald H. W. Hoppe Convergence and quasi-optimality of
adaptive nonconforming finite element
methods for some nonsymmetric and
indefinite problems . . . . . . . . . . 383--419
T. Sorokina Intrinsic supersmoothness of
multivariate splines . . . . . . . . . . 421--434
Marcus Stiemer A Galerkin method for mixed
parabolic-elliptic partial differential
equations . . . . . . . . . . . . . . . 435--462
Shuhuang Xiang and
Xiaojun Chen and
Haiyong Wang Error bounds for approximation in
Chebyshev points . . . . . . . . . . . . 463--491
Holger Wendland Multiscale analysis in Sobolev spaces on
bounded domains . . . . . . . . . . . . 493--517
Ricardo H. Nochetto and
Tobias von Petersdorff and
Chen-Song Zhang A posteriori error analysis for a class
of integral equations and variational
inequalities . . . . . . . . . . . . . . 519--552
Dario A. Bini and
Beatrice Meini and
Federico Poloni Transforming algebraic Riccati equations
into unilateral quadratic matrix
equations . . . . . . . . . . . . . . . 553--578
Raimund Bürger and
Kenneth H. Karlsen and
Héctor Torres and
John D. Towers Second-order schemes for conservation
laws with discontinuous flux modelling
clarifier-thickener units . . . . . . . 579--617
Josef Dalík Averaging of directional derivatives in
vertices of nonobtuse regular
triangulations . . . . . . . . . . . . . 619--644
Massimo Fornasier and
Andreas Langer and
Carola-Bibiane Schönlieb A convergent overlapping domain
decomposition method for total variation
minimization . . . . . . . . . . . . . . 645--685
Toshio Fukushima Fast computation of incomplete elliptic
integral of first kind by half argument
transformation . . . . . . . . . . . . . 687--719
M. Astorino and
C. Grandmont Convergence analysis of a projection
semi-implicit coupling scheme for
fluid-structure interaction problems . . 721--767
Yuan Li and
Rong An Semi-discrete stabilized finite element
methods for Navier--Stokes equations
with nonlinear slip boundary conditions
based on regularization procedure . . . 1--36
Paola F. Antonietti and
Aldo Pratelli Finite element approximation of the
Sobolev constant . . . . . . . . . . . . 37--64
Ivo Babuska and
Uday Banerjee and
Hengguang Li The effect of numerical integration on
the finite element approximation of
linear functionals . . . . . . . . . . . 65--88
Carlos Beltrán A continuation method to solve
polynomial systems and its complexity 89--113
Eduardo Casas and
Vili Dhamo Error estimates for the numerical
approximation of a quasilinear Neumann
problem under minimal regularity of the
data . . . . . . . . . . . . . . . . . . 115--145
Enrico De Micheli and
Giovanni A. Viano Numerical recovery of location and
residue of poles of meromorphic
functions . . . . . . . . . . . . . . . 147--183
Alan Demlow and
Rob Stevenson Convergence and quasi-optimality of an
adaptive finite element method for
controlling $L_2$ errors . . . . . . . . 185--218
Petros Drineas and
Michael W. Mahoney and
S. Muthukrishnan and
Tamás Sarlós Faster least squares approximation . . . 219--249
Miloslav Feistauer and
Václav Kucera and
Karel Najzar and
Jaroslava Prokopová Analysis of space--time discontinuous
Galerkin method for nonlinear
convection-diffusion problems . . . . . 251--288
Xiaojun Chen and
Andreas Frommer and
Bruno Lang Computational existence proofs for
spherical $t$-designs . . . . . . . . . 289--305
Heiko Gimperlein and
Matthias Maischak and
Elmar Schrohe and
Ernst P. Stephan Adaptive FE--BE coupling for strongly
nonlinear transmission problems with
Coulomb friction . . . . . . . . . . . . 307--332
Francisco Guillén-González and
Juan Vicente Gutiérrez-Santacreu Error estimates of a linear decoupled
Euler--FEM scheme for a mass diffusion
model . . . . . . . . . . . . . . . . . 333--371
Martin Hanke and
Nuutti Hyvönen and
Stefanie Reusswig Convex backscattering support in
electric impedance tomography . . . . . 373--396
Yuliya Babenko and
Tatyana Leskevich and
Jean-Marie Mirebeau Sharp asymptotics of the $L_p$
approximation error for interpolation on
block partitions . . . . . . . . . . . . 397--423
L. Beirão da Veiga and
D. Mora A mimetic discretization of the
Reissner--Mindlin plate bending problem 425--462
K. Deckers and
A. Bultheel and
J. Van Deun A generalized eigenvalue problem for
quasi-orthogonal rational functions . . 463--506
Mikko Byckling and
Marko Huhtanen Approximate factoring of the inverse . . 507--528
Arieh Iserles A fast and simple algorithm for the
computation of Legendre coefficients . . 529--553
Qinian Jin and
Ulrich Tautenhahn Inexact Newton regularization methods in
Hilbert scales . . . . . . . . . . . . . 555--579
Lutz Kämmerer and
Stefan Kunis On the stability of the hyperbolic cross
discrete Fourier transform . . . . . . . 581--600
Yanzhao Cao and
Max Gunzburger and
Xiaoming He and
Xiaoming Wang Robin--Robin domain decomposition
methods for the steady-state
Stokes--Darcy system with the
Beavers--Joseph interface condition . . 601--629
Robert C. Kirby Fast simplicial finite element
algorithms using Bernstein polynomials 631--652
Qingsong Zou and
Andreas Veeser and
Ralf Kornhuber and
Carsten Gräser Hierarchical error estimates for the
energy functional in obstacle problems 653--677
Christian Kreuzer and
Kunibert G. Siebert Decay rates of adaptive finite elements
with Dörfler marking . . . . . . . . . . 679--716
Matteo Lesinigo and
Carlo D'Angelo and
Alfio Quarteroni A multiscale Darcy--Brinkman model for
fluid flow in fractured porous media . . 717--752
Marcio Gameiro and
Jean-Philippe Lessard Rigorous computation of smooth branches
of equilibria for the three dimensional
Cahn--Hilliard equation . . . . . . . . 753--778
Luca Dieci and
Luciano Lopez Sliding motion on discontinuity surfaces
of high co-dimension. A construction for
selecting a Filippov vector field . . . 779--811
Shuai Lu and
Sergei V. Pereverzev Multi-parameter regularization and its
numerical realization . . . . . . . . . 1--31
Mats G. Larson and
Axel Målqvist A posteriori error estimates for mixed
finite element approximations of
parabolic problems . . . . . . . . . . . 33--48
Silvia Bertoluzza and
Mourad Ismail and
Bertrand Maury Analysis of the fully discrete fat
boundary method . . . . . . . . . . . . 49--77
Marie-Laurence Mazure Quasi Extended Chebyshev spaces and
weight functions . . . . . . . . . . . . 79--108
Emre Mengi Locating a nearest matrix with an
eigenvalue of prespecified algebraic
multiplicity . . . . . . . . . . . . . . 109--135
Marc Alexander Schweitzer Stable enrichment and local
preconditioning in the
particle-partition of unity method . . . 137--170
O. Steinbach and
M. Windisch Stable boundary element domain
decomposition methods for the Helmholtz
equation . . . . . . . . . . . . . . . . 171--195
Eberhard Bänsch and
Pedro Morin and
Ricardo H. Nochetto Preconditioning a class of fourth order
problems by operator splitting . . . . . 197--228
Joseph Páez Chávez Discretizing dynamical systems with
generalized Hopf bifurcations . . . . . 229--246
A. Rafiei and
M. Bollhöfer Robust incomplete factorization for
nonsymmetric matrices . . . . . . . . . 247--269
L. Beirão da Veiga and
A. Buffa and
J. Rivas and
G. Sangalli Some estimates for
$h$-$p$-$k$-refinement in Isogeometric
Analysis . . . . . . . . . . . . . . . . 271--305
Marc Alexander Schweitzer Multilevel particle-partition of unity
method . . . . . . . . . . . . . . . . . 307--328
Thomas Respaud and
Eric Sonnendrücker Analysis of a new class of forward
semi-Lagrangian schemes for the $1$D
Vlasov Poisson equations . . . . . . . . 329--366
Juliette Venel A numerical scheme for a class of
sweeping processes . . . . . . . . . . . 367--400
Carsten Carstensen and
Joscha Gedicke An oscillation-free adaptive FEM for
symmetric eigenvalue problems . . . . . 401--427
Georgios Akrivis and
Charalambos Makridakis and
Ricardo H. Nochetto Galerkin and Runge--Kutta methods:
unified formulation, a posteriori error
estimates and nodal superconvergence . . 429--456
Artem Napov and
Yvan Notay Smoothing factor, order of prolongation
and actual multigrid convergence . . . . 457--483
Clemens Pechstein and
Robert Scheichl Analysis of FETI methods for multiscale
PDEs. Part II: interface variation . . . 485--529
Larry L. Schumaker and
Lujun Wang Spline spaces on TR-meshes with hanging
vertices . . . . . . . . . . . . . . . . 531--548
Roger B. Sidje On the simultaneous tridiagonalization
of two symmetric matrices . . . . . . . 549--566
L. Knizhnerman and
V. Simoncini Convergence analysis of the extended
Krylov subspace method for the Lyapunov
equation . . . . . . . . . . . . . . . . 567--586
C. Ortner and
W. Wollner A priori error estimates for optimal
control problems with pointwise
constraints on the gradient of the state 587--600
Franck Boyer and
Florence Hubert and
Jérôme Le Rousseau Uniform controllability properties for
space/time-discretized parabolic
equations . . . . . . . . . . . . . . . 601--661
Jason S. Howell and
Noel J. Walkington Inf-sup conditions for twofold saddle
point problems . . . . . . . . . . . . . 663--693
Q. T. Le Gia and
I. H. Sloan and
Andrew J. Wathen Stability and preconditioning for a
hybrid approximation on the sphere . . . 695--711
Tsung-Ming Huang and
Wen-Wei Lin and
Wei-Shuo Su Palindromic quadratization and
structure-preserving algorithm for
palindromic matrix polynomials of even
degree . . . . . . . . . . . . . . . . . 713--735
Alfio Quarteroni and
Ricardo Ruiz-Baier Analysis of a finite volume element
method for the Stokes problem . . . . . 737--764
Steffen Weißer Residual error estimate for BEM-based
FEM on polygonal meshes . . . . . . . . 765--788
Lehel Banjai and
Christian Lubich and
Jens Markus Melenk Runge--Kutta convolution quadrature for
operators arising in wave propagation 1--20
S. C. Brenner and
J. Cui and
T. Gudi and
L.-Y. Sung Multigrid algorithms for symmetric
discontinuous Galerkin methods on graded
meshes . . . . . . . . . . . . . . . . . 21--47
Corinna Klapproth and
Anton Schiela and
Peter Deuflhard Adaptive timestep control for the
contact-stabilized Newmark method . . . 49--81
Charalambos Makridakis and
Christoph Ortner and
Endre Süli A priori error analysis of two
force-based atomistic/continuum models
of a periodic chain . . . . . . . . . . 83--121
Andrea Barth and
Christoph Schwab and
Nathaniel Zollinger Multi-level Monte Carlo Finite Element
method for elliptic PDEs with stochastic
coefficients . . . . . . . . . . . . . . 123--161
Serge Gratton and
Mélodie Mouffe and
Philippe L. Toint Stopping rules and backward error
analysis for bound-constrained
optimization . . . . . . . . . . . . . . 163--187
Xuemin Tu A three-level BDDC algorithm for a
saddle point problem . . . . . . . . . . 189--217
Mark Ainsworth and
Tomás Vejchodský Fully computable robust a posteriori
error bounds for singularly perturbed
reaction-diffusion problems . . . . . . 219--243
Klaus Deckelnick and
Charles M. Elliott and
Vanessa Styles Numerical analysis of an inverse problem
for the eikonal equation . . . . . . . . 245--269
Jan Baldeaux and
Josef Dick A construction of polynomial lattice
rules with small gain coefficients . . . 271--297
Pablo J. Blanco and
Marco Discacciati and
Alfio Quarteroni Modeling dimensionally-heterogeneous
problems: analysis, approximation and
applications . . . . . . . . . . . . . . 299--335
Froilán M. Dopico and
Plamen Koev Perturbation theory for the LDU
factorization and accurate computations
for diagonally dominant matrices . . . . 337--371
Anton Schiela and
Andreas Günther An interior point algorithm with inexact
step computation in function space for
state constrained optimal control . . . 373--407
Sören Bartels and
Rüdiger Müller Error control for the approximation of
Allen--Cahn and Cahn--Hilliard equations
with a logarithmic potential . . . . . . 409--435
Alain F. Berlinet and
Christophe Roland Geometric interpretation of some Cauchy
related methods . . . . . . . . . . . . 437--464
Wolfgang Hackbusch Tensorisation of vectors and their
efficient convolution . . . . . . . . . 465--488
Wolf-Jürgen Beyn and
Cedric Effenberger and
Daniel Kressner Continuation of eigenvalues and
invariant pairs for parameterized
nonlinear eigenvalue problems . . . . . 489--516
Marie-Laurence Mazure How to build all Chebyshevian spline
spaces good for geometric design? . . . 517--556
C. Carstensen and
J. Gedicke and
V. Mehrmann and
A. Miedlar An adaptive homotopy approach for
non-selfadjoint eigenvalue problems . . 557--583
Gregory E. Fasshauer and
Qi Ye Reproducing kernels of generalized
Sobolev spaces via a Green function
approach with distributional operators 585--611
Snorre H. Christiansen On the linearization of Regge calculus 613--640
Raf Vandebril and
Gianna M. Del Corso A unification of unitary similarity
transforms to compressed representations 641--665
Jianguo Huang and
Xuehai Huang Local and parallel algorithms for fourth
order problems discretized by the
Morley--Wang--Xu element method . . . . 667--697
Manuel Gräf and
Daniel Potts On the computation of spherical designs
by a new optimization approach based on
fast spherical Fourier transforms . . . 699--724
Avram Sidi Acceleration of convergence of general
linear sequences by the Shanks
transformation . . . . . . . . . . . . . 725--764
Christoph Schwab and
Rob Stevenson Fast evaluation of nonlinear functionals
of tensor product wavelet expansions . . 765--786
Natalia Kopteva and
Martin Stynes Stabilised approximation of
interior-layer solutions of a singularly
perturbed semilinear reaction-diffusion
problem . . . . . . . . . . . . . . . . 787--810
Long Chen and
Ricardo H. Nochetto and
Jinchao Xu Optimal multilevel methods for graded
bisection grids . . . . . . . . . . . . 1--34
Kathy Driver Interlacing of zeros of Gegenbauer
polynomials of non-consecutive degree
from different sequences . . . . . . . . 35--44
Dinh Nho H\`ao and
Tran Nhan Tam Quyen Convergence rates for Tikhonov
regularization of a two-coefficient
identification problem in an elliptic
boundary value problem . . . . . . . . . 45--77
Antti Hannukainen and
Sergey Korotov and
Michal Krízek The maximum angle condition is not
necessary for convergence of the finite
element method . . . . . . . . . . . . . 79--88
Madalina Petcu Exponential decay of the power spectrum
and finite dimensionality for solutions
of the three dimensional primitive
equations . . . . . . . . . . . . . . . 89--116
Duong Pham and
Thanh Tran A domain decomposition method for
solving the hypersingular integral
equation on the sphere with spherical
splines . . . . . . . . . . . . . . . . 117--151
Weiwei Sun and
Zhi-zhong Sun Finite difference methods for a
nonlinear and strongly coupled heat and
moisture transport system in textile
materials . . . . . . . . . . . . . . . 153--187
Weizhu Bao and
Xuanchun Dong Analysis and comparison of numerical
methods for the Klein--Gordon equation
in the nonrelativistic limit regime . . 189--229
Tomás P. Barrios and
Rommel Bustinza An a posteriori error analysis of an
augmented discontinuous Galerkin
formulation for Darcy flow . . . . . . . 231--269
Jean-Marie Mirebeau Optimally adapted meshes for finite
elements of arbitrary order and $W^{1,
p}$ norms . . . . . . . . . . . . . . . 271--305
Ghislain Haine and
Karim Ramdani Reconstructing initial data using
observers: error analysis of the
semi-discrete and fully discrete
approximations . . . . . . . . . . . . . 307--343
Ira Neitzel and
Boris Vexler A priori error estimates for space--time
finite element discretization of
semilinear parabolic optimal control
problems . . . . . . . . . . . . . . . . 345--386
Zheng-Jian Bai and
Stefano Serra-Capizzano and
Zhi Zhao Nonnegative inverse eigenvalue problems
with partial eigendata . . . . . . . . . 387--431
M. C. De Bonis and
G. Mastroianni and
I. Notarangelo Gaussian quadrature rules with
exponential weights on $(-1, 1)$ . . . . 433--464
Gabriel N. Gatica and
George C. Hsiao and
Francisco-Javier Sayas Relaxing the hypotheses of
Bielak--MacCamy's BEM-FEM coupling . . . 465--487
John W. Barrett and
Harald Garcke and
Robert Nürnberg Parametric approximation of isotropic
and anisotropic elastic flow for closed
and open curves . . . . . . . . . . . . 489--542
Feng Wang and
Xuejun Xu Some new residual-based a posteriori
error estimators for the mortar finite
element methods . . . . . . . . . . . . 543--571
L. Badea and
R. Krause One- and two-level Schwarz methods for
variational inequalities of the second
kind and their application to frictional
contact . . . . . . . . . . . . . . . . 573--599
Rodolfo Bermejo and
Laura Saavedra Modified Lagrange--Galerkin methods of
first and second order in time for
convection-diffusion problems . . . . . 601--638
Jungong Xue and
Shufang Xu and
Ren-Cang Li Accurate solutions of M-matrix Sylvester
equations . . . . . . . . . . . . . . . 639--670
Jungong Xue and
Shufang Xu and
Ren-Cang Li Accurate solutions of M-matrix algebraic
Riccati equations . . . . . . . . . . . 671--700
Sebastian Holtz and
Thorsten Rohwedder and
Reinhold Schneider On manifolds of tensors of fixed TT-rank 701--731
Arnd Rösch and
Daniel Wachsmuth A-posteriori error estimates for optimal
control problems with state and control
constraints . . . . . . . . . . . . . . 733--762
David Cohen and
Magdalena Sigg Convergence analysis of trigonometric
methods for stiff second-order
stochastic differential equations . . . 1--29
S. Giani and
I. G. Graham Adaptive finite element methods for
computing band gaps in photonic crystals 31--64
Karl Larsson and
Mats G. Larson Continuous piecewise linear finite
elements for the Kirchhoff--Love plate
equation . . . . . . . . . . . . . . . . 65--97
Q. T. Le Gia and
I. H. Sloan and
H. Wendland Multiscale RBF collocation for solving
PDEs on spheres . . . . . . . . . . . . 99--125
John R. Singler Balanced POD for model reduction of
linear PDE systems: convergence theory 127--164
Mary Wheeler and
Guangri Xue and
Ivan Yotov A multipoint flux mixed finite element
method on distorted quadrilaterals and
hexahedra . . . . . . . . . . . . . . . 165--204
Bernhard Beckermann and
Stefan Güttel Superlinear convergence of the rational
Arnoldi method for the approximation of
matrix functions . . . . . . . . . . . . 205--236
Qinian Jin On the order optimality of the
regularization via inexact Newton
iterations . . . . . . . . . . . . . . . 237--260
Robert C. Kirby and
Kieu Tri Thinh Fast simplicial quadrature-based finite
element operators using Bernstein
polynomials . . . . . . . . . . . . . . 261--279
S. Cacace and
A. Chambolle and
R. Monneau A posteriori error estimates for the
effective Hamiltonian of dislocation
dynamics . . . . . . . . . . . . . . . . 281--335
O. Reichmann Optimal space--time adaptive wavelet
methods for degenerate parabolic PDEs 337--365
K. H. Karlsen and
U. Koley and
N. H. Risebro An error estimate for the finite
difference approximation to degenerate
convection-diffusion equations . . . . . 367--395
Assyr Abdulle and
Gilles Vilmart A priori error estimates for finite
element methods with numerical
quadrature for nonmonotone nonlinear
elliptic problems . . . . . . . . . . . 397--431
Jonas Ballani Fast evaluation of singular BEM
integrals based on tensor approximations 433--460
Len Bos and
Stefano De Marchi and
Kai Hormann and
Georges Klein On the Lebesgue constant of barycentric
rational interpolation at equidistant
nodes . . . . . . . . . . . . . . . . . 461--471
Johann S. Brauchart and
Josef Dick Quasi-Monte Carlo rules for numerical
integration over the unit sphere
${\mathbb{S}^2}$ . . . . . . . . . . . . 473--502
Antonio Falcó and
Anthony Nouy Proper generalized decomposition for
nonlinear convex problems in tensor
Banach spaces . . . . . . . . . . . . . 503--530
Yuji Nakatsukasa On the condition numbers of a multiple
eigenvalue of a generalized eigenvalue
problem . . . . . . . . . . . . . . . . 531--544
Xiangxiong Zhang and
Chi-Wang Shu A minimum entropy principle of high
order schemes for gas dynamics equations 545--563
Renato Spigler and
Marco Vianello The `phase function' method to solve
second-order asymptotically polynomial
differential equations . . . . . . . . . 565--586
Rémi Arcangéli and
María Cruz López de Silanes and
Juan José Torrens Extension of sampling inequalities to
Sobolev semi-norms of fractional order
and derivative data . . . . . . . . . . 587--608
M. Bebendorf and
R. Venn Constructing nested bases approximations
from the entries of non-local operators 609--635
Marianne Bessemoulin-Chatard A finite volume scheme for
convection-diffusion equations with
nonlinear diffusion derived from the
Scharfetter--Gummel scheme . . . . . . . 637--670
Wei Zeng and
Lok Ming Lui and
Feng Luo and
Tony Fan-Cheong Chan and
Shing-Tung Yau and
others Computing quasiconformal maps using an
auxiliary metric and discrete curvature
flow . . . . . . . . . . . . . . . . . . 671--703
Franz Chouly and
Norbert Heuer A Nitsche-based domain decomposition
method for hypersingular integral
equations . . . . . . . . . . . . . . . 705--729
Jun Hu and
Zhongci Shi and
Jinchao Xu Convergence and optimality of the
adaptive Morley element method . . . . . 731--752
Xiaoming Wang An efficient second order in time scheme
for approximating long time statistical
properties of the two dimensional
Navier--Stokes equations . . . . . . . . 753--779
Hans-Christian Kreusler and
Harry Yserentant The mixed regularity of electronic wave
functions in fractional order and
weighted Sobolev spaces . . . . . . . . 781--802
David Cohen and
Xavier Raynaud Convergent numerical schemes for the
compressible hyperelastic rod wave
equation . . . . . . . . . . . . . . . . 1--59
Huoyuan Duan and
Ping Lin and
Roger C. E. Tan $C^0$ elements for generalized
indefinite Maxwell equations . . . . . . 61--99
Samuel Ferraz-Leite and
Jens Markus Melenk and
Dirk Praetorius Numerical quadratic energy minimization
bound to convex constraints in thin-film
micromagnetics . . . . . . . . . . . . . 101--131
Y. Huang and
P. A. Forsyth and
G. Labahn Iterative methods for the solution of a
singular control formulation of a GMWB
pricing problem . . . . . . . . . . . . 133--167
Elias Jarlebring and
Wim Michiels and
Karl Meerbergen A linear eigenvalue algorithm for the
nonlinear eigenvalue problem . . . . . . 169--195
Sven Beuchler and
Veronika Pillwein and
Sabine Zaglmayr Sparsity optimized high order finite
element functions for $H$(div) on
simplices . . . . . . . . . . . . . . . 197--225
Christophe Buet and
Bruno Després and
Emmanuel Franck Design of asymptotic preserving finite
volume schemes for the hyperbolic heat
equation on unstructured meshes . . . . 227--278
Jian Li and
Zhangxin Chen and
Yinnian He A stabilized multi-level method for
non-singular finite volume solutions of
the stationary $3$D Navier--Stokes
equations . . . . . . . . . . . . . . . 279--304
Sheehan Olver A general framework for solving
Riemann--Hilbert problems numerically 305--340
Jorge San Martín and
Jean-François Scheid and
Loredana Smaranda A modified Lagrange--Galerkin method for
a fluid-rigid system with discontinuous
density . . . . . . . . . . . . . . . . 341--382
Jerry Gagelman and
Harry Yserentant A spectral method for Schrödinger
equations with smooth confinement
potentials . . . . . . . . . . . . . . . 383--398
F. Augustin and
P. Rentrop Stochastic Galerkin techniques for
random ordinary differential equations 399--419
Michele Coti Zelati and
Florentina Tone Multivalued attractors and their
approximation: applications to the
Navier--Stokes equations . . . . . . . . 421--441
Josef Dick Random weights, robust lattice rules and
the geometry of the cbc$r$c algorithm 443--467
Mike Espig and
Wolfgang Hackbusch and
Thorsten Rohwedder and
Reinhold Schneider Variational calculus with sums of
elementary tensors of fixed rank . . . . 469--488
Mike Espig and
Wolfgang Hackbusch A regularized Newton method for the
efficient approximation of tensors
represented in the canonical tensor
format . . . . . . . . . . . . . . . . . 489--525
Carla Ferreira and
Beresford Parlett and
Froilán M. Dopico Sensitivity of eigenvalues of an
unsymmetric tridiagonal matrix . . . . . 527--555
Ralf Hiptmair and
Jingzhi Li and
Jun Zou Convergence analysis of finite element
methods for $H({\rm curl};
\Omega)$-elliptic interface problems . . 557--578
Chengming Huang and
Stefan Vandewalle Unconditionally stable difference
methods for delay partial differential
equations . . . . . . . . . . . . . . . 579--601
Chin-Yun Chen On the properties of Sard kernels and
multiple error estimates for bounded
linear functionals of bivariate
functions with application to
non-product cubature . . . . . . . . . . 603--643
Eduardo Casas and
Roland Herzog and
Gerd Wachsmuth Approximation of sparse controls in
semilinear equations by piecewise linear
functions . . . . . . . . . . . . . . . 645--669
Jamie Bramwell and
Leszek Demkowicz and
Jay Gopalakrishnan and
Weifeng Qiu A locking-free $ h p $ DPG method for
linear elasticity with symmetric
stresses . . . . . . . . . . . . . . . . 671--707
Thomas I. Seidman and
Matthias K. Gobbert and
David W. Trott \ldots Finite element approximation for
time-dependent diffusion with
measure-valued source . . . . . . . . . 709--723
Antti Hannukainen and
Rolf Stenberg and
Martin Vohralík A unified framework for a posteriori
error estimation for the Stokes problem 725--769
Wenbin Chen and
Yanqiu Wang A mixed finite element method for thin
film epitaxy . . . . . . . . . . . . . . 771--793
Susanne C. Brenner An additive analysis of multiplicative
Schwarz methods . . . . . . . . . . . . 1--19
Miguel A. Fernández Incremental displacement-correction
schemes for incompressible
fluid-structure interaction . . . . . . 21--65
Yinnian He Euler implicit/explicit iterative scheme
for the stationary Navier--Stokes
equations . . . . . . . . . . . . . . . 67--96
Youngmok Jeon and
Eun-Jae Park New locally conservative finite element
methods on a rectangular mesh . . . . . 97--119
Michael A. Matt A $ C^r $ trivariate macro-element based
on the Worsey--Farin split of a
tetrahedron . . . . . . . . . . . . . . 121--144
S. Sauter and
A. Veit A Galerkin method for retarded boundary
integral equations with smooth and
compactly supported temporal basis
functions . . . . . . . . . . . . . . . 145--176
Gautam Wilkins and
Ming Gu A modified Brent's method for finding
zeros of functions . . . . . . . . . . . 177--188
Wolf-Jürgen Beyn and
Alexander Lust Error analysis of a hybrid method for
computing Lyapunov exponents . . . . . . 189--217
Ophélie Angelini and
Konstantin Brenner and
Danielle Hilhorst A finite volume method on general meshes
for a degenerate parabolic
convection-reaction-diffusion equation 219--257
John A. Evans and
Thomas J. R. Hughes Explicit trace inequalities for
isogeometric analysis and parametric
hexahedral finite elements . . . . . . . 259--290
Carsten Carstensen and
Daniel Peterseim and
Hella Rabus Optimal adaptive nonconforming FEM for
the Stokes problem . . . . . . . . . . . 291--308
Pedro Gajardo and
Alberto Seeger Solving inverse cone-constrained
eigenvalue problems . . . . . . . . . . 309--331
Daniel B. Szyld and
Fei Xue Local convergence analysis of several
inexact Newton-type algorithms for
general nonlinear eigenvalue problems 333--362
Stefano Zampini Balancing Neumann--Neumann methods for
the cardiac bidomain model . . . . . . . 363--393
Jesse L. Barlow and
Alicja Smoktunowicz Reorthogonalized block classical
Gram--Schmidt . . . . . . . . . . . . . 395--423
C. Carstensen and
C. Merdon Effective postprocessing for
equilibration a posteriori error
estimators . . . . . . . . . . . . . . . 425--459
Dario Bambusi and
Erwan Faou and
Beno\^\it Grébert Existence and stability of ground states
for fully discrete approximations of the
nonlinear Schrödinger equation . . . . . 461--492
Mohammad Motamed and
Fabio Nobile and
Raúl Tempone A stochastic collocation method for the
second order wave equation with a
discontinuous random speed . . . . . . . 493--536
Kent-Andre Mardal and
Joachim Schöberl and
Ragnar Winther A uniformly stable Fortin operator for
the Taylor--Hood element . . . . . . . . 537--551
Zhongci Shi and
Xuying Zhao Error reduction of the adaptive
conforming and nonconforming finite
element methods with red-green
refinement . . . . . . . . . . . . . . . 553--584
Toshio Fukushima Precise and fast computation of Jacobian
elliptic functions by conditional
duplication . . . . . . . . . . . . . . 585--605
August Johansson and
Mats G. Larson A high order discontinuous Galerkin
Nitsche method for elliptic problems
with fictitious boundary . . . . . . . . 607--628
Miroslav S. Prani\'c and
Lothar Reichel Recurrence relations for orthogonal
rational functions . . . . . . . . . . . 629--642
J. Ballani and
L. Banjai and
S. Sauter and
A. Veit Numerical solution of exterior Maxwell
problems by Galerkin BEM and
Runge--Kutta convolution quadrature . . 643--670
Huoyuan Duan and
Ping Lin and
Roger C. E. Tan Analysis of a continuous finite element
method for $ H(\mathrm {curl}, \mathrm
{div}) $-elliptic interface problem . . 671--707
Haiyong Wang and
Lun Zhang and
Daan Huybrechs Asymptotic expansions and fast
computation of oscillatory Hilbert
transforms . . . . . . . . . . . . . . . 709--743
Thorsten Hohage and
Frank Werner Iteratively regularized Newton-type
methods for general data misfit
functionals and applications to Poisson
data . . . . . . . . . . . . . . . . . . 745--779
Lucas Chesnel and
Patrick Ciarlet, Jr. $T$-coercivity and continuous Galerkin
methods: application to transmission
problems with sign changing coefficients 1--29
Roberto Ferretti On the relationship between
Semi--Lagrangian and Lagrange--Galerkin
schemes . . . . . . . . . . . . . . . . 31--56
A. Jooste and
K. Jordaan and
F. Toókos On the zeros of Meixner polynomials . . 57--71
Daniel Peterseim and
Carsten Carstensen Finite element network approximation of
conductivity in particle composites . . 73--97
Hongru Chen and
Shaochun Chen and
Zhonghua Qiao $ C^0 $-nonconforming tetrahedral and
cuboid elements for the
three-dimensional fourth order elliptic
problem . . . . . . . . . . . . . . . . 99--119
Francisco- Javier Sayas Energy estimates for Galerkin
semidiscretizations of time domain
boundary integral equations . . . . . . 121--149
Thomas Richter and
Andreas Springer and
Boris Vexler Efficient numerical realization of
discontinuous Galerkin methods for
temporal discretization of parabolic
problems . . . . . . . . . . . . . . . . 151--182
Wolfgang Krendl and
Valeria Simoncini and
Walter Zulehner Stability estimates and structural
spectral properties of saddle point
problems . . . . . . . . . . . . . . . . 183--213
Zhong-Zhi Bai and
Xin-Guo Liu On the Meany inequality with
applications to convergence analysis of
several row-action iteration methods . . 215--236
Jesse L. Barlow Reorthogonalization for the
Golub--Kahan--Lanczos bidiagonal
reduction . . . . . . . . . . . . . . . 237--278
A. K. Baum and
V. Mehrmann Numerical integration of positive linear
differential-algebraic systems . . . . . 279--307
Carsten Carstensen and
Dietmar Gallistl and
Jun Hu A posteriori error estimates for
nonconforming finite element methods for
fourth-order problems on rectangles . . 309--335
J. Lang and
J. G. Verwer $W$-methods in optimal control . . . . . 337--360
Tomoaki Okayama and
Takayasu Matsuo and
Masaaki Sugihara Error estimates with explicit constants
for Sinc approximation, Sinc quadrature
and Sinc indefinite integration . . . . 361--394
Chunjae Park and
Dongwoo Sheen A quadrilateral Morley element for
biharmonic equations . . . . . . . . . . 395--413
Sören Bartels Finite element approximation of large
bending isometries . . . . . . . . . . . 415--440
Peter Benner and
Tobias Breiten Low rank methods for a class of
generalized Lyapunov equations and
related issues . . . . . . . . . . . . . 441--470
Tsogtgerel Gantumur Adaptive boundary element methods with
convergence rates . . . . . . . . . . . 471--516
Paola Console and
Ernst Hairer and
Christian Lubich Symmetric multistep methods for
constrained Hamiltonian systems . . . . 517--539
Christian Lubich and
Charalambos Makridakis Interior a posteriori error estimates
for time discrete approximations of
parabolic problems . . . . . . . . . . . 541--557
Nicolae C\^\indea and
Sorin Micu and
Jardel Morais Pereira Approximation of periodic solutions for
a dissipative hyperbolic equation . . . 559--601
Oscar P. Bruno and
Víctor Domínguez and
Francisco-Javier Sayas Convergence analysis of a high-order
Nyström integral-equation method for
surface scattering problems . . . . . . 603--645
Qinian Jin and
Min Zhong On the iteratively regularized
Gauss--Newton method in Banach spaces
with applications to parameter
identification problems . . . . . . . . 647--683
Lars Diening and
Christian Kreuzer and
Sebastian Schwarzacher Convex hull property and maximum
principle for finite element minimisers
of general convex functionals . . . . . 685--700
Philipp Öffner and
Thomas Sonar Spectral convergence for orthogonal
polynomials on triangles . . . . . . . . 701--721
Javier Segura Computing the complex zeros of special
functions . . . . . . . . . . . . . . . 723--752
Yang Yang and
Chi-Wang Shu Discontinuous Galerkin method for
hyperbolic equations involving $ \delta
$-singularities: negative-order norm
error estimates and applications . . . . 753--781
Joseph K. Scott and
Paul I. Barton Interval bounds on the solutions of
semi-explicit index-one DAEs. Part 1:
analysis . . . . . . . . . . . . . . . . 1--25
Joseph K. Scott and
Paul I. Barton Interval bounds on the solutions of
semi-explicit index-one DAEs. Part 2:
computation . . . . . . . . . . . . . . 27--60
Zhongxiao Jia and
Bingyu Li On the condition number of the total
least squares problem . . . . . . . . . 61--87
Claude Brezinski and
Michela Redivo-Zaglia Padé-type rational and barycentric
interpolation . . . . . . . . . . . . . 89--113
Gianluigi Rozza and
D. B. Phuong Huynh and
Andrea Manzoni Reduced basis approximation and a
posteriori error estimation for Stokes
flows in parametrized geometries: roles
of the inf-sup stability constants . . . 115--152
Qiya Hu and
Shi Shu and
Jun Zou A discrete weighted Helmholtz
decomposition and its application . . . 153--189
Xavier Antoine and
Christophe Besse and
Pauline Klein Absorbing boundary conditions for the
two-dimensional Schrödinger equation with
an exterior potential . . . . . . . . . 191--223
Andrea Bonito and
Irene Kyza and
Ricardo H. Nochetto Time-discrete higher order ALE
formulations: a priori error analysis 225--257
Sonja Cox and
Jan van Neerven Pathwise Hölder convergence of the
implicit-linear Euler scheme for
semi-linear SPDEs with multiplicative
noise . . . . . . . . . . . . . . . . . 259--345
Claude J. Gittelson and
Juho Könnö and
Christoph Schwab and
Rolf Stenberg The multi-level Monte Carlo finite
element method for a stochastic Brinkman
Problem . . . . . . . . . . . . . . . . 347--386
Clément Canc\`es and
Mathieu Cathala and
Christophe Le Potier Monotone corrections for generic
cell-centered finite volume
approximations of anisotropic diffusion
equations . . . . . . . . . . . . . . . 387--417
Wolfgang Hackbusch $ L^\infty $ estimation of tensor
truncations . . . . . . . . . . . . . . 419--440
Trygve K. Karper A convergent FEM--DG method for the
compressible Navier--Stokes equations 441--510
Tomoaki Okayama and
Ken'ichiro Tanaka and
Takayasu Matsuo and
Masaaki Sugihara DE-Sinc methods have almost the same
convergence property as SE--Sinc methods
even for a family of functions fitting
the SE--Sinc methods . . . . . . . . . . 511--543
Ken'ichiro Tanaka and
Tomoaki Okayama and
Takayasu Matsuo and
Masaaki Sugihara DE-Sinc methods have almost the same
convergence property as SE--Sinc methods
even for a family of functions fitting
the SE--Sinc methods . . . . . . . . . . 545--568
A. L. Teckentrup and
R. Scheichl and
M. B. Giles and
E. Ullmann Further analysis of multilevel Monte
Carlo methods for elliptic PDEs with
random coefficients . . . . . . . . . . 569--600
Scott Greenhalgh and
Vincent Acary and
Bernard Brogliato On preserving dissipativity properties
of linear complementarity dynamical
systems with the $ \theta $-method . . . 601--637
Zhiming Chen and
Tao Cui and
Linbo Zhang An adaptive anisotropic perfectly
matched layer method for $3$-D time
harmonic electromagnetic scattering
problems . . . . . . . . . . . . . . . . 639--677
Norbert Heuer and
Salim Meddahi Discontinuous Galerkin $ h p $-BEM with
quasi-uniform meshes . . . . . . . . . . 679--703
Giorgio Mantica Direct and inverse computation of Jacobi
matrices of infinite iterated function
systems . . . . . . . . . . . . . . . . 705--731
Tore Gunnar Halvorsen and
Torquil Macdonald Sòrensen Simplicial gauge theory on spacetime . . 733--760
Bedrich Sousedík Nested BDDC for a saddle-point problem 761--783
Jian-Qing Sun and
Xiang-Ke Chang and
Yi He and
Xing-Biao Hu An Extended Multistep Shanks
Transformation and Convergence
Acceleration Algorithm with Their
Convergence and Stability Analysis . . . 785--809
Olivier Bokanowski and
Yingda Cheng and
Chi-Wang Shu A discontinuous Galerkin scheme for
front propagation with obstacles . . . . 1--31
Carsten Carstensen and
Dietmar Gallistl Guaranteed lower eigenvalue bounds for
the biharmonic equation . . . . . . . . 33--51
Vasile Gradinaru and
George A. Hagedorn Convergence of a semiclassical
wavepacket based time-splitting for the
Schrödinger equation . . . . . . . . . . 53--73
Jian Li and
Zhangxin Chen Optimal $ L^2 $, $ H^1 $ and $ L^\infty
$ analysis of finite volume methods for
the stationary Navier--Stokes equations
with large data . . . . . . . . . . . . 75--101
Andreas Hiltebrand and
Siddhartha Mishra Entropy stable shock capturing
space--time discontinuous Galerkin
schemes for systems of conservation laws 103--151
Johnny Guzmán and
Michael Neilan Symmetric and conforming mixed finite
elements for plane elasticity using
rational bubble functions . . . . . . . 153--171
O. Steinbach Boundary element methods for variational
inequalities . . . . . . . . . . . . . . 173--197
Habib Ammari and
Josselin Garnier and
Hyeonbae Kang and
Mikyoung Lim and
Sanghyeon Yu Generalized polarization tensors for
shape description . . . . . . . . . . . 199--224
Dimitri Breda and
Erik Van Vleck Approximating Lyapunov exponents and
Sacker--Sell spectrum for retarded
functional differential equations . . . 225--257
Josef Dick and
Dirk Nuyens and
Friedrich Pillichshammer Lattice rules for nonperiodic smooth
integrands . . . . . . . . . . . . . . . 259--291
Arnold Reusken and
Patrick Esser Analysis of time discretization methods
for Stokes equations with a nonsmooth
forcing term . . . . . . . . . . . . . . 293--319
Konstantin Lipnikov and
Danail Vassilev and
Ivan Yotov Discontinuous Galerkin and mimetic
finite difference methods for coupled
Stokes--Darcy flows on polygonal and
polyhedral grids . . . . . . . . . . . . 321--360
Randolph E. Bank and
Harry Yserentant On the $ H^1 $-stability of the $ L_2
$-projection onto finite element spaces 361--381
Dörte Beigel and
Mario S. Mommer and
Leonard Wirsching and
Hans Georg Bock Approximation of weak adjoints by
reverse automatic differentiation of BDF
methods . . . . . . . . . . . . . . . . 383--412
Christian Engström Spectral approximation of quadratic
operator polynomials arising in photonic
band structure calculations . . . . . . 413--440
Erwan Faou and
Katharina Schratz Asymptotic preserving schemes for the
Klein--Gordon equation in the
non-relativistic limit regime . . . . . 441--469
Claude Jeffrey Gittelson Adaptive wavelet methods for elliptic
partial differential equations with
random operators . . . . . . . . . . . . 471--513
Jean-Marie Mirebeau Efficient fast marching with Finsler
metrics . . . . . . . . . . . . . . . . 515--557
Jing Yuan and
Egil Bae and
Xue-Cheng Tai and
Yuri Boykov A spatially continuous max-flow and
min-cut framework for binary labeling
problems . . . . . . . . . . . . . . . . 559--587
A. Abdulle and
M. E. Huber Discontinuous Galerkin finite element
heterogeneous multiscale method for
advection-diffusion problems with
multiple scales . . . . . . . . . . . . 589--633
Gabriel N. Gatica and
Luis F. Gatica and
Antonio Márquez Analysis of a pseudostress-based mixed
finite element method for the Brinkman
model of porous media flow . . . . . . . 635--677
Takehiko Kinoshita and
Takuma Kimura and
Mitsuhiro T. Nakao On the a posteriori estimates for
inverse operators of linear parabolic
equations with applications to the
numerical enclosure of solutions for
nonlinear problems . . . . . . . . . . . 679--701
Qiang Zhang and
Chi-Wang Shu Error estimates for the third order
explicit Runge--Kutta discontinuous
Galerkin method for a linear hyperbolic
equation in one-dimension with
discontinuous initial data . . . . . . . 703--740
N. Spillane and
V. Dolean and
P. Hauret and
F. Nataf and
C. Pechstein and
R. Scheichl Abstract robust coarse spaces for
systems of PDEs via generalized
eigenproblems in the overlaps . . . . . 741--770
Fei Wang and
Weimin Han and
Xiaoliang Cheng Discontinuous Galerkin methods for
solving a quasistatic contact problem 771--800
Adrian Costea and
Heiko Gimperlein and
Ernst P. Stephan A Nash--Hörmander iteration and boundary
elements for the Molodensky problem . . 1--34
Shengguo Li and
Ming Gu and
Lizhi Cheng Fast structured LU factorization for
nonsymmetric matrices . . . . . . . . . 35--55
E. Fuselier and
T. Hangelbroek and
F. J. Narcowich and
J. D. Ward and
G. B. Wright Kernel based quadrature on spheres and
other homogeneous spaces . . . . . . . . 57--92
Vivette Girault and
Danail Vassilev and
Ivan Yotov Mortar multiscale finite element methods
for Stokes--Darcy flows . . . . . . . . 93--165
Deren Han and
Hongjin He and
Hai Yang and
Xiaoming Yuan A customized Douglas--Rachford splitting
algorithm for separable convex
minimization with linear constraints . . 167--200
S. Amat and
M. A. Hernández and
N. Romero On a family of high-order iterative
methods under gamma conditions with
applications in denoising . . . . . . . 201--221
Maria Charina and
Costanza Conti and
Lucia Romani Reproduction of exponential polynomials
by multivariate non-stationary
subdivision schemes with a general
dilation matrix . . . . . . . . . . . . 223--254
Julie Digne and
Jean-Michel Morel Numerical analysis of differential
operators on raw point clouds . . . . . 255--289
Youngjoon Hong and
Chang-Yeol Jung and
Roger Temam On the numerical approximations of stiff
convection-diffusion equations in a
circle . . . . . . . . . . . . . . . . . 291--313
Harald Hofstätter and
Othmar Koch and
Mechthild Thalhammer Convergence analysis of high-order
time-splitting pseudo-spectral methods
for rotational Gross--Pitaevskii
equations . . . . . . . . . . . . . . . 315--364
Mario Bukal and
Etienne Emmrich and
Ansgar Jüngel Entropy-stable and entropy-dissipative
approximations of a fourth-order quantum
diffusion equation . . . . . . . . . . . 365--396
Marcus R. Garvie and
Catalin Trenchea A three level finite element
approximation of a pattern formation
model in developmental biology . . . . . 397--422
Irina Georgieva and
Clemens Hofreither Interpolation of harmonic functions
based on Radon projections . . . . . . . 423--445
Simone Cifani and
Espen R. Jakobsen On numerical methods and error estimates
for degenerate fractional
convection-diffusion equations . . . . . 447--483
Qinian Jin and
Min Zhong Nonstationary iterated Tikhonov
regularization in Banach spaces with
uniformly convex penalty terms . . . . . 485--513
Changna Lu and
Weizhang Huang and
Jianxian Qiu Maximum principle in linear finite
element approximations of anisotropic
diffusion-convection-reaction problems 515--537
P. Novati Numerical approximation to the
fractional derivative operator . . . . . 539--566
G. Of and
O. Steinbach On the ellipticity of coupled finite
element and one-equation boundary
element methods for boundary value
problems . . . . . . . . . . . . . . . . 567--593
Alina Chertock and
Alexander Kurganov and
Yu Liu Central-upwind schemes for the system of
shallow water equations with horizontal
temperature gradients . . . . . . . . . 595--639
Youness Noumir and
François Dubois and
Olivier Lafitte Numerical Eulerian method for linearized
gas dynamics in the high frequency
regime . . . . . . . . . . . . . . . . . 641--683
Hakop Hakopian and
Kurt Jetter and
Georg Zimmermann The Gasca--Maeztu conjecture for $ n = 5
$ . . . . . . . . . . . . . . . . . . . 685--713
K. Kumar and
I. S. Pop and
F. A. Radu Convergence analysis for a conformal
discretization of a model for
precipitation and dissolution in porous
media . . . . . . . . . . . . . . . . . 715--749
Carlo Garoni and
Carla Manni and
Francesca Pelosi and
Stefano Serra-Capizzano and
Hendrik Speleers On the spectrum of stiffness matrices
arising from isogeometric analysis . . . 751--799
Qinghui Zhang and
Uday Banerjee and
Ivo Babuska Higher order stable generalized finite
element method . . . . . . . . . . . . . 1--29
André Fiebach and
Annegret Glitzky and
Alexander Linke Uniform global bounds for solutions of
an implicit Voronoi finite volume method
for reaction--diffusion problems . . . . 31--72
André Massing and
Mats G. Larson and
Anders Logg and
Marie E. Rognes A stabilized Nitsche overlapping mesh
method for the Stokes problem . . . . . 73--101
Andreas Neuenkirch and
Lukasz Szpruch First order strong approximations of
scalar SDEs defined in a domain . . . . 103--136
Markus Bachmayr and
Huajie Chen and
Reinhold Schneider Error estimates for Hermite and
even-tempered Gaussian approximations in
quantum chemistry . . . . . . . . . . . 137--165
Philippe Chartier and
Joseba Makazaga and
Ander Murua and
Gilles Vilmart Multi-revolution composition methods for
highly oscillatory differential
equations . . . . . . . . . . . . . . . 167--192
Susanne C. Brenner and
Hengguang Li and
Li-Yeng Sung Multigrid methods for saddle point
problems: Stokes and Lamé systems . . . . 193--216
Christian Bourdarias and
Mehmet Ersoy and
Stéphane Gerbi Unsteady mixed flows in non uniform
closed water pipes: a Full Kinetic
Approach . . . . . . . . . . . . . . . . 217--263
Walter F. Mascarenhas The stability of barycentric
interpolation at the Chebyshev points of
the second kind . . . . . . . . . . . . 265--300
Romain Nguyen van yen and
Dmitry Kolomenskiy and
Kai Schneider Approximation of the Laplace and Stokes
operators with Dirichlet boundary
conditions through volume penalization:
a spectral viewpoint . . . . . . . . . . 301--338
Olof Runborg Analysis of high order fast interface
tracking methods . . . . . . . . . . . . 339--375
Zhen Guan and
Cheng Wang and
Steven M. Wise A convergent convex splitting scheme for
the periodic nonlocal Cahn--Hilliard
equation . . . . . . . . . . . . . . . . 377--406
François Alouges and
Evaggelos Kritsikis and
Jutta Steiner and
Jean-Christophe Toussaint A convergent and precise finite element
scheme for Landau--Lifschitz--Gilbert
equation . . . . . . . . . . . . . . . . 407--430
Arthur Bousquet and
Gung-Min Gie and
Youngjoon Hong and
Jacques Laminie A higher order Finite Volume resolution
method for a system related to the
inviscid primitive equations in a
complex domain . . . . . . . . . . . . . 431--461
Felipe Vico and
Leslie Greengard and
Zydrunas Gimbutas Boundary integral equation analysis on
the sphere . . . . . . . . . . . . . . . 463--487
Jan Giesselmann and
Thomas Müller Geometric error of finite volume schemes
for conservation laws on evolving
surfaces . . . . . . . . . . . . . . . . 489--516
Laurence Cherfils and
Madalina Petcu A numerical analysis of the
Cahn--Hilliard equation with
non-permeable walls . . . . . . . . . . 517--549
Michael Pruitt Large time step maximum norm regularity
of $L$-stable difference methods for
parabolic equations . . . . . . . . . . 551--587
T. D. Pham and
T. Tran Strongly elliptic pseudodifferential
equations on the sphere with radial
basis functions . . . . . . . . . . . . 589--614
C. Carstensen and
J. Gedicke and
V. Mehrmann and
A. Miedlar An adaptive finite element method with
asymptotic saturation for eigenvalue
problems . . . . . . . . . . . . . . . . 615--634
Mohammad Alazah and
Simon N. Chandler-Wilde and
Scott La Porte Computing Fresnel integrals via modified
trapezium rules . . . . . . . . . . . . 635--661
Eric Canc\`es and
Virginie Ehrlacher and
Yvon Maday Non-consistent approximations of
self-adjoint eigenproblems: application
to the supercell method . . . . . . . . 663--706
Hengguang Li and
Jeffrey S. Ovall A posteriori error estimation of
hierarchical type for the Schrödinger
operator with inverse square potential 707--740
Jon Häggblad and
Olof Runborg Accuracy of staircase approximations in
finite-difference methods for wave
propagation . . . . . . . . . . . . . . 741--771
Li Yin and
Jiming Wu and
Yanzhong Yao A cell functional minimization scheme
for domain decomposition method on
non-orthogonal and non-matching meshes 773--804
Douglas N. Arnold and
Daniele Boffi and
Francesca Bonizzoni Finite element differential forms on
curvilinear cubic meshes and their
approximation properties . . . . . . . . 1--20
Dhia Mansour Gauss--Runge--Kutta time discretization
of wave equations on evolving surfaces 21--53
Theodoros Katsaounis and
Irene Kyza A posteriori error control and
adaptivity for Crank--Nicolson finite
element approximations for the linear
Schrödinger equation . . . . . . . . . . 55--90
Jonathan H. Manton A framework for generalising the Newton
method and other iterative methods from
Euclidean space to manifolds . . . . . . 91--125
Maarten V. de Hoop and
Lingyun Qiu and
Otmar Scherzer An analysis of a multi-level projected
steepest descent iteration for nonlinear
inverse problems in Banach spaces
subject to stability constraints . . . . 127--148
Martin Arnold and
Olivier Brüls and
Alberto Cardona Error analysis of generalized-$ \alpha $
Lie group time integration methods for
constrained mechanical systems . . . . . 149--179
Yuji Nakatsukasa and
Vanni Noferini and
Alex Townsend Computing the common zeros of two
bivariate functions via Bézout resultants 181--209
Philippe Chartier and
Nicolas Crouseilles and
Mohammed Lemou and
Florian Méhats Uniformly accurate numerical schemes for
highly oscillatory Klein--Gordon and
nonlinear Schrödinger equations . . . . . 211--250
Jérôme Droniou and
Bishnu P. Lamichhane Gradient schemes for linear and
non-linear elasticity equations . . . . 251--277
Nicola Guglielmi and
Daniel Kressner and
Christian Lubich Low rank differential equations for
Hamiltonian matrix nearness problems . . 279--319
Hailiang Liu and
Nattapol Ploymaklam A local discontinuous Galerkin method
for the Burgers--Poisson equation . . . 321--351
Daniel B. Szyld and
Fei Xue Local convergence of Newton-like methods
for degenerate eigenvalues of nonlinear
eigenproblems. I. Classical algorithms 353--381
Daniel B. Szyld and
Fei Xue Local convergence of Newton-like methods
for degenerate eigenvalues of nonlinear
eigenproblems: II. Accelerated
algorithms . . . . . . . . . . . . . . . 383--403
Guillaume Costeseque and
Jean-Patrick Lebacque and
Régis Monneau A convergent scheme for Hamilton--Jacobi
equations on a junction: application to
traffic . . . . . . . . . . . . . . . . 405--447
Vjeran Hari Convergence to diagonal form of block
Jacobi-type methods . . . . . . . . . . 449--481
Charles M. Elliott and
Thomas Ranner Evolving surface finite element method
for the Cahn--Hilliard equation . . . . 483--534
Marlis Hochbruck and
Tobias Jahnke and
Roland Schnaubelt Convergence of an ADI splitting for
Maxwell's equations . . . . . . . . . . 535--561
Peter Strobach Constrained optimization of the
overdetermined Zimmermann compressor for
nonorthogonal joint matrix
diagonalization . . . . . . . . . . . . 563--586
Ibrahima Dione and
José M. Urquiza Penalty: finite element approximation of
Stokes equations with slip boundary
conditions . . . . . . . . . . . . . . . 587--610
Lehel Banjai and
Christian Lubich and
Francisco-Javier Sayas Stable numerical coupling of exterior
and interior problems for the wave
equation . . . . . . . . . . . . . . . . 611--646
S. N. Chandler-Wilde and
D. P. Hewett and
S. Langdon and
A. Twigger A high frequency boundary element method
for scattering by a class of nonconvex
obstacles . . . . . . . . . . . . . . . 647--689
Bilal Saad and
Mazen Saad A combined finite volume-nonconforming
finite element scheme for compressible
two phase flow in porous media . . . . . 691--722
G. Of and
T. X. Phan and
O. Steinbach An energy space finite element approach
for elliptic Dirichlet boundary control
problems . . . . . . . . . . . . . . . . 723--748
Claude Bardos and
Eitan Tadmor Stability and spectral convergence of
Fourier method for nonlinear problems:
on the shortcomings of the $ 2 / 3 $
de-aliasing method . . . . . . . . . . . 749--782
I. Tregubov and
T. Tran A Galerkin method with spherical splines
for the shallow water equations on a
sphere: error analysis . . . . . . . . . 783--814
M. Bebendorf and
C. Kuske and
R. Venn Wideband nested cross approximation for
Helmholtz problems . . . . . . . . . . . 1--34
Luisa Fermo and
Concetta Laurita A Nyström method for a boundary integral
equation related to the Dirichlet
problem on domains with corners . . . . 35--71
F. Demoures and
F. Gay-Balmaz and
S. Leyendecker and
S. Ober-Blöbaum and
T. S. Ratiu and
Y. Weinand Discrete variational Lie group
formulation of geometrically exact beam
dynamics . . . . . . . . . . . . . . . . 73--123
Ari Stern Banach space projections and
Petrov--Galerkin estimates . . . . . . . 125--133
Takemitsu Hasegawa and
Hiroshi Sugiura Error estimate for a corrected
Clenshaw--Curtis quadrature rule . . . . 135--149
Rolf Krause and
Andreas Veeser and
Mirjam Walloth An efficient and reliable residual-type
a posteriori error estimator for the
Signorini problem . . . . . . . . . . . 151--197
M. Feischl and
T. Führer and
M. Karkulik and
D. Praetorius Stability of symmetric and nonsymmetric
FEM--BEM couplings for nonlinear
elasticity problems . . . . . . . . . . 199--223
F. Guillén-González and
J. R. Rodríguez-Galván Analysis of the hydrostatic Stokes
problem and finite-element approximation
in unstructured meshes . . . . . . . . . 225--256
Robert C. Kirby and
Thinh Tri Kieu Symplectic-mixed finite element
approximation of linear acoustic wave
equations . . . . . . . . . . . . . . . 257--291
Bernardo Cockburn and
Kassem Mustapha A hybridizable discontinuous Galerkin
method for fractional diffusion problems 293--314
Wen Li and
Michael K. Ng Some bounds for the spectral radius of
nonnegative tensors . . . . . . . . . . 315--335
Axel Målqvist and
Daniel Peterseim Computation of eigenvalues by numerical
upscaling . . . . . . . . . . . . . . . 337--361
Zhimin Zhang and
Qingsong Zou Vertex-centered finite volume schemes of
any order over quadrilateral meshes for
elliptic boundary value problems . . . . 363--393
Paulo Rafael Bösing and
Carsten Carstensen Weakly over-penalized discontinuous
Galerkin schemes for Reissner--Mindlin
plates without the shear variable . . . 395--423
Sylvain Ervedoza and
Enrique Zuazua Transmutation techniques and
observability for time-discrete
approximation schemes of conservative
systems . . . . . . . . . . . . . . . . 425--466
Dietmar Gallistl An optimal adaptive FEM for eigenvalue
clusters . . . . . . . . . . . . . . . . 467--496
Kassem Mustapha Time-stepping discontinuous Galerkin
methods for fractional diffusion
problems . . . . . . . . . . . . . . . . 497--516
Stefan Takacs A robust all-at-once multigrid method
for the Stokes control problem . . . . . 517--540
Florentina Tone and
Xiaoming Wang and
Djoko Wirosoetisno Long-time dynamics of $2$ d
double-diffusive convection: analysis
and/of numerics . . . . . . . . . . . . 541--566
Bingsheng He and
Xiaoming Yuan On non-ergodic convergence rate of
Douglas--Rachford alternating direction
method of multipliers . . . . . . . . . 567--577
Claudio Bierig and
Alexey Chernov Convergence analysis of multilevel Monte
Carlo variance estimators and
application for random obstacle problems 579--613
Eduardo Casas and
Konstantinos Chrysafinos Error estimates for the discretization
of the velocity tracking problem . . . . 615--643
Zhongxiao Jia and
Wen-Wei Lin and
Ching-Sung Liu A positivity preserving inexact Noda
iteration for computing the smallest
eigenpair of a large irreducible
$M$-matrix . . . . . . . . . . . . . . . 645--679
James Hall and
Melvin Leok Spectral variational integrators . . . . 681--740
Kewei Liang and
Xiliang Lu and
Jerry Zhijian Yang Finite element approximation to the
extremal eigenvalue problem for
inhomogeneous materials . . . . . . . . 741--762
Giang T. Nguyen and
Federico Poloni Componentwise accurate fluid queue
computations using doubling algorithms 763--792
Emilia Bazhlekova and
Bangti Jin and
Raytcho Lazarov and
Zhi Zhou An analysis of the Rayleigh--Stokes
problem for a generalized second-grade
fluid . . . . . . . . . . . . . . . . . 1--31
Barbara Kaltenbacher An iteratively regularized
Gauss--Newton-Halley method for solving
nonlinear ill-posed problems . . . . . . 33--57
Corinna Klapproth The contact-stabilized Newmark method:
consistency error of a spatiotemporal
discretization . . . . . . . . . . . . . 59--82
Ren-Cang Li and
Lei-Hong Zhang Convergence of the block Lanczos method
for eigenvalue clusters . . . . . . . . 83--113
Elie Bretin and
Simon Masnou and
Édouard Oudet Phase-field approximations of the
Willmore functional and flow . . . . . . 115--171
Leszek Plaskota Automatic integration using
asymptotically optimal adaptive Simpson
quadrature . . . . . . . . . . . . . . . 173--198
Randolph E. Bank and
Harry Yserentant A note on interpolation, best
approximation, and the saturation
property . . . . . . . . . . . . . . . . 199--203
Kolja Brix and
Claudio Canuto and
Wolfgang Dahmen Nested dyadic grids associated with
Legendre--Gauss--Lobatto grids . . . . . 205--239
Hans Fritz Numerical Ricci--DeTurck flow . . . . . 241--271
Jun Hu and
Yunqing Huang and
Quan Shen Constructing both lower and upper bounds
for the eigenvalues of elliptic
operators by nonconforming finite
element methods . . . . . . . . . . . . 273--302
Clara Mertens and
Raf Vandebril Short recurrences for computing extended
Krylov bases for Hermitian and unitary
matrices . . . . . . . . . . . . . . . . 303--328
I. G. Graham and
F. Y. Kuo and
J. A. Nichols and
R. Scheichl and
Ch. Schwab Quasi-Monte Carlo finite element methods
for elliptic PDEs with lognormal random
coefficients . . . . . . . . . . . . . . 329--368
Giacomo Gigante and
Christian Vergara Analysis and optimization of the
generalized Schwarz method for elliptic
problems with application to
fluid-structure interaction . . . . . . 369--404
Kensuke Aishima Global convergence of the restarted
Lanczos and Jacobi--Davidson methods for
symmetric eigenvalue problems . . . . . 405--423
Christoph Erath A nonconforming a posteriori estimator
for the coupling of cell-centered finite
volume and boundary element methods . . 425--451
Mika Juntunen On the connection between the stabilized
Lagrange multiplier and Nitsche's
methods . . . . . . . . . . . . . . . . 453--471
J. H. Kim and
Do Y. Kwak New curl conforming finite elements on
parallelepiped . . . . . . . . . . . . . 473--488
Buyang Li Maximum-norm stability and maximal $ L^p
$ regularity of FEMs for parabolic
equations with Lipschitz continuous
coefficients . . . . . . . . . . . . . . 489--516
M. A. Louka and
N. M. Missirlis A comparison of the Extrapolated
Successive Overrelaxation and the
Preconditioned Simultaneous Displacement
methods for augmented linear systems . . 517--540
Alberto Gil C. P. Ramos and
Arieh Iserles Numerical solution of Sturm--Liouville
problems via Fer streamers . . . . . . . 541--565
M. J. Gander and
I. G. Graham and
E. A. Spence Applying GMRES to the Helmholtz equation
with shifted Laplacian preconditioning:
what is the largest shift for which
wavenumber-independent convergence is
guaranteed? . . . . . . . . . . . . . . 567--614
Markus Faustmann and
Jens Markus Melenk and
Dirk Praetorius $ \mathcal {H} $-matrix approximability
of the inverses of FEM matrices . . . . 615--642
Daniel Elfverson and
Victor Ginting and
Patrick Henning On multiscale methods in
Petrov--Galerkin formulation . . . . . . 643--682
Lise-Marie Imbert-Gérard Interpolation properties of generalized
plane waves . . . . . . . . . . . . . . 683--711
Georgios Akrivis and
Christian Lubich Fully implicit, linearly implicit and
implicit-explicit backward difference
formulae for quasi-linear parabolic
equations . . . . . . . . . . . . . . . 713--735
Maksymilian Dryja and
Juan Galvis and
Marcus Sarkis The analysis of a FETI--DP
preconditioner for a full DG
discretization of elliptic problems in
two dimensions . . . . . . . . . . . . . 737--770
V. Girault and
R. H. Nochetto and
L. R. Scott Max-norm estimates for Stokes and
Navier--Stokes approximations in convex
polyhedra . . . . . . . . . . . . . . . 771--822
Qingshan Chen On staggering techniques and the
non-staggered Z-grid scheme . . . . . . 1--21
Qingguo Hong and
Johannes Kraus and
Jinchao Xu and
Ludmil Zikatanov A robust multigrid method for
discontinuous Galerkin discretizations
of Stokes and linear elasticity
equations . . . . . . . . . . . . . . . 23--49
Yvan Notay A new algebraic multigrid approach for
Stokes problems . . . . . . . . . . . . 51--84
Ricardo H. Nochetto and
Enrique Otárola and
Abner J. Salgado Piecewise polynomial interpolation in
Muckenhoupt weighted Sobolev spaces and
applications . . . . . . . . . . . . . . 85--130
Carsten Carstensen and
Andreas Schröder and
Sebastian Wiedemann An optimal adaptive finite element
method for elastoplasticity . . . . . . 131--154
Hendrik Speleers and
Carla Manni Effortless quasi-interpolation in
hierarchical spaces . . . . . . . . . . 155--184
Jiguang Sun A mixed FEM for the quad-curl eigenvalue
problem . . . . . . . . . . . . . . . . 185--200
Mohsin Javed and
Lloyd N. Trefethen Euler--Maclaurin and Gregory
interpolants . . . . . . . . . . . . . . 201--216
Sebastien Blandin and
Paola Goatin Well-posedness of a conservation law
with non-local flux arising in traffic
flow modeling . . . . . . . . . . . . . 217--241
Oleg Davydov and
Robert Schaback Error bounds for kernel-based numerical
differentiation . . . . . . . . . . . . 243--269
Duy-Minh Dang and
Peter A. Forsyth and
Yuying Li Convergence of the embedded
mean-variance optimal points with
discrete sampling . . . . . . . . . . . 271--302
Wolfgang Hackbusch New estimates for the recursive low-rank
truncation of block-structured matrices 303--328
Jan Kristensen and
Filip Rindler Piecewise affine approximations for
functions of bounded variation . . . . . 329--346
Maksymilian Dryja and
Piotr Krzyzanowski A massively parallel nonoverlapping
additive Schwarz method for
discontinuous Galerkin discretization of
elliptic problems . . . . . . . . . . . 347--367
Andreas Dedner and
Pravin Madhavan Adaptive discontinuous Galerkin methods
on surfaces . . . . . . . . . . . . . . 369--398
Denise Aregba-Driollet and
Maya Briani and
Roberto Natalini Time asymptotic high order schemes for
dissipative BGK hyperbolic systems . . . 399--431
P. G. Ciarlet and
P. Ciarlet, Jr. and
S. A. Sauter and
C. Simian Intrinsic finite element methods for the
computation of fluxes for Poisson's
equation . . . . . . . . . . . . . . . . 433--462
James Brannick and
Andreas Frommer and
Karsten Kahl and
Björn Leder and
Matthias Rottmann and
Artur Strebel Multigrid preconditioning for the
overlap operator in lattice QCD . . . . 463--490
Jun Hu and
Rui Ma Superconvergence of both the
Crouzeix--Raviart and Morley elements 491--509
Art B. Owen A constraint on extensible quadrature
rules . . . . . . . . . . . . . . . . . 511--518
Carsten Carstensen and
Daniel Peterseim and
Andreas Schröder The norm of a discretized gradient in $
\varvec {H(\mathrm {div})^*} $ for a
posteriori finite element error analysis 519--539
Michael Feischl and
Gregor Gantner and
Alexander Haberl and
Dirk Praetorius and
Thomas Führer Adaptive boundary element methods for
optimal convergence of point errors . . 541--567
S. Sauter and
A. Veit Adaptive time discretization for
retarded potentials . . . . . . . . . . 569--595
Robert Schaback All well-posed problems have uniformly
stable and convergent discretizations 597--630
A. Bespalov and
S. Nicaise The BEM with graded meshes for the
electric field integral equation on
polyhedral surfaces . . . . . . . . . . 631--655
Luigi C. Berselli and
Dominic Breit and
Lars Diening Convergence analysis for a finite
element approximation of a steady model
for electrorheological fluids . . . . . 657--689
Juan Carlos De Los Reyes and
Vili Dhamo Error estimates for optimal control
problems of a class of quasilinear
equations arising in variable viscosity
fluid flow . . . . . . . . . . . . . . . 691--720
Jérôme Droniou and
Robert Eymard Uniform-in-time convergence of numerical
methods for non-linear degenerate
parabolic equations . . . . . . . . . . 721--766
Abdul-Lateef Haji-Ali and
Fabio Nobile and
Raúl Tempone Multi-index Monte Carlo: when sparsity
meets sampling . . . . . . . . . . . . . 767--806
Jean-Marie Mirebeau Adaptive, anisotropic and hierarchical
cones of discrete convex functions . . . 807--853
Silvia Bertoluzza Analysis of a mesh-dependent
stabilization for the three fields
domain decomposition method . . . . . . 1--36
C. Carstensen and
B. D. Reddy and
M. Schedensack A natural nonconforming FEM for the
Bingham flow problem is quasi-optimal 37--66
Peng Chen and
Alfio Quarteroni and
Gianluigi Rozza Multilevel and weighted reduced basis
method for stochastic optimal control
problems constrained by Stokes equations 67--102
Martin Halla and
Thorsten Hohage and
Lothar Nannen and
Joachim Schöberl Hardy space infinite elements for time
harmonic wave equations with phase and
group velocities of different signs . . 103--139
Iain Smears and
Endre Süli Discontinuous Galerkin finite element
methods for time-dependent
Hamilton--Jacobi-Bellman equations with
Cordes coefficients . . . . . . . . . . 141--176
Aleksandar V. Pejcev and
Miodrag M. Spalevi\'c The error bounds of Gauss--Radau
quadrature formulae with
Bernstein--Szeg\Ho weight functions . . 177--201
Erik Burman and
Peter Hansbo and
Mats G. Larson and
Sara Zahedi Cut finite element methods for coupled
bulk-surface problems . . . . . . . . . 203--231
Marko Huhtanen and
Olavi Nevanlinna Polynomials and lemniscates of
indefiniteness . . . . . . . . . . . . . 233--253
Colin J. Cotter and
Robert C. Kirby Mixed finite elements for global tide
models . . . . . . . . . . . . . . . . . 255--277
Sotirios E. Notaris On a corrected Fejér quadrature formula
of the second kind . . . . . . . . . . . 279--302
L. Beirão da Veiga and
F. Brezzi and
L. D. Marini and
A. Russo $ H({\rm div}) $ and $ H(\mathbf
{curl})$-conforming virtual element
methods . . . . . . . . . . . . . . . . 303--332
Sheng Zhang Analysis of a discontinuous Galerkin
method for the bending problem of Koiter
shell . . . . . . . . . . . . . . . . . 333--370
Shuo Zhang Stable finite element pair for Stokes
problem and discrete Stokes complex on
quadrilateral grids . . . . . . . . . . 371--408
Steffen Börm and
Sven Christophersen Approximation of integral operators by
Green quadrature and nested cross
approximation . . . . . . . . . . . . . 409--442
Hédy Attouch and
Luis M. Briceño-Arias and
Patrick L. Combettes A strongly convergent primal-dual method
for nonoverlapping domain decomposition 443--470
Stefano Giani and
Luka Grubisi\'c and
Agnieszka Miedlar and
Jeffrey S. Ovall Robust error estimates for
approximations of non-self-adjoint
eigenvalue problems . . . . . . . . . . 471--495
Michael Günther and
Adrian Sandu Multirate generalized additive
Runge--Kutta methods . . . . . . . . . . 497--524
Stefano Maset An abstract framework in the numerical
solution of boundary value problems for
neutral functional differential
equations . . . . . . . . . . . . . . . 525--555
Carsten Carstensen and
Asha K. Dond and
Neela Nataraj and
Amiya K. Pani Error analysis of nonconforming and
mixed FEMs for second-order linear
non-selfadjoint and indefinite elliptic
problems . . . . . . . . . . . . . . . . 557--597
Robert I. McLachlan and
Klas Modin and
Hans Munthe-Kaas and
Olivier Verdier $B$-series methods are exactly the
affine equivariant methods . . . . . . . 599--622
Stuart M. Harwood and
Kai Höffner and
Paul I. Barton Efficient solution of ordinary
differential equations with a parametric
lexicographic linear program embedded 623--653
Qinian Jin and
Hongqi Yang Levenberg--Marquardt method in Banach
spaces with general convex
regularization terms . . . . . . . . . . 655--684
Wolfgang Erb and
Christian Kaethner and
Mandy Ahlborg and
Thorsten M. Buzug Bivariate Lagrange interpolation at the
node points of non-degenerate Lissajous
curves . . . . . . . . . . . . . . . . . 685--705
Alan Demlow and
Natalia Kopteva Maximum-norm a posteriori error
estimates for singularly perturbed
elliptic reaction-diffusion problems . . 707--742
M. Lopez-Fernandez and
S. Sauter Generalized convolution quadrature based
on Runge--Kutta methods . . . . . . . . 743--779
Verónica Anaya and
David Mora and
Ricardo Oyarzúa and
Ricardo Ruiz-Baier A priori and a posteriori error analysis
of a mixed scheme for the Brinkman
problem . . . . . . . . . . . . . . . . 781--817
Christian Schröder and
Leo Taslaman Backward error analysis of the
shift-and-invert Arnoldi algorithm . . . 819--843
C. Carstensen and
D. Gallistl and
J. Gedicke Justification of the saturation
assumption . . . . . . . . . . . . . . . 1--25
Alan Demlow Quasi-optimality of adaptive finite
element methods for controlling local
energy errors . . . . . . . . . . . . . 27--60
Zhongqiang Zhang and
Boris Rozovskii and
George Em Karniadakis Strong and weak convergence order of
finite element methods for stochastic
PDEs with spatial white noise . . . . . 61--89
A. Loneland and
L. Marcinkowski and
T. Rahman Additive average Schwarz method for a
Crouzeix--Raviart finite volume element
discretization of elliptic problems with
heterogeneous coefficients . . . . . . . 91--118
Ernst Hairer and
Christian Lubich Long-term analysis of the Störmer--Verlet
method for Hamiltonian systems with a
solution-dependent high frequency . . . 119--138
Zhiyong Si and
Jilu Wang and
Weiwei Sun Unconditional stability and error
estimates of modified characteristics
FEMs for the Navier--Stokes equations 139--161
Aicke Hinrichs and
Lev Markhasin and
Jens Oettershagen and
Tino Ullrich Optimal quasi-Monte Carlo rules on order
2 digital nets for the numerical
integration of multivariate periodic
functions . . . . . . . . . . . . . . . 163--196
Shaohong Du and
Shuyu Sun and
Xiaoping Xie Residual-based a posteriori error
estimation for multipoint flux mixed
finite element methods . . . . . . . . . 197--222
Xiao Shan Chen On estimating the separation of two
regular matrix pairs . . . . . . . . . . 223--247
Rajib Dutta and
Helge Holden and
Ujjwal Koley and
Nils Henrik Risebro Convergence of finite difference schemes
for the Benjamin--Ono equation . . . . . 249--274
Xingjie Helen Li and
Christoph Ortner and
Alexander V. Shapeev and
Brian Van Koten Analysis of blended atomistic/continuum
hybrid methods . . . . . . . . . . . . . 275--326
Stephen D. Shank and
Valeria Simoncini and
Daniel B. Szyld Efficient low-rank solution of
generalized Lyapunov equations . . . . . 327--342
F. Nobile and
L. Tamellini and
R. Tempone Convergence of quasi-optimal sparse-grid
approximation of Hilbert-space-valued
functions: application to random
elliptic PDEs . . . . . . . . . . . . . 343--388
Pedro Machado Manhães de Castro and
Quentin Mérigot and
Boris Thibert Far-field reflector problem and
intersection of paraboloids . . . . . . 389--411
Claudia Wulff and
Chris Evans Runge--Kutta time semidiscretizations of
semilinear PDEs with non-smooth data . . 413--440
Tilo Arens and
Thomas Rösch A collocation method for weakly singular
integral equations with super-algebraic
convergence rate . . . . . . . . . . . . 441--472
Froilán M. Dopico and
Kenet Pomés Structured eigenvalue condition numbers
for parameterized quasiseparable
matrices . . . . . . . . . . . . . . . . 473--512
Daniel Bennequin and
Martin J. Gander and
Loic Gouarin and
Laurence Halpern Optimized Schwarz waveform relaxation
for advection reaction diffusion
equations in two dimensions . . . . . . 513--567
Konstantin Brenner and
Mayya Groza and
Cindy Guichard and
Gilles Lebeau and
Roland Masson Gradient discretization of hybrid
dimensional Darcy flows in fractured
porous media . . . . . . . . . . . . . . 569--609
Jean-David Benamou and
Guillaume Carlier and
Quentin Mérigot and
Édouard Oudet Discretization of functionals involving
the Monge--Amp\`ere operator . . . . . . 611--636
Lars Grasedyck and
Lu Wang and
Jinchao Xu A nearly optimal multigrid method for
general unstructured grids . . . . . . . 637--666
Eduard Feireisl and
Trygve Karper and
Martin Michálek Convergence of a numerical method for
the compressible Navier--Stokes system
on general domains . . . . . . . . . . . 667--704
Takahito Kashiwabara and
Issei Oikawa and
Guanyu Zhou Penalty method with P1/P1 finite element
approximation for the Stokes equations
under the slip boundary condition . . . 705--740
Jichun Li and
Sidney Shields Superconvergence analysis of Yee scheme
for metamaterial Maxwell's equations on
non-uniform rectangular meshes . . . . . 741--781
John W. Barrett and
Harald Garcke and
Robert Nürnberg A stable numerical method for the
dynamics of fluidic membranes . . . . . 783--822
H. Harbrecht and
M. Peters and
M. Siebenmorgen Analysis of the domain mapping method
for elliptic diffusion problems on
random domains . . . . . . . . . . . . . 823--856
Wenbin Chen and
Max Gunzburger and
Dong Sun and
Xiaoming Wang An efficient and long-time accurate
third-order algorithm for the
Stokes--Darcy system . . . . . . . . . . 857--879
Michele Benzi and
Valeria Simoncini Approximation of functions of large
matrices with Kronecker structure . . . 1--26
Fatih Ecevit and
Hasan Çagan Özen Frequency-adapted Galerkin boundary
element methods for convex scattering
problems . . . . . . . . . . . . . . . . 27--71
Robert C. Kirby Fast inversion of the simplicial
Bernstein mass matrix . . . . . . . . . 73--95
Geir Bogfjellmo and
Charles Curry and
Dominique Manchon Hamiltonian $B$-series and a Lie algebra
of non-rooted trees . . . . . . . . . . 97--112
Walter F. Mascarenhas and
André Pierro de Camargo The effects of rounding errors in the
nodes on barycentric interpolation . . . 113--141
Timo Heister and
Maxim A. Olshanskii and
Leo G. Rebholz Unconditional long-time stability of a
velocity-vorticity method for the $2$D
Navier--Stokes equations . . . . . . . . 143--167
Fabio Roman and
Carla Manni and
Hendrik Speleers Spectral analysis of matrices in
Galerkin methods based on generalized
B-splines with high smoothness . . . . . 169--216
Lothar Banz and
Heiko Gimperlein and
Abderrahman Issaoui and
Ernst P. Stephan Stabilized mixed hp-BEM for frictional
contact problems in linear elasticity 217--263
Guanyu Zhou and
Norikazu Saito Finite volume methods for a
Keller--Segel system: discrete energy,
error estimates and numerical blow-up
analysis . . . . . . . . . . . . . . . . 265--311
Christoph Lehrenfeld and
Arnold Reusken Optimal preconditioners for
Nitsche--XFEM discretizations of
interface problems . . . . . . . . . . . 313--332
Shengfeng Zhu and
Luca Ded\`e and
Alfio Quarteroni Isogeometric analysis and proper
orthogonal decomposition for parabolic
problems . . . . . . . . . . . . . . . . 333--370
Kaibo Hu and
Yicong Ma and
Jinchao Xu Stable finite element methods preserving
$ \nabla \cdot \varvec {B} = 0 $ exactly
for MHD models . . . . . . . . . . . . . 371--396
Marta M. Betcke and
Heinrich Voss Restarting iterative projection methods
for Hermitian nonlinear eigenvalue
problems with minmax property . . . . . 397--430
Arash Massoudi and
Mark R. Opmeer and
Timo Reis The ADI method for bounded real and
positive real Lur'e equations . . . . . 431--458
P. Bringmann and
C. Carstensen An adaptive least-squares FEM for the
Stokes equations with optimal
convergence rates . . . . . . . . . . . 459--492
Florent Renac A robust high-order Lagrange-projection
like scheme with large time steps for
the isentropic Euler equations . . . . . 493--519
Gabriel R. Barrenechea and
Erik Burman and
Fotini Karakatsani Edge-based nonlinear diffusion for
finite element approximations of
convection-diffusion equations and its
relation to algebraic flux-correction
schemes . . . . . . . . . . . . . . . . 521--545
Marlis Hochbruck and
Tomislav Pazur Error analysis of implicit Euler methods
for quasilinear hyperbolic evolution
equations . . . . . . . . . . . . . . . 547--569
Marco Discacciati and
Ricardo Oyarzúa A conforming mixed finite element method
for the Navier--Stokes/Darcy coupled
problem . . . . . . . . . . . . . . . . 571--606
Chun-Hsiung Hsia and
Chang-Yeol Jung and
Thien Binh Nguyen and
Ming-Cheng Shiue On time periodic solutions, asymptotic
stability and bifurcations of
Navier--Stokes equations . . . . . . . . 607--638
M. Charina and
C. Conti and
N. Guglielmi and
V. Protasov Regularity of non-stationary
subdivision: a matrix approach . . . . . 639--678
Yuan Liu and
Wenbin Chen and
Cheng Wang and
Steven M. Wise Error analysis of a mixed finite element
method for a Cahn--Hilliard--Hele--Shaw
system . . . . . . . . . . . . . . . . . 679--709
Daniele Boffi and
Lucia Gastaldi A fictitious domain approach with
Lagrange multiplier for fluid-structure
interactions . . . . . . . . . . . . . . 711--732
Jungong Xue and
Ren-Cang Li Highly accurate doubling algorithms for
$M$-matrix algebraic Riccati equations 733--767
Fernando Casas and
Nicolas Crouseilles and
Erwan Faou and
Michel Mehrenberger High-order Hamiltonian splitting for the
Vlasov--Poisson equations . . . . . . . 769--801
Susanne C. Brenner and
Michael Neilan and
Armin Reiser and
Li-Yeng Sung A $ C^0 $ interior penalty method for a
von Kármán plate . . . . . . . . . . . . . 803--832
Weizhu Bao and
Xiaofei Zhao A uniformly accurate (UA) multiscale
time integrator Fourier pseudospectral
method for the Klein--Gordon--Schrödinger
equations in the nonrelativistic limit
regime . . . . . . . . . . . . . . . . . 833--873
Wolfgang Hackbusch and
André Uschmajew On the interconnection between the
higher-order singular values of real
tensors . . . . . . . . . . . . . . . . 875--894
Christoph Erath and
Günther Of and
Francisco-Javier Sayas A non-symmetric coupling of the finite
volume method and the boundary element
method . . . . . . . . . . . . . . . . . 895--922
Dmitriy Leykekhman and
Boris Vexler Discrete maximal parabolic regularity
for Galerkin finite element methods . . 923--952
G. R. Barrenechea and
L. Boulton and
N. Boussa\"\id Local two-sided bounds for eigenvalues
of self-adjoint operators . . . . . . . 953--986
Philipp Grohs and
Markus Sprecher and
Thomas Yu Scattered manifold-valued data
approximation . . . . . . . . . . . . . 987--1010
Norbert Heuer and
Michael Karkulik Discontinuous Petrov--Galerkin boundary
elements . . . . . . . . . . . . . . . . 1011--1043
J. Dölz and
H. Harbrecht and
Ch. Schwab Covariance regularity and $ \mathcal {H}
$-matrix approximation for rough random
fields . . . . . . . . . . . . . . . . . 1045--1071
Claudio Canuto and
Ricardo H. Nochetto and
Rob Stevenson and
Marco Verani Convergence and optimality of $ {\mathbf
{hp}}$-AFEM . . . . . . . . . . . . . . 1073--1119
Wei Gong and
Ningning Yan Adaptive finite element method for
elliptic optimal control problems:
convergence and optimality . . . . . . . 1121--1170
Paola Pozzi and
Björn Stinner Curve shortening flow coupled to lateral
diffusion . . . . . . . . . . . . . . . 1171--1205
Peter Oswald and
Weiqi Zhou Random reordering in SOR-type methods 1207--1220
Henrik Garde and
Stratos Staboulis Convergence and regularization for
monotonicity-based shape reconstruction
in electrical impedance tomography . . . 1221--1251
Tina Bosner and
Mladen Rogina Quadratic convergence of approximations
by CCC--Schoenberg operators . . . . . . 1253--1287
Hideki Murakawa A linear finite volume method for
nonlinear cross-diffusion systems . . . 1--26
Xiong Meng and
Jennifer K. Ryan Discontinuous Galerkin methods for
nonlinear scalar hyperbolic conservation
laws: divided difference estimates and
accuracy enhancement . . . . . . . . . . 27--73
S. H. Lui Legendre spectral collocation in space
and time for PDEs . . . . . . . . . . . 75--99
Fernando Henríquez and
Carlos Jerez-Hanckes and
Fernando Altermatt Boundary integral formulation and
semi-implicit scheme coupling for
modeling cells under electrical
stimulation . . . . . . . . . . . . . . 101--145
Michael Feischl and
Gregor Gantner and
Alexander Haberl and
Dirk Praetorius Optimal convergence for adaptive IGA
boundary element methods for
weakly-singular integral equations . . . 147--182
Lin Lin Randomized estimation of spectral
densities of large matrices made
accurate . . . . . . . . . . . . . . . . 183--213
Wen-ming He and
Zhimin Zhang and
Qingsong Zou Ultraconvergence of high order FEMs for
elliptic problems with variable
coefficients . . . . . . . . . . . . . . 215--248
Stefan Karpinski and
Iuliu Sorin Pop Analysis of an interior penalty
discontinuous Galerkin scheme for two
phase flow in porous media with dynamic
capillary effects . . . . . . . . . . . 249--286
André Pierro de Camargo and
Walter F. Mascarenhas The stability of extended
Floater--Hormann interpolants . . . . . 287--313
Rémi Carles and
Clément Gallo On Fourier time-splitting methods for
nonlinear Schrödinger equations in the
semi-classical limit II. Analytic
regularity . . . . . . . . . . . . . . . 315--342
A. Lanza and
S. Morigi and
I. Selesnick and
F. Sgallari Nonconvex nonsmooth optimization via
convex-nonconvex
majorization-minimization . . . . . . . 343--381
Huadong Gao and
Buyang Li and
Weiwei Sun Stability and convergence of fully
discrete Galerkin FEMs for the nonlinear
thermistor equations in a nonconvex
polygon . . . . . . . . . . . . . . . . 383--409
Tomas Sauer Prony's method in several variables . . 411--438
Christian Rieger and
Holger Wendland Sampling inequalities for sparse grids 439--466
Guillaume Drouet and
Patrick Hild An accurate local average contact method
for nonmatching meshes . . . . . . . . . 467--502
Rainer Kress On Trefftz' integral equation for the
Bernoulli free boundary value problem 503--522
Wen Huang and
P.-A. Absil and
K. A. Gallivan Intrinsic representation of tangent
vectors and vector transports on matrix
manifolds . . . . . . . . . . . . . . . 523--543
M. Fathi and
G. Stoltz Improving dynamical properties of
metropolized discretizations of
overdamped Langevin dynamics . . . . . . 545--602
A. Abdulle and
M. E. Huber Numerical homogenization method for
parabolic advection--diffusion
multiscale problems with large
compressible flows . . . . . . . . . . . 603--649
Soumaya Ben Chaabane and
Makram Hamouda and
Mahdi Tekitek New Finite Volume Method for rotating
channel flows involving boundary layers 651--678
David E. Horsley Bessel phase functions: calculation and
application . . . . . . . . . . . . . . 679--702
Yumiharu Nakano Convergence of meshfree collocation
methods for fully nonlinear parabolic
equations . . . . . . . . . . . . . . . 703--723
Lourenço Beirão da Veiga and
David Mora and
Gonzalo Rivera and
Rodolfo Rodríguez A virtual element method for the
acoustic vibration problem . . . . . . . 725--763
Martin Eigel and
Max Pfeffer and
Reinhold Schneider Adaptive stochastic Galerkin FEM with
hierarchical tensor representations . . 765--803
Huangxin Chen and
Shuyu Sun A residual-based a posteriori error
estimator for single-phase Darcy flow in
fractured porous media . . . . . . . . . 805--839
Stephan Scholz and
Harry Yserentant On the approximation of electronic
wavefunctions by anisotropic Gauss and
Gauss--Hermite functions . . . . . . . . 841--874
François Bouchut and
Xavier Lhébrard A multi well-balanced scheme for the
shallow water MHD system with topography 875--905
Philippe Chartier and
Mohammed Lemou and
Florian Méhats Highly-oscillatory evolution equations
with multiple frequencies: averaging and
numerics . . . . . . . . . . . . . . . . 907--939
Alan Demlow Convergence and quasi-optimality of
adaptive finite element methods for
harmonic forms . . . . . . . . . . . . . 941--971
Qinian Jin On a heuristic stopping rule for the
regularization of inverse problems by
the augmented Lagrangian method . . . . 973--992
Glenn Byrenheid and
Lutz Kämmerer and
Tino Ullrich and
Toni Volkmer Tight error bounds for rank-1 lattice
sampling in spaces of hybrid mixed
smoothness . . . . . . . . . . . . . . . 993--1034
S. C. Maree and
L. Ortiz-Gracia and
C. W. Oosterlee Pricing early-exercise and discrete
barrier options by Shannon wavelet
expansions . . . . . . . . . . . . . . . 1035--1070
Gabriel Oksa and
Yusaku Yamamoto and
Marián Vajtersic Asymptotic quadratic convergence of the
serial block-Jacobi EVD algorithm for
Hermitian matrices . . . . . . . . . . . 1071--1095
Carsten Carstensen and
Eun-Jae Park and
Philipp Bringmann Convergence of natural adaptive least
squares finite element methods . . . . . 1097--1115
Martina Hofmanová and
Katharina Schratz An exponential-type integrator for the
KdV equation . . . . . . . . . . . . . . 1117--1137
Steffen Börm and
Jens M. Melenk Approximation of the high-frequency
Helmholtz kernel by nested directional
interpolation: error analysis . . . . . 1--34
W. Steven Gray and
Luis A. Duffaut Espinosa and
Kurusch Ebrahimi-Fard Discrete-time approximations of Fliess
operators . . . . . . . . . . . . . . . 35--62
Ching-Sung Liu and
Chun-Hua Guo and
Wen-Wei Lin Newton--Noda iteration for finding the
Perron pair of a weakly irreducible
nonnegative tensor . . . . . . . . . . . 63--90
Balázs Kovács and
Christian Lubich Stable and convergent fully discrete
interior--exterior coupling of Maxwell's
equations . . . . . . . . . . . . . . . 91--117
Caroline Lasser and
David Sattlegger Discretising the Herman--Kluk propagator 119--157
Alejandro Allendes and
Enrique Otárola and
Richard Rankin and
Abner J. Salgado Adaptive finite element methods for an
optimal control problem involving Dirac
measures . . . . . . . . . . . . . . . . 159--197
Frédéric Magoul\`es and
Daniel B. Szyld and
Cédric Venet Asynchronous optimized Schwarz methods
with and without overlap . . . . . . . . 199--227
Wenbin Chen and
Daozhi Han and
Xiaoming Wang Uniquely solvable and energy stable
decoupled numerical schemes for the
Cahn--Hilliard--Stokes--Darcy system for
two-phase flows in karstic geometry . . 229--255
Josef Dick and
Takashi Goda and
Kosuke Suzuki and
Takehito Yoshiki Construction of interlaced polynomial
lattice rules for infinitely
differentiable functions . . . . . . . . 257--288
Randolph E. Bank and
Jeffrey S. Ovall Some remarks on interpolation and best
approximation . . . . . . . . . . . . . 289--302
Nina Ovcharova and
Lothar Banz Coupling regularization and adaptive
hp-BEM for the solution of a
delamination problem . . . . . . . . . . 303--337
D. Gallistl and
P. Huber and
D. Peterseim On the stability of the Rayleigh--Ritz
method for eigenvalues . . . . . . . . . 339--351
Arvind K. Saibaba and
Alen Alexanderian and
Ilse C. F. Ipsen Randomized matrix-free trace and
log-determinant estimators . . . . . . . 353--395
Kersten Schmidt and
Ralf Hiptmair Asymptotic expansion techniques for
singularly perturbed boundary integral
equations . . . . . . . . . . . . . . . 397--415
Yongyong Cai and
Heejun Choi and
Jie Shen Error estimates for time discretizations
of Cahn--Hilliard and Allen--Cahn
phase-field models for two-phase
incompressible flows . . . . . . . . . . 417--449
Hoang Tran and
Clayton G. Webster and
Guannan Zhang Analysis of quasi-optimal polynomial
approximations for parameterized PDEs
with deterministic and stochastic
coefficients . . . . . . . . . . . . . . 451--493
Amanda E. Diegel and
Cheng Wang and
Xiaoming Wang and
Steven M. Wise Convergence analysis and error estimates
for a second order accurate finite
element method for the
Cahn--Hilliard--Navier--Stokes system 495--534
Francis Filbet and
Maxime Herda A finite volume scheme for
boundary-driven convection--diffusion
equations with relative entropy
structure . . . . . . . . . . . . . . . 535--577
Kerstin Hesse and
Ian H. Sloan and
Robert S. Womersley Radial basis function approximation of
noisy scattered data on the sphere . . . 579--605
Natalia Kopteva Energy-norm a posteriori error estimates
for singularly perturbed
reaction-diffusion problems on
anisotropic meshes . . . . . . . . . . . 607--642
Balázs Kovács and
Buyang Li and
Christian Lubich and
Christian A. Power Guerra Convergence of finite elements on an
evolving surface driven by diffusion on
the surface . . . . . . . . . . . . . . 643--689
Hongliang Li and
Pingbing Ming and
Zhong-ci Shi Two robust nonconforming $ \hbox {H}^2
$-elements for linear strain gradient
elasticity . . . . . . . . . . . . . . . 691--711
Astrid S. Pechstein and
Joachim Schöberl The TDNNS method for Reissner--Mindlin
plates . . . . . . . . . . . . . . . . . 713--740
Gerd Wachsmuth Conforming approximation of convex
functions with the finite element method 741--772
Markus Bause and
Florin A. Radu and
Uwe Köcher Error analysis for discretizations of
parabolic problems using continuous
finite elements in time and mixed finite
elements in space . . . . . . . . . . . 773--818
Jeff Calder Numerical schemes and rates of
convergence for the Hamilton--Jacobi
equation continuum limit of nondominated
sorting . . . . . . . . . . . . . . . . 819--856
Andrea Cangiani and
Emmanuil H. Georgoulis and
Tristan Pryer and
Oliver J. Sutton A posteriori error estimates for the
virtual element method . . . . . . . . . 857--893
Claudio Estatico and
Serge Gratton and
Flavia Lenti and
David Titley-Peloquin A conjugate gradient like method for
$p$-norm minimization in functional
spaces . . . . . . . . . . . . . . . . . 895--922
X. Antoine and
E. Lorin An analysis of Schwarz waveform
relaxation domain decomposition methods
for the imaginary-time linear Schrödinger
and Gross--Pitaevskii equations . . . . 923--958
John W. Pearson and
Jacek Gondzio Fast interior point solution of
quadratic programming problems arising
from PDE-constrained optimization . . . 959--999
Mats Vermeeren Modified equations for variational
integrators . . . . . . . . . . . . . . 1001--1037
B. de la Calle Ysern and
M. M. Spalevi\'c Modified Stieltjes polynomials and
Gauss--Kronrod quadrature rules . . . . 1--35
Fernando Betancourt and
Raimund Bürger and
Christophe Chalons and
Stefan Diehl and
Sebastian Farås A random sampling method for a family of
Temple-class systems of conservation
laws . . . . . . . . . . . . . . . . . . 37--73
Brittany D. Froese Meshfree finite difference
approximations for functions of the
eigenvalues of the Hessian . . . . . . . 75--99
Bangti Jin and
Buyang Li and
Zhi Zhou Discrete maximal regularity of
time-stepping schemes for fractional
evolution equations . . . . . . . . . . 101--131
Vladimir Kazeev and
Christoph Schwab Quantized tensor-structured finite
elements for second-order elliptic PDEs
in two dimensions . . . . . . . . . . . 133--190
Axel Målqvist and
Anna Persson Multiscale techniques for parabolic
equations . . . . . . . . . . . . . . . 191--217
Gunther Leobacher and
Michaela Szölgyenyi Convergence of the Euler--Maruyama
method for multidimensional SDEs with
discontinuous drift and degenerate
diffusion coefficient . . . . . . . . . 219--239
Shuo Zhang Regular decomposition and a framework of
order reduced methods for fourth order
problems . . . . . . . . . . . . . . . . 241--271
I. Neitzel and
W. Wollner A priori $ L^2 $-discretization error
estimates for the state in elliptic
optimization problems with pointwise
inequality state constraints . . . . . . 273--299
Peter Benner and
Zvonimir Bujanovi\'c and
Patrick Kürschner and
Jens Saak RADI: a low-rank ADI-type algorithm for
large scale algebraic Riccati equations 301--330
John W. Pearson and
Jennifer Pestana and
David J. Silvester Refined saddle-point preconditioners for
discretized Stokes problems . . . . . . 331--363
Balázs Kovács and
Christian Lubich Stability and convergence of time
discretizations of quasi-linear
evolution equations of Kato type . . . . 365--388
Andrea Moiola and
Ilaria Perugia A space-time Trefftz discontinuous
Galerkin method for the acoustic wave
equation in first-order formulation . . 389--435
Susanne C. Brenner and
Duk-Soon Oh and
Li-Yeng Sung Multigrid methods for saddle point
problems: Darcy systems . . . . . . . . 437--471
Wenming He and
Zhimin Zhang and
Qingsong Zou Maximum-norms error estimates for
high-order finite volume schemes over
quadrilateral meshes . . . . . . . . . . 473--500
Anton Arnold and
Claudia Negulescu Stationary Schrödinger equation in the
semi-classical limit: numerical coupling
of oscillatory and evanescent regions 501--536
Chien-Hong Cho On the computation for blow-up solutions
of the nonlinear wave equation . . . . . 537--556
Marlis Hochbruck and
Tomislav Pazur and
Roland Schnaubelt Error analysis of implicit Runge--Kutta
methods for quasilinear hyperbolic
evolution equations . . . . . . . . . . 557--579
L. Beirão da Veiga and
A. Chernov and
L. Mascotto and
A. Russo Exponential convergence of the $ h p $
virtual element method in presence of
corner singularities . . . . . . . . . . 581--613
Bernhard Beckermann and
George Labahn and
Ana C. Matos On rational functions without Froissart
doublets . . . . . . . . . . . . . . . . 615--633
Raymond Chan and
Alessandro Lanza and
Serena Morigi and
Fiorella Sgallari Convex non-convex image segmentation . . 635--680
J. Papez and
Z. Strakos and
M. Vohralík Estimating and localizing the algebraic
and total numerical errors using flux
reconstructions . . . . . . . . . . . . 681--721
Michael Hinze and
Barbara Kaltenbacher and
Tran Nhan Tam Quyen Identifying conductivity in electrical
impedance tomography with total
variation regularization . . . . . . . . 723--765
Bärbel Holm and
Thomas P. Wihler Continuous and discontinuous Galerkin
time stepping methods for nonlinear
initial value problems with application
to finite time blow-up . . . . . . . . . 767--799
Anne-Sophie Bonnet-Ben Dhia and
Camille Carvalho and
Patrick Ciarlet, Jr. Mesh requirements for the finite element
approximation of problems with
sign-changing coefficients . . . . . . . 801--838
H. Egger and
T. Kugler Damped wave systems on networks:
exponential stability and uniform
approximations . . . . . . . . . . . . . 839--867
Sílvia Barbeiro and
Somayeh Gh. Bardeji and
José A. Ferreira and
Luís Pinto Non-Fickian convection-diffusion models
in porous media . . . . . . . . . . . . 869--904
Tomoya Kemmochi and
Norikazu Saito Discrete maximal regularity and the
finite element method for parabolic
equations . . . . . . . . . . . . . . . 905--937
Alina Chertock and
Michael Dudzinski and
Alexander Kurganov and
Mária Lukácová-Medvid'ová Well-balanced schemes for the shallow
water equations with Coriolis forces . . 939--973
Tobias Jahnke and
Marcel Mikl Adiabatic midpoint rule for the
dispersion-managed nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 975--1009
Nora Lüthen and
Mika Juntunen and
Rolf Stenberg An improved a priori error analysis of
Nitsche's method for Robin boundary
conditions . . . . . . . . . . . . . . . 1011--1026
Martin Cermák and
Frédéric Hecht and
Zuqi Tang and
Martin Vohralík Adaptive inexact iterative algorithms
based on polynomial-degree-robust a
posteriori estimates for the Stokes
problem . . . . . . . . . . . . . . . . 1027--1065
F. Ben Belgacem and
V. Girault and
F. Jelassi Analysis of Lavrentiev-finite element
methods for data completion problems . . 1--25
Constantin Christof and
Christian Meyer A note on a priori $ \mathbf {L^p}
$-error estimates for the obstacle
problem . . . . . . . . . . . . . . . . 27--45
Hengguang Li and
Serge Nicaise Regularity and a priori error analysis
on anisotropic meshes of a Dirichlet
problem in polyhedral domains . . . . . 47--92
Astrid S. Pechstein and
Joachim Schöberl An analysis of the TDNNS method using
natural norms . . . . . . . . . . . . . 93--120
Morgan Pierre Convergence of exponential attractors
for a time semi-discrete
reaction-diffusion equation . . . . . . 121--153
André Schlichting and
Christian Seis Analysis of the implicit upwind finite
volume scheme with rough coefficients 155--186
Chun-Hsiung Hsia and
Ming-Cheng Shiue On the long-time stability of a temporal
discretization scheme for the three
dimensional viscous primitive equations 187--245
Fabio Nobile and
Raúl Tempone and
Sören Wolfers Sparse approximation of multilinear
problems with applications to
kernel-based methods in UQ . . . . . . . 247--280
Christophe Besse and
Beno\^\it Mésognon-Gireau and
Pascal Noble Artificial boundary conditions for the
linearized Benjamin--Bona--Mahony
equation . . . . . . . . . . . . . . . . 281--314
Christine Bernardi and
Séréna Dib and
Vivette Girault and
Frédéric Hecht and
François Murat and
Toni Sayah Finite element methods for Darcy's
problem coupled with the heat equation 315--348
Ludwig Gauckler On a splitting method for the Zakharov
system . . . . . . . . . . . . . . . . . 349--379
Hanne Hardering $ L^2 $-discretization error bounds for
maps into Riemannian manifolds . . . . . 381--410
Snorre H. Christiansen and
Jun Hu and
Kaibo Hu Nodal finite element de Rham complexes 411--446
Hengguang Li and
Lin Mu and
Xiu Ye Interior energy error estimates for the
weak Galerkin finite element method . . 447--478
Jilu Wang Unconditional stability and convergence
of Crank--Nicolson Galerkin FEMs for a
nonlinear Schrödinger--Helmholtz system 479--503
Erik Burman and
Lauri Oksanen Data assimilation for the heat equation
using stabilized finite element methods 505--528
C. Carstensen and
P. Bringmann and
F. Hellwig and
P. Wriggers Nonlinear discontinuous Petrov--Galerkin
methods . . . . . . . . . . . . . . . . 529--561
Weimin Han and
Mircea Sofonea and
David Danan Numerical analysis of stationary
variational--hemivariational
inequalities . . . . . . . . . . . . . . 563--592
Franz Chouly and
Rabii Mlika and
Yves Renard An unbiased Nitsche's approximation of
the frictional contact between two
elastic structures . . . . . . . . . . . 593--631
Shinji Ito and
Yuji Nakatsukasa Stable polefinding and rational
least-squares fitting via eigenvalues 633--682
Benjamin Peherstorfer and
Max Gunzburger and
Karen Willcox Convergence analysis of multifidelity
Monte Carlo estimation . . . . . . . . . 683--707
Klaus Deckelnick and
Vanessa Styles Stability and error analysis for a
diffuse interface approach to an
advection--diffusion equation on a
moving surface . . . . . . . . . . . . . 709--741
Martin Campos Pinto and
José A. Carrillo and
Frédérique Charles and
Young-Pil Choi Convergence of a linearly transformed
particle method for aggregation
equations . . . . . . . . . . . . . . . 743--793
Pengtao Sun and
Xuehai Huang Quasi-optimal convergence rate for an
adaptive hybridizable $ C^0 $
discontinuous Galerkin method for
Kirchhoff plates . . . . . . . . . . . . 795--829
Charalambos G. Makridakis On the Babuska--Osborn approach to
finite element analysis: $ L^2 $
estimates for unstructured meshes . . . 831--844
Sara Pollock and
Yunrong Zhu Uniqueness of discrete solutions of
nonmonotone PDEs without a globally fine
mesh condition . . . . . . . . . . . . . 845--865
Heiko Gimperlein and
Fabian Meyer and
Ceyhun Özdemir and
David Stark and
Ernst P. Stephan Boundary elements with mesh refinements
for the wave equation . . . . . . . . . 867--912
Lorenz John and
Piotr Swierczynski and
Barbara Wohlmuth Energy corrected FEM for optimal
Dirichlet boundary control problems . . 913--938
John D. Towers Convergence via OSLC of the Godunov
scheme for a scalar conservation law
with time and space flux discontinuities 939--969
Carsten Carstensen and
Sophie Puttkammer A low-order discontinuous
Petrov--Galerkin method for the Stokes
equations . . . . . . . . . . . . . . . 1--34
Samuel Amstutz and
Charles Dapogny and
\`Alex Ferrer A consistent relaxation of optimal
design problems for coupling shape and
topological derivatives . . . . . . . . 35--94
Nuutti Hyvönen and
Lauri Mustonen Generalized linearization techniques in
electrical impedance tomography . . . . 95--120
Balázs Kovács and
Christian Lubich Linearly implicit full discretization of
surface evolution . . . . . . . . . . . 121--152
Ernst P. Stephan and
Matthias T. Teltscher Collocation with trigonometric
polynomials for integral equations to
the mixed boundary value problem . . . . 153--190
Nikolaos Rekatsinas and
Rob Stevenson An optimal adaptive wavelet method for
first order system least squares . . . . 191--237
Helmut Harbrecht and
Johannes Tausch A fast sparse grid based space-time
boundary element method for the
nonstationary heat equation . . . . . . 239--264
G. Allaire and
T. Yamada Optimization of dispersive coefficients
in the homogenization of the wave
equation in periodic structures . . . . 265--326
Snorre H. Christiansen and
Kaibo Hu Generalized finite element systems for
smooth differential forms and Stokes'
problem . . . . . . . . . . . . . . . . 327--371
Froilán M. Dopico and
Piers W. Lawrence and
Javier Pérez and
Paul Van Dooren Block Kronecker linearizations of matrix
polynomials and their backward errors 373--426
Herbert Egger and
Bogdan Radu Super-convergence and post-processing
for mixed finite element approximations
of the wave equation . . . . . . . . . . 427--447
Barbara Kaltenbacher and
Mario Luiz Previatti de Souza Convergence and adaptive discretization
of the IRGNM Tikhonov and the IRGNM
Ivanov method under a tangential cone
condition in Banach space . . . . . . . 449--478
Ivan G. Graham and
Frances Y. Kuo and
Dirk Nuyens and
Rob Scheichl and
Ian H. Sloan Circulant embedding with QMC: analysis
for elliptic PDE with lognormal
coefficients . . . . . . . . . . . . . . 479--511
Ilona Ambartsumyan and
Eldar Khattatov and
Ivan Yotov and
Paolo Zunino A Lagrange multiplier method for a
Stokes--Biot fluid-poroelastic structure
interaction model . . . . . . . . . . . 513--553
Oleg Davydov and
Robert Schaback Minimal numerical differentiation
formulas . . . . . . . . . . . . . . . . 555--592
Markus Faustmann and
Jens Markus Melenk Local convergence of the boundary
element method on polyhedral domains . . 593--637
Michael Feischl and
Frances Y. Kuo and
Ian H. Sloan Fast random field generation with
$H$-matrices . . . . . . . . . . . . . . 639--676
Silvia Bertoluzza and
Astrid Decoene and
Lo\"\ic Lacouture and
Sébastien Martin Local error analysis for the Stokes
equations with a punctual source term 677--701
Derek Olson and
Xingjie Li and
Christoph Ortner and
Brian Van Koten Force-based atomistic/continuum blending
for multilattices . . . . . . . . . . . 703--754
Iosif Pinelis An alternative to the Euler--Maclaurin
summation formula: approximating sums by
integrals only . . . . . . . . . . . . . 755--790
Stefania Bellavia and
Serge Gratton and
Elisa Riccietti A Levenberg--Marquardt method for large
nonlinear least-squares problems with
dynamic accuracy in functions and
gradients . . . . . . . . . . . . . . . 791--825
Zhi Zhao and
Zheng-Jian Bai and
Xiao-Qing Jin A Riemannian inexact Newton--CG method
for constructing a nonnegative matrix
with prescribed realizable spectrum . . 827--855
Damien Allonsius and
Franck Boyer and
Morgan Morancey Spectral analysis of discrete elliptic
operators and applications in control
theory . . . . . . . . . . . . . . . . . 857--911
Monika Eisenmann and
Eskil Hansen Convergence analysis of domain
decomposition based time integrators for
degenerate parabolic equations . . . . . 913--938
Emiliano Cirillo and
Kai Hormann An iterative approach to barycentric
rational Hermite interpolation . . . . . 939--962
Colin J. Cotter and
P. Jameson Graber and
Robert C. Kirby Mixed finite elements for global tide
models with nonlinear damping . . . . . 963--991
Shenglong Hu and
Guoyin Li Convergence rate analysis for the higher
order power method in best rank one
approximations of tensors . . . . . . . 993--1031
Eric Canc\`es and
Genevi\`eve Dusson and
Yvon Maday and
Benjamin Stamm and
Martin Vohralík Guaranteed and robust a posteriori
bounds for Laplace eigenvalues and
eigenvectors: a unified framework . . . 1033--1079
Bengt Fornberg and
Jonah A. Reeger An improved Gregory-like method for
$1$-D quadrature . . . . . . . . . . . . 1--19
Jérôme Droniou and
Julian Hennicker and
Roland Masson Numerical analysis of a two-phase flow
discrete fracture matrix model . . . . . 21--62
Lukas Herrmann and
Christoph Schwab QMC integration for
lognormal-parametric, elliptic PDEs:
local supports and product weights . . . 63--102
Erik Burman and
Peter Hansbo and
Mats G. Larson and
Sara Zahedi Stabilized CutFEM for the convection
problem on surfaces . . . . . . . . . . 103--139
Erik Burman and
Peter Hansbo and
Mats G. Larson and
Karl Larsson and
André Massing Finite element approximation of the
Laplace--Beltrami operator on a surface
with boundary . . . . . . . . . . . . . 141--172
Henrik Schumacher and
Max Wardetzky Variational convergence of discrete
minimal surfaces . . . . . . . . . . . . 173--213
Benjamin Sprung and
Thorsten Hohage Higher order convergence rates for
Bregman iterated variational
regularization of inverse problems . . . 215--252
Ricardo H. Nochetto and
Wujun Zhang Pointwise rates of convergence for the
Oliker--Prussner method for the
Monge--Amp\`ere equation . . . . . . . . 253--288
L. Banjai and
M. López-Fernández Efficient high order algorithms for
fractional integrals and fractional
differential equations . . . . . . . . . 289--317
Dario A. Bini and
Beatrice Meini On the exponential of semi-infinite
quasi-Toeplitz matrices . . . . . . . . 319--351
Hanz Martin Cheng and
Jérôme Droniou and
Kim-Ngan Le Convergence analysis of a family of
ELLAM schemes for a fully coupled model
of miscible displacement in porous media 353--397
Takashi Goda and
Kosuke Suzuki and
Takehito Yoshiki Lattice rules in non-periodic subspaces
of Sobolev spaces . . . . . . . . . . . 399--427
Frédéric de Gournay and
Jonas Kahn and
Léo Lebrat Differentiation and regularity of
semi-discrete optimal transport with
respect to the parameters of the
discrete measure . . . . . . . . . . . . 429--453
Víctor Hernández-Santamaría and
Martin Lazar and
Enrique Zuazua Greedy optimal control for elliptic
problems and its application to turnpike
problems . . . . . . . . . . . . . . . . 455--493
Thierry Gallouët and
David Maltese and
Antonin Novotny Error estimates for the implicit MAC
scheme for the compressible
Navier--Stokes equations . . . . . . . . 495--567
Shihua Gong and
Shuonan Wu and
Jinchao Xu New hybridized mixed methods for linear
elasticity and optimal multilevel
solvers . . . . . . . . . . . . . . . . 569--604
J. Thomas Beale and
Wenjun Ying Solution of the Dirichlet problem by a
finite difference analog of the boundary
integral equation . . . . . . . . . . . 605--626
Laurent Gosse and
Nicolas Vauchelet Some examples of kinetic schemes whose
diffusion limit is Il'in's
exponential-fitting . . . . . . . . . . 627--680
Harald Hofstätter and
Othmar Koch Non-satisfiability of a positivity
condition for commutator-free
exponential integrators of order higher
than four . . . . . . . . . . . . . . . 681--691
Plamen Koev Accurate eigenvalues and exact zero
Jordan blocks of totally nonnegative
matrices . . . . . . . . . . . . . . . . 693--713
Carsten Carstensen and
Dongjie Liu and
Jochen Alberty Convergence of $ {\rm dG}(1) $ in
elastoplastic evolution . . . . . . . . 715--742
Anthony Nouy Higher-order principal component
analysis for the approximation of
tensors in tree-based low-rank formats 743--789
John W. Barrett and
Harald Garcke and
Robert Nürnberg Variational discretization of
axisymmetric curvature flows . . . . . . 791--837
Matania Ben-Artzi and
Guy Katriel Spline functions, the biharmonic
operator and approximate eigenvalues . . 839--879
M. Bessemoulin-Chatard and
C. Chainais-Hillairet Uniform-in-time bounds for approximate
solutions of the drift--diffusion system 881--916
Thomas Hagstrom and
Seungil Kim Complete radiation boundary conditions
for the Helmholtz equation I: waveguides 917--966
Thomas Führer and
Alexander Haberl and
Dirk Praetorius and
Stefan Schimanko Adaptive BEM with inexact PCG solver
yields almost optimal computational
costs . . . . . . . . . . . . . . . . . 967--1008
Wentao Cai and
Buyang Li and
Yanping Lin and
Weiwei Sun Analysis of fully discrete FEM for
miscible displacement in porous media
with Bear--Scheidegger diffusion tensor 1009--1042
Max Gunzburger and
Buyang Li and
Jilu Wang Convergence of finite element solutions
of stochastic partial
integro-differential equations driven by
white noise . . . . . . . . . . . . . . 1043--1077
David M. Williams An analysis of discontinuous Galerkin
methods for the compressible Euler
equations: entropy and $ L_2 $ stability 1079--1120
Todd Arbogast and
Zhen Tao Construction of $ H({\mathrm
{div}})$-conforming mixed finite
elements on cuboidal hexahedra . . . . . 1--32
Jean-David Benamou and
Guillaume Carlier and
Luca Nenna Generalized incompressible flows,
multi-marginal transport and Sinkhorn
algorithm . . . . . . . . . . . . . . . 33--54
Thierry Goudon and
Stella Krell and
Giulia Lissoni DDFV method for Navier--Stokes problem
with outflow boundary conditions . . . . 55--102
Erik Eikeland and
Leszek Marcinkowski and
Talal Rahman Overlapping Schwarz methods with
adaptive coarse spaces for multiscale
problems in $3$D . . . . . . . . . . . . 103--128
Sotirios E. Notaris Stieltjes polynomials and related
quadrature formulae for a class of
weight functions, II . . . . . . . . . . 129--147
Janosch Rieger Provably convergent implementations of
the subdivision algorithm for the
computation of invariant objects . . . . 149--165
Jean-Louis Merrien and
Tomas Sauer Generalized Taylor operators and
polynomial chains for Hermite
subdivision schemes . . . . . . . . . . 167--203
Carsten Carstensen and
Dietmar Gallistl and
Joscha Gedicke Residual-based a posteriori error
analysis for symmetric mixed
Arnold--Winther FEM . . . . . . . . . . 205--234
Andrea Bonito and
Wenyu Lei and
Joseph E. Pasciak Numerical approximation of the integral
fractional Laplacian . . . . . . . . . . 235--278
Steffen Dereich and
Thomas Müller-Gronbach General multilevel adaptations for
stochastic approximation algorithms of
Robbins--Monro and Polyak--Ruppert type 279--328
Jeffrey Galkowski and
Eike H. Müller and
Euan A. Spence Wavenumber-explicit analysis for the
Helmholtz $h$-BEM: error estimates and
iteration counts for the Dirichlet
problem . . . . . . . . . . . . . . . . 329--357
Abinand Gopal and
Lloyd N. Trefethen Representation of conformal maps by
rational functions . . . . . . . . . . . 359--382
Jens Künemund and
Francis J. Narcowich and
Joseph D. Ward and
Holger Wendland A high-order meshless Galerkin method
for semilinear parabolic equations on
spheres . . . . . . . . . . . . . . . . 383--419
Caroline Wormell Spectral Galerkin methods for transfer
operators in uniformly expanding
dynamics . . . . . . . . . . . . . . . . 421--463
Andreas Rademacher Mesh and model adaptivity for frictional
contact problems . . . . . . . . . . . . 465--523
Jessica Guerand and
Marwa Koumaiha Error estimates for a finite difference
scheme associated with Hamilton--Jacobi
equations on a junction . . . . . . . . 525--575
Harri Hakula and
Mikael Laaksonen Asymptotic convergence of spectral
inverse iterations for stochastic
eigenvalue problems . . . . . . . . . . 577--609
Antonin Chambolle and
Thomas Pock Total roto-translational variation . . . 611--666
Ben Adcock and
Anyi Bao and
Simone Brugiapaglia Correcting for unknown errors in sparse
high-dimensional function approximation 667--711
Philip Lukas Lederer and
Christian Merdon and
Joachim Schöberl Refined a posteriori error estimation
for classical and pressure-robust Stokes
finite element methods . . . . . . . . . 713--748
Felipe Lepe and
Salim Meddahi and
David Mora and
Rodolfo Rodríguez Mixed discontinuous Galerkin
approximation of the elasticity
eigenproblem . . . . . . . . . . . . . . 749--786
Michael Feischl and
Frances Y. Kuo and
Ian H. Sloan Correction to: Fast random field
generation with $H$-matrices . . . . . . 787--787
Christian Clason and
Vu Huu Nhu Bouligand--Landweber iteration for a
non-smooth ill-posed problem . . . . . . 789--832
D. C. Antonopoulos and
V. A. Dougalis and
D. E. Mitsotakis Error estimates for Galerkin finite
element methods for the Camassa--Holm
equation . . . . . . . . . . . . . . . . 833--862
A. D. Gilbert and
I. G. Graham and
F. Y. Kuo and
R. Scheichl and
I. H. Sloan Analysis of quasi-Monte Carlo methods
for elliptic eigenvalue problems with
stochastic coefficients . . . . . . . . 863--915
Weimin Han and
Mircea Sofonea Convergence analysis of penalty based
numerical methods for constrained
inequality problems . . . . . . . . . . 917--940
Yunho Kim A Newton's method characterization for
real eigenvalue problems . . . . . . . . 941--971
Tom Gustafsson and
Rolf Stenberg and
Juha Videman Error analysis of Nitsche's mortar
method . . . . . . . . . . . . . . . . . 973--994
Kailiang Wu and
Chi-Wang Shu Provably positive high-order schemes for
ideal magnetohydrodynamics: analysis on
general meshes . . . . . . . . . . . . . 995--1047
Lidia Aceto and
Paolo Novati Rational approximations to fractional
powers of self-adjoint positive
operators . . . . . . . . . . . . . . . 1--16
Matthew J. Colbrook and
Anders C. Hansen On the infinite-dimensional $ Q R $
algorithm . . . . . . . . . . . . . . . 17--83
H. Egger Structure preserving approximation of
dissipative evolution problems . . . . . 85--106
Francisco Guillén-González and
Juan Vicente Gutiérrez-Santacreu From a cell model with active motion to
a Hele--Shaw-like system: a numerical
approach . . . . . . . . . . . . . . . . 107--137
L. Beirão da Veiga and
G. Manzini and
L. Mascotto A posteriori error estimation and
adaptivity in $ h p $ virtual elements 139--175
Lehel Banjai and
Enrique Otárola A PDE approach to fractional diffusion:
a space-fractional wave equation . . . . 177--222
Tianyu Qiu and
Alexander Rieder and
Francisco-Javier Sayas and
Shougui Zhang Time-domain boundary integral equation
modeling of heat transmission problems 223--259
Grégoire Ferré and
Gabriel Stoltz Error estimates on ergodic properties of
discretized Feynman--Kac semigroups . . 261--313
Gabriel Monzón Anisotropic interpolation error estimate
for arbitrary quadrilateral
isoparametric elements . . . . . . . . . 315--338
Erika Hausenblas and
Tsiry A. Randrianasolo Time-discretization of stochastic $2$-D
Navier--Stokes equations with a
penalty-projection method . . . . . . . 339--378
Tony Leli\`evre and
Mathias Rousset and
Gabriel Stoltz Hybrid Monte Carlo methods for sampling
probability measures on submanifolds . . 379--421
Martin Storath and
Lukas Kiefer and
Andreas Weinmann Smoothing for signals with
discontinuities using higher order
Mumford--Shah models . . . . . . . . . . 423--460
Weizhu Bao and
Rémi Carles and
Chunmei Su and
Qinglin Tang Regularized numerical methods for the
logarithmic Schrödinger equation . . . . 461--487
Martin J. Gander and
Shu-Lin Wu Convergence analysis of a periodic-like
waveform relaxation method for
initial-value problems via the
diagonalization technique . . . . . . . 489--527
Róbert Horváth and
István Faragó and
János Karátson Qualitative properties of discrete
nonlinear parabolic operators . . . . . 529--554
Yueh-Cheng Kuo and
Wen-Wei Lin and
Shih-Feng Shieh A structure preserving flow for
computing Hamiltonian matrix exponential 555--582
Alexei Lozinski A primal discontinuous Galerkin method
with static condensation on very general
meshes . . . . . . . . . . . . . . . . . 583--604
Hessah Alqahtani and
Lothar Reichel Generalized block anti-Gauss quadrature
rules . . . . . . . . . . . . . . . . . 605--648
Amparo Gil and
Javier Segura and
Nico M. Temme Fast, reliable and unrestricted
iterative computation of Gauss--Hermite
and Gauss--Laguerre quadratures . . . . 649--682
Alexander Ostermann and
Chunmei Su Two exponential-type integrators for the
''good'' Boussinesq equation . . . . . . 683--712
Min Zhong and
Wei Wang and
Qinian Jin Regularization of inverse problems by
two-point gradient methods in Banach
spaces . . . . . . . . . . . . . . . . . 713--747
Eduardo Casas and
Konstantinos Chrysafinos Numerical analysis of quasilinear
parabolic equations under low regularity
assumptions . . . . . . . . . . . . . . 749--780
Juncai He and
Kaibo Hu and
Jinchao Xu Generalized Gaffney inequality and
discrete compactness for discrete
differential forms . . . . . . . . . . . 781--795
Balázs Kovács and
Buyang Li and
Christian Lubich A convergent evolving finite element
algorithm for mean curvature flow of
closed surfaces . . . . . . . . . . . . 797--853
Lars Grasedyck and
Sebastian Krämer Stable ALS approximation in the
TT-format for rank-adaptive tensor
completion . . . . . . . . . . . . . . . 855--904
Shmuel Friedland and
Lek-Heng Lim and
Jinjie Zhang Grothendieck constant is norm of
Strassen matrix multiplication tensor 905--922
Andrea Bressan and
Espen Sande Approximation in FEM, DG and IGA: a
theoretical comparison . . . . . . . . . 923--942
Ira Neitzel and
Konstantin Pieper and
Boris Vexler and
Daniel Walter A sparse control approach to optimal
sensor placement in PDE-constrained
parameter estimation problems . . . . . 943--984
Tony Leli\`evre and
Mathias Rousset and
Gabriel Stoltz Correction to: Hybrid Monte Carlo
methods for sampling probability
measures on submanifolds . . . . . . . . 447--449
Jörg Nick and
Balázs Kovács and
Christian Lubich Correction to: Stable and convergent
fully discrete interior--exterior
coupling of Maxwell's equations . . . . 997--1000
Peter Oswald and
Weiqi Zhou Correction: Random reordering in
SOR-type methods . . . . . . . . . . . . 521--525