Last update:
Mon Oct 6 06:13:46 MDT 2025
K. W. Morton and
M. J. D. Powell Editorial . . . . . . . . . . . . . . . 1--1
M. G. Cox The least squares solution of
overdetermined linear equations having
band or augmented band structure . . . . 3--22
G. Moore and
A. Spence The convergence of operator
approximations at turning points . . . . 23--38
J. M. Sanz-Serna Linearly implicit variable coefficient
methods of Lambert--Sigurdsson type . . 39--45
S. W. Schoombie and
J. F. Botha Error estimates for the solution of the
radial Schrödinger equation by the
Rayleigh--Ritz finite element method . . 47--63
J. de Pillis and
M. Neumann Iterative methods with $k$-part
splittings . . . . . . . . . . . . . . . 65--79
G. H. Behforooz and
N. Papamichael End conditions for interpolatory quintic
splines . . . . . . . . . . . . . . . . 81--93
R. E. Barnhill and
J. H. Brown and
A. R. Mitchell A comparison of finite element error
bounds for Poisson's equation . . . . . 95--103
J. L. Schonfelder and
M. Razaz Error control with polynomial
approximations . . . . . . . . . . . . . 105--114
Charles M. Elliott On the finite element approximation of
an elliptic variational inequality
arising from an implicit time
discretization of the Stefan problem . . 115--125
C. P. Huang On the convergence of the $ Q R $
algorithm with origin shifts for normal
matrices . . . . . . . . . . . . . . . . 127--133
B. N. Parlett and
J. K. Reid Tracking the progress of the Lanczos
algorithm for large symmetric
eigenproblems . . . . . . . . . . . . . 135--155
G. A. Watson An algorithm for linear $ L_1 $
approximation of continuous functions 157--167
M. Brannigan Theory and computation of best strict
constrained Chebyshev approximation of
discrete data . . . . . . . . . . . . . 169--184
S. W. Ellacott On the convergence of some approximate
methods of conformal mappings . . . . . 185--192
E. Babolian and
L. M. Delves A fast Galerkin scheme for linear
integro-differential equations . . . . . 193--213
Pên Yu Kuo and
J. M. Sanz-Serna Convergence of methods for the numerical
solution of the Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 215--221
D. M. Hough Exact formulae for certain integrals
arising in potential theory . . . . . . 223--228
B. Y. Ting and
Y. L. Luke Conversion of polynomials between
different polynomial bases . . . . . . . 229--234
D. Salane and
R. P. Tewarson On symmetric minimum norm updates . . . 235--240
A. Iserles and
M. J. D. Powell On the $A$-acceptability of rational
approximations that interpolate the
exponential function . . . . . . . . . . 241--251
I. Christie and
D. F. Griffiths and
A. R. Mitchell and
J. M. Sanz-Serna Product approximation for nonlinear
problems in the finite element method 253--266
P. Dierckx An algorithm for surface-fitting with
spline functions . . . . . . . . . . . . 267--283
D. M. Sloan Stability and accuracy of a class of
numerical boundary conditions for the
advection equation . . . . . . . . . . . 285--301
P. J. van der Houwen and
P. H. M. Wolkenfelt and
C. T. H. Baker Convergence and stability analysis for
modified Runge--Kutta methods in the
numerical treatment of second-kind
Volterra integral equations . . . . . . 303--328
O. Axelsson Stability and error estimates of
Galerkin finite element approximations
for convection-diffusion equations . . . 329--345
A. R. Gourlay and
J. Ll. Morris Linear combinations of generalized
Crank--Nicolson schemes . . . . . . . . 347--357
J. C. Mason Near-minimax interpolation by a
polynomial in $z$ and $ z^{-1}$ on a
circular annulus . . . . . . . . . . . . 359--367
A. R. Curtis On a property of some test equations for
finite difference or finite element
methods . . . . . . . . . . . . . . . . 369--375
L. Fox and
D. F. Mayers On the numerical solution of implicit
ordinary differential equations . . . . 377--401
M. J. D. Powell and
Ph. L. Toint The Shanno--Toint procedure for updating
sparse symmetric matrices . . . . . . . 403--413
D. B. Ingham and
P. J. Heggs and
M. Manzoor Boundary integral equation solution of
nonlinear plane potential problems . . . 415--426
G. Hall and
M. B. Suleiman Stability of Adams-type formulae for
second-order ordinary differential
equations . . . . . . . . . . . . . . . 427--438
J. W. Barrett and
K. W. Morton Optimal Petrov--Galerkin methods through
approximate symmetrization . . . . . . . 439--468
M. Berzins and
P. M. Dew A generalized Chebyshev method for
nonlinear parabolic equations in one
space variable . . . . . . . . . . . . . 469--487
B. M. Herbst and
J. F. Botha Computable error estimates for the
collocation method applied to two-point
boundary value problems . . . . . . . . 489--497
Baruch Cahlon and
Darrell Schmidt Piecewise polynomial approximate
solutions of an automatic control
problem . . . . . . . . . . . . . . . . 1--19
A. Makroglou Hybrid methods in the numerical solution
of Volterra integro-differential
equations . . . . . . . . . . . . . . . 21--35
A. Bujalska and
R. Smarzewski Quadratic $X$-splines . . . . . . . . . 37--47
Arieh Iserles Order stars and a saturation theorem for
first-order hyperbolics . . . . . . . . 49--61
J. Oliver The accurate evaluation of polynomial
approximations to library functions . . 63--72
M. G. Cox Direct versus iterative methods of
solution for multivariate spline-fitting
problems . . . . . . . . . . . . . . . . 73--81
E. Hairer A one-step method of order $ 10 $ for $
y^{\prime \prime } = f(x, \, y) $ . . . 83--94
S. W. Schoombie Spline Petrov--Galerkin methods for the
numerical solution of the Korteweg--de
Vries equation . . . . . . . . . . . . . 95--109
A. K. A. Khalifa and
J. C. Eilbeck Collocation with quadratic and cubic
splines . . . . . . . . . . . . . . . . 111--121
J. A. Gregory and
R. Delbourgo Piecewise rational quadratic
interpolation to monotonic data . . . . 123--130
P. H. M. Wolkenfelt The construction of reducible quadrature
rules for Volterra integral and
integro-differential equations . . . . . 131--152
Avram Sidi and
David Levin Rational approximations from the
$d$-transformation . . . . . . . . . . . 153--167
N. V. Challis and
D. M. Burley A numerical method for conformal mapping 169--181
P. J. van der Houwen and
B. P. Sommeijer A special class of multistep
Runge--Kutta methods with extended real
stability interval . . . . . . . . . . . 183--209
J. R. Cash and
A. Singhal Mono-implicit Runge--Kutta formulae for
the numerical integration of stiff
differential systems . . . . . . . . . . 211--227
R. W. Thatcher and
S. L. Askew A complementary solution to the dam
problem . . . . . . . . . . . . . . . . 229--239
M. L. Baart The use of auto-correlation for
pseudorank determination in noisy
ill-conditioned linear least-squares
problems . . . . . . . . . . . . . . . . 241--247
F. W. J. Olver Further developments of $ r p $ and $ a
p $ error analysis . . . . . . . . . . . 249--274
G. A. Watson Numerical methods for linear orthogonal
$ L_p $ approximation . . . . . . . . . 275--287
P. Oliver A family of linear multistep methods for
the solution of stiff and nonstiff ODEs 289--301
S. J. Hammarling Numerical solution of the stable,
nonnegative definite Lyapunov equation 303--323
A. Bermúdez de Castro López A mixed method for the elastoplastic
torsion problem . . . . . . . . . . . . 325--334
P. C. Meek and
J. Norbury Two-stage, two-level finite difference
schemes for nonlinear parabolic
equations . . . . . . . . . . . . . . . 335--356
R. J. Y. McLeod and
J. M. Sanz-Serna Geometrically derived difference
formulae for the numerical integration
of trajectory problems . . . . . . . . . 357--370
Jeremy E. Dawson A formula approximating the root of a
function . . . . . . . . . . . . . . . . 371--375
F. W. J. Olver and
J. H. Wilkinson A posteriori error bounds for Gaussian
elimination . . . . . . . . . . . . . . 377--406
Peter R. Turner The distribution of leading significant
digits . . . . . . . . . . . . . . . . . 407--412
A. Spence and
B. Werner Nonsimple turning points and cusps . . . 413--427
R. D. Riess and
L. W. Johnson and
J. Chen Maximum precision in Elliott-Donaldson
formulae . . . . . . . . . . . . . . . . 429--435
Herman J. J. te Riele Collocation methods for weakly singular
second-kind Volterra integral equations
with nonsmooth solution . . . . . . . . 437--449
Patrick J. Browne and
B. D. Sleeman A numerical technique for multiparameter
eigenvalue problems . . . . . . . . . . 451--457
A. Jennings Bounds for the singular values of a
matrix . . . . . . . . . . . . . . . . . 459--474
P. Arbenz Computable finite element error bounds
for Poisson's equation . . . . . . . . . 475--479
N. G. Brown and
R. Wait Verification and inversion of
isoparametric transformations . . . . . 481--492
Charles M. Elliott and
Vladimír Janovský An error estimate for a finite-element
approximation of an elliptic variational
inequality formulation of a Hele--Shaw
moving-boundary problem . . . . . . . . 1--9
Klaus Schittkowski The numerical solution of constrained
linear least-squares problems . . . . . 11--36
Iain S. Duff and
J. K. Reid A note on the work involved in no-fill
sparse matrix factorization . . . . . . 37--40
A. Behie and
P. Forsyth, Jr. Comparison of fast iterative methods for
symmetric systems . . . . . . . . . . . 41--63
Claude Brezinski Error control in convergence
acceleration processes . . . . . . . . . 65--80
H. O. Dahmardah and
D. F. Mayers A Fourier-series solution of the
Crank-Gupta equation . . . . . . . . . . 81--85
Chin Hsien Li A finite-element front-tracking enthalpy
method for Stefan problems . . . . . . . 87--107
T. J. Ypma The effect of rounding errors on
Newtonlike methods . . . . . . . . . . . 109--118
B. L. Raina and
N. Kaul A class of optimal quadrature formulae 119--125
G. J. Cooper and
J. C. Butcher An iteration scheme for implicit
Runge--Kutta methods . . . . . . . . . . 127--140
R. Delbourgo and
J. A. Gregory $ C^2 $ rational quadratic spline
interpolation to monotonic data . . . . 141--152
F. W. J. Olver Error bounds for arithmetic operations
on computers without guard digits . . . 153--160
Dietrich Braess On the numerical solution of the
one-dimensional Stefan problem by
Newton's method . . . . . . . . . . . . 161--172
G. Fairweather and
A. V. Saylor On the application of extrapolation,
deferred correction and defect
correction to discrete-time Galerkin
methods for parabolic problems . . . . . 173--192
J. A. Grant and
A. Ghiatis Determination of the zeros of a linear
combination of Chebyshev polynomials . . 193--206
S. W. Ellacott and
M. H. Gutknecht The polynomial Carathéodory--Fejér
approximation method for Jordan regions 207--220
S. W. Ellacott and
M. H. Gutknecht The Carathéodory--Fejér extension of a
finite geometric series . . . . . . . . 221--227
K. Zi\polhketak The properties of the minimax solution
of a nonlinear matrix equation $ X Y = A
$ . . . . . . . . . . . . . . . . . . . 229--244
Edward Neuman Properties of a class of polynomial
splines . . . . . . . . . . . . . . . . 245--252
I. S. Duff and
J. K. Reid Errata: ``A note on the work involved in
no-fill sparse matrix factorization'' 253--253
A. Spence and
K. S. Thomas On superconvergence properties of
Galerkin's method for compact operator
equations . . . . . . . . . . . . . . . 253--271
Ian T. Cameron Solution of differential-algebraic
systems using diagonally implicit
Runge--Kutta methods . . . . . . . . . . 273--289
M. M. Chawla A new fourth-order finite-difference
method for computing eigenvalues of
fourth-order two-point boundary value
problems . . . . . . . . . . . . . . . . 291--293
A. Griewank and
G. Reddien The calculation of Hopf points by a
direct method . . . . . . . . . . . . . 295--303
R. P. Srivastav Numerical solution of singular integral
equations using Gauss-type formulae. I.
Quadrature and collocation on Chebyshev
nodes . . . . . . . . . . . . . . . . . 305--318
R. P. Srivastav and
Erica Jen Numerical solution of singular integral
equations using Gauss-type formulae. II.
Lobatto-Chebyshev quadrature and
collocation on Chebyshev nodes . . . . . 319--325
T. J. Rivlin and
St. Ruscheweyh and
D. Shaffer and
K.-J. Wirths Optimal recovery of the derivative of
bounded analytic functions . . . . . . . 327--332
F. P. Sayer Some aspects of infinite systems of
linear simultaneous equations . . . . . 333--340
Luciano Lopez Stability and asymptotic behaviour for
the numerical solution of a
reaction-diffusion model for a
deterministic diffusive epidemic . . . . 341--351
R. Smarzewski and
A. Bujalska Uniform convergence of cubic and
quadratic $X$-spline interpolants . . . 353--372
A. A. Ball The improved bicubic patch---natural
surface counterpart of the parametric
cubic segment . . . . . . . . . . . . . 373--379
A. Makroglou Errata: ``Hybrid methods in the
numerical solution of Volterra
integro-differential equations'' [IMA J.
Numer. Anal. \bf 2 (1982), no. 1,
21--35; MR 83d:65352] . . . . . . . . . 381--382
L. F. Shampine Efficient extrapolation methods for ODEs 383--395
A. R. Curtis Jacobian matrix properties and their
impact on choice of software for stiff
ODE systems . . . . . . . . . . . . . . 397--415
P. J. van der Houwen and
B. P. Sommeijer Predictor-corrector methods with
improved absolute stability regions . . 417--437
Ch. Lubich On the stability of linear multistep
methods for Volterra convolution
equations . . . . . . . . . . . . . . . 439--465
S. McKee Discretization methods and block
isoclinal matrices . . . . . . . . . . . 467--491
J. C. Mason Near-best $ L_p $ approximations by real
and complex Chebyshev series . . . . . . 493--504
J. C. Mason and
B. L. Chalmers Near-best $ L_p $ approximations by
Fourier, Taylor and Laurent series . . . 1--8
Ian H. Sloan Four variants of the Galerkin method for
integral equations of the second kind 9--17
K. Atkinson and
F. de Hoog The numerical solution of Laplace's
equation on a wedge . . . . . . . . . . 19--41
J. M. Aitchison Numerical modelling of PIN diodes . . . 43--53
Ivar Gustafsson A preconditioned iterative method for
the solution of the biharmonic problem 55--67
E. A. Bogucz and
J. D. A. Walker Fourth-order finite-difference methods
for two-point boundary value problems 69--82
John R. Lund and
Bruce V. Riley A sinc-collocation method for the
computation of the eigenvalues of the
radial Schrödinger equation . . . . . . . 83--98
Jennifer Dixon and
Sean McKee Repeated integral inequalities . . . . . 99--107
C. Palencia and
J. M. Sanz-Serna Equivalence theorems for incomplete
spaces: an appraisal . . . . . . . . . . 109--115
R. K. Jain and
N. S. Kambo and
Rakesh Goel A sixth-order $P$-stable symmetric
multistep method for periodic initial
value problems of second-order
differential equations . . . . . . . . . 117--125
R. Glowinski and
L. D. Marini and
M. Vidrascu Finite-element approximations and
iterative solutions of a fourth-order
elliptic variational inequality . . . . 127--167
J. R. Dormand and
R. R. Duckers and
P. J. Prince Global error estimation with
Runge--Kutta methods . . . . . . . . . . 169--184
K. Wright Asymptotic properties of collocation
matrix norms. 1. Global polynomial
approximation . . . . . . . . . . . . . 185--202
M. J. Marsden Cubic $X$-spline interpolants . . . . . 203--207
P. R. Graves-Morris Vector-valued rational interpolants. II 209--224
Peter R. Turner Further revelations on l.s.d . . . . . . 225--231
Y. Yuan On the least $Q$-order of convergence of
variable metric algorithms . . . . . . . 233--239
M. J. D. Powell and
Y. Yuan Conditions for superlinear convergence
in $ l_1 $ and $ l_{\infty } $ solutions
of overdetermined nonlinear equations 241--251
A. Jepson and
A. Spence On implicit ordinary differential
equations . . . . . . . . . . . . . . . 253--274
G. A. Watson Discrete $ l_1 $ approximation by
rational functions . . . . . . . . . . . 275--288
A. Iserles and
R. A. Williamson Stability and accuracy of
semidiscretized finite difference
methods . . . . . . . . . . . . . . . . 289--307
John W. Barrett and
Charles M. Elliott A finite-element method for solving
elliptic equations with Neumann data on
a curved boundary using unfitted meshes 309--325
Y. Yuan An example of only linear convergence of
trust region algorithms for nonsmooth
optimization . . . . . . . . . . . . . . 327--335
I. P. Schagen Sequential exploration of unknown
multidimensional functions as an aid to
optimization . . . . . . . . . . . . . . 337--347
R. Saunders and
J. Caldwell and
P. Wanless A variational-iterative scheme applied
to Burgers' equation . . . . . . . . . . 349--362
C. Gerrard and
K. Wright Asymptotic properties of collocation
matrix norms. II. Piecewise polynomial
approximation . . . . . . . . . . . . . 363--373
W. L. Seward and
G. Fairweather and
R. L. Johnston A survey of higher-order methods for the
numerical integration of semidiscrete
parabolic problems . . . . . . . . . . . 375--425
G. J. Cooper A generalization of algebraic stability
for Runge--Kutta methods . . . . . . . . 427--440
R. Verfürth A combined conjugate gradient-multigrid
algorithm for the numerical solution of
the Stokes problem . . . . . . . . . . . 441--455
M. M. Chawla and
C. P. Katti A finite-difference method for a class
of singular two-point boundary value
problems . . . . . . . . . . . . . . . . 457--466
M. Almacany and
C. B. Dunham and
J. Williams Discrete Chebyshev approximation by
interpolating rationals . . . . . . . . 467--477
P. J. van der Houwen and
B. P. Sommeijer Linear multistep methods with reduced
truncation error for periodic initial
value problems . . . . . . . . . . . . . 479--489
D. C. Handscomb Spline representation of incompressible
flow . . . . . . . . . . . . . . . . . . 491--502
Anonymous 1985 L. Fox Prize: Call for Entries . . 1--1
C. M. Elliott On the convergence of a one-step method
for the numerical solution of an
ordinary differential inclusion . . . . 3--21
L. F. Shampine Efficient extrapolation methods for
ODEs. II . . . . . . . . . . . . . . . . 23--28
Mouhamed Nabih El Tarazi Iterative methods for systems of
first-order differential equations . . . 29--39
Jennifer Dixon and
Sean McKee A unified approach to convergence
analysis of discretization methods for
Volterra-type equations . . . . . . . . 41--57
J.-L. Gout Rational Wachspress-type finite elements
on regular hexagons . . . . . . . . . . 59--77
D. H. Ferriss and
D. W. Martin Numerical solution of discrete
Poisson-Neumann problems with compatible
or incompatible data, with reference to
flow in a circular cavity . . . . . . . 79--100
M. J. C. Gover and
S. Barnett Inversion of Toeplitz matrices which are
not strongly nonsingular . . . . . . . . 101--110
Krzysztof C. Kiwiel An exact penalty function algorithm for
nonsmooth convex constrained
minimization problems . . . . . . . . . 111--119
M. Al-Baali Descent property and global convergence
of the Fletcher--Reeves method with
inexact line search . . . . . . . . . . 121--124
J. A. Belward Further studies of the application of
constrained minimization methods to
Fredholm integral equations of the first
kind . . . . . . . . . . . . . . . . . . 125--139
Mathew Koshy and
R. P. Tewarson On the use of restricted pseudo-inverses
for the unified derivation of
quasi-Newton updates . . . . . . . . . . 141--151
Eberhard Schock Arbitrarily slow convergence, uniform
convergence and superconvergence of
Galerkin-like methods . . . . . . . . . 153--160
A. J. Wathen and
M. J. Baines On the structure of the moving
finite-element equations . . . . . . . . 161--182
François Dubeau and
Jean Savoie Periodic quartic splines with equispaced
knots . . . . . . . . . . . . . . . . . 183--189
I. Makrelov and
Kh. Semerdzhiev On the convergence of two methods for
the simultaneous finding of all roots of
exponential equations . . . . . . . . . 191--200
V. R. Voller Implicit finite-difference solutions of
the enthalpy formulation of Stefan
problems . . . . . . . . . . . . . . . . 201--214
M. M. Chawla and
P. S. Rao High-accuracy $P$-stable methods for $
y'' = f(t, y) $ . . . . . . . . . . . . 215--220
P. E. Manneback and
Ch. Murigande and
Ph. L. Toint A modification of an algorithm by Golub
and Plemmons for large linear least
squares in the context of Doppler
positioning . . . . . . . . . . . . . . 221--233
A. H. Ahmed and
K. Wright Further asymptotic properties of
collocation matrix norms . . . . . . . . 235--246
R. Fletcher Expected conditioning . . . . . . . . . 247--273
M. G. Cox and
P. E. Manneback Least-squares spline regression with
block-diagonal variance matrices . . . . 275--286
K. Burrage and
F. H. Chipman The stability properties of
singly-implicit general linear methods 287--295
Niels Houbak and
Syvert P. Nòrsett and
Per Grove Thomsen Displacement or residual test in the
application of implicit methods for
stiff problems . . . . . . . . . . . . . 297--305
Ben Yu Guo and
V. S. Manoranjan A spectral method for solving the RLW
equation . . . . . . . . . . . . . . . . 307--318
K. E. Atkinson The numerical evaluation of particular
solutions for Poisson's equation . . . . 319--338
R. F. Cameron and
S. McKee The analysis of product integration
methods for Abel's equation using
discrete fractional differentiation . . 339--353
Ivan G. Graham and
Stephen Joe and
Ian H. Sloan Iterated Galerkin versus iterated
collocation for integral equations of
the second kind . . . . . . . . . . . . 355--369
Yi Yong Nie and
Vidar Thomée A lumped mass finite-element method with
quadrature for a nonlinear parabolic
problem . . . . . . . . . . . . . . . . 371--396
R. Delbourgo and
J. A. Gregory The determination of derivative
parameters for a monotonic rational
quadratic interpolant . . . . . . . . . 397--406
Nick Levine Superconvergent recovery of the gradient
from piecewise linear finite element
approximations . . . . . . . . . . . . . 407--427
Timothy N. Phillips An embedding method for the
Cauchy--Riemann equations . . . . . . . 429--436
J. D. Pryce Multiplicative error analysis of matrix
transformation algorithms . . . . . . . 437--445
C. Verdi and
A. Visintin Numerical approximation of hysteresis
problems . . . . . . . . . . . . . . . . 447--463
C. L. Farmer A moving point method for arbitrary
Peclet number multidimensional
convection-diffusion equations . . . . . 465--480
J. R. Dormand and
P. J. Prince Global error estimation with
Runge--Kutta methods. II . . . . . . . . 481--497
Anonymous Referees 1984--85 . . . . . . . . . . . 499--500
Anonymous Index to Volume 5 . . . . . . . . . . . 501--502
M. N. El Tarazi Erratum: ``Iterative methods for systems
of first-order differential equations''
[IMA J. Numer. Anal. \bf 5 (1985), no.
1, 29--39; MR 86d:65087] . . . . . . . . 503--503
P. J. van der Houwen and
B. P. Sommeijer and
Christopher T. H. Baker On the stability of predictor-corrector
methods for parabolic equations with
delay . . . . . . . . . . . . . . . . . 1--23
J. M. Sanz-Serna and
J. G. Verwer Conservative and nonconservative schemes
for the solution of the nonlinear
Schrödinger equation . . . . . . . . . . 25--42
Hartmut Prautzsch The location of the control points in
the case of box splines . . . . . . . . 43--49
Corneliu Marinov Truncation errors for infinite linear
systems . . . . . . . . . . . . . . . . 51--63
J. Thomas King and
Diego A. Murio Numerical differentiation by
finite-dimensional regularization . . . 65--85
Ch. Lubich A stability analysis of convolution
quadratures for Abel--Volterra integral
equations . . . . . . . . . . . . . . . 87--101
J. D. Pryce Error control of phase-function shooting
methods for Sturm--Liouville problems 103--123
L. Brutman Generalized alternating polynomials,
some properties and numerical
applications . . . . . . . . . . . . . . 125--136
Krzysztof C. Kiwiel A method for solving certain quadratic
programming problems arising in
nonsmooth optimization . . . . . . . . . 137--152
I. H. Sloan and
A. Spence Projection methods for integral
equations on the half-line . . . . . . . 153--172
David Levin Multidimensional reconstruction by
set-valued approximations . . . . . . . 173--184
Patrick Le Tallec Numerical solution of viscoplastic flow
problems by augmented Lagrangians . . . 185--219
Hermann Brunner Polynomial spline collocation methods
for Volterra integrodifferential
equations with weakly singular kernels 221--239
Alan Feldstein and
Peter Turner Overflow, underflow, and severe loss of
significance in floating-point addition
and subtraction . . . . . . . . . . . . 241--251
M. M. Chawla and
P. S. Rao Corrigendum: ``High-accuracy $P$-stable
methods for $ y'' = f(t, y)$'' [IMA J.
Numer. Anal. 5 (1985), no. 2, 215--220;
MR 87c:65078]'' . . . . . . . . . . . . 252--252
John W. Barrett and
Charles M. Elliott Total flux estimates for a
finite-element approximation of
parabolic equations . . . . . . . . . . 253--264
Reinhard Lehmann Computable error bounds in the
finite-element method . . . . . . . . . 265--271
Timothy N. Phillips and
Thomas A. Zang and
M. Yousuff Hussaini Preconditioners for the spectral
multigrid method . . . . . . . . . . . . 273--292
A. Iserles Multistep discretization of linear
hyperbolic equations . . . . . . . . . . 293--307
Teresa Regi\'nska Superconvergence of external
approximation of eigenvalues of ordinary
differential operators . . . . . . . . . 309--323
G. J. Cooper On the existence of solutions for
algebraically stable Runge--Kutta
methods . . . . . . . . . . . . . . . . 325--330
G. Moore and
A. Spence and
B. Werner Operator approximation and
symmetry-breaking bifurcation . . . . . 331--336
Eleni G. Anastasselou A formal comparison of the Delves-Lyness
and Burniston-Siewert methods for
locating the zeros of analytic functions 337--341
Achiya Dax An efficient algorithm for solving the
rectilinear multifacility location
problem . . . . . . . . . . . . . . . . 343--355
Nicholas Ian Mark Gould On the accurate determination of search
directions for simple differentiable
penalty functions . . . . . . . . . . . 357--372
F. W. J. Olver Error bounds for polynomial evaluation
and complex arithmetic . . . . . . . . . 373--379
A. Iserles Generalized leapfrog methods . . . . . . 381--392
D. Braess and
P. Peisker On the numerical solution of the
biharmonic equation and the role of
squaring matrices for preconditioning 393--404
M. G. Hill and
D. Porter The numerical determination of
fundamental solutions of elliptic
equations . . . . . . . . . . . . . . . 405--420
Ch. Grossmann and
H.-G. Roos Feedback grid generation via monotone
discretization for two-point
boundary-value problems . . . . . . . . 421--432
J. C. Butcher Optimal order and stepsize sequences . . 433--438
Mouhamed Nabih El Tarazi On a monotony-preserving accelerator
process for the successive
approximations method . . . . . . . . . 439--446
D. A. H. Jacobs A generalization of the
conjugate-gradient method to solve
complex systems . . . . . . . . . . . . 447--452
A. R. Curtis Analysis of covariance after nonlinear
least-squares fitting . . . . . . . . . 453--461
Stephen J. Wright Convergence of projected Hessian
approximations in quasi-Newton methods
for the nonlinear programming problem 463--474
M. L. Baart and
R. J. Y. McLeod Quadratic transformations of triangular
finite elements in two dimensions . . . 475--487
N. Papamichael and
Maria Joana Soares A posteriori corrections for nonperiodic
cubic and quintic interpolating splines
at equally spaced knots . . . . . . . . 489--502
G. J. Cooper Stability of Runge--Kutta methods for
trajectory problems . . . . . . . . . . 1--13
M. Berzins and
P. M. Dew A note on $ C^0 $ Chebyshev methods for
parabolic P.D.E.s . . . . . . . . . . . 15--37
Bo\vsko S. Jovanovi\'c and
Lav D. Ivanovi\'c and
Endre E. Süli Convergence of a finite-difference
scheme for second-order hyperbolic
equations with variable coefficients . . 39--45
He Ping Ma and
Ben Yu Guo The Fourier pseudospectral method for
two-dimensional vorticity equations . . 47--60
C. M. Elliott Error analysis of the enthalpy method
for the Stefan problem . . . . . . . . . 61--71
R. H. J. Gmelig Meyling and
P. R. Pfluger B-spline approximation of a closed
surface . . . . . . . . . . . . . . . . 73--96
Ch. Lubich Fractional linear multistep methods for
Abel--Volterra integral equations of the
first kind . . . . . . . . . . . . . . . 97--106
Judith A. Palagallo and
Thomas E. Price, Jr. Near-best approximation by averaging
polynomial interpolants . . . . . . . . 107--122
F. N. Valvi and
V. S. Geroyannis Analytic inverses and determinants for a
class of matrices . . . . . . . . . . . 123--128
John W. Barrett and
Charles M. Elliott Total flux estimates for a
finite-element approximation of elliptic
equations . . . . . . . . . . . . . . . 129--148
S. Joe Discrete Galerkin methods for Fredholm
integral equations of the second kind 149--164
Christine Bernardi and
Edwige Godlewski and
Genevi\`eve Raugel A mixed method for the time-dependent
Navier--Stokes problem . . . . . . . . . 165--189
Pedro O. Cubillos Eigenvalue problems for Fredholm
integral operators . . . . . . . . . . . 191--204
James W. Eastwood and
Wayne Arter Spurious behaviour of numerically
computed fluid flow . . . . . . . . . . 205--222
K. Zi\polhketak Properties of the $ l_1$-solutions of
the linear matrix equation $ A X + Y B =
C$ . . . . . . . . . . . . . . . . . . . 223--233
J. R. Dormand and
M. E. A. El-Mikkawy and
P. J. Prince Families of Runge--Kutta--Nyström
formulae . . . . . . . . . . . . . . . . 235--250
Kevin Burrage $ (k, l)$-algebraic stability of Gauss
methods . . . . . . . . . . . . . . . . 251--259
D. Gaier and
N. Papamichael On the comparison of two numerical
methods for conformal mapping . . . . . 261--282
John W. Barrett and
Charles M. Elliott Fitted and unfitted finite-element
methods for elliptic equations with
smooth interfaces . . . . . . . . . . . 283--300
Bo\vsko S. Jovanovi\'c and
Lav D. Ivanovi\'c and
Endre E. Süli Convergence of finite-difference schemes
for elliptic equations with variable
coefficients . . . . . . . . . . . . . . 301--305
S. Haque Convergence of the successive
overrelaxation method . . . . . . . . . 307--311
Sunil Kumar Superconvergence of a collocation-type
method for Hammerstein equations . . . . 313--325
G. A. Chandler and
I. G. Graham Uniform convergence of Galerkin
solutions to noncompact integral
operator equations . . . . . . . . . . . 327--334
I. Navot An Euler--Maclaurin transformation of a
slowly convergent series with an
application to Fourier coefficient
evaluation . . . . . . . . . . . . . . . 335--353
W. Kratz and
E. Stickel Numerical solution of matrix polynomial
equations by Newton's method . . . . . . 355--369
R. Fletcher and
C. Xu Hybrid methods for nonlinear least
squares . . . . . . . . . . . . . . . . 371--389
Iain S. Duff and
Ulrich Nowak On sparse solvers in a stiff integrator
of extrapolation type . . . . . . . . . 391--405
P. J. van der Houwen and
B. P. Sommeijer Predictor-corrector methods for periodic
second-order initial-value problems . . 407--422
J. R. Dormand and
M. E. A. El-Mikkawy and
P. J. Prince High-order embedded Runge--Kutta--Nyström
formulae . . . . . . . . . . . . . . . . 423--430
P. M. Anselone and
R. Ansorge Discrete closure and asymptotic (quasi-)
regularity in discretization algorithms 431--448
A. J. Wathen Realistic eigenvalue bounds for the
Galerkin mass matrix . . . . . . . . . . 449--457
Paul A. Farrell Sufficient conditions for uniform
convergence of a class of difference
schemes for a singularly perturbed
problem . . . . . . . . . . . . . . . . 459--472
Z. Jackiewicz Stability analysis of modified multilag
methods for Volterra integral equations 473--484
Roger C. E. Tan Computing derivatives of eigensystems by
the vector $ \epsilon $-algorithm . . . 485--494
Paul Sablonni\`ere Error bounds for Hermite interpolation
by quadratic splines on an $ \alpha
$-triangulation . . . . . . . . . . . . 495--508
Yin Zhang and
R. P. Tewarson Least-change updates to Cholesky factors
subject to the nonlinear quasi-Newton
condition . . . . . . . . . . . . . . . 509--521
A. Pinkus and
H. Strauss Best approximation with coefficient
constraints . . . . . . . . . . . . . . 1--22
D. I. Clark and
M. R. Osborne On linear restricted and interval
least-squares problems . . . . . . . . . 23--36
L. F. Shampine Solving Volterra integral equations with
ODE codes . . . . . . . . . . . . . . . 37--41
Kevin Burrage Order properties of implicit multivalue
methods for ordinary differential
equations . . . . . . . . . . . . . . . 43--69
J. C. López Marcos and
J. M. Sanz-Serna Stability and convergence in numerical
analysis. III. Linear investigation of
nonlinear stability . . . . . . . . . . 71--84
Ph. Caussignac and
R. Touzani Linear conforming and nonconforming
upwind finite elements for the
convection-diffusion equation . . . . . 85--103
I. H. Sloan and
A. Spence The Galerkin method for integral
equations of the first kind with
logarithmic kernel: theory . . . . . . . 105--122
I. H. Sloan and
A. Spence The Galerkin method for integral
equations of the first kind with
logarithmic kernel: applications . . . . 123--140
Jonathan Barzilai and
Jonathan M. Borwein Two-point step size gradient methods . . 141--148
J. W. Barrett and
G. Moore and
K. W. Morton Optimal recovery in the finite-element
method. I. Recovery from weighted $ L^2
$ fits . . . . . . . . . . . . . . . . . 149--184
T. Lyche and
K. Mòrken A data-reduction strategy for splines
with applications to the approximation
of functions and data . . . . . . . . . 185--208
Annie Cuyt and
Brigitte Verdonk Evaluation of branched continued
fractions using block-tridiagonal linear
systems . . . . . . . . . . . . . . . . 209--217
David L. Motte The numerical computation of the minimal
projection . . . . . . . . . . . . . . . 219--230
Ph. L. Toint Global convergence of a class of
trust-region methods for nonconvex
minimization in Hilbert space . . . . . 231--252
M. C. Bartholomew-Biggs A globally convergent version of REQP
for constrained minimization . . . . . . 253--271
Randall J. LeVeque and
Lloyd N. Trefethen Fourier analysis of the SOR iteration 273--279
R. D. Small and
R. J. Charron Continuous and discrete nonlinear
approximations based on Fourier series 281--293
G. A. Watson The smallest perturbation of a submatrix
that lowers the rank of the matrix . . . 295--303
G. Hall and
Desmond Higham Analysis of stepsize selection schemes
for Runge--Kutta codes . . . . . . . . . 305--310
Z. Ditzian The modulus of smoothness and discrete
data in a square domain . . . . . . . . 311--319
John W. Barrett and
Charles M. Elliott Finite-element approximation of elliptic
equations with a Neumann or Robin
condition on a curved boundary . . . . . 321--342
P. Glaister A shock-reflection problem in
compressible-gas dynamics with a
similarity solution . . . . . . . . . . 343--356
Andrew Acker Convergence results for an analytical
trial free-boundary method . . . . . . . 357--364
M. D. Buhmann Convergence of univariate
quasi-interpolation using multiquadrics 365--383
Kevin Burrage $ (k, l)$-algebraic stability of
Runge--Kutta methods . . . . . . . . . . 385--400
R. M. Chamberlain and
M. J. D. Powell $ Q R $ factorization for linear
least-squares problems on a hypercube
multiprocessor . . . . . . . . . . . . . 401--413
Juan Enrique Santos and
Jim Douglas, Jr. and
Mary E. Morley and
Oscar M. Lovera Finite element methods for a model for
full waveform acoustic logging . . . . . 415--433
D. F. Griffiths and
A. R. Mitchell Stable periodic bifurcations of an
explicit discretization of a nonlinear
partial differential equation in
reaction diffusion . . . . . . . . . . . 435--454
Timothy N. Phillips On the Legendre coefficients of a
general-order derivative of an
infinitely differentiable function . . . 455--459
G. A. Watson A method for the Chebyshev solution of
an overdetermined system of complex
linear equations . . . . . . . . . . . . 461--471
Nicholas J. Higham Fast Solution of Vandermonde-like
Systems Involving Orthogonal Polynomials 473--486
Yin Zhang and
R. P. Tewarson Quasi-Newton algorithms with updates
from the preconvex part of Broyden's
family . . . . . . . . . . . . . . . . . 487--509
Jennifer Scott and
Sean McKee On the exact order of convergence of
discrete methods for Volterra-type
equations . . . . . . . . . . . . . . . 511--515
C. W. Clenshaw and
P. R. Turner The symmetric level-index system . . . . 517--526
J. W. Barrett and
G. Moore and
K. W. Morton Optimal recovery in the finite-element
method. II. Defect correction for
ordinary differential equations . . . . 527--540
Desmond J. Higham Analysis of the Enright--Kamel
partitioning method for stiff ordinary
differential equations . . . . . . . . . 1--14
Peter Kaps and
Alexander Ostermann Rosenbrock methods using few $ L U
$-decompositions . . . . . . . . . . . . 15--27
John Lund and
Kenneth L. Bowers and
Kelly M. McArthur Symmetrization of the sinc-Galerkin
method with block techniques for
elliptic equations . . . . . . . . . . . 29--46
H. Brunner and
J.-P. Kauthen The numerical solution of
two-dimensional Volterra integral
equations by collocation and iterated
collocation . . . . . . . . . . . . . . 47--59
H. H. Hopkins Numerical evaluation of a class of
double integrals of oscillatory
functions . . . . . . . . . . . . . . . 61--80
D. Leake and
H. Mukai Acceleration of one-step stationary
root-finding algorithms . . . . . . . . 81--93
Achiya Dax The minimax solution of linear equations
subject to linear constraints . . . . . 95--109
Roger C. E. Tan and
Alan L. Andrew Computing derivatives of eigenvalues and
eigenvectors by simultaneous iteration 111--122
R. Delbourgo Shape preserving interpolation to convex
data by rational functions with
quadratic numerator and linear
denominator . . . . . . . . . . . . . . 123--136
B. Codenotti and
F. Romani A note on quadrant interlocking
factorization . . . . . . . . . . . . . 139--143
John P. Coleman Numerical methods for $ y^{\prime \prime
} = f(x, y) $ via rational
approximations for the cosine . . . . . 145--165
J. I. Maeztu On symmetric cubature formulae for
planar regions . . . . . . . . . . . . . 167--183
Guido Walz Error bounds and stopping rules for
extrapolation methods . . . . . . . . . 185--198
Q. Sheng Solving linear partial differential
equations by exponential splitting . . . 199--212
P. C. Das and
A. K. Pani A priori error estimates in $ H^1 $ and
$ H^2 $ norms for Galerkin
approximations to a single-phase
nonlinear Stefan problem in one space
dimension . . . . . . . . . . . . . . . 213--229
A. Karageorghis and
G. Fairweather The method of fundamental solutions for
the solution of nonlinear plane
potential problems . . . . . . . . . . . 231--242
Eugene C. Gartland, Jr. Compact high-order finite differences
for interface problems in one dimension 243--260
Ivan G. Graham and
Wendy R. Mendes Nyström-product integration for
Wiener--Hopf equations with applications
to radiative transfer . . . . . . . . . 261--284
Maurice G. Cox and
Helen M. Jones An algorithm for least-squares circle
fitting to data with specified
uncertainty ellipses . . . . . . . . . . 285--298
Herbert Dauner and
Christian H. Reinsch An analysis of two algorithms for
shape-preserving cubic spline
interpolation . . . . . . . . . . . . . 299--314
J. D. Pryce On the convergence of iterated remeshing 315--335
Timothy N. Phillips Fourier series solutions to Poisson's
equation in rectangularly decomposable
regions . . . . . . . . . . . . . . . . 337--352
Uwe Streit An efficient enthalpy-type method for
the Stefan problem . . . . . . . . . . . 353--372
W. McLean Asymptotic error expansions for
numerical solutions of integral
equations . . . . . . . . . . . . . . . 373--384
K. E. Atkinson and
F. A. Potra On the discrete Galerkin method for
Fredholm integral equations of the
second kind . . . . . . . . . . . . . . 385--403
J. N. Lyness An introduction to lattice rules and
their generator matrices . . . . . . . . 405--419
P. Kunkel Efficient computation of singular points 421--433
Michael J. Todd On convergence properties of algorithms
for unconstrained minimization . . . . . 435--441
John P. Coleman Errata for: ``Numerical methods for $
y^{\prime \prime } = f(x, y) $ via
rational approximations for the cosine''
[IMA J. Numer. Anal. \bf 9 (1989), no.
2, 145--165; MR 90i:65130] . . . . . . . i--i
John W. Barrett and
Charles M. Elliott Finite-element approximation of a plasma
equilibrium problem . . . . . . . . . . 443--464
Andrew Stuart Linear instability implies spurious
periodic solutions . . . . . . . . . . . 465--486
J. D. P. Donnelly Stable boundary conditions for some
hyperbolic difference schemes . . . . . 487--505
Chuan Miao Chen and
Stig Larsson and
Nai Ying Zhang Error estimates of optimal order for
finite element methods with interpolated
coefficients for the nonlinear heat
equation . . . . . . . . . . . . . . . . 507--524
S. N. Chandler-Wilde and
M. J. C. Gover On the application of a generalization
of Toeplitz matrices to the numerical
solution of integral equations with
weakly singular convolution kernels . . 525--544
K. Zi\polhketak Properties of the approximations of a
matrix which lower its rank . . . . . . 545--554
R. W. Brankin and
I. Gladwell Shape-preserving local interpolation for
plotting solutions of ODEs . . . . . . . 555--566
I. R. H. Jackson An order of convergence for some radial
basis functions . . . . . . . . . . . . 567--587
A. Iserles Stability and dynamics of numerical
methods for nonlinear ordinary
differential equations . . . . . . . . . 1--30
M. Z. Liu and
M. N. Spijker The stability of the $ \theta $-methods
in the numerical solution of delay
differential equations . . . . . . . . . 31--48
J. Gilbert and
W. A. Light Envelope solutions for implicit ordinary
differential equations . . . . . . . . . 49--61
Daniele Funaro Convergence analysis for pseudospectral
multidomain approximations of linear
advection equations . . . . . . . . . . 63--74
Juan Soler Vortex filament method . . . . . . . . . 75--102
A. Bellen and
Z. Jackiewicz and
R. Vermiglio and
M. Zennaro Stability analysis of Runge--Kutta
methods for Volterra integral equations
of the second kind . . . . . . . . . . . 103--118
R. Coquereaux and
A. Grossmann and
B. E. Lautrup Iterative method for calculation of the
Weierstrass elliptic function . . . . . 119--128
H. Brass Optimal estimation rules for functions
of high smoothness . . . . . . . . . . . 129--136
Nira Dyn and
David Levin and
Samuel Rippa Data dependent triangulations for
piecewise linear interpolation . . . . . 137--154
G. Markham Conjugate gradient type methods for
indefinite, asymmetric, and complex
systems . . . . . . . . . . . . . . . . 155--170
Alexander Ostermann A half-explicit extrapolation method for
differential-algebraic systems of index
$3$ . . . . . . . . . . . . . . . . . . 171--180
I. Gladwell and
R. M. Thomas Efficiency of methods for second-order
problems . . . . . . . . . . . . . . . . 181--207
K. Surla and
Z. Uzelac Some uniformly convergent spline
difference schemes for singularly
perturbed boundary value problems . . . 209--222
P. D. Kaklis and
D. G. Pandelis Convexity-preserving polynomial splines
of nonuniform degree . . . . . . . . . . 223--234
L. Brutman and
P. Vértesi and
Y. Xu Interpolation by polynomials in $z$ and
$ z^{-1}$ on an annulus . . . . . . . . 235--241
Ana C. Matos A convergence acceleration method based
on a good estimation of the absolute
value of the error . . . . . . . . . . . 243--251
Christine Bernardi and
Claudio Canuto and
Yvon Maday and
Brigitte Métivet Single-grid spectral collocation for the
Navier--Stokes equations . . . . . . . . 253--297
Stephen J. Wright Convergence of an inexact algorithm for
composite nonsmooth optimization . . . . 299--321
A. S. Deif Realistic a priori and a posteriori
error bounds for computed eigenvalues 323--329
Moody T. Chu Solving additive inverse eigenvalue
problems for symmetric matrices by the
homotopy method . . . . . . . . . . . . 331--342
C. A. Kokkinos and
N. Papamichael and
A. B. Sideridis An orthonormalization method for the
approximate conformal mapping of
multiply-connected domains . . . . . . . 343--359
P. J. van der Houwen and
B. P. Sommeijer Improving the stability of
predictor-corrector methods by residue
smoothing . . . . . . . . . . . . . . . 361--378
W.-J. Beyn The numerical computation of connecting
orbits in dynamical systems . . . . . . 379--405
K. E. Khor A factorization-related method for
elliptic partial differential equations
with iterative improvement . . . . . . . 407--424
A. Kirsch and
P. Monk Convergence analysis of a coupled finite
element and spectral method in acoustic
scattering . . . . . . . . . . . . . . . 425--447
Yves Tourigny Product approximation for nonlinear
Klein--Gordon equations . . . . . . . . 449--462
A. Iserles and
S. P. Nòrsett On the theory of parallel Runge--Kutta
methods . . . . . . . . . . . . . . . . 463--488
P. W. Sharp and
J. M. Fine and
K. Burrage Two-stage and three-stage diagonally
implicit Runge--Kutta Nyström methods of
orders three and four . . . . . . . . . 489--504
Igor Moret and
Pierpaolo Omari A projective Newton method for
semilinear operator equations in Banach
spaces . . . . . . . . . . . . . . . . . 505--520
Yi Yan Cosine change of variable for Symm's
integral equation on open arcs . . . . . 521--535
J. J. Skroba\'nski Bounded-norm matrix-inverse mappings . . 537--554
I. Koltracht and
P. Lancaster Constraining strategies for linear
iterative processes . . . . . . . . . . 555--567
G. A. Watson Chebyshev approximation to data by
positive sums of exponentials . . . . . 569--582
M. P. Cullinan Data smoothing using nonnegative divided
differences and $ l_2 $ approximation 583--608
R. Döhler Squared Givens rotation . . . . . . . . 1--5
K. Wright and
A. H.-A. Ahmed and
A. H. Seleman Mesh selection in collocation for
boundary value problems . . . . . . . . 7--20
M. Ganesh and
M. C. Joshi Numerical solvability of Hammerstein
integral equations of mixed type . . . . 21--31
Andreas Karageorghis and
Timothy N. Phillips Conforming Chebyshev spectral
collocation methods for the solution of
laminar flow in a constricted channel 33--54
D. B. Duncan A simple and effective self-adaptive
moving mesh for enthalpy formulations of
phase change problems . . . . . . . . . 55--78
A. Bermúdez and
C. Rodríguez and
M. A. Vilar Solving shallow water equations by a
mixed implicit finite element method . . 79--97
A. K. Pani and
P. C. Das A finite element Galerkin method for a
unidimensional single-phase nonlinear
Stefan problem with Dirichlet boundary
conditions . . . . . . . . . . . . . . . 99--113
Stig Larsson and
Vidar Thomée and
Lars B. Wahlbin Finite-element methods for a strongly
damped wave equation . . . . . . . . . . 115--142
Christopher T. H. Baker and
Neville J. Ford Some applications of the boundary-locus
method and the method of $D$-partitions 143--158
M. G. Cox and
P. M. Harris The approximation of a composite Bézier
cubic curve by a composite Bézier
quadratic curve . . . . . . . . . . . . 159--180
Iain S. Duff and
N. I. M. Gould and
J. K. Reid and
J. A. Scott and
K. Turner The factorization of sparse symmetric
indefinite matrices . . . . . . . . . . 181--204
A. Iserles Complex dynamics of convergence
acceleration . . . . . . . . . . . . . . 205--240
K. W. Morton and
E. Süli Finite volume methods and their analysis 241--260
R. C. Mittal and
S. Gahlaut High-order finite-difference schemes to
solve Poisson's equation in polar
coordinates . . . . . . . . . . . . . . 261--270
Gh. Adam and
A. Nobile Product integration rules at
Clenshaw--Curtis and related points: a
robust implementation . . . . . . . . . 271--296
J. R. Dormand and
M. E. A. El-Mikkawy and
P. J. Prince Corrigendum: ``High-order embedded
Runge--Kutta--Nyström formulae'' [IMA J.
Numer. Anal. \bf 7 (1987), no. 4,
423--430; MR 90d:65136] . . . . . . . . 297--297
Nicholas I. M. Gould An algorithm for large-scale quadratic
programming . . . . . . . . . . . . . . 299--324
Ya Xiang Yuan A modified BFGS algorithm for
unconstrained optimization . . . . . . . 325--332
Raymond H. Chan Toeplitz preconditioners for Toeplitz
systems with nonnegative generating
functions . . . . . . . . . . . . . . . 333--345
T. E. Simos Some new four-step exponential-fitting
methods for the numerical solution of
the radial Schrödinger equation . . . . . 347--356
Bernard Bialecki Sinc-collocation methods for two-point
boundary value problems . . . . . . . . 357--375
A. K. Pani and
P. C. Das A priori error estimates for a
single-phase quasilinear Stefan problem
in one space dimension . . . . . . . . . 377--392
P. D. Loach and
A. J. Wathen On the best least squares approximation
of continuous functions using linear
splines with free knots . . . . . . . . 393--409
I. C. Demetriou and
M. J. D. Powell Least squares smoothing of univariate
data to achieve piecewise monotonicity 411--432
I. C. Demetriou and
M. J. D. Powell The minimum sum of squares change to
univariate data that gives convexity . . 433--448
J. M. Sanz-Serna and
D. F. Griffiths A new class of results for the algebraic
equations of implicit Runge--Kutta
processes . . . . . . . . . . . . . . . 449--455
Desmond J. Higham Global error versus tolerance for
explicit Runge--Kutta methods . . . . . 457--480
G. A. Watson An algorithm for optimal $ l_2 $ scaling
of matrices . . . . . . . . . . . . . . 481--492
I. Christie and
C. Palencia An exact Riemann solver for a fluidized
bed model . . . . . . . . . . . . . . . 493--508
Yves Tourigny Optimal $ H^1 $ estimates for two
time-discrete Galerkin approximations of
a nonlinear Schrödinger equation . . . . 509--523
G. Fairweather and
J. C. López Marcos A box method for a nonlinear equation of
population dynamics . . . . . . . . . . 525--538
M. J. Ablowitz and
B. M. Herbst and
J. A. C. Weideman Dynamics of semi-discretizations of the
defocusing nonlinear Schrödinger equation 539--552
S. W. Schoombie Stability properties and spurious period
two solutions in a numerical scheme for
a reaction-diffusion equation with
nonlinear diffusion . . . . . . . . . . 553--578
John W. Barrett and
Roma Chakrabarti and
Charles M. Elliott Finite element approximation of a rigid
punch indenting a membrane . . . . . . . 579--594
Teresa Diogo and
Sean McKee and
Tao Tang A Hermite-type collocation method for
the solution of an integral equation
with a certain weakly singular kernel 595--605
Jeremy J. Du Croz and
Nicholas J. Higham Stability of Methods for Matrix
Inversion . . . . . . . . . . . . . . . 1--19
Mario Arioli and
Francesco Romani Stability, convergence, and conditioning
of stationary iterative methods of the
form $ x^{(i + 1)} = P x^{(i)} + q $ for
the solution of linear systems . . . . . 21--30
J. A. Cuminato Uniform convergence of a collocation
method for the numerical solution of
Cauchy-type singular integral equations:
a generalization . . . . . . . . . . . . 31--45
Wei Min Han The $p$-version penalty finite element
method . . . . . . . . . . . . . . . . . 47--56
G. J. Cooper Weak nonlinear stability of implicit
Runge--Kutta methods . . . . . . . . . . 57--65
C. A. Hall and
T. A. Porsching Approximation methods in the computer
numerically controlled fabrication of
optical surfaces. I. Finite-dimensional
material removal profile spaces . . . . 67--84
Naoki Osada A method for obtaining sequence
transformations . . . . . . . . . . . . 85--94
Bernd Mulansky Chebyshev approximation by spline
functions with free knots . . . . . . . 95--105
R. K. Beatson and
M. J. D. Powell Univariate interpolation on a regular
finite grid by a multiquadric plus a
linear polynomial . . . . . . . . . . . 107--133
Bruce Christianson Automatic Hessians by reverse
accumulation . . . . . . . . . . . . . . 135--150
M. R. Osborne An effective method for computing
regression quantiles . . . . . . . . . . 151--166
J. Saranen and
Ian H. Sloan Quadrature methods for
logarithmic-kernel integral equations on
closed curves . . . . . . . . . . . . . 167--187
Matja\vz Omladi\vc Average quadrature formulas of Gauss
type . . . . . . . . . . . . . . . . . . 189--199
Lutz Angermann An a posteriori estimation for the
solution of elliptic boundary value
problems by means of upwind FEM . . . . 201--215
A. Chalabi Stable upwind schemes for hyperbolic
conservation laws with source terms . . 217--241
V. L. Bakke and
Z. Jackiewicz Stability analysis of multilag and
modified multilag methods for Volterra
integrodifferential equations . . . . . 243--257
C. A. Hall and
T. A. Porsching Approximation methods in the computer
numerically controlled fabrication of
optical surfaces. II. Mollifications . . 259--269
P. Dierckx and
S. Van Leemput and
T. Vermeire Algorithms for surface fitting using
Powell--Sabin splines . . . . . . . . . 271--299
R. M. M. Mattheij Decoupling of bidiagonal systems
involving singular blocks . . . . . . . 301--317
D. F. Griffiths and
P. K. Sweby and
H. C. Yee On spurious asymptotic numerical
solutions of explicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 319--338
M. D. Buhmann and
A. Iserles On the dynamics of a discretized neutral
equation . . . . . . . . . . . . . . . . 339--363
T. Murdoch and
C. J. Budd Convergent and spurious solutions of
nonlinear elliptic equations . . . . . . 365--386
A. Iserles and
E. B. Saff and
Xiao Yan Liu On zeros of Hankel determinants with
iterated polynomial entries . . . . . . 387--403
J. López-Gómez and
J. C. Eilbeck and
M. Molina and
K. N. Duncan Structure of solution manifolds in a
strongly coupled elliptic system . . . . 405--428
Michael Dellnitz Computational bifurcation of periodic
solutions in systems with symmetry . . . 429--455
J. M. Sanz-Serna and
A. M. Stuart A note on uniform in time error
estimates for approximations to
reaction-diffusion equations . . . . . . 457--462
P. D. Robinson and
A. J. Wathen Variational bounds on the entries of the
inverse of a matrix . . . . . . . . . . 463--486
A. Iserles and
A. M. Stuart Unified approach to spurious solutions
introduced by time discretization. II.
BDF-like methods . . . . . . . . . . . . 487--502
Gregor Müllenheim Solving two-point boundary value
problems with spline functions . . . . . 503--518
J. M. Borwein and
I. J. Zucker Fast evaluation of the gamma function
for small rational fractions using
complete elliptic integrals of the first
kind . . . . . . . . . . . . . . . . . . 519--526
B. Cahlon and
D. Schmidt Numerical solutions for functional
integral equations . . . . . . . . . . . 527--543
P. K. Jimack On steady and large time solutions of
the semi-discrete moving finite element
equations for one-dimensional diffusion
problems . . . . . . . . . . . . . . . . 545--564
Christine Bernardi and
Vivette Girault and
Yvon Maday Mixed spectral element approximation of
the Navier--Stokes equations in the
stream-function and vorticity
formulation . . . . . . . . . . . . . . 565--608
I. S. Duff and
G. A. Watson and
others Editorial: Leslie Fox, 1918--1992 . . . i--ii
J. M. Varah Errors and perturbations in Vandermonde
systems . . . . . . . . . . . . . . . . 1--12
Zong Min Wu and
Robert Schaback Local error estimates for radial basis
function interpolation of scattered data 13--27
Ivan G. Graham and
Kendall E. Atkinson On the Sloan iteration applied to
integral equations of the first kind . . 29--41
Ke Chen and
S. Amini Numerical analysis of boundary integral
solution of the Helmholtz equation in
domains with nonsmooth boundaries . . . 43--66
C. T. H. Baker and
M. S. Derakhshan Convergence and stability of quadrature
methods applied to Volterra equations
with delay . . . . . . . . . . . . . . . 67--91
Tao Tang A note on collocation methods for
Volterra integro-differential equations
with weakly singular kernels . . . . . . 93--99
Lian Hua Lu The stability of the block $ \theta
$-methods . . . . . . . . . . . . . . . 101--114
Georgios D. Akrivis Finite difference discretization of the
cubic Schrödinger equation . . . . . . . 115--124
D. Porter and
D. S. G. Stirling The reiterated Galerkin method . . . . . 125--139
K. W. Morton and
I. J. Sobey Discretization of a convection-diffusion
equation . . . . . . . . . . . . . . . . 141--160
W. Govaerts and
J. D. Pryce Mixed block elimination for linear
systems with wider borders . . . . . . . 161--180
N. Papamichael and
M. J. Soares and
N. S. Stylianopoulos A numerical method for the computation
of Faber polynomials for starlike
domains . . . . . . . . . . . . . . . . 181--193
K. Atkinson and
J. Flores The discrete collocation method for
nonlinear integral equations . . . . . . 195--213
W. M. Pickering and
P. J. Harley FFT solution of the Robbins problem . . 215--233
Ronald H. W. Hoppe A globally convergent multi-grid
algorithm for moving boundary problems
of two-phase Stefan type . . . . . . . . 235--253
Ning Zhao and
Jia Zun Dai Uniformly third-order accurate TVNE
interpolations . . . . . . . . . . . . . 255--261
A. R. Humphries Spurious solutions of numerical methods
for initial value problems . . . . . . . 263--290
L. Torelli and
R. Vermiglio On the stability of continuous
quadrature rules for differential
equations with several constant delays 291--302
R. Weiner and
M. Arnold and
P. Rentrop and
K. Strehmel Partitioning strategies in Runge--Kutta
type methods . . . . . . . . . . . . . . 303--319
Marcos Raydan On the Barzilai and Borwein choice of
steplength for the gradient method . . . 321--326
Ian D. Coope Curve interpolation with nonlinear
spiral splines . . . . . . . . . . . . . 327--341
Nai Kuan Tsao and
Tse-Chien Sun On the numerical computation of the
derivatives of a B-spline series . . . . 343--364
Yingkang Hu An algorithm for data reduction using
splines with free knots . . . . . . . . 365--381
Jack Williams and
Z. Kalogiratou Best Chebyshev approximation from
families of ordinary differential
equations . . . . . . . . . . . . . . . 383--395
M. E. Hosea and
L. F. Shampine Global extrapolation integrators for
solving Sturm--Liouville problems by
shooting . . . . . . . . . . . . . . . . 397--411
Weizhang Huang and
David M. Sloan A new pseudospectral method with upwind
features . . . . . . . . . . . . . . . . 413--430
V. S. Manoranjan and
R. Drake A spectrum enveloping technique for
convection-diffusion computations . . . 431--443
David Elliott An asymptotic analysis of two algorithms
for certain Hadamard finite-part
integrals . . . . . . . . . . . . . . . 445--462
G. Rodriguez and
S. Seatzu On the numerical inversion of the
Laplace transform in reproducing kernel
Hilbert spaces . . . . . . . . . . . . . 463--475
Peter Köhler Error estimates for generalized compound
quadrature formulas . . . . . . . . . . 477--491
Steven Pruess Shape preserving $ C^2 $ cubic spline
interpolation . . . . . . . . . . . . . 493--507
S. N. Chandler-Wilde Some uniform stability and convergence
results for integral equations on the
real line and projection methods for
their solution . . . . . . . . . . . . . 509--535
Yves Achdou and
Olivier Pironneau The $ \chi $-method for the
Navier--Stokes equations . . . . . . . . 537--558
P. A. Binding and
Patrick J. Browne and
Xing Zhi Ji A numerical method using the Prüfer
transformation for the calculation of
eigenpairs of two-parameter
Sturm--Liouville problems . . . . . . . 559--569
P. M. Fuchs A global negative result on algebraic
stability and a special positive result
on linear stability of generalized IRK
methods . . . . . . . . . . . . . . . . 571--589
Ian H. Sloan and
Dat Tran and
Graeme Fairweather A fourth-order cubic spline method for
linear second-order two-point boundary
value problems . . . . . . . . . . . . . 591--607
R. B. Simpson Testing for effects of asymmetry and
instability on preconditioned iterations
of conjugate gradient type . . . . . . . 1--25
Qin Sheng Global error estimates for exponential
splitting . . . . . . . . . . . . . . . 27--56
J. Levesley and
D. M. Hough and
S. N. Chandler-Wilde A Chebyshev collocation method for
solving Symm's integral equation for
conformal mapping: a partial error
analysis . . . . . . . . . . . . . . . . 57--79
G. Mastroianni and
G. Monegato Nyström interpolants based on the zeros
of Legendre polynomials for a noncompact
integral operator equation . . . . . . . 81--95
Bill Semper Locking in finite-element approximations
to long thin extensible beams . . . . . 97--109
Fabio Gastaldi and
Lucia Gastaldi On a domain decomposition for the
transport equation: theory and finite
element approximation . . . . . . . . . 111--135
W. Wu and
A. Spence and
K. A. Cliffe Steady-state/Hopf mode interaction at a
symmetry-breaking Takens--Bogdanov point 137--160
Eugene Allgower and
Klaus Böhmer and
Mei Zhen Branch switching at a corank-$4$
bifurcation point of semi-linear
elliptic problems with symmetry . . . . 161--182
J. L. M. van Dorsselaer and
M. N. Spijker The error committed by stopping the
Newton iteration in the numerical
solution of stiff initial value problems 183--209
Yi-Ling F. Chiang Properties of optimal schemes for linear
$1$D PDE initial value hyperbolic
problems with variable coefficients . . 211--232
M. Á. López Marcos Numerical analysis of pseudospectral
methods for the Kuramoto--Sivashinsky
equation . . . . . . . . . . . . . . . . 233--242
Zhi Ming Chen and
K.-H. Hoffmann An error estimate for a finite-element
scheme for a phase field model . . . . . 243--255
J. J. H. Miller and
S. Wang A new nonconforming Petrov--Galerkin
finite-element method with triangular
elements for a singularly perturbed
advection-diffusion problem . . . . . . 257--276
A. Priestley The positive and nearly conservative
Lagrange--Galerkin method . . . . . . . 277--294
F. A. Potra and
E. Venturino Low-order methods for Cauchy principal
value integrals with endpoint
singularities . . . . . . . . . . . . . 295--310
W. McLean and
I. H. Sloan A fully discrete and symmetric boundary
element method . . . . . . . . . . . . . 311--345
Christopher T. H. Baker and
Christopher A. H. Paul Computing stability regions ---
Runge--Kutta methods for delay
differential equations . . . . . . . . . 347--362
Willem Hundsdorfer On the error of general linear methods
for stiff dissipative differential
equations . . . . . . . . . . . . . . . 363--379
W.-J. Beyn Numerical analysis of homoclinic orbits
emanating from a Takens--Bogdanov point 381--410
T. Männikkö and
P. Neittaanmäki and
D. Tiba A rapid method for the identification of
the free boundary in two-phase Stefan
problems . . . . . . . . . . . . . . . . 411--420
Donald A. French and
Sòren Jensen Long-time behaviour of arbitrary order
continuous time Galerkin schemes for
some one-dimensional phase transition
problems . . . . . . . . . . . . . . . . 421--442
R. Pytlak On the convergence of conjugate gradient
algorithms . . . . . . . . . . . . . . . 443--460
Kendall E. Atkinson The numerical solution of a non-linear
boundary integral equation on smooth
surfaces . . . . . . . . . . . . . . . . 461--483
D. Delbourgo and
D. Elliott On the approximate evaluation of
Hadamard finite-part integrals . . . . . 485--500
Robert L. Doucette A Nyström method for the numerical
solution of Laplace's equation with
non-linear boundary conditions on a
polygon . . . . . . . . . . . . . . . . 501--522
A. Kirsch and
P. Monk An analysis of the coupling of
finite-element and Nyström methods in
acoustic scattering . . . . . . . . . . 523--544
I. T. Abu-Zaid and
M. A. El-Gebeily A finite-difference method for the
spectral approximation of a class of
singular two-point boundary value
problems . . . . . . . . . . . . . . . . 545--562
Zhaojun Bai and
D. Hu and
L. Reichel A Newton basis GMRES implementation . . 563--581
Guy Latouche Newton's iteration for non-linear
equations in Markov chains . . . . . . . 583--598
K. Pan On Mason's conjecture concerning
interpolation by polynomials in $z$ and
$ z^{-1}$ on an annulus . . . . . . . . 599--604
Vladimír Janovský and
Bodo Werner Constructive analysis of
Takens--Bogdanov points with $ Z_2
$-symmetry . . . . . . . . . . . . . . . 1--21
Stephen Schecter Rate of convergence of numerical
approximations to homoclinic bifurcation
points . . . . . . . . . . . . . . . . . 23--60
Lucas Jódar and
Enrique Ponsoda Non-autonomous Riccati-type matrix
differential equations: existence
interval, construction of continuous
numerical solutions and error bounds . . 61--74
Richard H. Fabiano and
Roger Knobel and
Bruce D. Lowe A finite-difference algorithm for an
inverse Sturm--Liouville problem . . . . 75--88
J. J. H. Miller and
E. O'Riordan and
G. I. Shishkin On piecewise-uniform meshes for upwind-
and central-difference operators for
solving singularly perturbed problems 89--99
B. García-Archilla and
J. A. Mackenzie Analysis of a supraconvergent cell
vertex finite-volume method for
one-dimensional convection-diffusion
problems . . . . . . . . . . . . . . . . 101--115
Guang Fu Sun and
Martin Stynes Finite-element methods for singularly
perturbed high-order elliptic two-point
boundary value problems. I.
Reaction-diffusion-type problems . . . . 117--139
Moody T. Chu and
Joel W. Wright The educational testing problem
revisited . . . . . . . . . . . . . . . 141--160
Lutz Angermann Error estimates for the finite-element
solution of an elliptic singularly
perturbed problem . . . . . . . . . . . 161--196
Guang Fu Sun and
Martin Stynes Finite-element methods for singularly
perturbed high-order elliptic two-point
boundary value problems. II.
Convection-diffusion-type problems . . . 197--219
Bosco García-Archilla and
Javier de Frutos Time integration of the non-linear
Galerkin method . . . . . . . . . . . . 221--244
Gerald Moore Computation and parametrization of
periodic and connecting orbits . . . . . 245--263
Vladimír Janovský and
Petr Plechá\vc Numerical analysis of subspace-breaking
Takens--Bogdanov points . . . . . . . . 265--290
William K. Glunt An alternating projections method for
certain linear problems in a Hilbert
space . . . . . . . . . . . . . . . . . 291--305
A. Messaoudi Some properties of the recursive
projection and interpolation algorithms 307--318
Leon Greenberg and
Marco Marletta Oscillation theory and numerical
solution of fourth-order
Sturm--Liouville problems . . . . . . . 319--356
Luise Blank Stability of collocation for weakly
singular Volterra equations . . . . . . 357--375
Charalambos G. Makridakis High-order fully discrete methods for
the equations of elastic wave
propagation with absorbing boundary
conditions . . . . . . . . . . . . . . . 377--404
Hong Wang and
Richard E. Ewing and
Thomas F. Russell Eulerian--Lagrangian localized adjoint
methods for convection-diffusion
equations and their convergence analysis 405--459
M. Madalena Martins and
M. Estela Trigo An error bound for the modified
successive overrelaxation method . . . . 461--473
Markku Miettinen and
Jaroslav Haslinger Approximation of non-monotone
multivalued differential inclusions . . 475--503
J. Carr and
D. B. Duncan and
C. H. Walshaw Numerical approximation of a metastable
system . . . . . . . . . . . . . . . . . 505--521
Alaeddin Malek and
Timothy N. Phillips Pseudospectral collocation methods for
fourth-order differential equations . . 523--553
Ch. Lubich and
A. Ostermann Linearly implicit time discretization of
non-linear parabolic equations . . . . . 555--583
Clemens Elster and
Arnold Neumaier A grid algorithm for bound constrained
optimization of noisy functions . . . . 585--608
Ji-Guang Sun Optimal backward perturbation bounds for
the linear least-squares problem with
multiple right-hand sides . . . . . . . 1--11
Vladimir Maz\cprimeya and
Gunther Schmidt On approximate approximations using
Gaussian kernels . . . . . . . . . . . . 13--29
K.-H. Hoffmann and
Jun Zou Parallel solution of variational
inequality problems with nonlinear
source terms . . . . . . . . . . . . . . 31--45
M. Calvo and
D. J. Higham and
J. I. Montijano and
L. Rández Global error estimation with adaptive
explicit Runge--Kutta methods . . . . . 47--63
P. M. Selwood and
A. J. Wathen Convergence rates and classification for
one-dimensional finite-element meshes 65--74
Daoqi Yang A parallel iterative nonoverlapping
domain decomposition procedure for
elliptic problems . . . . . . . . . . . 75--91
Ulrich Brink and
Ernst P. Stephan Convergence rates for the coupling of
FEM and collocation BEM . . . . . . . . 93--110
J. F. Blowey and
M. I. M. Copetti and
C. M. Elliott Numerical analysis of a model for phase
separation of a multi-component alloy 111--139
J. M. Peña Pivoting strategies leading to small
bounds of the errors for certain linear
systems . . . . . . . . . . . . . . . . 141--153
Y. H. Dai and
Y. Yuan Convergence properties of the
Fletcher--Reeves method . . . . . . . . 155--164
G. Bellettini and
M. Paolini Numerical simulations of measurements of
capillary contact angles . . . . . . . . 165--178
John P. Coleman and
Liviu Gr. Ixaru $P$-stability and exponential-fitting
methods for $ y^\prime = f(x, y)$ . . . 179--199
Hans Joachim Schroll and
Ragnar Winther Finite-difference schemes for scalar
conservation laws with source terms . . 201--215
Andreas Rathsfeld Error estimates and extrapolation for
the numerical solution of Mellin
convolution equations . . . . . . . . . 217--255
John W. Barrett and
James F. Blowey An error bound for the finite element
approximation of a model for phase
separation of a multi-component alloy 257--287
A. T. Hill and
E. Süli Set convergence for discretizations of
the attractor . . . . . . . . . . . . . 289--296
Karl Meerbergen and
Dirk Roose Matrix transformations for computing
rightmost eigenvalues of large sparse
non-symmetric eigenvalue problems . . . 297--346
V. Girault and
H. Lopez Finite-element error estimates for the
MAC scheme . . . . . . . . . . . . . . . 347--379
P. K. Jimack Optimal eigenvalue and asymptotic
large-time approximations using the
moving finite-element method . . . . . . 381--398
F. A. Milner and
E.-J Park Mixed finite-element methods for
Hamilton--Jacobi--Bellman-type equations 399--412
M. Al-Zanaidi and
C. Grossmann and
R. L. Voller Monotonous enclosures for the
Thomas--Fermi equation in the isolated
neutral atom case . . . . . . . . . . . 413--434
Philip J. Aston and
A. Ganesh Sittampalam Numerical methods for steady-state mode
interactions . . . . . . . . . . . . . . 435--456
Xiao-Wen Chang and
Christopher C. Paige and
G. W. Stewart New perturbation analyses for the
Cholesky factorization . . . . . . . . . 457--484
Xinmin Wang Convergence of parallel AOR and GAOR
methods applied to $H$-matrices . . . . 485--499
P. Kunkel A tree-based analysis of a family of
augmented systems for the computation of
singular points . . . . . . . . . . . . 501--527
Hans-Görg Roos A note on the conditioning of upwind
schemes on Shishkin meshes . . . . . . . 529--538
Pingwen Zhang Convergence of vortex methods in a
bounded domain using linear finite
elements . . . . . . . . . . . . . . . . 539--548
Thomas Sonar Optimal recovery using thin plate
splines in finite volume methods for the
numerical solution of hyperbolic
conservation laws . . . . . . . . . . . 549--581
P. Wesseling von Neumann stability conditions for the
convection-diffusion equation . . . . . 583--598
G. W. Stewart On the perturbation of $ L U $ and
Cholesky factors . . . . . . . . . . . . 1--6
G. W. Stewart The triangular matrices of Gaussian
elimination and related decompositions 7--16
K. J. in 't Hout Stability analysis of Runge--Kutta
methods for systems of delay
differential equations . . . . . . . . . 17--27
Wen Guo and
Martin Stynes Pointwise error estimates for a
streamline diffusion scheme on a
Shishkin mesh for a convection-diffusion
problem . . . . . . . . . . . . . . . . 29--59
E. F. Toro and
S. J. Billett A unified Riemann-problem-based
extension of the Warming-Beam and
Lax--Wendroff schemes . . . . . . . . . 61--102
Barbara Zubik-Kowal The method of lines for parabolic
differential-functional equations . . . 103--123
O. Axelsson and
Yu. R. Hakopian and
Yu. A. Kuznetsov Multilevel preconditioning for perturbed
finite element matrices . . . . . . . . 125--149
O. Stein Bifurcations of hyperbolic fixed points
for explicit Runge--Kutta methods . . . 151--175
A. Priestley The multidimensional positive and nearly
conservative Lagrange--Galerkin method.
Part II: The use of $ C^1 $ elements . . 177--199
Carsten Carstensen and
Peter Wriggers On the symmetric boundary element method
and the symmetric coupling of boundary
elements and finite elements . . . . . . 201--238
J. Ka\vcur and
R. Van Keer On the numerical solution of a class of
nonlinear parabolic problems with
Volterra operators by a Rothe-Galerkin
finite element method . . . . . . . . . 239--269
Rekha P. Kulkarni Use of extrapolation for improving the
order of convergence of eigenelement
approximations . . . . . . . . . . . . . 271--284
Gabriel Caloz Stability of the approximation of a
regular solution branch . . . . . . . . 285--303
Carla Manni and
Paul Sablonni\`ere Monotone interpolation of order $3$ by $
C^2$ cubic splines . . . . . . . . . . . 305--320
George Goodsell A multigrid-type method for thin plate
spline interpolation on a circle . . . . 321--327
Chunyang He and
G. A. Watson An algorithm for computing the numerical
radius . . . . . . . . . . . . . . . . . 329--342
R. K. Beatson and
W. A. Light Fast evaluation of radial basis
functions: methods for two-dimensional
polyharmonic splines . . . . . . . . . . 343--372
P. D. Kaklis and
M. I. Karavelas Shape-preserving interpolation in $
\bold R^3 $ . . . . . . . . . . . . . . 373--419
Barbara Blaschke and
Andreas Neubauer and
Otmar Scherzer On convergence rates for the iteratively
regularized Gauss--Newton method . . . . 421--436
Björn Sandstede Convergence estimates for the numerical
approximation of homoclinic solutions 437--462
David Da-Kwun Chien and
Kendall Atkinson A discrete Galerkin method for a
hypersingular boundary integral equation 463--478
Kai Diethelm Generalized compound quadrature formulae
for finite-part integrals . . . . . . . 479--493
Nicholas J. Higham Iterative refinement for linear systems
and LAPACK . . . . . . . . . . . . . . . 495--509
José A. Ezquerro A modification of the Chebyshev method 511--525
Antony Smith and
David Silvester Implicit algorithms and their
linearization for the transient
incompressible Navier--Stokes equations 527--545
M. Ainsworth and
D. W. Kelly and
I. H. Sloan and
S. L. Wang Post-processing with computable error
bounds for the finite element
approximation of a nonlinear heat
conduction problem . . . . . . . . . . . 547--561
M. B. Giles On the stability and convergence of
discretizations of initial value p.d.e.s 563--576
Jens Markus Melenk On the robust exponential convergence of
$ h p $ finite element methods for
problems with boundary layers . . . . . 577--601
Thang Cao Hierarchical basis methods for
hypersingular integral equations . . . . 603--619
G. Mastroianni and
G. Monegato Nyström interpolants based on zeros of
Laguerre polynomials for some
Weiner-Hopf equations . . . . . . . . . 621--642
Johannes Elschner and
Ivan G. Graham Quadrature methods for Symm's integral
equation on polygons . . . . . . . . . . 643--664
M. J. D. Powell A ``taut string algorithm'' for
straightening a piecewise linear path in
two dimensions . . . . . . . . . . . . . 1--35
Ioannis K. Argyros On a new Newton-Mysovskii-type theorem
with applications to inexact Newton-like
methods and their discretizations . . . 37--56
B. Cano and
J. M. Sanz-Serna Error growth in the numerical
integration of periodic orbits by
multistep methods, with application to
reversible systems . . . . . . . . . . . 57--75
Barnabas M. Garay The discretized flow on domains of
attraction: a structural stability
result . . . . . . . . . . . . . . . . . 77--90
Thierry Cazenave and
Flávio Dickstein Implicit finite difference schemes for a
linear model of well-reservoir coupling 91--120
Mohamed Farhloul A mixed finite element method for a
nonlinear Dirichlet problem . . . . . . 121--132
Bernhard Kawohl and
Christoph Schwab Convergent finite elements for a class
of nonconvex variational problems . . . 133--149
Qiya Hu Geometric meshes and their application
to Volterra integro-differential
equations with singularities . . . . . . 151--164
Jesús Cardenal and
Iain S. Duff and
José M. Jiménez Solution of sparse quasi-square
rectangular systems by Gaussian
elimination . . . . . . . . . . . . . . 165--177
M. A. El-Gebeily and
I. T. Abu-Zaid On a finite difference method for
singular two-point boundary value
problems . . . . . . . . . . . . . . . . 179--190
M. Ganesh and
A. Spence Orthogonal collocation for a nonlinear
integro-differential equation . . . . . 191--206
Peter Oswald An optimal multilevel preconditioner for
solenoidal approximations of the
two-dimensional Stokes problem . . . . . 207--228
Xiaobing Feng Analysis of a domain decomposition
method for the nearly elastic wave
equations based on mixed finite element
methods . . . . . . . . . . . . . . . . 229--250
S. Wang and
I. H. Sloan and
D. W. Kelly Computable error bounds for pointwise
derivatives of a Neumann problem . . . . 251--271
A. Poullikkas and
A. Karageorghis and
G. Georgiou The method of fundamental solutions for
Signorini problems . . . . . . . . . . . 273--285
John W. Barrett and
James F. Blowey Finite element approximation of a model
for phase separation of a
multi-component alloy with a
concentration-dependent mobility matrix 287--328
O. Stein Erratum: ``Bifurcations of hyperbolic
fixed points for explicit Runge--Kutta
methods'' [IMA J. Numer. Anal. \bf 17
(1997), no. 2, 151--175; MR 98d:65103] 329--329
Tim N. T. Goodman and
Charles A. Micchelli and
Giuseppe Rodriguez and
Sebastiano Seatzu On the limiting profile arising from
orthonormalizing shifts of exponentially
decaying functions . . . . . . . . . . . 331--354
Jean-Pierre P. Dussault Augmented penalty algorithms . . . . . . 355--372
Markus Hegland and
Michael R. Osborne Wrap-around partitioning for block
bidiagonal linear systems . . . . . . . 373--383
Paulo B. Vasconcelos and
Filomena D. d'Almeida Preconditioned iterative methods for
coupled discretizations of fluid flow
problems . . . . . . . . . . . . . . . . 385--397
Nicola Guglielmi Delay dependent stability regions of $
\Theta $-methods for delay differential
equations . . . . . . . . . . . . . . . 399--418
Morten Bjòrhus Operator splitting for abstract Cauchy
problems . . . . . . . . . . . . . . . . 419--443
R. Jeltsch and
R. A. Renaut and
J. H. Smit An accuracy barrier for stable
three-time-level difference schemes for
hyperbolic equations . . . . . . . . . . 445--484
G. Nürnberger and
G. Walz Error analysis in interpolation by
bivariate $ C_1 $-splines . . . . . . . 485--508
Zhong-Zhi Bai On the monotone convergence of matrix
multisplitting relaxation methods for
the linear complementarity problem . . . 509--518
Saara Hyvönen Polynomial acceleration of the
Picard--Lindelöf iteration . . . . . . . 519--543
Lucas Jódar and
J. C. Cortés López Rational matrix approximation with a
priori error bounds for non-symmetric
matrix Riccati equations with analytic
coefficients . . . . . . . . . . . . . . 545--561
R. Eymard and
T. Gallouët and
M. Ghilani and
R. Herbin Error estimates for the approximate
solutions of a nonlinear hyperbolic
equation given by finite volume schemes 563--594
T. Kühn Convergence of a fully discrete
approximation for advected mean
curvature flows . . . . . . . . . . . . 595--634
Klaus Deckelnick and
Charles M. Elliott Finite element error bounds for a curve
shrinking with prescribed normal contact
to a fixed boundary . . . . . . . . . . 635--654
Luc Giraud and
Ray S. Tuminaro Schur complement preconditioners for
anisotropic problems . . . . . . . . . . 1--18
Mustafa Ç. Pinar and
Bintong Chen $ l_1 $ solution of linear inequalities 19--37
Paola Favati and
Beatrice Meini On functional iteration methods for
solving nonlinear matrix equations
arising in queueing problems . . . . . . 39--49
E. Freire and
L. Pizarro and
A. J. Rodríguez-Luis Numerical continuation of degenerate
homoclinic orbits in planar systems . . 51--75
Wen Shen Error bounds of finite difference
schemes for multi-dimensional scalar
conservation laws with source terms . . 77--89
J. I. Frankel and
G. E. Osborne A new time treatment for solving partial
integro-differential equations of
radiative transport . . . . . . . . . . 91--103
Dario Fasino and
Gabriele Inglese Discrete methods in the study of an
inverse problem for Laplace's equation 105--118
J. Ka\vcur Solution to strongly nonlinear parabolic
problems by a linear approximation
scheme . . . . . . . . . . . . . . . . . 119--145
John W. Barrett and
James F. Blowey An improved error bound for a finite
element approximation of a model for
phase separation of a multi-component
alloy . . . . . . . . . . . . . . . . . 147--168
O. Gonzalez and
D. J. Higham and
A. M. Stuart Qualitative properties of modified
equations . . . . . . . . . . . . . . . 169--190
Zlatko Drma\vc A posteriori computation of the singular
vectors in a preconditioned Jacobi SVD
algorithm . . . . . . . . . . . . . . . 191--213
Daoqi Yang An iterative perturbation method for
saddle point problems . . . . . . . . . 215--231
John Mackenzie Uniform convergence analysis of an
upwind finite-difference approximation
of a convection-diffusion boundary value
problem on an adaptive grid . . . . . . 233--249
Salim Meddahi and
Antonio Márquez A multidomain discretization method with
local mesh refinement . . . . . . . . . 251--271
Pasi Tarvainen Two-level Schwarz method for unilateral
variational inequalities . . . . . . . . 273--290
Xing Cai and
Bjòrn Fredrik Nielsen and
Aslak Tveito An analysis of a preconditioner for the
discretized pressure equation arising in
reservoir simulation . . . . . . . . . . 291--316
Jörg Fliege and
Ulrike Maier The distribution of points on the sphere
and corresponding cubature formulae . . 317--334
Plamen Y. Yalamov and
Marcin Paprzycki Stability and performance analysis of a
block elimination solver for bordered
linear systems . . . . . . . . . . . . . 335--348
Guang-Da Hu and
Guang-Di Hu and
S. A. Meguid Stability of Runge--Kutta methods for
delay differential systems with multiple
delays . . . . . . . . . . . . . . . . . 349--356
Michael K. Ng Fast iterative methods for symmetric
sinc-Galerkin systems . . . . . . . . . 357--373
Gerald Moore and
Evelyne Hubert Algorithms for constructing stable
manifolds of stationary solutions . . . 375--424
Jens Markus Melenk and
Christoph Schwab An $ h p $ finite element method for
convection-diffusion problems in one
dimension . . . . . . . . . . . . . . . 425--453
Jos L. M. van Dorsselaer and
Christian Lubich Inertial manifolds of parabolic
differential equations under
higher-order discretizations . . . . . . 455--471
Amiya K. Pani A qualocation method for parabolic
partial differential equations . . . . . 473--495
M. R. Osborne and
Linping Sun A new approach to symmetric rank-one
updating . . . . . . . . . . . . . . . . 497--507
M. P. Calvo and
A. Iserles and
A. Zanna Conservative methods for the Toda
lattice equations . . . . . . . . . . . 509--523
K. Engelborghs and
K. Lust and
D. Roose Direct computation of period doubling
bifurcation points of large-scale
systems of ODEs using a Newton--Picard
method . . . . . . . . . . . . . . . . . 525--547
K. Jbilou and
H. Sadok $ L U $ implementation of the modified
minimal polynomial extrapolation method
for solving linear and nonlinear systems 549--561
Dong Liang and
Bo Zhang A finite element method for a
unidimensional single-phase nonlinear
free boundary problem in groundwater
flow . . . . . . . . . . . . . . . . . . 563--581
Huaxiong Huang and
Zhilin Li Convergence analysis of the immersed
interface method . . . . . . . . . . . . 583--608
Kenneth Hvistendahl Karlsen and
Knut-Andreas Lie An unconditionally stable splitting
scheme for a class of nonlinear
parabolic equations . . . . . . . . . . 609--635
M. D. Baker and
E. Süli and
A. F. Ware Stability and convergence of the
spectral Lagrange--Galerkin method for
mixed periodic/non-periodic
convection-dominated diffusion problems 637--663
Anonymous Referees 1998--99 . . . . . . . . . . . 665--667
Anonymous Index to volume 19 . . . . . . . . . . . 669--670
Ernst P. Stephan and
Thanh Tran Domain decomposition algorithms for
indefinite weakly singular integral
equations: the $h$ and $p$ versions . . 1--24
Mich\`ele Reifenberg and
Jean-Paul Berrut Numerical solution of boundary integral
equations by means of attenuation
factors . . . . . . . . . . . . . . . . 25--46
E. F. Toro and
S. J. Billett Centred TVD schemes for hyperbolic
conservation laws . . . . . . . . . . . 47--79
Zhiming Chen and
Tsimin Shih and
Xingye Yue Numerical methods for Stefan problems
with prescribed convection and nonlinear
flux . . . . . . . . . . . . . . . . . . 81--98
P. W. Hemker and
G. I. Shishkin and
L. P. Shishkina $ \epsilon $-uniform schemes with
high-order time-accuracy for parabolic
singular perturbation problems . . . . . 99--121
Xinghua Wang Convergence of Newton's method and
uniqueness of the solution of equations
in Banach space . . . . . . . . . . . . 123--134
Johannes Schropp One-step and multistep procedures for
constrained minimization problems . . . 135--152
Chengming Huang Dissipativity of Runge--Kutta methods
for dynamical systems with delays . . . 153--166
Alexander Ostermann and
Mechthild Thalhammer Non-smooth data error estimates for
linearly implicit Runge--Kutta methods 167--184
Reiner Schätzle On the perturbation of the zeros of
complex polynomials . . . . . . . . . . 185--202
Birgit Faermann Localization of the
Aronszajn--Slobodeckij norm and
application to adaptive boundary
elements methods. Part I. The
two-dimensional case . . . . . . . . . . 203--234
A. Durán and
J. M. Sanz-Serna The numerical integration of relative
equilibrium solutions. The nonlinear
Schrödinger equation . . . . . . . . . . 235--261
C. Clavero and
J. C. Jorge and
F. Lisbona and
G. I. Shishkin An alternating direction scheme on a
nonuniform mesh for reaction-diffusion
parabolic problems . . . . . . . . . . . 263--280
Mirko Sardella On a coupled finite element--finite
volume method for convection-diffusion
problems . . . . . . . . . . . . . . . . 281--301
Kendall Atkinson The planar radiosity equation and its
numerical solution . . . . . . . . . . . 303--332
Yin-Tzer Shih and
Howard C. Elman Iterative methods for stabilized
discrete convection-diffusion problems 333--358
Ana C. Matos Linear difference operators and
acceleration methods . . . . . . . . . . 359--388
M. R. Osborne and
Brett Presnell and
B. A. Turlach A new approach to variable selection in
least squares problems . . . . . . . . . 389--403
Michael J. Johnson Overcoming the boundary effects in
surface spline interpolation . . . . . . 405--422
Sean McKee and
Tao Tang and
Teresa Diogo An Euler-type method for two-dimensional
Volterra integral equations of the first
kind . . . . . . . . . . . . . . . . . . 423--440
Peter Quell Nonlinear stability of entropy flux
splitting schemes on bounded domains . . 441--459
Carsten Carstensen and
Stefan A. Funken Coupling of mixed finite elements and
boundary elements . . . . . . . . . . . 461--480
Klaus Deckelnick and
Kunibert G. Siebert $ W^{1, \infty } $-convergence of the
discrete free boundary for obstacle
problems . . . . . . . . . . . . . . . . 481--498
Nicholas J. Higham and
Hyun-Min Kim Numerical analysis of a quadratic matrix
equation . . . . . . . . . . . . . . . . 499--519
J. M. Gutierrez and
M. A. Hernandez Newton's method under weak Kantorovich
conditions . . . . . . . . . . . . . . . 521--532
Silvia Bertoluzza and
Angela Kunoth Wavelet stabilization and
preconditioning for domain decomposition 533--559
Torsten Linß On the numerical solution of involutive
ordinary differential systems . . . . . 561--599
Roman Chapko and
Rainer Kress and
Lars Monch On the numerical solution of a
hypersingular integral equation for
elastic scattering from a planar crack 601--619
Torsten Linß Analysis of a Galerkin finite element
method on a Bakhvalov-Shishkin mesh for
a linear convection-diffusion problem 621--632
Adrian T. Hill and
Endre Suli Approximation of the global attractor
for the incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 633--667
The Editors Editorial . . . . . . . . . . . . . . . 0--0
Charles M. Elliott and
Vanessa Styles Numerical analysis of a mean field model
of superconducting vortices . . . . . . 1--51
Dominik Schötzau and
Christoph Schwab Exponential convergence in a Galerkin
least squares hp-FEM for Stokes flow . . 53--80
Mark Ainsworth and
Mark Arnold Computable error bounds for some simple
dimensionally reduced models on thin
domains . . . . . . . . . . . . . . . . 81--105
David Kay and
David Silvester The reliability of local error
estimators for convection-diffusion
equations . . . . . . . . . . . . . . . 107--122
Martin Stynes and
Lutz Tobiska The streamline-diffusion method for
nonconforming Q elements on rectangular
tensor-product meshes . . . . . . . . . 123--142
H. Manouzi and
M. Farhloul Mixed finite element analysis of a
non-linear three-fields Stokes model . . 143--164
J.-L. Guermond Subgrid stabilization of Galerkin
approximations of linear monotone
operators . . . . . . . . . . . . . . . 165--197
Bor Plestenjak A continuation method for a weakly
elliptic two-parameter eigenvalue
problem . . . . . . . . . . . . . . . . 199--216
S. Langdon and
I. G. Graham Boundary integral methods for singularly
perturbed boundary value problems . . . 217--237
Juan A. Acebrón and
Mikhail M. Lavrentiev, Jr. and
Renato Spigler Spectral analysis and computation for
the Kuramoto-Sakaguchi integroparabolic
equation . . . . . . . . . . . . . . . . 239--263
Norbert Heuer and
Ernst P. Stephan An additive Schwarz method for the
$h$--$p$ version of the boundary element
method for hypersingular integral
equations in $ \Re $ . . . . . . . . . . 265--283
Holger Wendland Local polynomial reproduction and moving
least squares approximation . . . . . . 285--300
Souren Asaturyan and
Paolo Costantini and
Carla Manni Local shape-preserving interpolation by
space curves . . . . . . . . . . . . . . 301--325
Bernhard A. Schmitt and
Rüdiger Weiner Equilibrium attractivity of Runge--Kutta
methods . . . . . . . . . . . . . . . . 327--348
Relja Vulanovi\'c A priori meshes for singularly perturbed
quasilinear two-point boundary value
problems . . . . . . . . . . . . . . . . 349--366
J. E. Frank and
P. J. Van Der Houwen Parallel iteration of the extended
backward differentiation formulas . . . 367--385
Divakar Viswanath Global errors of numerical ODE solvers
and Lyapunov's theory of stability . . . 387--406
Arieh Iserles Multistep methods on manifolds . . . . . 407--419
E. G. Van Den Heuvel Using resolvent conditions to obtain new
stability results for $ \theta $-methods
for delay differential equations . . . . 421--438
Nicola Guglielmi and
Ernst Hairer Geometric proofs of numerical stability
for delay equations . . . . . . . . . . 439--450
Raymond H. Chan and
Michael K. Ng and
Xiao-Qing Jin Strang-type preconditioners for systems
of L.M.F.-based O.D.E. codes . . . . . . 451--462
Elena Celledoni and
Arieh Iserles Methods for the approximation of the
matrix exponential in a Lie-algebraic
setting . . . . . . . . . . . . . . . . 463--488
A. Boumenir and
B. Chanane The computation of negative eigenvalues
of singular Sturm--Liouville problems 489--501
Gerd Kunert \em A posteriori $ L_2 $ error
estimation on anisotropic tetrahedral
finite element meshes . . . . . . . . . 503--523
M. Farhloul and
S. Nicaise and
L. Paquet A refined mixed finite element method
for the Boussinesq equations in
polygonal domains . . . . . . . . . . . 525--551
Rapha\`ele Herbin and
Emmanuelle Marchand Finite volume approximation of a class
of variational inequalities . . . . . . 553--585
He-ping Ma and
Ben-yu Guo Composite Legendre-Laguerre
pseudospectral approximation in
unbounded domains . . . . . . . . . . . 587--602
C. W. Cheung and
C.-H. Lai On a flexible elimination algorithm with
applications to panel element equations 603--619
Keith Miller and
Mike J. Baines Least squares moving finite elements . . 621--642
Zhimin Zhang and
Ningning Yan and
Tong Sun Superconvergent derivative recovery for
the intermediate finite element family
of the second type . . . . . . . . . . . 643--665
Vanessa Styles Error estimates for a finite-difference
approximation of a mean field model of
superconducting vortices in
one-dimension . . . . . . . . . . . . . 667--701
R. Zvan and
P. A. Forsyth and
K. R. Vetzal A finite volume approach for contingent
claims valuation . . . . . . . . . . . . 703--731
Barnabas M. Garay and
Peter L. Simon Numerical flow-box theorems under
structural assumptions . . . . . . . . . 733--749
Lars Grüne Persistence of attractors for one-step
discretization of ordinary differential
equations . . . . . . . . . . . . . . . 751--767
Daniel Potts and
Gabriele Steidl A new linogram algorithm for
computerized tomography . . . . . . . . 769--782
Hermann Brunner and
Qiya Hu and
Qun Lin Geometric meshes in collocation methods
for Volterra integral equations with
proportional delays . . . . . . . . . . 783--798
Reinhard Hochmuth A localized boundary element method for
the floating body problem . . . . . . . 799--816
Xiaodi Sun Numerical analysis of an exponentially
ill-conditioned boundary value problem
with applications to metastable problems 817--842
Thomas Apel and
Serge Nicaise and
Joachim Schöberl A non-conforming finite element method
with anisotropic mesh grading for the
Stokes problem in domains with edges . . 843--856
Christine Bernardi and
Nicolas Fiétier and
Robert G. Owens An error indicator for mortar element
solutions to the Stokes problem . . . . 857--886
G. N. Milstein and
M. V. Tretyakov Numerical solution of the Dirichlet
problem for nonlinear parabolic
equations by a probabilistic approach 887--917
T. E. Simos A fourth algebraic order
exponentially-fitted Runge--Kutta method
for the numerical solution of the
Schrödinger equation . . . . . . . . . . 919--931
Yu-Hong Dai and
Li-Zhi Liao R-linear convergence of the Barzilai and
Borwein gradient method . . . . . . . . 1--10
John W. Barrett and
James F. Blowey Finite element approximation of an
Allen--Cahn/Cahn--Hilliard system . . . 11--71
Leopoldo P. Franca and
Lutz Tobiska Stability of the residual free bubble
method for bilinear finite elements on
rectangular grids . . . . . . . . . . . 73--87
A. J. Briggs and
J. R. Claisse and
C. M. Elliott Finite-difference approximation of a
one-dimensional
Hamilton--Jacobi/elliptic system arising
in superconductivity . . . . . . . . . . 89--131
Xu Da Uniform $l$ behaviour for time
discretization of a Volterra equation
with completely monotonic kernel: I.
stability . . . . . . . . . . . . . . . 133--151
M. P. Calvo High order starting iterates for
implicit Runge--Kutta methods: an
improvement for variable-step symplectic
integrators . . . . . . . . . . . . . . 153--166
Michael Dellnitz and
Oliver Schütze and
Stefan Sertl Finding zeros by multilevel subdivision
techniques . . . . . . . . . . . . . . . 167--185
J. A. Ezquerro and
M. A. Hernández Generalized differentiability conditions
for Newton's method . . . . . . . . . . 187--205
Jean-Jacques Gervais and
Hassan Sadiky A new steplength control for
continuation with the asymptotic
numerical method . . . . . . . . . . . . 207--229
Amiya K. Pani and
Graeme Fairweather $ H^1 $-Galerkin mixed finite element
methods for parabolic partial
integro-differential equations . . . . . 231--252
Mario Ohlberger and
Christian Rohde Adaptive finite volume approximations
for weakly coupled convection dominated
parabolic systems . . . . . . . . . . . 253--280
D. Kessler and
J.-F. Scheid A priori error estimates of a
finite-element method for an isothermal
phase-field model related to the
solidification process of a binary alloy 281--305
Mark Ainsworth and
Patrick Coggins A uniformly stable family of mixed $ h p
$ finite elements with continuous
pressures for incompressible flow . . . 307--327
Nicholas J. Higham Computing the nearest correlation
matrix---a problem from finance . . . . 329--343
G. A. Watson On the Gauss--Newton method for $ l_1 $
orthogonal distance regression . . . . . 345--357
Roy L. Adler and
Jean-Pierre Dedieu and
Joseph Y. Margulies and
Marco Martens and
Mike Shub Newton's method on Riemannian manifolds
and a geometric model for the human
spine . . . . . . . . . . . . . . . . . 359--390
Oleg P. Iliev On second-order-accurate discretization
of $3$D interface problems and its fast
solution with a pointwise multigrid
solver . . . . . . . . . . . . . . . . . 391--406
Mikäel Barboteu and
Weimin Han and
Mircea Sofonea Numerical analysis of a bilateral
frictional contact problem for linearly
elastic materials . . . . . . . . . . . 407--436
Gert Lube and
Maxim A. Olshanskii Stable finite-element calculation of
incompressible flows using the rotation
form of convection . . . . . . . . . . . 437--461
Olaf Hansen On the stability of the Collocation
method for the Radiosity equation on
polyhedral domains . . . . . . . . . . . 463--479
Nicoletta Del Buono and
Adrian T. Hill On a multistep method approximating a
linear sectorial evolution equation . . 481--499
Thomas G. Wright and
Lloyd N. Trefethen Pseudospectra of rectangular matrices 501--519
L. Giraud and
J. Langou When modified Gram--Schmidt generates a
well-conditioned set of vectors . . . . 521--528
Alfredo Bellen Preservation of superconvergence in the
numerical integration of delay
differential equations with proportional
delay . . . . . . . . . . . . . . . . . 529--536
Ming-Chih Lai and
Wen-Wei Lin and
Weichung Wang A fast spectral/difference method
without pole conditions for Poisson-type
equations in cylindrical and spherical
geometries . . . . . . . . . . . . . . . 537--548
Jianguo Huang and
Jun Zou A mortar element method for elliptic
problems with discontinuous coefficients 549--576
Ning Ju On the global stability of a temporal
discretization scheme for the
Navier--Stokes equations . . . . . . . . 577--597
G. N. Milstein and
M. V. Tretyakov A probabilistic approach to the solution
of the Neumann problem for nonlinear
parabolic equations . . . . . . . . . . 599--622
K. H. Karlsen and
N. H. Risebro and
J. D. Towers Upwind difference approximations for
degenerate parabolic
convection-diffusion equations with a
discontinuous coefficient . . . . . . . 623--664
Anonymous Referees 2001--2002 . . . . . . . . . . 665--667
Anonymous Index to Volume 22 . . . . . . . . . . . 669--670
Siegfried M. Rump Optimal scaling for $p$-norms and
componentwise distance to singularity 1--9
Chun-Hua Guo On a quadratic matrix equation
associated with an $M$-matrix . . . . . 11--27
P. Ghelardoni and
G. Gheri and
M. Marletta Numerical solution of a $ \lambda
$-rational Sturm--Liouville problem . . 29--53
Olaf Klein and
Claudio Verdi A posteriori error estimates for a time
discrete scheme for a phase-field system
of Penrose-Fife type . . . . . . . . . . 55--80
Claire Chainais-Hillairet and
Yue-Jun Peng Convergence of a finite-volume scheme
for the drift-diffusion equations in
$1$D . . . . . . . . . . . . . . . . . . 81--108
Huiyuan Li and
Hua Wu and
Heping Ma The Legendre Galerkin-Chebyshev
collocation method for Burgers-like
equations . . . . . . . . . . . . . . . 109--124
Weizhu Bao Error bounds for the finite-element
approximation of the exterior Stokes
equations in two dimensions . . . . . . 125--148
Hoang Nguyen and
Rob Stevenson Finite-element wavelets on manifolds . . 149--173
Rida T. Farouki and
Carla Manni and
Alessandra Sestini Shape-preserving interpolation by $ G^1
$ and $ G^2 $ PH quintic splines . . . . 175--195
John P. Coleman Order conditions for a class of two-step
methods for $ y' = f(x, y) $ . . . . . . 197--220
Peter E. Kloeden and
Johannes Schropp Uniform attractors of nonautonomous
index $2$ differential algebraic
equations under discretization . . . . . 221--239
D. M. Pooley and
P. A. Forsyth and
K. R. Vetzal Numerical convergence properties of
option pricing PDEs with uncertain
volatility . . . . . . . . . . . . . . . 241--267
Dongwoo Sheen and
Ian H. Sloan and
Vidar Thomée A parallel method for time
discretization of parabolic equations
based on Laplace transformation and
quadrature . . . . . . . . . . . . . . . 269--299
Gabriel N. Gatica and
Norbert Heuer and
Salim Meddahi On the numerical analysis of nonlinear
twofold saddle point problems . . . . . 301--330
B. Heinrich and
S. Nicaise The Nitsche mortar finite-element method
for transmission problems with
singularities . . . . . . . . . . . . . 331--358
J. V. Burke and
A. S. Lewis and
M. L. Overton Robust stability and a criss-cross
algorithm for pseudospectra . . . . . . 359--375
Yu-Hong Dai and
Ya-Xiang Yuan Alternate minimization gradient method 377--393
Jean-Pierre Dedieu and
Pierre Priouret and
Gregorio Malajovich Newton's method on Riemannian manifolds:
covariant alpha theory . . . . . . . . . 395--419
N. Guglielmi and
M. Zennaro Stability of one-leg $ \Theta $-methods
for the variable coefficient pantograph
equation on the quasi-geometric mesh . . 421--438
Raúl Ferreira and
Pablo Groisman and
Julio D. Rossi Adaptive numerical schemes for a
parabolic problem with blow-up . . . . . 439--463
Yubin Yan Smoothing properties and approximation
of time derivatives for parabolic
equations: constant time steps . . . . . 465--487
Jan Brandts and
Michal K\vrízek Gradient superconvergence on uniform
simplicial partitions of polytopes . . . 489--505
J. Droniou and
R. Eymard and
D. Hilhorst and
X. D. Zhou Convergence of a finite-volume mixed
finite-element method for an
elliptic-hyperbolic system . . . . . . . 507--538
Journal Ernesto G. Birgin and
José Mario Martínez and
Marcos Raydan Inexact spectral projected gradient
methods on convex sets . . . . . . . . . 539--559
Journal Zhong-Zhi Bai and
Gui-Qing Li Restrictively preconditioned conjugate
gradient methods for systems of linear
equations . . . . . . . . . . . . . . . 561--580
Journal Changjun Li and
Zheng Li and
David J. Evans and
Tie Zhang A note on an SOR-like method for
augmented systems . . . . . . . . . . . 581--592
Journal G. N. Milstein and
M. V. Tretyakov Quasi-symplectic methods for
Langevin-type equations . . . . . . . . 593--626
Journal Niall Madden and
Martin Stynes A uniformly convergent numerical method
for a coupled system of two singularly
perturbed linear reaction-diffusion
problems . . . . . . . . . . . . . . . . 627--644
Journal Robert I. McLachlan Spatial discretization of partial
differential equations with integrals 645--664
Journal Yinnian He A fully discrete stabilized
finite-element method for the
time-dependent Navier--Stokes problem 665--691
Journal Bernard Bialecki and
Ryan I. Fernandes An orthogonal spline collocation
alternating direction implicit method
for second-order hyperbolic problems . . 693--718
Anonymous Editorial . . . . . . . . . . . . . . . i
Journal D. Breda and
S. Maset and
R. Vermiglio Computing the characteristic roots for
delay differential equations . . . . . . 1--19
Journal B. M. Brown and
M. Marletta Spectral inclusion and spectral
exactness for PDEs on exterior domains 21--43
Journal Thomas P. Wihler Locking-free DGFEM for elasticity
problems in polygons . . . . . . . . . . 45--75
Journal Shaochun Chen and
Dongyang Shi and
Yongcheng Zhao Anisotropic interpolation and
quasi-Wilson element for narrow
quadrilateral meshes . . . . . . . . . . 77--95
Journal Xuejun Xu and
S. H. Lui and
T. Rahman A two-level additive Schwarz method for
the Morley nonconforming element
approximation of a nonlinear biharmonic
equation . . . . . . . . . . . . . . . . 97--122
Journal Andrea Toselli and
Xavier Vasseur Domain decomposition preconditioners of
Neumann--Neumann type for $ h p $
approximations on boundary layer meshes
in three dimensions . . . . . . . . . . 123--156
Journal B. Bialecki and
M. Ganesh and
K. Mustapha A Petrov--Galerkin method with
quadrature for elliptic boundary value
problems . . . . . . . . . . . . . . . . 157--177
Rob Brownlee and
Will Light Approximation orders for interpolation
by surface splines to rough functions 179--192
Chengjian Zhang and
Stefan Vandewalle Stability analysis of Runge--Kutta
methods for nonlinear Volterra
delay-integro-differential equations . . 193--214
Lori Badea On the Schwarz-Neumann method with an
arbitrary number of domains . . . . . . 215--238
Torsten Linss Error expansion for a first-order upwind
difference scheme applied to a model
convection-diffusion problem . . . . . . 239--253
Ana Alonso Rodríguez and
Ralf Hiptmair and
Alberto Valli Mixed finite element approximation of
eddy current problems . . . . . . . . . 255--271
Dominik Schötzau and
Christoph Schwab and
Andrea Toselli Mixed hp-DGFEM for incompressible flows
II: Geometric edge meshes . . . . . . . 273--308
Andrey B. Andreev and
Todor D. Todorov Isoparametric finite-element
approximation of a Steklov eigenvalue
problem . . . . . . . . . . . . . . . . 309--322
J. W. Barrett and
R. Nürnberg Convergence of a finite-element
approximation of surfactant spreading on
a thin film in the presence of van der
Waals forces . . . . . . . . . . . . . . 323--363
Arieh Iserles On the numerical quadrature of
highly-oscillating integrals. I: Fourier
transforms . . . . . . . . . . . . . . . 365--391
Michael Levitin and
Eugene Shargorodsky Spectral pollution and second-order
relative spectra for self-adjoint
operators . . . . . . . . . . . . . . . 393--416
E. B. Davies and
M. Plum Spectral pollution . . . . . . . . . . . 417--438
William McLean and
Vidar Thomée Time discretization of an evolution
equation via Laplace transforms . . . . 439--463
René Cautr\`es and
Rapha\`ele Herbin and
Florence Hubert The Lions domain decomposition algorithm
on non-matching cell-centred finite
volume meshes . . . . . . . . . . . . . 465--490
V. Girault and
R. Glowinski and
H. López A domain decomposition and mixed method
for a linear parabolic boundary value
problem . . . . . . . . . . . . . . . . 491--520
Z. Belhachmi Residual a posteriori error estimates
for a $3$D mortar finite-element method:
the Stokes system . . . . . . . . . . . 521--547
Nicholas J. Higham The numerical stability of barycentric
Lagrange interpolation . . . . . . . . . 547--556
P. W. Sharp Comparisons of integrators on a diverse
collection of restricted three-body test
problems . . . . . . . . . . . . . . . . 557--575
Mayru Chen and
Ming-Chia Li Stability of uniformly Morse--Smale
gradient-like numerical methods for
flows . . . . . . . . . . . . . . . . . 577--585
Gabriel J. Lord and
Jacques Rougemont A numerical scheme for stochastic PDEs
with Gevrey regularity . . . . . . . . . 587--604
Hassan Manouzi and
Thomas Gorm Theting Mixed finite element approximation for
the stochastic pressure equation of Wick
type . . . . . . . . . . . . . . . . . . 605--634
Willem Hundsdorfer and
Carolynne Montijn A note on flux limiting for diffusion
discretizations . . . . . . . . . . . . 635--642
Qiya Hu Preconditioning Poincaré--Steklov
operators arising from domain
decompositions with mortar multipliers 643--669
Xiaobing Feng and
Zhenghui Xie A priori error estimates for a coupled
finite element method and mixed finite
element method for a fluid--solid
interaction problem . . . . . . . . . . 671--698
Song Wang A novel fitted finite volume method for
the Black--Scholes equation governing
option pricing . . . . . . . . . . . . . 699--720
Anonymous Referees 2003--2004 . . . . . . . . . . 721--724
Anonymous Index to Volume 24 . . . . . . . . . . . 725--726
Iain Duff and
Endre Süli Change of Editorship . . . . . . . . . . i--i
A. C. Faul and
G. Goodsell and
M. J. D. Powell A Krylov subspace algorithm for
multiquadric interpolation in many
dimensions . . . . . . . . . . . . . . . 1--24
Arieh Iserles On the numerical quadrature of
highly-oscillating integrals II:
Irregular oscillators . . . . . . . . . 25--44
Adrian T. Hill Multistep approximation of linear
sectorial evolution equations . . . . . 45--56
Evelyn Buckwar and
Tony Shardlow Weak approximation of stochastic
differential delay equations . . . . . . 57--86
Y. d'Halluin and
P. A. Forsyth and
K. R. Vetzal Robust numerical methods for contingent
claims under jump diffusion processes 87--112
Steve Bryson and
Alexander Kurganov and
Doron Levy and
Guergana Petrova Semi-discrete central-upwind schemes
with reduced dissipation for
Hamilton--Jacobi equations . . . . . . . 113--138
L. Jones Doss and
Amiya K. Pani A qualocation method for a
unidimensional single phase semilinear
Stefan problem . . . . . . . . . . . . . 139--159
Qun Lin and
Lutz Tobiska and
Aihui Zhou Superconvergence and extrapolation of
non-conforming low order finite elements
applied to the Poisson equation . . . . 160--181
C. M. Elliott and
D. Kay and
V. Styles Finite element analysis of a current
density--electric field formulation of
Bean's model for superconductivity . . . 182--204
Emmanuil H. Georgoulis and
Endre Süli Optimal error estimates for the $ h
p$-version interior penalty
discontinuous Galerkin finite element
method . . . . . . . . . . . . . . . . . 205--220
Roberto Andreani and
Ernesto G. Birgin and
José Mario Martínez and
Jinyun Yuan Spectral projected gradient and variable
metric methods for optimization with
linear inequalities . . . . . . . . . . 221--252
Jiming Wu and
Yong Lü A superconvergence result for the
second-order Newton--Cotes formula for
certain finite-part integrals . . . . . 253--263
Zhengfeng Li and
Michael R. Osborne and
Tania Prvan Parameter estimation of ordinary
differential equations . . . . . . . . . 264--285
P. F. Tupper A test problem for molecular dynamics
integrators . . . . . . . . . . . . . . 286--309
Thomas Apel and
Cornelia Pester Clement-type interpolation on spherical
domains---interpolation error estimates
and application to a posteriori error
estimation . . . . . . . . . . . . . . . 310--336
Paola Pozzi The discrete Douglas problem:
convergence results . . . . . . . . . . 337--378
I. G. Graham and
W. Hackbusch and
S. A. Sauter Finite elements on degenerate meshes:
inverse-type inequalities and
applications . . . . . . . . . . . . . . 379--407
Gerd Kunert A posteriori $ H^1 $ error estimation
for a singularly perturbed reaction
diffusion problem on anisotropic meshes 408--428
J. C. Miellou and
P. Spiteri and
D. El Baz Stopping criteria, forward and backward
errors for perturbed asynchronous linear
fixed point methods in finite precision 429--442
Desmond J. Higham Spectral reordering of a range-dependent
weighted random graph . . . . . . . . . 443--457
Jiansong Zhou and
Zhiping Li Computing non-smooth minimizers with the
mesh transformation method . . . . . . . 458--472
Fang Gensun and
Ye Peixin Complexity of deterministic and
randomized methods for multivariate
integration problems for the class $
H_p^\Lambda (I^d) $ . . . . . . . . . . 473--485
Carlos M. Mora Weak exponential schemes for stochastic
differential equations with additive
noise . . . . . . . . . . . . . . . . . 486--506
Doron Levy A stable semi-discrete central scheme
for the two-dimensional incompressible
Euler equations . . . . . . . . . . . . 507--522
Serge Nicaise and
Karim Djadel Convergence analysis of a finite volume
method for the Stokes system using
non-conforming arguments . . . . . . . . 523--548
Ziqing Xie and
Chuanmiao Chen and
Yun Xu An improved search-extension method for
computing multiple solutions of
semilinear PDEs . . . . . . . . . . . . 549--576
Tahar Z. Boulmezaoud and
Mohammed El Rhabi A mortar spectral element method for
$3$D Maxwell's equations . . . . . . . . 577--610
Ivan Cimrák Error estimates for a semi-implicit
numerical scheme solving the
Landau--Lifshitz equation with an
exchange field . . . . . . . . . . . . . 611--634
Eitan Tadmor and
Jared Tanner Adaptive filters for piecewise smooth
spectral data . . . . . . . . . . . . . 635--647
Emre Mengi and
Michael L. Overton Algorithms for the computation of the
pseudospectral radius and the numerical
radius of a matrix . . . . . . . . . . . 648--669
Zheng-Hai Huang The global linear and local quadratic
convergence of a non-interior
continuation algorithm for the LCP . . . 670--684
Dietrich Braess and
Wolfgang Hackbusch Approximation of $ 1 / x $ by
exponential sums in $ [1, \infty) $ . . 685--697
M. S. Jolly and
R. Rosa Computation of non-smooth local centre
manifolds . . . . . . . . . . . . . . . 698--725
Paul Houston and
Janice Robson and
Endre Süli Discontinuous Galerkin finite element
approximation of quasilinear elliptic
boundary value problems. I: the scalar
case . . . . . . . . . . . . . . . . . . 726--749
Amiya K. Pani and
Jin Yun Yuan Semidiscrete finite element Galerkin
approximations to the equations of
motion arising in the Oldroyd model . . 750--782
Catherine E. Powell Parameter-free $H$ (div) preconditioning
for a mixed finite element formulation
of diffusion problems . . . . . . . . . 783--796
S. Barbeiro and
J. A. Ferreira and
R. D. Grigorieff Supraconvergence of a finite difference
scheme for solutions in $ H^s(0, L) $ 797--811
Markus Bause On optimal convergence rates for
higher-order Navier--Stokes
approximations. I. Error estimates for
the spatial discretization . . . . . . . 812--841
Anonymous Referees 2004--2005 . . . . . . . . . . 843--845
Anonymous Index to Volume 25 . . . . . . . . . . . 847--849
Ángel Santos-Palomo and
Pablo Guerrero-García Updating and downdating an upper
trapezoidal sparse orthogonal
factorization . . . . . . . . . . . . . 1--10
Ke Chen and
Martyn D. Hughes A two-level sparse approximate inverse
preconditioner for unsymmetric matrices 11--24
Michael S. Floater Chordal cubic spline interpolation is
fourth-order accurate . . . . . . . . . 25--33
David Cohen Conservation properties of numerical
integrators for highly oscillatory
Hamiltonian systems . . . . . . . . . . 34--59
Nicola Guglielmi Short proofs and a counterexample for
analytical and numerical stability of
delay equations with infinite memory . . 60--77
Jingtang Ma and
Hermann Brunner A posteriori error estimates of
discontinuous Galerkin methods for
non-standard Volterra
integro-differential equations . . . . . 78--95
Andrea Toselli Dual-primal FETI algorithms for edge
finite-element approximations in 3D . . 96--130
M. Aza\"\iez and
F. Ben Belgacem and
C. Bernardi The mortar spectral element method in
domains of operators. Part I: The
divergence operator and Darcy's
equations . . . . . . . . . . . . . . . 131--154
C. Clavero and
J. L. Gracia and
J. C. Jorge A uniformly convergent alternating
direction HODIE finite difference scheme
for $2$D time-dependent
convection--diffusion problems . . . . . 155--172
M. Slodicka A time discretization scheme for a
non-linear degenerate eddy current model
for ferromagnetic materials . . . . . . 173--187
J. Frédéric Bonnans and
Stefania Maroso and
Housnaa Zidani Error estimates for stochastic
differential games: the adverse stopping
case . . . . . . . . . . . . . . . . . . 188--212
Sheehan Olver Moment-free numerical integration of
highly oscillatory functions . . . . . . 213--227
Chong Li and
Jinhua Wang Newton's method on Riemannian manifolds:
Smale's point estimate theory under the
$ \gamma $-condition . . . . . . . . . . 228--251
Hongyu Liu and
Kai Zhang Multi-symplectic Runge--Kutta-type
methods for Hamiltonian wave equations 252--271
G. Of and
O. Steinbach and
W. L. Wendland The fast multipole method for the
symmetric boundary integral formulation 272--296
Vincent J. Ervin and
Norbert Heuer An adaptive boundary element method for
the exterior Stokes problem in three
dimensions . . . . . . . . . . . . . . . 297--325
R. Eymard and
T. Gallouët and
R. Herbin A cell-centred finite-volume
approximation for anisotropic diffusion
operators on unstructured meshes in any
space dimension . . . . . . . . . . . . 326--353
L. Angela Mihai and
Alan W. Craig Alternate strip-based substructuring
algorithms for elliptic PDEs in two
dimensions . . . . . . . . . . . . . . . 354--380
Emmanuil H. Georgoulis and
Andris Lasis A note on the design of $ h p$-version
interior penalty discontinuous Galerkin
finite element methods for degenerate
problems . . . . . . . . . . . . . . . . 381--390
A. Bermúdez and
P. Gamallo and
M. R. Nogueiras and
R. Rodríguez Approximation of a structural acoustic
vibration problem by hexahedral finite
elements . . . . . . . . . . . . . . . . 391--421
D. V. Rovas and
L. Machiels and
Y. Maday Reduced-basis output bound methods for
parabolic problems . . . . . . . . . . . 423--445
C. Cocozza-Thivent and
R. Eymard and
S. Mercier A finite-volume scheme for dynamic
reliability models . . . . . . . . . . . 446--471
Boris Andreianov and
Franck Boyer and
Florence Hubert On the finite-volume approximation of
regular solutions of the $p$-Laplacian 472--502
Mario S. Mommer A smoothness preserving fictitious
domain method for elliptic
boundary-value problems . . . . . . . . 503--524
Tomás Vejchodsky Guaranteed and locally computable a
posteriori error estimate . . . . . . . 525--540
Bernd Heinrich and
Beate Jung The Fourier-finite-element method with
Nitsche mortaring . . . . . . . . . . . 541--562
Jan Maes and
Adhemar Bultheel A hierarchical basis preconditioner for
the biharmonic equation on the sphere 563--583
Xunyang Shen and
Peter R. Turner Taylor approximation for symmetric
level-index arithmetic processing . . . 584--603
Yu-Hong Dai and
William W. Hager and
Klaus Schittkowski and
Hongchao Zhang The cyclic Barzilai--Borwein method for
unconstrained optimization . . . . . . . 604--627
Li Zhang and
Weijun Zhou and
Dong-Hui Li A descent modified
Polak--Ribi\`ere--Polyak conjugate
gradient method and its global
convergence . . . . . . . . . . . . . . 629--640
J. Van Deun and
A. Bultheel A quadrature formula based on Chebyshev
rational functions . . . . . . . . . . . 641--656
Sylvain Maire and
Denis Talay On a Monte Carlo method for neutron
transport criticality computations . . . 657--685
Manuel Torrilhon and
Kun Xu Stability and consistency of kinetic
upwinding for advection--diffusion
equations . . . . . . . . . . . . . . . 686--722
Claus-Justus Heine Computations of form and stability of
rotating drops with finite elements . . 723--751
T. Eibner and
J. M. Melenk A local error analysis of the
boundary-concentrated hp-FEM . . . . . . 752--778
Jan Brandts and
Yanping Chen and
Julie Yang A note on least-squares mixed finite
elements in relation to standard and
mixed finite elements . . . . . . . . . 779--789
Zakaria Belhachmi and
Dorin Bucur and
Jean-Marc Sac-Epee Finite element approximation of the
Neumann eigenvalue problem in domains
with multiple cracks . . . . . . . . . . 790--810
Jukka Tuomela and
Teijo Arponen and
Villesamuli Normi On the numerical solution of involutive
ordinary differential systems: enhanced
linear algebra . . . . . . . . . . . . . 811--846
Anonymous Referees 2005--2006 . . . . . . . . . . 847--850
Anonymous Index to Volume 26 . . . . . . . . . . . 851--853
Zhong-Zhi Bai and
Gene H. Golub Accelerated Hermitian and skew-Hermitian
splitting iteration methods for
saddle-point problems . . . . . . . . . 1--23
G. N. Milstein and
M. V. Tretyakov Discretization of forward--backward
stochastic differential equations and
related quasi-linear parabolic equations 24--44
James J. Coughlan and
Adrian T. Hill and
Hartmut Logemann The $ {\cal Z} $-transform and linear
multistep stability . . . . . . . . . . 45--73
Tatyana Sorokina and
Frank Zeilfelder Local quasi-interpolation by cubic $ C^1
$ splines on type-6 tetrahedral
partitions . . . . . . . . . . . . . . . 74--101
Lyonell Boulton Non-variational approximation of
discrete eigenvalues of self-adjoint
operators . . . . . . . . . . . . . . . 102--121
Paul Houston and
Ilaria Perugia and
Dominik Schötzau An a posteriori error indicator for
discontinuous Galerkin discretizations
of $H$ (curl)-elliptic partial
differential equations . . . . . . . . . 122--150
L. El Alaoui and
A. Ern and
E. Burman A priori and a posteriori analysis of
non-conforming finite elements with face
penalty for advection--diffusion
equations . . . . . . . . . . . . . . . 151--171
Rodolfo Araya and
Gabriel R. Barrenechea and
Frédéric Valentin A stabilized finite-element method for
the Stokes problem including element and
edge residuals . . . . . . . . . . . . . 172--197
Blanca Ayuso and
Javier de Frutos and
Julia Novo Improving the accuracy of the
mini-element approximation to
Navier--Stokes equations . . . . . . . . 198--218
Arieh Iserles and
Michael L. Overton and
Endre Süli Change of Editorship . . . . . . . . . . i--i
Folkmar Bornemann A model for understanding numerical
stability . . . . . . . . . . . . . . . 219--231
Radu Alexandru Todor and
Christoph Schwab Convergence rates for sparse chaos
approximations of elliptic problems with
stochastic coefficients . . . . . . . . 232--261
G. Dziuk and
C. M. Elliott Finite elements on evolving surfaces . . 262--292
Charles M. Elliott and
Yohei Kashima A finite-element analysis of
critical-state models for type-II
superconductivity in $3$D . . . . . . . 293--331
Norikazu Saito Conservative upwind finite-element
method for a simplified Keller--Segel
system modelling chemotaxis . . . . . . 332--365
M. H. Annaby and
M. M. Tharwat On computing eigenvalues of second-order
linear pencils . . . . . . . . . . . . . 366--380
Philippe Chartier and
Ander Murua Preserving first integrals and volume
forms of additively split systems . . . 381--405
Rebecca Carter and
Michael B. Giles Sharp error estimates for
discretizations of the $1$D
convection--diffusion equation with
Dirac initial data . . . . . . . . . . . 406--425
R. K. Beatson and
M. J. D. Powell and
A. M. Tan Fast evaluation of polyharmonic splines
in three dimensions . . . . . . . . . . 427--450
Timo Betcke A GSVD formulation of a domain
decomposition method for planar
eigenvalue problems . . . . . . . . . . 451--478
H. Lamba and
J. C. Mattingly and
A. M. Stuart An adaptive Euler--Maruyama scheme for
SDEs: convergence and stability . . . . 479--506
J. A. Mackenzie and
W. R. Mekwi An analysis of stability and convergence
of a finite-difference discretization of
a model parabolic PDE in $1$D using a
moving mesh . . . . . . . . . . . . . . 507--528
Rajen Kumar Sinha and
Bhupen Deka An unfitted finite-element method for
elliptic and parabolic interface
problems . . . . . . . . . . . . . . . . 529--549
Dugald B. Duncan and
Yiqi Qiu Overlapping grids for the diffusion
equation . . . . . . . . . . . . . . . . 550--575
Natalia Kopteva Maximum norm a posteriori error
estimates for a $1$D singularly
perturbed semilinear reaction--diffusion
problem . . . . . . . . . . . . . . . . 576--592
Frieder Lörcher and
Claus-Dieter Munz Lax--Wendroff-type schemes of arbitrary
order in several space dimensions . . . 593--615
V. A. Titarev and
E. F. Toro Analysis of ADER and ADER-WAF schemes 616--630
Xiaoqun Wang and
Ian H. Sloan Brownian bridge and principal component
analysis: towards removing the curse of
dimensionality . . . . . . . . . . . . . 631--654
Josef Dick and
Gunther Leobacher and
Friedrich Pillichshammer Randomized Smolyak algorithms based on
digital sequences for multivariate
integration . . . . . . . . . . . . . . 655--674
Howard Elman and
Darran Furnival Solving the stochastic steady-state
diffusion problem using multigrid . . . 675--688
Claire Chainais-Hillairet and
Francis Filbet Asymptotic behaviour of a finite-volume
scheme for the transient drift-diffusion
model . . . . . . . . . . . . . . . . . 689--716
Stephan Dahlke and
Thorsten Raasch and
Manuel Werner and
Massimo Fornasier and
Rob Stevenson Adaptive frame methods for elliptic
operator equations: the steepest descent
approach . . . . . . . . . . . . . . . . 717--740
Fotini Karakatsani and
Charalambos Makridakis A posteriori estimates for
approximations of time-dependent Stokes
equations . . . . . . . . . . . . . . . 741--764
Abdallah Bradji and
Ahmed-Salah Chibi Optimal defect corrections on composite
nonmatching finite-element meshes . . . 765--780
B. Bujanda and
J. C. Jorge Order conditions for linearly implicit
fractional step Runge--Kutta methods . . 781--797
Jesús Vigo-Aguiar and
Higinio Ramos A family of $A$-stable Runge--Kutta
collocation methods of higher order for
initial-value problems . . . . . . . . . 798--817
I. P. Gavrilyuk and
A. V. Klimenko and
V. L. Makarov and
N. O. Rossokhata Exponentially convergent parallel
algorithm for nonlinear eigenvalue
problems . . . . . . . . . . . . . . . . 818--838
Joachim Schöberl and
Jens M. Melenk and
Clemens Pechstein and
Sabine Zaglmayr Additive Schwarz preconditioning for
$p$-version triangular and tetrahedral
finite elements . . . . . . . . . . . . 1--24
Mohamed Farhloul and
Serge Nicaise and
Luc Paquet A refined mixed finite-element method
for the stationary Navier--Stokes
equations with mixed boundary conditions 25--45
Lehel Banjai and
Wolfgang Hackbusch Hierarchical matrix techniques for low-
and high-frequency Helmholtz problems 46--79
G. M. Coclite and
K. H. Karlsen and
N. H. Risebro Numerical schemes for computing
discontinuous solutions of the
Degasperis--Procesi equation . . . . . . 80--105
M. Aza\"\iez and
F. Ben Belgacem and
C. Bernardi and
M. El Rhabi The mortar spectral element method in
domains of operators. Part II: the curl
operator and the vector potential
problem . . . . . . . . . . . . . . . . 106--120
Bengt Fornberg and
Natasha Flyer and
Susan Hovde and
Cécile Piret Locality properties of radial basis
function expansion coefficients for
equispaced interpolation . . . . . . . . 121--142
Josep Arnal and
Violeta Migallón and
José Penadés and
Daniel B. Szyld Newton additive and multiplicative
Schwarz iterative methods . . . . . . . 143--161
Wendy Kress and
Stefan Sauter Numerical treatment of retarded boundary
integral equations by sparse panel
clustering . . . . . . . . . . . . . . . 162--185
Carlos Castro and
Sorin Micu and
Arnaud Münch Numerical approximation of the boundary
control for the wave equation with mixed
finite elements in a square . . . . . . 186--214
Yiqin Lin and
Liang Bao and
Yimin Wei A modified Newton method for solving
non-symmetric algebraic Riccati
equations arising in transport theory 215--224
Rommel Bustinza and
Gabriel N. Gatica and
Francisco-Javier Sayas On the coupling of local discontinuous
Galerkin and boundary element methods
for non-linear exterior transmission
problems . . . . . . . . . . . . . . . . 225--244
Paul Houston and
Endre Süli and
Thomas P. Wihler A posteriori error analysis of $ h p $
version discontinuous Galerkin
finite-element methods for second-order
quasi-linear elliptic PDEs . . . . . . . 245--273
Johannes Schropp Projected Runge--Kutta methods for index
$3$ differential--algebraic equations
near equilibria, periodic orbits and
attracting sets . . . . . . . . . . . . 274--291
John W. Barrett and
Harald Garcke and
Robert Nürnberg Numerical approximation of anisotropic
geometric evolution equations in the
plane . . . . . . . . . . . . . . . . . 292--330
Serge Nicaise and
Katharina Witowski and
Barbara I. Wohlmuth An a posteriori error estimator for the
Lamé equation based on equilibrated
fluxes . . . . . . . . . . . . . . . . . 331--353
Rob Stevenson and
Manuel Werner Computation of differential operators in
aggregated wavelet frame coordinates . . 354--381
Stefano Berrone and
Endre Süli Two-sided a posteriori error bounds for
incompressible quasi-Newtonian flows . . 382--421
Carsten Carstensen Convergence of an adaptive FEM for a
class of degenerate convex minimization
problems . . . . . . . . . . . . . . . . 423--439
Marcus J. Grote and
Anna Schneebeli and
Dominik Schötzau Interior penalty discontinuous Galerkin
method for Maxwell's equations: optimal
$ L^2 $-norm error estimates . . . . . . 440--468
Abdallah Bradji and
Rapha\`ele Herbin Discretization of coupled heat and
electrical diffusion problems by
finite-element and finite-volume methods 469--495
Vít Dolejsí and
Miloslav Feistauer and
Václav Kucera and
Veronika Sobotíková An optimal $ L(L^2) $-error estimate for
the discontinuous Galerkin approximation
of a nonlinear non-stationary
convection--diffusion problem . . . . . 496--521
Melina A. Freitag and
Alastair Spence A tuned preconditioner for inexact
inverse iteration applied to Hermitian
eigenvalue problems . . . . . . . . . . 522--551
Daniele Marazzina Stability properties of discontinuous
Galerkin methods for $2$D elliptic
problems . . . . . . . . . . . . . . . . 552--579
Weiwei Sun and
Jiming Wu Interpolatory quadrature rules for
Hadamard finite-part integrals and their
superconvergence . . . . . . . . . . . . 580--597
Michele Benzi and
Daniele Bertaccini Block preconditioning of real-valued
iterative algorithms for complex linear
systems . . . . . . . . . . . . . . . . 598--618
Stefano Micheletti and
Simona Perotto and
Marco Verani Uzawa-based adaptive methods for linear
output functionals . . . . . . . . . . . 619--646
Arieh Iserles and
Michael L. Overton Dedication . . . . . . . . . . . . . . . 647--648
M. J. D. Powell Developments of NEWUOA for minimization
without derivatives . . . . . . . . . . 649--664
C. G. Baker and
P.-A. Absil and
K. A. Gallivan An implicit trust-region method on
Riemannian manifolds . . . . . . . . . . 665--689
R. Andreani and
J. M. Martínez and
L. Martínez Trust-region superposition methods for
protein alignment . . . . . . . . . . . 690--710
J. V. Burke and
A. S. Lewis and
M. L. Overton The speed of Shor's R-algorithm . . . . 711--720
Andrew R. Conn and
Katya Scheinberg and
Luís N. Vicente Geometry of sample sets in
derivative-free optimization: polynomial
regression and underdetermined
interpolation . . . . . . . . . . . . . 721--748
Frank E. Curtis and
Jorge Nocedal Flexible penalty functions for nonlinear
constrained optimization . . . . . . . . 749--769
A. L. Custódio and
J. E. Dennis, Jr. and
L. N. Vicente Using simplex gradients of nonsmooth
functions in direct search methods . . . 770--784
Oleg Davydov and
Larry L. Schumaker Interpolation and scattered data fitting
on manifolds using projected
Powell--Sabin splines . . . . . . . . . 785--805
D. Goldfarb and
K. Scheinberg Numerically stable $ L D L^T $
factorizations in interior point methods
for convex quadratic programming . . . . 806--826
Serge Gratton and
Mélodie Mouffe and
Philippe L. Toint and
Melissa Weber-Mendonça A recursive-trust-region method for
bound-constrained nonlinear optimization 827--861
Arieh Iserles and
Syvert P. Nòrsett From high oscillation to rapid
approximation I: Modified Fourier
expansions . . . . . . . . . . . . . . . 862--887
Hendrik Speleers and
Paul Dierckx and
Stefan Vandewalle Multigrid methods with Powell--Sabin
splines . . . . . . . . . . . . . . . . 888--908
Karl Deckers and
Adhemar Bultheel Recurrence and asymptotics for
orthonormal rational functions on an
interval . . . . . . . . . . . . . . . . 1--23
Bjòrn Fredrik Nielsen and
Aslak Tveito and
Wolfgang Hackbusch Preconditioning by inverting the
Laplacian: an analysis of the
eigenvalues . . . . . . . . . . . . . . 24--42
Jeongho Ahn and
David E. Stewart Dynamic frictionless contact in linear
viscoelasticity . . . . . . . . . . . . 43--71
Radu-Alexandru Todor A new approach to energy-based sparse
finite-element spaces . . . . . . . . . 72--85
Gabriel N. Gatica and
Salim Meddahi and
Ricardo Oyarzúa A conforming mixed finite-element method
for the coupling of fluid flow with
porous media flow . . . . . . . . . . . 86--108
Torsten Linß and
Niall Madden Layer-adapted meshes for a linear system
of coupled singularly perturbed
reaction--diffusion problems . . . . . . 109--125
Ricardo H. Nochetto and
Andreas Veeser and
Marco Verani A safeguarded dual weighted residual
method . . . . . . . . . . . . . . . . . 126--140
A. Amiraslani and
R. M. Corless and
P. Lancaster Linearization of matrix polynomials
expressed in polynomial bases . . . . . 141--157
W. Hackbusch and
W. Kress and
S. A. Sauter Sparse convolution quadrature for time
domain boundary integral formulations of
the wave equation . . . . . . . . . . . 158--179
Erwin Hernández and
Enrique Otárola and
Rodolfo Rodríguez and
Frank Sanhueza Approximation of the vibration modes of
a Timoshenko curved rod of arbitrary
geometry . . . . . . . . . . . . . . . . 180--207
Arie C. de Niet and
Fred W. Wubs Numerically stable $ L D L^T
$-factorization of $ \cal F $-type
saddle point matrices . . . . . . . . . 208--234
Alexandre Ern and
Annette F. Stephansen and
Paolo Zunino A discontinuous Galerkin method with
weighted averages for
advection--diffusion equations with
locally small and anisotropic
diffusivity . . . . . . . . . . . . . . 235--256
Olaf Hansen and
Kendall Atkinson and
David Chien On the norm of the hyperinterpolation
operator on the unit disc and its use
for the solution of the nonlinear
Poisson equation . . . . . . . . . . . . 257--283
Erik Burman and
Johnny Guzmán and
Dmitriy Leykekhman Weighted error estimates of the
continuous interior penalty method for
singularly perturbed problems . . . . . 284--314
J. I. Ardenghi and
T. I. Gibelli and
M. C. Maciel The spectral gradient method for
unconstrained optimal control problems 315--331
S. H. Lui A Lions non-overlapping domain
decomposition method for domains with an
arbitrary interface . . . . . . . . . . 332--349
Catherine E. Powell and
Howard C. Elman Block-diagonal preconditioning for
spectral stochastic finite-element
systems . . . . . . . . . . . . . . . . 350--375
Qiang Du and
Lili Ju and
Li Tian Analysis of a mixed finite-volume
discretization of fourth-order equations
on general surfaces . . . . . . . . . . 376--403
Bishnu P. Lamichhane Inf-sup stable finite-element pairs
based on dual meshes and bases for
nearly incompressible elasticity . . . . 404--420
Nawaf Bou-Rabee and
Houman Owhadi Stochastic variational integrators . . . 421--443
Chengming Huang Stability analysis of general linear
methods for the nonautonomous pantograph
equation . . . . . . . . . . . . . . . . 444--465
Gene Golub and
Frank Uhlig The QR algorithm: 50 years later its
genesis by John Francis and Vera
Kublanovskaya and subsequent
developments . . . . . . . . . . . . . . 467--485
Gradimir V. Milovanovic and
Miodrag M. Spalevic and
Miroslav S. Pranic Error estimates for Gauss--Turán
quadratures and their Kronrod extensions 486--507
L. Angela Mihai and
Alan W. Craig Alternate slice-based substructuring in
three dimensions . . . . . . . . . . . . 508--538
H. Holden and
K. H. Karlsen and
N. H. Risebro A convergent finite-difference method
for a nonlinear variational wave
equation . . . . . . . . . . . . . . . . 539--572
Emmanuil H. Georgoulis and
Paul Houston Discontinuous Galerkin methods for the
biharmonic problem . . . . . . . . . . . 573--594
J. M. Sanz-Serna Modulated Fourier expansions and
heterogeneous multiscale methods . . . . 595--605
István Faragó and
Róbert Horváth Continuous and discrete parabolic
operators and their qualitative
properties . . . . . . . . . . . . . . . 606--631
M. C. De Bonis and
G. Mastroianni Nyström method for systems of integral
equations on the real semiaxis . . . . . 632--650
C. M. Elliott and
S. A. Smitheman Numerical analysis of the TV
regularization and $ H_1 $ fidelity
model for decomposing an image into
cartoon plus texture . . . . . . . . . . 651--689
P. E. Kloeden and
J. Valero Attractors of set-valued partial
differential equations under
discretization . . . . . . . . . . . . . 690--711
R. K. Dunne and
E. O'Riordan and
G. I. Shishkin Fitted mesh numerical methods for
singularly perturbed elliptic problems
with mixed derivatives . . . . . . . . . 712--730
Tatiana Shingel Interpolation in special orthogonal
groups . . . . . . . . . . . . . . . . . 731--745
Orizon P. Ferreira Local convergence of Newton's method in
Banach space from the viewpoint of the
majorant principle . . . . . . . . . . . 746--759
Philipp Grohs Smoothness of interpolatory multivariate
subdivision in Lie groups . . . . . . . 760--772
Michael J. Johnson A symmetric collocation method with fast
evaluation . . . . . . . . . . . . . . . 773--789
J.-L. Guermond The LBB condition in fractional Sobolev
spaces and applications . . . . . . . . 790--805
Christian Rasch and
Thomas Satzger Remarks on the implementation of the
fast marching method . . . . . . . . . . 806--813
Wanyou Cheng and
Dong-Hui Li A derivative-free nonmonotone line
search and its application to the
spectral residual method . . . . . . . . 814--825
Annalisa Buffa and
Christoph Ortner Compact embeddings of broken Sobolev
spaces and applications . . . . . . . . 827--855
Hermann Brunner and
Penny J. Davies and
Dugald B. Duncan Discontinuous Galerkin approximations
for Volterra integral equations of the
first kind . . . . . . . . . . . . . . . 856--881
Arieh Iserles and
Syvert P. Nòrsett From high oscillation to rapid
approximation III: multivariate
expansions . . . . . . . . . . . . . . . 882--916
Fernando D. Gaspoz and
Pedro Morin Convergence rates for adaptive finite
elements . . . . . . . . . . . . . . . . 917--936
John W. Barrett and
Endre Süli Numerical approximation of corotational
dumbbell models for dilute polymers . . 937--959
W. Hackbusch Convolution of $ h p $ functions on
locally refined grids . . . . . . . . . 960--985
Fang Liu and
Niall Madden and
Martin Stynes and
Aihui Zhou A two-scale sparse grid method for a
singularly perturbed reaction--diffusion
problem in two dimensions . . . . . . . 986--1007
Haijun Wu and
Zhimin Zhang Enhancing eigenvalue approximation by
gradient recovery on adaptive meshes . . 1008--1022
Erwan Faou and
Vasile Gradinaru Gauss--Hermite wave packet dynamics:
convergence of the spectral and
pseudo-spectral approximation . . . . . 1023--1045
Giuseppe Mastroianni and
Gradimir V. Milovanovic Some numerical methods for second-kind
Fredholm integral equations on the real
semiaxis . . . . . . . . . . . . . . . . 1046--1066
David F. Griffiths and
Chus (J. M.) Sanz-Serna Andrew Ronald Mitchell . . . . . . . . . 1--3
John W. Barrett and
Harald Garcke and
Robert Nürnberg Numerical approximation of gradient
flows for closed curves in $d$ . . . . . 4--60
Christine Bernardi and
Frédéric Hecht and
Fatma Zohra Nouri A new finite-element discretization of
the Stokes problem coupled with the
Darcy equations . . . . . . . . . . . . 61--93
Rüdiger Borsdorf and
Nicholas J. Higham A preconditioned Newton algorithm for
the nearest correlation matrix . . . . . 94--107
Hermann Brunner and
Arieh Iserles and
Syvert P. Nòrsett The spectral problem for a class of
highly oscillatory Fredholm integral
operators . . . . . . . . . . . . . . . 108--130
J. C. Butcher Trees, B-series and exponential
integrators . . . . . . . . . . . . . . 131--140
Sohan Dharmaraja and
Yinghui Wang and
Gilbert Strang Optimal stability for
trapezoidal--backward difference
split-steps . . . . . . . . . . . . . . 141--148
Bengt Fornberg and
Natasha Flyer and
Jennifer M. Russell Comparisons between pseudospectral and
radial basis function derivative
approximations . . . . . . . . . . . . . 149--172
A. Gerisch On the approximation and efficient
evaluation of integral terms in PDE
models of cell adhesion . . . . . . . . 173--194
Peter Grindrod and
Desmond J. Higham and
Gabriela Kalna Periodic reordering . . . . . . . . . . 195--207
William McLean and
Vidar Thomée Maximum-norm error analysis of a
numerical solution via Laplace
transformation and quadrature of a
fractional-order evolution equation . . 208--230
K. William Morton The convection--diffusion
Petrov--Galerkin story . . . . . . . . . 231--240
M. R. Osborne Asymptotic behaviour in linear least
squares problems . . . . . . . . . . . . 241--247
Amiya Kumar Pani and
Graeme Fairweather and
Ryan I. Fernandes ADI orthogonal spline collocation
methods for parabolic partial
integro--differential equations . . . . 248--276
George M. Phillips A survey of results on the $q$-Bernstein
polynomials . . . . . . . . . . . . . . 277--288
M. J. D. Powell On the convergence of a wide range of
trust region methods for unconstrained
optimization . . . . . . . . . . . . . . 289--301
S. Shaw and
M. K. Warby and
J. R. Whiteman Discretization error and modelling error
in the context of the rapid inflation of
hyperelastic membranes . . . . . . . . . 302--333
J. A. C. Weideman Improved contour integral methods for
parabolic PDEs . . . . . . . . . . . . . 334--350
Klaus Deckelnick and
Gerhard Dziuk and
Charles M. Elliott and
Claus-Justus Heine An $h$-narrow band finite-element method
for elliptic equations on implicit
surfaces . . . . . . . . . . . . . . . . 351--376
Alexei Bespalov and
Norbert Heuer The $ h p $ version of the boundary
element method with quasi-uniform meshes
for weakly singular operators on
surfaces . . . . . . . . . . . . . . . . 377--400
Christian Pötzsche and
Martin Rasmussen Computation of integral manifolds for
Carathéodory differential equations . . . 401--430
B. Cano and
M. J. Moreta Multistep cosine methods for
second-order partial differential
systems . . . . . . . . . . . . . . . . 431--461
Rodney Taylor and
Vilmos Totik Lebesgue constants for Leja points . . . 462--486
Morgan Pierre Uniform convergence for a finite-element
discretization of a viscous diffusion
equation . . . . . . . . . . . . . . . . 487--511
Marko Huhtanen Rational approximation of the unitary
exponential . . . . . . . . . . . . . . 512--524
B. R. Boutelje and
A. T. Hill Nonautonomous stability of linear
multistep methods . . . . . . . . . . . 525--542
Martin D. Buhmann and
Slawomir Dinew and
Elisabeth Larsson A note on radial basis function
interpolant limits . . . . . . . . . . . 543--554
Kassem Mustapha and
Hussein Mustapha A second-order accurate numerical method
for a semilinear integro-differential
equation with a weakly singular kernel 555--578
Benoit Charbonneau and
Yuriy Svyrydov and
P. F. Tupper Weak convergence in the Prokhorov metric
of methods for stochastic differential
equations . . . . . . . . . . . . . . . 579--594
Alexei Bespalov and
Norbert Heuer Natural $p$-BEM for the electric field
integral equation on screens . . . . . . 595--628
M. Eigel and
E. George and
M. Kirkilionis A mesh-free partition of unity method
for diffusion equations on complex
domains . . . . . . . . . . . . . . . . 629--653
Alfredo Bermúdez and
Carlos Reales and
Rodolfo Rodríguez and
Pilar Salgado Numerical analysis of a finite-element
method for the axisymmetric eddy current
model of an induction furnace . . . . . 654--676
Bangti Jin and
Jun Zou Numerical estimation of the Robin
coefficient in a stationary diffusion
equation . . . . . . . . . . . . . . . . 677--701
Norbert Bauermeister and
Simon Shaw Finite-element approximation of
non-Fickian polymer diffusion . . . . . 702--730
Gang Xie and
Thomas P.-Y. Yu Smoothness equivalence properties of
interpolatory Lie group subdivision
schemes . . . . . . . . . . . . . . . . 731--750
Veerle Ledoux and
Marnix Van Daele and
Guido Vanden Berghe Efficient numerical solution of the
one-dimensional Schrödinger eigenvalue
problem using Magnus integrators . . . . 751--776
Susanne C. Brenner and
Thirupathi Gudi and
Li-yeng Sung An a posteriori error estimator for a
quadratic $ C^0 $-interior penalty
method for the biharmonic problem . . . 777--798
R. Bermejo and
J. Carpio A semi-Lagrangian--Galerkin projection
scheme for convection equations . . . . 799--831
Martin Sauter and
Christian Wieners Robust estimates for the approximation
of the dynamic consolidation problem . . 832--856
Eskil Hansen and
Alexander Ostermann Dimension splitting for quasilinear
parabolic equations . . . . . . . . . . 857--869
Erik Burman and
Peter Hansbo Interior-penalty-stabilized Lagrange
multiplier methods for the
finite-element solution of elliptic
interface problems . . . . . . . . . . . 870--885
Lloyd N. Trefethen Householder triangularization of a
quasimatrix . . . . . . . . . . . . . . 887--897
Ricardo Pachón and
Rodrigo B. Platte and
Lloyd N. Trefethen Piecewise-smooth chebfuns . . . . . . . 898--916
Marco Marletta Neumann--Dirichlet maps and analysis of
spectral pollution for non-self-adjoint
elliptic PDEs with real essential
spectrum . . . . . . . . . . . . . . . . 917--939
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad Rational quadrature formulas on the unit
circle with prescribed nodes and maximal
domain of validity . . . . . . . . . . . 940--963
Stig Larsson and
Fardin Saedpanah The continuous Galerkin method for an
integro-differential equation modeling
dynamic fractional order viscoelasticity 964--986
Tomás P. Barrios and
Rommel Bustinza A priori and a posteriori error analyses
of an augmented discontinuous Galerkin
formulation . . . . . . . . . . . . . . 987--1008
R. Eymard and
T. Gallouët and
R. Herbin Discretization of heterogeneous and
anisotropic diffusion problems on
general nonconforming meshes. Sushi: a
scheme using stabilization and hybrid
interfaces . . . . . . . . . . . . . . . 1009--1043
M. Ili\'c and
I. W. Turner and
D. P. Simpson A restarted Lanczos approximation to
functions of a symmetric matrix . . . . 1044--1061
Franck Boyer and
Florence Hubert and
Stella Krell Nonoverlapping Schwarz algorithm for
solving two-dimensional m-DDFV schemes 1062--1100
C.-S. Huang and
C.-H. Hung and
Song Wang On convergence of a fitted finite-volume
method for the valuation of options on
assets with stochastic volatilities . . 1101--1120
J. Rigoberto Gabriel and
Juan González-Hernández and
Raquiel R. López-Martínez Numerical approximations to the mass
transfer problem on compact spaces . . . 1121--1136
Javier De Frutos and
Bosco García-Archilla and
Julia Novo Accurate approximations to
time-dependent nonlinear
convection--diffusion problems . . . . . 1137--1158
Yaron Lipman and
David Levin Approximating piecewise-smooth functions 1159--1183
S. A. Smitheman and
E. A. Spence and
A. S. Fokas A spectral collocation method for the
Laplace and modified Helmholtz equations
in a convex polygon . . . . . . . . . . 1184--1205
Herbert Egger and
Joachim Schöberl A hybrid mixed discontinuous Galerkin
finite-element method for
convection--diffusion problems . . . . . 1206--1234
Buyang Li and
Weiwei Sun Newton--Cotes rules for Hadamard
finite-part integrals on an interval . . 1235--1255
Nune Hovhannisyan and
Siegfried Müller On the stability of fully adaptive
multiscale schemes for conservation laws
using approximate flux and source
reconstruction strategies . . . . . . . 1256--1295
Snorre H. Christiansen and
Tore Gunnar Halvorsen Discretizing the Maxwell--Klein--Gordon
equation by the lattice gauge theory
formalism . . . . . . . . . . . . . . . 1--24
Carlos Beltrán Estimates on the condition number of
random rank-deficient matrices . . . . . 25--39
Michael Strauss Quadratic projection methods for
approximating the spectrum of
self-adjoint operators . . . . . . . . . 40--60
Claire Chainais-Hillairet and
Jérôme Droniou Finite-volume schemes for noncoercive
elliptic problems with Neumann boundary
conditions . . . . . . . . . . . . . . . 61--85
Catherine Choquet and
Sébastien Zimmermann Analysis of a
finite-volume--finite-element scheme for
a nuclear transport model . . . . . . . 86--115
Laura Gastaldo and
Rapha\`ele Herbin and
Jean-Claude Latché A discretization of the phase mass
balance in fractional step algorithms
for the drift-flux model . . . . . . . . 116--146
Petr Knobloch and
Lutz Tobiska On the stability of finite-element
discretizations of
convection--diffusion--reaction
equations . . . . . . . . . . . . . . . 147--164
Jaeun Ku Pointwise error estimate and asymptotic
error expansion inequalities for a
stabilized Galerkin method . . . . . . . 165--187
Naresh M. Chadha and
Natalia Kopteva A robust grid equidistribution method
for a one-dimensional singularly
perturbed semilinear reaction--diffusion
problem . . . . . . . . . . . . . . . . 188--211
J. A. Mackenzie and
A. Madzvamuse Analysis of stability and convergence of
finite-difference methods for a
reaction--diffusion problem on a
one-dimensional growing domain . . . . . 212--232
Bo\vsko S. Jovanovi\'c and
Lubin G. Vulkov Numerical solution of a parabolic
transmission problem . . . . . . . . . . 233--253
Mark Ainsworth and
Richard Rankin Constant free error bounds for
nonuniform order discontinuous Galerkin
finite-element approximation on locally
refined meshes with hanging nodes . . . 254--280
Emmanuil H. Georgoulis and
Paul Houston and
Juha Virtanen An a posteriori error indicator for
discontinuous Galerkin approximations of
fourth-order elliptic problems . . . . . 281--298
Georgios Akrivis and
Demetrios T. Papageorgiou and
Yiorgos-Sokratis Smyrlis Linearly implicit methods for a
semilinear parabolic system arising in
two-phase flows . . . . . . . . . . . . 299--321
Jin-Hua Wang and
Chong Li Kantorovich's theorems for Newton's
method for mappings and optimization
problems on Lie groups . . . . . . . . . 322--347
Zhengyu Wang and
Ya-xiang Yuan Componentwise error bounds for linear
complementarity problems . . . . . . . . 348--357
Gradimir V. Milovanovi\'c and
Aleksandar S. Cvetkovi\'c Gaussian quadrature rules using function
derivatives . . . . . . . . . . . . . . 358--377
Othmar Koch and
Christian Lubich Variational-splitting time integration
of the multi-configuration
time-dependent Hartree--Fock equations
in electron dynamics . . . . . . . . . . 379--395
Ludwig Gauckler Convergence of a split-step Hermite
method for the Gross--Pitaevskii
equation . . . . . . . . . . . . . . . . 396--415
Irene Kyza and
Charalambos Makridakis and
Michael Plexousakis Error control for time-splitting
spectral approximations of the
semiclassical Schrödinger equation . . . 416--441
Daan Huybrechs and
Arieh Iserles and
Syvert P. Nòrsett From high oscillation to rapid
approximation IV: accelerating
convergence . . . . . . . . . . . . . . 442--468
Haiyong Wang and
Shuhuang Xiang Asymptotic expansion and Filon-type
methods for a Volterra integral equation
with a highly oscillatory kernel . . . . 469--490
Houduo Qi and
Defeng Sun An augmented Lagrangian dual approach
for the $H$-weighted nearest correlation
matrix problem . . . . . . . . . . . . . 491--511
Arnak Poghosyan On an auto-correction phenomenon of the
Krylov--Gottlieb--Eckhoff method . . . . 512--527
Haw-ren Fang Stability analysis of block $ L D L^T $
factorization for symmetric indefinite
matrices . . . . . . . . . . . . . . . . 528--555
F. Guillén-González and
M. V. Redondo-Neble New error estimates for a
viscosity-splitting scheme in time for
the three-dimensional Navier--Stokes
equations . . . . . . . . . . . . . . . 556--579
X. Xu and
W. Huang and
R. D. Russell and
J. F. Williams Convergence of de Boor's algorithm for
the generation of equidistributing
meshes . . . . . . . . . . . . . . . . . 580--596
Sergey I. Repin and
Satyendra K. Tomar Guaranteed and robust error bounds for
nonconforming approximations of elliptic
problems . . . . . . . . . . . . . . . . 597--615
Natalia Kopteva and
Simona Blanca Savescu Pointwise error estimates for a
singularly perturbed time-dependent
semilinear reaction--diffusion problem 616--639
David J. Chappell Convolution quadrature Galerkin boundary
element method for the wave equation
with reduced quadrature weight
computation . . . . . . . . . . . . . . 640--666
Ramiro Acevedo and
Salim Meddahi An E-based mixed FEM and BEM coupling
for a time-dependent eddy current
problem . . . . . . . . . . . . . . . . 667--697
Hermann Brunner and
Hehu Xie and
Ran Zhang Analysis of collocation solutions for a
class of functional equations with
vanishing delays . . . . . . . . . . . . 698--718
Kassem Mustapha An implicit finite-difference
time-stepping method for a sub-diffusion
equation, with spatial discretization by
finite elements . . . . . . . . . . . . 719--739
Martin H. Gutknecht and
Beresford N. Parlett From $ q d $ to $ L R $, or, how were
the $ q d $ and $ L R $ algorithms
discovered? . . . . . . . . . . . . . . 741--754
Daan Huybrechs and
Arieh Iserles and
Syvert P. Nòrsett From high oscillation to rapid
approximation V: the equilateral
triangle . . . . . . . . . . . . . . . . 755--785
Charles M. Elliott and
Björn Stinner and
Vanessa Styles and
Richard Welford Numerical computation of advection and
diffusion on evolving diffuse interfaces 786--812
Robert Eymard and
Angela Handlovi\vcová and
Karol Mikula Study of a finite volume scheme for the
regularized mean curvature flow level
set equation . . . . . . . . . . . . . . 813--846
Christoph Ortner Nonconforming finite-element
discretization of convex variational
problems . . . . . . . . . . . . . . . . 847--864
Adrian T. Hill and
Achim Ilchmann Exponential stability of time-varying
linear systems . . . . . . . . . . . . . 865--885
Rodolfo Araya and
Gabriel R. Barrenechea and
Fabrice Jaillet and
Rodolfo Rodríguez Finite-element analysis of a static
fluid--solid interaction problem . . . . 886--913
Eduardo M. Garau and
Pedro Morin Convergence and quasi-optimality of
adaptive FEM for Steklov eigenvalue
problems . . . . . . . . . . . . . . . . 914--946
Kunibert G. Siebert A convergence proof for adaptive finite
elements without lower bound . . . . . . 947--970
Liang Zhu and
Dominik Schötzau A robust a posteriori error estimate for
$ h p $ adaptive DG methods for
convection--diffusion equations . . . . 971--1005
Kaixin Wang and
Hong Wang Uniform estimates for a family of
Eulerian--Lagrangian methods for
time-dependent convection--diffusion
equations with degenerate diffusion . . 1006--1037
Min Yang and
Jiangguo Liu A quadratic finite volume element method
for parabolic problems on quadrilateral
meshes . . . . . . . . . . . . . . . . . 1038--1061
Chunjia Bi and
Victor Ginting Finite-volume-element method for
second-order quasilinear elliptic
problems . . . . . . . . . . . . . . . . 1062--1089
Simone Cifani and
Espen R. Jakobsen and
Kenneth H. Karlsen The discontinuous Galerkin method for
fractal conservation laws . . . . . . . 1090--1122
Mark D. Preston and
Peter G. Chamberlain and
Simon N. Chandler-Wilde A Nyström method for a boundary value
problem arising in unsteady water wave
problems . . . . . . . . . . . . . . . . 1123--1153
Da Xu Uniform $ l_1 $ behaviour in a
second-order difference-type method for
a linear Volterra equation with
completely monotonic kernel I: stability 1154--1180
Rafael G. Campos and
Francisco Domínguez Mota and
E. Coronado Quadrature formulas for integral
transforms generated by orthogonal
polynomials . . . . . . . . . . . . . . 1181--1193
Amparo Gil and
Javier Segura and
Nico M. Temme Fast and accurate computation of the
Weber parabolic cylinder function $ W(a,
x) $ . . . . . . . . . . . . . . . . . . 1194--1216
W. M. Dumas and
M. V. Tretyakov Computing conditional Wiener integrals
of functionals of a general form . . . . 1217--1251
V. Domínguez and
I. G. Graham and
V. P. Smyshlyaev Stability and error estimates for
Filon--Clenshaw--Curtis rules for highly
oscillatory integrals . . . . . . . . . 1253--1280
Shuhuang Xiang and
Yeol Je Cho and
Haiyong Wang and
Hermann Brunner Clenshaw--Curtis--Filon-type methods for
highly oscillatory Bessel transforms and
applications . . . . . . . . . . . . . . 1281--1314
Stig Larsson and
Ali Mesforush Finite-element approximation of the
linearized Cahn--Hilliard--Cook equation 1315--1333
Andrea Bressan Isogeometric regular discretization for
the Stokes problem . . . . . . . . . . . 1334--1356
Beirão da Veiga and
Jérôme Droniou and
Gianmarco Manzini A unified approach for handling
convection terms in finite volumes and
mimetic discretization methods for
elliptic problems . . . . . . . . . . . 1357--1401
Javier de Frutos and
Bosco García-Archilla and
Julia Novo Nonlinear convection-diffusion problems:
fully discrete approximations and a
posteriori error estimates . . . . . . . 1402--1430
Silvia Bonettini Inexact block coordinate descent methods
with application to non-negative matrix
factorization . . . . . . . . . . . . . 1431--1452
Tiexiang Li and
Eric King-Wah Chu and
Jong Juang and
Wen-Wei Lin Solution of a nonsymmetric algebraic
Riccati equation from a one-dimensional
multistate transport model . . . . . . . 1453--1467
John R. Singler Convergent snapshot algorithms for
infinite-dimensional Lyapunov equations 1468--1496
Melvin Leok and
Jingjing Zhang Discrete Hamiltonian variational
integrators . . . . . . . . . . . . . . 1497--1532
Jan Cermák The stability and asymptotic properties
of the $ \Theta $-methods for the
pantograph equation . . . . . . . . . . 1533--1551
Siu A. Chin and
Jürgen Geiser Multi-product operator splitting as a
general method of solving autonomous and
nonautonomous equations . . . . . . . . 1552--1577
Rodrigo B. Platte How fast do radial basis function
interpolants of analytic functions
converge? . . . . . . . . . . . . . . . 1578--1597
Jinhai Chen and
Matthias Gerdts Numerical solution of control-state
constrained optimal control problems
with an inexact smoothing Newton method 1598--1624
Qingna Li and
Dong-Hui Li A class of derivative-free methods for
large-scale nonlinear monotone equations 1625--1635
Anahí Dello Russo and
Ana Alonso Hybrid finite element analysis of
fluid-structure systems with coupling on
curved interfaces . . . . . . . . . . . 1636--1682
Ariel L. Lombardi Interpolation error estimates for edge
elements on anisotropic meshes . . . . . 1683--1712
Stephane Durand and
Marián Slodicka Fully discrete finite element method for
Maxwell's equations with nonlinear
conductivity . . . . . . . . . . . . . . 1713--1733
Thirupathi Gudi and
Michael Neilan An interior penalty method for a
sixth-order elliptic equation . . . . . 1734--1753
Fei Wang and
Weimin Han and
Xiaoliang Cheng Discontinuous Galerkin methods for
solving the Signorini problem . . . . . 1754--1772
J. Manuel Cascón and
Ricardo H. Nochetto Quasioptimal cardinality of Afem driven
by nonresidual estimators . . . . . . . 1--29
Andreas Veeser and
Rüdiger Verfürth Poincaré constants for finite element
stars . . . . . . . . . . . . . . . . . 30--47
Paul Houston and
Thomas P. Wihler Second-order elliptic PDEs with
discontinuous boundary data . . . . . . 48--74
Nabi Chegini and
Rob Stevenson The adaptive tensor product wavelet
scheme: sparse matrices and the
application to singularly perturbed
problems . . . . . . . . . . . . . . . . 75--104
Ben Adcock and
Arieh Iserles and
Syvert P. Nòrsett From high oscillation to rapid
approximation II: expansions in Birkhoff
series . . . . . . . . . . . . . . . . . 105--140
Fotini Karakatsani A posteriori error estimates for the
fractional-step $ \vartheta $-scheme for
linear parabolic equations . . . . . . . 141--162
Lei-Hong Zhang and
Moody T. Chu Computing absolute maximum correlation 163--184
Joseph Páez Chávez Discretizing dynamical systems with
Hopf--Hopf bifurcations . . . . . . . . 185--201
Silvia Falletta and
Giovanni Monegato and
Letizia Scuderi A space--time Bie method for
nonhomogeneous exterior wave equation
problems. The Dirichlet case . . . . . . 202--226
Caihua Chen and
Bingsheng He and
Xiaoming Yuan Matrix completion via an alternating
direction method . . . . . . . . . . . . 227--245
Omar Lakkis and
Tristan Pryer Gradient recovery in adaptive
finite-element methods for parabolic
problems . . . . . . . . . . . . . . . . 246--278
Mun Bae Lee and
Yeon Ju Lee and
Jungho Yoon Sobolev-type $ L_p $-approximation
orders of radial basis function
interpolation to functions in fractional
Sobolev spaces . . . . . . . . . . . . . 279--293
Claude Jeffrey Gittelson Representation of Gaussian fields in
series with independent coefficients . . 294--319
Y. Huang and
P. A. Forsyth Analysis of a penalty method for pricing
a guaranteed minimum withdrawal benefit
(GMWB) . . . . . . . . . . . . . . . . . 320--351
J. Gopalakrishnan and
J. Guzmán A second elasticity element using the
matrix bubble . . . . . . . . . . . . . 352--372
Xingjie Helen Li and
Mitchell Luskin A generalized quasinonlocal
atomistic-to-continuum coupling method
with finite-range interaction . . . . . 373--393
G. Dziuk and
Ch. Lubich and
D. Mansour Runge--Kutta time discretization of
parabolic differential equations on
evolving surfaces . . . . . . . . . . . 394--416
Mark Ainsworth and
Alejandro Allendes and
Gabriel R. Barrenechea and
Richard Rankin Computable error bounds for
nonconforming Fortin--Soulie finite
element approximation of the Stokes
problem . . . . . . . . . . . . . . . . 417--447
Nilima Nigam and
Joel Phillips High-order conforming finite elements on
pyramids . . . . . . . . . . . . . . . . 448--483
Liudmila Belenki and
Lars Diening and
Christian Kreuzer Optimality of an adaptive finite element
method for the $p$-Laplacian equation 484--510
R. G. Durán and
A. L. Lombardi and
M. I. Prieto Superconvergence for finite element
approximation of a convection-diffusion
equation using graded meshes . . . . . . 511--533
Gabriel N. Gatica and
Salim Meddahi Finite element analysis of a time
harmonic Maxwell problem with an
impedance boundary condition . . . . . . 534--552
José Luis Morales and
Jorge Nocedal and
Yuchen Wu A sequential quadratic programming
algorithm with an additional equality
constrained phase . . . . . . . . . . . 553--579
Nicholas I. M. Gould and
Daniel P. Robinson A second-derivative SQP method with a
`trust-region-free' predictor step . . . 580--601
Avram Sidi A user-friendly extrapolation method for
computing infinite range integrals of
products of oscillatory functions . . . 602--631
Shu-Lin Wu and
Cheng-Ming Huang and
Ting-Zhu Huang Convergence analysis of the overlapping
Schwarz waveform relaxation algorithm
for reaction-diffusion equations with
time delay . . . . . . . . . . . . . . . 632--671
Gustavo C. Buscaglia and
Abdellatif Agouzal Interpolation estimate for a
finite-element space with embedded
discontinuities . . . . . . . . . . . . 672--686
Gang Xie and
Thomas P.-Y. Yu Approximation order equivalence
properties of manifold-valued data
subdivision schemes . . . . . . . . . . 687--700
Son Luu Nguyen and
G. Yin Pathwise convergence rate for numerical
solutions of stochastic differential
equations . . . . . . . . . . . . . . . 701--723
Kenneth H. Karlsen and
Trygve K. Karper A convergent mixed method for the Stokes
approximation of viscous compressible
flow . . . . . . . . . . . . . . . . . . 725--764
Bernardo Cockburn and
Francisco-Javier Sayas The devising of symmetric couplings of
boundary element and discontinuous
Galerkin methods . . . . . . . . . . . . 765--794
L. Robert Hocking and
Chen Greif Closed-form multigrid smoothing factors
for lexicographic Gauss--Seidel . . . . 795--812
Armin Lechleiter and
Dinh Liem Nguyen Spectral volumetric integral equation
methods for acoustic medium scattering
in a $3$D waveguide . . . . . . . . . . 813--844
Gabriel N. Gatica and
Ricardo Oyarzúa and
Francisco-Javier Sayas A twofold saddle point approach for the
coupling of fluid flow with nonlinear
porous media flow . . . . . . . . . . . 845--887
J. A. Mackenzie and
W. R. Mekwi An unconditionally stable second-order
accurate Ale-Fem scheme for
two-dimensional convection-diffusion
problems . . . . . . . . . . . . . . . . 888--905
Kassem Mustapha and
William McLean Uniform convergence for a discontinuous
Galerkin, time-stepping method applied
to a fractional diffusion equation . . . 906--925
V. A. Bokil and
N. L. Gibson Analysis of spatial high-order finite
difference methods for Maxwell's
equations in dispersive media . . . . . 926--956
Xiaojun Chen and
Zhengyu Wang Computational error bounds for a
differential linear variational
inequality . . . . . . . . . . . . . . . 957--982
Davoud Mirzaei and
Robert Schaback and
Mehdi Dehghan On generalized moving least squares and
diffuse derivatives . . . . . . . . . . 983--1000
Alfredo Bermúdez and
Bibiana López-Rodríguez and
Rodolfo Rodríguez and
Pilar Salgado Numerical solution of transient eddy
current problems with input current
intensities as boundary data . . . . . . 1001--1029
Dimitri Breda and
Rossana Vermiglio and
Stefano Maset Computing the eigenvalues of
Gurtin--MacCamy models with diffusion 1030--1050
Andrew D. Gordon and
Catherine E. Powell On solving stochastic collocation
systems with algebraic multigrid . . . . 1051--1070
Concetta Laurita A quadrature method for Cauchy singular
integral equations with index $ - 1 $ 1071--1095
Froilán M. Dopico and
Juan M. Molera Accurate solution of structured linear
systems via rank-revealing
decompositions . . . . . . . . . . . . . 1096--1116
Hermann Brunner and
Penny J. Davies and
Dugald B. Duncan Global convergence and local
superconvergence of first-kind Volterra
integral equation approximations . . . . 1117--1146
Faker Ben Belgacem and
Christine Bernardi and
Adel Blouza and
Martin Vohralík On the unilateral contact between
membranes. Part 2: a posteriori analysis
and numerical experiments . . . . . . . 1147--1172
U. Koley and
S. Mishra and
N. H. Risebro and
M. Svärd Higher-order finite difference schemes
for the magnetic induction equations
with resistivity . . . . . . . . . . . . 1173--1193
Melvin Leok and
Tatiana Shingel Prolongation-collocation variational
integrators . . . . . . . . . . . . . . 1194--1216
Lehel Banjai and
Daniel Peterseim Parallel multistep methods for linear
evolution problems . . . . . . . . . . . 1217--1240
Eric T. Chung and
Chak Shing Lee A staggered discontinuous Galerkin
method for the curl-curl operator . . . 1241--1265
Yanlai Chen and
Bernardo Cockburn Analysis of variable-degree Hdg methods
for convection-diffusion equations. Part
I: general nonconforming meshes . . . . 1267--1293
Xiong Meng and
Chi-Wang Shu and
Boying Wu Superconvergence of the local
discontinuous Galerkin method for linear
fourth-order time-dependent problems in
one space dimension . . . . . . . . . . 1294--1328
Yongke Wu and
Long Chen and
Xiaoping Xie and
Jinchao Xu Convergence analysis of $V$-Cycle
multigrid methods for anisotropic
elliptic equations . . . . . . . . . . . 1329--1347
M. Ganesh and
S. C. Hawkins and
R. Hiptmair Convergence analysis with parameter
estimates for a reduced basis acoustic
scattering $T$-matrix method . . . . . . 1348--1374
Christian Kreuzer and
Christian A. Möller and
Alfred Schmidt and
Kunibert G. Siebert Design and convergence analysis for an
adaptive discretization of the heat
equation . . . . . . . . . . . . . . . . 1375--1403
Franck Boyer Analysis of the upwind finite volume
method for general initial- and
boundary-value transport problems . . . 1404--1439
Frédéric Coquel and
Marie Postel and
Quang-Huy Tran Convergence of time-space adaptive
algorithms for nonlinear conservation
laws . . . . . . . . . . . . . . . . . . 1440--1483
Guzmán Johnny and
Neilan Michael A family of nonconforming elements for
the Brinkman problem . . . . . . . . . . 1484--1508
Carlos D. Acosta and
Raimund Bürger Difference schemes stabilized by
discrete mollification for degenerate
parabolic equations in two space
dimensions . . . . . . . . . . . . . . . 1509--1540
István Faragó and
János Karátson and
Sergey Korotov Discrete maximum principles for
nonlinear parabolic PDE systems . . . . 1541--1573
Boris Andreianov and
Mostafa Bendahmane and
Florence Hubert and
Stella Krell On $3$D DDFV discretization of gradient
and divergence operators. I. Meshing,
operators and discrete duality . . . . . 1574--1603
Adrian Hirn and
Martin Lanzendörfer and
Jan Stebel Finite element approximation of flow of
fluids with shear-rate- and
pressure-dependent viscosity . . . . . . 1604--1634
Richard A. Norton and
Endre Süli Finite element approximation of an $ H^1
$ gradient flow of a double-well
potential with bending energy . . . . . 1635--1661
C. Cartis and
N. I. M. Gould and
Ph. L. Toint An adaptive cubic regularization
algorithm for nonconvex optimization
with convex constraints and its
function-evaluation complexity . . . . . 1662--1695
Orizon P. Ferreira and
Roberto C. M. Silva Local convergence of Newton's method
under a majorant condition in Riemannian
manifolds . . . . . . . . . . . . . . . 1696--1713
Bangti Jin and
Yubo Zhao and
Jun Zou Iterative parameter choice by
discrepancy principle . . . . . . . . . 1714--1732
Aleksandar V. Pejcev and
Miodrag M. Spalevi\'c Error bounds for Gaussian quadrature
formulae with Bernstein--Szeg\Ho weights
that are rational modifications of
Chebyshev weight functions of the second
kind . . . . . . . . . . . . . . . . . . 1733--1754
Qingguang Guan and
Ran Zhang and
Yongkui Zou Analysis of collocation solutions for
nonstandard Volterra integral equations 1755--1785
Jean-Pierre Dedieu and
Gregorio Malajovich and
Michael Shub Adaptive step-size selection for
homotopy methods to solve polynomial
equations . . . . . . . . . . . . . . . 1--29
Matthew Dobson and
Claude Le Bris and
Frédéric Legoll Symplectic schemes for highly
oscillatory Hamiltonian systems: the
homogenization approach beyond the
constant frequency case . . . . . . . . 30--56
Ernst Hairer and
Christophe J. Zbinden On conjugate symplecticity of $B$-series
integrators . . . . . . . . . . . . . . 57--79
N. Bou-Rabee and
M. Hairer Nonasymptotic mixing of the MALA
algorithm . . . . . . . . . . . . . . . 80--110
S. Maset and
M. Zennaro Stability properties of explicit
exponential Runge--Kutta methods . . . . 111--135
Gennady Yu. Kulikov Cheap global error estimation in some
Runge--Kutta pairs . . . . . . . . . . . 136--163
Snorre H. Christiansen and
Ragnar Winther On variational eigenvalue approximation
of semidefinite operators . . . . . . . 164--189
Christine Bernardi and
Frédéric Hecht and
Hervé Le Dret and
Adel Blouza A posteriori analysis of a finite
element discretization of a Naghdi shell
model . . . . . . . . . . . . . . . . . 190--211
Emmanuel Creusé and
Serge Nicaise A posteriori error estimator based on
gradient recovery by averaging for
convection-diffusion-reaction problems
approximated by discontinuous Galerkin
methods . . . . . . . . . . . . . . . . 212--241
Roman Andreev Stability of sparse space--time finite
element discretizations of linear
parabolic evolution equations . . . . . 242--260
C. Pozzolini and
Y. Renard and
M. Salaun Vibro-impact of a plate on rigid
obstacles: existence theorem,
convergence of a scheme and numerical
simulations . . . . . . . . . . . . . . 261--294
F. Dardalhon and
J.-C. Latché and
S. Minjeaud Analysis of a projection method for
low-order nonconforming finite elements 295--317
Mario Arioli and
Drosos Kourounis and
Daniel Loghin Discrete fractional Sobolev norms for
domain decomposition preconditioning . . 318--342
Zhong-Zhi Bai and
Michele Benzi and
Fang Chen and
Zeng-Qi Wang Preconditioned MHSS iteration methods
for a class of block two-by-two linear
systems with applications to distributed
control problems . . . . . . . . . . . . 343--369
Claudio G. Carvalhaes Spline interpolation on nonunisolvent
sets . . . . . . . . . . . . . . . . . . 370--375
Charles M. Elliott and
Thomas Ranner Finite element analysis for a coupled
bulk-surface partial differential
equation . . . . . . . . . . . . . . . . 377--402
Folkmar Bornemann and
Georg Wechslberger Optimal contours for high-order
derivatives . . . . . . . . . . . . . . 403--412
Stéphane Lanteri and
Claire Scheid Convergence of a discontinuous Galerkin
scheme for the mixed time-domain
Maxwell's equations in dispersive media 432--459
Martin Viscor and
Martin Stynes A robust finite difference method for a
singularly perturbed degenerate
parabolic problem II . . . . . . . . . . 460--480
Bart Vandereycken and
P.-A. Absil and
Stefan Vandewalle A Riemannian geometry with complete
geodesics for the set of positive
semidefinite matrices of fixed rank . . 481--514
Gabriel J. Lord and
Antoine Tambue Stochastic exponential integrators for
the finite element discretization of
SPDEs for multiplicative and additive
noise . . . . . . . . . . . . . . . . . 515--543
Christoph Reisinger Analysis of linear difference schemes in
the sparse grid combination technique 544--581
R. Eymard and
C. Guichard and
R. Masson Grid orientation effect in coupled
finite volume schemes . . . . . . . . . 582--608
J. M. Melenk and
C. Xenophontos and
L. Oberbroeckling Robust exponential convergence of hp FEM
for singularly perturbed
reaction-diffusion systems with multiple
scales . . . . . . . . . . . . . . . . . 609--628
Andrea Bressan and
Giancarlo Sangalli Isogeometric discretizations of the
Stokes problem: stability analysis by
the macroelement technique . . . . . . . 629--651
Clemens Pechstein and
Robert Scheichl Weighted Poincaré inequalities . . . . . 652--686
Herbert Egger and
Christian Waluga $ h p $ analysis of a hybrid DG method
for Stokes flow . . . . . . . . . . . . 687--721
Stéphane Descombes and
Mechthild Thalhammer The Lie--Trotter splitting for nonlinear
evolutionary problems with critical
parameters: a compact local error
representation and application to
nonlinear Schrödinger equations in the
semiclassical regime . . . . . . . . . . 722--745
Sören Bartels A simple scheme for the approximation of
the elastic flow of inextensible curves 1115--1125
Luise Blank and
Harald Garcke and
Lavinia Sarbu and
Vanessa Styles Nonlocal Allen--Cahn systems: analysis
and a primal-dual active set method . . 1126--1155
Maria Lopez-Fernandez and
Stefan Sauter Generalized convolution quadrature with
variable time stepping . . . . . . . . . 1156--1175
Yassine Boubendir and
Catalin Turc Wave-number estimates for regularized
combined field boundary integral
operators in acoustic scattering
problems with Neumann boundary
conditions . . . . . . . . . . . . . . . 1176--1225
Carsten Gräser and
Ralf Kornhuber and
Uli Sack Time discretizations of anisotropic
Allen--Cahn equations . . . . . . . . . 1226--1244
Emmanuil H. Georgoulis and
Omar Lakkis and
Charalambos Makridakis A posteriori $ L^\infty (L^2) $-error
bounds for finite element approximations
to the wave equation . . . . . . . . . . 1245--1264
H. Fritz Isoparametric finite element
approximation of Ricci curvature . . . . 1265--1290
Nour Eddine Alaa and
Morgan Pierre Convergence to equilibrium for
discretized gradient-like systems with
analytic features . . . . . . . . . . . 1291--1321
Andreas Asheim and
Daan Huybrechs Complex Gaussian quadrature for
oscillatory integral transforms . . . . 1322--1341
Min Yang and
Jiangguo Liu and
Yanping Lin Quadratic finite-volume methods for
elliptic and parabolic problems on
quadrilateral meshes: optimal-order
errors based on Barlow points . . . . . 1342--1364
Christian Lubich and
Dhia Mansour and
Chandrasekhar Venkataraman Backward difference time discretization
of parabolic differential equations on
evolving surfaces . . . . . . . . . . . 1365--1385
Scott Congreve and
Paul Houston and
Endre Süli and
Thomas P. Wihler Discontinuous Galerkin finite element
approximation of quasilinear elliptic
boundary value problems II: strongly
monotone quasi-Newtonian flows . . . . . 1386--1415
Roberta De Asmundis and
Daniela di Serafino and
Filippo Riccio and
Gerardo Toraldo On spectral properties of steepest
descent methods . . . . . . . . . . . . 1416--1435
Nir Sharon and
Uri Itai Approximation schemes for functions of
positive-definite matrix values . . . . 1436--1468
Jie Liu A mass-preserving splitting scheme for
the stochastic Schrödinger equation with
multiplicative noise . . . . . . . . . . 1469--1479
Shuhuang Xiang and
Yeol Je Cho and
Haiyong Wang and
Hermann Brunner Erratum to
``Clenshaw--Curtis--Filon-type methods
for highly oscillatory Bessel transforms
and applications'' (IMA Journal of
Numerical Analysis (2011) \bf
31:1281--1314) . . . . . . . . . . . . . 1480--1483
J. M. Melenk and
H. Rezaijafari and
B. Wohlmuth Quasi-optimal a priori estimates for
fluxes in mixed finite element methods
and an application to the Stokes--Darcy
coupling . . . . . . . . . . . . . . . . 1--27
Michael Griebel and
Helmut Harbrecht Approximation of bi-variate functions:
singular value decomposition versus
sparse grids . . . . . . . . . . . . . . 28--54
Bernd Brumm and
Daniel Weiss Heterogeneous multiscale methods for
highly oscillatory mechanical systems
with solution-dependent frequencies . . 55--82
Gabriel Acosta and
María G. Armentano Eigenvalue problems in a non-Lipschitz
domain . . . . . . . . . . . . . . . . . 83--95
Marianne Bessemoulin-Chatard and
Ansgar Jüngel A finite volume scheme for a
Keller--Segel model with additional
cross-diffusion . . . . . . . . . . . . 96--122
Andreas Brenner and
Eberhard Bänsch and
Markus Bause A priori error analysis for finite
element approximations of the Stokes
problem on dynamic meshes . . . . . . . 123--146
M. Krivko and
M. V. Tretyakov Numerical integration of the
Heath--Jarrow--Morton model of interest
rates . . . . . . . . . . . . . . . . . 147--196
Lori Badea Global convergence rate of a standard
multigrid method for variational
inequalities . . . . . . . . . . . . . . 197--216
Raphael Kruse Optimal error estimates of Galerkin
finite element methods for stochastic
partial differential equations with
multiplicative noise . . . . . . . . . . 217--251
Mohan K. Kadalbajoo and
Lok Pati Tripathi and
Puneet Arora A robust nonuniform B-spline collocation
method for solving the generalized
Black--Scholes equation . . . . . . . . 252--278
Jintao Cui and
Wujun Zhang An analysis of HDG methods for the
Helmholtz equation . . . . . . . . . . . 279--295
K. J. in 't Hout and
K. Volders Stability and convergence analysis of
discretizations of the Black--Scholes
PDE with the linear boundary condition 296--325
Ana I. Garralda-Guillem and
Manuel Ruiz Galán and
Gabriel N. Gatica and
Antonio Márquez A posteriori error analysis of twofold
saddle point variational formulations
for nonlinear boundary value problems 326--361
Yung-Wei Chen and
Chun-Ming Chang and
Chein-Shan Liu and
Jiang-Ren Chang Application of a modified manifold-based
exponentially convergent algorithm to
solve elliptic boundary-value problems 362--389
S. Falletta and
G. Monegato and
L. Scuderi A space--time BIE method for wave
equation problems: the (two-dimensional)
Neumann case . . . . . . . . . . . . . . 390--434
Arieh Iserles On skew-symmetric differentiation
matrices . . . . . . . . . . . . . . . . 435--451
Ernst Hairer and
Christian Lubich Energy-diminishing integration of
gradient systems . . . . . . . . . . . . 452--461
David Titley-Peloquin and
Jennifer Pestana and
Andrew J. Wathen GMRES convergence bounds that depend on
the right-hand-side vector . . . . . . . 462--479
Daniel Kressner and
Emre Mengi and
Ivica Naki\'c and
Ninoslav Truhar Generalized eigenvalue problems with
specified eigenvalues . . . . . . . . . 480--501
L\uubomír Ba\unas and
Zdzislaw Brze\'zniak and
Mikhail Neklyudov and
Andreas Prohl A convergent finite-element-based
discretization of the stochastic
Landau--Lifshitz--Gilbert equation . . . 502--549
R. K. Beatson and
Wolfgang zu Castell and
Yuan Xu A Pólya criterion for (strict)
positive-definiteness on the sphere . . 550--568
A. Chernih and
Q. T. Le Gia Multiscale methods with compactly
supported radial basis functions for
Galerkin approximation of elliptic PDEs 569--591
Hehu Xie A type of multilevel method for the
Steklov eigenvalue problem . . . . . . . 592--608
Charles Fulton and
David Pearson and
Steven Pruess Estimating spectral density functions
for Sturm--Liouville problems with two
singular endpoints . . . . . . . . . . . 609--650
G. Criscuolo Numerical evaluation of certain strongly
singular integrals . . . . . . . . . . . 651--674
S. Sauter and
A. Veit Retarded boundary integral equations on
the sphere: exact and numerical solution 675--699
T. Betcke and
J. Phillips and
E. A. Spence Spectral decompositions and nonnormality
of boundary integral operators in
acoustic scattering . . . . . . . . . . 700--731
Maxim A. Olshanskii and
Arnold Reusken and
Xianmin Xu A stabilized finite element method for
advection-diffusion equations on
surfaces . . . . . . . . . . . . . . . . 732--758
Lourenco Beirão da Veiga and
Gianmarco Manzini A virtual element method with arbitrary
regularity . . . . . . . . . . . . . . . 759--781
Lars Ludwig and
Hans-Görg Roos Finite element superconvergence on
Shishkin meshes for convection-diffusion
problems with corner singularities . . . 782--799
S. Badia and
R. Codina and
T. Gudi and
J. Guzmán Error analysis of discontinuous Galerkin
methods for the Stokes problem under
minimal regularity . . . . . . . . . . . 800--819
Václav Kucera On diffusion-uniform error estimates for
the DG method applied to singularly
perturbed problems . . . . . . . . . . . 820--861
Rob P. Stevenson First-order system least squares with
inhomogeneous boundary conditions . . . 863--878
Claudio Canuto and
Luca F. Pavarino and
Alexandre B. Pieri BDDC preconditioners for continuous and
discontinuous Galerkin methods using
spectral/$ h p $ elements with variable
local polynomial degree . . . . . . . . 879--903
Valeria Simoncini and
Daniel B. Szyld and
Marlliny Monsalve On two numerical methods for the
solution of large-scale algebraic
Riccati equations . . . . . . . . . . . 904--920
Daniel B. Szyld and
Fei Xue Several properties of invariant pairs of
nonlinear algebraic eigenvalue problems 921--954
Richard O. Akinola and
Melina A. Freitag and
Alastair Spence The computation of Jordan blocks in
parameter-dependent matrices . . . . . . 955--976
Christoph Ortner and
Hao Wang A posteriori error control for a
quasi-continuum approximation of a
periodic chain . . . . . . . . . . . . . 977--1001
Christine Bernardi and
Linda El Alaoui and
Zoubida Mghazli A posteriori analysis of a space and
time discretization of a nonlinear model
for the flow in partially saturated
porous media . . . . . . . . . . . . . . 1002--1036
François Bouchut and
David Doyen and
Robert Eymard Convection and total variation flow . . 1037--1071
Lise-Marie Imbert-Gérard and
Bruno Després A generalized plane-wave numerical
method for smooth nonconstant
coefficients . . . . . . . . . . . . . . 1072--1103
Ricardo Oyarzúa and
Tong Qin and
Dominik Schötzau An exactly divergence-free finite
element method for a generalized
Boussinesq problem . . . . . . . . . . . 1104--1135
Lehel Banjai Time-domain Dirichlet-to-Neumann map and
its discretization . . . . . . . . . . . 1136--1155
Christoph Reisinger and
Alan Whitley The impact of a natural time change on
the convergence of the Crank--Nicolson
scheme . . . . . . . . . . . . . . . . . 1156--1192
Santiago Badia and
Juan Vicente Gutiérrez-Santacreu Convergence towards weak solutions of
the Navier--Stokes equations for a
finite element approximation with
numerical subgrid-scale modelling . . . 1193--1221
Jochen Schütz and
Georg May An adjoint consistency analysis for a
class of hybrid mixed methods . . . . . 1222--1239
Abderrahmane Bendali and
Yassine Boubendir and
Nicolas Zerbib Localized adaptive radiation condition
for coupling boundary and finite element
methods applied to wave propagation
problems . . . . . . . . . . . . . . . . 1240--1265
Haijun Wu Pre-asymptotic error analysis of
CIP--FEM and FEM for the Helmholtz
equation with high wave number. Part I:
linear version . . . . . . . . . . . . . 1266--1288
John W. Barrett and
Harald Garcke and
Robert Nürnberg Stable phase field approximations of
anisotropic solidification . . . . . . . 1289--1327
Francesca Bonizzoni and
Annalisa Buffa and
Fabio Nobile Moment equations for the mixed
formulation of the Hodge Laplacian with
stochastic loading term . . . . . . . . 1328--1360
Lubomír Banas and
Marcus Page and
Dirk Praetorius and
Jonathan Rochat A decoupled and unconditionally
convergent linear FEM integrator for the
Landau--Lifshitz--Gilbert equation with
magnetostriction . . . . . . . . . . . . 1361--1385
B. Cockburn and
O. Dubois and
J. Gopalakrishnan and
S. Tan Multigrid for an HDG method . . . . . . 1386--1425
Kassem Mustapha and
Dominik Schötzau Well-posedness of $ h p$-version
discontinuous Galerkin methods for
fractional diffusion wave equations . . 1426--1446
Lars Diening and
Dietmar Kröner and
Michael Ruzicka and
Ioannis Toulopoulos A local discontinuous Galerkin
approximation for systems with
$p$-structure . . . . . . . . . . . . . 1447--1488
Johnny Guzmán and
Michael Neilan Conforming and divergence-free Stokes
elements in three dimensions . . . . . . 1489--1508
Oana Marin and
Olof Runborg and
Anna-Karin Tornberg Corrected trapezoidal rules for a class
of singular functions . . . . . . . . . 1509--1540
Matthew Dobson There is no pointwise consistent
quasicontinuum energy . . . . . . . . . 1541--1553
Martin Stoll One-shot solution of a time-dependent
time-periodic PDE-constrained
optimization problem . . . . . . . . . . 1554--1577
Andrea Cangiani and
Emmanuil H. Georgoulis and
Stephen Metcalfe Adaptive discontinuous Galerkin methods
for nonstationary convection-diffusion
problems . . . . . . . . . . . . . . . . 1578--1597
Christian Henke and
Lutz Angermann $ L^\infty (L^\infty) $-boundedness and
convergence of $ {\rm DG}(p) $ solutions
for nonlinear conservation laws with
boundary conditions . . . . . . . . . . 1598--1624
T. Arbogast and
D. Estep and
B. Sheehan and
S. Tavener A posteriori error estimates for mixed
finite element and finite volume methods
for problems coupled through a boundary
with nonmatching grids . . . . . . . . . 1625--1653
Giuseppe Mastroianni and
Incoronata Notarangelo and
Gradimir V. Milovanovi\'c Gaussian quadrature rules with an
exponential weight on the real semiaxis 1654--1685
Minah Oh A new approach to the analysis of
axisymmetric problems . . . . . . . . . 1686--1700
T. Sorokina Redundancy of smoothness conditions and
supersmoothness of bivariate splines . . 1701--1714
John W. Barrett and
Leonid Prigozhin Sandpiles and superconductors:
nonconforming linear finite element
approximations for mixed formulations of
quasi-variational inequalities . . . . . 1--38
Dirk Broersen and
Rob P. Stevenson A Petrov--Galerkin discretization with
optimal test space of a mild-weak
formulation of convection-diffusion
equations in mixed form . . . . . . . . 39--73
Dennis Cheung and
Felipe Cucker Smoothed analysis of componentwise
condition numbers for sparse matrices 74--88
Antonella Zanna Explicit volume-preserving splitting
methods for divergence-free ODEs by
tensor-product basis decompositions . . 89--106
Nicola Mastronardi and
Paul Van Dooren A structurally backward stable algorithm
for solving the indefinite least squares
problem with equality constraints . . . 107--132
Assyr Abdulle and
Yun Bai Fully discrete analysis of the
heterogeneous multiscale method for
elliptic problems with multiple scales 133--160
Erwan Faou and
Alexander Ostermann and
Katharina Schratz Analysis of exponential splitting
methods for inhomogeneous parabolic
equations . . . . . . . . . . . . . . . 161--178
Christine Bernardi and
Toni Sayah A posteriori error analysis of the
time-dependent Stokes equations with
mixed boundary conditions . . . . . . . 179--198
Mira Bozzini and
Licia Lenarduzzi and
Milvia Rossini and
Robert Schaback Interpolation with variably scaled
kernels . . . . . . . . . . . . . . . . 199--219
Gustavo C. Buscaglia and
Vitoriano Ruas Finite element methods for the Stokes
system with interface pressure
discontinuities . . . . . . . . . . . . 220--238
Gunar Matthies and
Lutz Tobiska Local projection type stabilization
applied to inf-sup stable
discretizations of the Oseen problem . . 239--269
Chun-Hua Guo and
Changli Liu and
Jungong Xue Performance enhancement of doubling
algorithms for a class of complex
nonsymmetric algebraic Riccati equations 270--288
Nick Vannieuwenhoven and
Raf Vandebril and
Karl Meerbergen A randomized algorithm for testing
nonsingularity of structured matrices
with an application to asserting
nondefectivity of Segr\`e varieties . . 289--324
Carlos M. Alaíz and
Francesco Dinuzzo and
Suvrit Sra Correlation matrix nearness and
completion under observation uncertainty 325--340
G. Murali Mohan Reddy and
Rajen K. Sinha Ritz--Volterra reconstructions and a
posteriori error analysis of finite
element method for parabolic
integro-differential equations . . . . . 341--371
Jerzy Czepiel and
Piotr Kalita Numerical solution of a
variational-hemivariational inequality
modelling simplified adhesion of an
elastic body . . . . . . . . . . . . . . 372--393
Bingsheng He and
Min Tao and
Xiaoming Yuan A splitting method for separable convex
programming . . . . . . . . . . . . . . 394--426
Michel Salaün and
Stéphanie Salmon Low-order finite element method for the
well-posed bidimensional Stokes problem 427--453
Daniel Bouche and
Francis Collino and
Yoann Morel and
Olivier Vacus Characteristic current decomposition and
radar cross-section analysis for
perfectly electrically conducting bodies 454--477
Rida T. Farouki and
Carla Manni and
Maria Lucia Sampoli and
Alessandra Sestini Shape-preserving interpolation of
spatial data by Pythagorean-hodograph
quintic spline curves . . . . . . . . . 478--498
A.-C. Egloffe and
A. Gloria and
J.-C. Mourrat and
T. N. Nguyen Random walk in random environment,
corrector equation and homogenized
coefficients: from theory to numerics,
back and forth . . . . . . . . . . . . . 499--545
Robert I. McLachlan and
Klas Modin and
Olivier Verdier Collective Lie--Poisson integrators on $
R^3 $ . . . . . . . . . . . . . . . . . 546--560
Bangti Jin and
Raytcho Lazarov and
Joseph Pasciak and
Zhi Zhou Error analysis of semidiscrete finite
element methods for inhomogeneous
time-fractional diffusion . . . . . . . 561--582
Marie Kopec Weak backward error analysis for
overdamped Langevin processes . . . . . 583--614
Thomas Dunst Convergence with rates for a
time-discretization of the Stochastic
Landau--Lifschitz--Gilbert equation . . 615--651
Carsten Gräser and
Ralf Kornhuber and
Uli Sack Nonsmooth Schur--Newton methods for
multicomponent Cahn--Hilliard systems 652--679
Luigi C. Berselli and
Lars Diening and
Michael Ruzicka Optimal error estimate for semi-implicit
space--time discretization for the
equations describing incompressible
generalized Newtonian fluids . . . . . . 680--697
Martin Stynes and
José Luis Gracia A finite difference method for a
two-point boundary value problem with a
Caputo fractional derivative . . . . . . 698--721
Bernardo de la Calle Ysern Optimal extension of the Szeg\Ho
quadrature . . . . . . . . . . . . . . . 722--748
Salim Meddahi and
David Mora and
Rodolfo Rodríguez A finite element analysis of a
pseudostress formulation for the Stokes
eigenvalue problem . . . . . . . . . . . 749--766
Yinnian He Unconditional convergence of the Euler
semi-implicit scheme for the
three-dimensional incompressible MHD
equations . . . . . . . . . . . . . . . 767--801
Jan Giesselmann Low Mach asymptotic-preserving scheme
for the Euler--Korteweg model . . . . . 802--833
Sanda Micula and
Wolfgang L. Wendland Trigonometric collocation for nonlinear
Riemann--Hilbert problems on doubly
connected domains . . . . . . . . . . . 834--858
Lehel Banjai and
Antonio R. Laliena and
Francisco-Javier Sayas Fully discrete Kirchhoff formulas with
CQ-BEM . . . . . . . . . . . . . . . . . 859--884
Fardin Saedpanah Continuous Galerkin finite element
methods for hyperbolic
integro-differential equations . . . . . 885--908
Roel Van Beeumen and
Wim Michiels and
Karl Meerbergen Linearization of Lagrange and Hermite
interpolating matrix polynomials . . . . 909--930
M. H. Annaby and
R. M. Asharabi Error estimates associated with sampling
series of the linear canonical
transforms . . . . . . . . . . . . . . . 931--946
S. Bellavia and
B. Morini Strong local convergence properties of
adaptive regularized methods for
nonlinear least squares . . . . . . . . 947--968
Antonio Márquez and
Salim Meddahi and
Francisco-Javier Sayas Strong coupling of finite element
methods for the Stokes--Darcy problem 969--988
F. Colombini and
J. Rauch Numerical analysis of very weakly
well-posed hyperbolic Cauchy problems 989--1010
Martin Rumpf and
Benedikt Wirth Variational time discretization of
geodesic calculus . . . . . . . . . . . 1011--1046
Helge Holden and
Ujjwal Koley and
Nils Henrik Risebro Convergence of a fully discrete finite
difference scheme for the Korteweg--de
Vries equation . . . . . . . . . . . . . 1047--1077
Tobias Hell and
Alexander Ostermann and
Michael Sandbichler Modification of dimension-splitting
methods-overcoming the order reduction
due to corner singularities . . . . . . 1078--1091
Barbara Kaltenbacher and
Vanja Nikolic and
Mechthild Thalhammer Efficient time integration methods based
on operator splitting and application to
the Westervelt equation . . . . . . . . 1092--1124
Marianne Bessemoulin-Chatard and
Claire Chainais-Hillairet and
Francis Filbet On discrete functional inequalities for
some finite volume schemes . . . . . . . 1125--1149
Gerard Awanou Standard finite elements for the
numerical resolution of the elliptic
Monge--Amp\`ere equation: classical
solutions . . . . . . . . . . . . . . . 1150--1166
Andreas C. Aristotelous and
Ohannes A. Karakashian and
Steven M. Wise Adaptive, second-order in time,
primitive-variable discontinuous
Galerkin schemes for a Cahn--Hilliard
equation with a mass source . . . . . . 1167--1198
Fernando Camacho and
Alan Demlow $ L_2 $ and pointwise a posteriori error
estimates for FEM for elliptic PDEs on
surfaces . . . . . . . . . . . . . . . . 1199--1227
Lin Mu and
Junping Wang and
Xiu Ye A new weak Galerkin finite element
method for the Helmholtz equation . . . 1228--1255
Moody T. Chu and
Matthew M. Lin On the finite rank and
finite-dimensional representation of
bounded semi-infinite Hankel operators 1256--1276
Bingxing Xia and
Viet Ha Hoang High-dimensional finite element method
for multiscale linear elasticity . . . . 1277--1314
Shu-Lin Wu Convergence analysis of some
second-order parareal algorithms . . . . 1315--1341
Thomas Dunst and
Markus Klein and
Andreas Prohl and
Ailyn Schäfer Optimal control in evolutionary
micromagnetism . . . . . . . . . . . . . 1342--1380
Adérito Araújo and
Sílvia Barbeiro and
Pedro Serranho Stability of finite difference schemes
for nonlinear complex reaction-diffusion
processes . . . . . . . . . . . . . . . 1381--1401
Nicola Guglielmi and
Manuela Manetta Approximating real stability radii . . . 1402--1425
David Ketcheson and
Lajos Lóczi and
Tihamér A. Kocsis On the absolute stability regions
corresponding to partial sums of the
exponential function . . . . . . . . . . 1426--1455
Zhong-Qing Wang and
Xin-Min Xiang Generalized Laguerre approximations and
spectral method for the Camassa--Holm
equation . . . . . . . . . . . . . . . . 1456--1482
Christian Henke and
Lutz Angermann Erratum to the paper ``$ L^\infty
(L^\infty)$-boundedness and convergence
of DG($p$)-solutions for nonlinear
conservation laws with boundary
conditions'' . . . . . . . . . . . . . . 1483--1485
Kolja Brix and
Martin Campos Pinto and
Claudio Canuto and
Wolfgang Dahmen Multilevel preconditioning of
discontinuous Galerkin spectral element
methods. Part I: geometrically
conforming meshes . . . . . . . . . . . 1487--1532
E. Fonn and
P. Grohs and
R. Hiptmair Hyperbolic cross approximation for the
spatially homogeneous Boltzmann equation 1533--1567
Arnold Reusken Analysis of trace finite element methods
for surface partial differential
equations . . . . . . . . . . . . . . . 1568--1590
C. Carstensen and
M. Schedensack Medius analysis and comparison results
for first-order finite element methods
in linear elasticity . . . . . . . . . . 1591--1621
Xiaobing Feng and
Yukun Li Analysis of symmetric interior penalty
discontinuous Galerkin methods for the
Allen--Cahn equation and the mean
curvature flow . . . . . . . . . . . . . 1622--1651
L. Tobiska and
R. Verfürth Robust a posteriori error estimates for
stabilized finite element methods . . . 1652--1671
Jérôme Bonelle and
Alexandre Ern Analysis of compatible discrete operator
schemes for the Stokes equations on
polyhedral meshes . . . . . . . . . . . 1672--1697
D. P. Hewett and
S. Langdon and
S. N. Chandler-Wilde A frequency-independent boundary element
method for scattering by two-dimensional
screens and apertures . . . . . . . . . 1698--1728
Gabriel R. Barrenechea and
Volker John and
Petr Knobloch Some analytical results for an algebraic
flux correction scheme for a steady
convection-diffusion equation in one
dimension . . . . . . . . . . . . . . . 1729--1756
David F. Anderson and
Masanori Koyama An asymptotic relationship between
coupling methods for stochastically
modeled population processes . . . . . . 1757--1778
Dietmar Gallistl Morley finite element method for the
eigenvalues of the biharmonic operator 1779--1811
Huoyuan Duan and
Roger C. E. Tan and
Suh-Yuh Yang and
Cheng-Shu You An SPD stabilized finite element method
for the Stokes equations . . . . . . . . 1812--1841
Karl Deckers Christoffel--Darboux-type formulae for
orthonormal rational functions with
arbitrary complex poles . . . . . . . . 1842--1863
Leandro M. Del Pezzo and
Sandra Martínez Order of convergence of the finite
element method for the $ p(x)$-Laplacian 1864--1887
Hui Zheng and
Jinbiao Wu Convergence analysis on multigrid
methods for elliptic problems with large
jumps in coefficients . . . . . . . . . 1888--1912
Patrick Esser and
Jörg Grande An accurate and robust finite element
level set redistancing method . . . . . 1913--1933
Xiaoying Dai and
Lianhua He and
Aihui Zhou Convergence and quasi-optimal complexity
of adaptive finite element computations
for multiple eigenvalues . . . . . . . . 1934--1977
Albert Cohen and
Ronald DeVore Kolmogorov widths under holomorphic
mappings . . . . . . . . . . . . . . . . 1--12
Benedict Leimkuhler and
Charles Matthews and
Gabriel Stoltz The computation of averages from
equilibrium and nonequilibrium Langevin
molecular dynamics . . . . . . . . . . . 13--79
Molei Tao and
Houman Owhadi Variational and linearly implicit
integrators, with applications . . . . . 80--107
Tobin A. Driscoll and
Nicholas Hale Rectangular spectral collocation . . . . 108--132
Fernando de Terán and
Froilán M. Dopico and
Javier Pérez Backward stability of polynomial
root-finding using Fiedler companion
matrices . . . . . . . . . . . . . . . . 133--173
Thomas Trogdon and
Sheehan Olver A Riemann--Hilbert approach to Jacobi
operators and Gaussian quadrature . . . 174--196
Bangti Jin and
Raytcho Lazarov and
Zhi Zhou An analysis of the $ L_1 $ scheme for
the subdiffusion equation with nonsmooth
data . . . . . . . . . . . . . . . . . . 197--221
Harbir Antil and
Abner J. Salgado Approximation of elliptic equations with
bmo coefficients . . . . . . . . . . . . 222--237
Oliver Sander Geodesic finite elements of higher order 238--266
Rodolfo Araya and
Abner H. Poza and
Frédéric Valentin A low-order local projection method for
the incompressible Navier--Stokes
equations in two- and three-dimensions 267--295
Howard C. Elman and
Minghao W. Rostami Efficient iterative algorithms for
linear stability analysis of
incompressible flows . . . . . . . . . . 296--316
Georgios Akrivis and
Anna Kalogirou and
Demetrios T. Papageorgiou and
Yiorgos-Sokratis Smyrlis Linearly implicit schemes for
multi-dimensional Kuramoto--Sivashinsky
type equations arising in falling film
flows . . . . . . . . . . . . . . . . . 317--336
Alex Townsend and
Thomas Trogdon and
Sheehan Olver Fast computation of Gauss quadrature
nodes and weights on the whole real line 337--358
Francesco Dell'Accio and
Filomena Di Tommaso and
Kai Hormann On the approximation order of triangular
Shepard interpolation . . . . . . . . . 359--379
Lucia Romani and
Victoria Hernández Mederos and
Jorge Estrada Sarlabous Exact evaluation of a class of
nonstationary approximating subdivision
algorithms and related applications . . 380--399
David Cohen and
Lluís Quer-Sardanyons A fully discrete approximation of the
one-dimensional stochastic wave equation 400--420
Raymundo Navarrete and
Divakar Viswanath Accuracy and stability of inversion of
power series . . . . . . . . . . . . . . 421--436
Huangxin Chen and
Jingzhi Li and
Weifeng Qiu Robust a posteriori error estimates for
HDG method for convection--diffusion
equations . . . . . . . . . . . . . . . 437--462
Yassine Boubendir and
Catalin Turc and
Víctor Domínguez High-order Nyström discretizations for
the solution of integral equation
formulations of two-dimensional
Helmholtz transmission problems . . . . 463--492
Sören Bartels Broken Sobolev space iteration for total
variation regularized minimization
problems . . . . . . . . . . . . . . . . 493--502
Sylvain Ervedoza and
Aurora Marica and
Enrique Zuazua Numerical meshes ensuring uniform
observability of one-dimensional waves:
construction and analysis . . . . . . . 503--542
Thierry Gallouët and
Rapha\`ele Herbin and
David Maltese and
Antonin Novotny Error estimates for a numerical
approximation to the compressible
barotropic Navier--Stokes equations . . 543--592
Christian Kreuzer and
Mira Schedensack Instance optimal Crouzeix--Raviart
adaptive finite element methods for the
Poisson and Stokes problems . . . . . . 593--617
Kuan Xu and
Nicholas Hale Explicit construction of rectangular
differentiation matrices . . . . . . . . 618--632
Hamed Zakerzadeh and
Ulrik S. Fjordholm High-order accurate, fully discrete
entropy stable schemes for scalar
conservation laws . . . . . . . . . . . 633--654
Karl Meerbergen An implicitly restarted rational Krylov
strategy for Lyapunov inverse iteration 655--674
Adrien Escande Fast closest logarithm algorithm in the
special orthogonal group . . . . . . . . 675--687
T. S. Haut and
T. Babb and
P. G. Martinsson and
B. A. Wingate A high-order time-parallel scheme for
solving wave propagation problems via
the direct construction of an
approximate time-evolution operator . . 688--716
Frank E. Curtis and
Wei Guo Handling nonpositive curvature in a
limited memory steepest descent method 717--742
D. G. Crowdy and
S. Tanveer and
T. Delillo Hybrid basis scheme for computing
electrostatic fields exterior to
close-to-touching discs . . . . . . . . 743--769
Thomas Boiveau and
Erik Burman A penalty-free Nitsche method for the
weak imposition of boundary conditions
in compressible and incompressible
elasticity . . . . . . . . . . . . . . . 770--795
Helene Dallmann and
Daniel Arndt and
Gert Lube Local projection stabilization for the
Oseen problem . . . . . . . . . . . . . 796--823
Aditi Ghosh and
Prabir Daripa The FFTRR-based fast decomposition
methods for solving complex biharmonic
problems and incompressible flows . . . 824--850
R. M. Asharabi and
J. Prestin On two-dimensional classical and Hermite
sampling . . . . . . . . . . . . . . . . 851--871
Min Yang and
Jiangguo Liu and
Qingsong Zou Unified analysis of higher-order finite
volume methods for parabolic problems on
quadrilateral meshes . . . . . . . . . . 872--896
Wenbin Chen and
Fang Wang and
Yanqiu Wang Weak Galerkin method for the coupled
Darcy--Stokes flow . . . . . . . . . . . 897--921
Zhi-Ru Ren and
Yang Cao An alternating positive-semidefinite
splitting preconditioner for saddle
point problems from time-harmonic eddy
current models . . . . . . . . . . . . . 922--946
Sergio Caucao and
David Mora and
Ricardo Oyarzúa A priori and a posteriori error analysis
of a pseudostress-based mixed
formulation of the Stokes problem with
varying density . . . . . . . . . . . . 947--983
Qifeng Liao and
David Silvester Erratum to ``Robust stabilized Stokes
approximation methods for highly
stretched grids'' . . . . . . . . . . . 984--984
Tim Mitchell and
Michael L. Overton Hybrid expansion-contraction: a robust
scaleable method for approximating the $
H_\infty $ norm . . . . . . . . . . . . 985--1014
Charles Brett and
Andreas Dedner and
Charles Elliott Optimal control of elliptic PDEs at
points . . . . . . . . . . . . . . . . . 1015--1050
Sören Bartels A simple scheme for the approximation of
elastic vibrations of inextensible
curves . . . . . . . . . . . . . . . . . 1051--1071
Olaf Steinbach and
Barbara Wohlmuth and
Linus Wunderlich Trace and flux a priori error estimates
in finite-element approximations of
Signorni-type problems . . . . . . . . . 1072--1095
C. Carstensen and
D. Gallistl and
M. Schedensack $ L^2 $ best approximation of the
elastic stress in the Arnold--Winther
FEM . . . . . . . . . . . . . . . . . . 1096--1119
Carsten Carstensen and
Neela Nataraj and
Amiya K. Pani Comparison results and unified analysis
for first-order finite volume element
methods for a Poisson model problem . . 1120--1142
Marcelo Actis and
Pedro Morin and
Marilina Carena Nonlocal diffusions on fractals:
qualitative properties and numerical
approximations . . . . . . . . . . . . . 1143--1166
P. Grohs and
S. Hosseini Nonsmooth trust region algorithms for
locally Lipschitz functions on
Riemannian manifolds . . . . . . . . . . 1167--1192
Christine Bernardi and
Sarra Maarouf and
Driss Yakoubi Spectral discretization of Darcy's
equations coupled with the heat equation 1193--1216
Fernando D. Gaspoz and
Claus-Justus Heine and
Kunibert G. Siebert Optimal grading of the newest vertex
bisection and $ H^1 $-stability of the $
L_2 $-projection . . . . . . . . . . . . 1217--1241
Jörg Liesen Pták's nondiscrete induction and its
application to matrix iterations . . . . 1242--1260
Lars Ludwig and
Hans-Goerg Roos Convergence and supercloseness of a
finite element method for a singularly
perturbed convection-diffusion problem
on an L-shaped domain . . . . . . . . . 1261--1280
James Adler and
Scott MacLachlan and
Niall Madden A first-order system Petrov--Galerkin
discretization for a reaction-diffusion
problem on a fitted mesh . . . . . . . . 1281--1309
Lyonell Boulton and
Aatef Hobiny On the convergence of the quadratic
method . . . . . . . . . . . . . . . . . 1310--1333
Fotini Karakatsani A posteriori error estimates for fully
discrete fractional-step $ \theta
$-approximations for parabolic equations 1334--1361
Ken'ichiro Tanaka A fast and accurate numerical method for
symmetric Lévy processes based on the
Fourier transform and sinc-Gauss
sampling formula . . . . . . . . . . . . 1362--1388
Rida T. Farouki and
Francesca Pelosi and
Maria Lucia Sampoli and
Alessandra Sestini Tensor-product surface patches with
Pythagorean-hodograph isoparametric
curves . . . . . . . . . . . . . . . . . 1389--1409
JaEun Ku Localized pointwise error estimates for
direct flux approximation . . . . . . . 1410--1431
Bin Wu and
Qinghui Zhang Fast multiscale regularization methods
for high-order numerical differentiation 1432--1451
Zixian Jiang and
Armin Lechleiter Computing interior eigenvalues of
domains from far fields . . . . . . . . 1452--1476
Eduard Feireisl and
Trygve Karper and
Antonín Novotný A convergent numerical method for the
Navier--Stokes--Fourier system . . . . . 1477--1535
V. Bonnaillie-Noël and
J. A. Carrillo and
T. Goudon and
G. A. Pavliotis Efficient numerical calculation of drift
and diffusion coefficients in the
diffusion approximation of kinetic
equations . . . . . . . . . . . . . . . 1536--1569
Yanlai Chen and
Bernardo Cockburn and
Bo Dong A new discontinuous Galerkin method,
conserving the discrete $ H^2 $-norm,
for third-order linear equations in one
space dimension . . . . . . . . . . . . 1570--1598
Fritz Kretzschmar and
Andrea Moiola and
Ilaria Perugia and
Sascha M. Schnepp A priori error analysis of space--time
Trefftz discontinuous Galerkin methods
for wave problems . . . . . . . . . . . 1599--1635
Jérôme Droniou and
Robert Eymard and
Pierre Feron Gradient Schemes for Stokes problem . . 1636--1669
Nicholas Hale and
Alex Townsend A fast FFT-based discrete Legendre
transform . . . . . . . . . . . . . . . 1670--1684
Jan Giesselmann and
Tristan Pryer Reduced relative entropy techniques for
a posteriori analysis of multiphase
problems in elastodynamics . . . . . . . 1685--1714
Alejandro Allendes and
Francisco Durán and
Richard Rankin Error estimation for low-order adaptive
finite element approximations for fluid
flow problems . . . . . . . . . . . . . 1715--1747
Miguel A. Fernández and
Jimmy Mullaert Convergence and error analysis for a
class of splitting schemes in
incompressible fluid-structure
interaction . . . . . . . . . . . . . . 1748--1782
Martin Grothaus and
Nicole Marheineke On a nonlinear partial differential
algebraic system arising in the
technical textile industry: analysis and
numerics . . . . . . . . . . . . . . . . 1783--1803
Guillaume Dujardin and
Pauline Lafitte Asymptotic behaviour of splitting
schemes involving time-subcycling
techniques . . . . . . . . . . . . . . . 1804--1841
Mariano De Leo and
Diego Rial and
Constanza Sánchez de la Vega High-order time-splitting methods for
irreversible equations . . . . . . . . . 1842--1866
Amanda E. Diegel and
Cheng Wang and
Steven M. Wise Stability and convergence of a
second-order mixed finite element method
for the Cahn--Hilliard equation . . . . 1867--1897
Flore Nabet Convergence of a finite-volume scheme
for the Cahn--Hilliard equation with
dynamic boundary conditions . . . . . . 1898--1942
Weifeng Qiu and
Ke Shi A superconvergent HDG method for the
incompressible Navier--Stokes equations
on general polyhedral meshes . . . . . . 1943--1967
Balázs Kovács and
Christian Lubich Numerical analysis of parabolic problems
with dynamic boundary conditions . . . . 1--39
Daniele A. Di Pietro and
Alexandre Ern Arbitrary-order mixed methods for
heterogeneous anisotropic diffusion on
general meshes . . . . . . . . . . . . . 40--63
C. Carstensen and
K. Köhler Nonconforming FEM for the obstacle
problem . . . . . . . . . . . . . . . . 64--93
Genevi\`eve Dusson and
Yvon Maday \em A posteriori analysis of a nonlinear
Gross--Pitaevskii-type eigenvalue
problem . . . . . . . . . . . . . . . . 94--137
Erik Burman and
Peter Hansbo and
Mats G. Larson and
André Massing A cut discontinuous Galerkin method for
the Laplace--Beltrami operator . . . . . 138--169
Christiane Cocozza-Thivent and
Robert Eymard and
Ludovic Gouden\`ege and
Michel Roussignol Numerical methods for piecewise
deterministic Markov processes with
boundary . . . . . . . . . . . . . . . . 170--208
Brittany D. Froese and
Adam M. Oberman and
Tiago Salvador Numerical methods for the $2$-Hessian
elliptic partial differential equation 209--236
George C. Hsiao and
Tonatiuh Sánchez-Vizuet and
Francisco-Javier Sayas Boundary and coupled boundary-finite
element methods for transient
wave-structure interaction . . . . . . . 237--265
D. C. Antonopoulos and
V. A. Dougalis Galerkin-finite element methods for the
shallow water equations with
characteristic boundary conditions . . . 266--295
Ernesto Cáceres and
Gabriel N. Gatica A mixed virtual element method for the
pseudostress--velocity formulation of
the Stokes problem . . . . . . . . . . . 296--331
Patricio Farrell and
Kathryn Gillow and
Holger Wendland Multilevel interpolation of
divergence-free vector fields . . . . . 332--353
A. Linke and
C. Merdon and
W. Wollner Optimal $ L^2 $ velocity error estimate
for a modified pressure-robust
Crouzeix--Raviart Stokes element . . . . 354--374
Sina Ober-Blöbaum Galerkin variational integrators and
modified symplectic Runge--Kutta methods 375--406
Philip E. Gill and
Vyacheslav Kungurtsev and
Daniel P. Robinson A stabilized SQP method: global
convergence . . . . . . . . . . . . . . 407--443
Haixia Dong and
Bo Wang and
Ziqing Xie and
Li-Lian Wang An unfitted hybridizable discontinuous
Galerkin method for the Poisson
interface problem and its error analysis 444--476
Shuji Yoshikawa An error estimate for
structure-preserving finite difference
scheme for the Falk model system of
shape memory alloys . . . . . . . . . . 477--504
Takashi Goda and
Kosuke Suzuki and
Takehito Yoshiki Optimal order quasi-Monte Carlo
integration in weighted Sobolev spaces
of arbitrary smoothness . . . . . . . . 505--518
L. Bos and
S. De Marchi and
M. Vianello Trivariate polynomial approximation on
Lissajous curves . . . . . . . . . . . . 519--541
Charles M. Elliott and
Hans Fritz On approximations of the curve
shortening flow and of the mean
curvature flow based on the DeTurck
trick . . . . . . . . . . . . . . . . . 543--603
Mark Ainsworth and
Richard Rankin Computable error bounds for finite
element approximation on nonpolygonal
domains . . . . . . . . . . . . . . . . 604--645
Blanca Ayuso de Dios and
Ralf Hiptmair and
Cecilia Pagliantini Auxiliary space preconditioners for
SIP-DG discretizations of
$H$(curl)-elliptic problems with
discontinuous coefficients . . . . . . . 646--686
Lorenz John and
Petra Pustejovska and
Barbara Wohlmuth and
Ulrich Rüde Energy-corrected finite element methods
for the Stokes system . . . . . . . . . 687--729
Bernardo Cockburn and
Guosheng Fu and
Weifeng Qiu A note on the devising of
superconvergent HDG methods for Stokes
flow by $M$-decompositions . . . . . . . 730--749
Emmanuel Creusé and
Serge Nicaise and
Roberta Tittarelli A guaranteed equilibrated error
estimator for the $ \mathbf {A} -
\varphi $ and $ \mathbf {T} - \Omega $
magnetodynamic harmonic formulations of
the Maxwell system . . . . . . . . . . . 750--773
Edward J. Fuselier and
Grady B. Wright A radial basis function method for
computing Helmholtz--Hodge
decompositions . . . . . . . . . . . . . 774--797
Maarten Wyns Convergence analysis of the Modified
Craig--Sneyd scheme for two-dimensional
convection-diffusion equations with
nonsmooth initial data . . . . . . . . . 798--831
Asha K. Dond and
Neela Nataraj and
Amiya Kumar Pani Convergence of an adaptive lowest-order
Raviart--Thomas element method for
general second-order linear elliptic
problems . . . . . . . . . . . . . . . . 832--860
Ken'ichiro Tanaka and
Tomoaki Okayama and
Masaaki Sugihara Potential theoretic approach to design
of accurate formulas for function
approximation in symmetric weighted
Hardy spaces . . . . . . . . . . . . . . 861--904
K. Ma and
P. A. Forsyth An unconditionally monotone numerical
scheme for the two-factor uncertain
volatility model . . . . . . . . . . . . 905--944
Samir Karaa and
Kassem Mustapha and
Amiya K. Pani Finite volume element method for
two-dimensional fractional subdiffusion
problems . . . . . . . . . . . . . . . . 945--964
Xiaojie Wang Strong convergence rates of the linear
implicit Euler method for the finite
element discretization of SPDEs with
additive noise . . . . . . . . . . . . . 965--984
Nicolas Besse Discontinuous Galerkin finite element
methods for the gyrokinetic-waterbag
equations . . . . . . . . . . . . . . . 985--1040
Chuchu Chen and
Jialin Hong and
Lihai Ji Mean-square convergence of a symplectic
local discontinuous Galerkin method
applied to stochastic linear Schrödinger
equation . . . . . . . . . . . . . . . . 1041--1065
Simon Foucart and
Vladlena Powers Basc: constrained approximation by
semidefinite programming . . . . . . . . 1066--1085
Ernst Hairer and
Arieh Iserles Banded, stable, skew-symmetric
differentiation matrices of high order 1087--1103
Sonia Seyed Allaei and
Zhan-Wen Yang and
Hermann Brunner Collocation methods for third-kind VIEs 1104--1124
Annalisa Buffa and
Eduardo M. Garau Refinable spaces and local approximation
estimates for hierarchical splines . . . 1125--1149
Haiyong Wang and
Daan Huybrechs Fast and accurate computation of
Chebyshev coefficients in the complex
plane . . . . . . . . . . . . . . . . . 1150--1174
Carlos Jerez-Hanckes and
Christoph Schwab Electromagnetic wave scattering by
random surfaces: uncertainty
quantification via sparse tensor
boundary elements . . . . . . . . . . . 1175--1210
Markus Faustmann and
Jens Markus Melenk and
Dirk Praetorius Existence of $ \mathscr {H} $-matrix
approximants to the inverse of BEM
matrices: the hyper-singular integral
operator . . . . . . . . . . . . . . . . 1211--1244
Andrea Bonito and
Joseph E. Pasciak Numerical approximation of fractional
powers of regularly accretive operators 1245--1273
Peter Hansbo and
Mats G. Larson A stabilized finite element method for
the Darcy problem on surfaces . . . . . 1274--1299
Max Jensen $ L^2 (H^1_\gamma) $ Finite Element
Convergence for Degenerate Isotropic
Hamilton--Jacobi--Bellman Equations . . 1300--1316
Andrea Cangiani and
Gianmarco Manzini and
Oliver J. Sutton Conforming and nonconforming virtual
element methods for elliptic problems 1317--1354
Anthony P. Austin and
Kuan Xu On the numerical stability of the second
barycentric formula for trigonometric
interpolation in shifted equispaced
points . . . . . . . . . . . . . . . . . 1355--1374
Charles-Edouard Bréhier and
Marie Kopec Approximation of the invariant law of
SPDEs: error analysis using a Poisson
equation for a full-discretization
scheme . . . . . . . . . . . . . . . . . 1375--1410
Can Huang and
Martin Stynes Spectral Galerkin methods for a weakly
singular Volterra integral equation of
the second kind . . . . . . . . . . . . 1411--1436
Naveed Ahmed and
Tomás Chacón Rebollo and
Volker John and
Samuele Rubino Analysis of a Full Space--Time
Discretization of the Navier--Stokes
Equations by a Local Projection
Stabilization Method . . . . . . . . . . 1437--1467
Stefano Pozza and
Miroslav S. Prani\'c and
Zdenek Strakos Gauss quadrature for quasi-definite
linear functionals . . . . . . . . . . . 1468--1495
Eskil Hansen and
Erik Henningsson Additive domain decomposition operator
splittings-convergence analyses in a
dissipative framework . . . . . . . . . 1496--1519
Bangti Jin and
Yifeng Xu and
Jun Zou A convergent adaptive finite element
method for electrical impedance
tomography . . . . . . . . . . . . . . . 1520--1550
K. Brenner and
J. Hennicker and
R. Masson and
P. Samier Gradient discretization of
hybrid-dimensional Darcy flow in
fractured porous media with
discontinuous pressures at
matrix-fracture interfaces . . . . . . . 1551--1585
Franziska Weber Convergence rates of finite difference
schemes for the linear advection and
wave equation with rough coefficient . . 1586--1634
Roger Fletcher Augmented Lagrangians, box constrained
QP and extensions . . . . . . . . . . . 1635--1656
John W. Barrett and
Harald Garcke and
Robert Nürnberg Stable variational approximations of
boundary value problems for Willmore
flow with Gaussian curvature . . . . . . 1657--1709
Daniele Boffi and
Lucia Gastaldi and
Rodolfo Rodríguez and
Ivana Sebestová Residual-based a posteriori error
estimation for the Maxwell's eigenvalue
problem . . . . . . . . . . . . . . . . 1710--1732
Johnny Guzmán and
Chi-Wang Shu and
Filánder A. Sequeira $ H({\rm div}) $ conforming and DG
methods for incompressible Euler's
equations . . . . . . . . . . . . . . . 1733--1771
Carlos García and
Gabriel N. Gatica and
Salim Meddahi Finite element semidiscretization of a
pressure-stress formulation for the
time-domain fluid-structure interaction
problem . . . . . . . . . . . . . . . . 1772--1799
Ohannes Karakashian and
Craig Collins Two-level additive Schwarz methods for
discontinuous Galerkin approximations of
second-order elliptic problems . . . . . 1800--1830
Karl Meerbergen and
Emre Mengi and
Wim Michiels and
Roel Van Beeumen Computation of pseudospectral abscissa
for large-scale nonlinear eigenvalue
problems . . . . . . . . . . . . . . . . 1831--1863
Hoang-Long Ngo and
Dai Taguchi On the Euler--Maruyama approximation for
one-dimensional stochastic differential
equations with irregular coefficients 1864--1883
William W. Hager and
Hongyan Hou and
Anil V. Rao Lebesgue constants arising in a class of
collocation methods . . . . . . . . . . 1884--1901
Roberto Andreani and
Gabriel Haeser and
Alberto Ramos and
Paulo J. S. Silva A second-order sequential optimality
condition associated to the convergence
of optimization algorithms . . . . . . . 1902--1929
Martin Altmayer and
Andreas Neuenkirch Discretising the Heston model: an
analysis of the weak convergence rate 1930--1960
Iain Smears Robust and efficient preconditioners for
the discontinuous Galerkin time-stepping
method . . . . . . . . . . . . . . . . . 1961--1985
Ana Alonso Rodríguez and
Jessika Camañno and
Riccardo Ghiloni and
Alberto Valli Graphs, spanning trees and
divergence-free finite elements in
domains of general topology . . . . . . 1986--2003
Mario Amrein and
Thomas P. Wihler An adaptive space--time Newton--Galerkin
approach for semilinear singularly
perturbed parabolic evolution equations 2004--2019
Verónica Anaya and
David Mora and
Ricardo Ruiz-Baier Pure vorticity formulation and Galerkin
discretization for the Brinkman
equations . . . . . . . . . . . . . . . 2020--2041
Sebastian Herr and
Katharina Schratz Trigonometric time integrators for the
Zakharov system . . . . . . . . . . . . 2042--2066
Ludwig Gauckler Numerical long-time energy conservation
for the nonlinear Schrödinger equation 2067--2090
I. Alonso-Mallo and
B. Cano and
N. Reguera Avoiding order reduction when
integrating linear initial boundary
value problems with Lawson methods . . . 2091--2119
Hongtao Chen and
Hailong Guo and
Zhimin Zhang and
Qingsong Zou A $ C^0 $ linear finite element method
for two fourth-order eigenvalue problems 2120--2138
François Bouchut and
David Doyen and
Robert Eymard Convection and total variation
flow-erratum and improvement . . . . . . 2139--2169
Andrea Bonito and
Joseph E. Pasciak Corrigendum to the paper ``Numerical
approximation of fractional powers of
regularly accretive operators'' . . . . 2170--2170
Roberto Andreani and
Gabriel Haeser and
Alberto Ramos and
Paulo J. S. Silva Erratum: ``A second-order sequential
optimality condition associated to the
convergence of optimization algorithms'' e1
K. H. Karlsen and
E. B. Storròsten Analysis of a splitting method for
stochastic balance laws . . . . . . . . 1--56
Simone Buchholz and
Ludwig Gauckler and
Volker Grimm and
Marlis Hochbruck and
Tobias Jahnke Closing the gap between trigonometric
integrators and splitting methods for
highly oscillatory differential
equations . . . . . . . . . . . . . . . 57--74
Georgios Akrivis and
Buyang Li Maximum norm analysis of
implicit--explicit backward difference
formulae for nonlinear parabolic
equations . . . . . . . . . . . . . . . 75--101
Richard Mikaël Slevinsky On the use of Hahn's asymptotic formula
and stabilized recurrence for a fast,
simple and stable Chebyshev--Jacobi
transform . . . . . . . . . . . . . . . 102--124
Xiong Meng and
Jennifer K. Ryan Divided difference estimates and
accuracy enhancement of discontinuous
Galerkin methods for nonlinear symmetric
systems of hyperbolic conservation laws 125--155
Noureddine Igbida and
Van Thanh Nguyen Augmented Lagrangian Method for Optimal
Partial Transportation . . . . . . . . . 156--183
Yanzhao Cao and
Jialin Hong and
Zhihui Liu Finite element approximations for
second-order stochastic differential
equation driven by fractional Brownian
motion . . . . . . . . . . . . . . . . . 184--197
Harbir Antil and
Enrique Otárola An a posteriori error analysis for an
optimal control problem involving the
fractional Laplacian . . . . . . . . . . 198--226
Van Tiep Chu and
Viet Ha Hoang High-dimensional finite elements for
multiscale Maxwell-type equations . . . 227--270
Martin Eigel and
Rüdiger Müller A posteriori error control for
stationary coupled bulk-surface
equations . . . . . . . . . . . . . . . 271--298
Sebastian Franz and
Katharina Höhne and
Gunar Matthies Grad-div stabilized discretizations on
$S$-type meshes for the Oseen problem 299--329
Xiaobing Feng and
Zhihao Ge and
Yukun Li Analysis of a multiphysics finite
element method for a poroelasticity
model . . . . . . . . . . . . . . . . . 330--359
Erwan Faou and
Tiphaine Jézéquel Convergence of a normalized gradient
algorithm for computing ground states 360--376
Jeremy M. Schmitt and
Melvin Leok Properties of Hamiltonian variational
integrators . . . . . . . . . . . . . . 377--398
Jiejing Bai and
Chun Li and
Xiao-Yan Liu Weak multi-symplectic reformulation and
geometric numerical integration for the
nonlinear Schrödinger equations with
delta potentials . . . . . . . . . . . . 399--429
Balázs Kovács High-order evolving surface finite
element method for parabolic problems on
evolving surfaces . . . . . . . . . . . 430--459
Balázs Kovács and
Christian Andreas Power Guerra Higher order time discretizations with
ALE finite elements for parabolic
problems on evolving surfaces . . . . . 460--494
Bruno Iannazzo and
Margherita Porcelli The Riemannian Barzilai--Borwein method
with nonmonotone line search and the
matrix geometric mean computation . . . 495--517
Bangti Jin and
Buyang Li and
Zhi Zhou An analysis of the Crank--Nicolson
method for subdiffusion . . . . . . . . 518--541
Sören Bartels and
Philipp Reiter and
Johannes Riege A simple scheme for the approximation of
self-avoiding inextensible curves . . . 543--565
Bernardo Cockburn and
Guosheng Fu Devising superconvergent HDG methods
with symmetric approximate stresses for
linear elasticity by $M$-decompositions 566--604
Eric Canc\`es and
Rachida Chakir and
Lianhua He and
Yvon Maday Two-grid methods for a class of
nonlinear elliptic eigenvalue problems 605--645
Erik Burman and
Johnny Guzmán and
Manuel A. Sánchez and
Marcus Sarkis Robust flux error estimation of an
unfitted Nitsche method for
high-contrast interface problems . . . . 646--668
Nina Aguillon and
Franck Boyer Error estimate for the upwind scheme for
the linear transport equation with
boundary data . . . . . . . . . . . . . 669--719
Frank E. Curtis and
Wei Guo $R$-linear convergence of limited memory
steepest descent . . . . . . . . . . . . 720--742
Sergio Blanes and
Fernando Casas and
Mechthild Thalhammer Convergence analysis of high-order
commutator-free quasi-Magnus exponential
integrators for nonautonomous linear
evolution equations of parabolic type 743--778
S. Falletta BEM coupling with the FEM fictitious
domain approach for the solution of the
exterior Poisson problem and of wave
scattering by rotating rigid bodies . . 779--809
Lina Ma and
Jie Shen and
Li-Lian Wang and
Zhiguo Yang Wavenumber explicit analysis for
time-harmonic Maxwell equations in a
spherical shell and spectral
approximations . . . . . . . . . . . . . 810--851
Harbir Antil and
Enrique Otárola and
Abner J. Salgado Some applications of weighted norm
inequalities to the error analysis of
PDE-constrained optimization problems 852--883
Florin A. Radu and
Kundan Kumar and
Jan M. Nordbotten and
Iuliu S. Pop A robust, mass conservative scheme for
two-phase flow in porous media including
Hölder continuous nonlinearities . . . . 884--920
Franz Chouly and
Mathieu Fabre and
Patrick Hild and
Jérôme Pousin and
Yves Renard Residual-based a posteriori error
estimation for contact problems
approximated by Nitsche's method . . . . 921--954
Andrea Bressan and
Bert Jüttler Inf-sup stability of isogeometric
Taylor--Hood and Sub-Grid methods for
the Stokes problem with hierarchical
splines . . . . . . . . . . . . . . . . 955--975
Oliver Salazar Celis A parametrized barycentric approximation
for inverse problems with application to
the Black--Scholes formula . . . . . . . 976--997
Ujjwal Koley and
Ananta K. Majee and
Guy Vallet A finite difference scheme for
conservation laws driven by Lévy noise 998--1050
Ki Wai Chau and
Cornelis W. Oosterlee On the wavelet-based SWIFT method for
backward stochastic differential
equations . . . . . . . . . . . . . . . 1051--1083
Andrea Natale and
Colin J. Cotter Corrigendum to: A variational \boldmath
$ H({\rm div}) $ finite-element
discretization approach for perfect
incompressible fluids . . . . . . . . . 1084--1084
Daan Huybrechs and
Peter Opsomer Construction and implementation of
asymptotic expansions for Laguerre-type
orthogonal polynomials . . . . . . . . . 1085--1118
Mario Arioli and
Michele Benzi A finite element method for quantum
graphs . . . . . . . . . . . . . . . . . 1119--1163
Jan Papez and
Zdenek Strakos On a residual-based a posteriori error
estimator for the total error . . . . . 1164--1184
Gang Wu and
Lu Zhang New algorithms for approximating $
\varphi $-functions and their condition
numbers for large sparse matrices . . . 1185--1208
Miguel A. Piñar and
Yuan Xu Best polynomial approximation on the
unit ball . . . . . . . . . . . . . . . 1209--1228
Guanglian Li and
Daniel Peterseim and
Mira Schedensack Error analysis of a variational
multiscale stabilization for
convection-dominated diffusion equations
in two dimensions . . . . . . . . . . . 1229--1253
Jérôme Droniou and
Neela Nataraj Improved $ L^2 $ estimate for gradient
schemes and super-convergence of the
TPFA finite volume scheme . . . . . . . 1254--1293
I. Alonso-Mallo and
B. Cano and
N. Reguera Avoiding order reduction when
integrating linear initial boundary
value problems with exponential
splitting methods . . . . . . . . . . . 1294--1323
Afaf Bouharguane and
Benjamin Melinand A splitting method for deep water with
bathymetry . . . . . . . . . . . . . . . 1324--1350
Christoph Lehrenfeld and
Arnold Reusken Analysis of a high-order unfitted finite
element method for elliptic interface
problems . . . . . . . . . . . . . . . . 1351--1387
Andrea Natale and
Colin J. Cotter A variational \boldmath $ H({\rm div}) $
finite-element discretization approach
for perfect incompressible fluids . . . 1388--1419
T. Malkmus and
M. Ruzicka and
S. Eckstein and
I. Toulopoulos Generalizations of SIP methods to
systems with $p$-structure . . . . . . . 1420--1451
Jessika Camaño and
Ricardo Oyarzúa and
Ricardo Ruiz-Baier and
Giordano Tierra Error analysis of an augmented mixed
method for the Navier--Stokes problem
with mixed boundary conditions . . . . . 1452--1484
Matania Ben-Artzi and
Jean-Pierre Croisille and
Dalia Fishelov and
Ron Katzir Discrete fourth-order Sturm--Liouville
problems . . . . . . . . . . . . . . . . 1485--1522
Cónall Kelly and
Gabriel J. Lord Adaptive time-stepping strategies for
nonlinear stochastic systems . . . . . . 1523--1549
Andreas E. Kyprianou and
Ana Osojnik and
Tony Shardlow Unbiased `walk-on-spheres' Monte Carlo
methods for the fractional Laplacian . . 1550--1578
Serge Gratton and
Clément W. Royer and
Luís N. Vicente and
Zaikun Zhang Complexity and global rates of
trust-region methods based on
probabilistic models . . . . . . . . . . 1579--1597
Karl Meerbergen and
Emre Mengi and
Wim Michiels and
Roel Van Beeumen Erratum to: ``Computation of
pseudospectral abscissa for large-scale
nonlinear eigenvalue problems'' . . . . 1598--1598
John W. Barrett and
Sébastien Boyaval Finite element approximation of the
FENE-P model . . . . . . . . . . . . . . 1599--1660
Markus Bachmayr and
Albert Cohen and
Wolfgang Dahmen Parametric PDEs: sparse or low-rank
approximations? . . . . . . . . . . . . 1661--1708
Paola F. Antonietti and
Ilario Mazzieri and
Niccol\`o Dal Santo and
Alfio Quarteroni A high-order discontinuous Galerkin
approximation to ordinary differential
equations with applications to
elastodynamics . . . . . . . . . . . . . 1709--1734
Adam M. Oberman and
Tiago Salvador Numerical methods for motion of level
sets by affine curvature . . . . . . . . 1735--1767
Georgios Akrivis Stability of implicit and
implicit-explicit multistep methods for
nonlinear parabolic equations . . . . . 1768--1796
Gregor Gantner and
Alexander Haberl and
Dirk Praetorius and
Bernhard Stiftner Rate optimal adaptive FEM with inexact
solver for nonlinear operators . . . . . 1797--1831
Philip L. Lederer and
Joachim Schöberl Polynomial robust stability analysis for
$ H({\rm div}) $-conforming finite
elements for the Stokes equations . . . 1832--1860
Stefan Güttel and
John W. Pearson A rational deferred correction approach
to parabolic optimal control problems 1861--1892
Thomas Führer and
Norbert Heuer and
Ernst P. Stephan On the DPG method for Signorini problems 1893--1926
T. Chacon Rebollo and
D. Yakoubi A three-dimensional model for two
coupled turbulent fluids: numerical
analysis of a finite element
approximation . . . . . . . . . . . . . 1927--1958
Marco Discacciati and
Luca Gerardo-Giorda Optimized Schwarz methods for the
Stokes--Darcy coupling . . . . . . . . . 1959--1983
Thomas Apel and
Max Winkler and
Johannes Pfefferer Error estimates for the postprocessing
approach applied to Neumann boundary
control problems in polyhedral domains 1984--2025
Francesca Gardini and
Giuseppe Vacca Virtual element method for second-order
elliptic eigenvalue problems . . . . . . 2026--2054
Chunmei Su and
Wenfan Yi Error estimates of a finite difference
method for the Klein--Gordon--Zakharov
system in the subsonic limit regime . . 2055--2073
Chupeng Ma and
Liqun Cao and
Yanping Lin Error estimates of Crank--Nicolson
Galerkin method for the time-dependent
Maxwell--Schrödinger equations under the
Lorentz gauge . . . . . . . . . . . . . 2074--2104
Xiaowei Liu and
Martin Stynes and
Jin Zhang Supercloseness of edge stabilization on
Shishkin rectangular meshes for
convection--diffusion problems with
exponential layers . . . . . . . . . . . 2105--2122
Hailong Guo and
Xu Yang and
Zhimin Zhang Superconvergence of partially penalized
immersed finite element methods . . . . 2123--2144
Zhengyu Wang and
Xiaojun Chen An exponential integrator-based
discontinuous Galerkin method for linear
complementarity systems . . . . . . . . 2145--2165
John W. Barrett and
Sébastien Boyaval Corrigendum to: Finite element
approximation of the FENE-P model . . . 2166--2168
Nicolas Boumal and
P-A Absil and
Coralia Cartis Global rates of convergence for
nonconvex optimization on manifolds . . 1--33
Emmanuil H. Georgoulis and
Edward Hall and
Charalambos Makridakis An a posteriori error bound for
discontinuous Galerkin approximations of
convection-diffusion problems . . . . . 34--60
Behrend Heeren and
Martin Rumpf and
Benedikt Wirth Variational time discretization of
Riemannian splines . . . . . . . . . . . 61--104
Soheil Hajian and
Michael Hintermüller and
Stefan Ulbrich Total variation diminishing schemes in
optimal control of scalar conservation
laws . . . . . . . . . . . . . . . . . . 105--140
Bilal Abbasi and
Adam M. Oberman A partial differential equation for the
$ | \epsilon |$-uniformly quasiconvex
envelope . . . . . . . . . . . . . . . . 141--166
Carsten Carstensen and
Gouranga Mallik and
Neela Nataraj A priori and a posteriori error control
of discontinuous Galerkin finite element
methods for the von Kármán equations . . . 167--200
Paola Pozzi and
Björn Stinner Elastic flow interacting with a lateral
diffusion process: the one-dimensional
graph case . . . . . . . . . . . . . . . 201--234
Massimo Frittelli and
Anotida Madzvamuse and
Ivonne Sgura and
Chandrasekhar Venkataraman Preserving invariance properties of
reaction--diffusion systems on
stationary surfaces . . . . . . . . . . 235--270
Gradimir V. Milovanovi\'c and
Ramón Orive and
Miodrag M. Spalevi\'c Quadratures with multiple nodes for
Fourier--Chebyshev coefficients . . . . 271--296
Brahim Benouahmane and
Cuyt Annie and
Irem Yaman Near-minimal cubature formulae on the
disk . . . . . . . . . . . . . . . . . . 297--314
Maximilian Gaß and
Kathrin Glau Parametric integration by magic point
empirical interpolation . . . . . . . . 315--341
Jens Rottmann-Matthes An IMEX-RK scheme for capturing
similarity solutions in the
multidimensional Burgers's equation . . 342--373
Jérôme Droniou and
Muhammad Ilyas and
Bishnu P. Lamichhane and
Glen E. Wheeler A mixed finite element method for a
sixth-order elliptic problem . . . . . . 374--397
Oleg Davydov and
Robert Schaback Optimal stencils in Sobolev spaces . . . 398--422
Miloslav Feistauer and
Filip Roskovec and
Anna-Margarete Sändig Discontinuous Galerkin method for an
elliptic problem with nonlinear Newton
boundary conditions in a polygon . . . . 423--453
Carsten Gräser and
Oliver Sander Truncated nonsmooth Newton multigrid
methods for block-separable minimization
problems . . . . . . . . . . . . . . . . 454--481
Ruchi Guo and
Tao Lin A group of immersed finite-element
spaces for elliptic interface problems 482--511
X. Cao and
S. F. Nemadjieu and
I. S. Pop Convergence of an MPFA finite volume
scheme for a two-phase porous media flow
model with dynamic capillarity . . . . . 512--544
Raghu Bollapragada and
Richard H. Byrd and
Jorge Nocedal Exact and inexact subsampled Newton
methods for optimization . . . . . . . . 545--578
Caroline Moosmüller and
Nira Dyn Increasing the smoothness of vector and
Hermite subdivision schemes . . . . . . 579--606
Qiang Du and
Yunzhe Tao and
Xiaochuan Tian and
Jiang Yang Asymptotically compatible discretization
of multidimensional nonlocal diffusion
models and approximation of nonlocal
Green's functions . . . . . . . . . . . 607--625
Carsten Gräser and
Tobias Kies Discretization error estimates for
penalty formulations of a linearized
Canham--Helfrich-type energy . . . . . . 626--649
Fernando D. Gaspoz and
Kunibert Siebert and
Christian Kreuzer and
Daniel A. Ziegler A convergent time-space adaptive $ d
G(s) $ finite element method for
parabolic problems motivated by equal
error distribution . . . . . . . . . . . 650--686
Václav Kucera and
Chi-Wang Shu On the time growth of the error of the
DG method for advective problems . . . . 687--712
Eberhard Bänsch and
Andreas Brenner A posteriori estimates for the two-step
backward differentiation formula and
discrete regularity for the
time-dependent Stokes equations . . . . 713--759
Hailiang Liu and
Yunqing Huang and
Wenying Lu and
Nianyu Yi On accuracy of the mass-preserving DG
method to multi-dimensional Schrödinger
equations . . . . . . . . . . . . . . . 760--791
Gabriel R. Barrenechea and
Ernesto Castillo and
Ramon Codina Time-dependent semidiscrete analysis of
the viscoelastic fluid flow problem
using a variational multiscale
stabilized formulation . . . . . . . . . 792--819
Utku Erdogan and
Gabriel J. Lord A new class of exponential integrators
for SDEs with multiplicative noise . . . 820--846
Xiaoyue Li and
Xuerong Mao and
George Yin Explicit numerical approximations for
stochastic differential equations in
finite and infinite horizons: truncation
methods, convergence in p th moment and
stability . . . . . . . . . . . . . . . 847--892
Fatih Ecevit and
Hasan Hüseyin Eruslu A Galerkin BEM for high-frequency
scattering problems based on
frequency-dependent changes of variables 893--923
George C. Hsiao and
Tonatiuh Sánchez-Vizuet and
Francisco-Javier Sayas and
Richard J. Weinacht A time-dependent wave-thermoelastic
solid interaction . . . . . . . . . . . 924--956
Guosheng Fu and
Yanyi Jin and
Weifeng Qiu Parameter-free superconvergent
H(div)-conforming HDG methods for the
Brinkman equations . . . . . . . . . . . 957--982
Christoph Erath and
Dirk Praetorius Adaptive vertex-centered finite volume
methods for general second-order linear
elliptic partial differential equations 983--1008
Sebastian Franz and
Sascha Trostorff and
Marcus Waurick Numerical methods for changing type
systems . . . . . . . . . . . . . . . . 1009--1038
Peter Jantsch and
Clayton G. Webster and
Guannan Zhang On the Lebesgue constant of weighted
Leja points for Lagrange interpolation
on unbounded domains . . . . . . . . . . 1039--1057
Xiaofan Yun and
Chenxiang Qin and
Jinbiao Wu and
Hui Zheng Uniform convergence of a multigrid
method for elliptic equations with
anisotropic coefficients . . . . . . . . 1058--1084
R. H. Nochetto and
D. Ntogkas and
W. Zhang Two-scale method for the Monge--Amp\`ere
equation: pointwise error estimates . . 1085--1109
J. M. Sanz-Serna and
Beibei Zhu A stroboscopic averaging algorithm for
highly oscillatory delay problems . . . 1110--1133
Lehel Banjai and
Christian Lubich Runge--Kutta convolution coercivity and
its use for time-dependent boundary
integral equations . . . . . . . . . . . 1134--1157
Alexandre Ern and
Iain Smears and
Martin Vohralík Equilibrated flux a posteriori error
estimates in $ L^2 (H^1) $-norms for
high-order discretizations of parabolic
problems . . . . . . . . . . . . . . . . 1158--1179
Max Gunzburger and
Nan Jiang and
Zhu Wang An efficient algorithm for simulating
ensembles of parameterized flow problems 1180--1205
David Hipp and
Marlis Hochbruck and
Christian Stohrer Unified error analysis for nonconforming
space discretizations of wave-type
equations . . . . . . . . . . . . . . . 1206--1245
Ching-pei Lee and
Stephen J. Wright Random permutations fix a worst case for
cyclic coordinate descent . . . . . . . 1246--1275
L. Adam and
M. Hintermüller and
T. M. Surowiec A semismooth Newton method with
analytical path-following for the $ H^1
$-projection onto the Gibbs simplex . . 1276--1295
Frank E. Curtis and
Daniel P. Robinson and
Mohammadreza Samadi An inexact regularized Newton framework
with a worst-case iteration complexity
of $ \mathscr {O}(\varepsilon^{-3 / 2})
$ for nonconvex optimization . . . . . . 1296--1327
Jarle Sogn and
Walter Zulehner Schur complement preconditioners for
multiple saddle point problems of block
tridiagonal form with application to
optimization problems . . . . . . . . . 1328--1359
Ben Adcock and
Rodrigo B. Platte and
Alexei Shadrin Optimal sampling rates for approximating
analytic functions from pointwise
samples . . . . . . . . . . . . . . . . 1360--1390
Tristan Jenschke Approximation of minimal surfaces with
free boundaries: convergence results . . 1391--1420
Timothy Duff and
Cvetelina Hill and
Anders Jensen and
Kisun Lee and
Anton Leykin and
Jeff Sommars Solving polynomial systems via homotopy
continuation and monodromy . . . . . . . 1421--1446
Jun Hu and
Mira Schedensack Two low-order nonconforming finite
element methods for the Stokes flow in
three dimensions . . . . . . . . . . . . 1447--1470
Gabriel Acosta and
Juan Pablo Borthagaray and
Norbert Heuer Finite element approximations of the
nonhomogeneous fractional Dirichlet
problem . . . . . . . . . . . . . . . . 1471--1501
Rodolfo Araya and
Manuel Solano and
Patrick Vega Analysis of an adaptive HDG method for
the Brinkman problem . . . . . . . . . . 1502--1528
Kenneth Czuprynski and
Joseph Eichholz and
Weimin Han Numerical analysis of the
energy-dependent radiative transfer
equation . . . . . . . . . . . . . . . . 1529--1562
Yoshihito Kazashi Quasi-Monte Carlo integration with
product weights for elliptic PDEs with
log-normal coefficients . . . . . . . . 1563--1593
Ruisheng Qi and
Xiaojie Wang Error estimates of finite element method
for semilinear stochastic strongly
damped wave equation . . . . . . . . . . 1594--1626
Pablo Antolin and
Annalisa Buffa and
Mathieu Fabre A priori error for unilateral contact
problems with Lagrange multipliers and
isogeometric analysis . . . . . . . . . 1627--1651
Michael Griebel and
Helmut Harbrecht Singular value decomposition versus
sparse grids: refined complexity
estimates . . . . . . . . . . . . . . . 1652--1671
Olga Gorynina and
Alexei Lozinski and
Marco Picasso Time and space adaptivity of the wave
equation discretized in time by a
second-order scheme . . . . . . . . . . 1672--1705
Helen Parks and
Melvin Leok Constructing equivalence-preserving
Dirac variational integrators with
forces . . . . . . . . . . . . . . . . . 1706--1726
Nicholas Hale An ultraspherical spectral method for
linear Fredholm and Volterra
integro-differential equations of
convolution type . . . . . . . . . . . . 1727--1746
Javier de Frutos and
Bosco García-Archilla and
Volker John and
Julia Novo Error analysis of non inf--sup stable
discretizations of the time-dependent
Navier--Stokes equations with local
projection stabilization . . . . . . . . 1747--1786
Alexey Chernov and
Lorenzo Mascotto The harmonic virtual element method:
stabilization and exponential
convergence for the Laplace problem on
polygonal domains . . . . . . . . . . . 1787--1817
T. Jahnke and
M. Mikl Adiabatic exponential midpoint rule for
the dispersion-managed nonlinear
Schrödinger equation . . . . . . . . . . 1818--1859
S. S. Ravindran Partitioned time-stepping scheme for an
MHD system with temperature-dependent
coefficients . . . . . . . . . . . . . . 1860--1887
Zhong-Zhi Bai Regularized HSS iteration methods for
stabilized saddle-point problems . . . . 1888--1923
Hussam Al Daas and
Laura Grigori and
Pascal Hénon and
Philippe Ricoux Enlarged GMRES for solving linear
systems with one or multiple right-hand
sides . . . . . . . . . . . . . . . . . 1924--1956
Ken'ichiro Tanaka and
Masaaki Sugihara Design of accurate formulas for
approximating functions in weighted
Hardy spaces by discrete energy
minimization . . . . . . . . . . . . . . 1957--1984
Wei Gong and
Wenbin Liu and
Zhiyu Tan and
Ningning Yan A convergent adaptive finite element
method for elliptic Dirichlet boundary
control problems . . . . . . . . . . . . 1985--2015
Bin Wang and
Xinyuan Wu The formulation and analysis of
energy-preserving schemes for solving
high-dimensional nonlinear Klein--Gordon
equations . . . . . . . . . . . . . . . 2016--2044
Radim Hosek and
Bangwei She Convergent numerical method for the
Navier--Stokes--Fourier system: a
stabilized scheme . . . . . . . . . . . 2045--2068
Olivier Fercoq and
Zheng Qu Adaptive restart of accelerated gradient
methods under local quadratic growth
condition . . . . . . . . . . . . . . . 2069--2095
Charles-Edouard Bréhier and
Jianbo Cui and
Jialin Hong Strong convergence rates of semidiscrete
splitting approximations for the
stochastic Allen--Cahn equation . . . . 2096--2134
Hakima Bessaih and
Annie Millet Strong $ |L^2 | $ convergence of time
numerical schemes for the stochastic
two-dimensional Navier--Stokes equations 2135--2167
Xiaoyue Li and
Xuerong Mao and
George Yin Corrigendum to: Explicit numerical
approximations for stochastic
differential equations in finite and
infinite horizons: truncation methods,
convergence in $p$ th moment and
stability . . . . . . . . . . . . . . . 2168--2168
Susanne C. Brenner and
Li-yeng Sung and
Joscha Gedicke $ P_1 $ finite element methods for an
elliptic optimal control problem with
pointwise state constraints . . . . . . 1--28
Andrea Bonito and
Vivette Girault and
Endre Süli Finite element approximation of a
strain-limiting elastic model . . . . . 29--86
Eberhard Bänsch and
Markus Gahn A mixed finite-element method for
elliptic operators with Wentzell
boundary condition . . . . . . . . . . . 87--108
Arnold Reusken Stream function formulation of surface
Stokes equations . . . . . . . . . . . . 109--139
Gilbert Peralta and
Karl Kunisch Analysis and finite element
discretization for optimal control of a
linear fluid-structure interaction
problem with delay . . . . . . . . . . . 140--206
Valeria Simoncini On the numerical solution of a class of
systems of linear matrix equations . . . 207--225
Ahmad Ahmad Ali and
Michael Hinze and
Heiko Kröner Optimal control of elliptic surface PDEs
with pointwise bounds on the state . . . 226--246
Rikard Anton and
David Cohen and
Lluis Quer-Sardanyons A fully discrete approximation of the
one-dimensional stochastic heat equation 247--284
Christian Rieger and
Holger Wendland Sampling inequalities for anisotropic
tensor product grids . . . . . . . . . . 285--321
David Mora and
Gonzalo Rivera A priori and a posteriori error
estimates for a virtual element spectral
analysis for the elasticity equations 322--357
Andrei Cozma and
Christoph Reisinger Strong order $ 1 / 2 $ convergence of
full truncation Euler approximations to
the Cox--Ingersoll--Ross process . . . . 358--376
Bangti Jin and
Buyang Li and
Zhi Zhou Pointwise-in-time error estimates for an
optimal control problem with
subdiffusion constraint . . . . . . . . 377--404
N. Chatterjee and
U. S. Fjordholm A convergent finite volume method for
the Kuramoto equation and related
nonlocal conservation laws . . . . . . . 405--421
John A. Evans and
Michael A. Scott and
Kendrick M. Shepherd and
Derek C. Thomas and
Rafael Vázquez Hernández Hierarchical B-spline complexes of
discrete differential forms . . . . . . 422--473
Thomas Apel and
Sergejs Rogovs and
Johannes Pfefferer and
Max Winkler Maximum norm error estimates for Neumann
boundary value problems on graded meshes 474--497
Oliver J. Sutton Long-time $ L^\infty (L^2) $ a
posteriori error estimates for fully
discrete parabolic problems . . . . . . 498--529
Nicolas Seguin and
Magali Tournus Asymptotic preserving discretization of
a Jin--Xin model with implicit
equilibrium manifold on a bounded domain 530--562
Tianxiang Liu and
Zhaosong Lu and
Xiaojun Chen and
Yu-Hong Dai An exact penalty method for
semidefinite-box-constrained low-rank
matrix optimization problems . . . . . . 563--586
Tomasz Hrycak and
Sebastian Schmutzhard Evaluation of Legendre polynomials by a
three-term recurrence in floating-point
arithmetic . . . . . . . . . . . . . . . 587--605
R. Boiger and
A. Leitão and
B. F. Svaiter Range-relaxed criteria for choosing the
Lagrange multipliers in nonstationary
iterated Tikhonov method . . . . . . . . 606--627
Clémentine Court\`es and
Frédéric Lagouti\`ere and
Frédéric Rousset Error estimates of finite difference
schemes for the Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 628--685
Yingxia Xi and
Xia Ji and
Shuo Zhang A multi-level mixed element scheme of
the two-dimensional Helmholtz
transmission eigenvalue problem . . . . 686--707
Fei Wang and
Huayi Wei Virtual element methods for the obstacle
problem . . . . . . . . . . . . . . . . 708--728
Ibrahima Dione Optimal error estimates of the
unilateral contact problem in a curved
and smooth boundary domain by the
penalty method . . . . . . . . . . . . . 729--763
Durkbin Cho and
Rafael Vázquez BPX preconditioners for isogeometric
analysis using analysis-suitable
T-splines . . . . . . . . . . . . . . . 764--799
Wei Gong and
Wenbin Liu and
Zhiyu Tan and
Ningning Yan Corrigendum to: A convergent adaptive
finite element method for elliptic
Dirichlet boundary control problems . . 800--800
Endre Süli and
Tabea Tscherpel Fully discrete finite element
approximation of unsteady flows of
implicitly constituted incompressible
fluids . . . . . . . . . . . . . . . . . 801--849
Hui Liang and
Hermann Brunner Collocation methods for
integro-differential algebraic equations
with index 1 . . . . . . . . . . . . . . 850--885
Max Gunzburger and
Traian Iliescu and
Michael Schneier A Leray regularized ensemble-proper
orthogonal decomposition method for
parameterized convection-dominated flows 886--913
Jan Blechta and
Josef Málek and
Martin Vohralík Localization of the $ W^{-1, q} $ norm
for local a posteriori efficiency . . . 914--950
Dietrich Braess and
Astrid S. Pechstein and
Joachim Schöberl An equilibration-based a posteriori
error bound for the biharmonic equation
and two finite element methods . . . . . 951--975
Matthew J. Colbrook Extending the unified transform:
curvilinear polygons and variable
coefficient PDEs . . . . . . . . . . . . 976--1004
Arnulf Jentzen and
Primoz Pusnik Strong convergence rates for an explicit
numerical approximation method for
stochastic evolution equations with
non-globally Lipschitz continuous
nonlinearities . . . . . . . . . . . . . 1005--1050
David Bolin and
Kristin Kirchner and
Mihály Kovács Numerical solution of fractional
elliptic stochastic PDEs with spatial
white noise . . . . . . . . . . . . . . 1051--1073
Zhihui Liu and
Zhonghua Qiao Strong approximation of monotone
stochastic partial differential
equations driven by white noise . . . . 1074--1093
Fabian Meyer and
Christian Rohde and
Jan Giesselmann A posteriori error analysis for random
scalar conservation laws using the
stochastic Galerkin method . . . . . . . 1094--1121
Rodolfo Araya and
Rodolfo Rodríguez and
Pablo Venegas Numerical analysis of a time domain
elastoacoustic problem . . . . . . . . . 1122--1153
Frank E. Curtis and
Daniel P. Robinson and
Baoyu Zhou A self-correcting variable-metric
algorithm framework for nonsmooth
optimization . . . . . . . . . . . . . . 1154--1187
Bingsheng He and
Feng Ma and
Xiaoming Yuan Optimal proximal augmented Lagrangian
method and its application to full
Jacobian splitting for multi-block
separable convex minimization problems 1188--1216
Can Huang and
Kim Ngan Le and
Martin Stynes A new analysis of a numerical method for
the time-fractional Fokker--Planck
equation with general forcing . . . . . 1217--1240
János Karátson and
Balázs Kovács and
Sergey Korotov Discrete maximum principles for
nonlinear elliptic finite element
problems on surfaces with boundary . . . 1241--1265
Wenfan Yi and
Yongyong Cai Optimal error estimates of finite
difference time domain methods for the
Klein--Gordon--Dirac system . . . . . . 1266--1293
Gianluca Frasca-Caccia and
Peter Ellsworth Hydon Simple bespoke preservation of two
conservation laws . . . . . . . . . . . 1294--1329
Wolfgang Erb A spectral interpolation scheme on the
unit sphere based on the nodes of
spherical Lissajous curves . . . . . . . 1330--1355
Weifeng Qiu and
Ke Shi A mixed DG method and an HDG method for
incompressible magnetohydrodynamics . . 1356--1389
Shuo Zhang Minimal consistent finite element space
for the biharmonic equation on
quadrilateral grids . . . . . . . . . . 1390--1406
Miguel A. Fernández and
Mikel Landajuela Splitting schemes and unfitted-mesh
methods for the coupling of an
incompressible fluid with a thin-walled
structure . . . . . . . . . . . . . . . 1407--1453
Javier A. Almonacid and
Hugo S. Díaz and
Gabriel N. Gatica and
Antonio Márquez A fully mixed finite element method for
the coupling of the Stokes and
Darcy--Forchheimer problems . . . . . . 1454--1502
T. Chaumont-Frelet and
S. Nicaise Wavenumber explicit convergence analysis
for finite element discretizations of
general wave propagation problems . . . 1503--1543
Verónica Anaya and
Mostafa Bendahmane and
David Mora and
Mauricio Sepúlveda A virtual element method for a nonlocal
FitzHugh--Nagumo model of cardiac
electrophysiology . . . . . . . . . . . 1544--1576
Gang Chen and
Jintao Cui On the error estimates of a hybridizable
discontinuous Galerkin method for
second-order elliptic problem with
discontinuous coefficients . . . . . . . 1577--1600
John W. Barrett and
Harald Garcke and
Robert Nürnberg Numerical approximation of curve
evolutions in Riemannian manifolds . . . 1601--1651
Peter Hansbo and
Mats G. Larson and
Karl Larsson Analysis of finite element methods for
vector Laplacians on surfaces . . . . . 1652--1701
Mats G. Larson and
Sara Zahedi Stabilization of high order cut finite
element methods on surfaces . . . . . . 1702--1745
Beiping Duan and
Raytcho D. Lazarov and
Joseph E. Pasciak Numerical approximation of fractional
powers of elliptic operators . . . . . . 1746--1771
Tomás Roubícek Coupled time discretization of dynamic
damage models at small strains . . . . . 1772--1791
Rapha\`ele Herbin and
Jean-Claude Latché and
Chady Zaza A cell-centred pressure-correction
scheme for the compressible Euler
equations . . . . . . . . . . . . . . . 1792--1837
Jay Gopalakrishnan and
Philip L. Lederer and
Joachim Schöberl A mass conserving mixed stress
formulation for the Stokes equations . . 1838--1874
Wee Chin Tan and
Viet Ha Hoang Sparse tensor product finite element
method for nonlinear multiscale
variational inequalities of monotone
type . . . . . . . . . . . . . . . . . . 1875--1907
Paul Breiding and
Nick Vannieuwenhoven On the average condition number of
tensor rank decompositions . . . . . . . 1908--1936
Mirjam Walloth Residual-type a posteriori error
estimator for a quasi-static Signorini
contact problem . . . . . . . . . . . . 1937--1971
Martin D. Buhmann and
Stefano De Marchi and
Emma Perracchione Analysis of a new class of rational RBF
expansions . . . . . . . . . . . . . . . 1972--1993
Daniel Fortunato and
Alex Townsend Fast Poisson solvers for spectral
methods . . . . . . . . . . . . . . . . 1994--2018
James Bremer and
Haizhao Yang Fast algorithms for Jacobi expansions
via nonoscillatory phase functions . . . 2019--2051
Takashi Goda Richardson extrapolation allows
truncation of higher-order digital nets
and sequences . . . . . . . . . . . . . 2052--2075
Dimitra C. Antonopoulou Space--time discontinuous Galerkin
methods for the $ \epsilon $-dependent
stochastic Allen--Cahn equation with
mild noise . . . . . . . . . . . . . . . 2076--2105
A. Allendes and
F. Fuica and
E. Otárola Adaptive finite element methods for
sparse PDE-constrained optimization . . 2106--2142
Martina Hofmanová and
Marvin Knöller and
Katharina Schratz Randomized exponential integrators for
modulated nonlinear Schrödinger equations 2143--2162
Alexandre Ern and
Pietro Zanotti A quasi-optimal variant of the hybrid
high-order method for elliptic partial
differential equations with $ H^{-1} $
loads . . . . . . . . . . . . . . . . . 2163--2188
Karol L. Cascavita and
Franz Chouly and
Alexandre Ern Hybrid high-order discretizations
combined with Nitsche's method for
Dirichlet and Signorini boundary
conditions . . . . . . . . . . . . . . . 2189--2226
Eduard Feireisl and
Mária Lukácová-Medvidová and
Hana Mizerová $K$-convergence as a new tool in
numerical analysis . . . . . . . . . . . 2227--2255
Sabine Bögli and
Marco Marletta Essential numerical ranges for linear
operator pencils . . . . . . . . . . . . 2256--2308
Stefania Bellavia and
Natasa Kreji\'c and
Natasa Krklec Jerinki\'c Subsampled inexact Newton methods for
minimizing large sums of convex
functions . . . . . . . . . . . . . . . 2309--2341
Fatih Kangal and
Emre Mengi Nonsmooth algorithms for minimizing the
largest eigenvalue with applications to
inner numerical radius . . . . . . . . . 2342--2376
Gabriel R. Barrenechea and
Andreas Wachtel The inf--sup stability of the lowest
order Taylor--Hood pair on affine
anisotropic meshes . . . . . . . . . . . 2377--2398
Alexander Ostermann and
Chunmei Su A Lawson-type exponential integrator for
the Korteweg--de Vries equation . . . . 2399--2414
D. C. Antonopoulos and
V. A. Dougalis and
G. Kounadis On the standard Galerkin method with
explicit RK4 time stepping for the
shallow water equations . . . . . . . . 2415--2449
A. Cangiani and
P. Chatzipantelidis and
G. Diwan and
E. H. Georgoulis Virtual element method for quasilinear
elliptic problems . . . . . . . . . . . 2450--2472
Claire Chainais-Hillairet and
Maxime Herda Large-time behaviour of a family of
finite volume schemes for
boundary-driven convection-diffusion
equations . . . . . . . . . . . . . . . 2473--2504
Dominic Breit and
Prince Romeo Mensah Space--time approximation of parabolic
systems with variable growth . . . . . . 2505--2552
Christian Kreuzer and
Pietro Zanotti Quasi-optimal and pressure-robust
discretizations of the Stokes equations
by new augmented Lagrangian formulations 2553--2583
Hussain A. Ibdah and
Cecilia F. Mondaini and
Edriss S. Titi Fully discrete numerical schemes of a
data assimilation algorithm:
uniform-in-time error estimates . . . . 2584--2625
André Uschmajew and
Bart Vandereycken On critical points of quadratic low-rank
matrix optimization problems . . . . . . 2626--2651
Damek Davis and
Dmitriy Drusvyatskiy and
Courtney Paquette The nonsmooth landscape of phase
retrieval . . . . . . . . . . . . . . . 2652--2695
Changjie Fang and
Kenneth Czuprynski and
Weimin Han and
Xiaoliang Cheng and
Xiaoxia Dai Finite element method for a stationary
Stokes hemivariational inequality with
slip boundary condition . . . . . . . . 2696--2716
Denis Devaud Petrov--Galerkin space--time $ h
p$-approximation of parabolic equations
in H$^{1 \slash 2}$ . . . . . . . . . . 2717--2745
Shunki Kyoya and
Ken'ichiro Tanaka Construction of conformal maps based on
the locations of singularities for
improving the double exponential formula 2746--2776
Olivier S\`ete and
Jan Zur A Newton method for harmonic mappings in
the plane . . . . . . . . . . . . . . . 2777--2801
Giovanni Di Fratta and
Carl-Martin Pfeiler and
Dirk Praetorius and
Michele Ruggeri and
Bernhard Stiftner Linear second-order IMEX-type integrator
for the (eddy current)
Landau--Lifshitz--Gilbert equation . . . 2802--2838
Harbir Antil and
Thomas S. Brown and
Francisco-Javier Sayas A problem in control of elastodynamics
with piezoelectric effects . . . . . . . 2839--2870
Lina Zhao and
Eun-Jae Park A lowest-order staggered DG method for
the coupled Stokes--Darcy problem . . . 2871--2897
Wei Gong and
Buyang Li Improved error estimates for
semidiscrete finite element solutions of
parabolic Dirichlet boundary control
problems . . . . . . . . . . . . . . . . 2898--2939
Nicolas Boumal and
P-A. Absil and
Coralia Cartis Erratum to: ``Global rates of
convergence for nonconvex optimization
on manifolds'' . . . . . . . . . . . . . 2940--2940
Martin D. Buhmann and
Stefano De Marchi and
Emma Perracchione Erratum to: Analysis of a new class of
rational RBF expansions . . . . . . . . 2941--2941
Fatih Kangal and
Emre Mengi Erratum to: Nonsmooth algorithms for
minimizing the largest eigenvalue with
applications to inner numerical radius 2942--2942
Azam Asl and
Michael L. Overton Analysis of limited-memory BFGS on a
class of nonsmooth convex functions . . 1--27
Rob Stevenson and
Jan Westerdiep Stability of Galerkin discretizations of
a mixed space--time variational
formulation of parabolic evolution
equations . . . . . . . . . . . . . . . 28--47
Thomas Jankuhn and
Arnold Reusken Trace finite element methods for surface
vector-Laplace equations . . . . . . . . 48--83
Michael O'Neill and
Stephen J. Wright A log-barrier Newton--CG method for
bound constrained optimization with
complexity guarantees . . . . . . . . . 84--121
David Maltese and
Antonín Novotný Implicit MAC scheme for compressible
Navier--Stokes equations: low Mach
asymptotic error estimates . . . . . . . 122--163
Carsten Carstensen and
Gouranga Mallik and
Neela Nataraj Nonconforming finite element
discretization for semilinear problems
with trilinear nonlinearity . . . . . . 164--205
Sheehan Olver and
Yuan Xu Orthogonal structure on a quadratic
curve . . . . . . . . . . . . . . . . . 206--246
Ran Gu and
Qiang Du A modified limited memory steepest
descent method motivated by an inexact
super-linear convergence rate analysis 247--270
Clément Canc\`es and
Claire Chainais-Hillairet and
Jürgen Fuhrmann and
Beno\^\it Gaudeul A numerical-analysis-focused comparison
of several finite volume schemes for a
unipolar degenerate drift-diffusion
model . . . . . . . . . . . . . . . . . 271--314
Hél\`ene Barucq and
M'Barek Fares and
Carola Kruse and
Sébastien Tordeux Sparsified discrete wave problem
involving a radiation condition on a
prolate spheroidal surface . . . . . . . 315--343
Rodolfo Araya and
Ramiro Rebolledo and
Frédéric Valentin On a multiscale a posteriori error
estimator for the Stokes and Brinkman
equations . . . . . . . . . . . . . . . 344--380
Mario Alvarez and
Gabriel N. Gatica and
Ricardo Ruiz-Baier A mixed-primal finite element method for
the coupling of Brinkman--Darcy flow and
nonlinear transport . . . . . . . . . . 381--411
Jens Markus Melenk and
Alexander Rieder hp-FEM for the fractional heat equation 412--454
Arnulf Jentzen and
Benno Kuckuck and
Ariel Neufeld and
Philippe von Wurstemberger Strong error analysis for stochastic
gradient descent optimization algorithms 455--492
Sonja Cox and
Martin Hutzenthaler and
Arnulf Jentzen and
Jan van Neerven and
Timo Welti Convergence in Hölder norms with
applications to Monte Carlo methods in
infinite dimensions . . . . . . . . . . 493--548
Simon Lemaire Bridging the hybrid high-order and
virtual element methods . . . . . . . . 549--593
Sergio Blanes and
Fernando Casas and
Cesáreo González and
Mechthild Thalhammer Convergence analysis of high-order
commutator-free quasi-Magnus exponential
integrators for nonautonomous linear
Schrödinger equations . . . . . . . . . . 594--617
Christophe Besse and
Stéphane Descombes and
Guillaume Dujardin and
Ingrid Lacroix-Violet Energy-preserving methods for nonlinear
Schrödinger equations . . . . . . . . . . 618--653
Hendrik Ranocha On strong stability of explicit
Runge--Kutta methods for nonlinear
semibounded operators . . . . . . . . . 654--682
David Hipp and
Balázs Kovács Finite element error analysis of wave
equations with dynamic boundary
conditions: L$^2$ estimates . . . . . . 638--728
Emanuel H. Rubensson and
Anton G. Artemov and
Anastasia Kruchinina and
Elias Rudberg Localized inverse factorization . . . . 729--763
Stefania Bellavia and
Gianmarco Gurioli and
Benedetta Morini Adaptive cubic regularization methods
with dynamic inexact Hessian information
and applications to finite-sum
minimization . . . . . . . . . . . . . . 764--799
Thomas Führer and
Alexander Haberl and
Norbert Heuer Erratum to: ``Trace operators of the
bi-Laplacian and applications'' . . . . 800--800
Bengt Fornberg An algorithm for calculating
Hermite-based finite difference weights 801--813
Fei Wang and
Jikun Zhao Conforming and nonconforming virtual
element methods for a Kirchhoff plate
contact problem . . . . . . . . . . . . 1496--1521
Thomas Führer and
Alexander Haberl and
Norbert Heuer Trace operators of the bi-Laplacian and
applications . . . . . . . . . . . . . . 1031--1055
Xiangcheng Zheng and
Hong Wang Optimal-order error estimates of finite
element approximations to variable-order
time-fractional diffusion equations
without regularity assumptions of the
true solutions . . . . . . . . . . . . . 1522--1545
Ion Necoara and
Martin Takác Randomized sketch descent methods for
non-separable linearly constrained
optimization . . . . . . . . . . . . . . 1056--1092
Phung Van Manh Hermite interpolation on the unit sphere
and limits of Lagrange projectors . . . 1441--1464
Yangshuai Wang and
Lei Zhang and
Hao Wang A priori analysis of a higher-order
nonlinear elasticity model for an
atomistic chain with periodic boundary
condition . . . . . . . . . . . . . . . 1465--1495
J. F. van Diejen and
E. Emsiz Cubature rules from Hall--Littlewood
polynomials . . . . . . . . . . . . . . 998--1030
Charlotte Perrin and
Khaled Saleh A convergent FV-FE scheme for the
stationary compressible Navier--Stokes
equations . . . . . . . . . . . . . . . 826--899
Hu Chen and
Martin Stynes Blow-up of error estimates in
time-fractional initial-boundary value
problems . . . . . . . . . . . . . . . . 974--997
Norikazu Saito Variational analysis of the
discontinuous Galerkin time-stepping
method for parabolic equations . . . . . 1267--1292
Sergey Dolgov and
Tomás Vejchodský Guaranteed a posteriori error bounds for
low-rank tensor approximate solutions 1240--1266
Andreas Neuenkirch and
Michaela Szölgyenyi The Euler--Maruyama scheme for SDEs with
irregular drift: convergence rates via
reduction to a quadrature problem . . . 1164--1196
Ruma Rani Maity and
Apala Majumdar and
Neela Nataraj Discontinuous Galerkin finite element
methods for the Landau--de Gennes
minimization problem of liquid crystals 1130--1163
Bosco García-Archilla and
Volker John and
Julia Novo Symmetric pressure stabilization for
equal-order finite element
approximations to the time-dependent
Navier--Stokes equations . . . . . . . . 1093--1129
Olivier Bokanowski and
Kristian Debrabant Backward differentiation formula finite
difference schemes for diffusion
equations with an obstacle term . . . . 900--934
Geovani Nunes Grapiglia and
Ya-xiang Yuan On the complexity of an augmented
Lagrangian method for nonconvex
optimization . . . . . . . . . . . . . . 1546--1568
Georgios Akrivis and
Buyang Li Linearization of the finite element
method for gradient flows by Newton's
method . . . . . . . . . . . . . . . . . 1411--1440
Vitoriano Ruas Optimal-rate finite-element solution of
Dirichlet problems in curved domains
with straight-edged tetrahedra . . . . . 1368--1410
Michael Kraus and
Tomasz M. Tyranowski Variational integrators for stochastic
dissipative Hamiltonian systems . . . . 1318--1367
Giovanni Migliorati Multivariate approximation of functions
on irregular domains by weighted
least-squares methods . . . . . . . . . 1293--1317
Bengt Fornberg Contour integrals of analytic functions
given on a grid in the complex plane . . 814--825
Jialin Hong and
Chuying Huang and
Xu Wang Optimal rate of convergence for two
classes of schemes to stochastic
differential equations driven by
fractional Brownian motions . . . . . . 1608--1638
Andrew Gibbs and
Simon N. Chandler-Wilde and
Stephen Langdon and
Andrea Moiola A high-frequency boundary element method
for scattering by a class of multiple
obstacles . . . . . . . . . . . . . . . 1197--1225
Minah Oh The Hodge Laplacian on axisymmetric
domains and its discretization . . . . . 1569--1607
Esther S. Daus and
Ansgar Jüngel and
Antoine Zurek Convergence of a finite-volume scheme
for a degenerate-singular
cross-diffusion system for biofilms . . 935--973
Anonymous John W. Barrett 29 June 1955,
Wimbledon--30 June 2019, Wimbledon . . . 1639--1639
John W. Barrett and
Klaus Deckelnick and
Robert Nürnberg A finite element error analysis for
axisymmetric mean curvature flow . . . . 1641--1667
John W. Barrett and
Klaus Deckelnick and
Vanessa Styles A practical phase field method for an
elliptic surface PDE . . . . . . . . . . 1668--1695
C. M. Elliott and
T. Ranner A unified theory for continuous-in-time
evolving finite element space
approximations to partial differential
equations in evolving domains . . . . . 1696--1845
Lars Diening and
Toni Scharle and
Endre Süli Uniform Hölder-norm bounds for finite
element approximations of second-order
elliptic equations . . . . . . . . . . . 1846--1898
Harald Garcke and
Robert Nürnberg Structure-preserving discretizations of
gradient flows for axisymmetric
two-phase biomembranes . . . . . . . . . 1899--1940
Wenbo Li and
Ricardo H. Nochetto Quantitative stability and error
estimates for optimal transport plans 1941--1965
Dominik Schötzau and
Carlo Marcati and
Christoph Schwab Exponential convergence of mixed
hp-DGFEM for the incompressible
Navier--Stokes equations in $ R^2 $ . . 1966--1999
Arbaz Khan and
David J. Silvester Robust a posteriori error estimation for
mixed finite element approximation of
linear poroelasticity . . . . . . . . . 2000--2025
Quan Zhao and
Wei Jiang and
Weizhu Bao An energy-stable parametric finite
element method for simulating
solid-state dewetting . . . . . . . . . 2026--2055
Pratyuksh Bansal and
Andrea Moiola and
Ilaria Perugia and
Christoph Schwab Space--time discontinuous Galerkin
approximation of acoustic waves with
point singularities . . . . . . . . . . 2056--2109
Dominic Breit and
Lars Diening and
Johannes Storn and
Jörn Wichmann The parabolic $p$-Laplacian with
fractional differentiability . . . . . . 2110--2138
Shihua Gong and
Ivan G. Graham and
Euan A. Spence Domain decomposition preconditioners for
high-order discretizations of the
heterogeneous Helmholtz equation . . . . 2139--2185
Lubomír Banas and
Robert Lasarzik and
Andreas Prohl Numerical analysis for nematic
electrolytes . . . . . . . . . . . . . . 2186--2254
Sören Bartels Simulation of constrained elastic curves
and application to a conical sheet
indentation problem . . . . . . . . . . 2255--2279
Xiaobing Feng and
Andreas Prohl and
Liet Vo Optimally convergent mixed finite
element methods for the stochastic
Stokes equations . . . . . . . . . . . . 2280--2310
Pierre Blanchard and
Desmond J. Higham and
Nicholas J. Higham Accurately computing the log-sum-exp and
softmax functions . . . . . . . . . . . 2311--2330
Ivan G. Graham and
Matthew J. Parkinson and
Robert Scheichl Error analysis and uncertainty
quantification for the heterogeneous
transport equation in slab geometry . . 2331--2361
Erik Burman and
Guillaume Delay and
Alexandre Ern An unfitted hybrid high-order method for
the Stokes interface problem . . . . . . 2362--2387
Eduard Feireisl and
Mária Lukácová-Medvidová and
Hana Mizerová and
Bangwei She On the convergence of a finite volume
method for the Navier--Stokes--Fourier
system . . . . . . . . . . . . . . . . . 2388--2422
Eric Canc\`es and
Genevi\`eve Dusson and
Yvon Maday and
Benjamin Stamm and
Martin Vohralík Post-processing of the planewave
approximation of Schrödinger equations.
Part I: linear operators . . . . . . . . 2423--2455
Genevi\`eve Dusson Post-processing of the plane-wave
approximation of Schrödinger equations.
Part II: Kohn--Sham models . . . . . . . 2456--2487
Ran Gu and
Qiang Du and
Ya-xiang Yuan Positive semidefinite penalty method for
quadratically constrained quadratic
programming . . . . . . . . . . . . . . 2488--2515
Nicola Mastronardi and
Paul Van Dooren On $ Q Z $ steps with perfect shifts and
computing the index of a
differential--algebraic equation . . . . 2516--2529
Matania Ben-Artzi and
Benjamin Kramer Finite difference approach to
fourth-order linear boundary-value
problems . . . . . . . . . . . . . . . . 2530--2561
Felix Lindner and
Holger Stroot Strong convergence of a half-explicit
Euler scheme for constrained stochastic
mechanical systems . . . . . . . . . . . 2562--2607
Stephan Dahlke and
Ulrich Friedrich and
Philipp Keding and
Alexander Sieber and
Thorsten Raasch Adaptive quarkonial domain decomposition
methods for elliptic partial
differential equations . . . . . . . . . 2608--2638
Sebastian Engel and
Boris Vexler and
Philip Trautmann Optimal finite element error estimates
for an optimal control problem governed
by the wave equation with controls of
bounded variation . . . . . . . . . . . 2639--2667
Gilles Pag\`es and
Abass Sagna Weak and strong error analysis of
recursive quantization: a general
approach with an application to jump
diffusions . . . . . . . . . . . . . . . 2668--2707
Sergio Caucao and
Ivan Yotov A Banach space mixed formulation for the
unsteady Brinkman--Forchheimer equations 2708--2743
S. Brugiapaglia and
S. Micheletti and
F. Nobile and
S. Perotto Wavelet-Fourier CORSING techniques for
multidimensional
advection-diffusion-reaction equations 2744--2781
Yuga Iguchi and
Toshihiro Yamada A second-order discretization for
degenerate systems of stochastic
differential equations . . . . . . . . . 2782--2829
Andrea Bressan and
Michael S. Floater and
Espen Sande On best constants in $ L^2 $
approximation . . . . . . . . . . . . . 2830--2840
Sara Pollock and
Leo G. Rebholz Anderson acceleration for contractive
and noncontractive operators . . . . . . 2841--2872
Erik Eikeland and
Leszek Marcinkowski and
Talal Rahman An adaptively enriched coarse space for
Schwarz preconditioners for $ P_1 $
discontinuous Galerkin multiscale finite
element problems . . . . . . . . . . . . 2873--2895
Steffen Börm and
Maria Lopez-Fernandez and
Stefan A. Sauter Variable order, directional $ H^2
$-matrices for Helmholtz problems with
complex frequency . . . . . . . . . . . 2896--2935
Caroline Moosmüller and
Svenja Hüning and
Costanza Conti Stirling numbers and Gregory
coefficients for the factorization of
Hermite subdivision operators . . . . . 2936--2961
A. Leitão and
F. Margotti and
B. F. Svaiter Range-relaxed criteria for choosing the
Lagrange multipliers in the
Levenberg--Marquardt method . . . . . . 2962--2989
Gang Chen and
Weifeng Qiu and
Liwei Xu Analysis of an interior penalty DG
method for the quad-curl problem . . . . 2990--3023
Chunxiong Zheng and
Xiang Ma Fast algorithm for the three-dimensional
Poisson equation in infinite domains . . 3024--3045
G. Deugoué and
B. Jidjou Moghomye and
T. Tachim Medjo Fully discrete finite element
approximation of the stochastic
Cahn--Hilliard--Navier--Stokes system 3046--3112
Naveed Ahmed and
Gunar Matthies Higher-order discontinuous Galerkin time
discretizations for the evolutionary
Navier--Stokes equations . . . . . . . . 3113--3144
Minghua Chen and
Wenya Qi and
Jiankang Shi and
Jiming Wu A sharp error estimate of piecewise
polynomial collocation for nonlocal
problems with weakly singular kernels 3145--3174
Huadong Gao and
Weiwei Sun and
Chengda Wu Optimal error estimates and recovery
technique of a mixed finite element
method for nonlinear thermistor
equations . . . . . . . . . . . . . . . 3175--3200
Lehel Banjai and
Christian Lubich and
Jörg Nick Time-dependent acoustic scattering from
generalized impedance boundary
conditions via boundary elements and
convolution quadrature . . . . . . . . . 1--26
Vincent Coppé and
Daan Huybrechs On the adaptive spectral approximation
of functions using redundant sets and
frames . . . . . . . . . . . . . . . . . 27--53
Marta Benítez and
Bernardo Cockburn Post-processing for spatial
accuracy-enhancement of pure
Lagrange--Galerkin schemes applied to
convection-diffusion equations . . . . . 54--77
Alexander Effland and
Behrend Heeren and
Martin Rumpf and
Benedikt Wirth Consistent curvature approximation on
Riemannian shape spaces . . . . . . . . 78--106
Young-Sam Kwon and
Antonín Novotný Consistency, convergence and error
estimates for a mixed finite
element-finite volume scheme to
compressible Navier--Stokes equations
with general inflow/outflow boundary
data . . . . . . . . . . . . . . . . . . 107--164
W. Arendt and
I. Chalendar and
R. Eymard Galerkin approximation of linear
problems in Banach and Hilbert spaces 165--198
Max Jensen and
Axel Målqvist and
Anna Persson Finite element convergence for the
time-dependent Joule heating problem
with mixed boundary conditions . . . . . 199--228
Thomas Müller-Gronbach and
Larisa Yaroslavtseva A strong order $ 3 / 4 $ method for SDEs
with discontinuous drift coefficient . . 229--259
Luigi C. Berselli and
Michael Ruzicka Space-time discretization for nonlinear
parabolic systems with $p$-structure . . 260--299
Sebastian Scholtes and
Henrik Schumacher and
Max Wardetzky Variational convergence of discrete
elasticae . . . . . . . . . . . . . . . 300--332
Erik Burman and
Cuiyu He and
Mats G. Larson \em A posteriori error estimates with
boundary correction for a cut finite
element method . . . . . . . . . . . . . 333--362
Georgios Akrivis and
Buyang Li Error estimates for fully discrete BDF
finite element approximations of the
Allen--Cahn equation . . . . . . . . . . 363--391
Thomas Apel and
Volker Kempf and
Alexander Linke and
Christian Merdon A nonconforming pressure-robust finite
element method for the Stokes equations
on anisotropic meshes . . . . . . . . . 392--416
S. Dahlke and
T. M. Surowiec Wavelet-based approximations of
pointwise bound constraints in Lebesgue
and Sobolev spaces . . . . . . . . . . . 417--439
Stefan Metzger A convergent finite element scheme for a
fourth-order liquid crystal model . . . 440--486
Da Xu Application of the Crank--Nicolson time
integrator to viscoelastic wave
equations with boundary feedback damping 487--514
Léo Agélas and
Martin Schneider and
Guillaume Enchéry and
Bernd Flemisch Convergence of nonlinear finite volume
schemes for two-phase porous media flow
on general meshes . . . . . . . . . . . 515--568
Paul Escande and
Pierre Weiss Fast wavelet decomposition of linear
operators through product-convolution
expansions . . . . . . . . . . . . . . . 569--596
Derk Frerichs and
Christian Merdon Divergence-preserving reconstructions on
polygons and a really pressure-robust
virtual element method for the Stokes
problem . . . . . . . . . . . . . . . . 597--619
Yuwen Li and
Ludmil T. Zikatanov Residual-based a posteriori error
estimates of mixed methods for a
three-field Biot's consolidation model 620--648
Hong-lin Liao and
Bingquan Ji and
Luming Zhang An adaptive BDF2 implicit time-stepping
method for the phase field crystal model 649--679
Youhan Fang and
Yudong Cao and
Robert D. Skeel Quasi-reliable estimates of effective
sample size . . . . . . . . . . . . . . 680--697
Svenja Hüning and
Johannes Wallner Convergence analysis of subdivision
processes on the sphere . . . . . . . . 698--711
Sheng Chen and
Jie Shen Log orthogonal functions: approximation
properties and applications . . . . . . 712--743
Warren Hare and
Gabriel Jarry-Bolduc and
Chayne Planiden Error bounds for overdetermined and
underdetermined generalized centred
simplex gradients . . . . . . . . . . . 744--770
Huoyuan Duan and
Jiwei Cao and
Ping Lin and
Roger C. E. Tan Approximation of singular solutions and
singular data for Maxwell's equations by
Lagrange elements . . . . . . . . . . . 771--816
Ruo Li and
Qicheng Liu and
Fanyi Yang A discontinuous least squares finite
element method for time-harmonic Maxwell
equations . . . . . . . . . . . . . . . 817--839
Dai Taguchi and
Akihiro Tanaka and
Tomooki Yuasa $ L^q $-error estimates for
approximation of irregular functionals
of random vectors . . . . . . . . . . . 840--873
Gonçalo dos Reis and
Stefan Engelhardt and
Greig Smith Simulation of McKean--Vlasov SDEs with
super-linear growth . . . . . . . . . . 874--922
Monika Eisenmann and
Eskil Hansen A variational approach to the sum
splitting scheme . . . . . . . . . . . . 923--950
Nicholas J. Higham and
Theo Mary Solving block low-rank linear systems by
$ L U $ factorization is numerically
stable . . . . . . . . . . . . . . . . . 951--980
Siddhartha Mishra and
Roberto Molinaro Estimates on the generalization error of
physics-informed neural networks for
approximating a class of inverse
problems for PDEs . . . . . . . . . . . 981--1022
Alexandre Ern and
Thirupathi Gudi and
Iain Smears and
Martin Vohralík Equivalence of local- and global-best
approximations, a simple stable local
commuting projector, and optimal hp
approximation estimates in $ H ({\rm
div}) $ . . . . . . . . . . . . . . . . 1023--1049
Bernardo Cockburn and
Shiqiang Xia An a priori error analysis of
adjoint-based super-convergent Galerkin
approximations of linear functionals . . 1050--1086
Pieter Lietaert and
Karl Meerbergen and
Javier Pérez and
Bart Vandereycken Automatic rational approximation and
linearization of nonlinear eigenvalue
problems . . . . . . . . . . . . . . . . 1087--1115
Adrian M. Ruf Flux-stability for conservation laws
with discontinuous flux and convergence
rates of the front tracking method . . . 1116--1142
Jérôme Droniou and
Beniamin Goldys and
Kim-Ngan Le Design and convergence analysis of
numerical methods for stochastic
evolution equations with Leray--Lions
operator . . . . . . . . . . . . . . . . 1143--1179
Jérôme Droniou and
Neela Nataraj and
Gopikrishnan C. Remesan Convergence analysis of a numerical
scheme for a tumour growth model . . . . 1180--1230
K. Brenner and
R. Masson and
E. H. Quenjel and
J. Droniou Total velocity-based finite volume
discretization of two-phase Darcy flow
in highly heterogeneous media with
discontinuous capillary pressure . . . . 1231--1272
P. F. Antonietti and
S. Berrone and
A. Borio and
A. D'Auria and
M. Verani and
S. Weisser Anisotropic a posteriori error
estimate for the virtual element method 1273--1312
Barbara Verfürth Numerical homogenization for nonlinear
strongly monotone problems . . . . . . . 1313--1338
Fleurianne Bertrand and
Daniele Boffi First order least-squares formulations
for eigenvalue problems . . . . . . . . 1339--1363
Andreas Dedner and
Alice Hodson Robust nonconforming virtual element
methods for general fourth-order
problems with varying coefficients . . . 1364--1399
Bernard Deconinck and
Thomas Trogdon and
Xin Yang The numerical unified transform method
for initial-boundary value problems on
the half-line . . . . . . . . . . . . . 1400--1433
Gregor Gantner and
Dirk Praetorius Plain convergence of adaptive algorithms
without exploiting reliability and
efficiency . . . . . . . . . . . . . . . 1434--1453
Dario A. Bini and
Guy Latouche and
Beatrice Meini A family of fast fixed point iterations
for M/G/1-type Markov chains . . . . . . 1454--1477
Stefan Güttel and
John W. Pearson A spectral-in-time Newton--Krylov method
for nonlinear PDE-constrained
optimization . . . . . . . . . . . . . . 1478--1499
Martin Buhmann and
Janin Jäger Strictly positive definite kernels on
the 2-sphere: from radial symmetry to
eigenvalue block structure . . . . . . . 1500--1525
Ananta K. Majee and
Andreas Prohl \em A posteriori error estimation and
space--time adaptivity for a linear
stochastic PDE with additive noise . . . 1526--1567
Yongbin Han and
Yanren Hou Semirobust analysis of an $ H ({\rm
div}) $-conforming DG method with
semi-implicit time-marching for the
evolutionary incompressible
Navier--Stokes equations . . . . . . . . 1568--1597
Lidia Aceto and
Paolo Novati Fast and accurate approximations to
fractional powers of operators . . . . . 1598--1622
Philippe Chartier and
Mohammed Lemou and
Florian Méhats and
Xiaofei Zhao Derivative-free high-order uniformly
accurate schemes for highly oscillatory
systems . . . . . . . . . . . . . . . . 1623--1644
Alexey Kuznetsov and
Justin Miles On the rate of convergence of the
Gaver--Stehfest algorithm . . . . . . . 1645--1664
Manuel Solano and
Sébastien Terrana and
Ngoc-Cuong Nguyen and
Jaime Peraire An HDG method for dissimilar meshes . . 1665--1699
Buyang Li Maximal regularity of multistep fully
discrete finite element methods for
parabolic equations . . . . . . . . . . 1700--1734
Roberto Andreani and
Alberto Ramos and
Ademir A. Ribeiro and
Leonardo D. Secchin and
Ariel R. Velazco On the convergence of augmented
Lagrangian strategies for nonlinear
programming . . . . . . . . . . . . . . 1735--1765
L. Song and
L. N. Vicente Modeling Hessian-vector products in
nonlinear optimization: new Hessian-free
methods . . . . . . . . . . . . . . . . 1766--1788
Xiao Tang and
Jie Xiong Stability analysis of general multistep
methods for Markovian backward
stochastic differential equations . . . 1789--1805
B. Borsos and
J. Karátson Quasi-Newton variable preconditioning
for nonlinear nonuniformly monotone
elliptic problems posed in Banach spaces 1806--1830
Mariam Al-Maskari and
Samir Karaa The time-fractional Cahn--Hilliard
equation: analysis and approximation . . 1831--1865
Dominik Edelmann Finite element analysis for a diffusion
equation on a harmonically evolving
domain . . . . . . . . . . . . . . . . . 1866--1901
Sören Bartels and
Christian Palus Stable gradient flow discretizations for
simulating bilayer plate bending with
isometry and obstacle constraints . . . 1903--1928
Peter Monk and
Yangwen Zhang An HDG method for the Steklov eigenvalue
problem . . . . . . . . . . . . . . . . 1929--1962
Marlis Hochbruck and
Bernhard Maier Error analysis for space discretizations
of quasilinear wave-type equations . . . 1963--1990
Lukas Gonon and
Philipp Grohs and
Arnulf Jentzen and
David Kofler and
David Siska Uniform error estimates for artificial
neural network approximations for heat
equations . . . . . . . . . . . . . . . 1991--2054
Philipp Grohs and
Lukas Herrmann Deep neural network approximation for
high-dimensional elliptic PDEs with
boundary conditions . . . . . . . . . . 2055--2082
Katherine Baker and
Lehel Banjai Numerical analysis of a wave equation
for lossy media obeying a frequency
power law . . . . . . . . . . . . . . . 2083--2117
Peter Benner and
Tony Stillfjord and
Christoph Trautwein A linear implicit Euler method for the
finite element discretization of a
controlled stochastic heat equation . . 2118--2150
Omar Lakkis and
Amireh Mousavi A least-squares Galerkin approach to
gradient and Hessian recovery for
nondivergence-form elliptic equations 2151--2189
Alex Bespalov and
Dirk Praetorius and
Michele Ruggeri Convergence and rate optimality of
adaptive multilevel stochastic Galerkin
FEM . . . . . . . . . . . . . . . . . . 2190--2213
Robert Altmann and
Roland Herzog Continuous Galerkin schemes for
semiexplicit differential-algebraic
equations . . . . . . . . . . . . . . . 2214--2237
Meng Li and
Jikun Zhao and
Chengming Huang and
Shaochun Chen Conforming and nonconforming VEMs for
the fourth-order reaction-subdiffusion
equation: a unified framework . . . . . 2238--2300
Wenyan Kang and
Bernard A. Egwu and
Yubin Yan and
Amiya K. Pani Galerkin finite element approximation of
a stochastic semilinear fractional
subdiffusion with fractionally
integrated additive noise . . . . . . . 2301--2335
Rong An and
Weiwei Sun Analysis of backward Euler projection
FEM for the Landau--Lifshitz equation 2336--2360
André Schlichting and
Christian Seis The Scharfetter--Gummel scheme for
aggregation-diffusion equations . . . . 2361--2402
Olivier S\`ete and
Jan Zur The transport of images method:
computing all zeros of harmonic mappings
by continuation . . . . . . . . . . . . 2403--2428
Clemens Hofreither and
Ludwig Mitter and
Hendrik Speleers Local multigrid solvers for adaptive
isogeometric analysis in hierarchical
spline spaces . . . . . . . . . . . . . 2429--2458
Thierry Goudon and
Stella Krell and
Julie Llobell and
Sebastian Minjeaud Transfer of conservative discrete
differential operators between staggered
grids: construction and duality
relations . . . . . . . . . . . . . . . 2459--2504
Henry von Wahl and
Thomas Richter and
Christoph Lehrenfeld An unfitted Eulerian finite element
method for the time-dependent Stokes
problem on moving domains . . . . . . . 2505--2544
Tim Binz and
Balázs Kovács A convergent finite element algorithm
for generalized mean curvature flows of
closed surfaces . . . . . . . . . . . . 2545--2588
Paula Harder and
Balázs Kovács Error estimates for the Cahn--Hilliard
equation with dynamic boundary
conditions . . . . . . . . . . . . . . . 2589--2620
Wenbin Chen and
Shufen Wang and
Yichao Zhang and
Daozhi Han and
Cheng Wang and
Xiaoming Wang Error estimate of a decoupled numerical
scheme for the
Cahn--Hilliard-Stokes--Darcy system . . 2621--2655
Min Li and
Chengming Huang and
Yaozhong Hu Numerical methods for stochastic
Volterra integral equations with weakly
singular kernels . . . . . . . . . . . . 2656--2683
Mazen Ali and
Stefan A. Funken and
Anja Schmidt $ H^1 $-stability of the $ L^2
$-projection onto finite element spaces
on adaptively refined quadrilateral
meshes . . . . . . . . . . . . . . . . . 2684--2709
Sébastien Boyaval and
Sofiane Martel and
Julien Reygner Finite-volume approximation of the
invariant measure of a viscous
stochastic scalar conservation law . . . 2710--2770
Ercília Sousa Consistency analysis of the
Grünwald--Letnikov approximation in a
bounded domain . . . . . . . . . . . . . 2771--2793
Xue Jiang and
Peijun Li and
Junliang Lv and
Zhoufeng Wang and
Haijun Wu and
Weiying Zheng An adaptive edge finite element DtN
method for Maxwell's equations in
biperiodic structures . . . . . . . . . 2794--2828
Massimiliano Fasi and
Bruno Iannazzo The dual inverse scaling and squaring
algorithm for the matrix logarithm . . . 2829--2851
Alexandre Poulain and
Katharina Schratz Convergence, error analysis and longtime
behavior of the scalar auxiliary
variable method for the nonlinear
Schrödinger equation . . . . . . . . . . 2853--2883
Vivette Girault and
Olivier Pironneau and
Po-Yi Wu Analysis of an electroless plating
problem . . . . . . . . . . . . . . . . 2884--2923
Thierry Gallouët and
Olivier Hurisse Convergence of a multidimensional
Glimm-like scheme for the transport of
fronts . . . . . . . . . . . . . . . . . 2924--2958
Carlos Beltrán and
Fátima Lizarte On the minimum value of the condition
number of polynomials . . . . . . . . . 2959--2983
Behzad Azmi and
Karl Kunisch On the convergence and mesh-independent
property of the Barzilai--Borwein method
for PDE-constrained optimization . . . . 2984--3021
Vassilios A. Dougalis and
Ángel Durán A high-order fully discrete scheme for
the Korteweg--de Vries equation with a
time-stepping procedure of
Runge--Kutta-composition type . . . . . 3022--3057
Claude Brezinski and
Stefano Cipolla and
Michela Redivo-Zaglia and
Yousef Saad Shanks and Anderson-type acceleration
techniques for systems of nonlinear
equations . . . . . . . . . . . . . . . 3058--3093
Shawn W. Walker The Kirchhoff plate equation on
surfaces: the surface
Hellan--Herrmann--Johnson method . . . . 3094--3134
Peipei Lu and
Andreas Rupp and
Guido Kanschat Homogeneous multigrid for HDG . . . . . 3135--3153
Gabriel N. Gatica and
Salim Meddahi and
Ricardo Ruiz-Baier An $ L^p $ spaces-based formulation
yielding a new fully mixed finite
element method for the coupled Darcy and
heat equations . . . . . . . . . . . . . 3154--3206
Francisco M. Bersetche and
Juan Pablo Borthagaray Finite element approximation of
fractional Neumann problems . . . . . . 3207--3240
Melanie Weber and
Suvrit Sra Projection-free nonconvex stochastic
optimization on Riemannian manifolds . . 3241--3271
Alexander Van-Brunt and
Patrick E. Farrell and
Charles W. Monroe Augmented saddle-point formulation of
the steady-state Stefan--Maxwell
diffusion problem . . . . . . . . . . . 3272--3305
Patrick E. Farrell and
Lawrence Mitchell and
L. Ridgway Scott and
Florian Wechsung Robust multigrid methods for nearly
incompressible elasticity using macro
elements . . . . . . . . . . . . . . . . 3306--3329
Sergio Amat and
David Levin and
Juan Ruiz-Álvarez A two-stage approximation strategy for
piecewise smooth functions in two and
three dimensions . . . . . . . . . . . . 3330--3359
Hanne Hardering and
Benedikt Wirth Quartic $ L^p $-convergence of cubic
Riemannian splines . . . . . . . . . . . 3360--3385
Andreas Prohl and
Yanqing Wang Strong error estimates for a space--time
discretization of the linear-quadratic
control problem with the stochastic heat
equation with linear noise . . . . . . . 3386--3429
Todd Arbogast and
Chieh-Sen Huang A self-adaptive theta scheme using
discontinuity aware quadrature for
solving conservation laws . . . . . . . 3430--3463
Yujie Liu and
Junping Wang A locking-free $ P_0 $ finite element
method for linear elasticity equations
on polytopal partitions . . . . . . . . 3464--3498
Yifei Wu and
Xiaofei Zhao Optimal convergence of a second-order
low-regularity integrator for the KdV
equation . . . . . . . . . . . . . . . . 3499--3528
Bikram Bir and
Deepjyoti Goswami and
Amiya K. Pani Backward Euler method for the equations
of motion arising in Oldroyd model of
order one with nonsmooth initial data 3529--3570
Carlos Jerez-Hanckes and
José Pinto Spectral Galerkin method for solving
Helmholtz boundary integral equations on
smooth screens . . . . . . . . . . . . . 3571--3608
Chupeng Ma and
Yongwei Zhang and
Liqun Cao Analysis of a Galerkin finite element
method for the Maxwell--Schrödinger
system under temporal gauge . . . . . . 3609--3631
David Mora and
Carlos Reales and
Alberth Silgado A $ C^1 $-virtual element method of high
order for the Brinkman equations in
stream function formulation with
pressure recovery . . . . . . . . . . . 3632--3674
Gang Wang and
Jian Meng and
Ying Wang and
Liquan Mei \em A priori and \em a posteriori error
estimates for a virtual element method
for the non-self-adjoint Steklov
eigenvalue problem . . . . . . . . . . . 3675--3710
Xu Li and
Hongxing Rui A low-order divergence-free
H(div)-conforming finite element method
for Stokes flows . . . . . . . . . . . . 3711--3734
Xin Liang and
Zhen-Chen Guo and
Tsung-Ming Huang and
Tiexiang Li and
Wen-Wei Lin Bifurcation analysis of the
eigenstructure of the discrete
single-curl operator in
three-dimensional Maxwell's equations
with Pasteur media . . . . . . . . . . . 3735--3770
Zhongwen Chen and
Yu-Hong Dai and
Tauyou Zhang A line search penalty-free SQP method
for equality-constrained optimization
without Maratos effect . . . . . . . . . 3771--3802
Siddhartha Mishra and
Roberto Molinaro Estimates on the generalization error of
physics-informed neural networks for
approximating PDEs . . . . . . . . . . . 1--43
Sjoerd Geevers and
Roland Maier Fast mass lumped multiscale wave
propagation modelling . . . . . . . . . 44--72
M. Wnuk and
M. Gnewuch Randomized sparse grid algorithms for
multivariate integration on Haar wavelet
spaces . . . . . . . . . . . . . . . . . 73--98
Rapha\`ele Herbin and
Jean-Claude Latché and
Youssouf Nasseri and
Nicolas Therme A consistent quasi-second-order
staggered scheme for the two-dimensional
shallow water equations . . . . . . . . 99--143
Daniel Castanon Quiroz and
Daniele A. Di Pietro and
André Harnist A Hybrid High-Order method for
incompressible flows of non-Newtonian
fluids with power-like convective
behaviour . . . . . . . . . . . . . . . 144--186
Jean-François Coulombel and
Grégory Faye Sharp stability for finite difference
approximations of hyperbolic equations
with boundary conditions . . . . . . . . 187--224
Markus Muhr and
Barbara Wohlmuth and
Vanja Nikoli\'c A discontinuous Galerkin coupling for
nonlinear elasto-acoustics . . . . . . . 225--257
Assyr Abdulle and
Charles-Edouard Bréhier and
Gilles Vilmart Convergence analysis of explicit
stabilized integrators for parabolic
semilinear stochastic PDEs . . . . . . . 258--292
Najmeh Hoseini Monjezi and
Soghra Nobakhtian and
Mohamad Reza Pouryayevali A proximal bundle algorithm for
nonsmooth optimization on Riemannian
manifolds . . . . . . . . . . . . . . . 293--325
Jonathan Jung and
Vincent Perrier Long time behavior of finite volume
discretization of symmetrizable linear
hyperbolic systems . . . . . . . . . . . 326--356
Taihei Oki Improved structural methods for
nonlinear differential-algebraic
equations via combinatorial relaxation 357--386
Wael Mattar and
Nir Sharon Pyramid transform of manifold data via
subdivision operators . . . . . . . . . 387--413
Florian Mannel On the convergence of Broyden's method
and some accelerated schemes for
singular problems . . . . . . . . . . . 414--442
Bastian Harrach and
Tim Jahn and
Roland Potthast Regularizing linear inverse problems
under unknown non-Gaussian white noise
allowing repeated measurements . . . . . 443--500
Buyang Li and
Yinhua Xia and
Zongze Yang Optimal convergence of arbitrary
Lagrangian--Eulerian iso-parametric
finite element methods for parabolic
equations in an evolving domain . . . . 501--534
Martin Halla On the approximation of dispersive
electromagnetic eigenvalue problems in
two dimensions . . . . . . . . . . . . . 535--559
Ansgar Jüngel and
Antoine Zurek A discrete boundedness-by-entropy method
for finite-volume approximations of
cross-diffusion systems . . . . . . . . 560--589
Piotr Gwiazda and
B\lazej Miasojedow and
Jakub Skrzeczkowski and
Zuzanna Szyma\'nska Convergence of the EBT method for a
non-local model of cell proliferation
with discontinuous interaction kernel 590--626
Andrea Bonito and
Diane Guignard and
Ricardo H. Nochetto and
Shuo Yang Numerical analysis of the LDG method for
large deformations of prestrained plates 627--662
Daniele Boffi and
Johnny Guzmán and
Michael Neilan Convergence of Lagrange finite elements
for the Maxwell eigenvalue problem in
two dimensions . . . . . . . . . . . . . 663--691
Corentin Caillaud and
Antonin Chambolle Error estimates for finite differences
approximations of the total variation 692--736
Tony Leli\`evre and
Gabriel Stoltz and
Wei Zhang Multiple projection Markov chain Monte
Carlo algorithms on submanifolds . . . . 737--788
Nadiia Derevianko and
Gerlind Plonka and
Markus Petz From ESPRIT to ESPIRA: estimation of
signal parameters by iterative rational
approximation . . . . . . . . . . . . . 789--827
L. Beirão da Veiga and
L. Mascotto Interpolation and stability properties
of low-order face and edge virtual
element spaces . . . . . . . . . . . . . 828--851
Niklas Behringer and
Boris Vexler and
Dmitriy Leykekhman Fully discrete best-approximation-type
estimates in $ L^\infty (I; L^2
(\Omega)^d) $ for finite element
discretizations of the transient Stokes
equations . . . . . . . . . . . . . . . 852--880
Michele Annese and
Miguel A. Fernández and
Lucia Gastaldi Splitting schemes for a Lagrange
multiplier formulation of FSI with
immersed thin-walled structure:
stability and convergence analysis . . . 881--919
S. Gratton and
Ph L. Toint Adaptive regularization minimization
algorithms with nonsmooth norms . . . . 920--949
Robert Altmann and
Balázs Kovács and
Christoph Zimmer Bulk-surface Lie splitting for parabolic
problems with dynamic boundary
conditions . . . . . . . . . . . . . . . 950--975
Weimin Han and
Min Ling and
Fei Wang Numerical solution of an $ H({\rm curl})
$-elliptic hemivariational inequality 976--1000
Yun Li and
Xuerong Mao and
Qingshuo Song and
Fuke Wu and
George Yin Strong convergence of Euler--Maruyama
schemes for McKean--Vlasov stochastic
differential equations under local
Lipschitz conditions of state variables 1001--1035
Cairong Chen and
Dongmei Yu and
Deren Han Exact and inexact Douglas--Rachford
splitting methods for solving
large-scale sparse absolute value
equations . . . . . . . . . . . . . . . 1036--1060
Ting Sun and
Chunxiong Zheng Efficient implementation of the exact
artificial boundary condition for the
exterior problem of the Stokes system in
three dimensions . . . . . . . . . . . . 1061--1088
Xiao Li and
Zhonghua Qiao and
Cheng Wang Stabilization parameter analysis of a
second-order linear numerical scheme for
the nonlocal Cahn--Hilliard equation . . 1089--1114
Zhenwu Fu and
Wei Wang and
Bo Han and
Yong Chen Two-point Landweber-type method with
convex penalty terms for nonsmooth
nonlinear inverse problems . . . . . . . 1115--1148
Bernhard Maier Error analysis for full discretizations
of quasilinear wave-type equations with
two variants of the implicit midpoint
rule . . . . . . . . . . . . . . . . . . 1149--1180
Chuchu Chen and
Jianbo Cui and
Jialin Hong and
Derui Sheng Accelerated exponential Euler scheme for
stochastic heat equation: convergence
rate of the density . . . . . . . . . . 1181--1220
Borui Miao and
Giovanni Russo and
Zhennan Zhou A novel spectral method for the
semiclassical Schrödinger equation based
on the Gaussian wave-packet transform 1221--1261
Ustim Khristenko and
Barbara Wohlmuth Solving time-fractional differential
equations via rational approximation . . 1263--1290
Harbir Antil and
Sören Bartels and
Armin Schikorra Approximation of fractional harmonic
maps . . . . . . . . . . . . . . . . . . 1291--1323
Mihály Kovács and
Annika Lang and
Andreas Petersson Approximation of SPDE covariance
operators by finite elements: a
semigroup approach . . . . . . . . . . . 1324--1357
M. Croci and
M. B. Giles Effects of round-to-nearest and
stochastic rounding in the numerical
solution of the heat equation in low
precision . . . . . . . . . . . . . . . 1358--1390
Dominic Breit and
Andreas Prohl Numerical analysis of two-dimensional
Navier--Stokes equations with additive
stochastic forcing . . . . . . . . . . . 1391--1421
Kaibo Hu and
Qian Zhang and
Jiayu Han and
Lixiu Wang and
Zhimin Zhang Spurious solutions for high-order curl
problems . . . . . . . . . . . . . . . . 1422--1449
Jingwei Hu and
Xiangxiong Zhang Positivity-preserving and
energy-dissipative finite difference
schemes for the Fokker--Planck and
Keller--Segel equations . . . . . . . . 1450--1484
Eduardo Casas and
Karl Kunisch and
Mariano Mateos Error estimates for the numerical
approximation of optimal control
problems with nonsmooth
pointwise-integral control constraints 1485--1518
Christoph Strössner and
Daniel Kressner Fast global spectral methods for
three-dimensional partial differential
equations . . . . . . . . . . . . . . . 1519--1542
Hanne Hardering and
Simon Praetorius Tangential errors of tensor surface
finite elements . . . . . . . . . . . . 1543--1585
Elias S. Helou and
Sandra A. Santos and
Lucas E. A. Simões A sequential optimality condition for
Mathematical Programs with equilibrium
constraints based on a nonsmooth
formulation . . . . . . . . . . . . . . 1586--1615
Jan Glaubitz Construction and application of provable
positive and exact cubature formulas . . 1616--1652
Kangkang Deng and
Zheng Peng A manifold inexact augmented Lagrangian
method for nonsmooth optimization on
Riemannian submanifolds in Euclidean
space . . . . . . . . . . . . . . . . . 1653--1684
Jian Meng and
Gang Wang and
Liquan Mei Mixed virtual element method for the
Helmholtz transmission eigenvalue
problem on polytopal meshes . . . . . . 1685--1717
Guosheng Fu and
Wenzheng Kuang Uniform block-diagonal preconditioners
for divergence-conforming HDG Methods
for the generalized Stokes equations and
the linear elasticity equations . . . . 1718--1741
Shantiram Mahata and
Rajen Kumar Sinha Nonsmooth data error estimates of the L1
scheme for subdiffusion equations with
positive-type memory term . . . . . . . 1742--1778
Hengguang Li and
Peimeng Yin and
Zhimin Zhang A $ C^0 $ finite element method for the
biharmonic problem with Navier boundary
conditions in a polygonal domain . . . . 1779--1801
Maximilian Bernkopf and
Stefan Sauter and
Céline Torres and
Alexander Veit Solvability of discrete Helmholtz
equations . . . . . . . . . . . . . . . 1802--1830
D. Gasperini and
H- P. Beise and
U. Schroeder and
X. Antoine and
C. Geuzaine An analysis of the steepest descent
method to efficiently compute the
three-dimensional acoustic single-layer
operator in the high-frequency regime 1831--1854
Zhewei Yao and
Peng Xu and
Fred Roosta and
Stephen J. Wright and
Michael W. Mahoney Inexact Newton-CG algorithms with
complexity guarantees . . . . . . . . . 1855--1897
Niall Bootland and
Victorita Dolean and
Ivan G. Graham and
Chupeng Ma and
Robert Scheichl Overlapping Schwarz methods with GenEO
coarse spaces for indefinite and
nonself-adjoint problems . . . . . . . . 1899--1936
Balázs Kovács and
Buyang Li Maximal regularity of backward
difference time discretization for
evolving surface PDEs and its
application to nonlinear problems . . . 1937--1969
Markus Bachmayr and
Ana Djurdjevac Multilevel representations of isotropic
Gaussian random fields on the sphere . . 1970--2000
Gregorio Malajovich Complexity of sparse polynomial solving
2: renormalization . . . . . . . . . . . 2001--2114
Kassem Mustapha and
Omar M. Knio and
Olivier P. Le Ma\^ìtre A second-order accurate numerical scheme
for a time-fractional Fokker--Planck
equation . . . . . . . . . . . . . . . . 2115--2136
H. Egger and
J. Giesselmann and
T. Kunkel and
N. Philippi An asymptotic-preserving discretization
scheme for gas transport in pipe
networks . . . . . . . . . . . . . . . . 2137--2168
Yang Li and
Bangwei She On convergence of numerical solutions
for the compressible MHD system with
weakly divergence-free magnetic field 2169--2197
Patrick Amestoy and
Olivier Boiteau and
Alfredo Buttari and
Matthieu Gerest and
Fabienne Jézéquel and
Jean-Yves L'Excellent and
Theo Mary Mixed precision low-rank approximations
and their application to block low-rank
$ L U $ factorization . . . . . . . . . 2198--2227
Xiaoxu Li and
Huajie Chen and
Xingyu Gao Numerical analysis of multiple
scattering theory for electronic
structure calculations . . . . . . . . . 2228--2264
Antônio Tadeu A. Gomes and
Weslley S. Pereira and
Frédéric Valentin The MHM Method for Linear Elasticity on
Polytopal Meshes . . . . . . . . . . . . 2265--2298
Sergio Amat and
David Levin and
Juan Ruiz-Alvárez and
Dionisio F. Yáñez Global and explicit approximation of
piecewise-smooth two-dimensional
functions from cell-average data . . . . 2299--2319
Kaifang Liu and
Dietmar Gallistl and
Matthias Schlottbom and
J. J. W. van der Vegt Analysis of a mixed discontinuous
Galerkin method for the time-harmonic
Maxwell equations with minimal
smoothness requirements . . . . . . . . 2320--2351
Jens Markus Melenk and
Alexander Rieder An exponentially convergent
discretization for space--time
fractional parabolic equations using
hp-FEM . . . . . . . . . . . . . . . . . 2352--2376
Blanca Ayuso de Dios and
Thirupathi Gudi and
Kamana Porwal Pointwise a posteriori error analysis
of a discontinuous Galerkin method for
the elliptic obstacle problem . . . . . 2377--2412
Haiyong Wang Optimal rates of convergence and error
localization of Gegenbauer projections 2413--2444
Leon Bungert and
Jeff Calder and
Tim Roith Uniform convergence rates for Lipschitz
learning on graphs . . . . . . . . . . . 2445--2495
Bangti Jin and
Zhi Zhou Recovery of a space--time-dependent
diffusion coefficient in subdiffusion:
stability, approximation and error
analysis . . . . . . . . . . . . . . . . 2496--2531
Annalisa Buffa and
Ondine Chanon and
Rafael Vázquez An a posteriori error estimator for
isogeometric analysis on trimmed
geometries . . . . . . . . . . . . . . . 2533--2561
Alan Demlow and
Sebastian Franz and
Natalia Kopteva Maximum norm a posteriori error
estimates for convection-diffusion
problems . . . . . . . . . . . . . . . . 2562--2584
Aku Kammonen and
Jonas Kiessling and
Petr Plechá\vc and
Mattias Sandberg and
Anders Szepessy and
Raul Tempone Smaller generalization error derived for
a deep residual neural network compared
with shallow networks . . . . . . . . . 2585--2632
Beiping Duan Padé-parametric FEM approximation for
fractional powers of elliptic operators
on manifolds . . . . . . . . . . . . . . 2633--2664
Jakiw Pidstrigach Convergence of preconditioned
Hamiltonian Monte Carlo on Hilbert
spaces . . . . . . . . . . . . . . . . . 2665--2713
Giselle Sosa Jones and
Lo\"\ic Cappanera and
Beatrice Riviere Existence and convergence of a
discontinuous Galerkin method for the
incompressible three-phase flow problem
in porous media . . . . . . . . . . . . 2714--2747
Jialin Hong and
Derui Sheng and
Tau Zhou A splitting semi-implicit Euler method
for stochastic incompressible Euler
equations on T$^2$ . . . . . . . . . . . 2748--2776
Lina Zhao and
Eric Chung and
Eun-Jae Park A locking-free staggered DG method for
the Biot system of poroelasticity on
general polygonal meshes . . . . . . . . 2777--2816
Marcelo Actis and
Pedro Morin and
Cornelia Schneider On approximation classes for adaptive
time-stepping finite element methods . . 2817--2855
Aurelien Lucchi and
Jonas Kohler A sub-sampled tensor method for
nonconvex optimization . . . . . . . . . 2856--2891
Bosco García-Archilla and
Julia Novo Robust error bounds for the
Navier--Stokes equations using
implicit-explicit second-order BDF
method with variable steps . . . . . . . 2892--2933
Tino Franz and
Holger Wendland Multilevel quasi-interpolation . . . . . 2934--2964
Petra Csomós and
Dávid Kunszenti-Kovács A second-order Magnus-type integrator
for evolution equations with delay . . . 2965--2997
Nana Wang and
Jicheng Li A class of preconditioners based on
symmetric-triangular decomposition and
matrix splitting for generalized saddle
point problems . . . . . . . . . . . . . 2998--3025
X. Claeys Nonselfadjoint impedance in Generalized
Optimized Schwarz Methods . . . . . . . 3026--3054
Bengt Fornberg Infinite-order accuracy limit of finite
difference formulas in the complex plane 3055--3072
Carlos Parés-Pulido Finite volume methods for the
computation of statistical solutions of
the incompressible Euler equations . . . 3073--3108
Jean-François Chassagneux and
Junchao Chen and
Noufel Frikha and
Chao Zhou A learning scheme by sparse grids and
Picard approximations for semilinear
parabolic PDEs . . . . . . . . . . . . . 3109--3168
G. Maierhofer and
A. Iserles and
N. Peake Recursive moment computation in Filon
methods and application to
high-frequency wave scattering in two
dimensions . . . . . . . . . . . . . . . 3169--3211
Emmanuil H. Georgoulis and
Charalambos G. Makridakis Lower bounds, elliptic reconstruction
and a posteriori error control of
parabolic problems . . . . . . . . . . . 3212--3242
Genming Bai and
Buyang Li and
Yifei Wu A constructive low-regularity integrator
for the one-dimensional cubic nonlinear
Schrödinger equation under Neumann
boundary condition . . . . . . . . . . . 3243--3281
Lehel Banjai and
Jens M. Melenk and
Christoph Schwab hp-FEM for reaction-diffusion
equations. II: robust exponential
convergence for multiple length scales
in corner domains . . . . . . . . . . . 3282--3325
Annalena Mickel and
Andreas Neuenkirch The weak convergence order of two
Euler-type discretization schemes for
the log-Heston model . . . . . . . . . . 3326--3356
Azmy S. Ackleh and
Rainey Lyons and
Nicolas Saintier Finite difference schemes for a size
structured coagulation-fragmentation
model in the space of Radon measures . . 3357--3395
Paola F. Antonietti and
Giuseppe Vacca and
Marco Verani Virtual element method for the
Navier--Stokes equation coupled with the
heat equation . . . . . . . . . . . . . 3396--3429
Petr Plechá\vc and
Gabriel Stoltz and
Ting Wang Martingale product estimators for
sensitivity analysis in computational
statistical physics . . . . . . . . . . 3430--3477
Xuemin Tu and
Jinjin Zhang BDDC Algorithms for Oseen problems with
HDG Discretizations . . . . . . . . . . 3478--3521
K. Brenner and
Florent Chave and
R. Masson Gradient discretization of a 3D--2D--1D
mixed-dimensional diffusive model with
resolved interface, application to the
drying of a fractured porous medium . . 3522--3563
Susanne Bradley and
Chen Greif Eigenvalue bounds for double
saddle-point systems . . . . . . . . . . 3564--3592
Stefan Metzger A convergent SAV scheme for
Cahn--Hilliard equations with dynamic
boundary conditions . . . . . . . . . . 3593--3627
Petra Csomós and
Bálint Farkas and
Balázs Kovács Error estimates for a splitting
integrator for abstract semilinear
boundary coupled systems . . . . . . . . 3628--3655
Hang Li and
Chunmei Su Low regularity exponential-type
integrators for the ``good'' Boussinesq
equation . . . . . . . . . . . . . . . . 3656--3684
Jalal Fadili and
Nicolas Forcadel and
Thi Tuyen Nguyen and
Rita Zantout Limits and consistency of nonlocal and
graph approximations to the eikonal
equation . . . . . . . . . . . . . . . . 3685--3728
Florian Beiser and
Brendan Keith and
Simon Urbainczyk and
Barbara Wohlmuth Adaptive sampling strategies for
risk-averse stochastic optimization with
constraints . . . . . . . . . . . . . . 3729--3765
Giovanni Monegato On a time-discrete convolution-space
collocation BEM for the numerical
solution of two-dimensional wave
propagation problems in unbounded
domains . . . . . . . . . . . . . . . . 3766--3795
Giovanni Monegato Erratum to: ``On a time-discrete
convolution-space collocation BEM for
the numerical solution of
two-dimensional wave propagation
problems in unbounded domains'' . . . . 3796--3799
Anonymous Correction to: A novel spectral method
for the semiclassical Schrödinger
equation based on the Gaussian
wave-packet transform . . . . . . . . . 3800--3800
Sören Bartels and
Andrea Bonito and
Philipp Tscherner Error estimates for a linear folding
model . . . . . . . . . . . . . . . . . 1--23
Zhaonan Dong and
Alexandre Ern $ C^0 $-hybrid high-order methods for
biharmonic problems . . . . . . . . . . 24--57
Gregor Gantner and
Rob Stevenson Applications of a space--time FOSLS
formulation for parabolic PDEs . . . . . 58--82
Tim De Ryck and
Ameya D. Jagtap and
Siddhartha Mishra Error estimates for physics-informed
neural networks approximating the
Navier--Stokes equations . . . . . . . . 83--119
Yitian Qian and
Shaohua Pan and
Lianghai Xiao Error bound and exact penalty method for
optimization problems with nonnegative
orthogonal constraint . . . . . . . . . 120--156
Wei Li and
Pengzhan Huang and
Yinnian He An unconditionally energy stable finite
element scheme for a nonlinear
fluid-fluid interaction model . . . . . 157--191
Yi Yu and
Maksymilian Dryja and
Marcus Sarkis Nonoverlapping spectral additive Schwarz
methods for hybrid discontinuous
Galerkin discretizations . . . . . . . . 192--224
Bernadette N. Hahn and
Gaël Rigaud and
Richard Schmähl A class of regularizations based on
nonlinear isotropic diffusion for
inverse problems . . . . . . . . . . . . 225--261
Jérôme Droniou and
Liam Yemm A hybrid high-order scheme for the
stationary, incompressible
magnetohydrodynamics equations . . . . . 262--296
Pavel Bakhvalov and
Mikhail Surnachev Linear schemes with several degrees of
freedom for the transport equation and
the long-time simulation accuracy . . . 297--396
Daniel Castanon Quiroz and
Daniele A. Di Pietro A pressure-robust HHO method for the
solution of the incompressible
Navier--Stokes equations on general
meshes . . . . . . . . . . . . . . . . . 397--434
Merlin Andreia and
Christian Meyer An adaptive time stepping scheme for
rate-independent systems with nonconvex
energy . . . . . . . . . . . . . . . . . 435--465
Alexander D. Gilbert and
Robert Scheichl Multilevel quasi-Monte Carlo for random
elliptic eigenvalue problems I:
regularity and error analysis . . . . . 466--503
Alexander D. Gilbert and
Robert Scheichl Multilevel quasi-Monte Carlo for random
elliptic eigenvalue problems II:
efficient algorithms and numerical
results . . . . . . . . . . . . . . . . 504--535
M. Herty and
A. Kolb and
S. Müller Multiresolution analysis for stochastic
hyperbolic conservation laws . . . . . . 536--575
Bartosz Jaroszkowski and
Max Jensen Finite element approximation of
Hamilton--Jacobi--Bellman equations with
nonlinear mixed boundary conditions . . 576--603
Jihong Wang and
Jerry Zhijian Yang and
Jiwei Zhang Stability and convergence analysis of
high-order numerical schemes with
DtN-type absorbing boundary conditions
for nonlocal wave equations . . . . . . 604--632
Sören Bartels and
Balázs Kovács and
Zhangxian Wang Error analysis for the numerical
approximation of the harmonic map heat
flow with nodal constraints . . . . . . 633--653
Weizhu Bao and
Yongyong Cai and
Yue Feng Improved uniform error bounds on
time-splitting methods for the long-time
dynamics of the weakly nonlinear Dirac
equation . . . . . . . . . . . . . . . . 654--679
Yuchen Xie and
Raghu Bollapragada and
Richard Byrd and
Jorge Nocedal Constrained and composite optimization
via adaptive sampling methods . . . . . 680--709
L. Beirão da Veiga and
F. Dassi and
G. Vacca Pressure robust SUPG-stabilized finite
elements for the unsteady Navier--Stokes
equation . . . . . . . . . . . . . . . . 710--750
Xingyuan Chen and
Gonçalo dos Reis Euler simulation of interacting particle
systems and McKean--Vlasov SDEs with
fully super-linear growth drifts in
space and interaction . . . . . . . . . 751--796
Mehdi Dehghan and
Zeinab Gharibi A fully mixed virtual element method for
Darcy--Forchheimer miscible displacement
of incompressible fluids appearing in
porous media . . . . . . . . . . . . . . 797--835
Xiaobing Feng and
Akash Ashirbad Panda and
Andreas Prohl Higher order time discretization for the
stochastic semilinear wave equation with
multiplicative noise . . . . . . . . . . 836--885
Carlos Beltrán and
Vanni Noferini and
Nick Vannieuwenhoven When can forward stable algorithms be
composed stably? . . . . . . . . . . . . 886--919
B. Schweizer and
M. Schäffner and
Y. Tjandrawidjaja A radiation box domain truncation scheme
for the wave equation . . . . . . . . . 920--944
Juan Manuel Cárdenas and
Manuel Solano A high order unfitted hybridizable
discontinuous Galerkin method for linear
elasticity . . . . . . . . . . . . . . . 945--979
Gabriel R. Barrenechea and
Erik Burman and
Ernesto Cáceres and
Johnny Guzmán Continuous interior penalty
stabilization for divergence-free finite
element methods . . . . . . . . . . . . 980--1002
Hongwei Liu and
Ting Wang and
Zexian Liu Convergence rate of inertial
forward-backward algorithms based on the
local error bound condition . . . . . . 1003--1028
Clément Canc\`es and
Virginie Ehrlacher and
Laurent Monasse Finite volumes for the Stefan--Maxwell
cross-diffusion system . . . . . . . . . 1029--1060
Brian D. Sutton Simultaneous diagonalization of nearly
commuting Hermitian matrices:
do-one-then-do-the-other . . . . . . . . 1061--1089
Dilara Abdel and
Claire Chainais-Hillairet and
Patricio Farrell and
Maxime Herda Numerical analysis of a finite volume
scheme for charge transport in
perovskite solar cells . . . . . . . . . 1090--1129
Elisabeth Larsson and
Robert Schaback Scaling of radial basis functions . . . 1130--1152
Tongtong Li and
Sergio Caucao and
Ivan Yotov An augmented fully mixed formulation for
the quasistatic Navier--Stokes-Biot
model . . . . . . . . . . . . . . . . . 1153--1210
Benjamin Boutin and
Pierre Le Barbenchon and
Nicolas Seguin On the stability of totally upwind
schemes for the hyperbolic initial
boundary value problem . . . . . . . . . 1211--1241
Dinh D\~ung and
Van Kien Nguyen Optimal numerical integration and
approximation of functions on $ R^d $
equipped with Gaussian measure . . . . . 1242--1267
Maximilian Brunner and
Michael Innerberger and
Ani Miraçi and
Dirk Praetorius and
Julian Streitberger and
Pascal Heid Adaptive FEM with quasi-optimal overall
cost for nonsymmetric linear elliptic
PDEs . . . . . . . . . . . . . . . . . . 1560--1596
Maximilian Brunner and
Michael Innerberger and
Ani Miraçi and
Dirk Praetorius and
Julian Streitberger and
Pascal Heid Corrigendum to: Adaptive FEM with
quasi-optimal overall cost for
nonsymmetric linear elliptic PDEs . . . 1903--1909
Barbara Kaltenbacher Convergence guarantees for coefficient
reconstruction in PDEs from boundary
measurements by variational and
Newton-type methods via range invariance 1269--1312
Jiachuan Cao and
Buyang Li and
Yanping Lin A new second-order low-regularity
integrator for the cubic nonlinear
Schrödinger equation . . . . . . . . . . 1313--1345
David Krieg and
Mathias Sonnleitner Random points are optimal for the
approximation of Sobolev functions . . . 1346--1371
Ujjwal Koley and
Guy Vallet On the rate of convergence of a
numerical scheme for Fractional
conservation laws with noise . . . . . . 1372--1405
Moody T. Chu Lax dynamics for Cartan decomposition
with applications to Hamiltonian
simulation . . . . . . . . . . . . . . . 1406--1434
Xiao-Li Ding and
Dehua Wang Regularity analysis for SEEs with
multiplicative fBms and strong
convergence for a fully discrete scheme 1435--1463
Dong-Young Lim and
Ariel Neufeld and
Sotirios Sabanis and
Ying Zhang Non-asymptotic estimates for TUSLA
algorithm for non-convex learning with
applications to neural networks with
ReLU activation function . . . . . . . . 1464--1559
Boris Andreianov and
El Houssaine Quenjel Nodal discrete duality numerical scheme
for nonlinear diffusion problems on
general meshes . . . . . . . . . . . . . 1597--1643
Torsten Linß and
Martin Ossadnik and
Goran Radojev A unified approach to maximum-norm a
posteriori error estimation for
second-order time discretizations of
parabolic equations . . . . . . . . . . 1644--1659
Xuda Ye and
Zhennan Zhou Error analysis of time-discrete random
batch method for interacting particle
systems and associated mean-field limits 1660--1698
Daniele A. Di Pietro An arbitrary-order discrete rot-rot
complex on polygonal meshes with
application to a quad-rot problem . . . 1699--1730
John W. Pearson and
Andreas Potschka On symmetric positive definite
preconditioners for multiple
saddle-point systems . . . . . . . . . . 1731--1750
Brittany Froese Hamfeldt and
Axel G. R. Turnquist On the reduction in accuracy of finite
difference schemes on manifolds without
boundary . . . . . . . . . . . . . . . . 1751--1784
Paul Bergold and
Caroline Lasser The Gaussian wave packet transform via
quadrature rules . . . . . . . . . . . . 1785--1820
Yiwen Chen and
Warren Hare Adapting the centred simplex gradient to
compensate for misaligned sample points 1821--1861
Dimitra C. Antonopoulou and
Bernard Egwu and
Yubin Yan \em A posteriori error analysis of
space--time discontinuous Galerkin
methods for the $ \epsilon $-stochastic
Allen--Cahn equation . . . . . . . . . . 1862--1902
Daniele Boffi and
Sining Gong and
Johnny Guzmán and
Michael Neilan Convergence of Lagrange finite element
methods for Maxwell eigenvalue problem
in 3D . . . . . . . . . . . . . . . . . 1911--1945
Jeffrey Galkowski and
David Lafontaine and
Euan A. Spence Local absorbing boundary conditions on
fixed domains give order-one errors for
high-frequency waves . . . . . . . . . . 1946--2069
Tobias Jawecki and
Pranav Singh Unitarity of some barycentric rational
approximants . . . . . . . . . . . . . . 2070--2089
\Lubomír Ba\vnas and
Benjamin Gess and
Christian Vieth Numerical approximation of
singular-degenerate parabolic stochastic
partial differential equations . . . . . 2090--2137
Hong-lin Liao and
Yuanyuan Kang $ L^2 $ norm error estimates of BDF
methods up to fifth-order for the phase
field crystal model . . . . . . . . . . 2138--2164
Haitao Leng and
Huangxin Chen Adaptive interior penalty hybridized
discontinuous Galerkin methods for Darcy
flow in fractured porous media . . . . . 2165--2197
Gabriel R. Barrenechea and
Emmanuil H. Georgoulis and
Tristan Pryer and
Andreas Veeser A nodally bound-preserving finite
element method . . . . . . . . . . . . . 2198--2219
Warren Hare and
Gabriel Jarry-Bolduc and
Chayne Planiden A matrix algebra approach to approximate
Hessians . . . . . . . . . . . . . . . . 2220--2250
Marco Discacciati and
Tommaso Vanzan Optimized Schwarz methods for the
time-dependent Stokes--Darcy coupling 2251--2276
Aurélien Alfonsi and
Edoardo Lombardo High order approximations of the
Cox--Ingersoll--Ross process semigroup
using random grids . . . . . . . . . . . 2277--2322
Christoph Reisinger and
Wolfgang Stockinger and
Yufei Zhang \em A posteriori error estimates for
fully coupled McKean--Vlasov
forward-backward SDEs . . . . . . . . . 2323--2369
Robert Altmann and
Christoph Zimmer A second-order bulk-surface splitting
for parabolic problems with dynamic
boundary conditions . . . . . . . . . . 2370--2393
Caterina Calgaro and
Clément Canc\`es and
Emmanuel Creusé Discrete Gagliardo--Nirenberg inequality
and application to the finite volume
approximation of a convection-diffusion
equation with a Joule effect term . . . 2394--2436
Jianhai Bao and
Christoph Reisinger and
Panpan Ren and
Wolfgang Stockinger Milstein schemes and antithetic
multilevel Monte Carlo sampling for
delay McKean--Vlasov equations and
interacting particle systems . . . . . . 2437--2479
Benjamin Dörich and
Jan Leibold and
Bernhard Maier Maximum norm error bounds for the full
discretization of nonautonomous wave
equations . . . . . . . . . . . . . . . 2480--2512
Xuelong Gu and
Wenjun Cai and
Yushun Wang and
Chaolong Jiang Linearly implicit energy-preserving
integrating factor methods and
convergence analysis for the 2D
nonlinear Schrödinger equation with wave
operator . . . . . . . . . . . . . . . . 2513--2549
Benjamin Boutin and
Pierre Le Barbenchon and
Nicolas Seguin Correction to: On the stability of
totally upwind schemes for the
hyperbolic initial boundary value
problem . . . . . . . . . . . . . . . . 2550--2551
L. Beirão da Veiga and
C. Canuto and
R. H. Nochetto and
G. Vacca and
M. Verani Adaptive VEM for variable data:
convergence and optimality . . . . . . . 2553--2602
Wenbo Li and
Abner J. Salgado Two-scale methods for the normalized
infinity Laplacian: rates of convergence 2603--2666
Wei Gong and
Buyang Li and
Qiqi Rao Convergent evolving finite element
approximations of boundary evolution
under shape gradient flow . . . . . . . 2667--2697
Snorre H. Christiansen On the definition of curvature in Regge
calculus . . . . . . . . . . . . . . . . 2698--2715
Michael S. Floater On best $p$-norm approximation of
discrete data by polynomials . . . . . . 2716--2724
Hui Liang and
Martin Stynes A general collocation analysis for
weakly singular Volterra integral
equations with variable exponent . . . . 2725--2751
Keegan L. A. Kirk and
Beatrice Riviere and
Rami Masri Numerical analysis of a hybridized
discontinuous Galerkin method for the
Cahn--Hilliard problem . . . . . . . . . 2752--2792
Lu Zhang A local energy-based discontinuous
Galerkin method for fourth-order
semilinear wave equations . . . . . . . 2793--2820
Håkon Hoel and
Sankarasubramanian Ragunathan Higher-order adaptive methods for exit
times of Itô diffusions . . . . . . . . . 2821--2863
Franco Dassi and
Alessio Fumagalli and
Ilario Mazzieri and
Giuseppe Vacca Mixed Virtual Element approximation of
linear acoustic wave equation . . . . . 2864--2891
Christian Döding and
Patrick Henning Uniform $ L^\infty $-bounds for
energy-conserving higher-order time
integrators for the Gross--Pitaevskii
equation with rotation . . . . . . . . . 2892--2935
Sebastian Franz Post-processing and improved error
estimates of numerical methods for
evolutionary systems . . . . . . . . . . 2936--2958
Su-Cheol Yi and
Kai Fu and
Shusen Xie Error estimates of high-order compact
finite difference schemes for the
nonlinear abcd systems . . . . . . . . . 2959--2996
Mokhtar Abbasi and
Mahdi Ahmadinia and
Ali Ahmadinia A new step size selection strategy for
the superiorization methodology using
subgradient vectors and its application
for solving convex constrained
optimization problems . . . . . . . . . 2997--3027
Chao Li and
Xiaojun Chen Group sparse optimization for inpainting
of random fields on the sphere . . . . . 3028--3058
Siyu Cen and
Bangti Jin and
Qimeng Quan and
Zhi Zhou Hybrid neural-network FEM approximation
of diffusion coefficient in elliptic and
parabolic problems . . . . . . . . . . . 3059--3093
Zorica Milovanovi\'c Jekni\'c and
Aleksandra Deli\'c and
Sandra \vZivanovi\'c A two-dimensional boundary value problem
of elliptic type with nonlocal
conjugation conditions . . . . . . . . . 3094--3123
Peipei Lu and
Wei Wang and
Guido Kanschat and
Andreas Rupp Homogeneous multigrid for HDG applied to
the Stokes equation . . . . . . . . . . 3124--3152
Xiaojie Wang and
Yuying Zhao and
Zhongqiang Zhang Weak error analysis for strong
approximation schemes of SDEs with
super-linear coefficients . . . . . . . 3153--3185
Andrea Bonito and
Ricardo H. Nochetto and
Shuo Yang Gamma-convergent LDG method for large
bending deformations of bilayer plates 3187--3233
Michael Neilan and
Maxim Olshanskii An Eulerian finite element method for
the linearized Navier--Stokes problem in
an evolving domain . . . . . . . . . . . 3234--3258
Stephan Mohr and
Yuji Nakatsukasa and
Carolina Urzúa-Torres Full operator preconditioning and the
accuracy of solving linear systems . . . 3259--3279
Buyang Li and
Haigang Li and
Zongze Yang Convergent finite element methods for
the perfect conductivity problem with
close-to-touching inclusions . . . . . . 3280--3312
Kenneth H. Karlsen and
John D. Towers Compactness estimates for difference
schemes for conservation laws with
discontinuous flux . . . . . . . . . . . 3313--3353
Aekta Aggarwal and
Helge Holden and
Ganesh Vaidya Well-posedness and error estimates for
coupled systems of nonlocal conservation
laws . . . . . . . . . . . . . . . . . . 3354--3392
Andreas Prohl and
Yanqing Wang Convergence with rates for a
Riccati-based discretization of SLQ
problems with SPDEs . . . . . . . . . . 3393--3434
Julien Coatléven Unconditionally stable small stencil
enriched multiple point flux
approximations of heterogeneous
diffusion problems on general meshes . . 3435--3481
Stefano Massei and
Leonardo Robol A nested divide-and-conquer method for
tensor Sylvester equations with positive
definite hierarchically semiseparable
coefficients . . . . . . . . . . . . . . 3482--3519
Raimund Bürger and
Arbaz Khan and
Paul E. Méndez and
Ricardo Ruiz-Baier Divergence-conforming methods for
transient double-diffusive flows: a
priori and a posteriori error
analysis . . . . . . . . . . . . . . . . 3520--3572
Enrique Otárola Semilinear optimal control with Dirac
measures . . . . . . . . . . . . . . . . 3573--3594
Balint Negyesi and
Kristoffer Andersson and
Cornelis W. Oosterlee The One Step Malliavin scheme: new
discretization of BSDEs implemented with
deep learning regressions . . . . . . . 3595--3647
Yvonne Alama Bronsard A symmetric low-regularity integrator
for the nonlinear Schrödinger equation 3648--3682
Alejandro Allendes and
Gilberto Campaña and
Francisco Fuica and
Enrique Otárola Darcy's problem coupled with the heat
equation under singular forcing:
analysis and discretization . . . . . . 3683--3716
Xiaoyin Hu and
Nachuan Xiao and
Xin Liu and
Kim-Chuan Toh A constraint dissolving approach for
nonsmooth optimization over the Stiefel
manifold . . . . . . . . . . . . . . . . 3717--3748
Ouyuan Qin and
Kuan Xu Solving nonlinear ODEs with the
ultraspherical spectral method . . . . . 3749--3779
Weiqi Wang and
Simone Brugiapaglia Compressive Fourier collocation methods
for high-dimensional diffusion equations
with periodic boundary conditions . . . 3780--3814
Lourenco Beirão da Veiga and
Franco Dassi and
Giuseppe Vacca Erratum to `Pressure robust
SUPG-stabilized finite elements for the
unsteady Navier--Stokes equation' . . . 3815--3819
Fleurianne Bertrand and
Daniele Boffi On the necessity of the inf--sup
condition for a mixed finite element
formulation . . . . . . . . . . . . . . 1--35
Klaus Deckelnick and
Robert Nürnberg Discrete anisotropic curve shortening
flow in higher codimension . . . . . . . 36--67
Piotr Gwiazda and
Jakub Skrzeczkowski and
Lara Trussardi On the rate of convergence of Yosida
approximation for the nonlocal
Cahn--Hilliard equation . . . . . . . . 68--86
Anthony Ashton Cauchy data for Levin's method . . . . . 87--125
Emmanuel Creusé and
Serge Nicaise and
Zuqi Tang Goal-oriented error estimation based on
equilibrated flux reconstruction for the
approximation of the harmonic
formulations in eddy current problems 126--162
Bosco García-Archilla and
Julia Novo Pressure and convection robust bounds
for continuous interior penalty
divergence-free finite element methods
for the incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 163--187
Francis R. A. Aznaran and
Patrick E. Farrell and
Charles W. Monroe and
Alexander J. Van-Brunt Finite element methods for
multicomponent convection--diffusion . . 188--222
Y. Elboulqe and
M. El Maghri An explicit spectral Fletcher--Reeves
conjugate gradient method for
bi-criteria optimization . . . . . . . . 223--242
Pablo Alexei Gazca-Orozco and
Alex Kaltenbach On the stability and convergence of
discontinuous Galerkin schemes for
incompressible flows . . . . . . . . . . 243--282
Yanzhao Cao and
Thi-Thao-Phuong Hoang and
Phuoc-Toan Huynh Monolithic and local time-stepping
decoupled algorithms for transport
problems in fractured porous media . . . 283--328
T. Chaumont-Frelet An equilibrated estimator for mixed
finite element discretizations of the
curl--curl problem . . . . . . . . . . . 329--353
Nishant Kumar and
J. J. W. van der Vegt and
H. J. Zwart Port-Hamiltonian discontinuous Galerkin
finite element methods . . . . . . . . . 354--403
Chuchu Chen and
Tonghe Dang and
Jialin Hong Strong convergence of adaptive
time-stepping schemes for the stochastic
Allen--Cahn equation . . . . . . . . . . 404--450
Xuejian Li and
Xiaoming He and
Wei Gong and
Craig C. Douglas Variational data assimilation with
finite-element discretization for
second-order parabolic interface
equation . . . . . . . . . . . . . . . . 451--493
Lewin Ernst and
Karsten Urban A certified wavelet-based
physics-informed neural network for the
solution of parameterized partial
differential equations . . . . . . . . . 494--515
Mengchao Wang and
Xiaojie Wang A linearly implicit finite element
full-discretization scheme for SPDEs
with nonglobally Lipschitz coefficients 516--579
Scott Congreve and
Vít Dolej\vsí and
Sun\vcica Saki\'c Error analysis for local discontinuous
Galerkin semidiscretization of Richards'
equation . . . . . . . . . . . . . . . . 580--630
Andreas Prohl and
Yanqing Wang Correction to: Convergence with rates
for a Riccati-based discretization of
SLQ problems with SPDEs . . . . . . . . 631--631
Indranil Chowdhury and
Espen R. Jakobsen Precise error bounds for numerical
approximations of fractional HJB
equations . . . . . . . . . . . . . . . 633--672
Astrid Herremans and
Daan Huybrechs Efficient function approximation in
enriched approximation spaces . . . . . 673--695
Nira Dyn and
David Levin and
Qusay Muzaffar Interpolation of set-valued functions 696--733
Frank Rösler and
Christiane Tretter Computing Klein--Gordon Spectra . . . . 734--776
Tizian Wenzel and
Gabriele Santin and
Bernard Haasdonk Stability of convergence rates: kernel
interpolation on non-Lipschitz domains 777--798
Xiaojing Dong and
Huayi Huang and
Yunqing Huang and
Xiaojuan Shen and
Qili Tang Optimal convergence analysis of two
RPC-SAV schemes for the unsteady
incompressible magnetohydrodynamics
equations . . . . . . . . . . . . . . . 799--842
Rodolfo Bermejo and
Manuel Colera High-order Lagrange--Galerkin methods
for the conservative formulation of the
advection--diffusion equation . . . . . 843--893
Chuchu Chen and
Jialin Hong and
Chuying Huang Stochastic modified equations for
symplectic methods applied to rough
Hamiltonian systems . . . . . . . . . . 894--933
L. Beirão da Veiga and
C. Lovadina and
M. Trezzi CIP-stabilized virtual elements for
diffusion--convection--reaction problems 934--970
Serge Gratton and
Sadok Jerad and
Philippe L. Toint Yet another fast variant of Newton's
method for nonconvex optimization . . . 971--1008
Qigang Liang and
Xuejun Xu and
Shangyou Zhang On a sharp estimate of overlapping
Schwarz methods in $ H({\rm curl};
\Omega) $ and $ H({\rm div}; \Omega) $ 1009--1027
Bogdan Radu and
Herbert Egger A Yee-like finite-element scheme for
Maxwell's equations on unstructured
grids . . . . . . . . . . . . . . . . . 1028--1053
Mária Luká\vcová-Medvi\vdová and
Bangwei She and
Yuhuan Yuan Convergence and error estimates of a
penalization finite volume method for
the compressible Navier--Stokes system 1054--1101
Anna Kh Balci and
Alex Kaltenbach Error analysis for a Crouzeix--Raviart
approximation of the variable exponent
Dirichlet problem . . . . . . . . . . . 1102--1142
Markus Faustmann and
Alexander Rieder FEM-BEM coupling in fractional diffusion 1143--1172
W. Arendt and
I. Chalendar and
R. Eymard Space--time error estimates for
approximations of linear parabolic
problems with generalized time boundary
conditions . . . . . . . . . . . . . . . 1173--1225
Kang Liu and
Laurent Pfeiffer A mesh-independent method for
second-order potential mean field games 1226--1266
H. Egger and
J. Giesselmann and
T. Kunkel and
N. Philippi Correction to: An asymptotic-preserving
discretization scheme for gas transport
in pipe networks . . . . . . . . . . . . 1267--1267
Matthias J. Ehrhardt and
Erlend S. Riis and
Torbjòrn Ringholm and
Carola-Bibiane Schönlieb A geometric integration approach to
smooth optimization: foundations of the
discrete gradient method . . . . . . . . 1269--1299
Sören Bartels and
Philipp Tscherner Necessary and sufficient conditions for
avoiding Babuska's paradox on simplicial
meshes . . . . . . . . . . . . . . . . . 1300--1319
Dietmar Gallistl and
Moritz Hauck and
Yizhou Liang and
Daniel Peterseim Mixed finite elements for the
Gross--Pitaevskii eigenvalue problem:
\em a priori error analysis and
guaranteed lower energy bound . . . . . 1320--1346
Dietmar Gallistl and
Shudan Tian Continuous finite elements satisfying a
strong discrete Miranda--Talenti
identity . . . . . . . . . . . . . . . . 1347--1371
Z. Dong and
L. Mascotto hp-optimal convergence of the original
DG method for linear hyperbolic problems
on special simplicial meshes . . . . . . 1372--1396
Raghu Bollapragada and
Tyler Chen and
Rachel Ward On the fast convergence of minibatch
heavy ball momentum . . . . . . . . . . 1397--1424
Hong-lin Liao and
Nan Liu and
Xuan Zhao Asymptotically compatible energy of
variable-step fractional BDF2 scheme for
the time-fractional Cahn--Hilliard model 1425--1454
Lina Wang and
Mingzhu Zhang and
Hongjiong Tian and
Lijun Yi hp-version $ C^1 $-continuous
Petrov--Galerkin method for nonlinear
second-order initial value problems with
application to wave equations . . . . . 1455--1500
Jialin Hong and
Diancong Jin and
Derui Sheng Convergence analysis for minimum action
methods coupled with a finite difference
method . . . . . . . . . . . . . . . . . 1501--1536
Rada M. Mutavdzi\'c Djuki\'c The error bounds of Gaussian quadratures
for one rational modification of
Chebyshev measures . . . . . . . . . . . 1537--1557
Kelong Zhao and
Shuhuang Xiang Barycentric rational interpolation of
exponentially clustered poles . . . . . 1558--1584
Ting Tan and
Waixiang Cao Legendre spectral method and error
estimates for Helmholtz transmission
eigenvalues in a cylinder . . . . . . . 1585--1613
Bo Feng and
Gang Wu First-Order Perturbation Theory of
Trust-Region Subproblem . . . . . . . . 1614--1647
Nathan E. Glatt-Holtz and
Cecilia F. Mondaini Long-term accuracy of numerical
approximations of SPDEs with the
stochastic Navier--Stokes equations as a
paradigm . . . . . . . . . . . . . . . . 1648--1742
Thomas Trogdon On the convergence of Fourier spectral
methods involving noncompact operators 1743--1785
Stefano Bonetti and
Michele Botti and
Paola F. Antonietti Robust discontinuous Galerkin-based
scheme for the fully-coupled nonlinear
thermo-hydro-mechanical problem . . . . 1786--1820
Beniamin Goldys and
Chunxi Jiao and
Kim-Ngan Le Numerical method and error estimate for
stochastic Landau--Lifshitz--Bloch
equation . . . . . . . . . . . . . . . . 1821--1867
Valentin Carlier and
Martin Campos Pinto and
Francesco Fambri Mass, momentum and energy preserving
FEEC and broken-FEEC schemes for the
incompressible Navier--Stokes equations 1868--1904
Barbara Kaltenbacher Convergence rates under a range
invariance condition with application to
electrical impedance tomography . . . . 1905--1935
Julio Careaga and
Gabriel N. Gatica and
Cristian Inzunza and
Ricardo Ruiz-Baier New Banach spaces-based mixed finite
element methods for the coupled
poroelasticity and heat equations . . . 1936--1984
Haifeng Ji and
Dong Liang and
Qian Zhang A mini immersed finite element method
for two-phase Stokes problems on
Cartesian meshes . . . . . . . . . . . . 1985--2022
Lun Ji and
Alexander Ostermann and
Frédéric Rousset and
Katharina Schratz Low regularity error estimates for the
time integration of 2D NLS . . . . . . . 2023--2059
Katharina Klioba and
Mark Veraar Pathwise uniform convergence of time
discretization schemes for SPDEs . . . . 2060--2131
Dolores Gómez and
Bibiana López-Rodríguez and
Pilar Salgado and
Pablo Venegas A coupled steady thermo-electromagnetic
problem in axisymmetric geometries.
Mathematical and numerical analysis . . 2132--2170
Yifan Wei and
Jiwei Zhang and
Chengchao Zhao and
Yanmin Zhao An unconditionally energy dissipative,
adaptive IMEX BDF2 scheme and its error
estimates for Cahn--Hilliard equation on
generalized SAV approach . . . . . . . . 2171--2203
Marianne Bessemoulin-Chatard and
Tino Laidin and
Thomas Rey Discrete hypocoercivity for a nonlinear
kinetic reaction model . . . . . . . . . 2204--2247
Felix Krumbiegel and
Roland Maier A higher order multiscale method for the
wave equation . . . . . . . . . . . . . 2248--2273
Lise-Marie Imbert-Gérard and
Guillaume Sylvand Three types of quasi-Trefftz functions
for the 3D convected Helmholtz equation:
construction and approximation
properties . . . . . . . . . . . . . . . 2274--2328
Jizu Huang High-order energy stable discrete
variational derivative schemes for
gradient flows . . . . . . . . . . . . . 2329--2360
Claudine von Hallern and
Ricarda Missfeldt and
Andreas Rössler An exponential stochastic Runge--Kutta
type method of order up to 1.5 for SPDEs
of Nemytskii-type . . . . . . . . . . . 2361--2403
Stefan Metzger A convergent stochastic scalar auxiliary
variable method . . . . . . . . . . . . 2404--2469
Jonna C. Roden and
Rory D. Mills-Williams and
John W. Pearson and
Benjamin D. Goddard MultiShape: a spectral element method,
with applications to Dynamic Density
Functional Theory and PDE-constrained
optimization . . . . . . . . . . . . . . 2470--2504
Lina Zhao \em A priori and \em a posteriori error
analysis of a mixed DG method for the
three-field quasi-Newtonian Stokes flow 2505--2543
Jörg Nick and
Selina Burkhard and
Christian Lubich Time-dependent electromagnetic
scattering from dispersive materials . . 2545--2580
Dominik Edelmann and
Balázs Kovács and
Christian Lubich Numerical analysis of an evolving
bulk-surface model of tumour growth . . 2581--2627
Erik Burman and
Rebecca Durst and
Miguel A Fernández and
Johnny Guzmán and
Sijing Liu A second-order correction method for
loosely coupled discretizations applied
to parabolic--parabolic interface
problems . . . . . . . . . . . . . . . . 2628--2654
Young-Ju Lee and
Jongho Park On the linear convergence of additive
Schwarz methods for the $p$-Laplacian 2655--2684
Alexander Dominicus and
Fernando D Gaspoz and
Christian Kreuzer Convergence of an adaptive $ C^0
$-interior penalty Galerkin method for
the biharmonic problem . . . . . . . . . 2685--2722
Takahito Kashiwabara Finite element analysis of a generalized
Robin boundary value problem in curved
domains based on the extension approach 2723--2755
István Faragó and
Róbert Horváth and
János Karátson Discrete maximum-minimum principle for a
linearly implicit scheme for nonlinear
parabolic FEM problems under weakened
time restrictions . . . . . . . . . . . 2756--2790
Jan Giesselmann and
Niklas Kolbe A posteriori error analysis of a
positivity preserving scheme for the
power-law diffusion Keller--Segel model 2791--2823
Martin Buhmann and
Yuan Xu Positive definite functions on a regular
domain . . . . . . . . . . . . . . . . . 2824--2843
Elena Giammatteo and
Alexander Heinlein and
Matthias Schlottbom An extension of the approximate
component mode synthesis method to the
heterogeneous Helmholtz equation . . . . 2844--2879
Víctor Domínguez and
Catalin Turc Stability estimates of Nyström
discretizations of Helmholtz
decomposition boundary integral equation
formulations for the solution of Navier
scattering problems in two dimensions
with Dirichlet boundary conditions . . . 2880--2920
Nicholas Hale A spectral collocation method for
functional and delay differential
equations . . . . . . . . . . . . . . . 2921--2947
Hanne Hardering and
Simon Praetorius Parametric finite-element discretization
of the surface Stokes equations: inf-sup
stability and discretization error
analysis . . . . . . . . . . . . . . . . 2948--2987
Marius Zeinhofer and
Rami Masri and
Kent--André Mardal A unified framework for the error
analysis of physics-informed neural
networks . . . . . . . . . . . . . . . . 2988--3025
Luigi C. Berselli and
Alex Kaltenbach Error analysis for a finite element
approximation of the steady $
p(\cdot)$-Navier--Stokes equations . . . 3026--3076
Máté Gerencsér and
Gerald Lampl and
Chengcheng Ling The Milstein scheme for singular SDEs
with Hölder continuous drift . . . . . . 3077--3108
Rong An and
Yonglin Li and
Weiwei Sun Optimal error analysis of the normalized
tangent plane FEM for
Landau--Lifshitz--Gilbert equation . . . 3109--3137
Anastasia Istratuca and
Aretha L. Teckentrup Smoothed circulant embedding with
applications to multilevel Monte Carlo
methods for PDEs with random
coefficients . . . . . . . . . . . . . . 3138--3178