Last update: Mon Oct 7 15:09:38 MDT 2024
Volume 1, Number 1, January, 1981K. 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