Table of contents for issues of Mathematics of Computation

Last update: Tue Jan 2 07:30:32 MST 2024                Valid HTML 3.2!

Volume 47, Number 175, July, 1986
Volume 67, Number 221, January, 1998
Volume 73, Number 245, January, 2004
Volume 74, Number 252, October, 2005
Volume 79, Number 269, January, 2010
Volume 79, Number 270, April, 2010
Volume 79, Number 271, July, 2010
Volume 79, Number 272, October, 2010
Volume 80, Number 273, January, 2011
Volume 80, Number 274, April, 2011
Volume 80, Number 275, July, 2011
Volume 80, Number 276, October, 2011
Volume 81, Number 277, January, 2012
Volume 81, Number 278, April, 2012
Volume 81, Number 279, July, 2012
Volume 81, Number 280, October, 2012
Volume 82, Number 281, January, 2013
Volume 82, Number 282, 2013
Volume 82, Number 283, 2013
Volume 82, Number 284, 2013
Volume 83, Number 285, 2014
Volume 83, Number 286, 2014
Volume 83, Number 287, 2014
Volume 83, Number 288, 2014
Volume 83, Number 289, 2014
Volume 83, Number 290, 2014
Volume 84, Number 291, 2015
Volume 84, Number 292, 2015
Volume 84, Number 293, 2015
Volume 84, Number 294, 2015
Volume 84, Number 295, 2015
Volume 84, Number 296, 2015
Volume 85, Number 297, 2016
Volume 85, Number 298, 2016
Volume 85, Number 299, 2016
Volume 85, Number 300, July, 2016
Volume 85, Number 301, September, 2016
Volume 85, Number 302, November, 2016
Volume 86, Number 303, January, 2017
Volume 86, Number 304, 2017
Volume 86, Number 305, 2017
Volume 86, Number 306, 2017
Volume 86, Number 307, 2017
Volume 86, Number 308, 2017
Volume 87, Number 309, 2018
Volume 87, Number 310, 2018
Volume 87, Number 311, July, 2018
Volume 87, Number 312, October, 2018
Volume 87, Number 313, January, 2018
Volume 87, Number 314, April, 2018
Volume 88, Number 315, July, 2019
Volume 88, Number 316, October, 2019
Volume 88, Number 317, January, 2019
Volume 88, Number 318, April, 2019
Volume 88, Number 319, July, 2019
Volume 88, Number 320, October, 2019


Mathematics of Computation
Volume 47, Number 175, July, 1986

                     Peter Shiu   Counting sums of two squares: the
                                  Meissel--Lehmer method . . . . . . . . . 351--360


Mathematics of Computation
Volume 67, Number 221, January, 1998

          Anders Björn and   
                    Hans Riesel   Factors of generalized Fermat numbers.
                                  With microfiche supplement . . . . . . . 441--446


Mathematics of Computation
Volume 73, Number 245, January, 2004

         Cornelius Greither and   
Xavier-François Roblot and   
              Brett A. Tangedal   The Brumer--Stark conjecture in some
                                  families of extensions of specified
                                  degree . . . . . . . . . . . . . . . . . 297--315


Mathematics of Computation
Volume 74, Number 252, October, 2005

          Anders Björn and   
                    Hans Riesel   Table errata to ``Factors of generalized
                                  Fermat numbers'' . . . . . . . . . . . . 2099--2099


Mathematics of Computation
Volume 79, Number 269, January, 2010

                   Gang Bao and   
                  Peijun Li and   
                      Haijun Wu   An adaptive edge element method with
                                  perfectly matched absorbing layers for
                                  wave scattering by biperiodic structures 1--34
                 Ziqing Xie and   
                   Zhimin Zhang   Uniform superconvergence analysis of the
                                  discontinuous Galerkin method for a
                                  singularly perturbed problem in $1$-D    35--45
         Christine Bernardi and   
              Monique Dauge and   
                     Yvon Maday   The lifting of polynomial traces
                                  revisited  . . . . . . . . . . . . . . . 47--69
              G. M. Coclite and   
                  S. Mishra and   
                  N. H. Risebro   Convergence of an Engquist--Osher scheme
                                  for a multi-dimensional triangular
                                  system of conservation laws  . . . . . . 71--94
    Jérôme Droniou   A numerical method for fractal
                                  conservation laws  . . . . . . . . . . . 95--124
     Aurélien Monteillet   Convergence of approximation schemes for
                                  nonlocal front propagation equations . . 125--146
               Yanping Chen and   
                       Tao Tang   Convergence analysis of the Jacobi
                                  spectral-collocation methods for
                                  Volterra integral equations with a
                                  weakly singular kernel . . . . . . . . . 147--167
      Christopher W. Curtis and   
              Bernard Deconinck   On the convergence of Hill's method  . . 169--187
              Jonas Haehnle and   
                  Andreas Prohl   Approximation of nonlinear wave
                                  equations with nonstandard anisotropic
                                  growth conditions  . . . . . . . . . . . 189--208
        Aurélien Alfonsi   High order discretization schemes for
                                  the CIR process: Application to affine
                                  term structure and Heston models . . . . 209--237
                N. S. Hoang and   
                     A. G. Ramm   Dynamical systems method for solving
                                  nonlinear equations with monotone
                                  operators  . . . . . . . . . . . . . . . 239--258
                  Xiaoming Wang   Approximation of stationary statistical
                                  properties of dissipative dynamical
                                  systems: Time discretization . . . . . . 259--280
                Othmar Koch and   
         Roswitha März and   
            Dirk Praetorius and   
            Ewa Weinmüller   Collocation methods for index $1$ DAEs
                                  with a singularity of the first kind . . 281--304
              Gasper Jaklic and   
               Jernej Kozak and   
             Marjeta Krajnc and   
                Vito Vitrih and   
                     Emil Zagar   On interpolation by planar cubic $G^2$
                                  Pythagorean-hodograph spline curves  . . 305--326
             G. Mastroianni and   
                 I. Notarangelo   A Lagrange-type projector on the real
                                  line . . . . . . . . . . . . . . . . . . 327--352
                Heping Wang and   
               Sofiya Ostrovska   The norm estimates for the $q$-Bernstein
                                  operator in the case $q > 1$  . . . . . . 353--363
Guillermo López Lagomasino and   
            Domingo Pestana and   
José M. Rodríguez and   
              Dmitry Yakubovich   Computation of conformal representations
                                  of compact Riemann surfaces  . . . . . . 365--381
             Giedrius Alkauskas   The Minkowski question mark function:
                                  explicit series for the dyadic period
                                  function and moments . . . . . . . . . . 383--418
                    Ren-Cang Li   Sharpness in rates of convergence for
                                  the symmetric Lanczos method . . . . . . 419--435
              Dario A. Bini and   
             Beatrice Meini and   
                Federico Poloni   An effective matrix geometric mean
                                  satisfying the Ando--Li--Mathias
                                  properties . . . . . . . . . . . . . . . 437--452
             Benjamin A. Burton   Optimizing the double description method
                                  for normal surface enumeration . . . . . 453--484
             Keith Matthews and   
             John Robertson and   
                      Jim White   Midpoint criteria for solving Pell's
                                  equation using the nearest square
                                  continued fraction . . . . . . . . . . . 485--499
               Alina Ostafe and   
            Igor E. Shparlinski   On the degree growth in some polynomial
                                  dynamical systems and nonlinear
                                  pseudorandom number generators . . . . . 501--511
                Bartosz Zra\lek   A deterministic version of Pollard's
                                  $p-1$ algorithm  . . . . . . . . . . . . 513--533
           Nicolas Billerey and   
             Luis V. Dieulefait   Solving Fermat-type equations
                                  $x^5+y^5=dz^p$ . . . . . . . . . . . . . 535--544
                   K. Rubin and   
                  A. Silverberg   Choosing the correct elliptic curve in
                                  the CM method  . . . . . . . . . . . . . 545--561
                   Patrick Corn   Tate--Shafarevich groups and $K3$
                                  surfaces . . . . . . . . . . . . . . . . 563--581
             Oliver Schirokauer   The number field sieve for integers of
                                  low weight . . . . . . . . . . . . . . . 583--602
                 A. Bremner and   
         Jean-Joël Delorme   On equal sums of ninth powers  . . . . . 603--612
                   Ernst Hairer   Book review: \em Numerical methods for
                                  evolutionary differential equations  . . 613--614
                I. P. Gavrilyuk   Book review: \em Introduction to
                                  interval analysis  . . . . . . . . . . . 615--616
                I. P. Gavrilyuk   Book review: \em Lagrange multiplier
                                  approach to variational problems and
                                  applications . . . . . . . . . . . . . . 617--618

Mathematics of Computation
Volume 79, Number 270, April, 2010

                 J. Connors and   
                      W. Layton   On the accuracy of the finite element
                                  method plus time relaxation  . . . . . . 619--648
                  R. Eymard and   
           T. Gallouët and   
                  R. Herbin and   
            J. C. Latché   A convergent finite element-finite
                                  volume scheme for the compressible
                                  Stokes problem. Part II: the isentropic
                                  case . . . . . . . . . . . . . . . . . . 649--675
             Peter K. Moore and   
               Marina Rangelova   A posteriori error estimation for
                                  $hp$-adaptivity for fourth-order
                                  equations  . . . . . . . . . . . . . . . 677--705
                      Mo Mu and   
                   Xiaohong Zhu   Decoupled schemes for a non-stationary
                                  mixed Stokes--Darcy model  . . . . . . . 707--731
            Howard C. Elman and   
         Darran G. Furnival and   
            Catherine E. Powell   $H({\rm div})$ preconditioning for a
                                  mixed finite element formulation of the
                                  diffusion problem with random data . . . 733--760
          Andrew Christlieb and   
               Benjamin Ong and   
                   Jing-Mei Qiu   Integral deferred correction methods
                                  constructed with high order Runge--Kutta
                                  integrators  . . . . . . . . . . . . . . 761--783
            Etienne Emmrich and   
           Mechthild Thalhammer   Stiffly accurate Runge--Kutta methods
                                  for nonlinear evolution problems
                                  governed by a monotone operator  . . . . 785--806
                   Li-Lian Wang   Analysis of spectral approximations
                                  using prolate spheroidal wave functions  807--827
             Shuhuang Xiang and   
                   Haiyong Wang   Fast integration of highly oscillatory
                                  integrals with exotic oscillators  . . . 829--844
             D. S. Lubinsky and   
                        A. Sidi   Positive interpolatory quadrature rules
                                  generated by some biorthogonal
                                  polynomials  . . . . . . . . . . . . . . 845--855
                      H. Monien   Gaussian quadrature for sums: a rapidly
                                  convergent summation scheme  . . . . . . 857--869
              Folkmar Bornemann   On the numerical evaluation of Fredholm
                                  determinants . . . . . . . . . . . . . . 871--915
                        Bin Han   The structure of balanced multivariate
                                  biorthogonal multiwavelets and dual
                                  multiframelets . . . . . . . . . . . . . 917--951
                  F. Y. Kuo and   
                I. H. Sloan and   
          G. W. Wasilkowski and   
                H. Wozniakowski   On decompositions of multivariate
                                  functions  . . . . . . . . . . . . . . . 953--966
         Stefano Capparelli and   
            Alberto Del Fra and   
                   Carlo Sci\`o   On the span of polynomials with integer
                                  coefficients . . . . . . . . . . . . . . 967--981
    Grzegorz W. Wasilkowski and   
            Henryk Wozniakowski   On the exponent of discrepancies . . . . 983--992
                 Josef Dick and   
                  Peter Kritzer   Duality theory and propagation rules for
                                  generalized digital nets . . . . . . . . 993--1017
                  Ibrahim Kirat   Disk-like tiles and self-affine curves
                                  with noncollinear digits . . . . . . . . 1019--1045
             Chang Heon Kim and   
                   Ja Kyung Koo   Generators of function fields of the
                                  modular curves $X_1(5)$ and $X_1(6)$ . . 1047--1066
                   T. Recio and   
               J. R. Sendra and   
               L. F. Tabera and   
                   C. Villarino   Generalizing circles over algebraic
                                  extensions . . . . . . . . . . . . . . . 1067--1089
                    Carlos Rito   On equations of double planes with $p_g
                                  = q = 1$ . . . . . . . . . . . . . . . . 1091--1108
                   Qi Cheng and   
              Xianmeng Meng and   
                   Celi Sun and   
                    Jiazhe Chen   Bounding the sum of square roots via
                                  lattice reduction  . . . . . . . . . . . 1109--1122
            Byeong Moon Kim and   
               Ji Young Kim and   
                  Poo-Sung Park   The fifteen theorem for universal
                                  Hermitian lattices over imaginary
                                  quadratic fields . . . . . . . . . . . . 1123--1144
            Luis Dieulefait and   
           Lucio Guerberoff and   
                  Ariel Pacetti   Proving modularity for a given elliptic
                                  curve over an imaginary quadratic field  1145--1170
             Siguna Müller   On the existence and non-existence of
                                  elliptic pseudoprimes  . . . . . . . . . 1171--1190
                  Romain Cosset   Factorization with genus $2$ curves  . . 1191--1208
              Jaap Korevaar and   
                Herman te Riele   Average prime-pair counting formula  . . 1209--1229
                  Gregor Kemper   Book review: \em A computational
                                  introduction to number theory and
                                  algebra  . . . . . . . . . . . . . . . . 1231--1232

Mathematics of Computation
Volume 79, Number 271, July, 2010

                Alan Demlow and   
         Charalambos Makridakis   Sharply local pointwise a posteriori
                                  error estimates for parabolic problems   1233--1262
             Sören Bartels   Numerical analysis of a finite element
                                  scheme for the approximation of harmonic
                                  maps into surfaces . . . . . . . . . . . 1263--1301
       Daniele A. Di Pietro and   
                  Alexandre Ern   Discrete functional analysis tools for
                                  Discontinuous Galerkin methods with
                                  application to the incompressible
                                  Navier--Stokes equations . . . . . . . . 1303--1330
          Bernardo Cockburn and   
    Jayadeep Gopalakrishnan and   
           Johnny Guzmán   A new elasticity element made for
                                  enforcing weak stress symmetry . . . . . 1331--1349
          Bernardo Cockburn and   
    Jayadeep Gopalakrishnan and   
         Francisco-Javier Sayas   A projection-based error analysis of HDG
                                  methods  . . . . . . . . . . . . . . . . 1351--1367
          Gabriel N. Gatica and   
              Norbert Heuer and   
         Francisco-Javier Sayas   A direct coupling of local discontinuous
                                  Galerkin and boundary element methods    1369--1394
         Olivier Bokanowski and   
           Nicolas Forcadel and   
                  Hasnaa Zidani   $L^1$-error estimates for numerical
                                  approximations of
                                  Hamilton--Jacobi--Bellman equations in
                                  dimension $1$  . . . . . . . . . . . . . 1395--1426
           Manuel J. Castro and   
              Alberto Pardo and   
        Carlos Parés and   
                     E. F. Toro   On some fast well-balanced first order
                                  solvers for nonconservative systems  . . 1427--1472
                 Zhen-Huan Teng   Error bound between monotone difference
                                  schemes and their modified equations . . 1473--1491
Frédéric Coquel and   
          Quang Long Nguyen and   
               Marie Postel and   
                 Quang Huy Tran   Entropy-satisfying relaxation method
                                  with large time-steps for Euler IBVPs    1493--1533
                 A. Ghorbel and   
                     R. Monneau   Well-posedness and numerical analysis of
                                  a one-dimensional non-local transport
                                  equation modelling dislocations dynamics 1535--1564
     Jan Bouwe van den Berg and   
      Jean-Philippe Lessard and   
          Konstantin Mischaikow   Global smooth solution curves using
                                  rigorous branch following  . . . . . . . 1565--1584
              Veerle Ledoux and   
         Simon J. A. Malham and   
             Vera Thümmler   Grassmannian spectral shooting . . . . . 1585--1619
                 Huiyuan Li and   
                       Jie Shen   Optimal error estimates in
                                  Jacobi-weighted Sobolev spaces for
                                  polynomial approximations on the
                                  triangle . . . . . . . . . . . . . . . . 1621--1646
              H. N. Mhaskar and   
            F. J. Narcowich and   
                 J. Prestin and   
                     J. D. Ward   ${L}^p$ Bernstein estimates and
                                  approximation by spherical basis
                                  functions  . . . . . . . . . . . . . . . 1647--1679
                     Avram Sidi   Asymptotic analysis of a generalized
                                  Richardson extrapolation process on
                                  linear sequences . . . . . . . . . . . . 1681--1695
         Stamatis Koumandos and   
               Martin Lamprecht   Some completely monotonic functions of
                                  positive order . . . . . . . . . . . . . 1697--1707
               Olivier Espinosa   On the evaluation of Matsubara sums  . . 1709--1725
         Dmitrii Kouznetsov and   
               Henryk Trappmann   Portrait of the four regular
                                  super-exponentials to base $\sqrt 2$ . . 1727--1756
               Habib Ammari and   
              Elena Beretta and   
             Elisa Francini and   
              Hyeonbae Kang and   
                   Mikyoung Lim   Optimization algorithm for
                                  reconstructing interface changes of a
                                  conductivity inclusion from modal
                                  measurements . . . . . . . . . . . . . . 1757--1777
         Pedro Berrizbeitia and   
                    Boris Iskra   Gaussian Mersenne and Eisenstein
                                  Mersenne primes  . . . . . . . . . . . . 1779--1791
        Peter L. Montgomery and   
                Sangil Nahm and   
        Samuel S. Wagstaff, Jr.   The period of the Bell numbers modulo a
                                  prime  . . . . . . . . . . . . . . . . . 1793--1800
           Vahid Dabbaghian and   
                  John D. Dixon   Computing matrix representations . . . . 1801--1810
                  Avner Ash and   
           Paul E. Gunnells and   
                 Mark McConnell   Cohomology of congruence subgroups of
                                  ${SL}_4(\mathbb {Z})$. III . . . . . . . 1811--1831
               Michael E. Zieve   $p^k$-torsion of genus two curves over
                                  $\mathbb {F}_{p^m}$  . . . . . . . . . . 1833--1838
               D. H. Bailey and   
              J. M. Borwein and   
                 R. E. Crandall   Advances in the theory of box integrals  1839--1866
                 J. L. Nazareth   Book review: \em Introduction to
                                  derivative-free optimization . . . . . . 1867--1869

Mathematics of Computation
Volume 79, Number 272, October, 2010

               J. M. Melenk and   
                      S. Sauter   Convergence analysis for finite element
                                  discretizations of the Helmholtz
                                  equation with Dirichlet-to-Neumann
                                  boundary conditions  . . . . . . . . . . 1871--1914
                  C.-C. Chu and   
               I. G. Graham and   
                      T.-Y. Hou   A new multiscale finite element method
                                  for high-contrast elliptic interface
                                  problems . . . . . . . . . . . . . . . . 1915--1955
       Lubomír Banas and   
                  Andreas Prohl   Convergent finite element discretization
                                  of the multi-fluid nonstationary
                                  incompressible magnetohydrodynamics
                                  equations  . . . . . . . . . . . . . . . 1957--1999
         Martin Vohralík   Unified primal formulation-based a
                                  priori and a posteriori error analysis
                                  of mixed finite element methods  . . . . 2001--2032
          Dylan M. Copeland and   
    Jayadeep Gopalakrishnan and   
                       Minah Oh   Multigrid in a weighted space arising
                                  from axisymmetric electromagnetics . . . 2033--2058
                    Qiya Hu and   
                    Shi Shu and   
                   Junxian Wang   Nonoverlapping domain decomposition
                                  methods with a simple coarse space for
                                  elliptic problems  . . . . . . . . . . . 2059--2078
           James H. Bramble and   
          Joseph E. Pasciak and   
                 Dimitar Trenev   Analysis of a finite PML approximation
                                  to the three dimensional elastic wave
                                  scattering problem . . . . . . . . . . . 2079--2101
José L. López and   
Ester Pérez Sinusía   Two-point Taylor expansions and
                                  one-dimensional boundary value problems  2103--2115
             Benjamin Stamm and   
               Thomas P. Wihler   $hp$-Optimal discontinuous Galerkin
                                  methods for linear elliptic problems . . 2117--2133
   Konstantinos Chrysafinos and   
             Noel J. Walkington   Discontinuous Galerkin approximations of
                                  the Stokes and Navier--Stokes equations  2135--2167
                Thirupathi Gudi   A new error analysis for discontinuous
                                  finite element methods for linear
                                  elliptic problems  . . . . . . . . . . . 2169--2189
                     Qinian Jin   On a class of frozen regularized
                                  Gauss--Newton methods for nonlinear
                                  inverse problems . . . . . . . . . . . . 2191--2211
               Xianjin Chen and   
                   Jianxin Zhou   A local min-max-orthogonal method for
                                  finding multiple solutions to
                                  noncooperative elliptic systems  . . . . 2213--2236
                 Guo Ben-yu and   
                    Jia Hong-li   Spectral method on quadrilaterals  . . . 2237--2264
               George Kvernadze   Approximation of the discontinuities of
                                  a function by its classical orthogonal
                                  polynomial Fourier coefficients  . . . . 2265--2285
A. López García and   
                     E. B. Saff   Asymptotics of greedy energy points  . . 2287--2316
                    Yingquan Wu   More on solving systems of power
                                  equations  . . . . . . . . . . . . . . . 2317--2332
                Terence Tao and   
                         Van Vu   Smooth analysis of the condition number
                                  and the least singular value . . . . . . 2333--2352
                Bartosz Zra\lek   Using partial smoothness of $p - 1$ for
                                  factoring polynomials modulo $p$ . . . . 2353--2359
                   David Harvey   A multimodular algorithm for computing
                                  Bernoulli numbers  . . . . . . . . . . . 2361--2370
                  Houria Baaziz   Equations for the modular curve $X_1(N)$
                                  and models of elliptic curves with
                                  torsion points . . . . . . . . . . . . . 2371--2386
                       Qiang Wu   The smallest Perron numbers  . . . . . . 2387--2394
            Yannick Saouter and   
               Patrick Demichel   A sharp region where $\pi(x) -
                                  \hbox{li}(x)$ is positive  . . . . . . . 2395--2405
                 Volker Ziegler   On a family of Thue equations of degree
                                  $16$ . . . . . . . . . . . . . . . . . . 2407--2429
        Thotsaphon Thongjunthug   Computing a lower bound for the
                                  canonical height on elliptic curves over
                                  number fields  . . . . . . . . . . . . . 2431--2449
            Graeme L. Cohen and   
                Ronald M. Sorli   Odd harmonic numbers exceed $10^{24}$    2451--2460


Mathematics of Computation
Volume 80, Number 273, January, 2011

                Alan Demlow and   
       Johnny Guzmán and   
               Alfred H. Schatz   Local energy estimates for the finite
                                  element method on sharply varying grids  1--9
         Alejandro Allendes and   
     Gabriel R. Barrenechea and   
     Erwin Hernández and   
Frédéric Valentin   A two-level enriched finite element
                                  method for a mixed problem . . . . . . . 11--41
              Salim Meddahi and   
     Francisco-Javier Sayas and   
         Virginia Selgás   Nonsymmetric coupling of BEM and mixed
                                  FEM on polyhedral interfaces . . . . . . 43--68
             Ralf Kornhuber and   
                   Qingsong Zou   Efficient and reliable hierarchical
                                  error estimates for the discretization
                                  error of elliptic obstacle problems  . . 69--88
               Arnaud Debussche   Weak approximation of stochastic partial
                                  differential equations: the nonlinear
                                  case . . . . . . . . . . . . . . . . . . 89--117
              Huo-Yuan Duan and   
                Roger C. E. Tan   On the Poincaré--Friedrichs inequality
                                  for piecewise $H^1$ functions in
                                  anisotropic discontinuous Galerkin
                                  finite element methods . . . . . . . . . 119--140
             Gabriel Acosta and   
                Thomas Apel and   
    Ricardo G. Durán and   
              Ariel L. Lombardi   Error estimates for Raviart--Thomas
                                  interpolation of any order on
                                  anisotropic tetrahedra . . . . . . . . . 141--163
Jean-François Coulombel and   
                 Antoine Gloria   Semigroup stability of finite difference
                                  schemes for multidimensional hyperbolic
                                  initial-boundary value problems  . . . . 165--203
           Nicolas Condette and   
           Christof Melcher and   
                Endre Süli   Spectral approximation of
                                  pattern-forming nonlinear evolution
                                  equations with double-well potentials of
                                  quadratic growth . . . . . . . . . . . . 205--223
                     Ben Adcock   Convergence acceleration of modified
                                  Fourier series in one or more dimensions 225--261
      Daniela Schräder and   
                Holger Wendland   A high-order, analytically
                                  divergence-free discretization method
                                  for Darcy's problem  . . . . . . . . . . 263--277
              Arieh Iserles and   
                    David Levin   Asymptotic expansion and quadrature of
                                  composite highly oscillatory integrals   279--296
            Velleda Baldoni and   
             Nicole Berline and   
          Jesus A. De Loera and   
        Matthias Köppe and   
               Mich\`ele Vergne   How to integrate a polynomial over a
                                  simplex  . . . . . . . . . . . . . . . . 297--325
             Ioannis K. Argyros   A semilocal convergence analysis for
                                  directional Newton methods . . . . . . . 327--343
     Jonathan D. Hauenstein and   
          Andrew J. Sommese and   
             Charles W. Wampler   Regeneration homotopies for solving
                                  systems of polynomials . . . . . . . . . 345--377
             Charles Knessl and   
                 Mark W. Coffey   An effective asymptotic formula for the
                                  Stieltjes constants  . . . . . . . . . . 379--386
                   David Harvey   Faster algorithms for the square root
                                  and reciprocal of power series . . . . . 387--394
                Shin Harase and   
           Makoto Matsumoto and   
                   Mutsuo Saito   Fast lattice reduction for
                                  $\mathbf{F}_2$-linear pseudorandom
                                  number generators  . . . . . . . . . . . 395--407
               Dominic Lanphier   Values of symmetric cube $L$-functions
                                  and Fourier coefficients of Siegel
                                  Eisenstein series of degree-3  . . . . . 409--428
               Florian Luca and   
                   Filip Najman   On the largest prime factor of $ x^2 - 1
                                  $  . . . . . . . . . . . . . . . . . . . 429--435
                Zhenxiang Zhang   Counting Carmichael numbers with small
                                  seeds  . . . . . . . . . . . . . . . . . 437--442
                     Claus Diem   On the discrete logarithm problem in
                                  class groups of curves . . . . . . . . . 443--475
           Andrew V. Sutherland   Structure computation and discrete
                                  logarithms in finite abelian $p$-groups  477--500
           Andrew V. Sutherland   Computing Hilbert class polynomials with
                                  the Chinese remainder theorem  . . . . . 501--538
       Amalia Pizarro-Madariaga   Lower bounds for the Artin conductor . . 539--561
                   J. Beers and   
                 D. Henshaw and   
               C. K. McCall and   
                S. B. Mulay and   
                    M. Spindler   Fundamentality of a cubic unit $u$ for
                                  $\mathbb{Z}[u]$  . . . . . . . . . . . . 563--578
               Daeyeol Jeon and   
             Chang Heon Kim and   
                    Yoonjin Lee   Families of elliptic curves over cubic
                                  number fields with prescribed torsion
                                  subgroups  . . . . . . . . . . . . . . . 579--591
                V. A. Bovdi and   
                 E. Jespers and   
                A. B. Konovalov   Torsion units in integral group rings of
                                  Janko simple groups  . . . . . . . . . . 593--615
              Matthias Beck and   
              Andrew van Herick   Enumeration of $4 \times 4$ magic
                                  squares  . . . . . . . . . . . . . . . . 617--621
                     Sid Graham   Book review: \em A higher-dimensional
                                  sieve method with procedures for
                                  computing sieve functions  . . . . . . . 623--624

Mathematics of Computation
Volume 80, Number 274, April, 2011

            Khamron Mekchay and   
                Pedro Morin and   
            Ricardo H. Nochetto   AFEM for the Laplace--Beltrami operator
                                  on graphs: Design and conditional
                                  contraction property . . . . . . . . . . 625--648
         Carsten Carstensen and   
                    Hella Rabus   An optimal adaptive mixed finite element
                                  method . . . . . . . . . . . . . . . . . 649--667
                 Shangyou Zhang   Divergence-free finite elements on
                                  tetrahedral grids for $k \ge 6$  . . . . 669--695
               Hagen Eichel and   
               Lutz Tobiska and   
                       Hehu Xie   Supercloseness and superconvergence of
                                  stabilized low-order finite element
                                  discretizations of the Stokes Problem    697--722
          Bernardo Cockburn and   
    Jayadeep Gopalakrishnan and   
          Ngoc Cuong Nguyen and   
              Jaume Peraire and   
         Francisco-Javier Sayas   Analysis of HDG methods for Stokes flow  723--760
         Sören Bartels and   
       Rüdiger Müller   Quasi-optimal and robust a posteriori
                                  error estimates in $L^\infty (L^2)$ for
                                  the approximation of Allen--Cahn
                                  equations past singularities . . . . . . 761--780
                 V. Girault and   
F. Guillén-González   Mixed formulation, approximation and
                                  decoupling algorithm for a penalized
                                  nematic liquid crystals model  . . . . . 781--819
               Helge Holden and   
         Kenneth H. Karlsen and   
        Nils Henrik Risebro and   
                    Terence Tao   Operator splitting for the KdV equation  821--846
          G. Berikelashvili and   
                O. Jokhadze and   
         S. Kharibegashvili and   
                B. Midodashvili   Finite difference solution of a
                                  nonlinear Klein--Gordon equation with an
                                  external source  . . . . . . . . . . . . 847--862
             W. Hundsdorfer and   
                  M. N. Spijker   Boundedness and strong stability of
                                  Runge--Kutta methods . . . . . . . . . . 863--886
             Flavia Lanzara and   
            Vladimir Maz'ya and   
                Gunther Schmidt   On the fast computation of high
                                  dimensional volume potentials  . . . . . 887--904
                 Josef Dick and   
            Gerhard Larcher and   
   Friedrich Pillichshammer and   
          Henryk Wo\'zniakowski   Exponential convergence and tractability
                                  of multivariate integration for Korobov
                                  spaces . . . . . . . . . . . . . . . . . 905--930
        Bernhard Beckermann and   
           Valeriy Kalyagin and   
               Ana C. Matos and   
               Franck Wielonsky   How well does the Hermite--Padé
                                  approximation smooth the Gibbs
                                  phenomenon?  . . . . . . . . . . . . . . 931--958
                    S. Amat and   
               K. Dadourian and   
                    J. Liandrat   On a nonlinear subdivision scheme
                                  avoiding Gibbs oscillations and
                                  converging towards $C^{s}$ functions
                                  with $s > 1$  . . . . . . . . . . . . . . 959--971
                   Deter de Wet   Subsequence convergence in subdivision   973--994
              J. Arias de Reyna   High precision computation of Riemann's
                                  zeta function by the Riemann-Siegel
                                  formula, I . . . . . . . . . . . . . . . 995--1009
              Cristinel Mortici   Sharp bounds of the Landau constants . . 1011--1018
             Markus Hegland and   
            Robert S. Anderssen   Dilational interpolatory inequalities    1019--1036
            Jorge F. Sawyer and   
             Clifford A. Reiter   Perfect parallelepipeds exist  . . . . . 1037--1040
                    James McKee   Computing totally positive algebraic
                                  integers of small trace  . . . . . . . . 1041--1052
            Igor E. Shparlinski   On the average distribution of
                                  pseudorandom numbers generated by
                                  nonlinear permutations . . . . . . . . . 1053--1061
               James Currie and   
                Narad Rampersad   A proof of Dejean's conjecture . . . . . 1063--1070
          Matthew Greenberg and   
                    John Voight   Computing systems of Hecke eigenvalues
                                  associated to Hilbert modular forms  . . 1071--1092
                   Ihsen Yengui   Stably free modules over $\mathbf{R}[X]$
                                  of rank $> \dim\mathbf{R}$ are free . . . 1093--1098
              Omer Kucuksakalli   Class numbers of ray class fields of
                                  imaginary quadratic fields . . . . . . . 1099--1122
         Andries E. Brouwer and   
                    Jan Draisma   Equivariant Gröbner bases and the
                                  Gaussian two-factor model  . . . . . . . 1123--1133
             Martin Kreuzer and   
                  Henk Poulisse   Subideal border bases  . . . . . . . . . 1135--1154
     Sándor Szabó   Verifying a conjecture of L. Rédei for $p
                                  = 13$  . . . . . . . . . . . . . . . . . 1155--1162
             J. S. Friedman and   
               J. Jorgenson and   
                      J. Kramer   An effective bound for the Huber
                                  constant for cofinite Fuchsian groups    1163--1196
           Alexander Hulpke and   
              Petteri Kaski and   
Patric R. J. Östergård   The number of Latin squares of order
                                  $11$ . . . . . . . . . . . . . . . . . . 1197--1219
                Yves Gallot and   
               Pieter Moree and   
                  Wadim Zudilin   The Erd\Hos--Moser equation $1^k + 2^k +
                                  \dots + (m-1)^k = m^k$ revisited using
                                  continued fractions  . . . . . . . . . . 1221--1237

Mathematics of Computation
Volume 80, Number 275, July, 2011

    Ricardo G. Durán and   
   Rodolfo Rodríguez and   
                 Frank Sanhueza   Numerical analysis of a finite element
                                  method to compute the vibration modes of
                                  a Reissner--Mindlin laminated plate  . . 1239--1264
               Christoph Ortner   A priori and a posteriori analysis of
                                  the quasinonlocal quasicontinuum method
                                  in $1$D  . . . . . . . . . . . . . . . . 1265--1285
                 Xiaozhe Hu and   
                Xiaoliang Cheng   Acceleration of a two-grid method for
                                  eigenvalue problems  . . . . . . . . . . 1287--1301
              Xiaobing Feng and   
                 Michael Neilan   Discontinuous finite element methods for
                                  a bi-wave equation modeling $d$-wave
                                  superconductors  . . . . . . . . . . . . 1303--1333
            Slimane Adjerid and   
                Thomas Weinhart   Discontinuous Galerkin error estimation
                                  for linear symmetrizable hyperbolic
                                  systems  . . . . . . . . . . . . . . . . 1335--1367
                  Yumin Lin and   
                Xianjuan Li and   
                     Chuanju Xu   Finite difference/spectral
                                  approximations for the fractional cable
                                  equation . . . . . . . . . . . . . . . . 1369--1396
                  M. Ganesh and   
               Q. T. Le Gia and   
                    I. H. Sloan   A pseudospectral quadrature method for
                                  Navier--Stokes equations on rotating
                                  spheres  . . . . . . . . . . . . . . . . 1397--1430
  István Gyöngy and   
                 Nicolai Krylov   Accelerated finite difference schemes
                                  for second order degenerate elliptic and
                                  parabolic problems in the whole space    1431--1458
         Kenneth H. Karlsen and   
               Trygve K. Karper   Convergence of a mixed method for a
                                  semi-stationary compressible Stokes
                                  system . . . . . . . . . . . . . . . . . 1459--1498
                  Rob Stevenson   Divergence-free wavelet bases on the
                                  hypercube: Free-slip boundary
                                  conditions, and applications for solving
                                  the instationary Stokes equations  . . . 1499--1523
              Rong-Qing Jia and   
                       Wei Zhao   Riesz bases of wavelets and applications
                                  to numerical solutions of elliptic
                                  equations  . . . . . . . . . . . . . . . 1525--1556
            Akil C. Narayan and   
               Jan S. Hesthaven   A generalization of the Wiener rational
                                  basis functions on infinite intervals:
                                  Part I --- derivation and properties . . 1557--1583
              F. R. de Hoog and   
            R. S. Anderssen and   
                    M. A. Lukas   Differentiation of matrix functionals
                                  using triangular factorization . . . . . 1585--1600
               Chi-Kwong Li and   
              Yiu-Tung Poon and   
 Thomas Schulte-Herbrüggen   Least-squares approximation by elements
                                  from matrix orbits achieved by gradient
                                  flows on compact Lie groups  . . . . . . 1601--1621
                     L. Bos and   
                J.-P. Calvi and   
               N. Levenberg and   
               A. Sommariva and   
                    M. Vianello   Geometric weakly admissible meshes,
                                  discrete least squares approximations
                                  and approximate Fekete points  . . . . . 1623--1638
           K. A. Ariyawansa and   
                     Yuntao Zhu   A class of polynomial volumetric barrier
                                  decomposition algorithms for stochastic
                                  semidefinite programming . . . . . . . . 1639--1661
                     Avram Sidi   Asymptotic expansions of Legendre series
                                  coefficients for functions with interior
                                  and endpoint singularities . . . . . . . 1663--1684
             Franz Peherstorfer   Positive trigonometric quadrature
                                  formulas and quadrature on the unit
                                  circle . . . . . . . . . . . . . . . . . 1685--1701
           C. Boonyasiriwat and   
                K. Sikorski and   
                        C. Tsay   Circumscribed ellipsoid algorithm for
                                  fixed-point problems . . . . . . . . . . 1703--1723
               Toshio Fukushima   Precise and fast computation of the
                                  general complete elliptic integral of
                                  the second kind  . . . . . . . . . . . . 1725--1743
                  Sheehan Olver   Computing the Hilbert transform and its
                                  inverse  . . . . . . . . . . . . . . . . 1745--1767
           H. M. Srivastava and   
             Jian-Rong Zhou and   
                  Zhi-Gang Wang   Asymptotic distributions of the zeros of
                                  certain classes of hypergeometric
                                  functions and polynomials  . . . . . . . 1769--1784
                Ghaith A. Hiary   An amortized-complexity method to
                                  compute the Riemann zeta function  . . . 1785--1796
                 Tsz-Wo Sze and   
with an Appendix by Lawrence C. Washington   On taking square roots without quadratic
                                  nonresidues over finite fields . . . . . 1797--1811
   Stéphane R. Louboutin   Upper bounds for residues of Dedekind
                                  zeta functions and class numbers of
                                  cubic and quartic number fields  . . . . 1813--1822
            Régis Dupont   Fast evaluation of modular functions
                                  using Newton iterations and the AGM  . . 1823--1847
                    Hao Pan and   
                      Wei Zhang   On the integers of the form $p^2 + b^2 +
                                  2^n$ and $b_1^2 + b_2^2 + 2^{n^2}$ . . . 1849--1864
          Anders Björn and   
                    Hans Riesel   Table errata 2 to ``Factors of
                                  generalized Fermat numbers'' . . . . . . 1865--1866
                I. P. Gavrilyuk   Book review: \em Fast multipole boundary
                                  element method . . . . . . . . . . . . . 1867--1869

Mathematics of Computation
Volume 80, Number 276, October, 2011

                  Bin Zheng and   
                    Qiya Hu and   
                     Jinchao Xu   A nonconforming finite element method
                                  for fourth order curl equations in
                                  $\mathbb{R}^{3}$ . . . . . . . . . . . . 1871--1886
              Andrea Bonito and   
              Jean-Luc Guermond   Approximation of the eigenvalue problem
                                  for the time harmonic Maxwell system by
                                  continuous Lagrange finite elements  . . 1887--1910
          Gabriel N. Gatica and   
     Ricardo Oyarzúa and   
         Francisco-Javier Sayas   Analysis of fully-mixed finite element
                                  methods for the Stokes--Darcy coupled
                                  problem  . . . . . . . . . . . . . . . . 1911--1948
             Gabriel Acosta and   
      María G. Armentano   Finite element approximations in a
                                  non-Lipschitz domain: Part II  . . . . . 1949--1978
         Susanne C. Brenner and   
            Thirupathi Gudi and   
             Michael Neilan and   
                   Li-yeng Sung   $\mathcal{C}^{0}$ penalty methods for
                                  the fully nonlinear Monge--Amp\`ere
                                  equation . . . . . . . . . . . . . . . . 1979--1995
              Xiaobing Feng and   
                      Haijun Wu   $hp$-Discontinuous Galerkin methods for
                                  the Helmholtz equation with large wave
                                  number . . . . . . . . . . . . . . . . . 1997--2024
              Carlos Castro and   
                 Enrique Zuazua   Flux identification for $1$-$\mathbf d$
                                  scalar conservation laws in the presence
                                  of shocks  . . . . . . . . . . . . . . . 2025--2070
              Qingshan Chen and   
                   Zhen Qin and   
                    Roger Temam   Treatment of incompatible initial and
                                  boundary data for parabolic equations in
                                  higher dimension . . . . . . . . . . . . 2071--2096
                   R. Donat and   
                I. Higueras and   
      A. Martínez-Gavara   On stability issues for IMEX schemes
                                  applied to $1$D scalar hyperbolic
                                  equations with stiff reaction terms  . . 2097--2126
               Yuji Nakatsukasa   Gerschgorin's theorem for generalized
                                  eigenvalue problems in the Euclidean
                                  metric . . . . . . . . . . . . . . . . . 2127--2142
            Barry H. Dayton and   
               Tien-Yien Li and   
                 Zhonggang Zeng   Multiple zeros of nonlinear systems  . . 2143--2168
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   A polynomial interpolation process at
                                  quasi-Chebyshev nodes with the FFT . . . 2169--2184
             Georg Muntingh and   
                Michael Floater   Divided differences of implicit
                                  functions  . . . . . . . . . . . . . . . 2185--2195
             Charles Knessl and   
                 Mark W. Coffey   An asymptotic form for the Stieltjes
                                  constants $\gamma_{k}(a)$ and for a sum
                                  $S_{\gamma}(n)$ appearing under the Li
                                  criterion  . . . . . . . . . . . . . . . 2197--2217
                       A. Bayad   Fourier expansions for
                                  Apostol--Bernoulli, Apostol--Euler and
                                  Apostol--Genocchi polynomials  . . . . . 2219--2221
                   Wenchang Chu   Dougall's bilateral $_2H_2$-series and
                                  Ramanujan-like $\pi$-formulae  . . . . . 2223--2251
            Gautami Bhowmik and   
         Immanuel Halupczok and   
   Jan-Christoph Schlage-Puchta   Zero-sum free sets with small sum-set    2253--2258
               Timothy Trudgian   Improvements to Turing's method  . . . . 2259--2279
            Yannick Saouter and   
             Xavier Gourdon and   
               Patrick Demichel   An improved lower bound for the de
                                  Bruijn--Newman constant  . . . . . . . . 2281--2287
                Jean-Paul Cerri   Some generalized Euclidean and $2$-stage
                                  Euclidean number fields that are not
                                  norm-Euclidean . . . . . . . . . . . . . 2289--2298
           Borislav Mezhericher   Evaluating Whittaker functions and Maass
                                  forms for ${\rm SL}(3,\mathbb{Z})$ . . . 2299--2313
José María Grau and   
 Antonio M. Oller-Marcén   An $\tilde{O}(\log^{2}(N))$ time
                                  primality test for generalized Cullen
                                  numbers  . . . . . . . . . . . . . . . . 2315--2323
                  Felix Fontein   The infrastructure of a global field of
                                  arbitrary unit rank  . . . . . . . . . . 2325--2357
              Andrew Arnold and   
                Michael Monagan   Calculating cyclotomic polynomials . . . 2359--2379
           Douglas A. Stoll and   
               Patrick Demichel   The impact of $\zeta(s)$ complex zeros
                                  on $\pi(x)$ for $x < 10^{10^{13}}$  . . . 2381--2394
               Daeyeol Jeon and   
             Chang Heon Kim and   
                    Yoonjin Lee   Families of elliptic curves over quartic
                                  number fields with prescribed torsion
                                  subgroups  . . . . . . . . . . . . . . . 2395--2410
                Werner Bley and   
                 Henri Johnston   Computing generators of free modules
                                  over orders in group algebras II . . . . 2411--2434
               J. P. Buhler and   
                      D. Harvey   Irregular primes to 163 million  . . . . 2435--2444
             Giedrius Alkauskas   Addenda and corrigenda to ``The
                                  Minkowski question mark function:
                                  explicit series for the dyadic period
                                  function and moments'' . . . . . . . . . 2445--2454


Mathematics of Computation
Volume 81, Number 277, January, 2012

R. D. Lazarov P. Chatzipantelidis and   
               V. Thomée   Some error estimates for the lumped mass
                                  finite element method for a parabolic
                                  problem  . . . . . . . . . . . . . . . . 1--20
              Christian Kreuzer   Analysis of an adaptive Uzawa finite
                                  element method for the nonlinear Stokes
                                  problem  . . . . . . . . . . . . . . . . 21--55
            Maxim A. Olshanskii   Multigrid analysis for the time
                                  dependent Stokes problem . . . . . . . . 57--79
            Natalia Kopteva and   
                  Maria Pickett   A second-order overlapping Schwarz
                                  method for a $2$D singularly perturbed
                                  semilinear reaction-diffusion problem    81--105
            Brandon Chabaud and   
              Bernardo Cockburn   Uniform-in-time superconvergence of HDG
                                  methods for the heat equation  . . . . . 107--129
              Fatih Celiker and   
          Bernardo Cockburn and   
                         Ke Shi   A projection-based error analysis of HDG
                                  methods for Timoshenko beams . . . . . . 131--151
               Yingda Cheng and   
             Irene M. Gamba and   
                 Jennifer Proft   Positivity-preserving discontinuous
                                  Galerkin schemes for linear
                                  Vlasov--Boltzmann transport equations    153--190
J. V. Gutiérrez-Santacreu and   
              M. A. Rojas-Medar   Uniform-in-time error estimates for
                                  spectral Galerkin approximations of a
                                  mass diffusion model . . . . . . . . . . 191--218
         Orhan Mehmeto\uglu and   
                    Bojan Popov   Maximum principle and convergence of
                                  central schemes based on slope limiters  219--231
                Ren-Cang Li and   
                  William Kahan   A family of Anadromic numerical methods
                                  for matrix Riccati differential
                                  equations  . . . . . . . . . . . . . . . 233--265
          Petr N. Vabishchevich   On a new class of additive (splitting)
                                  operator-difference schemes  . . . . . . 267--276
            Dmitry Batenkov and   
                   Yosef Yomdin   Algebraic Fourier reconstruction of
                                  piecewise smooth functions . . . . . . . 277--318
            Michel Lenczner and   
     Gérard Montseny and   
                Youssef Yakoubi   Diffusive realizations for solutions of
                                  some operator equations: The
                                  one-dimensional case . . . . . . . . . . 319--344
            Chang-Ming Chen and   
                     F. Liu and   
                     V. Anh and   
                      I. Turner   Numerical methods for solving a
                                  two-dimensional variable-order anomalous
                                  subdiffusion equation  . . . . . . . . . 345--366
               Habib Ammari and   
              Hyeonbae Kang and   
               Mikyoung Lim and   
                    Habib Zribi   The generalized polarization tensors for
                                  resolved imaging. Part I: Shape
                                  reconstruction of a conductivity
                                  inclusion  . . . . . . . . . . . . . . . 367--386
             Marko Huhtanen and   
       Allan Perämäki   Numerical solution of the
                                  $\mathbb{R}$-linear Beltrami equation    387--397
              M. M. Martins and   
                  W. Yousif and   
                   J. L. Santos   A variant of the AOR method for
                                  augmented systems  . . . . . . . . . . . 399--417
             Stephan Dahlke and   
          Massimo Fornasier and   
                Thorsten Raasch   Multilevel preconditioning and adaptive
                                  sparse solution of inverse problems  . . 419--446
                     Jinyan Fan   The modified Levenberg--Marquardt method
                                  for nonlinear equations with cubic
                                  convergence  . . . . . . . . . . . . . . 447--466
                   Wenchang Chu   Analytical formulae for extended
                                  $_3F_2$-series of Watson--Whipple--Dixon
                                  with two extra integer parameters  . . . 467--479
      Andreas-Stephan Elsenhans   Rational points on diagonal quartic
                                  surfaces . . . . . . . . . . . . . . . . 481--492
       Gábor Ivanyos and   
            Marek Karpinski and   
        Lajos Rónyai and   
                   Nitin Saxena   Trading GRH for algebra: Algorithms for
                                  factoring polynomials and related
                                  structures . . . . . . . . . . . . . . . 493--531
            Jeoung-Hwan Ahn and   
                   Soun-Hi Kwon   The imaginary abelian number fields of
                                  $2$-power degrees with ideal class
                                  groups of exponent $\leq 2$  . . . . . . 533--554
              John W. Jones and   
              Rachel Wallington   Number fields with solvable Galois
                                  groups and small Galois root
                                  discriminants  . . . . . . . . . . . . . 555--567
Ján Karabá\vs and   
                   Roman Nedela   Archimedean maps of higher genera  . . . 569--583
             Yeow Meng Chee and   
                   San Ling and   
                    Yin Tan and   
                   Xiande Zhang   Universal cycles for minimum coverings
                                  of pairs by triples, with application to
                                  $2$-radius sequences . . . . . . . . . . 585--603
          Alice C. Niemeyer and   
              Tomasz Popiel and   
          Cheryl E. Praeger and   
\cSükrü Yalçìnkaya   On semiregular permutations of a finite
                                  set  . . . . . . . . . . . . . . . . . . 605--622

Mathematics of Computation
Volume 81, Number 278, April, 2012

             Liuqiang Zhong and   
                  Long Chen and   
                    Shi Shu and   
             Gabriel Wittum and   
                     Jinchao Xu   Convergence and optimality of adaptive
                                  edge finite element methods for
                                  time-harmonic Maxwell equations  . . . . 623--642
              S. C. Brenner and   
                     J. Cui and   
                     Z. Nan and   
                     L.-Y. Sung   Hodge decomposition for divergence-free
                                  vector fields and two-dimensional
                                  Maxwell's equations  . . . . . . . . . . 643--659
            Sebastian Franz and   
           R. Bruce Kellogg and   
                  Martin Stynes   Galerkin and streamline diffusion finite
                                  element methods on a Shishkin mesh for a
                                  convection-diffusion problem with corner
                                  singularities  . . . . . . . . . . . . . 661--685
                  Assyr Abdulle   Discontinuous Galerkin finite element
                                  heterogeneous multiscale method for
                                  elliptic problems with multiple scales   687--713
                 Cui Yanfen and   
                    Mao De-kang   Error self-canceling of a difference
                                  scheme maintaining two conservation laws
                                  for linear advection equation  . . . . . 715--741
                  A. Demlow and   
              D. Leykekhman and   
               A. H. Schatz and   
                  L. B. Wahlbin   Best approximation property in the
                                  $W^1_\infty$ norm for finite element
                                  methods on graded meshes . . . . . . . . 743--764
                 Alexey Chernov   Optimal convergence estimates for the
                                  trace of the polynomial $L^2$-projection
                                  operator on a simplex  . . . . . . . . . 765--787
               Albert Cohen and   
                   Nira Dyn and   
Frédéric Hecht and   
            Jean-Marie Mirebeau   Adaptive multiresolution analysis based
                                  on anisotropic triangulations  . . . . . 789--810
        Jean-Marie Mirebeau and   
                   Albert Cohen   Greedy bisection generates optimally
                                  adapted triangulations . . . . . . . . . 811--837
               Habib Ammari and   
              Hyeonbae Kang and   
                 Eunjoo Kim and   
                   June-Yub Lee   The generalized polarization tensors for
                                  resolved imaging. Part II: Shape and
                                  electromagnetic parameters
                                  reconstruction of an electromagnetic
                                  inclusion from multistatic measurements  839--860
               Haiyong Wang and   
                 Shuhuang Xiang   On the convergence rates of Legendre
                                  approximation  . . . . . . . . . . . . . 861--877
            Rida T. Farouki and   
         Carlotta Giannelli and   
                Carla Manni and   
             Alessandra Sestini   Design of rational rotation--minimizing
                                  rigid body motions by Hermite
                                  interpolation  . . . . . . . . . . . . . 879--903
       Jeffrey D. Blanchard and   
               Ilya A. Krishtal   Matricial filters and crystallographic
                                  composite dilation wavelets  . . . . . . 905--922
               Satoru Iwata and   
           Mizuyo Takamatsu and   
              Caren Tischendorf   Tractability index of hybrid equations
                                  for circuit simulation . . . . . . . . . 923--939
          Palle E. T. Jorgensen   Ergodic scales in fractal measures . . . 941--955
               Toshio Fukushima   Series expansions of symmetric elliptic
                                  integrals  . . . . . . . . . . . . . . . 957--990
           Iván Area and   
        Dimitar K. Dimitrov and   
              Eduardo Godoy and   
            Fernando R. Rafaeli   Inequalities for zeros of Jacobi
                                  polynomials via Obrechkoff's theorem . . 991--1004
         William Y. C. Chen and   
             Neil J. Y. Fan and   
              Jeffrey Y. T. Jia   The generating function for the
                                  Dirichlet series $L_m(s)$  . . . . . . . 1005--1023
                 D. Berkane and   
             O. Bordell\`es and   
               O. Ramaré   Explicit upper bounds for the remainder
                                  term in the divisor problem  . . . . . . 1025--1051
               Timothy Trudgian   An improved upper bound for the argument
                                  of the Riemann zeta-function on the
                                  critical line  . . . . . . . . . . . . . 1053--1061
            Wolfgang Keller and   
           Jacques Martinet and   
      Achill Schürmann and   
with an Appendix by Mathieu Dutour Sikiri\'c   On classifying Minkowskian sublattices   1063--1092
 Jorge Jiménez Urroz and   
               Florian Luca and   
            Igor E. Shparlinski   On the number of isogeny classes of
                                  pairing-friendly elliptic curves and
                                  statistics of MNT curves . . . . . . . . 1093--1110
                     Bas Heijne   The maximal rank of elliptic Delsarte
                                  surfaces . . . . . . . . . . . . . . . . 1111--1130
           Andrew V. Sutherland   Constructing elliptic curves over finite
                                  fields with prescribed torsion . . . . . 1131--1147
        V. G. Lopez Neumann and   
              Constantin Manoil   Explicit computations on the
                                  desingularized Kummer surface  . . . . . 1149--1161
                   Amir Hashemi   Efficient computation of
                                  Castelnuovo--Mumford regularity  . . . . 1163--1177
             David Loeffler and   
                Jared Weinstein   On the computation of local components
                                  of a newform . . . . . . . . . . . . . . 1179--1200
        Reinier Bröker and   
             Kristin Lauter and   
           Andrew V. Sutherland   Modular polynomials via isogeny
                                  volcanoes  . . . . . . . . . . . . . . . 1201--1231
                Terence Tao and   
           Ernest Croot III and   
                Harald Helfgott   Deterministic methods to find primes . . 1233--1246

Mathematics of Computation
Volume 81, Number 279, July, 2012

         Susanne C. Brenner and   
               Li-yeng Sung and   
                       Yi Zhang   Finite element methods for the
                                  displacement obstacle problem of clamped
                                  plates . . . . . . . . . . . . . . . . . 1247--1262
              Andrea Bonito and   
              Joseph E. Pasciak   Convergence analysis of variational and
                                  non-variational multigrid algorithms for
                                  the Laplace--Beltrami operator . . . . . 1263--1288
               L. Demkowicz and   
          J. Gopalakrishnan and   
               J. Schöberl   Polynomial extension operators. Part III 1289--1326
          Bernardo Cockburn and   
                Weifeng Qiu and   
                         Ke Shi   Conditions for superconvergence of HDG
                                  methods for second-order elliptic
                                  problems . . . . . . . . . . . . . . . . 1327--1353
          Bernardo Cockburn and   
                     Jintao Cui   An analysis of HDG methods for the
                                  vorticity-velocity-pressure formulation
                                  of the Stokes problem in three
                                  dimensions . . . . . . . . . . . . . . . 1355--1368
                 Bangti Jin and   
                     Xiliang Lu   Numerical identification of a Robin
                                  coefficient in parabolic problems  . . . 1369--1398
                 Yonghai Li and   
                    Shi Shu and   
                Yuesheng Xu and   
                   Qingsong Zou   Multilevel preconditioning for the
                                  finite volume method . . . . . . . . . . 1399--1428
           T. Gallouët and   
                 A. Larcher and   
            J. C. Latché   Convergence of a finite volume scheme
                                  for the convection-diffusion equation
                                  with $\mathrm{L}^{1}$ data . . . . . . . 1429--1454
            Laurent Demanet and   
                    Lexing Ying   Fast wave computation via Fourier
                                  integral operators . . . . . . . . . . . 1455--1486
             Xiao-Wen Chang and   
       Damien Stehlé and   
                 Gilles Villard   Perturbation Analysis of the $QR$ factor
                                  $R$ in the context of LLL lattice basis
                                  reduction  . . . . . . . . . . . . . . . 1487--1511
              Xinzhen Zhang and   
                   Liqun Qi and   
                       Yinyu Ye   The cubic spherical optimization
                                  problems . . . . . . . . . . . . . . . . 1513--1525
           Claude Brezinski and   
                      Yi He and   
               Xing-Biao Hu and   
      Michela Redivo-Zaglia and   
                  Jian-Qing Sun   Multistep $\epsilon$--algorithm, Shanks'
                                  transformation, and the Lotka--Volterra
                                  system by Hirota's method  . . . . . . . 1527--1549
         Georg Berschneider and   
        Wolfgang zu Castell and   
         Stefan J. Schrödl   Function spaces for conditionally
                                  positive definite operator-valued
                                  kernels  . . . . . . . . . . . . . . . . 1551--1569
           Michael Filaseta and   
         Michael J. Mossinghoff   The distance to an irreducible
                                  polynomial, II . . . . . . . . . . . . . 1571--1585
                   Louis Leroux   Computing the torsion points of a
                                  variety defined by lacunary polynomials  1587--1607
Aureliano M. Robles-Pérez and   
     José Carlos Rosales   The Frobenius problem for numerical
                                  semigroups with embedding dimension
                                  equal to three . . . . . . . . . . . . . 1609--1617
               Markus Kirschmer   A normal form for definite quadratic
                                  forms over $\mathbb{F}_{q}[t]$ . . . . . 1619--1634
               T. A. Fisher and   
                    G. F. Sills   Local solubility and height bounds for
                                  coverings of elliptic curves . . . . . . 1635--1662
                   San Ling and   
              Enver Ozdemir and   
                  Chaoping Xing   Constructing irreducible polynomials
                                  over finite fields . . . . . . . . . . . 1663--1668
          Kevin A. Broughan and   
                A. Ross Barnett   Gram lines and the average of the real
                                  part of the Riemann zeta function  . . . 1669--1679
                    Werner Bley   Numerical evidence for the equivariant
                                  Birch and Swinnerton-Dyer conjecture
                                  (Part II)  . . . . . . . . . . . . . . . 1681--1705
              Luis M. Navas and   
          Francisco J. Ruiz and   
                 Juan L. Varona   Asymptotic estimates for
                                  Apostol--Bernoulli and Apostol--Euler
                                  polynomials  . . . . . . . . . . . . . . 1707--1722
            Ghaith A. Hiary and   
              Andrew M. Odlyzko   The zeta function on the critical line:
                                  Numerical evidence for moments and
                                  random matrix theory models  . . . . . . 1723--1752
           S. Adam Fletcher and   
            Pace P. Nielsen and   
                   Pascal Ochem   Sieve methods for odd perfect numbers    1753--1776
         Enrique Treviño   The least inert prime in a real
                                  quadratic field  . . . . . . . . . . . . 1777--1797
Jérémy Berthomieu and   
         Grégoire Lecerf   Reduction of bivariate polynomials from
                                  convex-dense to dense, with application
                                  to factorizations  . . . . . . . . . . . 1799--1821
                Jeroen Sijsling   Arithmetic $(1;e)$-curves and Bel\uì maps 1823--1855
                 Aron Simis and   
           Rafael H. Villarreal   Combinatorics of Cremona monomial maps   1857--1867
               Pascal Ochem and   
               Michaël Rao   Odd perfect numbers are greater than
                                  $10^{1500}$  . . . . . . . . . . . . . . 1869--1877

Mathematics of Computation
Volume 81, Number 280, October, 2012

           J. Guzmán and   
                  D. Leykekhman   Pointwise error estimates of finite
                                  element approximations to the Stokes
                                  problem on convex polyhedra. . . . . . . 1879--1902
               Zhiqiang Cai and   
                     Shun Zhang   Mixed methods for stationary
                                  Navier--Stokes equations based on
                                  pseudostress-pressure-velocity
                                  formulation  . . . . . . . . . . . . . . 1903--1927
                Liangyue Ji and   
                     Yan Xu and   
               Jennifer K. Ryan   Accuracy-enhancement of discontinuous
                                  Galerkin solutions for
                                  convection-diffusion equations in
                                  multiple-dimensions  . . . . . . . . . . 1929--1950
          Jean-Luc Guermond and   
             Peter D. Minev and   
               Abner J. Salgado   Convergence analysis of a class of
                                  massively parallel direction splitting
                                  algorithms for the Navier--Stokes
                                  equations in simple domains  . . . . . . 1951--1977
                  S. Mishra and   
                     Ch. Schwab   Sparse tensor multi-level Monte Carlo
                                  finite volume methods for hyperbolic
                                  conservation laws with random initial
                                  data . . . . . . . . . . . . . . . . . . 1979--2018
                  R. Eymard and   
           T. Gallouët and   
                  R. Herbin and   
                       A. Linke   Finite volume schemes for the biharmonic
                                  problem on general meshes  . . . . . . . 2019--2048
       Barbara Kaltenbacher and   
               Jonas Offtermatt   A convergence analysis of regularization
                                  by discretization in preimage space  . . 2049--2069
            Tony Leli\`evre and   
            Mathias Rousset and   
                 Gabriel Stoltz   Langevin dynamics with constraints and
                                  computation of free energy differences   2071--2125
                Sunyoung Bu and   
             Jingfang Huang and   
              Michael L. Minion   Semi-implicit Krylov deferred correction
                                  methods for differential algebraic
                                  equations  . . . . . . . . . . . . . . . 2127--2157
                     Avram Sidi   Euler--Maclaurin expansions for
                                  integrals with arbitrary algebraic
                                  endpoint singularities . . . . . . . . . 2159--2173
                Michael Gnewuch   Infinite-dimensional integration on
                                  weighted Hilbert spaces  . . . . . . . . 2175--2205
           Henryk Trappmann and   
             Dmitrii Kouznetsov   Computation of the two regular
                                  super-exponentials to base $\exp(1/e)$   2207--2227
            Kenier Castillo and   
 Regina Litz Lamblém and   
   Fernando Rodrigo Rafaeli and   
            Alagacone Sri Ranga   Szeg\Ho and para-orthogonal polynomials
                                  on the real line: Zeros and canonical
                                  spectral transformations . . . . . . . . 2229--2249
                 Howard S. Cohl   Table Errata to ``Formulas and theorems
                                  for the special functions of
                                  mathematical physics'' by W. Magnus, F.
                                  Oberhettinger & R. P. Soni (1966) . . . . 2251--2251
         Dorin Ervin Dutkay and   
          Palle E. T. Jorgensen   Fourier duality for fractal measures
                                  with affine scales . . . . . . . . . . . 2253--2273
         Dorin Ervin Dutkay and   
          Palle E. T. Jorgensen   Spectral measures and Cuntz algebras . . 2275--2301
               M. H. Castro and   
                V. A. Menegatto   Eigenvalue decay of positive integral
                                  operators on the sphere  . . . . . . . . 2303--2317
      Eugenio P. Balanzario and   
     Jorge Sánchez-Ortiz   Riemann--Siegel integral formula for the
                                  Lerch zeta function  . . . . . . . . . . 2319--2333
           Pieter Rozenhart and   
       Michael Jacobson Jr. and   
               Renate Scheidler   Tabulation of cubic function fields via
                                  polynomial binary cubic forms  . . . . . 2335--2359
             Nathan C. Ryan and   
        Nils-Peter Skoruppa and   
         Fredrik Strömberg   Numerical computation of a certain
                                  Dirichlet series attached to Siegel
                                  modular forms of degree two  . . . . . . 2361--2376
                       H. Jager   A metrical result on the approximation
                                  by continued fractions . . . . . . . . . 2377--2382
                   J. Beers and   
                 D. Henshaw and   
               C. K. McCall and   
                S. B. Mulay and   
                    M. Spindler   Corrigenda and addenda to
                                  ``Fundamentality of a cubic unit $u$ for
                                  $\mathbb{Z}[u]$''  . . . . . . . . . . . 2383--2387
                   I. Bauer and   
                  R. Pignatelli   The classification of minimal
                                  product-quotient surfaces with $p_g =
                                  0$.  . . . . . . . . . . . . . . . . . . 2389--2418
                L. Naughton and   
                    G. Pfeiffer   Computing the table of marks of a cyclic
                                  extension  . . . . . . . . . . . . . . . 2419--2438
         Simon R. Blackburn and   
                 James F. McKee   Constructing $k$-radius sequences  . . . 2439--2459
                   L. Hajdu and   
                     N. Saradha   Disproof of a conjecture of Jacobsthal   2461--2471


Mathematics of Computation
Volume 82, Number 281, January, 2013

              Gerhard Dziuk and   
             Charles M. Elliott   $L^2$-estimates for the evolving surface
                                  finite element method  . . . . . . . . . 1--24
                  Ming Wang and   
                     Jinchao Xu   Minimal finite element spaces for
                                  $2m$-th-order partial differential
                                  equations in $R^n$ . . . . . . . . . . . 25--43
               Georgios Akrivis   Implicit--explicit multistep methods for
                                  nonlinear parabolic equations  . . . . . 45--68
                       Wei Gong   Error estimates for finite element
                                  approximations of parabolic equations
                                  with measure data  . . . . . . . . . . . 69--98
                 Weizhu Bao and   
                   Yongyong Cai   Optimal error estimates of finite
                                  difference methods for the
                                  Gross--Pitaevskii equation with angular
                                  momentum rotation  . . . . . . . . . . . 99--128
           Nikolaos Sfakianakis   Adaptive mesh reconstruction for
                                  hyperbolic conservation laws with total
                                  variation bound  . . . . . . . . . . . . 129--151
                    Hao Gao and   
                   Hongkai Zhao   Analysis of a numerical solver for
                                  radiative transport equation . . . . . . 153--172
               Helge Holden and   
           Christian Lubich and   
            Nils Henrik Risebro   Operator splitting for partial
                                  differential equations with Burgers
                                  nonlinearity . . . . . . . . . . . . . . 173--185
          Bernardo Cockburn and   
                 Ivan Merev and   
                 Jianliang Qian   Local a posteriori error estimates for
                                  time-dependent Hamilton--Jacobi
                                  equations  . . . . . . . . . . . . . . . 187--212
                  Houde Han and   
                  Zhongyi Huang   Tailored finite point method based on
                                  exponential bases for
                                  convection-diffusion-reaction equation   213--226
                Holger Wendland   A high-order approximation method for
                                  semilinear parabolic equations on
                                  spheres  . . . . . . . . . . . . . . . . 227--245
              Ralf Hiptmair and   
              Andrea Moiola and   
                 Ilaria Perugia   Error analysis of Trefftz-discontinuous
                                  Galerkin methods for the time-harmonic
                                  Maxwell equations  . . . . . . . . . . . 247--268
              Martin Burger and   
        Michael Möller and   
             Martin Benning and   
                  Stanley Osher   An adaptive inverse scale space method
                                  for compressed sensing . . . . . . . . . 269--299
               Junfeng Yang and   
                  Xiaoming Yuan   Linearized augmented Lagrangian and
                                  alternating direction methods for
                                  nuclear norm minimization  . . . . . . . 301--329
                  Y. Lipman and   
                  J. Puente and   
                  I. Daubechies   Conformal Wasserstein distance: II.
                                  computational aspects and extensions . . 331--381
            Michael Griebel and   
             Frances Y. Kuo and   
                   Ian H. Sloan   The smoothing effect of integration in $
                                  \mathbb {R}^d $ and the ANOVA
                                  decomposition  . . . . . . . . . . . . . 383--400
                Youming Liu and   
                   Junjian Zhao   An extension of Bittner and Urban's
                                  theorem  . . . . . . . . . . . . . . . . 401--411
                 Guo Ben-yu and   
                    Sun Tao and   
                     Zhang Chao   Jacobi and Laguerre quasi-orthogonal
                                  approximations and related
                                  interpolations . . . . . . . . . . . . . 413--441
Béla Bollobás and   
             Malte Lackmann and   
               Dierk Schleicher   A small probabilistic universal set of
                                  starting points for finding roots of
                                  complex polynomials by Newton's method   443--457
                    Bin Han and   
               Xiaosheng Zhuang   Algorithms for matrix extension and
                                  orthogonal wavelet filter banks over
                                  algebraic number fields  . . . . . . . . 459--490
          Reza R. Farashahi and   
        Pierre-Alain Fouque and   
        Igor E. Shparlinski and   
             Mehdi Tibouchi and   
               J. Felipe Voloch   Indifferentiable deterministic hashing
                                  to elliptic and hyperelliptic curves . . 491--512
           Robert L. Miller and   
                  Michael Stoll   Explicit isogeny descent on elliptic
                                  curves . . . . . . . . . . . . . . . . . 513--529
               Takafumi Shibuta   Irreducibility criterion for algebroid
                                  curves . . . . . . . . . . . . . . . . . 531--554
                 Koray Karabina   Squaring in cyclotomic subgroups . . . . 555--579
              Sorina Ionica and   
                   Antoine Joux   Pairing the volcano  . . . . . . . . . . 581--603
Anderson N. Martinhão and   
       Emerson L. Monte Carmelo   Short covering codes arising from
                                  matchings in weighted graphs . . . . . . 605--616
                 Yong Zhang and   
                    Tianxin Cai   $n$-tuples of positive integers with the
                                  same sum and the same product  . . . . . 617--623

Mathematics of Computation
Volume 82, Number 282, 2013

                Alan Demlow and   
                   Stig Larsson   Local pointwise a posteriori gradient
                                  error bounds for the Stokes equations    625--649
          Bernardo Cockburn and   
                         Ke Shi   Conditions for superconvergence of HDG
                                  methods for Stokes flow  . . . . . . . . 651--671
                 S. Bidwell and   
              M. E. Hassell and   
                 C. R. Westphal   A weighted least squares finite element
                                  method for elliptic problems with
                                  degenerate and singular coefficients . . 673--688
         D. C. Antonopoulos and   
                 V. A. Dougalis   Error estimates for Galerkin
                                  approximations of the ``classical''
                                  Boussinesq system  . . . . . . . . . . . 689--717
               Helge Holden and   
         Kenneth H. Karlsen and   
                  Trygve Karper   Operator splitting for two-dimensional
                                  incompressible fluid equations . . . . . 719--748
                    Shi Jin and   
               Jian-guo Liu and   
                        Li Wang   A domain decomposition method for
                                  semilinear hyperbolic systems with
                                  two-scale relaxations  . . . . . . . . . 749--779
                  Bengt Hakberg   A discrete KPP-theory for Fisher's
                                  equation . . . . . . . . . . . . . . . . 781--802
     Samuel K. M. Chenoweth and   
                Julio Soria and   
                     Andrew Ooi   An improved interpolation scheme for
                                  finite volume simulations on
                                  unstructured meshes  . . . . . . . . . . 803--830
         Christophe Berthon and   
        Philippe G. LeFloch and   
              Rodolphe Turpault   Late-time/stiff-relaxation
                                  asymptotic-preserving approximations of
                                  hyperbolic equations . . . . . . . . . . 831--860
         Vladimir Molchanov and   
                  Marcel Oliver   Convergence of the Hamiltonian
                                  particle-mesh method for barotropic
                                  fluid flow . . . . . . . . . . . . . . . 861--891
             Alexander Dick and   
                Othmar Koch and   
         Roswitha März and   
            Ewa Weinmüller   Convergence of collocation schemes for
                                  boundary value problems in nonlinear
                                  index $1$ DAEs with a singular point . . 893--918
               Hailiang Liu and   
               Olof Runborg and   
            Nicolay M. Tanushev   Error estimates for Gaussian beam
                                  superpositions . . . . . . . . . . . . . 919--952
              V. L. Makarov and   
             D. V. Dragunov and   
                Ya. V. Klimenko   The FD-method for solving
                                  Sturm--Liouville problems with special
                                  singular differential operator . . . . . 953--973
            Michael Griebel and   
               Helmut Harbrecht   On the construction of sparse tensor
                                  product spaces . . . . . . . . . . . . . 975--994
                 Yong Zhang and   
                   Bin Dong and   
                    Zhaosong Lu   $ \mathcal {L}_0 $ Minimization for
                                  wavelet frame based image restoration    995--1015
                 Ziqing Xie and   
               Li-Lian Wang and   
                   Xiaodan Zhao   On exponential convergence of Gegenbauer
                                  interpolation and spectral
                                  differentiation  . . . . . . . . . . . . 1017--1036
          Miodrag M. Spalevi\'c   Error bounds of Gaussian quadrature
                                  formulae for one class of
                                  Bernstein--Szeg\Ho weights . . . . . . . 1037--1056
            Kenier Castillo and   
     Francisco Marcellán   Generators of rational spectral
                                  transformations for nontrivial $
                                  \mathcal {C} $-functions . . . . . . . . 1057--1068
           Iván Area and   
        Dimitar K. Dimitrov and   
              Eduardo Godoy and   
             Vanessa G. Paschoa   Zeros of classical orthogonal
                                  polynomials of a discrete variable . . . 1069--1095
         Stamatis Koumandos and   
               Martin Lamprecht   Complete monotonicity and related
                                  properties of some special functions . . 1097--1120
                  Timothy Caley   The Prouhet--Tarry--Escott problem for
                                  Gaussian integers  . . . . . . . . . . . 1121--1137
        Daniel J. Bernstein and   
              Peter Birkner and   
                Tanja Lange and   
              Christiane Peters   ECM using Edwards curves . . . . . . . . 1139--1179
        Steven D. Galbraith and   
            John M. Pollard and   
             Raminder S. Ruprai   Computing discrete logarithms in an
                                  interval . . . . . . . . . . . . . . . . 1181--1195
              Kevin G. Hare and   
                   Maysum Panju   Some comments on Garsia numbers  . . . . 1197--1221
             Xavier Guitart and   
                    Marc Masdeu   Continued fractions in $2$-stage
                                  Euclidean quadratic fields . . . . . . . 1223--1233
        Guillaume Melquiond and   
             W. Georg Nowak and   
                Paul Zimmermann   Numerical approximation of the
                                  Masser--Gramain constant to four decimal
                                  digits: $ \delta = 1.819 \ldots {} $ . . 1235--1246

Mathematics of Computation
Volume 82, Number 283, 2013

                    Adrian Hirn   Finite element approximation of singular
                                  power-law systems  . . . . . . . . . . . 1247--1268
              Xiaobing Feng and   
                    Yulong Xing   Absolutely stable local discontinuous
                                  Galerkin methods for the Helmholtz
                                  equation with large wave number  . . . . 1269--1296
              Sangita Yadav and   
              Amiya K. Pani and   
                   Eun-Jae Park   Superconvergent discontinuous Galerkin
                                  methods for nonlinear elliptic equations 1297--1335
             Chuanmiao Chen and   
                     Shufang Hu   The highest order superconvergence for
                                  bi-$k$ degree rectangular elements at
                                  nodes: a proof of $ 2 k $-conjecture . . 1337--1355
             Traian Iliescu and   
                       Zhu Wang   Variational multiscale proper orthogonal
                                  decomposition: Convection-dominated
                                  convection-diffusion-reaction equations  1357--1378
        Paola F. Antonietti and   
Lourenco Beirão da Veiga and   
                   Marco Verani   A mimetic discretization of elliptic
                                  obstacle problems  . . . . . . . . . . . 1379--1400
                 J. L. Bona and   
                    H. Chen and   
             O. Karakashian and   
                        Y. Xing   Conservative, discontinuous
                                  Galerkin--methods for the generalized
                                  Korteweg--de Vries equation  . . . . . . 1401--1432
         Kristian Debrabant and   
              Espen R. Jakobsen   Semi-Lagrangian schemes for linear and
                                  fully non-linear diffusion equations . . 1433--1462
                   N. V. Krylov   Interior estimates for second-order
                                  differences of solutions of
                                  finite-difference elliptic Bellman's
                                  equations  . . . . . . . . . . . . . . . 1463--1487
              Simone Cifani and   
              Espen R. Jakobsen   On the spectral vanishing viscosity
                                  method for periodic fractional
                                  conservation laws  . . . . . . . . . . . 1489--1514
       Claude Jeffrey Gittelson   An adaptive stochastic Galerkin method
                                  for random elliptic operators  . . . . . 1515--1541
         Yoshitaka Watanabe and   
         Takehiko Kinoshita and   
             Mitsuhiro T. Nakao   A posteriori estimates of inverse
                                  operators for boundary value problems in
                                  linear elliptic partial differential
                                  equations  . . . . . . . . . . . . . . . 1543--1557
                  S. Blanes and   
                   F. Casas and   
                P. Chartier and   
                       A. Murua   Optimized high-order splitting methods
                                  for some classes of parabolic equations  1559--1576
                Jungong Xue and   
                       Qiang Ye   Computing exponentials of essentially
                                  non-negative matrices entrywise to high
                                  relative accuracy  . . . . . . . . . . . 1577--1596
                 Xiaoji Liu and   
                  Shuxia Wu and   
  Dragana S. Cvetkovi\'c-Ili\'c   New results on reverse order law for $
                                  {1, 2, 3} $- and $ {1, 2, 4} $-inverses
                                  of bounded operators . . . . . . . . . . 1597--1607
                   Shuai Lu and   
             Peter Mathé   Heuristic parameter selection based on
                                  functional minimization: Optimality and
                                  model function approach  . . . . . . . . 1609--1630
              Shidong Jiang and   
                  Zhi Liang and   
                 Jingfang Huang   A fast algorithm for Brownian dynamics
                                  simulation with hydrodynamic
                                  interactions . . . . . . . . . . . . . . 1631--1645
                     Qinian Jin   Further convergence results on the
                                  general iteratively regularized
                                  Gauss--Newton methods under the
                                  discrepancy principle  . . . . . . . . . 1647--1665
               Elaine Cohen and   
                  Tom Lyche and   
          Richard F. Riesenfeld   A B-spline-like basis for the
                                  Powell--Sabin 12-split based on simplex
                                  splines  . . . . . . . . . . . . . . . . 1667--1707
          Rados\law Szmytkowski   Erratum to \booktitleFormulas and
                                  Theorems for the Special Functions of
                                  Mathematical Physics by W. Magnus, F.
                                  Oberhettinger, R. P. Soni  . . . . . . . 1709--1710
                    Peter Bruin   Computing in Picard groups of projective
                                  curves over finite fields  . . . . . . . 1711--1756
              William Stein and   
             Christian Wuthrich   Algorithms for the arithmetic of
                                  elliptic curves using Iwasawa theory . . 1757--1792
              Guillaume Ch\`eze   A recombination algorithm for the
                                  decomposition of multivariate rational
                                  functions  . . . . . . . . . . . . . . . 1793--1812
                 M. Delgado and   
        J. I. Farrán and   
P. A. García-Sánchez and   
                       D. Llena   On the generalized Feng--Rao numbers of
                                  numerical semigroups generated by
                                  intervals  . . . . . . . . . . . . . . . 1813--1836
  Johan Sejr Brinch Nielsen and   
            Jakob Grue Simonsen   An experimental investigation of the
                                  normality of irrational algebraic
                                  numbers  . . . . . . . . . . . . . . . . 1837--1858

Mathematics of Computation
Volume 82, Number 284, 2013

             Alexey Chernov and   
               Christoph Schwab   First order $k$-th moment finite element
                                  analysis of nonlinear operator equations
                                  with stochastic data . . . . . . . . . . 1859--1888
                   Qiang Du and   
                    Lili Ju and   
                    Li Tian and   
                       Kun Zhou   A posteriori error analysis of finite
                                  element method for linear nonlocal
                                  diffusion and peridynamic models . . . . 1889--1922
              Tan Bui-Thanh and   
           Leszek Demkowicz and   
                   Omar Ghattas   Constructively well-posed approximation
                                  methods with unity inf--sup and
                                  continuity constants for partial
                                  differential equations . . . . . . . . . 1923--1952
                    Ross Ingram   A new linearly extrapolated
                                  Crank--Nicolson time-stepping scheme for
                                  the Navier--Stokes equations . . . . . . 1953--1973
               Eskil Hansen and   
                Tony Stillfjord   Convergence of the implicit-explicit
                                  Euler scheme applied to perturbed
                                  dissipative evolution equations  . . . . 1975--1985
                Kassem Mustapha   A superconvergent discontinuous Galerkin
                                  method for Volterra integro-differential
                                  equations, smooth and non-smooth kernels 1987--2005
   Froilán M. Dopico and   
            Vadim Olshevsky and   
                 Pavel Zhlobich   Stability of $ Q R $-based fast system
                                  solvers for a subclass of quasiseparable
                                  rank one matrices  . . . . . . . . . . . 2007--2034
                Carl Jagels and   
                 Lothar Reichel   The structure of matrices in rational
                                  Gauss quadrature . . . . . . . . . . . . 2035--2060
                    Yi Yang and   
        Michael Möller and   
                  Stanley Osher   A dual split Bregman method for fast $
                                  \ell^1 $ minimization  . . . . . . . . . 2061--2085
                     Xudong Yao   A minimax method for finding saddle
                                  critical points of upper
                                  semi-differentiable locally Lipschitz
                                  continuous functional in Hilbert space
                                  and its convergence  . . . . . . . . . . 2087--2136
          Christine Choirat and   
                 Raffaello Seri   Computational aspects of Cui--Freeden
                                  statistics for equidistribution on the
                                  sphere . . . . . . . . . . . . . . . . . 2137--2156
               Nabi Chegini and   
             Stephan Dahlke and   
           Ulrich Friedrich and   
                  Rob Stevenson   Piecewise tensor product wavelet bases
                                  by extensions and approximation rates    2157--2190
                  C. Ortner and   
                  A. V. Shapeev   Analysis of an energy-based
                                  atomistic/continuum approximation of a
                                  vacancy in the $2$D triangular lattice   2191--2236
                 Ana Romero and   
                    Julio Rubio   Homotopy groups of suspended classifying
                                  spaces: an experimental approach . . . . 2237--2244
    Claude-Pierre Jeannerod and   
             Nicolas Louvet and   
             Jean-Michel Muller   Further analysis of Kahan's algorithm
                                  for the accurate computation of $ 2
                                  \times 2 $ determinants  . . . . . . . . 2245--2264
             Mark W. Coffey and   
                 George Csordas   On the log-concavity of a Jacobi theta
                                  function . . . . . . . . . . . . . . . . 2265--2272
                  Georges Klein   An extension of the Floater--Hormann
                                  family of barycentric rational
                                  interpolants . . . . . . . . . . . . . . 2273--2292
            A. Papageorgiou and   
                  I. Petras and   
                J. F. Traub and   
                       C. Zhang   A fast algorithm for approximating the
                                  ground state energy on a quantum
                                  computer . . . . . . . . . . . . . . . . 2293--2304
                Michael Strauss   The second order spectrum and optimal
                                  convergence  . . . . . . . . . . . . . . 2305--2325
                   A. Bayad and   
                      J. Chikhi   Möbius inversion formulae for
                                  Apostol--Bernoulli type polynomials and
                                  numbers  . . . . . . . . . . . . . . . . 2327--2332
                Tianxin Cai and   
                      Deyi Chen   A new variant of the Hilbert--Waring
                                  problem  . . . . . . . . . . . . . . . . 2333--2341
                     Anna Morra   An algorithm to compute relative cubic
                                  fields . . . . . . . . . . . . . . . . . 2343--2361
                Werner Bley and   
                 Ruben Debeerst   Algorithmic proof of the epsilon
                                  constant conjecture  . . . . . . . . . . 2363--2387
             Robert Granger and   
                    Andrew Moss   Generalised Mersenne numbers revisited   2389--2420
          Murray R. Bremner and   
                    Jiaxiong Hu   Fundamental invariants for the action of
                                  $ {\rm SL}_3 (\mathbb {C}) \times {\rm
                                  SL}_3 (\mathbb {C}) \times S L_3
                                  (\mathbb {C}) $ on $ 3 \times 3 \times 3
                                  $ arrays . . . . . . . . . . . . . . . . 2421--2438
             Kevin Broughan and   
      Sergio Guzman Sanchez and   
                   Florian Luca   Perfect repdigits  . . . . . . . . . . . 2439--2459


Mathematics of Computation
Volume 83, Number 285, 2014

                    Qun Lin and   
                   Hehu Xie and   
                     Jinchao Xu   Lower bounds of the discretization error
                                  for piecewise polynomials  . . . . . . . 1--13
       Johnny Guzmán and   
                 Michael Neilan   Conforming and divergence-free Stokes
                                  elements on general triangular meshes    15--36
                 Liyong Zhu and   
                       Qiang Du   Mesh dependent stability and condition
                                  number estimates for finite element
                                  approximations of parabolic problems . . 37--64
          Bernardo Cockburn and   
Vincent Quenneville-Bélair   Uniform-in-time superconvergence of the
                                  HDG methods for the acoustic wave
                                  equation . . . . . . . . . . . . . . . . 65--85
                Yanlai Chen and   
              Bernardo Cockburn   Analysis of variable-degree HDG methods
                                  for convection--diffusion equations.
                                  Part II: Semimatching nonconforming
                                  meshes . . . . . . . . . . . . . . . . . 87--111
          Nune Hovhannisyan and   
      Siegfried Müller and   
            Roland Schäfer   Adaptive multiresolution discontinuous
                                  Galerkin schemes for conservation laws   113--151
    Clément Canc\`es and   
            Iuliu Sorin Pop and   
         Martin Vohralík   An a posteriori error estimate for
                                  vertex-centered finite volume
                                  discretizations of immiscible
                                  incompressible two-phase flow  . . . . . 153--188
                Olivier Verdier   Reductions of operator pencils . . . . . 189--214
                   Gang Bao and   
              Shui-Nee Chow and   
                  Peijun Li and   
                    Haomin Zhou   An inverse random source problem for the
                                  Helmholtz equation . . . . . . . . . . . 215--233
             Hatem A. Fayed and   
                  Amir F. Atiya   An evaluation of the integral of the
                                  product of the error function and the
                                  normal probability density with
                                  application to the bivariate normal
                                  integral . . . . . . . . . . . . . . . . 235--250
           Andreas Griewank and   
               Lutz Lehmann and   
              Hernan Leovey and   
                Marat Zilberman   Automatic evaluations of
                                  cross-derivatives  . . . . . . . . . . . 251--274
                   Marco Streng   Computing Igusa class polynomials  . . . 275--309
        Jan Steffen Müller   Computing canonical heights using
                                  arithmetic intersection theory . . . . . 311--336
               Florian Luca and   
                   Filip Najman   Errata to ``On the largest prime factor
                                  of $ x^2 - 1 $'' . . . . . . . . . . . . 337--337
                Edgar Costa and   
                   David Harvey   Faster deterministic integer
                                  factorization  . . . . . . . . . . . . . 339--345
               Omran Ahmadi and   
                 Robert Granger   An efficient deterministic test for
                                  Kloosterman sum zeros  . . . . . . . . . 347--363
                 Brendan Creutz   Second $p$-descents on elliptic curves   365--409
                   Eric Errthum   Minimal polynomials of singular moduli   411--420
            Yannick Saouter and   
                Herman te Riele   Improved results on the Mertens
                                  conjecture . . . . . . . . . . . . . . . 421--433
            Javad Doliskani and   
             Éric Schost   Taking roots over high extensions of
                                  finite fields  . . . . . . . . . . . . . 435--446
                 Mohammad Sadek   On elliptic curves whose conductor is a
                                  product of two prime powers  . . . . . . 447--460
               Eric Jespers and   
Ángel del Río and   
              Inneke Van Gelder   Writing units of integral group rings of
                                  finite abelian groups as a product of
                                  Bass units . . . . . . . . . . . . . . . 461--473
               Wenchang Chu and   
                  Wenlong Zhang   Accelerating Dougall's $ {_5F_4} $-sum
                                  and infinite series involving $ \pi $    475--512

Mathematics of Computation
Volume 83, Number 286, 2014

              Assyr Abdulle and   
                 Gilles Vilmart   Analysis of the finite element
                                  heterogeneous multiscale method for
                                  quasilinear elliptic homogenization
                                  problems . . . . . . . . . . . . . . . . 513--536
          J. Gopalakrishnan and   
                         W. Qiu   An analysis of the practical DPG method  537--552
   Rodolfo Rodríguez and   
                  Pablo Venegas   Numerical approximation of the spectrum
                                  of the curl operator . . . . . . . . . . 553--577
            Thirupathi Gudi and   
                  Kamana Porwal   A posteriori error control of
                                  discontinuous Galerkin methods for
                                  elliptic obstacle problems . . . . . . . 579--602
          Bernardo Cockburn and   
                    Weifeng Qiu   Commuting diagrams for the TNT elements
                                  on cubes . . . . . . . . . . . . . . . . 603--633
                Huiqing Zhu and   
                   Zhimin Zhang   Uniform convergence of the LDG method
                                  for a singularly perturbed problem with
                                  the exponential boundary layer . . . . . 635--663
          Bernardo Cockburn and   
                Weifeng Qiu and   
                  Manuel Solano   A priori error analysis for HDG methods
                                  using extensions from subdomains to
                                  achieve boundary conformity  . . . . . . 665--699
                   Huoyuan Duan   A finite element method for
                                  Reissner--Mindlin plates . . . . . . . . 701--733
                          Da Xu   Uniform $ l^1 $ convergence in the
                                  Crank--Nicolson method of a linear
                                  integro-differential equation for
                                  viscoelastic rods and plates . . . . . . 735--769
             M. C. De Bonis and   
                 G. Mastroianni   Numerical treatment of a class of
                                  systems of Fredholm integral equations
                                  on the real line . . . . . . . . . . . . 771--788
              Xiaowei Huang and   
              Chuansheng Wu and   
                       Jun Zhou   Numerical differentiation by integration 789--807
                 O. Davydov and   
                J. Prasiswa and   
                        U. Reif   Two-stage approximation methods with
                                  extended B-splines . . . . . . . . . . . 809--833
                  R. J. Loy and   
                R. S. Anderssen   On the construction of Dirichlet series
                                  approximations for completely monotone
                                  functions  . . . . . . . . . . . . . . . 835--846
               Bernard Mourrain   On the dimension of spline spaces on
                                  planar T-meshes  . . . . . . . . . . . . 847--871
                 Bernd Bank and   
                Marc Giusti and   
                    Joos Heintz   Point searching in real singular
                                  complete intersection varieties:
                                  algorithms of intrinsic complexity . . . 873--897
               W. R. Alford and   
               Jon Grantham and   
              Steven Hayman and   
                 Andrew Shallue   Constructing Carmichael numbers through
                                  improved subset-product algorithms . . . 899--915
            Luis Dieulefait and   
                   Nuno Freitas   The Fermat-type equations $ x^5 + y^5 =
                                  2 z^p $ or $ 3 z^p $ solved through $
                                  \mathbb {Q} $-curves . . . . . . . . . . 917--933
             M. D. Velichka and   
         M. J. Jacobson Jr. and   
                       A. Stein   Computing discrete logarithms in the
                                  Jacobian of high-genus hyperelliptic
                                  curves over even characteristic finite
                                  fields . . . . . . . . . . . . . . . . . 935--963
           Ulrich Derenthal and   
  Andreas-Stephan Elsenhans and   
               Jörg Jahnel   On the factor alpha in Peyre's constant  965--977
    Harri Haanpää and   
Patric R. J. Östergård   Counting Hamiltonian cycles in bipartite
                                  graphs . . . . . . . . . . . . . . . . . 979--995
                    Terence Tao   Every odd number greater than $1$ is the
                                  sum of at most five primes . . . . . . . 997--1038

Mathematics of Computation
Volume 83, Number 287, 2014

              Andrea Bonito and   
          Jean-Luc Guermond and   
                    Bojan Popov   Stability analysis of explicit entropy
                                  viscosity methods for non-linear scalar
                                  conservation equations . . . . . . . . . 1039--1062
          Bernardo Cockburn and   
                    Wujun Zhang   An a posteriori error estimate for the
                                  variable-degree Raviart--Thomas method   1063--1082
       Blanca Ayuso de Dios and   
              Michael Holst and   
                Yunrong Zhu and   
               Ludmil Zikatanov   Multilevel preconditioners for
                                  discontinuous, Galerkin approximations
                                  of elliptic problems, with jump
                                  coefficients . . . . . . . . . . . . . . 1083--1120
           Afaf Bouharguane and   
             Rémi Carles   Splitting methods for the nonlocal
                                  Fowler equation  . . . . . . . . . . . . 1121--1141
                Shaohua Pan and   
                 Sangho Kum and   
                 Yongdo Lim and   
                 Jein-Shan Chen   On the generalized Fischer--Burmeister
                                  merit function for the second-order cone
                                  complementarity problem  . . . . . . . . 1143--1171
                     Jinyan Fan   Accelerating the modified
                                  Levenberg--Marquardt method for
                                  nonlinear equations  . . . . . . . . . . 1173--1187
              Peter Kritzer and   
   Friedrich Pillichshammer and   
          Henryk Wo\'zniakowski   Multivariate integration of infinitely
                                  many times differentiable functions in
                                  weighted Korobov spaces  . . . . . . . . 1189--1206
  Gradimir V. Milovanovi\'c and   
          Miodrag M. Spalevi\'c   Kronrod extensions with multiple nodes
                                  of quadrature formulas for Fourier
                                  coefficients . . . . . . . . . . . . . . 1207--1231
           Makoto Matsumoto and   
               Mutsuo Saito and   
                    Kyle Matoba   A computable figure of merit for
                                  quasi-Monte Carlo point sets . . . . . . 1233--1250
              Masanori Sawa and   
                        Yuan Xu   On positive cubature rules on the
                                  simplex and isometric embeddings . . . . 1251--1277
Irénée Briquel and   
              Felipe Cucker and   
         Javier Peña and   
                 Vera Roshchina   Fast computation of zeros of polynomial
                                  systems with bounded degree under
                                  finite-precision . . . . . . . . . . . . 1279--1317
              G. W. Wasilkowski   Average case tractability of
                                  approximating $\infty$-variate functions 1319--1336
                Hal Schenck and   
        Alexandra Seceleanu and   
               Javid Validashti   Syzygies and singularities of tensor
                                  product surfaces of bidegree $ (2, 1) $  1337--1372
      Christoph Aistleitner and   
                   Markus Hofer   Probabilistic discrepancy bound for
                                  Monte Carlo point sets . . . . . . . . . 1373--1381
                 Mark W. Coffey   Series representation of the Riemann
                                  zeta function and other results:
                                  Complements to a paper of Crandall . . . 1383--1395
                Pierre Lezowski   Computation of the Euclidean minimum of
                                  algebraic number fields  . . . . . . . . 1397--1426
             Masaaki Harada and   
               Tsuyoshi Miezaki   On the existence of extremal Type II $
                                  \mathbb {Z}_{2k}$-codes  . . . . . . . . 1427--1446
                 Kevin Ford and   
               Florian Luca and   
                   Pieter Moree   Values of the Euler $ \varphi $-function
                                  not divisible by a given odd prime, and
                                  the distribution of Euler--Kronecker
                                  constants for cyclotomic fields  . . . . 1447--1476
         Aristides Kontogeorgis   Constructing class invariants  . . . . . 1477--1488
              Gabriele Nebe and   
                 Richard Parker   On extremal even unimodular $
                                  72$-dimensional lattices . . . . . . . . 1489--1494
                Lajos Hajdu and   
                 Volker Ziegler   Distinct unit generated totally complex
                                  quartic fields . . . . . . . . . . . . . 1495--1512
                     Enric Nart   Local computation of differents and
                                  discriminants  . . . . . . . . . . . . . 1513--1534
Domingo Gómez-Pérez and   
               Alina Ostafe and   
               Igor Shparlinski   Algebraic entropy, automorphisms and
                                  sparsity of algebraic dynamical systems
                                  and pseudorandom number generators . . . 1535--1550

Mathematics of Computation
Volume 83, Number 288, 2014

          Douglas N. Arnold and   
                  Gerard Awanou   Finite element differential forms on
                                  cubical meshes . . . . . . . . . . . . . 1551--1570
          Bernardo Cockburn and   
         Francisco-Javier Sayas   Divergence-conforming HDG methods for
                                  Stokes flows . . . . . . . . . . . . . . 1571--1598
              Karsten Urban and   
              Anthony T. Patera   An improved error bound for reduced
                                  basis approximation of linear parabolic
                                  problems . . . . . . . . . . . . . . . . 1599--1615
                Yanzhao Cao and   
             Max Gunzburger and   
                Xiaoming He and   
                  Xiaoming Wang   Parallel, non-iterative, multi-physics
                                  domain decomposition methods for
                                  time-dependent Stokes--Darcy systems . . 1617--1644
                  C. Canuto and   
             R. H. Nochetto and   
                      M. Verani   Adaptive Fourier--Galerkin methods . . . 1645--1687
            Elena Celledoni and   
             Brynjulf Owren and   
                     Yajuan Sun   The minimal stage, energy preserving
                                  Runge--Kutta method for polynomial
                                  Hamiltonian systems is the averaged
                                  vector field method  . . . . . . . . . . 1689--1700
             Lei-Hong Zhang and   
                  Wei Hong Yang   An efficient algorithm for second-order
                                  cone linear complementarity problems . . 1701--1726
                 Peng Zhang and   
                Yuxiang Gao and   
              Janet Fierson and   
                    Yuefan Deng   Eigenanalysis-based task mapping on
                                  parallel computers with cellular
                                  networks . . . . . . . . . . . . . . . . 1727--1756
      Markos A. Katsoulakis and   
      Petr Plechá\vc and   
             Luc Rey-Bellet and   
   Dimitrios K. Tsagkarogiannis   Coarse-graining schemes for stochastic
                                  lattice systems with short and
                                  long-range interactions  . . . . . . . . 1757--1793
            David H. Bailey and   
        Jonathan M. Borwein and   
            Richard E. Crandall   Computation and theory of extended
                                  Mordell--Tornheim--Witten sums . . . . . 1795--1821
                   C. Kalla and   
                       C. Klein   Computation of the topological type of a
                                  real Riemann surface . . . . . . . . . . 1823--1846
                    Bo Dong and   
                      Bo Yu and   
                         Yan Yu   A symmetric homotopy and hybrid
                                  polynomial system solving method for
                                  mixed trigonometric polynomial systems   1847--1868
            Philip J. Aston and   
                   Oliver Junge   Computing the invariant measure and the
                                  Lyapunov exponent for one-dimensional
                                  maps using a measure-preserving
                                  polynomial basis . . . . . . . . . . . . 1869--1902
             Carl Pomerance and   
                  Hee-Sung Yang   Variant of a theorem of Erd\Hos on the
                                  sum-of-proper-divisors function  . . . . 1903--1913
                    Maciej Ulas   On some Diophantine systems involving
                                  symmetric polynomials  . . . . . . . . . 1915--1930
  Lassina Dembélé   On the computation of algebraic modular
                                  forms on compact inner forms of $
                                  \mathbf {GSp}_4 $  . . . . . . . . . . . 1931--1950
      Valéry Mahé   Prime power terms in elliptic
                                  divisibility sequences . . . . . . . . . 1951--1991
                 Minkyu Kim and   
             Jung Hee Cheon and   
                     In-Sok Lee   Analysis on a generalized algorithm for
                                  the strong discrete logarithm problem
                                  with auxiliary inputs  . . . . . . . . . 1993--2004
    Jean-François Biasse   An $ L(1 / 3) $ algorithm for ideal
                                  class group and regulator computation in
                                  certain number fields  . . . . . . . . . 2005--2031
Tomás Oliveira e Silva and   
           Siegfried Herzog and   
                   Silvio Pardi   Empirical verification of the even
                                  Goldbach conjecture and computation of
                                  prime gaps up to $ 4 \cdot 10^{18} $ . . 2033--2060

Mathematics of Computation
Volume 83, Number 289, 2014

                Natalia Kopteva   Linear finite elements may be only
                                  first-order pointwise accurate on
                                  anisotropic triangulations . . . . . . . 2061--2070
            Jan Giesselmann and   
     Charalambos Makridakis and   
                  Tristan Pryer   Energy consistent discontinuous Galerkin
                                  methods for the Navier--Stokes--Korteweg
                                  system . . . . . . . . . . . . . . . . . 2071--2099
               Junping Wang and   
                         Xiu Ye   A weak Galerkin mixed finite element
                                  method for second order elliptic
                                  problems . . . . . . . . . . . . . . . . 2101--2126
         Fernando D. Gaspoz and   
                    Pedro Morin   Approximation classes for adaptive
                                  higher order finite element
                                  approximation  . . . . . . . . . . . . . 2127--2160
                   Jie Chen and   
               Desheng Wang and   
                       Qiang Du   Linear finite element superconvergence
                                  on simplicial meshes . . . . . . . . . . 2161--2185
           Lennard Kamenski and   
             Weizhang Huang and   
                     Hongguo Xu   Conditioning of finite element equations
                                  with arbitrary anisotropic meshes  . . . 2187--2211
                     Zhengfu Xu   Parametrized maximum principle
                                  preserving flux limiters for high order
                                  schemes solving hyperbolic conservation
                                  laws: one-dimensional scalar problem . . 2213--2238
                Liangyue Ji and   
    Paulien van Slingerland and   
           Jennifer K. Ryan and   
                      Kees Vuik   Superconvergent error estimates for
                                  position-dependent smoothness-increasing
                                  accuracy-conserving (SIAC)
                                  post-processing of discontinuous
                                  Galerkin solutions . . . . . . . . . . . 2239--2262
                  Deren Han and   
              Xiaoming Yuan and   
                  Wenxing Zhang   An augmented Lagrangian based parallel
                                  splitting method for separable convex
                                  minimization with applications to image
                                  processing . . . . . . . . . . . . . . . 2263--2291
        Arturo Kohatsu-Higa and   
     Salvador Ortiz-Latorre and   
                   Peter Tankov   Optimal simulation schemes for Lévy
                                  driven stochastic differential equations 2293--2324
Mihály Kovács and   
               Jacques Printems   Strong order of convergence of a fully
                                  discrete approximation of a linear
                                  stochastic Volterra type evolution
                                  equation . . . . . . . . . . . . . . . . 2325--2346
                 Ying Jiang and   
                    Yuesheng Xu   Fast computation of the multidimensional
                                  discrete Fourier transform and discrete
                                  backward Fourier transform on sparse
                                  grids  . . . . . . . . . . . . . . . . . 2347--2384
             Hatem A. Fayed and   
                  Amir F. Atiya   A novel series expansion for the
                                  multivariate normal probability
                                  integrals based on Fourier series  . . . 2385--2402
               Burhan Sadiq and   
              Divakar Viswanath   Finite difference weights, spectral
                                  differentiation, and superconvergence    2403--2427
                   San Ling and   
           Igor Shparlinski and   
                  Huaxiong Wang   On the Multidimensional Distribution of
                                  the Naor--Reingold Pseudo-Random
                                  Function . . . . . . . . . . . . . . . . 2429--2434
               Pascal Ochem and   
                    Micha\l Rao   On the number of prime factors of an odd
                                  perfect number . . . . . . . . . . . . . 2435--2439
     Benjamin D. Sokolowsky and   
            Amy G. VanHooft and   
          Rachel M. Volkert and   
             Clifford A. Reiter   An infinite family of perfect
                                  parallelepipeds  . . . . . . . . . . . . 2441--2454
       Simon Rubinstein-Salzedo   Period computations for covers of
                                  elliptic curves  . . . . . . . . . . . . 2455--2470
                   David Harvey   A subquadratic algorithm for computing
                                  the $n$-th Bernoulli number  . . . . . . 2471--2477
              Ariel Pacetti and   
         Nicolás Sirolli   Computing ideal classes representatives
                                  in quaternion algebras . . . . . . . . . 2479--2507
         Willem A. de Graaf and   
              Francesco Oriente   Classifying semisimple orbits of $
                                  \theta $-groups  . . . . . . . . . . . . 2509--2526
               Dennis Moore and   
                      Uwe Nagel   Algorithms for strongly stable ideals    2527--2552
                Chris Aholt and   
                    Luke Oeding   The ideal of the trifocal variety  . . . 2553--2574
              Samuel J. Dittmer   Spoof odd perfect numbers  . . . . . . . 2575--2582

Mathematics of Computation
Volume 83, Number 290, 2014

        Axel Målqvist and   
               Daniel Peterseim   Localization of elliptic multiscale
                                  problems . . . . . . . . . . . . . . . . 2583--2603
         Carsten Carstensen and   
                 Joscha Gedicke   Guaranteed lower bounds for eigenvalues  2605--2629
            Richard S. Falk and   
                 Ragnar Winther   Local bounded cochain projections  . . . 2631--2656
               Daniel Peterseim   Composite finite elements for elliptic
                                  interface problems . . . . . . . . . . . 2657--2674
                  Martin Stynes   Sharp anisotropic interpolation error
                                  estimates for rectangular
                                  Raviart--Thomas elements . . . . . . . . 2675--2689
             Alexander Rand and   
            Andrew Gillette and   
               Chandrajit Bajaj   Quadratic serendipity finite elements on
                                  polygons using generalized barycentric
                                  coordinates  . . . . . . . . . . . . . . 2691--2716
              K. H. Karlsen and   
              N. H. Risebro and   
        E. B. Storròsten   $ L^1 $ error estimates for difference
                                  approximations of degenerate
                                  convection-diffusion equations . . . . . 2717--2762
            Matthew Causley and   
          Andrew Christlieb and   
               Benjamin Ong and   
              Lee Van Groningen   Method of lines transpose: an implicit
                                  solution to the wave equation  . . . . . 2763--2786
          Petr N. Vabishchevich   Additive schemes (splitting schemes) for
                                  some systems of evolutionary equations   2787--2797
                  Sharif Rahman   Approximation errors in truncated
                                  dimensional decompositions . . . . . . . 2799--2819
            J. S. Brauchart and   
                 E. B. Saff and   
                I. H. Sloan and   
                R. S. Womersley   QMC designs: Optimal order Quasi Monte
                                  Carlo integration schemes on the sphere  2821--2851
                A. Hinrichs and   
                   E. Novak and   
                 M. Ullrich and   
              H. Wo\dzniakowski   The curse of dimensionality for
                                  numerical integration of smooth
                                  functions  . . . . . . . . . . . . . . . 2853--2863
            Charles K. Chui and   
                  H. N. Mhaskar   Smooth function extension based on high
                                  dimensional unstructured data  . . . . . 2865--2891
               Haiyong Wang and   
             Daan Huybrechs and   
              Stefan Vandewalle   Explicit barycentric weights for
                                  polynomial interpolation in the roots or
                                  extrema of classical orthogonal
                                  polynomials  . . . . . . . . . . . . . . 2893--2914
               Yupeng Jiang and   
                    Yingpu Deng   Strong pseudoprimes to the first eight
                                  prime bases  . . . . . . . . . . . . . . 2915--2924
               David Corwin and   
                  Tony Feng and   
                Zane Kun Li and   
             Sarah Trebat-Leder   Elliptic curves with full $2$-torsion
                                  and maximal adelic Galois
                                  representations  . . . . . . . . . . . . 2925--2951
       Domingo Gómez and   
                Jaime Gutierrez   Recovering zeros of polynomials modulo a
                                  prime  . . . . . . . . . . . . . . . . . 2953--2965
            Romeo Me\vstrovi\'c   A search for primes $p$ such that the
                                  Euler number $ E_{p - 3}$ is divisible
                                  by $p$ . . . . . . . . . . . . . . . . . 2967--2976
        Reinier Bröker and   
                 Kristin Lauter   Evaluating Igusa functions . . . . . . . 2977--2999
                   San Ling and   
              Enver Ozdemir and   
                  Chaoping Xing   A relation between embedding degrees and
                                  class numbers of binary quadratic forms  3001--3004
              Josef Schicho and   
                  David Sevilla   Tschirnhaus--Weierstrass curves  . . . . 3005--3015
            Wouter Castryck and   
           Robert Laterveer and   
              Myriam Ouna\"\ies   Constraints on counterexamples to the
                                  Casas--Alvero conjecture and a
                                  verification in degree $ 12 $  . . . . . 3017--3037
              Jay Jorgenson and   
          Lejla Smajlovi\'c and   
                    Holger Then   On the distribution of eigenvalues of
                                  Maass forms on certain moonshine groups  3039--3070
                Edgar Costa and   
             Robert Gerbicz and   
                   David Harvey   A search for Wilson primes . . . . . . . 3071--3091


Mathematics of Computation
Volume 84, Number 291, 2015

       Daniele A. Di Pietro and   
                  Simon Lemaire   An extension of the Crouzeix--Raviart
                                  space to general meshes with application
                                  to quasi-incompressible linear
                                  elasticity and Stokes flow . . . . . . . 1--31
                Thomas Apel and   
         Johannes Pfefferer and   
                Arnd Rösch   Finite element error estimates on the
                                  boundary with application to optimal
                                  control  . . . . . . . . . . . . . . . . 33--70
                    Qun Lin and   
                       Hehu Xie   A multi-level correction scheme for
                                  eigenvalue problems  . . . . . . . . . . 71--88
                    Weiming Cao   Superconvergence analysis of the linear
                                  finite element method and a gradient
                                  recovery postprocessing on anisotropic
                                  meshes . . . . . . . . . . . . . . . . . 89--117
          Vincent Lescarret and   
                 Enrique Zuazua   Numerical approximation schemes for
                                  multi-dimensional wave equations in
                                  asymmetric spaces  . . . . . . . . . . . 119--152
       Daniele A. Di Pietro and   
     Martin Vohralík and   
                Soleiman Yousef   Adaptive regularization, linearization,
                                  and discretization and a posteriori
                                  error control for the two-phase Stefan
                                  problem  . . . . . . . . . . . . . . . . 153--186
                Yannan Chen and   
                      Wenyu Sun   A dwindling filter line search method
                                  for unconstrained optimization . . . . . 187--208
                   Yi Zhang and   
                Liwei Zhang and   
                     Jia Wu and   
                Jianzhong Zhang   A perturbation approach for an inverse
                                  quadratic programming problem over
                                  second-order cones . . . . . . . . . . . 209--236
                 Ben Adcock and   
               Anders C. Hansen   Generalized sampling and the stable and
                                  accurate reconstruction of piecewise
                                  analytic functions from their Fourier
                                  coefficients . . . . . . . . . . . . . . 237--270
                 Jingwei Hu and   
                    Lexing Ying   A fast algorithm for the energy space
                                  boson Boltzmann collision operator . . . 271--288
                  Benjamin Hutz   Determination of all rational
                                  preperiodic points for morphisms of PN   289--308
                Zhenxiang Zhang   Estimating the counts of Carmichael and
                                  Williams numbers with small multiple
                                  seeds  . . . . . . . . . . . . . . . . . 309--337
                 Minkyu Kim and   
                 Jung Hee Cheon   Computing prime divisors in an interval  339--354
             David Loeffler and   
                Jared Weinstein   Erratum: ``On the computation of local
                                  components of a newform''  . . . . . . . 355--356
              Karim Belabas and   
               Eduardo Friedman   Computing the residue of the Dedekind
                                  zeta function  . . . . . . . . . . . . . 357--369
Frédéric Pitoun and   
                Firmin Varescon   Computing the torsion of the
                                  $p$-ramified module of a number field    371--383
           Francesco Pappalardi   Divisibility of reduction in groups of
                                  rational numbers . . . . . . . . . . . . 385--407
                   Gary Greaves   Small-span Hermitian matrices over
                                  quadratic integer rings  . . . . . . . . 409--424
      Michael O. Rubinstein and   
             Shuntaro Yamagishi   Computing the moment polynomials of the
                                  zeta function  . . . . . . . . . . . . . 425--454
          Thorsten Theobald and   
                  Timo de Wolff   Approximating amoebas and coamoebas by
                                  sums of squares  . . . . . . . . . . . . 455--473
              Fredrik Johansson   A fast algorithm for reversion of power
                                  series . . . . . . . . . . . . . . . . . 475--484
              Michael Cuntz and   
                Christian Stump   On root posets for noncrystallographic
                                  root systems . . . . . . . . . . . . . . 485--503
José María Grau and   
Antonio M. Oller-Marcén and   
                Daniel Sadornil   A primality test for $ K p^n + 1 $
                                  numbers  . . . . . . . . . . . . . . . . 505--512

Mathematics of Computation
Volume 84, Number 292, 2015

           Christian Lubich and   
                   Dhia Mansour   Variational discretization of wave
                                  equations on evolving surfaces . . . . . 513--542
                  Jichun Li and   
              Yunqing Huang and   
                       Wei Yang   Well-posedness study and finite element
                                  simulation of time-domain cylindrical
                                  and elliptical cloaks  . . . . . . . . . 543--562
                     Jun Hu and   
                 Shangyou Zhang   The minimal conforming $ H^k $ finite
                                  element spaces on $ R^n $ rectangular
                                  grids  . . . . . . . . . . . . . . . . . 563--579
              Norbert Heuer and   
         Francisco-Javier Sayas   Analysis of a non-symmetric coupling of
                                  Interior Penalty DG and BEM  . . . . . . 581--598
             Zhongying Chen and   
                Yuesheng Xu and   
                 Yuanyuan Zhang   A construction of higher-order finite
                                  volume methods . . . . . . . . . . . . . 599--628
                     Kohei Soga   Stochastic and variational approach to
                                  the Lax--Friedrichs scheme . . . . . . . 629--651
              Zhonghua Qiao and   
              Zhi-zhong Sun and   
                  Zhengru Zhang   Stability and convergence of
                                  second-order schemes for the nonlinear
                                  epitaxial growth model without slope
                                  selection  . . . . . . . . . . . . . . . 653--674
             Oscar Gonzalez and   
                         Jun Li   A convergence theorem for a class of
                                  Nyström methods for weakly singular
                                  integral equations on surfaces in $
                                  \mathbb {R}^3 $  . . . . . . . . . . . . 675--714
                   Simai He and   
                 Zhening Li and   
                 Shuzhong Zhang   Inhomogeneous polynomial optimization
                                  over a convex set: an approximation
                                  approach . . . . . . . . . . . . . . . . 715--741
               Martin Sauer and   
                Wilhelm Stannat   Lattice approximation for stochastic
                                  reaction diffusion equations with
                                  one-sided Lipschitz condition  . . . . . 743--766
                        Bin Han   Algorithm for constructing symmetric
                                  dual framelet filter banks . . . . . . . 767--801
              Luis M. Navas and   
          Francisco J. Ruiz and   
                 Juan L. Varona   Some functional relations derived from
                                  the Lindelöf--Wirtinger expansion of the
                                  Lerch transcendent function  . . . . . . 803--813
              I. K. Argyros and   
     M. A. Hernández and   
                  S. Hilout and   
                      N. Romero   Directional Chebyshev-type methods for
                                  solving equations  . . . . . . . . . . . 815--830
  Xavier-François Roblot   Computing $p$-adic $L$-functions of
                                  totally real number fields . . . . . . . 831--874
             Xavier Guitart and   
                    Marc Masdeu   Elementary matrix decomposition and the
                                  computation of Darmon points with higher
                                  conductor  . . . . . . . . . . . . . . . 875--893
              J. E. Cremona and   
               T. A. Fisher and   
                  C. O'Neil and   
                   D. Simon and   
                       M. Stoll   Explicit $n$-descent on elliptic curves
                                  III. Algorithms  . . . . . . . . . . . . 895--922
   Jennifer S. Balakrishnan and   
    Mirela Çiperiani and   
                  William Stein   $p$-adic heights of Heegner points and $
                                  \Lambda $-adic regulators  . . . . . . . 923--954
         Cornelius Greither and   
Xavier-François Roblot and   
              Brett A. Tangedal   Corrigendum to ``The Brumer--Stark
                                  conjecture in some families of
                                  extensions of specified degree'' . . . . 955--957
               Roberto La Scala   Gröbner bases and gradings for partial
                                  difference ideals  . . . . . . . . . . . 959--985
           Alexei Myasnikov and   
            Andrey Nikolaev and   
              Alexander Ushakov   Knapsack problems in groups  . . . . . . 987--1016

Mathematics of Computation
Volume 84, Number 293, 2015

         Susanne C. Brenner and   
                   Li-Yeng Sung   Piecewise $ \mathbf {H}^1 $ functions
                                  and vector fields associated with meshes
                                  generated by independent refinements . . 1017--1036
          J. Gopalakrishnan and   
                      F. Li and   
               N.-C. Nguyen and   
                     J. Peraire   Spectral approximations by the HDG
                                  method . . . . . . . . . . . . . . . . . 1037--1059
         Carsten Carstensen and   
           Dietmar Gallistl and   
               Mira Schedensack   Adaptive nonconforming Crouzeix--Raviart
                                  FEM for eigenvalue problems  . . . . . . 1061--1087
               Franz Chouly and   
               Patrick Hild and   
                    Yves Renard   Symmetric and non-symmetric variants of
                                  Nitsche's method for contact problems in
                                  elasticity: theory and numerical
                                  experiments  . . . . . . . . . . . . . . 1089--1112
                   Hengguang Li   Regularity and multigrid analysis for
                                  Laplace-type axisymmetric equations  . . 1113--1144
        Ohannes Karakashian and   
         Charalambos Makridakis   A posteriori error estimates for
                                  discontinuous Galerkin methods for the
                                  generalized Korteweg--de Vries equation  1145--1167
                      Zhilin Li   On convergence of the immersed boundary
                                  method for elliptic interface problems   1169--1188
            Tomoaki Okayama and   
            Takayasu Matsuo and   
               Masaaki Sugihara   Theoretical analysis of Sinc--Nyström
                                  methods for Volterra integral equations  1189--1215
             Sören Bartels   Error control and adaptivity for a
                                  variational model problem defined on
                                  functions of bounded variation . . . . . 1217--1240
            Laurent Demaret and   
                     Armin Iske   Optimal $N$-term approximation by linear
                                  splines over anisotropic Delaunay
                                  triangulations . . . . . . . . . . . . . 1241--1264
               Peter Franek and   
                Stefan Ratschan   Effective topological degree computation
                                  based on interval arithmetic . . . . . . 1265--1290
         M. Lopez-Fernandez and   
                      S. Sauter   Fast and stable contour integration for
                                  high order divided differences via
                                  elliptic functions . . . . . . . . . . . 1291--1315
                  J. Morais and   
                I. Caçao   Quaternion Zernike spherical polynomials 1317--1337
                Laura Faber and   
                  Habiba Kadiri   New bounds for $ \psi (x) $  . . . . . . 1339--1357
          Olivier Ramaré   Explicit estimates on several summatory
                                  functions involving the Moebius function 1359--1387
            Fintan Costello and   
                     Paul Watts   An upper bound on Jacobsthal's function  1389--1399
                  Cris Poor and   
                  David S. Yuen   Paramodular cusp forms . . . . . . . . . 1401--1438
                 T. S. Trudgian   An improved upper bound for the error in
                                  the zero-counting formulae for Dirichlet
                                  $L$-functions and Dedekind
                                  zeta-functions . . . . . . . . . . . . . 1439--1450
               Oliver Braun and   
              Renaud Coulangeon   Perfect lattices over imaginary
                                  quadratic number fields  . . . . . . . . 1451--1467
              Jinxiang Zeng and   
                   Linsheng Yin   On the computation of coefficients of
                                  modular forms: the reduction modulo $p$
                                  approach . . . . . . . . . . . . . . . . 1469--1488
                 E. Jespers and   
             S. O. Juriaans and   
                  A. Kiefer and   
            A. de A.e Silva and   
              A. C. Souza Filho   From the Poincaré Theorem to generators
                                  of the unit group of integral group
                                  rings of finite groups . . . . . . . . . 1489--1520
                 David J. Platt   Computing $ \pi (x) $ analytically . . . 1521--1535

Mathematics of Computation
Volume 84, Number 294, 2015

                Omar Lakkis and   
     Charalambos Makridakis and   
                  Tristan Pryer   A comparison of duality and energy a
                                  posteriori estimates for $ L_\infty (0,
                                  T; L_2 (\varOmega)) $ in parabolic
                                  problems . . . . . . . . . . . . . . . . 1537--1569
         D. C. Antonopoulou and   
               G. D. Karali and   
             M. Plexousakis and   
                 G. E. Zouraris   Crank--Nicolson finite element
                                  discretizations for a two-dimensional
                                  linear Schrödinger-type equation posed in
                                  a noncylindrical domain  . . . . . . . . 1571--1598
Virginie Bonnaillie-Noël and   
              Marc Dambrine and   
Frédéric Hérau and   
            Grégory Vial   Artificial conditions for the linear
                                  elasticity equations . . . . . . . . . . 1599--1632
             Liviu I. Ignat and   
             Alejandro Pozo and   
                 Enrique Zuazua   Large-time asymptotics, vanishing
                                  viscosity and numerics for $1$-D scalar
                                  conservation laws  . . . . . . . . . . . 1633--1662
            Benjamin Boutin and   
Frédéric Coquel and   
            Philippe G. LeFloch   Coupling techniques for nonlinear
                                  hyperbolic equations. IV. Well-balanced
                                  schemes for scalar multi-dimensional and
                                  multi-component laws . . . . . . . . . . 1663--1702
                 WenYi Tian and   
                   Han Zhou and   
                    Weihua Deng   A class of second order difference
                                  approximations for solving space
                                  fractional diffusion equations . . . . . 1703--1727
                Y.-M. Chung and   
                    M. S. Jolly   A unified approach to compute
                                  foliations, inertial manifolds, and
                                  tracking solutions . . . . . . . . . . . 1729--1751
           Daniela Calvetti and   
            Erkki Somersalo and   
                    Ruben Spies   Variable order smoothness priors for
                                  ill-posed inverse problems . . . . . . . 1753--1773
               Ming-Jun Lai and   
                       Yang Liu   The probabilistic estimates on the
                                  largest and smallest $q$-singular values
                                  of random matrices . . . . . . . . . . . 1775--1794
         Tom H. Koornwinder and   
               Stefan A. Sauter   The intersection of bivariate orthogonal
                                  polynomials on triangle patches  . . . . 1795--1812
              Jurgen A. Doornik   Numerical evaluation of the Gauss
                                  hypergeometric function by power
                                  summations . . . . . . . . . . . . . . . 1813--1833
           Can Evren Yarman and   
                Garret M. Flagg   Generalization of Padé approximation from
                                  rational functions to arbitrary analytic
                                  functions --- Theory . . . . . . . . . . 1835--1860
                Amir Akbary and   
                Keilan Scholten   Artin prime producing polynomials  . . . 1861--1882
               Wai Kiu Chan and   
María Inés Icaza and   
               Emilio A. Lauret   A generalized Hermite constant for
                                  imaginary quadratic fields . . . . . . . 1883--1900
                Amir Akbary and   
                  Kyle Hambrook   A variant of the Bombieri--Vinogradov
                                  theorem with explicit constants and
                                  applications . . . . . . . . . . . . . . 1901--1932
                    Henri Cohen   Exact counting of $ D_\ell $ number
                                  fields with given quadratic resolvent    1933--1951
              Romain Cosset and   
                  Damien Robert   Computing $ (\ell, \ell)$-isogenies in
                                  polynomial time on Jacobians of genus
                                  $2$ curves . . . . . . . . . . . . . . . 1953--1975
                  Gaetan Bisson   Computing endomorphism rings of abelian
                                  varieties of dimension two . . . . . . . 1977--1989
S. Pérez-Díaz and   
               J. R. Sendra and   
                   C. Villarino   Computing the singularities of rational
                                  surfaces . . . . . . . . . . . . . . . . 1991--2021
             Julia Pieltant and   
                Hugues Randriam   New uniform and asymptotic upper bounds
                                  on the tensor rank of multiplication in
                                  extensions of finite fields  . . . . . . 2023--2045
                 D. G. Best and   
                 T. S. Trudgian   Linear relations of zeroes of the
                                  zeta-function  . . . . . . . . . . . . . 2047--2058

Mathematics of Computation
Volume 84, Number 295, 2015

                 Michael Neilan   Discrete and conforming smooth de Rham
                                  complexes in three dimensions  . . . . . 2059--2081
              Andrea Bonito and   
              Joseph E. Pasciak   Numerical approximation of fractional
                                  powers of elliptic operators . . . . . . 2083--2110
         Carsten Carstensen and   
                 Georg Dolzmann   Convergence of adaptive finite element
                                  methods for a nonconvex double-well
                                  minimization problem . . . . . . . . . . 2111--2135
              Andrea Bonito and   
                   Denis Devaud   Adaptive finite element methods for the
                                  Stokes problem with discontinuous
                                  viscosity  . . . . . . . . . . . . . . . 2137--2162
     Emmanuil H. Georgoulis and   
               Juha M. Virtanen   Adaptive discontinuous Galerkin
                                  approximations to fourth order parabolic
                                  problems . . . . . . . . . . . . . . . . 2163--2190
             James H. Adler and   
                  Victor Nistor   Graded mesh approximation in weighted
                                  Sobolev spaces and elliptic equations in
                                  $2$D . . . . . . . . . . . . . . . . . . 2191--2220
          Florent Berthelin and   
             Thierry Goudon and   
             Sebastian Minjeaud   Kinetic schemes on staggered grids for
                                  barotropic Euler models:
                                  entropy--stability analysis  . . . . . . 2221--2262
                   Hailiang Liu   Optimal error estimates of the direct
                                  discontinuous Galerkin method for
                                  convection-diffusion equations . . . . . 2263--2295
              Gersende Fort and   
          Benjamin Jourdain and   
               Estelle Kuhn and   
       Tony Leliévre and   
                 Gabriel Stoltz   Convergence of the Wang--Landau
                                  algorithm  . . . . . . . . . . . . . . . 2297--2327
                Dmitry Batenkov   Complete algebraic reconstruction of
                                  piecewise-smooth functions from Fourier
                                  data . . . . . . . . . . . . . . . . . . 2329--2350
           Richard P. Brent and   
              Fredrik Johansson   A bound for the error term in the
                                  Brent--McMillan algorithm  . . . . . . . 2351--2359
                     Aurel Page   Computing arithmetic Kleinian groups . . 2361--2390
           Youness Lamzouri and   
                 Xiannan Li and   
           Kannan Soundararajan   Conditional bounds for the least
                                  quadratic non-residue and related
                                  problems . . . . . . . . . . . . . . . . 2391--2412
                 Jan Büthe   A method for proving the completeness of
                                  a list of zeros of certain $L$-functions 2413--2431
            Yannick Saouter and   
           Timothy Trudgian and   
               Patrick Demichel   A still sharper region where $ \pi (x) -
                                  {\rm li}(x) $ is positive  . . . . . . . 2433--2446
                    Shi Bai and   
           Richard P. Brent and   
          Emmanuel Thomé   Root optimization of polynomials in the
                                  number field sieve . . . . . . . . . . . 2447--2457
                 John C. Miller   Real cyclotomic fields of prime
                                  conductor and their class numbers  . . . 2459--2469
                 Paul D. Nelson   Evaluating modular forms on Shimura
                                  curves . . . . . . . . . . . . . . . . . 2471--2503
               Henri Darmon and   
               Michael Daub and   
           Sam Lichtenstein and   
                  Victor Rotger   Algorithms for Chow--Heegner points via
                                  iterated integrals . . . . . . . . . . . 2505--2547
                Pace P. Nielsen   Odd perfect numbers, Diophantine
                                  equations, and upper bounds  . . . . . . 2549--2567

Mathematics of Computation
Volume 84, Number 296, 2015

         Sören Bartels and   
        Ricardo H. Nochetto and   
               Abner J. Salgado   A total variation diminishing
                                  interpolation operator and applications  2569--2587
              Ralf Hiptmair and   
       Carlos Jerez-Hanckes and   
                    Shipeng Mao   Extension by zero in discrete trace
                                  spaces: Inverse estimates  . . . . . . . 2589--2615
           Klaus Deckelnick and   
                 Jakob Katz and   
            Friedhelm Schieweck   A $ C^1 $-finite element method for the
                                  Willmore flow of two-dimensional graphs  2617--2643
                  Yifeng Xu and   
                        Jun Zou   Convergence of an adaptive finite
                                  element method for distributed flux
                                  reconstruction . . . . . . . . . . . . . 2645--2663
                 Bangti Jin and   
            Raytcho Lazarov and   
             Joseph Pasciak and   
                William Rundell   Variational formulation of problems
                                  involving fractional order differential
                                  operators  . . . . . . . . . . . . . . . 2665--2700
                 Xiaozhe Hu and   
                Xiaoliang Cheng   Corrigendum to: ``Acceleration of a
                                  two-grid method for eigenvalue
                                  problems'' . . . . . . . . . . . . . . . 2701--2704
               Franck Boyer and   
               Stella Krell and   
                    Flore Nabet   Inf-Sup stability of the discrete
                                  duality finite volume method for the
                                  $2$D Stokes problem  . . . . . . . . . . 2705--2742
             Sigal Gottlieb and   
              Zachary Grant and   
                   Daniel Higgs   Optimal explicit strong stability
                                  preserving Runge--Kutta methods with
                                  high linear order and optimal nonlinear
                                  order  . . . . . . . . . . . . . . . . . 2743--2761
                 Luca Dieci and   
            Alessandro Pugliese   Hermitian matrices of three parameters:
                                  perturbing coalescing eigenvalues and a
                                  numerical method . . . . . . . . . . . . 2763--2790
             Farzin Barekat and   
                  Stanley Osher   A time continuation based fast
                                  approximate algorithm for compressed
                                  sensing related optimization . . . . . . 2791--2822
               Lok Ming Lui and   
                Xianfeng Gu and   
                 Shing-Tung Yau   Convergence of an iterative algorithm
                                  for Teichmüller maps via harmonic energy
                                  optimization . . . . . . . . . . . . . . 2823--2842
            Sotirios E. Notaris   The error norm of Gauss--Radau
                                  quadrature formulae for
                                  Bernstein--Szeg\Ho weight functions  . . 2843--2865
              John R. Doyle and   
                    David Krumm   Computing algebraic numbers of bounded
                                  height . . . . . . . . . . . . . . . . . 2867--2891
                   Nathan McNew   On sets of integers which contain no
                                  three terms in geometric progression . . 2893--2910
                   A. Kuznetsov   Computing the truncated theta function
                                  via Mordell integral . . . . . . . . . . 2911--2926
                V. Flammang and   
                        G. Rhin   On the absolute Mahler measure of
                                  polynomials having all zeros in a
                                  sector. III  . . . . . . . . . . . . . . 2927--2938
     Verónica Becher and   
         Pablo Ariel Heiber and   
             Theodore A. Slaman   A computable absolutely normal Liouville
                                  number . . . . . . . . . . . . . . . . . 2939--2952
                 Zubeyir Cinkir   Computation of polarized metrized graph
                                  invariants by using discrete Laplacian
                                  matrix . . . . . . . . . . . . . . . . . 2953--2967
              Jean Bourgain and   
         Sergei V. Konyagin and   
            Igor E. Shparlinski   Character sums and deterministic
                                  polynomial root finding in finite fields 2969--2977
           Stephen D. Cohen and   
Tomás Oliveira e Silva and   
                   Tim Trudgian   A proof of the conjecture of Cohen and
                                  Mullen on sums of primitive roots  . . . 2979--2986
              Razvan Barbulescu   Selecting polynomials for the Function
                                  Field Sieve  . . . . . . . . . . . . . . 2987--3012
            Janko Böhm and   
             Wolfram Decker and   
               Claus Fieker and   
                Gerhard Pfister   The use of bad primes in rational
                                  reconstruction . . . . . . . . . . . . . 3013--3027
               Meinolf Geck and   
                    Abbie Halls   On the Kazhdan--Lusztig cells in type $
                                  E_8 $  . . . . . . . . . . . . . . . . . 3029--3049
              Petteri Kaski and   
Patric R. J. Östergård and   
                 Alexandru Popa   Enumeration of Steiner triple systems
                                  with subsystems  . . . . . . . . . . . . 3051--3067
                  Eric Bach and   
                 Andrew Shallue   Counting composites with two strong
                                  liars  . . . . . . . . . . . . . . . . . 3069--3089


Mathematics of Computation
Volume 85, Number 297, 2016

          Gabriel N. Gatica and   
         Ricardo Ruiz-Baier and   
                Giordano Tierra   A mixed finite element method for
                                  Darcy's equations with pressure
                                  dependent porosity . . . . . . . . . . . 1--33
             Claus R. Goetz and   
                     Armin Iske   Approximate solutions of generalized
                                  Riemann problems for nonlinear systems
                                  of hyperbolic conservation laws  . . . . 35--62
               Waixiang Cao and   
                   Zhimin Zhang   Superconvergence of Local Discontinuous
                                  Galerkin methods for one-dimensional
                                  linear parabolic equations . . . . . . . 63--84
             Anne Bouillard and   
                 Erwan Faou and   
             Maxime Zavidovique   Fast weak-KAM integrators for separable
                                  Hamiltonian systems  . . . . . . . . . . 85--117
           Markus Faustmann and   
         Jens Markus Melenk and   
                Dirk Praetorius   Existence of $ \mathcal {H}$-matrix
                                  approximants to the inverses of BEM
                                  matrices: The simple-layer operator  . . 119--152
                     Ji Liu and   
              Stephen J. Wright   An accelerated randomized Kaczmarz
                                  algorithm  . . . . . . . . . . . . . . . 153--178
            Michael Moeller and   
                  Xiaoqun Zhang   Fast sparse reconstruction: Greedy
                                  inverse scale space flows  . . . . . . . 179--208
            Laurent Demanet and   
               Xiangxiong Zhang   Eventual linear convergence of the
                                  Douglas--Rachford iteration for basis
                                  pursuit  . . . . . . . . . . . . . . . . 209--238
                 Zhitao Fan and   
                     Hui Ji and   
                    Zuowei Shen   Dual Gramian analysis: Duality principle
                                  and unitary extension principle  . . . . 239--270
               Yun-Qiu Shen and   
               Tjalling J. Ypma   Rank deficiencies and bifurcation into
                                  affine subspaces for separable
                                  parameterized equations  . . . . . . . . 271--293
               D. H. Bailey and   
                  J. M. Borwein   Computation and structure of character
                                  polylogarithms with applications to
                                  character Mordell--Tornheim--Witten sums 295--324
               O. Ramaré   An explicit density estimate for
                                  Dirichlet $L$-series . . . . . . . . . . 325--356
          Javier Cilleruelo and   
               Florian Luca and   
       Amalia Pizarro-Madariaga   Carmichael numbers in the sequence $
                                  (2^n k + 1)_{n \geq 1} $ . . . . . . . . 357--377
             Catalina V. Anghel   The self-power map and collecting all
                                  residue classes  . . . . . . . . . . . . 379--399
       Tomá\vs Hejda and   
         Edita Pelantová   Spectral properties of cubic complex
                                  Pisot units  . . . . . . . . . . . . . . 401--421
                    David Krumm   Computing points of bounded height in
                                  projective space over a number field . . 423--447
                Shuhong Gao and   
             Frank Volny IV and   
                 Mingsheng Wang   A new framework for computing Gröbner
                                  bases  . . . . . . . . . . . . . . . . . 449--465
         Jürgen Hausen and   
              Simon Keicher and   
                 Antonio Laface   Computing Cox rings  . . . . . . . . . . 467--502
      Noah Lebowitz-Lockard and   
                 Carl Pomerance   Generating random factored Gaussian
                                  integers, easily . . . . . . . . . . . . 503--516

Mathematics of Computation
Volume 85, Number 298, 2016

     Snorre H. Christiansen and   
              Francesca Rapetti   On high order finite element spaces of
                                  differential forms . . . . . . . . . . . 517--548
    Clément Canc\`es and   
                 Cindy Guichard   Convergence of a nonlinear entropy
                                  diminishing Control Volume Finite
                                  Element scheme for solving anisotropic
                                  degenerate parabolic equations . . . . . 549--580
               J. L. Gracia and   
                   E. O'Riordan   Numerical approximation of solution
                                  derivatives of singularly perturbed
                                  parabolic problems of
                                  convection-diffusion type  . . . . . . . 581--599
             Debora Amadori and   
                  Laurent Gosse   Error estimates for well-balanced and
                                  time-split schemes on a locally damped
                                  wave equation  . . . . . . . . . . . . . 601--633
            Wang Zhong-qing and   
                Sheng Chang-tao   An $ h p$-spectral collocation method
                                  for nonlinear Volterra integral
                                  equations with vanishing variable delays 635--666
                    N. S. Hoang   On node distributions for interpolation
                                  and spectral methods . . . . . . . . . . 667--692
              Todor Bilarev and   
           Magnus Aspenberg and   
               Dierk Schleicher   On the speed of convergence of Newton's
                                  method for complex polynomials . . . . . 693--705
                      A. Melman   On Pellet's Theorem for a class of
                                  lacunary polynomials . . . . . . . . . . 707--716
              V. I. Korobov and   
              A. N. Bugaevskaya   Almost power sum systems . . . . . . . . 717--736
                  Hoi H. Nguyen   On a condition number of general random
                                  polynomial systems . . . . . . . . . . . 737--757
          Johan de Villiers and   
       Mpfareleni Rejoyce Gavhi   Local interpolation with optimal
                                  polynomial exactness in refinement
                                  spaces . . . . . . . . . . . . . . . . . 759--782
                     Igor Rivin   How to pick a random integer matrix?
                                  (and other questions)  . . . . . . . . . 783--797
                Judith Egan and   
                 Ian M. Wanless   Enumeration of MOLS of small order . . . 799--824
         William Y. C. Chen and   
           Larry X. W. Wang and   
                 Gary Y. B. Xie   Finite differences of the logarithm of
                                  the partition function . . . . . . . . . 825--847
Csanád Bertók and   
                    Lajos Hajdu   A Hasse-type principle for exponential
                                  Diophantine equations and its
                                  applications . . . . . . . . . . . . . . 849--860
                    Shi Bai and   
              Cyril Bouvier and   
           Alexander Kruppa and   
                Paul Zimmermann   Better polynomials for GNFS  . . . . . . 861--873
                  Pierre Dusart   Estimates of $ \psi, \theta $ for large
                                  values of $x$ without the Riemann
                                  hypothesis . . . . . . . . . . . . . . . 875--888
      Lo\"\ic Grenié and   
               Giuseppe Molteni   Explicit versions of the prime ideal
                                  theorem for Dedekind zeta functions
                                  under GRH  . . . . . . . . . . . . . . . 889--906
             Nathan C. Ryan and   
    Gonzalo Tornaría and   
with an appendix by Ralf Schmidt   Formulas for central values of twisted
                                  spin $L$-functions attached to
                                  paramodular forms  . . . . . . . . . . . 907--929
                    Martin Raum   Computing genus $1$ Jacobi forms . . . . 931--960
                    Jan Tuitman   Counting points on curves using a map to
                                  $ \mathbf {P}^1 $  . . . . . . . . . . . 961--981
   Jennifer S. Balakrishnan and   
     J. Steffen Müller and   
               William A. Stein   A $p$-adic analogue of the conjecture of
                                  Birch and Swinnerton-Dyer for modular
                                  abelian varieties  . . . . . . . . . . . 983--1016
                Ghaith A. Hiary   An alternative to Riemann--Siegel type
                                  formulas . . . . . . . . . . . . . . . . 1017--1032

Mathematics of Computation
Volume 85, Number 299, 2016

             Sören Bartels   Projection-free approximation of
                                  geometrically constrained partial
                                  differential equations . . . . . . . . . 1033--1049
      Dominik Schötzau and   
           Christoph Schwab and   
               Thomas P. Wihler   $ h p$-dGFEM for second-order mixed
                                  elliptic problems in polyhedra . . . . . 1051--1083
                  Juan G. Calvo   A BDDC algorithm with deluxe scaling for
                                  $ H(c u r l) $ in two dimensions with
                                  irregular subdomains . . . . . . . . . . 1085--1111
          Bernardo Cockburn and   
        Ricardo H. Nochetto and   
                    Wujun Zhang   Contraction property of adaptive
                                  hybridizable discontinuous Galerkin
                                  methods  . . . . . . . . . . . . . . . . 1113--1141
         D. C. Antonopoulos and   
                 V. A. Dougalis   Error estimates for the standard
                                  Galerkin-finite element method for the
                                  shallow water equations  . . . . . . . . 1143--1182
            Rodrigo Lecaros and   
                 Enrique Zuazua   Control of $2$D scalar conservation laws
                                  in the presence of shocks  . . . . . . . 1183--1224
                 Xiong Meng and   
               Chi-Wang Shu and   
                      Boying Wu   Optimal error estimates for
                                  discontinuous Galerkin methods based on
                                  upwind-biased fluxes for linear
                                  hyperbolic equations . . . . . . . . . . 1225--1261
                    Lili Hu and   
                     Yao Li and   
                    Yingjie Liu   A limiting strategy for the back and
                                  forth error compensation and correction
                                  method for solving advection equations   1263--1280
         Christophe Berthon and   
             Christophe Chalons   A fully well-balanced, positive and
                                  entropy-satisfying Godunov-type method
                                  for the shallow-water equations  . . . . 1281--1307
          Sebastian Kestler and   
             Kristina Steih and   
                  Karsten Urban   An efficient space-time adaptive wavelet
                                  Galerkin method for time-periodic
                                  parabolic partial differential equations 1309--1333
             Adam Andersson and   
                   Stig Larsson   Weak convergence for a spatial
                                  approximation of the nonlinear
                                  stochastic heat equation . . . . . . . . 1335--1358
             Emmanuel Gobet and   
              Plamen Turkedjiev   Linear regression MDP scheme for
                                  discrete backward stochastic
                                  differential equations under general
                                  conditions . . . . . . . . . . . . . . . 1359--1391
                Alin Bostan and   
          Guillaume Ch\`eze and   
             Thomas Cluzeau and   
            Jacques-Arthur Weil   Efficient algorithms for computing
                                  rational first integrals and Darboux
                                  polynomials of planar polynomial vector
                                  fields . . . . . . . . . . . . . . . . . 1393--1425
              Allan Hungria and   
      Jean-Philippe Lessard and   
            J. D. Mireles James   Rigorous numerics for analytic solutions
                                  of differential equations: the radii
                                  polynomial approach  . . . . . . . . . . 1427--1459
       Alexander Abatzoglou and   
           Alice Silverberg and   
       Andrew V. Sutherland and   
                    Angela Wong   A framework for deterministic primality
                                  proving using elliptic curves with
                                  complex multiplication . . . . . . . . . 1461--1483
                   Daeyeol Jeon   Families of elliptic curves over cyclic
                                  cubic number fields with prescribed
                                  torsion  . . . . . . . . . . . . . . . . 1485--1502
      Lo\"\ic Grenié and   
               Giuseppe Molteni   Zeros of Dedekind zeta functions under
                                  GRH  . . . . . . . . . . . . . . . . . . 1503--1522
                 Long Zhang and   
                      Kejian Xu   The tame kernel of $ \mathbb
                                  {Q}(\zeta_5) $ is trivial  . . . . . . . 1523--1538
                D. J. Platt and   
                 T. S. Trudgian   On the first sign change of $ \theta (x)
                                  - x $  . . . . . . . . . . . . . . . . . 1539--1547

Mathematics of Computation
Volume 85, Number 300, July, 2016

        Maxim A. Olshanskii and   
                    Danil Safin   A narrow-band unfitted finite element
                                  method for elliptic PDEs posed on
                                  surfaces . . . . . . . . . . . . . . . . 1549--1570
            Vivien Desveaux and   
                Markus Zenk and   
         Christophe Berthon and   
          Christian Klingenberg   Well-balanced schemes to capture
                                  non-explicit steady states: Ripa model   1571--1602
                 Sheng Chen and   
                   Jie Shen and   
                   Li-Lian Wang   Generalized Jacobi functions and their
                                  applications to fractional differential
                                  equations  . . . . . . . . . . . . . . . 1603--1638
            Marco Donatelli and   
               Carlo Garoni and   
                Carla Manni and   
    Stefano Serra-Capizzano and   
               Hendrik Speleers   Spectral analysis and spectral symbol of
                                  matrices in isogeometric collocation
                                  methods  . . . . . . . . . . . . . . . . 1639--1680
                 Katy Craig and   
             Andrea L. Bertozzi   A blob method for the aggregation
                                  equation . . . . . . . . . . . . . . . . 1681--1717
                  Pierre Lairez   Computing periods of rational integrals  1719--1752
                   P. Boito and   
                Y. Eidelman and   
                   L. Gemignani   Implicit $ Q R $ for companion-like
                                  pencils  . . . . . . . . . . . . . . . . 1753--1774
          Nata\vsa Kreji\'c and   
          J. M. Martínez   Inexact Restoration approach for
                                  minimization with inexact evaluation of
                                  the objective function . . . . . . . . . 1775--1791
             Hoang-Long Ngo and   
                    Dai Taguchi   Strong rate of convergence for the
                                  Euler--Maruyama approximation of
                                  stochastic differential equations with
                                  irregular coefficients . . . . . . . . . 1793--1819
             Tor Sòrevik   Good low degree rank-$1$ lattice rules
                                  of high dimension  . . . . . . . . . . . 1821--1835
            C. F. Bracciali and   
               J. H. McCabe and   
         T. E. Pérez and   
                   A. Sri Ranga   A class of orthogonal functions given by
                                  a three term recurrence formula  . . . . 1837--1859
             Thorsten Kleinjung   Quadratic sieving  . . . . . . . . . . . 1861--1873
      Lo\"\ic Grenié and   
               Giuseppe Molteni   Explicit smoothed prime ideals theorems
                                  under GRH  . . . . . . . . . . . . . . . 1875--1899
        Reinier Bröker and   
                 Jeff Hoffstein   Fourier coefficients of sextic theta
                                  series . . . . . . . . . . . . . . . . . 1901--1927
               Dustin Moody and   
                  Daniel Shumow   Analogues of Vélu's formulas for
                                  isogenies on alternate models of
                                  elliptic curves  . . . . . . . . . . . . 1929--1951
       Jan Hendrik Bruinier and   
              Stephan Ehlen and   
               Eberhard Freitag   Lattices with many Borcherds products    1953--1981
              A. S. Mosunov and   
            M. J. Jacobson, Jr.   Unconditional class group tabulation of
                                  imaginary quadratic fields to $ | \Delta
                                  | < 2^{40} $  . . . . . . . . . . . . . . 1983--2009
            Reynald Lercier and   
    Christophe Ritzenthaler and   
                Jeroen Sijsling   Explicit Galois obstruction and descent
                                  for hyperelliptic curves with tamely
                                  cyclic reduced automorphism group  . . . 2011--2045
             S. D. Adhikari and   
                    L. Boza and   
                 S. Eliahou and   
         J. M. Marín and   
             M. P. Revuelta and   
                     M. I. Sanz   On the $n$-color Rado number for the
                                  equation $ x_1 + x_2 + \cdots + x_k + c
                                  = x_{k + 1}$ . . . . . . . . . . . . . . 2047--2064
                Ghaith A. Hiary   A deterministic algorithm for integer
                                  factorization  . . . . . . . . . . . . . 2065--2069

Mathematics of Computation
Volume 85, Number 301, September, 2016

       Johnny Guzmán and   
   Manuel A. Sánchez and   
                  Marcus Sarkis   On the accuracy of finite element
                                  approximations to a class of interface
                                  problems . . . . . . . . . . . . . . . . 2071--2098
              Alexandre Ern and   
            Friedhelm Schieweck   Discontinuous Galerkin method in time
                                  combined with a stabilized finite
                                  element method in space for linear
                                  first-order PDEs . . . . . . . . . . . . 2099--2129
         Olivier Bokanowski and   
               Yingda Cheng and   
                   Chi-Wang Shu   Convergence of discontinuous Galerkin
                                  schemes for front propagation with
                                  obstacles  . . . . . . . . . . . . . . . 2131--2159
                     Kohei Soga   More on stochastic and variational
                                  approach to the Lax--Friedrichs scheme   2161--2193
           Georgios Akrivis and   
         Emmanuil Katsoprinakis   Backward difference formulae: New
                                  multipliers and stability properties for
                                  parabolic equations  . . . . . . . . . . 2195--2216
               Georgios Akrivis   Stability properties of
                                  implicit--explicit multistep methods for
                                  a class of nonlinear parabolic equations 2217--2229
                Wenbin Chen and   
                   Yuan Liu and   
                 Cheng Wang and   
                 Steven M. Wise   Convergence analysis of a fully discrete
                                  finite difference scheme for the
                                  Cahn--Hilliard--Hele--Shaw equation  . . 2231--2257
        Ioan Florin Bugariu and   
                 Sorin Micu and   
                Ionel Roven\cta   Approximation of the controls for the
                                  beam equation with vanishing viscosity   2259--2303
Frédéric Coquel and   
           Edwige Godlewski and   
            Khalil Haddaoui and   
           Claude Marmignon and   
                  Florent Renac   Choice of measure source terms in
                                  interface coupling for a model problem
                                  in gas dynamics  . . . . . . . . . . . . 2305--2339
                 Tianyu Qiu and   
         Francisco-Javier Sayas   The Costabel--Stephan system of boundary
                                  integral equations in the time domain    2341--2364
      G. Murali Mohan Reddy and   
                 Rajen K. Sinha   On the Crank--Nicolson anisotropic a
                                  posteriori error analysis for parabolic
                                  integro-differential equations . . . . . 2365--2390
           Yuji Nakatsukasa and   
                 Vanni Noferini   On the stability of computing polynomial
                                  roots via confederate linearizations . . 2391--2425
   Froilán M. Dopico and   
     Javier González and   
            Daniel Kressner and   
              Valeria Simoncini   Projection methods for large-scale
                                  $T$-Sylvester equations  . . . . . . . . 2427--2455
               Martin Sauer and   
                Wilhelm Stannat   Analysis and approximation of stochastic
                                  nerve axon equations . . . . . . . . . . 2457--2481
                 Jan Büthe   Estimating $ \pi (x) $ and related
                                  functions under partial RH assumptions   2483--2498
                       Hao Chen   Computing the Mazur and Swinnerton-Dyer
                                  critical subgroup of elliptic curves . . 2499--2514
                 E. Jespers and   
                  A. Kiefer and   
       Á. del Río   Presentations of groups acting
                                  discontinuously on direct products of
                                  hyperbolic spaces  . . . . . . . . . . . 2515--2552
             Jean Fromentin and   
                 Florent Hivert   Exploring the tree of numerical
                                  semigroups . . . . . . . . . . . . . . . 2553--2568
           William D. Banks and   
            Igor E. Shparlinski   On Gauss sums and the evaluation of
                                  Stechkin's constant  . . . . . . . . . . 2569--2581

Mathematics of Computation
Volume 85, Number 302, November, 2016

                  Long Chen and   
        Ricardo H. Nochetto and   
     Enrique Otárola and   
               Abner J. Salgado   Multilevel methods for nonuniformly
                                  elliptic operators and fractional
                                  diffusion  . . . . . . . . . . . . . . . 2583--2607
          Bernardo Cockburn and   
                    Alan Demlow   Hybridizable discontinuous Galerkin and
                                  mixed finite element methods for
                                  elliptic problems on surfaces  . . . . . 2609--2638
             Mark Ainsworth and   
       Johnny Guzmán and   
         Francisco-Javier Sayas   Discrete extension operators for mixed
                                  finite element spaces on locally refined
                                  meshes . . . . . . . . . . . . . . . . . 2639--2650
        Martin Campos Pinto and   
        Eric Sonnendrücker   Gauss-compatible Galerkin schemes for
                                  time-dependent Maxwell equations . . . . 2651--2685
               Zhiming Chen and   
            Xueshuang Xiang and   
                  Xiaohui Zhang   Convergence of the PML method for
                                  elastic wave scattering problems . . . . 2687--2714
                Yanlai Chen and   
          Bernardo Cockburn and   
                        Bo Dong   Superconvergent HDG methods for linear,
                                  stationary, third-order equations in
                                  one-space dimension  . . . . . . . . . . 2715--2742
         Jean-David Benamou and   
            Francis Collino and   
            Jean-Marie Mirebeau   Monotone and consistent discretization
                                  of the Monge--Amp\`ere operator  . . . . 2743--2775
                  C. Bauzet and   
                J. Charrier and   
               T. Gallouët   Convergence of flux-splitting finite
                                  volume schemes for hyperbolic scalar
                                  conservation laws with a multiplicative
                                  stochastic perturbation  . . . . . . . . 2777--2813
           Emmanuel Audusse and   
    François Bouchut and   
       Marie-Odile Bristeau and   
           Jacques Sainte-Marie   Kinetic entropy inequality and
                                  hydrostatic reconstruction scheme for
                                  the Saint-Venant system  . . . . . . . . 2815--2837
               M. Bebendorf and   
          M. Bollhöfer and   
                     M. Bratsch   On the spectral equivalence of
                                  hierarchical matrix preconditioners for
                                  elliptic problems  . . . . . . . . . . . 2839--2861
          Philippe Chartier and   
      Florian Méhats and   
       Mechthild Thalhammer and   
                     Yong Zhang   Improved error estimates for splitting
                                  methods applied to highly-oscillatory
                                  nonlinear Schrödinger equations . . . . . 2863--2885
            Daniel B. Szyld and   
                        Fei Xue   Preconditioned eigensolvers for
                                  large-scale nonlinear Hermitian
                                  eigenproblems with variational
                                  characterizations. I. Extreme
                                  eigenvalues  . . . . . . . . . . . . . . 2887--2918
               Jingrun Chen and   
                    Jianfeng Lu   Analysis of the divide-and-conquer
                                  method for electronic structure
                                  calculations . . . . . . . . . . . . . . 2919--2938
                   N. Gould and   
                  C. Ortner and   
                    D. Packwood   A dimer-type saddle search algorithm
                                  with preconditioning and linesearch  . . 2939--2966
              Cormac O'Sullivan   Zeros of the dilogarithm . . . . . . . . 2967--2993
        Kalle Leppälä   Explicit lower bounds for linear forms   2995--3008
                 David J. Platt   Numerical computations concerning the
                                  GRH  . . . . . . . . . . . . . . . . . . 3009--3027
             Evelyne Hubert and   
                  George Labahn   Computation of invariants of finite
                                  abelian groups . . . . . . . . . . . . . 3029--3050
           Michaël Rao and   
             Matthieu Rosenfeld   Avoidability of long $k$-abelian
                                  repetitions  . . . . . . . . . . . . . . 3051--3060
         Vladica Andreji\'c and   
                Milos Tatarevic   Searching for a counterexample to
                                  Kurepa's conjecture  . . . . . . . . . . 3061--3068


Mathematics of Computation
Volume 86, Number 303, January, 2017

                 S. Nicaise and   
                     I. Merabet   A mixed discontinuous finite element
                                  method for folded Naghdi's shell in
                                  Cartesian coordinates  . . . . . . . . . 1--47
                   Hengguang Li   The $ W^1_p $ stability of the Ritz
                                  projection on graded meshes  . . . . . . 49--74
                    Erik Burman   A stabilized nonconforming finite
                                  element method for the elliptic Cauchy
                                  problem  . . . . . . . . . . . . . . . . 75--96
           Alessio Porretta and   
                 Enrique Zuazua   Numerical hypocoercivity for the
                                  Kolmogorov equation  . . . . . . . . . . 97--119
               Yingda Cheng and   
            Ching-Shan Chou and   
                 Fengyan Li and   
                    Yulong Xing   $ L^2 $ stable discontinuous Galerkin
                                  methods for one-dimensional two-way wave
                                  equations  . . . . . . . . . . . . . . . 121--155
              Nina Aguillon and   
Frédéric Lagouti\`ere and   
                 Nicolas Seguin   Convergence of finite volume schemes for
                                  the coupling between the inviscid
                                  Burgers equation and a particle  . . . . 157--196
       Francis J. Narcowich and   
            Stephen T. Rowe and   
                 Joseph D. Ward   A novel Galerkin method for solving PDES
                                  on the sphere using highly localized
                                  kernel bases . . . . . . . . . . . . . . 197--231
           Ronald D. Haynes and   
                     Felix Kwok   Discrete analysis of domain
                                  decomposition approaches for mesh
                                  generation via the equidistribution
                                  principle  . . . . . . . . . . . . . . . 233--273
                 Kanya Ishizaka   A solution to the energy minimization
                                  problem constrained by a density
                                  function . . . . . . . . . . . . . . . . 275--314
                Yu-Hong Dai and   
                  Deren Han and   
              Xiaoming Yuan and   
                  Wenxing Zhang   A sequential updating scheme of the
                                  Lagrange multiplier for separable convex
                                  programming  . . . . . . . . . . . . . . 315--343
                Tongke Wang and   
                Zhifang Liu and   
                   Zhiyue Zhang   The modified composite Gauss type rules
                                  for singular integrals using Puiseux
                                  expansions . . . . . . . . . . . . . . . 345--373
                   Nira Dyn and   
                     Nir Sharon   A global approach to the refinement of
                                  manifold data  . . . . . . . . . . . . . 375--395
          Razvan Barbulescu and   
                 Armand Lachand   Some mathematical remarks on the
                                  polynomial selection in NFS  . . . . . . 397--418
            Ali Kamalinejad and   
            Mehrdad Shahshahani   On computations with dessins d'enfants   419--436
     Julio Fernández and   
          Josep González   Functions and differentials on the
                                  non-split Cartan modular curve of level
                                  $ 11 $ . . . . . . . . . . . . . . . . . 437--454
               Bogdan Ichim and   
         Lukas Katthän and   
Julio José Moyano-Fernández   How to compute the Stanley depth of a
                                  module . . . . . . . . . . . . . . . . . 455--472
              Matteo Gallet and   
        Christoph Koutschan and   
                   Zijia Li and   
         Georg Regensburger and   
              Josef Schicho and   
               Nelly Villamizar   Planar linkages following a prescribed
                                  motion . . . . . . . . . . . . . . . . . 473--506

Mathematics of Computation
Volume 86, Number 304, 2017

        Ossi Niemimäki and   
                Stefan Kurz and   
                 Lauri Kettunen   Structure-preserving mesh coupling based
                                  on the Buffa--Christiansen complex . . . 507--524
              Diego Paredes and   
Frédéric Valentin and   
           Henrique M. Versieux   On the robustness of multiscale
                                  hybrid-mixed methods . . . . . . . . . . 525--548
              Assyr Abdulle and   
                Patrick Henning   Localized orthogonal decomposition
                                  method for the wave equation with a
                                  continuum of scales  . . . . . . . . . . 549--587
      Jessika Camaño and   
     Ricardo Oyarzúa and   
                Giordano Tierra   Analysis of an augmented mixed-FEM for
                                  the Navier--Stokes problem . . . . . . . 589--615
               Zhiqiang Cai and   
                   Cuiyu He and   
                     Shun Zhang   Residual-based a posteriori error
                                  estimate for interface problems:
                                  Nonconforming linear elements  . . . . . 617--636
           Martin J. Gander and   
                   Yingxiang Xu   Optimized Schwarz methods with
                                  nonoverlapping circular domain
                                  decomposition  . . . . . . . . . . . . . 637--660
              Holger Rauhut and   
               Christoph Schwab   Compressive sensing Petrov--Galerkin
                                  approximation of high-dimensional
                                  parametric operator equations  . . . . . 661--700
            Markus Bachmayr and   
                   Albert Cohen   Kolmogorov widths and low-rank
                                  approximations of parametric elliptic
                                  PDEs . . . . . . . . . . . . . . . . . . 701--724
               Jian-Guo Liu and   
                      Rong Yang   A random particle blob method for the
                                  Keller--Segel equation and convergence
                                  analysis . . . . . . . . . . . . . . . . 725--745
        Christopher Bresten and   
             Sigal Gottlieb and   
              Zachary Grant and   
               Daniel Higgs and   
         David I. Ketcheson and   
           Adrian Németh   Explicit strong stability preserving
                                  multistep Runge--Kutta methods . . . . . 747--769
           Helmut Harbrecht and   
             Michael Peters and   
            Markus Siebenmorgen   On the quasi-Monte Carlo method with
                                  Halton points for elliptic PDEs with
                                  log-normal diffusion . . . . . . . . . . 771--797
                 Raffaello Seri   Statistical properties of $b$-adic
                                  diaphonies . . . . . . . . . . . . . . . 799--828
             Frances Y. Kuo and   
               Ian H. Sloan and   
          Henryk Wo\'zniakowski   Multivariate integration for analytic
                                  functions with Gaussian kernels  . . . . 829--853
                Walter Gautschi   Monotonicity properties of the zeros of
                                  Freud and sub-range Freud polynomials:
                                  Analytic and empirical results . . . . . 855--864
                  Javier Segura   The Schwarzian--Newton method for
                                  solving nonlinear equations, with
                                  applications . . . . . . . . . . . . . . 865--879
    Claude-Pierre Jeannerod and   
             Peter Kornerup and   
             Nicolas Louvet and   
             Jean-Michel Muller   Error bounds on complex floating-point
                                  multiplication with an FMA . . . . . . . 881--898
           John B. Cosgrave and   
                   Karl Dilcher   A role for generalized Fermat numbers    899--933
         Art\=uras Dubickas and   
              Kevin G. Hare and   
               Jonas Jankauskas   No two non-real conjugates of a Pisot
                                  number have the same imaginary part  . . 935--950
               Makoto Araya and   
             Masaaki Harada and   
                       Sho Suda   Quasi-unbiased Hadamard matrices and
                                  weakly unbiased Hadamard matrices: a
                                  coding-theoretic approach  . . . . . . . 951--984
          Jonathan Sorenson and   
               Jonathan Webster   Strong pseudoprimes to twelve prime
                                  bases  . . . . . . . . . . . . . . . . . 985--1003

Mathematics of Computation
Volume 86, Number 305, 2017

               Daniel Peterseim   Eliminating the pollution effect in
                                  Helmholtz problems by local subscale
                                  correction . . . . . . . . . . . . . . . 1005--1036
            John W. Barrett and   
              Harald Garcke and   
           Robert Nürnberg   Finite element approximation for the
                                  dynamics of asymmetric fluidic
                                  biomembranes . . . . . . . . . . . . . . 1037--1069
                  Buyang Li and   
                     Weiwei Sun   Maximal $ L^p $ analysis of finite
                                  element solutions for parabolic
                                  equations with nonsmooth coefficients in
                                  convex polyhedra . . . . . . . . . . . . 1071--1102
          Sudipto Chowdhury and   
            Thirupathi Gudi and   
             A. K. Nandakumaran   Error bounds for a Dirichlet boundary
                                  control problem based on energy spaces   1103--1126
              D. Leykekhman and   
                      M. Pruitt   On the positivity of discrete harmonic
                                  functions and the discrete Harnack
                                  inequality for piecewise linear finite
                                  elements . . . . . . . . . . . . . . . . 1127--1145
            Christophe Buet and   
       Bruno Després and   
            Emmanuel Franck and   
                   Thomas Leroy   Proof of uniform convergence for a
                                  cell-centered AP discretization of the
                                  hyperbolic heat equation on general
                                  meshes . . . . . . . . . . . . . . . . . 1147--1202
      Christian Klingenberg and   
         Gero Schnücke and   
                     Yinhua Xia   Arbitrary Lagrangian--Eulerian
                                  discontinuous Galerkin method for
                                  conservation laws: Analysis and
                                  application in one dimension . . . . . . 1203--1232
                  Yao Cheng and   
                 Xiong Meng and   
                    Qiang Zhang   Application of generalized Gauss--Radau
                                  projections for the local discontinuous
                                  Galerkin method for linear
                                  convection-diffusion equations . . . . . 1233--1267
                     Qin Li and   
                Jianfeng Lu and   
                     Weiran Sun   Half-space kinetic equations with
                                  general boundary conditions  . . . . . . 1269--1301
           Alexandre Benoit and   
            Mioara Jolde\cs and   
                Marc Mezzarobba   Rigorous uniform approximation of
                                  $D$-finite functions using Chebyshev
                                  expansions . . . . . . . . . . . . . . . 1303--1341
               Carlo Garoni and   
                Carla Manni and   
    Stefano Serra-Capizzano and   
              Debora Sesana and   
               Hendrik Speleers   Spectral analysis and spectral symbol of
                                  matrices in isogeometric Galerkin
                                  methods  . . . . . . . . . . . . . . . . 1343--1373
         Michael A. Bennett and   
               Nicolas Billerey   Sums of two $S$-units via
                                  Frey--Hellegouarch curves  . . . . . . . 1375--1401
   Jennifer S. Balakrishnan and   
               Amnon Besser and   
         J. Steffen Müller   Computing integral points on
                                  hyperelliptic curves using quadratic
                                  Chabauty . . . . . . . . . . . . . . . . 1403--1434
                   Dohyeong Kim   A modular approach to cubic Thue--Mahler
                                  equations  . . . . . . . . . . . . . . . 1435--1471
             Joachim König   Computation of Hurwitz spaces and new
                                  explicit polynomials for almost simple
                                  Galois groups  . . . . . . . . . . . . . 1473--1498
          Vladimir Yu. Protasov   The Euler binary partition function and
                                  subdivision schemes  . . . . . . . . . . 1499--1524
         Fernando D. Gaspoz and   
                    Pedro Morin   Errata to ``Approximation classes for
                                  adaptive higher order finite element
                                  approximation''  . . . . . . . . . . . . 1525--1526

Mathematics of Computation
Volume 86, Number 306, 2017

           Georgios Akrivis and   
                  Buyang Li and   
               Christian Lubich   Combining maximal regularity and energy
                                  estimates for time discretizations of
                                  quasilinear parabolic equations  . . . . 1527--1552
                  Peipei Lu and   
              Huangxin Chen and   
                    Weifeng Qiu   An absolutely stable $ h p$-HDG method
                                  for the time-harmonic Maxwell equations
                                  with high wave number  . . . . . . . . . 1553--1577
                  Buyang Li and   
                   Zhimin Zhang   Mathematical and numerical analysis of
                                  the time-dependent Ginzburg--Landau
                                  equations in nonconvex polygons based on
                                  Hodge decomposition  . . . . . . . . . . 1579--1608
          Bernardo Cockburn and   
                Guosheng Fu and   
         Francisco Javier Sayas   Superconvergence by $M$-decompositions.
                                  Part I: General theory for HDG methods
                                  for diffusion  . . . . . . . . . . . . . 1609--1641
          Aycil Cesmelioglu and   
          Bernardo Cockburn and   
                    Weifeng Qiu   Analysis of a hybridizable discontinuous
                                  Galerkin method for the steady-state
                                  incompressible Navier--Stokes equations  1643--1670
                Hailong Guo and   
               Zhimin Zhang and   
                       Ren Zhao   Hessian recovery for finite element
                                  methods  . . . . . . . . . . . . . . . . 1671--1692
                 Wenming He and   
                   Zhimin Zhang   $ 2 k $ superconvergence of $ Q_k $
                                  finite elements by anisotropic mesh
                                  approximation in weighted Sobolev spaces 1693--1718
              Hiroki Kojima and   
            Takayasu Matsuo and   
               Daisuke Furihata   Some discrete inequalities for
                                  central-difference type operators  . . . 1719--1739
             Vanni Noferini and   
            Javier Pérez   Chebyshev rootfinding via computing
                                  eigenvalues of colleague matrices: when
                                  is it stable?  . . . . . . . . . . . . . 1741--1767
           Benjamin Berkels and   
          Alexander Effland and   
                   Martin Rumpf   A posteriori error control for the
                                  binary Mumford--Shah model . . . . . . . 1769--1791
                  Xiao Wang and   
                 Shiqian Ma and   
                  Ya-xiang Yuan   Penalty methods with stochastic
                                  approximation for stochastic nonlinear
                                  programming  . . . . . . . . . . . . . . 1793--1820
                    Min Tao and   
                  Xiaoming Yuan   Accelerated Uzawa methods for convex
                                  optimization . . . . . . . . . . . . . . 1821--1845
            Michael Griebel and   
             Frances Y. Kuo and   
                   Ian H. Sloan   Note on ``The smoothing effect of
                                  integration in $ \mathbb {R}^d $ and the
                                  ANOVA decomposition''  . . . . . . . . . 1847--1854
            Michael Griebel and   
             Frances Y. Kuo and   
                   Ian H. Sloan   The ANOVA decomposition of a non-smooth
                                  function of infinitely many variables
                                  can have every term smooth . . . . . . . 1855--1876
          Miodrag M. Spalevi\'c   On generalized averaged Gaussian
                                  formulas. II . . . . . . . . . . . . . . 1877--1885
          Jonathan Jaquette and   
         Miroslav Kramár   On $ \epsilon $ approximations of
                                  persistence diagrams . . . . . . . . . . 1887--1912
               Akil Narayan and   
            John D. Jakeman and   
                       Tao Zhou   A Christoffel function weighted least
                                  squares algorithm for collocation
                                  approximations . . . . . . . . . . . . . 1913--1947
    Jose Ignacio Burgos Gil and   
                  Ariel Pacetti   Hecke and Sturm bounds for Hilbert
                                  modular forms over real quadratic fields 1949--1978
               Steve Nugent and   
                    John Voight   On the arithmetic dimension of triangle
                                  groups . . . . . . . . . . . . . . . . . 1979--2004
                 Ivan Marin and   
             Götz Pfeiffer   The BMR freeness conjecture for the
                                  $2$-reflection groups  . . . . . . . . . 2005--2023

Mathematics of Computation
Volume 86, Number 307, 2017

              Xiaobing Feng and   
            Lauren Hennings and   
                 Michael Neilan   Finite element methods for second order
                                  linear elliptic partial differential
                                  equations in non-divergence form . . . . 2025--2051
                Wenbin Chen and   
                    Yanqiu Wang   Minimal degree $ H(\mathrm {curl}) $ and
                                  $ H(\mathrm {div}) $ conforming finite
                                  elements on polytopal meshes . . . . . . 2053--2087
               I. G. Graham and   
               E. A. Spence and   
                    E. Vainikko   Domain decomposition preconditioning for
                                  high-frequency Helmholtz problems with
                                  absorption . . . . . . . . . . . . . . . 2089--2127
     Hél\`ene Barucq and   
Théophile Chaumont-Frelet and   
                 Christian Gout   Stability analysis of heterogeneous
                                  Helmholtz problems and finite element
                                  solution based on propagation media
                                  approximation  . . . . . . . . . . . . . 2129--2157
       Daniele A. Di Pietro and   
    Jérôme Droniou   A Hybrid High-Order method for
                                  Leray--Lions elliptic equations on
                                  general meshes . . . . . . . . . . . . . 2159--2191
          Douglas N. Arnold and   
                       Lizao Li   Finite element exterior calculus with
                                  lower-order terms  . . . . . . . . . . . 2193--2212
              Daniele Boffi and   
           Dietmar Gallistl and   
          Francesca Gardini and   
                 Lucia Gastaldi   Optimal convergence of adaptive FEM for
                                  eigenvalue clusters in mixed form  . . . 2213--2237
                 Bangti Jin and   
            Raytcho Lazarov and   
        Vidar Thomée and   
                       Zhi Zhou   On nonnegativity preservation in finite
                                  element methods for subdiffusion
                                  equations  . . . . . . . . . . . . . . . 2239--2260
         Thomas Führer and   
              Norbert Heuer and   
               Michael Karkulik   On the coupling of DPG and BEM . . . . . 2261--2284
            Zhong-qing Wang and   
                Yu-ling Guo and   
                      Li-jun Yi   An $ h p$-version Legendre--Jacobi
                                  spectral collocation method for Volterra
                                  integro-differential equations with
                                  smooth and weakly singular kernels . . . 2285--2324
           Robert McLachlan and   
                 Klas Modin and   
                Olivier Verdier   A minimal-variable symplectic integrator
                                  on spheres . . . . . . . . . . . . . . . 2325--2344
                        Lin Lin   Localized spectrum slicing . . . . . . . 2345--2371
Máté Gerencsér and   
      István Gyöngy   Localization errors in solving
                                  stochastic partial differential
                                  equations in the whole space . . . . . . 2373--2397
José L. López and   
                Pedro J. Pagola   Analytic formulas for the evaluation of
                                  the Pearcey integral . . . . . . . . . . 2399--2407
          Przemys\law Rutka and   
             Ryszard Smarzewski   Explicit barycentric formulae for
                                  osculatory interpolation at roots of
                                  classical orthogonal polynomials . . . . 2409--2427
              Thomas Barron and   
        Christopher O'Neill and   
                 Roberto Pelayo   On dynamic algorithms for factorization
                                  invariants in numerical monoids  . . . . 2429--2447
                 David J. Platt   Isolating some non-trivial zeros of zeta 2449--2467
                   Jan H. Dumke   $p$-adic zeros of quintic forms  . . . . 2469--2478
       José A. Adell and   
                Alberto Lekuona   Fast computation of the Stieltjes
                                  constants  . . . . . . . . . . . . . . . 2479--2492
                     Tom Fisher   Higher descents on an elliptic curve
                                  with a rational $2$-torsion point  . . . 2493--2518
               L. Guarnieri and   
                   L. Vendramin   Skew braces and the Yang--Baxter
                                  equation . . . . . . . . . . . . . . . . 2519--2534
            Pierre Lezowski and   
                Kevin J. McGown   The Euclidean algorithm in quintic and
                                  septic cyclic fields . . . . . . . . . . 2535--2549
           Youness Lamzouri and   
                 Xiannan Li and   
           Kannan Soundararajan   Corrigendum to ``Conditional bounds for
                                  the least quadratic non-residue and
                                  related problems'' . . . . . . . . . . . 2551--2554

Mathematics of Computation
Volume 86, Number 308, 2017

               Dietmar Gallistl   Stable splitting of polyharmonic
                                  operators by generalized Stokes systems  2555--2577
                Weikun Shan and   
                     Huiyuan Li   The triangular spectral element method
                                  for Stokes eigenvalues . . . . . . . . . 2579--2611
               Karl Larsson and   
                 Mats G. Larson   A continuous/discontinuous Galerkin
                                  method and a priori error estimates for
                                  the biharmonic problem on surfaces . . . 2613--2649
                  M. Aurada and   
                 M. Feischl and   
             T. Führer and   
                M. Karkulik and   
               J. M. Melenk and   
                  D. Praetorius   Local inverse estimates for non-local
                                  boundary integral operators  . . . . . . 2651--2686
                   Danping Yang   Non-iterative parallel Schwarz
                                  algorithms based on overlapping domain
                                  decomposition for parabolic partial
                                  differential equations . . . . . . . . . 2687--2718
                  Hui Huang and   
                   Jian-Guo Liu   Error estimate of a random particle blob
                                  method for the Keller--Segel equation    2719--2744
           David M. Ambrose and   
                   Yang Liu and   
                 Michael Siegel   Convergence of a boundary integral
                                  method for $3$D interfacial Darcy flow
                                  with surface tension . . . . . . . . . . 2745--2775
                  M. N. Spijker   Stability and boundedness in the
                                  numerical solution of initial value
                                  problems . . . . . . . . . . . . . . . . 2777--2798
                  Victor Y. Pan   Fast approximate computations with
                                  Cauchy matrices and polynomials  . . . . 2799--2826
             Frances Y. Kuo and   
            Robert Scheichl and   
           Christoph Schwab and   
               Ian H. Sloan and   
              Elisabeth Ullmann   Multilevel Quasi-Monte Carlo methods for
                                  lognormal diffusion problems . . . . . . 2827--2860
           J. Rafael Sendra and   
              David Sevilla and   
               Carlos Villarino   Covering rational ruled surfaces . . . . 2861--2875
               Anton Leykin and   
                Daniel Plaumann   Determinantal representations of
                                  hyperbolic curves via polynomial
                                  homotopy continuation  . . . . . . . . . 2877--2888
                Jens Franke and   
         Thorsten Kleinjung and   
             Jan Büthe and   
                 Alexander Jost   A practical analytic method for
                                  calculating $ \pi (x) $  . . . . . . . . 2889--2909
          Adrian-Maria Scheerer   Computable absolutely normal numbers and
                                  discrepancies  . . . . . . . . . . . . . 2911--2926
Nicolás Álvarez and   
         Verónica Becher   M. Levin's construction of absolutely
                                  normal numbers with very low discrepancy 2927--2946
                Markus Hittmeir   Deterministic factorization of sums and
                                  differences of powers  . . . . . . . . . 2947--2954
         Jürgen Hausen and   
              Simon Keicher and   
              Rüdiger Wolf   Computing automorphisms of Mori dream
                                  spaces . . . . . . . . . . . . . . . . . 2955--2974
           Kevin Atighehchi and   
     Stéphane Ballet and   
           Alexis Bonnecaze and   
                 Robert Rolland   Arithmetic in finite fields based on the
                                  Chudnovsky--Chudnovsky multiplication
                                  algorithm  . . . . . . . . . . . . . . . 2975--3000
             Luis Felipe Tabera   A parametric version of the
                                  Hilbert--Hurwitz theorem using
                                  hypercircles . . . . . . . . . . . . . . 3001--3018
                   Elliot Wells   Computing canonical heights on the
                                  projective line with no factorization    3019--3029
               William Hart and   
               David Harvey and   
                     Wilson Ong   Irregular primes to two billion  . . . . 3031--3049


Mathematics of Computation
Volume 87, Number 309, 2018

        Simone Brugiapaglia and   
               Fabio Nobile and   
         Stefano Micheletti and   
                 Simona Perotto   A theoretical study of COmpRessed
                                  SolvING for
                                  advection--diffusion-reaction problems   1--38

Mathematics of Computation
Volume 87, Number 310, 2018

            Masahisa Tabata and   
                 Shinya Uchiumi   An exactly computable Lagrange--Galerkin
                                  scheme for the Navier--Stokes equations
                                  and its error estimates  . . . . . . . . 39--67
                Weifeng Qiu and   
               Jiguang Shen and   
                         Ke Shi   An HDG method for linear elasticity with
                                  strong symmetric stresses  . . . . . . . 69--93
                 D. M. Williams   An entropy stable, hybridizable
                                  discontinuous Galerkin method for the
                                  compressible Navier--Stokes equations    95--121
               Hailiang Liu and   
                     Hairui Wen   Error estimates for the AEDG method to
                                  one-dimensional linear
                                  convection--diffusion equations  . . . . 123--148
                 R. Altmann and   
                      C. Zimmer   Runge--Kutta methods for linear
                                  semi-explicit operator
                                  differential-algebraic equations . . . . 149--174
               Jan Glaubitz and   
        Philipp Öffner and   
                   Thomas Sonar   Application of modal filtering to a
                                  spectral difference method . . . . . . . 175--207
              Steffen Börm   Adaptive compression of large vectors    209--235
                       Qiang Ye   Accurate inverses for computing
                                  eigenvalues of extremely ill-conditioned
                                  matrices and differential operators  . . 237--259
A. Martínez-Finkelshtein and   
               A. Sri Ranga and   
                 D. O. Veronese   Extreme zeros in a sequence of
                                  para-orthogonal polynomials and bounds
                                  for the support of the measure . . . . . 261--288
                  Pedro Freitas   Sharp bounds for the modulus and phase
                                  of Hankel functions with applications to
                                  Jaeger integrals . . . . . . . . . . . . 289--308
                  Yunyun Ma and   
                    Yuesheng Xu   Computing highly oscillatory integrals   309--345
                    Bin Han and   
             Qingtang Jiang and   
                Zuowei Shen and   
               Xiaosheng Zhuang   Symmetric canonical quincunx tight
                                  framelets with high vanishing moments
                                  and smoothness . . . . . . . . . . . . . 347--379
                 Nicolas Mascot   Certification of modular Galois
                                  representations  . . . . . . . . . . . . 381--423
          Harris B. Daniels and   
Álvaro Lozano-Robledo and   
               Filip Najman and   
           Andrew V. Sutherland   Torsion subgroups of rational elliptic
                                  curves over the compositum of all cubic
                                  fields . . . . . . . . . . . . . . . . . 425--458
                Peter Bruin and   
               Andrea Ferraguti   On $L$-functions of quadratic $ \mathbb
                                  {Q}$-curves  . . . . . . . . . . . . . . 459--499
           King Cheong Fung and   
                       Ben Kane   On sign changes of cusp forms and the
                                  halting of an algorithm to construct a
                                  supersingular elliptic curve with a
                                  given endomorphism ring  . . . . . . . . 501--514
               Chunmei Wang and   
                   Junping Wang   A primal-dual weak Galerkin finite
                                  element method for second order elliptic
                                  equations in non-divergence form . . . . 515--545
         Snorre H. Christiansen   On eigenmode approximation for Dirac
                                  equations: Differential forms and
                                  fractional Sobolev spaces  . . . . . . . 547--580
        J. C. Latché and   
                       K. Saleh   A convergent staggered scheme for the
                                  variable density incompressible
                                  Navier--Stokes equations . . . . . . . . 581--632
                Erik Burman and   
               Peter Hansbo and   
                 Mats G. Larson   A cut finite element method with
                                  boundary value correction  . . . . . . . 633--657
                Duk-Soon Oh and   
            Olof B. Widlund and   
            Stefano Zampini and   
              Clark R. Dohrmann   BDDC Algorithms with deluxe scaling and
                                  adaptive selection of primal constraints
                                  for Raviart--Thomas vector fields  . . . 659--692
                 Qian Zhang and   
                Jiwei Zhang and   
              Shidong Jiang and   
                   Zhimin Zhang   Numerical solution to a linearized time
                                  fractional KdV equation on unbounded
                                  domains  . . . . . . . . . . . . . . . . 693--719
           Andrew M. Stuart and   
           Aretha L. Teckentrup   Posterior consistency for Gaussian
                                  process approximations of Bayesian
                                  posterior distributions  . . . . . . . . 721--753
             Lukasz Szpruch and   
            Xilíng Zhang   $V$-integrability, asymptotic stability
                                  and comparison property of explicit
                                  numerical schemes for non-linear SDEs    755--783
               Robert Plato and   
         Peter Mathé and   
                  Bernd Hofmann   Optimal rates for Lavrentiev
                                  regularization with adjoint source
                                  conditions . . . . . . . . . . . . . . . 785--801
    Claude-Pierre Jeannerod and   
              Siegfried M. Rump   On relative errors of floating-point
                                  operations: Optimal bounds and
                                  applications . . . . . . . . . . . . . . 803--819
               Daniel Krenn and   
                 Volker Ziegler   Non-minimality of the width-$w$
                                  non-adjacent form in conjunction with
                                  trace one $ \tau $-adic digit expansions
                                  and Koblitz curves in characteristic two 821--854
              Niko Rebenich and   
          T. Aaron Gulliver and   
            Stephen Neville and   
                 Ulrich Speidel   An analog of the prime number theorem
                                  for finite fields via truncated
                                  polylogarithm expansions . . . . . . . . 855--877
             Oliver D. King and   
                  Cris Poor and   
              Jerry Shurman and   
                  David S. Yuen   Using Katsurada's determination of the
                                  Eisenstein series to compute Siegel
                                  eigenforms . . . . . . . . . . . . . . . 879--892
             Dorian Nogneng and   
             Éric Schost   On the evaluation of some sparse
                                  polynomials  . . . . . . . . . . . . . . 893--904
             Michael DiPasquale   Dimension of mixed splines on polytopal
                                  cells  . . . . . . . . . . . . . . . . . 905--939
                    Ruyong Feng   On the computation of the Galois group
                                  of linear difference equations . . . . . 941--965
                 A. Detinko and   
             D. L. Flannery and   
                      A. Hulpke   Zariski density and computing in
                                  arithmetic groups  . . . . . . . . . . . 967--986
               William Kuszmaul   Fast algorithms for finding pattern
                                  avoiders and counting pattern
                                  occurrences in permutations  . . . . . . 987--1011
                     Greg Hurst   Computations of the Mertens function and
                                  improved bounds on the Mertens
                                  conjecture . . . . . . . . . . . . . . . 1013--1028

Mathematics of Computation
Volume 87, Number 311, July, 2018

                Erik Burman and   
                   Peter Hansbo   Stabilized nonconforming finite element
                                  methods for data assimilation in
                                  incompressible flows . . . . . . . . . . 1029--1050
                D. Broersen and   
                  W. Dahmen and   
                R. P. Stevenson   On the stability of DPG formulations of
                                  transport equations  . . . . . . . . . . 1051--1082
Frédéric Coquel and   
                    Shi Jin and   
               Jian-Guo Liu and   
                        Li Wang   Entropic sub-cell shock capturing
                                  schemes via Jin--Xin relaxation and
                                  Glimm front sampling for scalar
                                  conservation laws  . . . . . . . . . . . 1083--1126
           T. Gallouët and   
                  R. Herbin and   
        J.-C. Latché and   
                     D. Maltese   Convergence of the MAC scheme for the
                                  compressible stationary Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 1127--1163
               Jian-Guo Liu and   
                    Li Wang and   
                   Zhennan Zhou   Positivity-preserving and asymptotic
                                  preserving method for $2$D Keller--Segal
                                  equations  . . . . . . . . . . . . . . . 1165--1189
               Yongyong Cai and   
                   Yongjun Yuan   Uniform error estimates of the
                                  conservative finite difference method
                                  for the Zakharov system in the subsonic
                                  limit regime . . . . . . . . . . . . . . 1191--1225
            Simon Baumstark and   
                 Erwan Faou and   
              Katharina Schratz   Uniformly accurate exponential-type
                                  integrators for Klein--Gordon equations
                                  with asymptotic convergence to the
                                  classical NLS splitting  . . . . . . . . 1227--1254
           Shmuel Friedland and   
                   Lek-Heng Lim   Nuclear norm of higher-order tensors . . 1255--1281
               Wanyou Cheng and   
                    Yu-Hong Dai   Gradient-based method with active set
                                  strategy for $ \ell_1 $ optimization . . 1283--1305
               E. G. Birgin and   
                N. Kreji\'c and   
          J. M. Martínez   On the employment of inexact restoration
                                  for the minimization of functions whose
                                  evaluation is subject to errors  . . . . 1307--1326
           Benedetta Morini and   
        Margherita Porcelli and   
              Philippe L. Toint   Approximate norm descent methods for
                                  constrained nonlinear systems  . . . . . 1327--1351
        Martin Hutzenthaler and   
             Arnulf Jentzen and   
                   Xiaojie Wang   Exponential integrability properties of
                                  numerical approximation processes for
                                  nonlinear stochastic differential
                                  equations  . . . . . . . . . . . . . . . 1353--1413
            Abdellah Chkifa and   
                Nick Dexter and   
                 Hoang Tran and   
             Clayton G. Webster   Polynomial approximation via compressed
                                  sensing of high-dimensional functions on
                                  lower sets . . . . . . . . . . . . . . . 1415--1450
                Laura Faber and   
                  Habiba Kadiri   Corrigendum to New bounds for $ \psi (x)
                                  $  . . . . . . . . . . . . . . . . . . . 1451--1455
Enrique González-Jiménez and   
   Álvaro Lozano-Robledo   On the torsion of rational elliptic
                                  curves over quartic fields . . . . . . . 1457--1478
                  Hugo Labrande   Computing Jacobi's theta in quasi-linear
                                  time . . . . . . . . . . . . . . . . . . 1479--1508
        Andrzej D\kabrowski and   
          Lucjan Szymaszkiewicz   Orders of Tate--Shafarevich groups for
                                  the Neumann--Setzer type elliptic curves 1509--1522
               P. Drungilas and   
              J. Jankauskas and   
                    J. \vSiurys   On Littlewood and Newman polynomial
                                  multiples of Borwein polynomials . . . . 1523--1541

Mathematics of Computation
Volume 87, Number 312, October, 2018

                   A. Linke and   
                  C. Merdon and   
                  M. Neilan and   
                     F. Neumann   Quasi-optimality of a pressure-robust
                                  nonconforming finite element method for
                                  the Stokes Problem . . . . . . . . . . . 1543--1566
                   Hengguang Li   An anisotropic finite element method on
                                  polyhedral domains: interpolation error
                                  analysis . . . . . . . . . . . . . . . . 1567--1600
                  Long Chen and   
                     Jun Hu and   
                   Xuehai Huang   Fast auxiliary space preconditioners for
                                  linear elasticity in mixed form  . . . . 1601--1633
           Martin J. Gander and   
                  Soheil Hajian   Analysis of Schwarz methods for a
                                  hybridizable discontinuous Galerkin
                                  discretization: the many-subdomain case  1635--1657
                 Ruijian He and   
               Xinlong Feng and   
                  Zhangxin Chen   $ H^1 $-Superconvergence of a difference
                                  finite element method based on the $
                                  P_1$--$ P_1$-conforming element on
                                  non-uniform meshes for the $3$D Poisson
                                  equation . . . . . . . . . . . . . . . . 1659--1688
                 I. Cravero and   
                   G. Puppo and   
                M. Semplice and   
                    G. Visconti   CWENO: Uniformly accurate
                                  reconstructions for balance laws . . . . 1689--1719
                 Matt Elsey and   
               Selim Esedo\uglu   Threshold dynamics for anisotropic
                                  surface energies . . . . . . . . . . . . 1721--1756
             Tobias Ramming and   
                Holger Wendland   A kernel-based discretisation method for
                                  first order partial differential
                                  equations  . . . . . . . . . . . . . . . 1757--1781
               Lehel Banjai and   
               Alexander Rieder   Convolution quadrature for the wave
                                  equation with a nonlinear impedance
                                  boundary condition . . . . . . . . . . . 1783--1819
             Gabriel Acosta and   
     Juan Pablo Borthagaray and   
                Oscar Bruno and   
             Martín Maas   Regularity theory and high order
                                  numerical methods for the
                                  ($1$D)-fractional Laplacian  . . . . . . 1821--1857
                    Lili Ju and   
                    Xiao Li and   
              Zhonghua Qiao and   
                      Hui Zhang   Energy stability and error estimates of
                                  exponential time differencing schemes
                                  for the epitaxial growth model without
                                  slope selection  . . . . . . . . . . . . 1859--1885
             Weizhang Huang and   
               Lennard Kamenski   On the mesh nonsingularity of the moving
                                  mesh PDE method  . . . . . . . . . . . . 1887--1911
              Alex Townsend and   
                Marcus Webb and   
                  Sheehan Olver   Fast polynomial transforms based on
                                  Toeplitz and Hankel matrices . . . . . . 1913--1934
                      A. Melman   Eigenvalue bounds for matrix polynomials
                                  in generalized bases . . . . . . . . . . 1935--1948
             T. Hangelbroek and   
            F. J. Narcowich and   
                  C. Rieger and   
                     J. D. Ward   An inverse theorem for compact Lipschitz
                                  regions in $ \mathbb {R}^d $ using
                                  localized kernel bases . . . . . . . . . 1949--1989
                 Jan Büthe   An analytic method for bounding $ \psi
                                  (x) $  . . . . . . . . . . . . . . . . . 1991--2009
                Yoonjin Lee and   
                Yoon Kyung Park   A continued fraction of order twelve as
                                  a modular function . . . . . . . . . . . 2011--2036
             Klim Efremenko and   
            J. M. Landsberg and   
                Hal Schenck and   
                   Jerzy Weyman   The method of shifted partial
                                  derivatives cannot separate the
                                  permanent from the determinant . . . . . 2037--2045
                Zachary Charles   Generating random factored ideals in
                                  number fields  . . . . . . . . . . . . . 2047--2056

Mathematics of Computation
Volume 87, Number 313, January, 2018

               Yongyong Cai and   
                       Jie Shen   Error estimates for a fully discretized
                                  scheme to a Cahn--Hilliard phase-field
                                  model for two-phase incompressible flows 2057--2090
       Johnny Guzmán and   
               Maxim Olshanskii   Inf-sup stability of geometrically
                                  unfitted Stokes finite elements  . . . . 2091--2112
            Sebastian Franz and   
                 Gunar Matthies   A unified framework for time-dependent
                                  singularly perturbed problems with
                                  discontinuous Galerkin methods in time   2113--2132
                 Weizhu Bao and   
                     Chunmei Su   Uniform error bounds of a finite
                                  difference method for the
                                  Klein--Gordon--Zakharov system in the
                                  subsonic limit regime  . . . . . . . . . 2133--2158
             Philippe Angot and   
                  Rima Cheaytou   On the error estimates of the vector
                                  penalty-projection methods: Second-order
                                  scheme . . . . . . . . . . . . . . . . . 2159--2187
                Jianfeng Lu and   
                   Zhennan Zhou   Frozen Gaussian approximation with
                                  surface hopping for mixed
                                  quantum-classical dynamics: a
                                  mathematical justification of fewest
                                  switches surface hopping algorithms  . . 2189--2232
              R. B. Lehoucq and   
            F. J. Narcowich and   
                 S. T. Rowe and   
                     J. D. Ward   A meshless Galerkin method for non-local
                                  diffusion using localized kernel bases   2233--2258
                Kassem Mustapha   FEM for time-fractional diffusion
                                  equations, novel optimal error analyses  2259--2272
                V. J. Ervin and   
                   N. Heuer and   
                     J. P. Roop   Regularity of the solution to $1$-D
                                  fractional order diffusion equations . . 2273--2294
       Yiannis Hadjimichael and   
             David I. Ketcheson   Strong-stability-preserving additive
                                  linear multistep methods . . . . . . . . 2295--2320
                   L. Lopez and   
                       S. Maset   Time-transformations for the event
                                  location in discontinuous ODEs . . . . . 2321--2341
           Bjoern Bringmann and   
             Daniel Cremers and   
              Felix Krahmer and   
                Michael Moeller   The homotopy method revisited: Computing
                                  solution paths of $ \ell_1$-regularized
                                  problems . . . . . . . . . . . . . . . . 2343--2364
           Catherine Kublik and   
                   Richard Tsai   An extrapolative approach to integration
                                  over hypersurfaces in the level set
                                  framework  . . . . . . . . . . . . . . . 2365--2392
             Christian Wuthrich   Numerical modular symbols for elliptic
                                  curves . . . . . . . . . . . . . . . . . 2393--2423
José Ignacio Burgos Gil and   
            Ricardo Menares and   
           Juan Rivera-Letelier   On the essential minimum of Faltings'
                                  height . . . . . . . . . . . . . . . . . 2425--2459
                    Binzhou Xia   Cyclotomic difference sets in finite
                                  fields . . . . . . . . . . . . . . . . . 2461--2482
      Lo\"\ic Grenié and   
               Giuseppe Molteni   Explicit bounds for generators of the
                                  class group  . . . . . . . . . . . . . . 2483--2511
              Gregor Kemper and   
             Ngo Viet Trung and   
             Nguyen Thi Van Anh   Toward a theory of monomial preorders    2513--2537
   Maria Bras-Amorós and   
Julio Fernández-González   Computation of numerical semigroups by
                                  means of seeds . . . . . . . . . . . . . 2539--2550
           Janne I. Kokkala and   
Patric R. J. Östergård   The chromatic number of the square of
                                  the $8$-cube . . . . . . . . . . . . . . 2551--2561

Mathematics of Computation
Volume 87, Number 314, April, 2018

    Léna\"\ic Chizat and   
       Gabriel Peyré and   
         Bernhard Schmitzer and   
 François-Xavier Vialard   Scaling algorithms for unbalanced
                                  optimal transport problems . . . . . . . 2563--2609
          Christian Kreuzer and   
         Emmanuil H. Georgoulis   Convergence of adaptive discontinuous
                                  Galerkin methods . . . . . . . . . . . . 2611--2640
               Paul Houston and   
               Thomas P. Wihler   An $ h p$-adaptive
                                  Newton-discontinuous-Galerkin finite
                                  element approach for semilinear elliptic
                                  boundary value problems  . . . . . . . . 2641--2674
            Andrea Cangiani and   
     Emmanuil H. Georgoulis and   
               Younis A. Sabawi   Adaptive discontinuous Galerkin methods
                                  for elliptic interface problems  . . . . 2675--2707
            Jeonghun J. Lee and   
                 Ragnar Winther   Local coderivatives and approximation of
                                  Hodge Laplace problems . . . . . . . . . 2709--2735
                Siyang Wang and   
                Anna Nissen and   
                 Gunilla Kreiss   Convergence of finite difference methods
                                  for the wave equation in two space
                                  dimensions . . . . . . . . . . . . . . . 2737--2763
             Ralf Kornhuber and   
           Daniel Peterseim and   
               Harry Yserentant   An analysis of a class of variational
                                  multiscale methods based on subspace
                                  decomposition  . . . . . . . . . . . . . 2765--2774
Éliane Bécache and   
               Patrick Joly and   
               Valentin Vinoles   On the analysis of perfectly matched
                                  layers for a class of dispersive media
                                  and application to negative index
                                  metamaterials  . . . . . . . . . . . . . 2775--2810
              Dario A. Bini and   
             Stefano Massei and   
                 Beatrice Meini   Semi-infinite quasi-Toeplitz matrices
                                  with applications to QBD stochastic
                                  processes  . . . . . . . . . . . . . . . 2811--2830
                  Yang Zhou and   
                   Xiaojun Chen   Spherical $ t_\epsilon $-designs for
                                  approximations on the sphere . . . . . . 2831--2855
                     Zhijian He   Quasi-Monte Carlo for discontinuous
                                  integrands with singularities along the
                                  boundary of the unit cube  . . . . . . . 2857--2870
       Jared Duker Lichtman and   
                 Carl Pomerance   Improved error bounds for the Fermat
                                  primality test on random inputs  . . . . 2871--2890
               Andrew R. Booker   Finite connected components of the
                                  aliquot graph  . . . . . . . . . . . . . 2891--2902
        Stål Aanderaa and   
           Lars Kristiansen and   
             Hans Kristian Ruud   Search for good examples of Hall's
                                  conjecture . . . . . . . . . . . . . . . 2903--2914
                Markus Hittmeir   A babystep--giantstep method for faster
                                  deterministic integer factorization  . . 2915--2935
          Jonathan W. Sands and   
              Brett A. Tangedal   Computing annihilators of class groups
                                  from derivatives of $L$-functions  . . . 2937--2953
           Philip Brinkmann and   
         Günter M. Ziegler   Small $f$-vectors of $3$-spheres and of
                                  $4$-polytopes  . . . . . . . . . . . . . 2955--2975
Frédéric Chyzak and   
             Thomas Dreyfus and   
             Philippe Dumas and   
                Marc Mezzarobba   Computing solutions of linear Mahler
                                  equations  . . . . . . . . . . . . . . . 2977--3021
          Javier Cilleruelo and   
               Florian Luca and   
                   Lewis Baxter   Every positive integer is a sum of three
                                  palindromes  . . . . . . . . . . . . . . 3023--3055


Mathematics of Computation
Volume 88, Number 315, July, 2019

                      Buyang Li   Analyticity, maximal regularity and
                                  maximum-norm stability of semi-discrete
                                  finite element solutions of parabolic
                                  equations in nonconvex polyhedra . . . . 1--44
                Felipe Lepe and   
              Salim Meddahi and   
                 David Mora and   
       Rodolfo Rodríguez   Acoustic vibration problem for
                                  dissipative fluids . . . . . . . . . . . 45--71
               Dietmar Gallistl   Rayleigh--Ritz approximation of the
                                  inf--sup constant for the divergence . . 73--89
                Haijin Wang and   
                Yunxian Liu and   
                Qiang Zhang and   
                   Chi-Wang Shu   Local discontinuous Galerkin methods
                                  with implicit-explicit time-marching for
                                  time-dependent incompressible fluid flow 91--121
                   Qiang Du and   
                    Lili Ju and   
                    Jianfang Lu   A discontinuous Galerkin method for
                                  one-dimensional time-dependent nonlocal
                                  diffusion problems . . . . . . . . . . . 123--147
  L. Beirão da Veiga and   
                    D. Mora and   
                      G. Rivera   Virtual elements for a shear-deflection
                                  formulation of Reissner--Mindlin plates  149--178
                Martin W. Licht   Smoothed projections over weakly
                                  Lipschitz domains  . . . . . . . . . . . 179--210
               Junping Wang and   
                Qilong Zhai and   
                  Ran Zhang and   
                 Shangyou Zhang   A weak Galerkin finite element scheme
                                  for the Cahn--Hilliard equation  . . . . 211--235
                    Yanqiu Wang   A nonconforming Crouzeix--Raviart type
                                  finite element on polygonal meshes . . . 237--271
               Pierre Lissy and   
                Ionel Roven\cta   Optimal filtration for the approximation
                                  of boundary controls for the
                                  one-dimensional wave equation using a
                                  finite-difference method . . . . . . . . 273--291
                 Igor Moret and   
                   Paolo Novati   Krylov subspace methods for functions of
                                  fractional differential operators  . . . 293--312
              Jared Aurentz and   
                Thomas Mach and   
             Leonardo Robol and   
              Raf Vandebril and   
               David S. Watkins   Fast and backward stable computation of
                                  eigenvalues and eigenvectors of matrix
                                  polynomials  . . . . . . . . . . . . . . 313--347
                Marko Lange and   
              Siegfried M. Rump   Sharp estimates for perturbation errors
                                  in summations  . . . . . . . . . . . . . 349--368
                   A. Hajdu and   
                   L. Hajdu and   
                    R. Tijdeman   Finding well approximating lattices for
                                  a finite set of points . . . . . . . . . 369--387
            Kevin J. McGown and   
          Jonathan W. Sands and   
             Daniel Valli\`eres   Numerical evidence for higher order
                                  Stark-type conjectures . . . . . . . . . 389--420
                 Eslam Badr and   
              Francesc Bars and   
    Elisa Lorenzo García   On twists of smooth plane curves . . . . 421--438
                    Jan Tuitman   Computing zeta functions of generic
                                  projective hypersurfaces in larger
                                  characteristic . . . . . . . . . . . . . 439--451
                 A. S. I. Anema   Elliptic curves maximal over extensions
                                  of finite base fields  . . . . . . . . . 453--465
             Andrew J. Chan and   
                 Diane Maclagan   Gröbner bases over fields with valuations 467--483
        Jens Forsgård and   
   Laura Felicia Matusevich and   
             Nathan Mehlhop and   
                  Timo de Wolff   Lopsided approximation of amoebas  . . . 485--500
               David Harvey and   
           Joris van der Hoeven   Faster integer multiplication using
                                  plain vanilla FFT primes . . . . . . . . 501--514

Mathematics of Computation
Volume 88, Number 316, October, 2019

       Johnny Guzmán and   
               L. Ridgway Scott   The Scott--Vogelius finite elements
                                  revisited  . . . . . . . . . . . . . . . 515--529
                 Shuonan Wu and   
                     Jinchao Xu   Nonconforming finite element spaces for
                                  $ 2 m $ th order partial differential
                                  equations on $ \mathbb {R}^n $
                                  simplicial grids when $ m = n + 1 $  . . 531--551
                   Kaibo Hu and   
                     Jinchao Xu   Structure-preserving finite element
                                  methods for stationary MHD models  . . . 553--581
            Andrew Gillette and   
                Tyler Kloefkorn   Trimmed serendipity finite element
                                  differential forms . . . . . . . . . . . 583--606
                Martin W. Licht   Smoothed projections and mixed boundary
                                  conditions . . . . . . . . . . . . . . . 607--635
             R. H. Nochetto and   
                 D. Ntogkas and   
                       W. Zhang   Two-scale method for the Monge--Amp\`ere
                                  equation: Convergence to the viscosity
                                  solution . . . . . . . . . . . . . . . . 637--664
         Jan Nordström and   
            Cristina La Cognata   Energy stable boundary conditions for
                                  the nonlinear incompressible
                                  Navier--Stokes equations . . . . . . . . 665--690
                 Sulin Wang and   
                     Zhengfu Xu   Total variation bounded flux limiters
                                  for high order finite difference schemes
                                  solving one-dimensional scalar
                                  conservation laws  . . . . . . . . . . . 691--716
            Ludwig Gauckler and   
                Jianfeng Lu and   
         Jeremy L. Marzuola and   
Frédéric Rousset and   
              Katharina Schratz   Trigonometric integrators for
                                  quasilinear wave equations . . . . . . . 717--749
               Jörg Grande   Red--green refinement of simplicial
                                  meshes in $d$ dimensions . . . . . . . . 751--782
              Parsiad Azimzadeh   A fast and stable test to check if a
                                  weakly diagonally dominant matrix is a
                                  nonsingular $M$-matrix . . . . . . . . . 783--800
          Matthias Beckmann and   
                     Armin Iske   Error estimates and convergence rates
                                  for filtered back projection . . . . . . 801--835
              Zev Klagsbrun and   
             Travis Sherman and   
                 James Weigandt   The Elkies curve has rank 28 subject
                                  only to GRH  . . . . . . . . . . . . . . 837--846
               Pascal Molin and   
              Christian Neurohr   Computing period matrices and the
                                  Abel--Jacobi map of superelliptic curves 847--888
                Davide Lombardo   Computing the geometric endomorphism
                                  ring of a genus-2 Jacobian . . . . . . . 889--929
               Geoff Bailey and   
           Stephen D. Cohen and   
          Nicole Sutherland and   
                   Tim Trudgian   Existence results for primitive elements
                                  in cubic and quartic extensions of a
                                  finite field . . . . . . . . . . . . . . 931--947
             Dilum De Silva and   
     Michael J. Mossinghoff and   
              Vincent Pigno and   
             Christopher Pinner   The Lind--Lehmer constant for certain
                                  $p$-groups . . . . . . . . . . . . . . . 949--972
             Kwang-Seob Kim and   
                 John C. Miller   Class numbers of large degree nonabelian
                                  number fields  . . . . . . . . . . . . . 973--981
        Aleksander Malni\vc and   
                    Rok Po\vzar   On split liftings with sectional
                                  complements  . . . . . . . . . . . . . . 983--1005
               Paul Pollack and   
                   Peter Schorn   Dirichlet's proof of the three-square
                                  theorem: an algorithmic perspective  . . 1007--1019

Mathematics of Computation
Volume 88, Number 317, January, 2019

        Hubertus Grillmeier and   
         Günther Grün   Nonnegativity preserving convergent
                                  schemes for stochastic porous-medium
                                  equations  . . . . . . . . . . . . . . . 1021--1059
               Seungchan Ko and   
                Endre Süli   Finite element approximation of steady
                                  flows of generalized Newtonian fluids
                                  with concentration-dependent power-law
                                  index  . . . . . . . . . . . . . . . . . 1061--1090
               Dietmar Gallistl   Numerical approximation of planar
                                  oblique derivative problems in
                                  nondivergence form . . . . . . . . . . . 1091--1119
           Marlis Hochbruck and   
                  Andreas Sturm   Upwind discontinuous Galerkin space
                                  discretization and locally implicit time
                                  integration for linear Maxwell's
                                  equations  . . . . . . . . . . . . . . . 1121--1153
            Mariarosa Mazza and   
              Ahmed Ratnani and   
        Stefano Serra-Capizzano   Spectral analysis and spectral symbol
                                  for the $2$D curl--curl (stabilized)
                                  operator with applications to the
                                  related iterative solutions  . . . . . . 1155--1188
   Froilán M. Dopico and   
        Javier Pérez and   
                Paul Van Dooren   Structured backward error analysis of
                                  linearized structured polynomial
                                  eigenvalue problems  . . . . . . . . . . 1189--1228
           J. F. van Diejen and   
                       E. Emsiz   Exact cubature rules for symmetric
                                  functions  . . . . . . . . . . . . . . . 1229--1249
               Tamiru Jarso and   
                   Tim Trudgian   Quadratic non-residues that are not
                                  primitive roots  . . . . . . . . . . . . 1251--1260
              Bartosz \'Zra\lek   An extension of a result about divisors
                                  in a residue class and its application
                                  to reducing integer factorization to
                                  computing Euler's totient  . . . . . . . 1261--1272
               Aurore Guillevic   Faster individual discrete logarithms in
                                  finite fields of composite extension
                                  degree . . . . . . . . . . . . . . . . . 1273--1301
                Edgar Costa and   
             Nicolas Mascot and   
            Jeroen Sijsling and   
                    John Voight   Rigorous computation of the endomorphism
                                  ring of a Jacobian . . . . . . . . . . . 1303--1339
         Michael A. Bennett and   
               Adela Gherga and   
              Andrew Rechnitzer   Computing elliptic curves over $ \mathbb
                                  {Q} $  . . . . . . . . . . . . . . . . . 1341--1390
           Ludovic Brieulle and   
                Luca De Feo and   
            Javad Doliskani and   
          Jean-Pierre Flori and   
             Éric Schost   Computing isomorphisms and embeddings of
                                  finite fields  . . . . . . . . . . . . . 1391--1426
                  Jim Hoste and   
            Patrick D. Shanahan   An enumeration process for racks . . . . 1427--1448
         Svyatoslav Covanov and   
          Emmanuel Thomé   Fast integer multiplication using
                                  generalized Fermat primes  . . . . . . . 1449--1477
                  Yong Feng and   
               Jingwei Chen and   
                     Wenyuan Wu   The PSLQ algorithm for empirical data    1479--1501
             Hanh My Nguyen and   
                 Carl Pomerance   The reciprocal sum of the amicable
                                  numbers  . . . . . . . . . . . . . . . . 1503--1526

Mathematics of Computation
Volume 88, Number 318, April, 2019

                Natalia Kopteva   Logarithm cannot be removed in maximum
                                  norm error estimates for linear finite
                                  elements in $3$D . . . . . . . . . . . . 1527--1532
             Leo G. Rebholz and   
              Alex Viguerie and   
                  Mengying Xiao   Efficient nonlinear iteration schemes
                                  based on algebraic splitting for the
                                  incompressible Navier--Stokes equations  1533--1557
                Victor Calo and   
            Matteo Cicuttin and   
              Quanling Deng and   
                  Alexandre Ern   Spectral approximation of elliptic
                                  operators by the Hybrid High-Order
                                  method . . . . . . . . . . . . . . . . . 1559--1586
         Thomas Führer and   
              Norbert Heuer and   
                 Antti H. Niemi   An ultraweak formulation of the
                                  Kirchhoff--Love plate bending model and
                                  DPG approximation  . . . . . . . . . . . 1587--1619
               Wasilij Barsukow   Stationarity preserving schemes for
                                  multi-dimensional linear systems . . . . 1621--1645
              Michael Hanke and   
         Roswitha März and   
              Caren Tischendorf   Least-squares collocation for
                                  higher-index linear
                                  differential-algebraic equations:
                                  Estimating the instability threshold . . 1647--1683
                 Wenyi Tian and   
                  Xiaoming Yuan   An alternating direction method of
                                  multipliers with a worst-case $ O(1 /
                                  n^2) $ convergence rate  . . . . . . . . 1685--1713
             Max Gunzburger and   
                  Buyang Li and   
                      Jilu Wang   Sharp convergence rates of time
                                  discretization for stochastic
                                  time-fractional PDEs subject to additive
                                  space-time white noise . . . . . . . . . 1715--1741
                   Jie Shen and   
               Yingwei Wang and   
                    Jianlin Xia   Fast structured Jacobi--Jacobi
                                  transforms . . . . . . . . . . . . . . . 1743--1772
             Blanca Bujanda and   
                José and   
            L. López and   
                Pedro J. Pagola   Convergent expansions of the confluent
                                  hypergeometric functions in terms of
                                  elementary functions . . . . . . . . . . 1773--1789
          Przemys\law Rutka and   
             Ryszard Smarzewski   Difference inequalities and barycentric
                                  identities for classical discrete
                                  iterated weights . . . . . . . . . . . . 1791--1804
              Gerg\Ho Nemes and   
          Adri B. Olde Daalhuis   Asymptotic expansions for the incomplete
                                  gamma function in the transition regions 1805--1827
          Fredrik Johansson and   
        Iaroslav V. Blagouchine   Computing Stieltjes constants using
                                  complex integration  . . . . . . . . . . 1829--1850
              Laura Capuano and   
        Francesco Veneziano and   
                Umberto Zannier   An effective criterion for periodicity
                                  of $ \ell $-adic continued fractions . . 1851--1882
            Andreas Weingartner   On the constant factor in several
                                  related asymptotic estimates . . . . . . 1883--1902
           Andrew R. Booker and   
           Stephen D. Cohen and   
          Nicole Sutherland and   
                   Tim Trudgian   Primitive values of quadratic
                                  polynomials in a finite field  . . . . . 1903--1912
             Tim Dokchitser and   
              Christopher Doris   $3$-torsion and conductor of genus 2
                                  curves . . . . . . . . . . . . . . . . . 1913--1927
                   Georges Gras   Heuristics and conjectures in the
                                  direction of a $p$-adic Brauer--Siegel
                                  Theorem  . . . . . . . . . . . . . . . . 1929--1965
             Christian Bean and   
         Bjarki Gudmundsson and   
              Henning Ulfarsson   Automatic discovery of structural rules
                                  of permutation classes . . . . . . . . . 1967--1990
         Joachim von zur Gathen   Iteration entropy  . . . . . . . . . . . 1991--2003
      Federico Amadio Guidi and   
            Sofia Lindqvist and   
                Giacomo Micheli   Full orbit sequences in affine spaces
                                  via fractional jumps and pseudorandom
                                  number generation  . . . . . . . . . . . 2005--2025
Juan González-Meneses and   
             Marithania Silvero   Polynomial braid combing . . . . . . . . 2027--2045

Mathematics of Computation
Volume 88, Number 319, July, 2019

                  Xiaoli Li and   
                   Jie Shen and   
                   Hongxing Rui   Energy stability and convergence of SAV
                                  block-centered finite difference method
                                  for gradient flows . . . . . . . . . . . 2047--2068
F. Guillén-González and   
M. A. Rodríguez-Bellido and   
       D. A. Rueda-Gómez   Unconditionally energy stable fully
                                  discrete schemes for a chemo-repulsion
                                  model  . . . . . . . . . . . . . . . . . 2069--2099
            Stefano Berrone and   
              Andrea Bonito and   
              Rob Stevenson and   
                   Marco Verani   An optimal adaptive Fictitious Domain
                                  Method . . . . . . . . . . . . . . . . . 2101--2134
                Natalia Kopteva   Error analysis of the L1 method on
                                  graded and uniform meshes for a
                                  fractional-derivative problem in two and
                                  three dimensions . . . . . . . . . . . . 2135--2155
                 Bangti Jin and   
                  Buyang Li and   
                       Zhi Zhou   Subdiffusion with a time-dependent
                                  coefficient: Analysis and numerical
                                  solution . . . . . . . . . . . . . . . . 2157--2186
               James Cheung and   
               Mauro Perego and   
               Pavel Bochev and   
                 Max Gunzburger   Optimally accurate higher-order finite
                                  element methods for polytopial
                                  approximations of domains with smooth
                                  boundaries . . . . . . . . . . . . . . . 2187--2219
                     Pei Fu and   
         Gero Schnücke and   
                     Yinhua Xia   Arbitrary Lagrangian--Eulerian
                                  discontinuous Galerkin method for
                                  conservation laws on moving simplex
                                  meshes . . . . . . . . . . . . . . . . . 2221--2255
                 Zheng Chen and   
                  Cory D. Hauck   Multiscale convergence properties for
                                  spectral approximations of a model
                                  kinetic equation . . . . . . . . . . . . 2257--2293
                   Wei Wang and   
                      Xuejun Xu   On the convergence of a two-level
                                  preconditioned Jacobi--Davidson method
                                  for eigenvalue problems  . . . . . . . . 2295--2324
              Zhen-Chen Guo and   
          Eric King-Wah Chu and   
                    Wen-Wei Lin   Doubling algorithm for the discretized
                                  Bethe--Salpeter eigenvalue problem . . . 2325--2350
            Ana F. Loureiro and   
                        Kuan Xu   Volterra-type convolution of classical
                                  polynomials  . . . . . . . . . . . . . . 2351--2381
          Olivier Ramaré   Corrigendum to Explicit estimates on
                                  several summatory functions involving
                                  the Moebius function . . . . . . . . . . 2383--2388
              Jackson S. Morrow   Composite images of Galois for elliptic
                                  curves over $ \mathbf {Q} $ and
                                  entanglement fields  . . . . . . . . . . 2389--2421
        Fabien Cléry and   
                Carel Faber and   
            Gerard van der Geer   Covariants of binary sextics and modular
                                  forms of degree 2 with character . . . . 2423--2441
            Maarten Derickx and   
                   Filip Najman   Torsion of elliptic curves over cyclic
                                  cubic fields . . . . . . . . . . . . . . 2443--2459
                 Ekin Ozman and   
                   Samir Siksek   Quadratic points on modular curves . . . 2461--2484
       Faruk Gölo\uglu and   
                   Antoine Joux   A simplified approach to rigorous degree
                                  2 elimination in discrete logarithm
                                  algorithms . . . . . . . . . . . . . . . 2485--2496
         Muhammad Imran Qureshi   Biregular models of log Del Pezzo
                                  surfaces with rigid singularities  . . . 2497--2521
 Petr Vojt\vechovský and   
                Seung Yeop Yang   Enumeration of racks and quandles up to
                                  isomorphism  . . . . . . . . . . . . . . 2523--2540
                  Lynn Chua and   
               Mario Kummer and   
                Bernd Sturmfels   Schottky algorithms: Classical meets
                                  tropical . . . . . . . . . . . . . . . . 2541--2558

Mathematics of Computation
Volume 88, Number 320, October, 2019

               M. Bonazzoli and   
                  V. Dolean and   
               I. G. Graham and   
               E. A. Spence and   
                 P.-H. Tournier   Domain decomposition preconditioning for
                                  the high-frequency time-harmonic Maxwell
                                  equations with absorption  . . . . . . . 2559--2604
         Charles M. Elliott and   
                 Hans Fritz and   
                   Graham Hobbs   Second order splitting for a class of
                                  fourth order equations . . . . . . . . . 2605--2634
           Klaus Deckelnick and   
         Charles M. Elliott and   
           Tatsu-Hiko Miura and   
                 Vanessa Styles   Hamilton--Jacobi equations on an
                                  evolving surface . . . . . . . . . . . . 2635--2664
                 Xiang Wang and   
             Weizhang Huang and   
                     Yonghai Li   Conditioning of the finite volume
                                  element method for diffusion problems
                                  with general simplicial meshes . . . . . 2665--2696
          Philippe Chartier and   
        Nicolas Crouseilles and   
             Mohammed Lemou and   
      Florian Méhats and   
                   Xiaofei Zhao   Uniformly accurate methods for Vlasov
                                  equations with non-homogeneous strong
                                  magnetic field . . . . . . . . . . . . . 2697--2736
                  Ming Zhou and   
                  Klaus Neymeyr   Cluster robust estimates for block
                                  gradient-type eigensolvers . . . . . . . 2737--2765
                  Tony Shardlow   A Walk Outside Spheres for the
                                  fractional Laplacian: Fields and first
                                  eigenvalue . . . . . . . . . . . . . . . 2767--2792
              Raphael Kruse and   
                         Yue Wu   A randomized and fully discrete Galerkin
                                  finite element method for semilinear
                                  stochastic evolution equations . . . . . 2793--2825
             Michaël Sdika   Diffeomorphic B-spline vector fields
                                  with a tractable set of inequalities . . 2827--2856
                 Wenjie Liu and   
               Li-Lian Wang and   
                     Huiyuan Li   Optimal error estimates for Chebyshev
                                  approximations of functions with limited
                                  regularity in fractional Sobolev-type
                                  spaces . . . . . . . . . . . . . . . . . 2857--2895
             Peter Mathé   Bayesian inverse problems with
                                  non-commuting operators  . . . . . . . . 2897--2912
                Nadir Murru and   
                  Lea Terracini   On $p$-adic multidimensional continued
                                  fractions  . . . . . . . . . . . . . . . 2913--2934
                     Peter Shiu   Corrigendum to ``Counting sums of two
                                  squares: the Meissel--Lehmer method''    2935--2938
              Francesc Bars and   
   Josep González Rovira   Bielliptic modular curves $ X_0^*(N) $
                                  with square-free levels  . . . . . . . . 2939--2957
Omar León Sánchez   Estimates for the coefficients of
                                  differential dimension polynomials . . . 2959--2985
           Emre Can Sertöz   Computing periods of hypersurfaces . . . 2987--3022
              Thomas Breuer and   
               Gerhard Hiss and   
          Frank Lübeck and   
                      Klaus Lux   The completion of the $3$-modular
                                  character table of the Chevalley group $
                                  F_4 (2)$ and its covering group  . . . . 3023--3040
         Gary R. W. Greaves and   
                  Pavlo Yatsyna   On equiangular lines in $ 17 $
                                  dimensions and the characteristic
                                  polynomial of a Seidel matrix  . . . . . 3041--3061
           Jonathan Bayless and   
                Paul Kinlaw and   
                  Dominic Klyve   Sums over primitive sets with a fixed
                                  number of prime factors  . . . . . . . . 3063--3077