Table of contents for issues of IMA Journal of Numerical Analysis

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Volume 1, Number 1, January, 1981
Volume 1, Number 2, 1981
Volume 1, Number 3, July, 1981
Volume 1, Number 4, 1981
Volume 2, Number 1, January, 1982
Volume 2, Number 2, April, 1982
Volume 2, Number 3, July, 1982
Volume 2, Number 4, October, 1982
Volume 3, Number 1, 1983
Volume 3, Number 2, 1983
Volume 3, Number 3, 1983
Volume 3, Number 4, 1983
Volume 4, Number 1, January, 1984
Volume 4, Number 2, April, 1984
Volume 4, Number 3, July, 1984
Volume 4, Number 4, October, 1984
Volume 5, Number 1, 1985
Volume 5, Number 2, 1985
Volume 5, Number 3, 1985
Volume 5, Number 4, 1985
Volume 6, Number 1, 1986
Volume 6, Number 2, 1986
Volume 6, Number 3, 1986
Volume 6, Number 4, 1986
Volume 7, Number 1, 1987
Volume 7, Number 2, 1987
Volume 7, Number 3, 1987
Volume 7, Number 4, 1987
Volume 8, Number 1, 1988
Volume 8, Number 2, 1988
Volume 8, Number 3, 1988
Volume 8, Number 4, October, 1988
Volume 9, Number 1, 1989
Volume 9, Number 2, 1989
Volume 9, Number 3, 1989
Volume 9, Number 4, 1989
Volume 10, Number 1, January, 1990
Volume 10, Number 2, 1990
Volume 10, Number 3, 1990
Volume 10, Number 4, 1990
Volume 11, Number 1, 1991
Volume 11, Number 2, 1991
Volume 11, Number 3, 1991
Volume 11, Number 4, 1991
Volume 12, Number 1, 1992
Volume 12, Number 2, 1992
Volume 12, Number 3, 1992
Volume 12, Number 4, 1992
Volume 13, Number 1, 1993
Volume 13, Number 2, 1993
Volume 13, Number 3, 1993
Volume 13, Number 4, 1993
Volume 14, Number 1, 1994
Volume 14, Number 2, 1994
Volume 14, Number 3, 1994
Volume 14, Number 4, 1994
Volume 15, Number 1, 1995
Volume 15, Number 2, 1995
Volume 15, Number 3, 1995
Volume 15, Number 4, 1995
Volume 16, Number 1, January, 1996
Volume 16, Number 2, April, 1996
Volume 16, Number 3, July, 1996
Volume 16, Number 4, October, 1996
Volume 17, Number 1, January, 1997
Volume 17, Number 2, April, 1997
Volume 17, Number 3, July, 1997
Volume 17, Number 4, October, 1997
Volume 18, Number 1, January, 1998
Volume 18, Number 2, April, 1998
Volume 18, Number 3, July, 1998
Volume 18, Number 4, October, 1998
Volume 19, Number 1, January, 1999
Volume 19, Number 2, April, 1999
Volume 19, Number 3, July, 1999
Volume 19, Number 4, October, 1999
Volume 20, Number 1, January, 2000
Volume 20, Number 2, April, 2000
Volume 20, Number 3, 2000
Volume 20, Number 4, October, 2000
Volume 21, Number 1, January, 2001
Volume 21, Number 2, April, 2001
Volume 21, Number 3, July, 2001
Volume 21, Number 4, October, 2001
Volume 22, Number 1, January, 2002
Volume 22, Number 2, April, 2002
Volume 22, Number 3, July, 2002
Volume 22, Number 4, October, 2002
Volume 23, Number 1, January, 2003
Volume 23, Number 2, April, 2003
Volume 23, Number 3, July, 2003
Volume 23, Number 4, October, 2003
Volume 24, Number 1, January, 2004
Volume 24, Number 2, April, 2004
Volume 24, Number 3, July, 2004
Volume 24, Number 4, October, 2004
Volume 25, Number 1, January, 2005
Volume 25, Number 2, April, 2005
Volume 25, Number 3, July, 2005
Volume 25, Number 4, October, 2005
Volume 26, Number 1, January, 2006
Volume 26, Number 2, April, 2006
Volume 26, Number 3, July, 2006
Volume 26, Number 4, October, 2006
Volume 27, Number 1, January, 2007
Volume 27, Number 2, April, 2007
Volume 27, Number 3, July, 2007
Volume 27, Number 4, October, 2007
Volume 28, Number 1, January, 2008
Volume 28, Number 2, April, 2008
Volume 28, Number 3, July, 2008
Volume 28, Number 4, October, 2008
Volume 29, Number 1, January, 2009
Volume 29, Number 2, April, 2009
Volume 29, Number 3, July, 2009
Volume 29, Number 4, October, 2009
Volume 30, Number 1, January, 2010
Volume 30, Number 2, April, 2010
Volume 30, Number 3, July, 2010
Volume 30, Number 4, October, 2010
Volume 31, Number 1, January, 2011
Volume 31, Number 2, April, 2011
Volume 31, Number 3, July, 2011
Volume 31, Number 4, October, 2011
Volume 32, Number 1, January, 2012
Volume 32, Number 2, April, 2012
Volume 32, Number 3, July, 2012
Volume 32, Number 4, October, 2012
Volume 33, Number 1, January, 2013
Volume 33, Number 2, April, 2013
Volume 33, Number 4, October, 2013
Volume 34, Number 1, January, 2014
Volume 34, Number 2, April, 2014
Volume 34, Number 3, July, 2014
Volume 34, Number 4, October, 2014
Volume 35, Number 1, January, 2015
Volume 35, Number 2, April, 2015
Volume 35, Number 3, July, 2015
Volume 35, Number 4, October, 2015
Volume 36, Number 1, January, 2016
Volume 36, Number 2, April, 2016
Volume 36, Number 3, July, 2016
Volume 36, Number 4, October, 2016
Volume 37, Number 1, January 1, 2017
Volume 37, Number 2, April, 2017
Volume 37, Number 3, July 1, 2017
Volume 37, Number 4, October 1, 2017
Volume 38, Number 1, January 25, 2018
Volume 38, Number 2, April 18, 2018
Volume 38, Number 3, July 17, 2018
Volume 38, Number 4, October 16, 2018
Volume 39, Number 1, January 25, 2019
Volume 39, Number 2, April, 2019
Volume 39, Number 3, July, 2019
Volume 39, Number 4, October, 2019
Volume 40, Number 1, January, 2020
Volume 40, Number 2, April, 2020
Volume 40, Number 3, July, 2020
Volume 40, Number 4, October, 2020
Volume 41, Number 1, January, 2021
Volume 41, Number 2, April, 2021
Volume 41, Number 3, July, 2021
Volume 41, Number 4, October, 2021
Volume 42, Number 1, January, 2022
Volume 42, Number 2, April, 2022
Volume 42, Number 3, July, 2022
Volume 42, Number 4, October, 2022
Volume 43, Number 1, January, 2023
Volume 43, Number 2, March, 2023
Volume 43, Number 3, May, 2023
Volume 43, Number 4, July, 2023
Volume 43, Number 5, September, 2023
Volume 43, Number 6, November, 2023
Volume 44, Number 1, January, 2024


IMA Journal of Numerical Analysis
Volume 1, Number 1, January, 1981

               K. W. Morton and   
                M. J. D. Powell   Editorial  . . . . . . . . . . . . . . . 1--1
                      M. G. Cox   The least squares solution of
                                  overdetermined linear equations having
                                  band or augmented band structure . . . . 3--22
                   G. Moore and   
                      A. Spence   The convergence of operator
                                  approximations at turning points . . . . 23--38
               J. M. Sanz-Serna   Linearly implicit variable coefficient
                                  methods of Lambert--Sigurdsson type  . . 39--45
            S. W. Schoombie and   
                    J. F. Botha   Error estimates for the solution of the
                                  radial Schrödinger equation by the
                                  Rayleigh--Ritz finite element method . . 47--63
               J. de Pillis and   
                     M. Neumann   Iterative methods with $k$-part
                                  splittings . . . . . . . . . . . . . . . 65--79
            G. H. Behforooz and   
                 N. Papamichael   End conditions for interpolatory quintic
                                  splines  . . . . . . . . . . . . . . . . 81--93
             R. E. Barnhill and   
                J. H. Brown and   
                 A. R. Mitchell   A comparison of finite element error
                                  bounds for Poisson's equation  . . . . . 95--103
          J. L. Schonfelder and   
                       M. Razaz   Error control with polynomial
                                  approximations . . . . . . . . . . . . . 105--114
             Charles M. Elliott   On the finite element approximation of
                                  an elliptic variational inequality
                                  arising from an implicit time
                                  discretization of the Stefan problem . . 115--125
                    C. P. Huang   On the convergence of the $ Q R $
                                  algorithm with origin shifts for normal
                                  matrices . . . . . . . . . . . . . . . . 127--133

IMA Journal of Numerical Analysis
Volume 1, Number 2, 1981

              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

IMA Journal of Numerical Analysis
Volume 1, Number 3, July, 1981

                 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

IMA Journal of Numerical Analysis
Volume 1, Number 4, 1981

                     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


IMA Journal of Numerical Analysis
Volume 2, Number 1, January, 1982

              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

IMA Journal of Numerical Analysis
Volume 2, Number 2, April, 1982

              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

IMA Journal of Numerical Analysis
Volume 2, Number 3, July, 1982

                 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

IMA Journal of Numerical Analysis
Volume 2, Number 4, October, 1982

             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


IMA Journal of Numerical Analysis
Volume 3, Number 1, 1983

         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

IMA Journal of Numerical Analysis
Volume 3, Number 2, 1983

               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

IMA Journal of Numerical Analysis
Volume 3, Number 3, 1983

                  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

IMA Journal of Numerical Analysis
Volume 3, Number 4, 1983

                 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


IMA Journal of Numerical Analysis
Volume 4, Number 1, January, 1984

                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

IMA Journal of Numerical Analysis
Volume 4, Number 2, April, 1984

               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

IMA Journal of Numerical Analysis
Volume 4, Number 3, July, 1984

                  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

IMA Journal of Numerical Analysis
Volume 4, Number 4, October, 1984

               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


IMA Journal of Numerical Analysis
Volume 5, Number 1, 1985

                      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

IMA Journal of Numerical Analysis
Volume 5, Number 2, 1985

                  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

IMA Journal of Numerical Analysis
Volume 5, Number 3, 1985

                    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

IMA Journal of Numerical Analysis
Volume 5, Number 4, 1985

                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


IMA Journal of Numerical Analysis
Volume 6, Number 1, 1986

       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

IMA Journal of Numerical Analysis
Volume 6, Number 2, 1986

                     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

IMA Journal of Numerical Analysis
Volume 6, Number 3, 1986

            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

IMA Journal of Numerical Analysis
Volume 6, Number 4, 1986

                     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


IMA Journal of Numerical Analysis
Volume 7, Number 1, 1987

                   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

IMA Journal of Numerical Analysis
Volume 7, Number 2, 1987

            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

IMA Journal of Numerical Analysis
Volume 7, Number 3, 1987

                   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

IMA Journal of Numerical Analysis
Volume 7, Number 4, 1987

               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


IMA Journal of Numerical Analysis
Volume 8, Number 1, 1988

                  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

IMA Journal of Numerical Analysis
Volume 8, Number 2, 1988

              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

IMA Journal of Numerical Analysis
Volume 8, Number 3, 1988

         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

IMA Journal of Numerical Analysis
Volume 8, Number 4, October, 1988

          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


IMA Journal of Numerical Analysis
Volume 9, Number 1, 1989

              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

IMA Journal of Numerical Analysis
Volume 9, Number 2, 1989

               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

IMA Journal of Numerical Analysis
Volume 9, Number 3, 1989

             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

IMA Journal of Numerical Analysis
Volume 9, Number 4, 1989

                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


IMA Journal of Numerical Analysis
Volume 10, Number 1, January, 1990

                     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

IMA Journal of Numerical Analysis
Volume 10, Number 2, 1990

                     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

IMA Journal of Numerical Analysis
Volume 10, Number 3, 1990

              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

IMA Journal of Numerical Analysis
Volume 10, Number 4, 1990

                 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


IMA Journal of Numerical Analysis
Volume 11, Number 1, 1991

                 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

IMA Journal of Numerical Analysis
Volume 11, Number 2, 1991

    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

IMA Journal of Numerical Analysis
Volume 11, Number 3, 1991

           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

IMA Journal of Numerical Analysis
Volume 11, Number 4, 1991

           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


IMA Journal of Numerical Analysis
Volume 12, Number 1, 1992

          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

IMA Journal of Numerical Analysis
Volume 12, Number 2, 1992

             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

IMA Journal of Numerical Analysis
Volume 12, Number 3, 1992

            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

IMA Journal of Numerical Analysis
Volume 12, Number 4, 1992

             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


IMA Journal of Numerical Analysis
Volume 13, Number 1, 1993

                 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

IMA Journal of Numerical Analysis
Volume 13, Number 2, 1993

                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

IMA Journal of Numerical Analysis
Volume 13, Number 3, 1993

                  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

IMA Journal of Numerical Analysis
Volume 13, Number 4, 1993

                  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


IMA Journal of Numerical Analysis
Volume 14, Number 1, 1994

                  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

IMA Journal of Numerical Analysis
Volume 14, Number 2, 1994

            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

IMA Journal of Numerical Analysis
Volume 14, Number 3, 1994

                  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

IMA Journal of Numerical Analysis
Volume 14, Number 4, 1994

            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


IMA Journal of Numerical Analysis
Volume 15, Number 1, 1995

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

IMA Journal of Numerical Analysis
Volume 15, Number 2, 1995

                 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

IMA Journal of Numerical Analysis
Volume 15, Number 3, 1995

                   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

IMA Journal of Numerical Analysis
Volume 15, Number 4, 1995

        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


IMA Journal of Numerical Analysis
Volume 16, Number 1, January, 1996

                   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

IMA Journal of Numerical Analysis
Volume 16, Number 2, April, 1996

              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

IMA Journal of Numerical Analysis
Volume 16, Number 3, July, 1996

            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

IMA Journal of Numerical Analysis
Volume 16, Number 4, October, 1996

             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


IMA Journal of Numerical Analysis
Volume 17, Number 1, January, 1997

                  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

IMA Journal of Numerical Analysis
Volume 17, Number 2, April, 1997

                       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

IMA Journal of Numerical Analysis
Volume 17, Number 3, July, 1997

                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

IMA Journal of Numerical Analysis
Volume 17, Number 4, October, 1997

             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


IMA Journal of Numerical Analysis
Volume 18, Number 1, January, 1998

                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

IMA Journal of Numerical Analysis
Volume 18, Number 2, April, 1998

      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

IMA Journal of Numerical Analysis
Volume 18, Number 3, July, 1998

          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

IMA Journal of Numerical Analysis
Volume 18, Number 4, October, 1998

         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


IMA Journal of Numerical Analysis
Volume 19, Number 1, January, 1999

                 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

IMA Journal of Numerical Analysis
Volume 19, Number 2, April, 1999

                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

IMA Journal of Numerical Analysis
Volume 19, Number 3, July, 1999

          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

IMA Journal of Numerical Analysis
Volume 19, Number 4, October, 1999

              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


IMA Journal of Numerical Analysis
Volume 20, Number 1, January, 2000

           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

IMA Journal of Numerical Analysis
Volume 20, Number 2, April, 2000

        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

IMA Journal of Numerical Analysis
Volume 20, Number 3, 2000

              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

IMA Journal of Numerical Analysis
Volume 20, Number 4, October, 2000

         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


IMA Journal of Numerical Analysis
Volume 21, Number 1, January, 2001

                    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

IMA Journal of Numerical Analysis
Volume 21, Number 2, April, 2001

            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

IMA Journal of Numerical Analysis
Volume 21, Number 3, July, 2001

               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

IMA Journal of Numerical Analysis
Volume 21, Number 4, October, 2001

            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


IMA Journal of Numerical Analysis
Volume 22, Number 1, January, 2002

                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

IMA Journal of Numerical Analysis
Volume 22, Number 2, April, 2002

           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

IMA Journal of Numerical Analysis
Volume 22, Number 3, July, 2002

             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

IMA Journal of Numerical Analysis
Volume 22, Number 4, October, 2002

           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


IMA Journal of Numerical Analysis
Volume 23, Number 1, January, 2003

              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

IMA Journal of Numerical Analysis
Volume 23, Number 2, April, 2003

            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

IMA Journal of Numerical Analysis
Volume 23, Number 3, July, 2003

                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

IMA Journal of Numerical Analysis
Volume 23, Number 4, October, 2003

  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


IMA Journal of Numerical Analysis
Volume 24, Number 1, January, 2004

                      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

IMA Journal of Numerical Analysis
Volume 24, Number 2, April, 2004

               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

IMA Journal of Numerical Analysis
Volume 24, Number 3, July, 2004

                  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

IMA Journal of Numerical Analysis
Volume 24, Number 4, October, 2004

             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


IMA Journal of Numerical Analysis
Volume 25, Number 1, January, 2005

                  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

IMA Journal of Numerical Analysis
Volume 25, Number 2, April, 2005

           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

IMA Journal of Numerical Analysis
Volume 25, Number 3, July, 2005

              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

IMA Journal of Numerical Analysis
Volume 25, Number 4, October, 2005

               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


IMA Journal of Numerical Analysis
Volume 26, Number 1, January, 2006

 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

IMA Journal of Numerical Analysis
Volume 26, Number 2, April, 2006

                  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

IMA Journal of Numerical Analysis
Volume 26, Number 3, July, 2006

                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

IMA Journal of Numerical Analysis
Volume 26, Number 4, October, 2006

                   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


IMA Journal of Numerical Analysis
Volume 27, Number 1, January, 2007

              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

IMA Journal of Numerical Analysis
Volume 27, Number 2, April, 2007

              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

IMA Journal of Numerical Analysis
Volume 27, Number 3, July, 2007

              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

IMA Journal of Numerical Analysis
Volume 27, Number 4, October, 2007

               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


IMA Journal of Numerical Analysis
Volume 28, Number 1, January, 2008

      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

IMA Journal of Numerical Analysis
Volume 28, Number 2, April, 2008

                  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

IMA Journal of Numerical Analysis
Volume 28, Number 3, July, 2008

             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

IMA Journal of Numerical Analysis
Volume 28, Number 4, October, 2008

              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


IMA Journal of Numerical Analysis
Volume 29, Number 1, January, 2009

               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

IMA Journal of Numerical Analysis
Volume 29, Number 2, April, 2009

              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

IMA Journal of Numerical Analysis
Volume 29, Number 3, July, 2009

                 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

IMA Journal of Numerical Analysis
Volume 29, Number 4, October, 2009

             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


IMA Journal of Numerical Analysis
Volume 30, Number 1, January, 2010

         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

IMA Journal of Numerical Analysis
Volume 30, Number 2, April, 2010

           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

IMA Journal of Numerical Analysis
Volume 30, Number 3, July, 2010

            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

IMA Journal of Numerical Analysis
Volume 30, Number 4, October, 2010

             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


IMA Journal of Numerical Analysis
Volume 31, Number 1, January, 2011

     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

IMA Journal of Numerical Analysis
Volume 31, Number 2, April, 2011

                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

IMA Journal of Numerical Analysis
Volume 31, Number 3, July, 2011

        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

IMA Journal of Numerical Analysis
Volume 31, Number 4, October, 2011

        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


IMA Journal of Numerical Analysis
Volume 32, Number 1, January, 2012

    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

IMA Journal of Numerical Analysis
Volume 32, Number 2, April, 2012

           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

IMA Journal of Numerical Analysis
Volume 32, Number 3, July, 2012

         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

IMA Journal of Numerical Analysis
Volume 32, Number 4, October, 2012

                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


IMA Journal of Numerical Analysis
Volume 33, Number 1, January, 2013

         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

IMA Journal of Numerical Analysis
Volume 33, Number 2, April, 2013

         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

IMA Journal of Numerical Analysis
Volume 33, Number 4, October, 2013

             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


IMA Journal of Numerical Analysis
Volume 34, Number 1, January, 2014

               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

IMA Journal of Numerical Analysis
Volume 34, Number 2, April, 2014

                  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

IMA Journal of Numerical Analysis
Volume 34, Number 3, July, 2014

               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

IMA Journal of Numerical Analysis
Volume 34, Number 4, October, 2014

            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


IMA Journal of Numerical Analysis
Volume 35, Number 1, January, 2015

            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

IMA Journal of Numerical Analysis
Volume 35, Number 2, April, 2015

              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

IMA Journal of Numerical Analysis
Volume 35, Number 3, July, 2015

               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

IMA Journal of Numerical Analysis
Volume 35, Number 4, October, 2015

                 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


IMA Journal of Numerical Analysis
Volume 36, Number 1, January, 2016

               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

IMA Journal of Numerical Analysis
Volume 36, Number 2, April, 2016

             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

IMA Journal of Numerical Analysis
Volume 36, Number 3, July, 2016

               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

IMA Journal of Numerical Analysis
Volume 36, Number 4, October, 2016

            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


IMA Journal of Numerical Analysis
Volume 37, Number 1, January 1, 2017

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

IMA Journal of Numerical Analysis
Volume 37, Number 2, April, 2017

         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

IMA Journal of Numerical Analysis
Volume 37, Number 3, July 1, 2017

               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

IMA Journal of Numerical Analysis
Volume 37, Number 4, October 1, 2017

                 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


IMA Journal of Numerical Analysis
Volume 38, Number 1, January 25, 2018

              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

IMA Journal of Numerical Analysis
Volume 38, Number 2, April 18, 2018

         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

IMA Journal of Numerical Analysis
Volume 38, Number 3, July 17, 2018

             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

IMA Journal of Numerical Analysis
Volume 38, Number 4, October 16, 2018

            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


IMA Journal of Numerical Analysis
Volume 39, Number 1, January 25, 2019

             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

IMA Journal of Numerical Analysis
Volume 39, Number 2, April, 2019

         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

IMA Journal of Numerical Analysis
Volume 39, Number 3, July, 2019

             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

IMA Journal of Numerical Analysis
Volume 39, Number 4, October, 2019

              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


IMA Journal of Numerical Analysis
Volume 40, Number 1, January, 2020

         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

IMA Journal of Numerical Analysis
Volume 40, Number 2, April, 2020

            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

IMA Journal of Numerical Analysis
Volume 40, Number 3, July, 2020

            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

IMA Journal of Numerical Analysis
Volume 40, Number 4, October, 2020

   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


IMA Journal of Numerical Analysis
Volume 41, Number 1, January, 2021

                   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

IMA Journal of Numerical Analysis
Volume 41, Number 2, April, 2021

                 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

IMA Journal of Numerical Analysis
Volume 41, Number 3, July, 2021

                      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

IMA Journal of Numerical Analysis
Volume 41, Number 4, October, 2021

           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


IMA Journal of Numerical Analysis
Volume 42, Number 1, January, 2022

               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

IMA Journal of Numerical Analysis
Volume 42, Number 2, April, 2022

         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

IMA Journal of Numerical Analysis
Volume 42, Number 3, July, 2022

         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

IMA Journal of Numerical Analysis
Volume 42, Number 4, October, 2022

          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


IMA Journal of Numerical Analysis
Volume 43, Number 1, January, 2023

          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

IMA Journal of Numerical Analysis
Volume 43, Number 2, March, 2023

              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

IMA Journal of Numerical Analysis
Volume 43, Number 3, May, 2023

           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

IMA Journal of Numerical Analysis
Volume 43, Number 4, July, 2023

             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

IMA Journal of Numerical Analysis
Volume 43, Number 5, September, 2023

             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

IMA Journal of Numerical Analysis
Volume 43, Number 6, November, 2023

              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


IMA Journal of Numerical Analysis
Volume 44, Number 1, January, 2024

         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