Table of contents for issues of Mathematics of Computation

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Volume 52, Number 185, January, 1989
Volume 54, Number 189, January, 1990
Volume 54, Number 190, April, 1990
Volume 55, Number 191, July, 1990
Volume 55, Number 192, October, 1990
Volume ??, Number ??, October, 1991
Volume 56, Number 193, January, 1991
Volume 56, Number 194, April, 1991
Volume 57, Number 195, July, 1991
Volume 57, Number 196, October, 1991
Volume 58, Number 197, January, 1992
Volume 58, Number 198, April, 1992
Volume 59, Number 199, July, 1992
Volume 59, Number 200, October, 1992
Volume 60, Number 201, January, 1993
Volume 60, Number 202, April, 1993
Volume 61, Number 203, July, 1993
Volume 61, Number 204, October, 1993
Volume 62, Number 205, January, 1994
Volume 62, Number 206, April, 1994
Volume 63, Number 207, July, 1994
Volume 63, Number 208, October, 1994
Volume 64, Number 209, January, 1995
Volume 64, Number 210, April, 1995
Volume 64, Number 211, July, 1995
Volume 64, Number 212, October, 1995
Volume 65, Number 213, January, 1996
Volume 65, Number 214, April, 1996
Volume 65, Number 215, July, 1996
Volume 65, Number 216, October, 1996
Volume 66, Number 217, January, 1997
Volume 66, Number 218, April, 1997
Volume 66, Number 219, July, 1997
Volume 66, Number 220, October, 1997
Volume 67, Number 221, January, 1998
Volume 67, Number 222, April, 1998
Volume 67, Number 223, July, 1998
Volume 67, Number 224, October, 1998
Volume 68, Number 225, January, 1999
Volume 68, Number 226, April, 1999
Volume 68, Number 227, July, 1999
Volume 68, Number 228, October, 1999
Volume 74, Number 252, October, 2005
Volume 80, Number 275, July, 2011
Volume 104, Number 9, November, 1997
Volume 90, Number 331, July, 2021


Mathematics of Computation
Volume 52, Number 185, January, 1989

         François Morain   On the $\operatorname{lcm}$ of the
                                  Differences of Eight Primes  . . . . . . 225--229


Mathematics of Computation
Volume 54, Number 189, January, 1990

                     Manil Suri   On the Stability and Convergence of
                                  Higher-Order Mixed Finite Element
                                  Methods for Second-Order Elliptic
                                  Problems . . . . . . . . . . . . . . . . 1--19
         Christine Bernardi and   
           Naïma Debit and   
                     Yvon Maday   Coupling Finite Element and Spectral
                                  Methods: First Results . . . . . . . . . 21--39
                  Zi-Cai Li and   
                  Rudolf Mathon   Error and Stability Analysis of Boundary
                                  Methods for Elliptic Problems with
                                  Interfaces . . . . . . . . . . . . . . . 41--61
    Ricardo G. Durán and   
            Ricardo H. Nochetto   Weighted inf-sup condition and pointwise
                                  error estimates for the Stokes problem   63--79
              Gerard R. Richter   A Finite Element Method for
                                  Time-Dependent Convection-Diffusion
                                  Equations  . . . . . . . . . . . . . . . 81--106
              Claes Johnson and   
            Anders Szepessy and   
                   Peter Hansbo   On the Convergence of Shock-Capturing
                                  Streamline Diffusion Finite Element
                                  Methods for Hyperbolic Conservation Laws 107--129
                Takuya Tsuchiya   A note on discrete solutions of the
                                  Plateau problem  . . . . . . . . . . . . 131--138
                         Yi Yan   The Collocation Method for First-Kind
                                  Boundary Integral Equations on Polygonal
                                  Regions  . . . . . . . . . . . . . . . . 139--154
                   Yuan Wei and   
                       Tang Tao   The Numerical Analysis of Implicit
                                  Runge--Kutta Methods for a Certain
                                  Nonlinear Integro-Differential Equation  155--168
            Charles K. Chui and   
                   Tian Xiao He   Bivariate ${C}^1$ quadratic finite
                                  elements and vertex splines  . . . . . . 169--187
               Giuseppe Buffoni   Nonnegative and skew-symmetric
                                  perturbations of a matrix with positive
                                  inverse  . . . . . . . . . . . . . . . . 189--194
         Takemitsu Hasegawa and   
               Tatsuo Torii and   
                Hiroshi Sugiura   An Algorithm Based on the FFT for a
                                  Generalized Chebyshev Interpolation  . . 195--210
               W. R. Madych and   
                   S. A. Nelson   Multivariate Interpolation and
                                  Conditionally Positive Definite
                                  Functions. II  . . . . . . . . . . . . . 211--230
                J. Carnicer and   
                       M. Gasca   Evaluation of Multivariate Polynomials
                                  and Their Derivatives  . . . . . . . . . 231--243
             Qazi I. Rahman and   
             Gerhard Schmeisser   Quadrature Formulae and Functions of
                                  Exponential Type . . . . . . . . . . . . 245--270
              Philip Rabinowitz   Generalized Noninterpolatory Rules for
                                  Cauchy Principal Value Integrals . . . . 271--279
               Ian H. Sloan and   
                    Linda Walsh   A computer search of rank-$2$ lattice
                                  rules for multidimensional quadrature    281--302
        Harald Niederreiter and   
                   Ian H. Sloan   Lattice Rules for Multiple Integration
                                  and Discrepancy  . . . . . . . . . . . . 303--312
                 Alan E. Berger   Accurate Calculation of Functions Used
                                  in a Model of the Nematic Behavior of
                                  Self-Assembling Systems  . . . . . . . . 313--330
              George S. Fishman   Multiplicative Congruential Random
                                  Number Generators with Modulus
                                  $2^\beta$: An Exhaustive Analysis for
                                  $\beta \simeq 32$ and a Partial Analysis
                                  for $\beta \simeq 48$  . . . . . . . . . 331--344
         Richard Blecksmith and   
             John Brillhart and   
                   Irving Gerst   On the $\bmod 2$ Reciprocation of
                                  Infinite Modular-Part Products and the
                                  Parity of Certain Partition Functions    345--376
           Peter B. Borwein and   
                Terry A. Loring   Some Questions of Erd\Hos and Graham on
                                  Numbers of the Form $\sum g_n/2^{g_n}$   377--394
                Graeme L. Cohen   On an Integer's Infinitary Divisors  . . 395--411
              Bas Edixhoven and   
            Arnold de Groot and   
                       Jaap Top   Elliptic Curves Over the Rationals with
                                  Bad Reduction at Only One Prime  . . . . 413--419
                     Wieb Bosma   Approximation by Mediants  . . . . . . . 421--434
                   Victor Shoup   New Algorithms for Finding Irreducible
                                  Polynomials Over Finite Fields . . . . . 435--447
                      M. Denert   The Genus Zeta Function of Hereditary
                                  Orders in Central Simple Algebras Over
                                  Global Fields  . . . . . . . . . . . . . 449--465
                   Bettina Just   Integer Relations Among Algebraic
                                  Numbers  . . . . . . . . . . . . . . . . 467--477

Mathematics of Computation
Volume 54, Number 190, April, 1990

           L. Ridgway Scott and   
                 Shangyou Zhang   Finite element interpolation of
                                  nonsmooth functions satisfying boundary
                                  conditions . . . . . . . . . . . . . . . 483--493
                  Rolf Stenberg   Error analysis of some finite element
                                  methods for the Stokes problem . . . . . 495--508
                 S. H. Chou and   
                          Q. Li   Convergence of the nonconforming Wilson
                                  element for a class of nonlinear
                                  parabolic problems . . . . . . . . . . . 509--524
                  Bruce A. Wade   Symmetrizable Finite Difference
                                  Operators  . . . . . . . . . . . . . . . 525--543
          Bernardo Cockburn and   
                Suchung Hou and   
                   Chi-Wang Shu   The Runge--Kutta local projection
                                  discontinuous Galerkin finite element
                                  method for conservation laws. IV. The
                                  multidimensional case  . . . . . . . . . 545--581
       Anne Kværnò   Runge--Kutta methods applied to fully
                                  implicit differential-algebraic
                                  equations of index $1$ . . . . . . . . . 583--625
           Borislav Bojanov and   
                   Geno Nikolov   Comparison of Birkhoff Type Quadrature
                                  Formulae . . . . . . . . . . . . . . . . 627--648
                I. H. Sloan and   
                   J. N. Lyness   Lattice rules: projection regularity and
                                  unique representations . . . . . . . . . 649--660
               Gerhard Baur and   
                  Bruce Shawyer   Best $L^2$-approximation of convergent
                                  moment series  . . . . . . . . . . . . . 661--669
            Howard C. Elman and   
                  Gene H. Golub   Iterative methods for cyclically reduced
                                  non-self-adjoint linear systems  . . . . 671--700
              A. M. Bruaset and   
                  A. Tveito and   
                     R. Winther   On the stability of relaxed incomplete
                                  ${LU}$ factorizations  . . . . . . . . . 701--719
              Siegfried M. Rump   Rigorous sensitivity analysis for
                                  systems of linear and nonlinear
                                  equations  . . . . . . . . . . . . . . . 721--736
      Debra A. André and   
             Gary L. Mullen and   
            Harald Niederreiter   Figures of merit for digital multistep
                                  pseudorandom numbers . . . . . . . . . . 737--748
       A. J. W. Duijvestijn and   
                    B. Helthuis   Some new polyhedra with vertex degree 4
                                  and/or 5 only  . . . . . . . . . . . . . 749--753
                     Daqing Wan   Factoring multivariate polynomials over
                                  large finite fields  . . . . . . . . . . 755--770
                Phil Hanlon and   
                    David Wales   Computing the discriminants of Brauer's
                                  centralizer algebras . . . . . . . . . . 771--796
              Jeremy Teitelbaum   The computational complexity of the
                                  resolution of plane curve singularities  797--837
        Peter L. Montgomery and   
            Robert D. Silverman   An FFT extension to the ${P}-1$
                                  factoring algorithm  . . . . . . . . . . 839--854
                J. Buchmann and   
                J. W. Sands and   
                 H. C. Williams   $p$-Adic Computation of Real Quadratic
                                  Class Numbers  . . . . . . . . . . . . . 855--868
         A.-M. Bergé and   
                J. Martinet and   
                     M. Olivier   The computation of sextic fields with a
                                  quadratic subfield . . . . . . . . . . . 869--884
            Francine Delmer and   
         Jean-Marc Deshouillers   On the Computation of $g(k)$ in Waring's
                                  Problem  . . . . . . . . . . . . . . . . 885--893
                Don Coppersmith   Fermat's last theorem (case $1$) and the
                                  Wieferich criterion  . . . . . . . . . . 895--902
         François Morain   Corrigenda: ``On the
                                  $\operatorname{lcm}$ of the differences
                                  of eight primes'' [Math. Comput. 52
                                  (1989), no. 185, 225--229] . . . . . . . 911--911


Mathematics of Computation
Volume 55, Number 191, July, 1990

           James H. Bramble and   
          Joseph E. Pasciak and   
                    Jin Chao Xu   Parallel Multilevel Preconditioners  . . 1--22
                 Shangyou Zhang   Optimal-order nonnested multigrid
                                  methods for solving finite element
                                  equations. I. On quasi-uniform meshes    23--36
                Hung-Ju Kuo and   
              Neil S. Trudinger   Linear elliptic difference inequalities
                                  with random coefficients . . . . . . . . 37--53
               Donald Estep and   
               Michael Loss and   
                  Jeffrey Rauch   Boundedness of Dispersive Difference
                                  Schemes  . . . . . . . . . . . . . . . . 55--87
                   Lung-An Ying   Viscous splitting for the unbounded
                                  problem of the Navier--Stokes equations  89--113
                     Hou De Han   A direct boundary element method for
                                  Signorini problems . . . . . . . . . . . 115--128
                A. Y. Cheer and   
                 D. A. Goldston   A differential delay equation arising
                                  from the sieve of Eratosthenes . . . . . 129--141
José Mario Martínez   Local convergence theory of inexact
                                  Newton methods based on structured least
                                  change updates . . . . . . . . . . . . . 143--167
            Steve Batterson and   
                   John Smillie   Rayleigh quotient iteration for
                                  nonsymmetric matrices  . . . . . . . . . 169--178
                     Victor Pan   On Computations with Dense Structured
                                  Matrices . . . . . . . . . . . . . . . . 179--190
                I. C. Demetriou   A characterization theorem for the
                                  discrete best monotonic approximation
                                  problem  . . . . . . . . . . . . . . . . 191--195
         Giuliana Criscuolo and   
       Giuseppe Mastroianni and   
             Donatella Occorsio   Convergence of Extended Lagrange
                                  Interpolation  . . . . . . . . . . . . . 197--212
         Giuliana Criscuolo and   
       Giuseppe Mastroianni and   
              Giovanni Monegato   Convergence properties of a class of
                                  product formulas for weakly singular
                                  integral equations . . . . . . . . . . . 213--230
             Franz Peherstorfer   Linear combinations of orthogonal
                                  polynomials generating positive
                                  quadrature formulas  . . . . . . . . . . 231--241
Klaus-Jürgen Förster and   
                    Knut Petras   On estimates for the weights in Gaussian
                                  quadrature in the ultraspherical case    243--264
              Philip Rabinowitz   Numerical evaluation of Cauchy principal
                                  value integrals with singular integrands 265--276
            Harald Niederreiter   Lower bounds for the discrepancy of
                                  inversive congruential pseudorandom
                                  numbers  . . . . . . . . . . . . . . . . 277--287
            Ricardo A. Mitchell   Error estimates arising from certain
                                  pseudorandom sequences in a quasi-random
                                  search method  . . . . . . . . . . . . . 289--297
               Frank Garvan and   
                 Dennis Stanton   Sieved partition functions and
                                  $q$-binomial coefficients  . . . . . . . 299--311
            Gilbert W. Fung and   
                 H. C. Williams   On the computation of a table of complex
                                  cubic fields with discriminant ${D} >
                                  -10^6$ . . . . . . . . . . . . . . . . . 313--325
              Kenneth Hardy and   
           Joseph B. Muskat and   
            Kenneth S. Williams   A Deterministic Algorithm for Solving $n
                                  = fu^2 + gv^2$ in Coprime Integers $u$
                                  and $v$  . . . . . . . . . . . . . . . . 327--343
                 G. W. Fung and   
                 H. C. Williams   Quadratic polynomials which have a high
                                  density of prime values  . . . . . . . . 345--353
                      Eric Bach   Explicit bounds for primality testing
                                  and related problems . . . . . . . . . . 355--380
               B. K. Parady and   
              Joel F. Smith and   
         Sergio E. Zarantonello   Largest Known Twin Primes  . . . . . . . 381--382
               Gerhard Jaeschke   The Carmichael Numbers to $10^{12}$  . . 383--389
              K. S. Kölbig   Book Review: \booktitleComputation of
                                  Functions on Electronic Computers ---
                                  Handbook (in Russian). Naukova Dumka,
                                  Kiev, 194, 599pp, by B. A. Popov, G. S.
                                  Tesler . . . . . . . . . . . . . . . . . 395--397
               Charles Chui and   
                   Tian Xiao He   Corrigenda: ``On the dimension of
                                  bivariate superspline spaces'' [Math.
                                  Comp. \bf 53 (1989), no. 187, 219--234,
                                  MR 90c:41014]  . . . . . . . . . . . . . 407--409

Mathematics of Computation
Volume 55, Number 192, October, 1990

                Kevin T. Phelps   Supplement to Cyclic Large Sets of
                                  Steiner Triple Systems of Order 15 . . . S1--S6
             Susanne C. Brenner   A nonconforming multigrid method for the
                                  stationary Stokes equations  . . . . . . 411--437
                 Shangyou Zhang   Optimal-order nonnested multigrid
                                  methods for solving finite element
                                  equations II: On non-quasi-uniform
                                  meshes . . . . . . . . . . . . . . . . . 439--450
        Kendall E. Atkinson and   
                Graeme Chandler   Boundary integral equation methods for
                                  solving Laplace's equation with
                                  nonlinear boundary conditions: The
                                  smooth boundary case . . . . . . . . . . 451--472
        Ohannes Karakashian and   
               William McKinney   On optimal high-order in time
                                  approximations for the Korteweg--de
                                  Vries equation . . . . . . . . . . . . . 473--496
         Graeme Fairweather and   
           J. M. Sanz-Serna and   
                    I. Christie   A stabilized Galerkin method for a
                                  third-order evolutionary problem . . . . 497--507
         Alexander Eydeland and   
                Joel Spruck and   
               Bruce Turkington   Multiconstrained variational problems of
                                  nonlinear eigenvalue type: New
                                  formulations and algorithms  . . . . . . 509--535
                       Y. Maday   Analysis of spectral projectors in
                                  one-dimensional domains  . . . . . . . . 537--562
                   R. A. Renaut   Two-step Runge--Kutta methods and
                                  hyperbolic partial differential
                                  equations  . . . . . . . . . . . . . . . 563--579
                 Shou Fu Li and   
                    Baogen Ruan   Nonlinear stability of multistep
                                  multiderivative methods  . . . . . . . . 581--589
             Renato Spigler and   
                 Marco Vianello   A numerical method for evaluating zeros
                                  of solutions of second-order linear
                                  differential equations . . . . . . . . . 591--612
               Hongyuan Zha and   
           Per Christian Hansen   Regularization and the General
                                  Gauss--Markov Linear Model . . . . . . . 613--624
           Ronald A. DeVore and   
                  Xiang Ming Yu   Degree of Adaptive Approximation . . . . 625--635
              R. T. Farouki and   
                     C. A. Neff   On the numerical condition of
                                  Bernstein--Bézier subdivision processes   637--647
             Franz Peherstorfer   On Stieltjes polynomials and
                                  Gauss--Kronrod quadrature  . . . . . . . 649--664
               Bernard Bialecki   A Sinc--Hunter quadrature rule for
                                  Cauchy principal value integrals . . . . 665--681
                Franz-J. Delvos   Boolean methods for double integration   683--692
           Kevin M. Dempsey and   
                  Dajin Liu and   
                John P. Dempsey   Plana's Summation Formula for
                                  $\sum^\infty_{m=1,3,\ldots} m^{-2}
                                  \sin(m \alpha), m^{-3} \cos(m\alpha),
                                  m^{-2} {A}^m, m^{-3} {A}^m$  . . . . . . 693--703
 László Babai and   
            Lajos Rónyai   Computing irreducible representations of
                                  finite groups  . . . . . . . . . . . . . 705--722
            Joseph H. Silverman   The difference between the Weil height
                                  and the canonical height on elliptic
                                  curves . . . . . . . . . . . . . . . . . 723--743
                        J. Pila   Frobenius maps of Abelian varieties and
                                  finding roots of unity in finite fields  745--763
                      J. Lehner   The local Hurwitz constant and
                                  Diophantine approximation on Hecke
                                  groups . . . . . . . . . . . . . . . . . 765--781
                       S. Gurak   Pseudoprimes for higher-order linear
                                  recurrence sequences . . . . . . . . . . 783--813
          Jeffrey M. Kubina and   
           Marvin C. Wunderlich   Extending Waring's conjecture to
                                  $471,600,000$  . . . . . . . . . . . . . 815--820
                Kevin T. Phelps   Cyclic large sets of Steiner triple
                                  systems of order 15  . . . . . . . . . . 821--824, S1--S6
             C. Koukouvinos and   
                 S. Kounias and   
                K. Sotirakoglou   On Base and Turyn Sequences  . . . . . . 825--837
        Jürgen Spieß   Some Identities Involving Harmonic
                                  Numbers  . . . . . . . . . . . . . . . . 839--863


Mathematics of Computation
Volume ??, Number ??, October, 1991

              J. H. Bramble and   
              J. E. Pasciak and   
                          J. Xu   Parallel multilevel preconditioners
                                  correction: A unifying approach  . . . . ??


Mathematics of Computation
Volume 56, Number 193, January, 1991

           James H. Bramble and   
          Joseph E. Pasciak and   
                     Jinchao Xu   The analysis of multigrid algorithms
                                  with nonnested spaces or noninherited
                                  quadratic forms  . . . . . . . . . . . . 1--34
                 A. K. Aziz and   
                      J.-L. Liu   A Galerkin method for the
                                  forward-backward heat equation . . . . . 35--44
           Georges-Henri Cottet   Large-time behavior of deterministic
                                  particle approximations to the
                                  Navier--Stokes equations . . . . . . . . 45--59
                     T. Lin and   
                J. Sochacki and   
                   R. Ewing and   
                      J. George   Some grid refinement schemes for
                                  hyperbolic equations with piecewise
                                  constant coefficients  . . . . . . . . . 61--86
             Robert Glassey and   
                 Jack Schaeffer   Convergence of a second-order scheme for
                                  semilinear hyperbolic equations in 2 + 1
                                  dimensions . . . . . . . . . . . . . . . 87--106
                  I-Liang Chern   Large-time behavior of solutions of
                                  Lax--Friedrichs finite difference
                                  equations for hyperbolic systems of
                                  conservation laws  . . . . . . . . . . . 107--118
        Kendall E. Atkinson and   
                   Ian H. Sloan   The numerical solution of first-kind
                                  logarithmic-kernel integral equations on
                                  smooth open arcs . . . . . . . . . . . . 119--139
             Hideaki Kaneko and   
                    Yuesheng Xu   Degenerate Kernel Method for Hammerstein
                                  Equations  . . . . . . . . . . . . . . . 141--148
         P. P. B. Eggermont and   
                   C. H. Lubich   Uniform error estimates of operational
                                  quadrature methods for nonlinear
                                  convolution equations on the half-line   149--176
             H. W. J. Lenferink   Contractivity-preserving implicit linear
                                  multistep methods  . . . . . . . . . . . 177--199
                Claus Schneider   Rosenbrock-type methods adapted to
                                  differential-algebraic systems . . . . . 201--213
            Howard C. Elman and   
                  Gene H. Golub   Iterative methods for cyclically reduced
                                  nonselfadjoint linear systems. II  . . . 215--242
               J. N. Lyness and   
          T. Sòrevik and   
                       P. Keast   Notes on Integration and Integer
                                  Sublattices  . . . . . . . . . . . . . . 243--255
               Shaun Disney and   
                   Ian H. Sloan   Error Bounds for the Method of Good
                                  Lattice Points . . . . . . . . . . . . . 257--266
                  B. C. Carlson   A table of elliptic integrals: One
                                  quadratic factor . . . . . . . . . . . . 267--280
                  G. Steidl and   
                      M. Tasche   A polynomial approach to fast algorithms
                                  for discrete Fourier-cosine and
                                  Fourier-sine transforms  . . . . . . . . 281--296
Jürgen Eichenauer-Herrmann   Inversive congruential pseudorandom
                                  numbers avoid the planes . . . . . . . . 297--301
                  A. Ivi\'c and   
              H. J. J. te Riele   On the Zeros of the Error Term for the
                                  Mean Square of $|\zeta(\frac{1}{2} +
                                  it)|$  . . . . . . . . . . . . . . . . . 303--328
             H. W. Lenstra, Jr.   Finding Isomorphisms Between Finite
                                  Fields . . . . . . . . . . . . . . . . . 329--347
               L. N. Vaserstein   Sums of Cubes in Polynomial Rings  . . . 349--357
                M. Aaltonen and   
                      K. Inkeri   Catalan's equation $x^p -y^q = 1$ and
                                  related congruences  . . . . . . . . . . 359--370
                    Steven Arno   A Note on Perrin Pseudoprimes  . . . . . 371--376

Mathematics of Computation
Volume 56, Number 194, April, 1991

                 F. Diaz y Diaz   Supplement to A Table of Totally Real
                                  Quintic Number Fields  . . . . . . . . . S1--S12
           Charles I. Goldstein   Multigrid analysis of finite element
                                  methods with numerical integration . . . 409--436
                R. E. Ewing and   
              R. D. Lazarov and   
              P. S. Vassilevski   Local refinement techniques for elliptic
                                  problems on cell-centered grids. I.
                                  Error analysis . . . . . . . . . . . . . 437--461
           James H. Bramble and   
                     Jinchao Xu   Some Estimates for a Weighted ${L}^2$
                                  Projection . . . . . . . . . . . . . . . 463--476
                  Jun Ping Wang   Superconvergence and extrapolation for
                                  mixed finite element methods on
                                  rectangular domains  . . . . . . . . . . 477--503
        Georgios D. Akrivis and   
          Vassilios A. Dougalis   Finite difference discretizations of
                                  some initial and boundary value problems
                                  with interface . . . . . . . . . . . . . 505--522
          Max D. Gunzburger and   
              Amnon J. Meir and   
              Janet S. Peterson   On the existence, uniqueness, and finite
                                  element approximation of solutions of
                                  the equations of stationary,
                                  incompressible magnetohydrodynamics  . . 523--563
             David Gottlieb and   
                   Eitan Tadmor   The CFL condition for spectral
                                  approximations to hyperbolic
                                  initial-boundary value problems  . . . . 565--588
                Thomas Hagstrom   Asymptotic boundary conditions for
                                  dissipative waves: General theory  . . . 589--606
                 Ming You Huang   A Hamiltonian approximation to simulate
                                  solitary waves of the Korteweg--de Vries
                                  equation . . . . . . . . . . . . . . . . 607--620
         Christian Lécot   A quasi-Monte Carlo method for the
                                  Boltzmann equation . . . . . . . . . . . 621--644
             Brynjulf Owren and   
                 Marino Zennaro   Order barriers for continuous explicit
                                  Runge--Kutta methods . . . . . . . . . . 645--661
              Martin Stynes and   
               Eugene O'Riordan   An analysis of a singularly perturbed
                                  two-point boundary value problem using
                                  only finite element techniques . . . . . 663--675
                       Qiang Ye   A convergence analysis for nonsymmetric
                                  Lánczos algorithms  . . . . . . . . . . . 677--691
                   T. Y. Li and   
                 Xiao Shen Wang   Solving deficient polynomial systems
                                  with homotopies which keep the
                                  subschemes at infinity invariant . . . . 693--710
              Bernd Fischer and   
                  Gene H. Golub   On generating polynomials which are
                                  orthogonal over several intervals  . . . 711--730
              Philip Rabinowitz   Uniform convergence results for Cauchy
                                  principal value integrals  . . . . . . . 731--740
         Takemitsu Hasegawa and   
                   Tatsuo Torii   An automatic quadrature for Cauchy
                                  principal value integrals  . . . . . . . 741--754
               Daniela Calvetti   A stochastic roundoff error analysis for
                                  the Fast Fourier Transform . . . . . . . 755--774
         Richard Blecksmith and   
             John Brillhart and   
                   Irving Gerst   On a Certain $(\operatorname{Mod} 2)$
                                  Identity and a Method of Proof by
                                  Expansion  . . . . . . . . . . . . . . . 775--794
                   Henri Darmon   Note on a Polynomial of Emma Lehmer  . . 795--800
                 F. Diaz y Diaz   A Table of Totally Real Quintic Number
                                  Fields . . . . . . . . . . . . . . . . . 801--808, S1--S12
          Stanislav Jakubec and   
               Juraj Kostra and   
                   Karol Nemoga   On the existence of an integral normal
                                  basis generated by a unit in prime
                                  extensions of rational numbers . . . . . 809--815
           Yoshiharu Kurita and   
               Makoto Matsumoto   Primitive $t$-Nomials $(t = 3, 5)$ Over
                                  ${GF}(2)$ Whose Degree is a Mersenne
                                  Exponent $\leq 44497$  . . . . . . . . . 817--821
         Brigitte Vallée   Generation of elements with small
                                  modular squares and provably fast
                                  integer factoring algorithms . . . . . . 823--849
                 R. Ernvall and   
        T. Metsänkylä   Cyclotomic invariants for primes between
                                  $125\,000$ and $150\,000$  . . . . . . . 851--858
               Patrick Costello   Amicable Pairs of the Form $(i, 1)$  . . 859--865
             W. N. Colquitt and   
                  L. Welsh, Jr.   A New Mersenne Prime . . . . . . . . . . 867--870
              Achim Flammenkamp   New Sociable Numbers . . . . . . . . . . 871--873


Mathematics of Computation
Volume 57, Number 195, July, 1991

             R. H. Nochetto and   
                 M. Paolini and   
                       C. Verdi   Supplement to An Adaptive Finite Element
                                  Method for Two-Phase Stefan Problems in
                                  Two Space Dimensions. Part I: Stability
                                  and Error Estimates  . . . . . . . . . . s1--s11
           James H. Bramble and   
          Joseph E. Pasciak and   
              Jun Ping Wang and   
                     Jinchao Xu   Convergence estimates for product
                                  iterative methods with applications to
                                  domain decomposition . . . . . . . . . . 1--21
           James H. Bramble and   
          Joseph E. Pasciak and   
              Jun Ping Wang and   
                     Jinchao Xu   Convergence estimates for multigrid
                                  algorithms without regularity
                                  assumptions  . . . . . . . . . . . . . . 23--45
           Eugene O'Riordan and   
                  Martin Stynes   A globally uniformly convergent finite
                                  element method for a singularly
                                  perturbed elliptic problem in two
                                  dimensions . . . . . . . . . . . . . . . 47--62
            Clint N. Dawson and   
                   Qiang Du and   
                 Todd F. Dupont   A finite difference domain decomposition
                                  algorithm for numerical solution of the
                                  heat equation  . . . . . . . . . . . . . 63--71
             R. H. Nochetto and   
                 M. Paolini and   
                       C. Verdi   An adaptive finite element method for
                                  two-phase Stefan problems in two space
                                  dimensions. Part I: Stability and error
                                  estimates  . . . . . . . . . . . . . . . 73--108, S1--S11
               J. De Frutos and   
                  T. Ortega and   
               J. M. Sanz-Serna   Pseudospectral method for the ``good''
                                  Boussinesq equation  . . . . . . . . . . 109--122
           M. D. Gunzburger and   
                     L. Hou and   
                 T. P. Svobodny   Analysis and finite element
                                  approximation of optimal control
                                  problems for the stationary
                                  Navier--Stokes equations with
                                  distributed and Neumann controls . . . . 123--151
            Dietmar Kröner   Absorbing boundary conditions for the
                                  linearized Euler equations in 2-D  . . . 153--167
Frédéric Coquel and   
              Philippe Le Floch   Convergence of finite difference schemes
                                  for conservation laws in several space
                                  dimensions: the corrected antidiffusive
                                  flux approach  . . . . . . . . . . . . . 169--210
         H. W. J. Lenferink and   
                  M. N. Spijker   On a generalization of the resolvent
                                  condition in the Kreiss matrix theorem   211--220
         H. W. J. Lenferink and   
                  M. N. Spijker   On the use of stability regions in the
                                  numerical analysis of initial value
                                  problems . . . . . . . . . . . . . . . . 221--237
  B. García-Archilla and   
               J. M. Sanz-Serna   A finite difference formula for the
                                  discretization of $d^3/dx^3$ on
                                  nonuniform grids . . . . . . . . . . . . 239--257
                   Jim Lawrence   Polytope Volume Computation  . . . . . . 259--271
                 L. Reichel and   
                G. S. Ammar and   
                    W. B. Gragg   Discrete least squares approximation by
                                  trigonometric polynomials  . . . . . . . 273--289
               J. C. Fiorot and   
                       J. Tabka   Shape-preserving ${C}^2$ cubic
                                  polynomial interpolating splines . . . . 291--298
               Peter Alfeld and   
                Maritza Sirvent   The structure of multivariate
                                  superspline spaces of high degree  . . . 299--308
                Walter Gautschi   A class of slowly convergent series and
                                  their summation by Gaussian quadrature   309--324
                Walter Gautschi   On certain slowly convergent series
                                  occurring in plate contact problems  . . 325--338
                 David R. Hayes   On the Reduction of Rank-One Drinfeld
                                  Modules  . . . . . . . . . . . . . . . . 339--349
                  David C. Hung   Even Positive Definite Unimodular
                                  Quadratic Forms over ${\mathbb Q}(\sqrt
                                  3)$  . . . . . . . . . . . . . . . . . . 351--368
               Holger W. Gollan   The $5$-modular representations of the
                                  Tits simple group in the principal block 369--386
                   D. S. Dummit   Solving Solvable Quintics  . . . . . . . 387--401
              James A. Maiorana   A Classification of the Cosets of the
                                  Reed--Muller Code $\mathscr{R} (1, 6)$   403--414
          Randall Dougherty and   
                 Heeralal Janwa   Covering Radius Computations for Binary
                                  Cyclic Codes. With microfiche supplement 415--434
                   Keith Briggs   A Precise Calculation of the Feigenbaum
                                  Constants  . . . . . . . . . . . . . . . 435--439

Mathematics of Computation
Volume 57, Number 196, October, 1991

                I. Lasiecka and   
                   R. Triggiani   Supplement to Numerical Approximations
                                  of Algebraic Riccati Equations for
                                  Abstract Systems Modelled by Analytic
                                  Semigroups, and Applications . . . . . . s13--s37
          Patricia Saavedra and   
               L. Ridgway Scott   Variational formulation of a model
                                  free-boundary problem  . . . . . . . . . 451--475
                       R. Temam   Stability analysis of the nonlinear
                                  Galerkin method  . . . . . . . . . . . . 477--505
             So-Hsiang Chou and   
                        Qian Li   Mixed finite element methods for
                                  compressible miscible displacement in
                                  porous media . . . . . . . . . . . . . . 507--527
                Richard S. Falk   Nonconforming finite element methods for
                                  the equations of linear elasticity . . . 529--550
              Bernardo Cockburn   On the Continuity in ${BV} ({\Omega})$
                                  of the ${L}^2$-Projection into Finite
                                  Element Spaces . . . . . . . . . . . . . 551--561
                     Jinchao Xu   Counterexamples concerning a weighted
                                  ${L}^2$ projection . . . . . . . . . . . 563--568
           Marie-Claude Viallon   Convergence of the two-point upstream
                                  weighting scheme . . . . . . . . . . . . 569--584
             Daniele Funaro and   
                 David Gottlieb   Convergence results for pseudospectral
                                  approximations of hyperbolic systems by
                                  a penalty-type boundary treatment  . . . 585--596
             Daniele Funaro and   
                  Otared Kavian   Approximation of some diffusion
                                  evolution equations in unbounded domains
                                  by Hermite functions . . . . . . . . . . 597--619
            Charles Collins and   
                Mitchell Luskin   Optimal-order error estimates for the
                                  finite element approximation of the
                                  solution of a nonconvex variational
                                  problem  . . . . . . . . . . . . . . . . 621--637
                I. Lasiecka and   
                   R. Triggiani   Numerical approximations of algebraic
                                  Riccati equations for abstract systems
                                  modelled by analytic semigroups, and
                                  applications . . . . . . . . . . . . . . 639--662, S13--S37
                   G. J. Cooper   On the implementation of singly implicit
                                  Runge--Kutta methods . . . . . . . . . . 663--672
                Roger Alexander   The modified Newton method in the
                                  solution of stiff ordinary differential
                                  equations  . . . . . . . . . . . . . . . 673--701
             Lothar Reichel and   
                  Gerhard Opfer   Chebyshev--Vandermonde Systems . . . . . 703--721
                   Peter Walker   Infinitely differentiable generalized
                                  logarithmic and exponential functions    723--733
            Pierre L'Ecuyer and   
                     Shu Tezuka   Structural properties for two classes of
                                  combined random number generators  . . . 735--746
                Helmut Doll and   
                      Jim Hoste   A Tabulation of Oriented Links. With
                                  microfiche supplement  . . . . . . . . . 747--761
         Lawrence C. Washington   A family of cyclic quartic fields
                                  arising from modular curves  . . . . . . 763--775
              Attila Pethö   Complete solutions to families of
                                  quartic Thue equations . . . . . . . . . 777--798
                N. Tzanakis and   
              B. M. M. de Weger   Solving a Specific Thue--Mahler Equation 799--815
                    C. J. Smyth   Ideal 9th-order multigrades and Letac's
                                  elliptic curve . . . . . . . . . . . . . 817--823
           Daniel M. Gordon and   
                 Carl Pomerance   The distribution of Lucas and elliptic
                                  pseudoprimes . . . . . . . . . . . . . . 825--838
                   Greg Fee and   
               Andrew Granville   The prime factors of Wendt's binomial
                                  circulant determinant  . . . . . . . . . 839--848
                David Moews and   
                  Paul C. Moews   A Search for Aliquot Cycles Below
                                  $10^{10}$  . . . . . . . . . . . . . . . 849--855
                R. P. Brent and   
                G. L. Cohen and   
              H. J. J. Te Riele   Improved techniques for lower bounds for
                                  odd perfect numbers  . . . . . . . . . . 857--868


Mathematics of Computation
Volume 58, Number 197, January, 1992

        Charles J. Colbourn and   
       Spyros S. Magliveras and   
               Rudolf A. Mathon   Supplement to ``Transitive Steiner and
                                  Kirkman triple systems'' by Charles J.
                                  Colbourn, Spyros S. Magliveras, and
                                  Rudolf A. Mathon . . . . . . . . . . . . S23--S27
            Karin Gatermann and   
         Christoph Hoffmann and   
                  Gerhard Opfer   Supplement to ``Explicit Faber
                                  polynomials on circular sectors''  . . . S1--S6
                J. Larry Lehman   Supplement to ``Levels of positive
                                  definite ternary quadratic forms'' by J.
                                  Larry Lehman . . . . . . . . . . . . . . S17--S22
            Harald Niederreiter   Supplement to ``The existence of
                                  efficient lattice rules for
                                  multidimensional numerical integration''
                                  by Harald Niederreiter . . . . . . . . . S7--S16
         Nasserdine Kechkar and   
                David Silvester   Analysis of locally stabilized mixed
                                  finite element methods for the Stokes
                                  problem  . . . . . . . . . . . . . . . . 1--10
              Vincent Levillain   Eigenvalue approximation by a mixed
                                  method for resonant inhomogeneous
                                  cavities with metallic boundaries  . . . 11--20
            Clint N. Dawson and   
                 Todd F. Dupont   Explicit/implicit conservative Galerkin
                                  domain decomposition procedures for
                                  parabolic problems . . . . . . . . . . . 21--34
             Willem Hundsdorfer   Unconditional convergence of some
                                  Crank--Nicolson LOD methods for
                                  initial-boundary value problems  . . . . 35--53
     Edwin F. G. van Daalen and   
                 Jan Broeze and   
           Embrecht van Groesen   Variational principles and conservation
                                  laws in the derivation of radiation
                                  boundary conditions for wave equations   55--71
                 Jan Broeze and   
         Edwin F. G. Van Daalen   Radiation boundary conditions for the
                                  two-dimensional wave equation from a
                                  variational principle  . . . . . . . . . 73--82
                  R. T. Glassey   Convergence of an energy-preserving
                                  scheme for the Zakharov equations in one
                                  space dimension  . . . . . . . . . . . . 83--102
                  Thomas Y. Hou   A New Desingularization for Vortex
                                  Methods  . . . . . . . . . . . . . . . . 103--117
               M. R. Crisci and   
                   E. Russo and   
                     A. Vecchio   Stability results for one-step
                                  discretized collocation methods in the
                                  numerical treatment of Volterra integral
                                  equations  . . . . . . . . . . . . . . . 119--134
       P. J. van der Houwen and   
            B. P. Sommeijer and   
                       W. Couzy   Embedded diagonally implicit
                                  Runge--Kutta algorithms on parallel
                                  computers  . . . . . . . . . . . . . . . 135--159
            William Rundell and   
                  Paul E. Sacks   Reconstruction techniques for classical
                                  inverse Sturm--Liouville problems  . . . 161--183
                   Alan Edelman   On the Distribution of a Scaled
                                  Condition Number . . . . . . . . . . . . 185--190
            Bernhard A. Schmitt   Krylov Approximations for Matrix Square
                                  Roots in Stiff Boundary Value Problems   191--212
                 Y. P. Hong and   
                      C.-T. Pan   Rank-revealing QR factorizations and the
                                  singular value decomposition . . . . . . 213--232
            Raymond H. Chan and   
                Man-Chung Yeung   Circulant preconditioners for Toeplitz
                                  matrices with positive continuous
                                  generating functions . . . . . . . . . . 233--240
            Karin Gatermann and   
         Christoph Hoffmann and   
                  Gerhard Opfer   Explicit Faber Polynomials on Circular
                                  Sectors  . . . . . . . . . . . . . . . . 241--253, S1--S6
                 C. K. Chui and   
           J. Stöckler and   
                     J. D. Ward   A Faber Series Approach to Cardinal
                                  Interpolation  . . . . . . . . . . . . . 255--273
                    John Strain   A fast Laplace transform based on
                                  Laguerre functions . . . . . . . . . . . 275--283
          G. W. Wasilkowski and   
                         F. Gao   On the power of adaptive information for
                                  functions with singularities . . . . . . 285--304
            Harald Niederreiter   The existence of efficient lattice rules
                                  for multidimensional numerical
                                  integration  . . . . . . . . . . . . . . 305--314, S7--S16
                 Jan Bohman and   
         Carl-Erik Fröberg   The ${\Gamma}$-function revisited: power
                                  series expansions and real-imaginary
                                  zero lines . . . . . . . . . . . . . . . 315--322
                J. F. Traub and   
              H. Wo\'zniakowski   The Monte Carlo algorithm with a
                                  pseudorandom generator . . . . . . . . . 323--339
               Stefan Cha\ladus   On the densest lattice packing of
                                  centrally symmetric octahedra  . . . . . 341--345
              Michael Grady and   
                  Morris Newman   Some divisibility properties of the
                                  subgroup counting function for free
                                  products . . . . . . . . . . . . . . . . 347--353
          Stanislav Jakubec and   
              Franti\vsek Marko   Witt equivalence classes of quartic
                                  number fields  . . . . . . . . . . . . . 355--368
                   Victor Shoup   Searching for Primitive Roots in Finite
                                  Fields . . . . . . . . . . . . . . . . . 369--380
            Nils-Peter Skoruppa   Computations of Siegel Modular Forms of
                                  Genus Two  . . . . . . . . . . . . . . . 381--398
                J. Larry Lehman   Levels of Positive Definite Ternary
                                  Quadratic Forms  . . . . . . . . . . . . 399--417, S17--S22
                     M. Olivier   The computation of sextic fields with a
                                  cubic subfield and no quadratic subfield 419--432
            René Peralta   On the distribution of quadratic
                                  residues and nonresidues modulo a prime
                                  number . . . . . . . . . . . . . . . . . 433--440
        Charles J. Colbourn and   
       Spyros S. Magliveras and   
               Rudolf A. Mathon   Transitive Steiner and Kirkman triple
                                  systems of order $27$  . . . . . . . . . 441--449, S23--S27

Mathematics of Computation
Volume 58, Number 198, April, 1992

                W. Dörfler   Supplement to ``Hierarchical bases for
                                  elliptic problems''  . . . . . . . . . . S29--S32
         Charles M. Elliott and   
                   Stig Larsson   Supplement to ``Error estimates with
                                  smooth and nonsmooth data for a finite
                                  element method for the Cahn--Hilliard
                                  equation'' . . . . . . . . . . . . . . . S33--S36
                 R. Ernvall and   
                  T. Metsankyla   Supplement to ``Computation of the zeros
                                  of $p$-adic $L$-functions''  . . . . . . S37--S53
                Daniel C. Mayer   Supplement to ``Multiplicities of
                                  dihedral discriminants'' . . . . . . . . S55--S58
           L. Ridgway Scott and   
                 Shangyou Zhang   Higher-Dimensional Nonnested Multigrid
                                  Methods  . . . . . . . . . . . . . . . . 457--466
           James H. Bramble and   
              Joseph E. Pasciak   The Analysis of Smoothers for Multigrid
                                  Algorithms . . . . . . . . . . . . . . . 467--488
              P. S. Vassilevski   Hybrid ${V}$-cycle algebraic multilevel
                                  preconditioners  . . . . . . . . . . . . 489--512
                W. Dörfler   Hierarchical Bases for Elliptic Problems 513--529, S29--S32
                 Ben Yu Guo and   
                J. J. H. Miller   Iterative and Petrov--Galerkin Methods
                                  for Solving a System of One-Dimensional
                                  Nonlinear Elliptic Equations . . . . . . 531--547
                 Koichi Niijima   A posteriori error bounds for piecewise
                                  linear approximate solutions of elliptic
                                  equations of monotone type . . . . . . . 549--560
       Ricardo Durán and   
                  Elsa Liberman   On mixed finite element methods for the
                                  Reissner--Mindlin plate model  . . . . . 561--573
                M. Costabel and   
                  F. Penzel and   
                   R. Schneider   Error Analysis of a Boundary Element
                                  Collocation Method for a Screen Problem
                                  in $\mathbb{R}^3$. . . . . . . . . . . . 575--586
                    C. Chen and   
           V. Thomée and   
                  L. B. Wahlbin   Finite element approximation of a
                                  parabolic integro-differential equation
                                  with a weakly singular kernel  . . . . . 587--602
         Charles M. Elliott and   
                   Stig Larsson   Error estimates with smooth and
                                  nonsmooth data for a finite element
                                  method for the Cahn--Hilliard equation   603--630, S33--S36
              Gerard R. Richter   The Discontinuous Galerkin Method with
                                  Diffusion  . . . . . . . . . . . . . . . 631--643
               Anton Arnold and   
                   Francis Nier   Numerical analysis of the deterministic
                                  particle method applied to the Wigner
                                  equation . . . . . . . . . . . . . . . . 645--669
             Noel J. Walkington   Convergence of nonconforming finite
                                  element approximations to first-order
                                  linear hyperbolic equations  . . . . . . 671--691
                  G. Plonka and   
                      M. Tasche   Efficient algorithms for periodic
                                  Hermite spline interpolation . . . . . . 693--703
               Carl de Boor and   
                       Amos Ron   Computational Aspects of Polynomial
                                  Interpolation in Several Variables . . . 705--727
                  Harvey Dubner   Partitions Approximated by Finite
                                  Cosine-Series  . . . . . . . . . . . . . 729--736
               M. Di Natale and   
                 L. Gotusso and   
                  R. Pavani and   
                        D. Roux   On the Choice of Parameter in a Method
                                  for the Inversion of Fourier Series  . . 737--744
            Sotirios E. Notaris   On Gauss--Kronrod quadrature formulae of
                                  Chebyshev type . . . . . . . . . . . . . 745--753
                    N. M. Temme   Asymptotic Inversion of Incomplete Gamma
                                  Functions  . . . . . . . . . . . . . . . 755--764
                   J. B. Keiper   Power Series Expansions of Riemann's
                                  $\xi$ Function . . . . . . . . . . . . . 765--773
Jürgen Eichenauer-Herrmann and   
            Harald Niederreiter   Lower bounds for the discrepancy of
                                  inversive congruential pseudorandom
                                  numbers with power of two modulus  . . . 775--779
        Gerard van der Geer and   
         René Schoof and   
           Marcel van der Vlugt   Weight Formulas for Ternary Melas Codes  781--792
            F. Gouvêa and   
                       B. Mazur   Families of Modular Eigenforms . . . . . 793--805
                Dorian Goldfeld   On the Computational Complexity of
                                  Modular Symbols  . . . . . . . . . . . . 807--814
                 R. Ernvall and   
        T. Metsänkylä   Computation of the Zeros of $p$-ADIC
                                  ${L}$-Functions  . . . . . . . . . . . . 815--830, S37--S53
                Daniel C. Mayer   Multiplicities of Dihedral Discriminants 831--847, S55--S58
               Ilaria Del Corso   Factorization of Prime Ideal Extensions
                                  in Number Rings  . . . . . . . . . . . . 849--853


Mathematics of Computation
Volume 59, Number 199, July, 1992

             Andrew Bremner and   
                 Richard K. Guy   Supplement to ``Nu-configurations in
                                  tiling the square''  . . . . . . . . . . S1--S20
        Charles J. Colbourn and   
       Spyros S. Magliveras and   
                  D. R. Stinson   Supplement to ``Steiner triple systems
                                  of order 19 with nontrivial automorphism
                                  group''  . . . . . . . . . . . . . . . . S25--S27
                   Karl Dilcher   Supplement to ``Generalized Euler
                                  constants for arithmetical
                                  progressions'' . . . . . . . . . . . . . S21--S24
              Uday Banerjee and   
                     Manil Suri   The effect of numerical quadrature in
                                  the $p$-version of the finite element
                                  method . . . . . . . . . . . . . . . . . 1--20
                 Hou De Han and   
                    Xiao Nan Wu   The Approximation of the Exact Boundary
                                  Conditions at an Artificial Boundary for
                                  Linear Elastic Equations and its
                                  Application  . . . . . . . . . . . . . . 21--37
                      Jiang Zhu   Finite element approximation to
                                  initial-boundary value problems of the
                                  semiconductor device equations with
                                  magnetic influence . . . . . . . . . . . 39--62
         Christine Bernardi and   
        Giuseppe Coppoletta and   
                     Yvon Maday   Some spectral approximations of
                                  two-dimensional fourth-order problems    63--76
        Christopher Beattie and   
                 W. M. Greenlee   Improved Convergence Rates for
                                  Intermediate Problems  . . . . . . . . . 77--95
            Wolfgang Dahmen and   
       Charles A. Micchelli and   
              Hans-Peter Seidel   Blossoming begets ${B}$-spline bases
                                  built better by ${B}$-patches  . . . . . 97--115
                 D. S. Meek and   
                   D. J. Walton   Clothoid Spline Transition Spirals . . . 117--133
                  G. W. Stewart   Error Analysis of QR Updating with
                                  Exponential Windowing  . . . . . . . . . 135--140
            Steve Batterson and   
                      David Day   Linear convergence in the shifted ${QR}$
                                  algorithm  . . . . . . . . . . . . . . . 141--151
              P. Feinsilver and   
                      R. Schott   On Bessel functions and rate of
                                  convergence of zeros of Lommel
                                  polynomials  . . . . . . . . . . . . . . 153--156
                 J. Boersma and   
                  J. P. Dempsey   On the numerical evaluation of
                                  Legendre's chi-function  . . . . . . . . 157--163
                  B. C. Carlson   A Table of Elliptic Integrals: Two
                                  Quadratic Factors  . . . . . . . . . . . 165--180
       Karlheinz Gröchenig   Reconstruction Algorithms in Irregular
                                  Sampling . . . . . . . . . . . . . . . . 181--194
             Andrew Bremner and   
                 Richard K. Guy   Nu-Configurations in Tiling the Square   195--202, S1--S20
                 R. J. Stroeker   Improvement of Nakamula's upper bound
                                  for the absolute discriminant of a
                                  sextic number field with two real
                                  conjugates . . . . . . . . . . . . . . . 203--211
      Stéphane Louboutin   ${L}$-functions and class numbers of
                                  imaginary quadratic fields and of
                                  quadratic extensions of an imaginary
                                  quadratic field  . . . . . . . . . . . . 213--230
                Harvey Cohn and   
                  Jesse Deutsch   Some Singular Moduli for ${Q}(\sqrt 3)$  231--247
                 R. Ernvall and   
        T. Metsänkylä   Cyclotomic Invariants for Primes to One
                                  Million  . . . . . . . . . . . . . . . . 249--250
           Renate Scheidler and   
               Hugh C. Williams   A method of tabulating the
                                  number-theoretic function $g(k)$ . . . . 251--257
                   Karl Dilcher   Generalized Euler constants for
                                  arithmetical progressions  . . . . . . . 259--282, S21--S24
        Charles J. Colbourn and   
       Spyros S. Magliveras and   
                  D. R. Stinson   Steiner triple systems of order $19$
                                  with nontrivial automorphism group . . . 283--295, S25--S27
                      Anonymous   Corrigenda: ``Solving Solvable
                                  Quintics'' [Math. Comp. \bf 57 (1991),
                                  no. 195, 387--401, MR 91j:12005] by D.
                                  S. Dummit  . . . . . . . . . . . . . . . 309--309

Mathematics of Computation
Volume 59, Number 200, October, 1992

          Bernardo Cockburn and   
                 Ioana Triandaf   Supplement to ``Convergence of a finite
                                  element method for the drift-diffusion
                                  semiconductor device equations: the zero
                                  diffusion case'' . . . . . . . . . . . . S29--S46
                 Tom Hansen and   
                 Gary L. Mullen   Supplement to ``Primitive polynomials
                                  over finite fields'' . . . . . . . . . . S47--S50
                 Jinchao Xu and   
                 Xiao-Chuan Cai   A preconditioned GMRES method for
                                  nonsymmetric or indefinite problems  . . 311--319
         Susanne C. Brenner and   
                Li-Yeng Y. Sung   Linear finite element methods for planar
                                  linear elasticity  . . . . . . . . . . . 321--338
                 P. Lesaint and   
                      J. Pousin   Error estimates for a nonlinear
                                  degenerate parabolic problem . . . . . . 339--358
                Endre Süli   The accuracy of cell vertex finite
                                  volume methods on quadrilateral meshes   359--382
          Bernardo Cockburn and   
                 Ioana Triandaf   Convergence of a finite element method
                                  for the drift-diffusion semiconductor
                                  device equations: the zero diffusion
                                  case . . . . . . . . . . . . . . . . . . 383--401, S29--S46
               A. Ostermann and   
                       M. Roche   Runge--Kutta methods for partial
                                  differential equations and fractional
                                  orders of convergence  . . . . . . . . . 403--420
              Z. Jackiewicz and   
                     M. Zennaro   Variable-stepsize explicit two-step
                                  Runge--Kutta methods . . . . . . . . . . 421--438
             Daniel Okunbor and   
                Robert D. Skeel   Explicit Canonical Methods for
                                  Hamiltonian Systems  . . . . . . . . . . 439--455
José Mario Martínez   On the Relation between Two Local
                                  Convergence Theories of Least-Change
                                  Secant Update Methods  . . . . . . . . . 457--481
                   T. Y. Li and   
                 Zhonggang Zeng   Homotopy-Determinant Algorithm for
                                  Solving Nonsymmetric Eigenvalue Problems 483--502
             B. Z. Kacewicz and   
                    L. Plaskota   Termination conditions for approximating
                                  linear problems with noisy information   503--513
         Giuliana Criscuolo and   
       Giuseppe Mastroianni and   
    Péter Vértesi   Pointwise simultaneous convergence of
                                  extended Lagrange interpolation with
                                  additional knots . . . . . . . . . . . . 515--531
               R. Grothmann and   
                  H. N. Mhaskar   Detection of singularities using segment
                                  approximation  . . . . . . . . . . . . . 533--540
                   David Galant   Algebraic methods for modified
                                  orthogonal polynomials . . . . . . . . . 541--546
                        Yuan Xu   Gaussian cubature and bivariate
                                  polynomial interpolation . . . . . . . . 547--555
                Stephen Joe and   
                   Ian H. Sloan   On Computing the Lattice Rule Criterion
                                  ${R}$  . . . . . . . . . . . . . . . . . 557--568
               Daniela Calvetti   A Stochastic Roundoff Error Analysis for
                                  the Convolution  . . . . . . . . . . . . 569--582
           F. C. Bussemaker and   
                    A. Neumaier   Exceptional Graphs with Smallest
                                  Eigenvalue $-2$ And Related Problems.
                                  With microfiche supplement . . . . . . . 583--608
             Meng Chee Yeow and   
                Gordon F. Royle   Enumeration of Small Nonisomorphic
                                  $1$-Rotational Twofold Triple Systems.
                                  With microfiche supplement . . . . . . . 609--612
              D. R. Heath-Brown   The density of zeros of forms for which
                                  weak approximation fails . . . . . . . . 613--623
               R. A. Mollin and   
                 H. C. Williams   On Real Quadratic Fields of Class Number
                                  Two  . . . . . . . . . . . . . . . . . . 625--632
           James J. Solderitsch   Quadratic Fields with Special Class
                                  Groups . . . . . . . . . . . . . . . . . 633--638
                 Tom Hansen and   
                 Gary L. Mullen   Primitive Polynomials Over Finite Fields 639--643, S47--S50
               Gerhard Hiss and   
              Josephine Shamash   $2$-blocks and $2$-modular characters of
                                  the Chevalley groups ${G}_2(q)$  . . . . 645--672
                  Avner Ash and   
                 Mark McConnell   Doubly Cuspidal Cohomology for Principal
                                  Congruence Subgroups of
                                  $\mathrm{GL}(3,\mathbb{Z})$  . . . . . . 673--688
                Robert Sandling   Presentations for unit groups of modular
                                  group algebras of groups of order $16$   689--701
         Jean-Joël Delorme   On the Diophantine Equation $x^6_1 +
                                  x^6_2 + x^6_3 = y^6_1 + y^6_2 + y^6_3$   703--715
               J. P. Buhler and   
             R. E. Crandall and   
                R. W. Sompolski   Irregular Primes to One Million  . . . . 717--722
            S. M. Rudolpher and   
                   P. C. Watson   Table Errata Abramowitz and Stegun,
                                  Editors  . . . . . . . . . . . . . . . . 727--727


Mathematics of Computation
Volume 60, Number 201, January, 1993

           James H. Bramble and   
              Zbigniew Leyk and   
              Joseph E. Pasciak   Iterative schemes for nonsymmetric and
                                  indefinite elliptic boundary value
                                  problems . . . . . . . . . . . . . . . . 1--22
             Torgeir Rusten and   
                 Ragnar Winther   Substructure preconditioners for
                                  elliptic saddle point problems . . . . . 23--48
                   Howard Swann   On the use of Lagrange multipliers in
                                  domain decomposition for solving
                                  elliptic problems  . . . . . . . . . . . 49--78
           Donald A. French and   
                 J. Thomas King   Analysis of a robust finite element
                                  approximation for a parabolic equation
                                  with rough boundary data . . . . . . . . 79--104
                 Ch. Lubich and   
                   A. Ostermann   Runge--Kutta methods for parabolic
                                  equations and convolution quadrature . . 105--131
                 Nai Ying Zhang   On fully discrete Galerkin
                                  approximations for partial
                                  integro-differential equations of
                                  parabolic type . . . . . . . . . . . . . 133--166
           Kenneth Eriksson and   
                  Claes Johnson   Adaptive Streamline Diffusion finite
                                  element methods for stationary
                                  convection-diffusion problems  . . . . . 167--188, S1--S2
            J. A. Mackenzie and   
                   K. W. Morton   Finite volume solutions of
                                  convection-diffusion test problems . . . 189--220
               Helge Holden and   
            Nils Henrik Risebro   A method of fractional steps for scalar
                                  conservation laws without the CFL
                                  condition  . . . . . . . . . . . . . . . 221--232
               Jian Guo Liu and   
                  Zhou Ping Xin   ${L}^1$-stability of stationary discrete
                                  shocks . . . . . . . . . . . . . . . . . 233--244
                   Eitan Tadmor   Total variation and error estimates for
                                  spectral viscosity approximations  . . . 245--256
            Stefan Heinrich and   
             Peter Mathé   The Monte Carlo complexity of Fredholm
                                  integral equations . . . . . . . . . . . 257--278
                  Seymour Haber   Two formulas for numerical indefinite
                                  integration  . . . . . . . . . . . . . . 279--296
                   John A. Crow   Quadrature of integrands with a
                                  logarithmic singularity  . . . . . . . . 297--301
    Clément Frappier and   
                Patrick Olivier   A quadrature formula involving zeros of
                                  Bessel functions . . . . . . . . . . . . 303--316
                F. Peherstorfer   On the remainder of Gaussian quadrature
                                  formulas for Bernstein--Szeg\Ho weight
                                  functions  . . . . . . . . . . . . . . . 317--325
           Peter J. Grabner and   
                Robert F. Tichy   Spherical designs, discrepancy and
                                  numerical integration  . . . . . . . . . 327--336
                    Horst Alzer   Some gamma function inequalities . . . . 337--346
              Elliot Linzer and   
                   Ephraim Feig   Modified FFTs for fused multiply-add
                                  architectures  . . . . . . . . . . . . . 347--361
                Da Kai Wang and   
              Aaldert Compagner   On the use of reducible polynomials as
                                  random number generators . . . . . . . . 363--374
Jürgen Eichenauer-Herrmann   Statistical independence of a new class
                                  of inversive congruential pseudorandom
                                  numbers  . . . . . . . . . . . . . . . . 375--384
                   S. Gupta and   
                      D. Zagier   On the coefficients of the minimal
                                  polynomials of Gaussian periods  . . . . 385--398
             A. O. L. Atkin and   
                      F. Morain   Finding suitable curves for the elliptic
                                  curve method of factorization  . . . . . 399--405
          Alfred J. Menezes and   
          Scott A. Vanstone and   
           Robert J. Zuccherato   Counting points on elliptic curves over
                                  $\mbox{\bf F}_{2^m}$ . . . . . . . . . . 407--420
               H. J. Godwin and   
                    J. R. Smith   On the Euclidean nature of four cyclic
                                  cubic fields . . . . . . . . . . . . . . 421--423
                    Jukka Pihko   On the minimal elements for the sequence
                                  of all powers in the Lemoine--Kátai
                                  algorithm  . . . . . . . . . . . . . . . 425--430
                          H. N.   Book Review: \booktitleRandom Number
                                  Generators and Simulation, by István Deák  442--442

Mathematics of Computation
Volume 60, Number 202, April, 1993

            Raymond Couture and   
            Pierre L'Ecuyer and   
                     Shu Tezuka   Supplement to ``On the distribution of
                                  $k$-dimensional vectors for simple and
                                  combined Tausworthe sequences''  . . . . S11--S16
             Taizo Kanenobu and   
                    Toshio Sumi   Supplement to ``Polynomial invariants of
                                  2-bridge knots through 22 crossings''    S17--S28
          Per Lötstedt and   
              Bertil Gustafsson   Supplement to ``Fourier analysis of
                                  multigrid methods for general systems of
                                  PDEs'' . . . . . . . . . . . . . . . . . S3--S9
           Gerhard A. Schneider   Supplement to ``The structure of the
                                  projective indecomposable modules of the
                                  Suzuki group Sz(8) in characteristic 2'' S29--S32
           James H. Bramble and   
              Joseph E. Pasciak   New estimates for multilevel algorithms
                                  including the ${V}$-cycle  . . . . . . . 447--471
          Per Lötstedt and   
              Bertil Gustafsson   Fourier analysis of multigrid methods
                                  for general systems of PDEs  . . . . . . 473--493, S3--S9
        Christophe Devulder and   
             Martine Marion and   
                 Edriss S. Titi   On the rate of convergence of the
                                  nonlinear Galerkin methods . . . . . . . 495--514
        J.-P. Lohéac and   
                   F. Nataf and   
                   M. Schatzman   Parabolic approximations of the
                                  convection-diffusion equation  . . . . . 515--530
             Tian Xiao Zhou and   
                    Min Fu Feng   A least squares Petrov--Galerkin finite
                                  element method for the stationary
                                  Navier--Stokes equations . . . . . . . . 531--543
           Bernard Bialecki and   
              Ryan I. Fernandes   Orthogonal spline collocation
                                  Laplace-modified and
                                  alternating-direction methods for
                                  parabolic problems on rectangles . . . . 545--573
             Martin Buhmann and   
                  Arieh Iserles   Stability of the discretized pantograph
                                  differential equation  . . . . . . . . . 575--589
             R. A. Trompert and   
                   J. G. Verwer   Runge--Kutta methods and local uniform
                                  grid refinement  . . . . . . . . . . . . 591--616
                    L. Abia and   
               J. M. Sanz-Serna   Partitioned Runge--Kutta methods for
                                  separable Hamiltonian problems . . . . . 617--634
           Mohamed Bin Suleiman   Some necessary conditions for
                                  convergence of the GBDF methods  . . . . 635--649
           Paul N. Swarztrauber   A parallel algorithm for computing the
                                  eigenvalues of a symmetric tridiagonal
                                  matrix . . . . . . . . . . . . . . . . . 651--668
                   T. Y. Li and   
                 Xiao Shen Wang   Solving real polynomial systems with
                                  real homotopies  . . . . . . . . . . . . 669--680
José Mario Martínez   A theory of secant preconditioners . . . 681--698
         P. P. B. Eggermont and   
                     Ch. Lubich   Operational quadrature methods for
                                  Wiener--Hopf integral equations  . . . . 699--718
         Takemitsu Hasegawa and   
             Hirosi Sugiura and   
                   Tatsuo Torii   Positivity of the weights of extended
                                  Clenshaw--Curtis quadrature rules  . . . 719--734
               Allan J. MacLeod   Chebyshev expansions for modified Struve
                                  and related functions  . . . . . . . . . 735--747
            Raymond Couture and   
            Pierre L'Ecuyer and   
                     Shu Tezuka   On the distribution of $k$-dimensional
                                  vectors for simple and combined
                                  Tausworthe sequences . . . . . . . . . . 749--761, S11--S16
                 Shu Tezuka and   
               Masanori Fushimi   Calculation of Fibonacci polynomials for
                                  GFSR sequences with low discrepancies    763--770
             Taizo Kanenobu and   
                    Toshio Sumi   Polynomial invariants of $2$-bridge
                                  knots through $22$ crossings . . . . . . 771--778, S17--S28
        Gerhard J. A. Schneider   The structure of the projective
                                  indecomposable modules of the Suzuki
                                  group ${\rm Sz}(8)$ in characteristic
                                  $2$  . . . . . . . . . . . . . . . . . . 779--786, S29--S32
            Igor E. Shparlinski   On bivariate polynomial factorization
                                  over finite fields . . . . . . . . . . . 787--791
                   M. Pohst and   
          J. Graf von Schmettow   On the computation of unit groups and
                                  class groups of totally complex quartic
                                  fields . . . . . . . . . . . . . . . . . 793--800
                Hiroyuki Fujita   The minimum discriminant of totally real
                                  algebraic number fields of degree $9$
                                  with cubic subfields . . . . . . . . . . 801--810
                   Robert Styer   Small two-variable exponential
                                  Diophantine equations  . . . . . . . . . 811--816
                 W. Plesken and   
                       M. Pohst   Constructing integral lattices with
                                  prescribed minimum. II . . . . . . . . . 817--825
               Zhen Xiang Zhang   On a problem of Erd\Hos concerning
                                  primitive sequences  . . . . . . . . . . 827--834
               Zhen Xiang Zhang   A ${B}_2$-sequence with larger
                                  reciprocal sum . . . . . . . . . . . . . 835--839
                 R. G. E. Pinch   Squares in quadratic progression . . . . 841--845
               D. M. Gordon and   
                             C.   Corrigendum: ``The distribution of Lucas
                                  Pomerance and elliptic pseudoprimes''
                                  [Math. Comp. \bf 57 (1991), no. 196,
                                  825--838, MR 92h:11081]  . . . . . . . . 877--877


Mathematics of Computation
Volume 61, Number 203, July, 1993

              Walter Aiello and   
                 M. V. Subbarao   Supplement to ``A conjecture in addition
                                  chains related to Scholz's conjecture''  S1--S6
                     Wieb Bosma   Supplement to ``Explicit primality
                                  criteria for $h\cdot2^k\pm1$'' . . . . . S7--S9
               D. A. Hejhal and   
                        S. Arno   Supplement to ``On Fourier coefficients
                                  of Maass waveforms for $PSL(2,Z)$''  . . S11--S16
                  Robert Rumely   Supplement to ``Numerical computations
                                  concerning the ERH'' . . . . . . . . . . S17--S23
         Leonard M. Adleman and   
             Jonathan Demarrais   A subexponential algorithm for discrete
                                  logarithms over all finite fields  . . . 1--15
              Walter Aiello and   
                 M. V. Subbarao   A conjecture in addition chains related
                                  to Scholz's conjecture . . . . . . . . . 17--23, S1--S6
                 Tom M. Apostol   An extension of the Lehmers' picturesque
                                  exponential sums . . . . . . . . . . . . 25--28
             A. O. L. Atkin and   
                      F. Morain   Elliptic curves and primality proving    29--68
                  Eric Bach and   
             Lorenz Huelsbergen   Statistical evidence for small
                                  generating sets  . . . . . . . . . . . . 69--82
         Richard Blecksmith and   
             John Brillhart and   
                   Irving Gerst   A fundamental modular identity and some
                                  applications . . . . . . . . . . . . . . 83--95
                     Wieb Bosma   Explicit primality criteria for $h\cdot
                                  2^k\pm 1$  . . . . . . . . . . . . . . . 97--109, S7--S9
             Andrew Bremner and   
                Duncan A. Buell   Three points of great height on elliptic
                                  curves . . . . . . . . . . . . . . . . . 111--115
             Andrew Bremner and   
             Richard K. Guy and   
          Richard J. Nowakowski   Which integers are representable as the
                                  product of the sum of three integers
                                  with the sum of their reciprocals? . . . 117--130
               Richard P. Brent   On computing factors of cyclotomic
                                  polynomials  . . . . . . . . . . . . . . 131--149
                  J. Buhler and   
                R. Crandall and   
                 R. Ernvall and   
        T. Metsänkylä   Irregular primes and cyclotomic
                                  invariants to four million . . . . . . . 151--153
                    Harvey Cohn   How branching properties determine
                                  modular equations  . . . . . . . . . . . 155--170
                   T. W. Cusick   Zaremba's conjecture and sums of the
                                  divisor function . . . . . . . . . . . . 171--176
         Ivan Damgård and   
             Peter Landrock and   
                 Carl Pomerance   Average case error estimates for the
                                  strong probable prime test . . . . . . . 177--194
         J.-M. Deshouillers and   
                       F. Dress   Numerical results for sums of five and
                                  seven biquadrates and consequences for
                                  sums of $19$ biquadrates . . . . . . . . 195--207
     Jean-Marc Deshouillers and   
           Andrew Granville and   
     W\ladys\law Narkiewicz and   
                 Carl Pomerance   An upper bound in Goldbach's problem . . 209--213
                 P. Erd\Hos and   
           C. B. Lacampagne and   
                J. L. Selfridge   Estimates of the least prime factor of a
                                  binomial coefficient . . . . . . . . . . 215--224
                 Tom Hansen and   
             Gary L. Mullen and   
            Harald Niederreiter   Good parameters for a class of node sets
                                  in quasi-Monte Carlo integration . . . . 225--234
          D. R. Heath-Brown and   
                W. M. Lioen and   
              H. J. J. Te Riele   On solving the Diophantine equation $x^3
                                  + y^3 + z^3 = k$ on a vector computer    235--244
               D. A. Hejhal and   
                        S. Arno   On Fourier coefficients of Maass
                                  waveforms for ${\rm PSL}(2,\mbox{\bf
                                  Z})$ . . . . . . . . . . . . . . . . . . 245--267, S11--S16
                Marvin I. Knopp   On the cuspidal spectrum of the
                                  arithmetic Hecke groups  . . . . . . . . 269--275
                Donald E. Knuth   Johann Faulhaber and sums of powers  . . 277--294
              Andrew J. Lazarus   Cyclotomy and delta units  . . . . . . . 295--305
                   D. H. Lehmer   The mathematical work of Morgan Ward . . 307--311
               D. H. Lehmer and   
                    Emma Lehmer   The Lehmer project . . . . . . . . . . . 313--317
              A. K. Lenstra and   
         H. W. Lenstra, Jr. and   
              M. S. Manasse and   
                  J. M. Pollard   The factorization of the ninth Fermat
                                  number . . . . . . . . . . . . . . . . . 319--349
         H. W. Lenstra, Jr. and   
                  J. O. Shallit   Continued fractions and linear
                                  recurrences  . . . . . . . . . . . . . . 351--354
                   R. A. Mollin   Ambiguous classes in quadratic fields    355--360
            Peter L. Montgomery   New solutions of $a^{p-1}\equiv 1\pmod
                                  {p^2}$ . . . . . . . . . . . . . . . . . 361--363
               Joseph B. Muskat   Generalized Fibonacci and Lucas
                                  sequences and rootfinding methods  . . . 365--372
              Andrew M. Odlyzko   Iterated absolute values of differences
                                  of consecutive primes  . . . . . . . . . 373--380
                 R. G. E. Pinch   The Carmichael numbers up to $10^{15}$   381--391
            Raphael M. Robinson   Numbers having $m$ small $m$th roots
                                  $\bmod p$  . . . . . . . . . . . . . . . 393--413
                  Robert Rumely   Numerical computations concerning the
                                  ERH  . . . . . . . . . . . . . . . . . . 415--440, 517--523, S17--S23
                    A. Schinzel   An extension of the theorem on primitive
                                  divisors in algebraic number fields  . . 441--444
        Robert D. Silverman and   
        Samuel S. Wagstaff, Jr.   A practical analysis of the elliptic
                                  curve factoring algorithm  . . . . . . . 445--462
                 H. C. Williams   How was ${F}_6$ factored . . . . . . . . 463--474
        Kenneth S. Williams and   
                  Kenneth Hardy   A refinement of H. C. Williams' $q$th
                                  root algorithm . . . . . . . . . . . . . 475--483
                      D. Zagier   Algebraic numbers close to both $0$ and
                                  $1$  . . . . . . . . . . . . . . . . . . 485--491

Mathematics of Computation
Volume 61, Number 204, October, 1993

                 Kurt Girstmair   Supplement to ``The relative class
                                  numbers of imaginary cyclic fields of
                                  degrees 4, 6, 8, and 10''  . . . . . . . S25--S27
              Harald Berger and   
             Miloslav Feistauer   Analysis of the finite element
                                  variational crimes in the numerical
                                  approximation of transonic flow  . . . . 493--521
            John W. Barrett and   
                      W. B. Liu   Finite element approximation of the
                                  $p$-Laplacian  . . . . . . . . . . . . . 523--537
                 Lucia Gastaldi   Uniform interior error estimates for the
                                  Reissner--Mindlin plate model  . . . . . 539--567
      Charalambos G. Makridakis   Finite element approximations of
                                  nonlinear elastic waves  . . . . . . . . 569--594
                  Dongwoo Sheen   Second-order absorbing boundary
                                  conditions for the wave equation in a
                                  rectangular domain . . . . . . . . . . . 595--606
             Gui-Qiang Chen and   
                   Jian-Guo Liu   Convergence of second-order schemes for
                                  isentropic gas dynamics  . . . . . . . . 607--627
             Gui Qiang Chen and   
                   Qiang Du and   
                   Eitan Tadmor   Spectral viscosity approximations to
                                  multidimensional scalar conservation
                                  laws . . . . . . . . . . . . . . . . . . 629--643
             Pravir K. Dutt and   
                    A. K. Singh   Spectral methods for periodic initial
                                  value problems with nonsmooth data . . . 645--658
               G.-H. Cottet and   
                     L. Germain   Image processing through reaction
                                  combined with nonlinear diffusion  . . . 659--673
                  Paul Muir and   
                 Brynjulf Owren   Order barriers and characterizations for
                                  continuous mono-implicit Runge--Kutta
                                  schemes  . . . . . . . . . . . . . . . . 675--699
            Man-Chung Yeung and   
                Raymond H. Chan   Circulant preconditioners for Toeplitz
                                  matrices with piecewise continuous
                                  generating functions . . . . . . . . . . 701--718
                  Ivo Marek and   
                Daniel B. Szyld   Iterative and semi-iterative methods for
                                  computing stationary probability vectors
                                  of Markov operators  . . . . . . . . . . 719--731
                 G. Alefeld and   
                F. A. Potra and   
                      Yixun Shi   On enclosing simple roots of nonlinear
                                  equations  . . . . . . . . . . . . . . . 733--744
                Knut S. Eckhoff   Accurate and efficient reconstruction of
                                  discontinuous functions from truncated
                                  series expansions  . . . . . . . . . . . 745--763
          Walter Van Assche and   
             Ingrid Vanherwegen   Quadrature formulas based on rational
                                  interpolation  . . . . . . . . . . . . . 765--783
                       H. Brass   Asymptotically optimal error bounds for
                                  quadrature rules of given degree . . . . 785--798
               J. N. Lyness and   
              T. Sòrevik   Lattice rules by component scaling . . . 799--820
                    Stephen Joe   Bounds on the lattice rule criterion
                                  ${R}$  . . . . . . . . . . . . . . . . . 821--831
            Michael Clausen and   
                    Ulrich Baum   Fast Fourier transforms for symmetric
                                  groups: theory and implementation  . . . 833--847
            Bert van Geemen and   
               Duco van Straten   The cusp forms of weight $3$ on
                                  ${\Gamma}_2(2,4,8)$  . . . . . . . . . . 849--872
          Johannes Buchmann and   
                 David Ford and   
                  Michael Pohst   Enumeration of quartic fields of small
                                  discriminant . . . . . . . . . . . . . . 873--879
                 Kurt Girstmair   The relative class numbers of imaginary
                                  cyclic fields of degrees 4, 6, 8, and 10 881--887, S25--S27
                   Meinolf Geck   The decomposition numbers of the Hecke
                                  algebra of type ${E}^*_6$  . . . . . . . 889--899
                M. Mignotte and   
                    N. Tzanakis   Arithmetical study of a certain ternary
                                  recurrence sequence and related
                                  questions  . . . . . . . . . . . . . . . 901--913
               Gerhard Jaeschke   On strong pseudoprimes to several bases  915--926
                  Harvey Dubner   Generalized repunit primes . . . . . . . 927--930
              Matti K. Sinisalo   Checking the Goldbach conjecture up to
                                  $4\cdot 10^{11}$ . . . . . . . . . . . . 931--934
                David Moews and   
                  Paul C. Moews   A search for aliquot cycles and amicable
                                  pairs  . . . . . . . . . . . . . . . . . 935--938


Mathematics of Computation
Volume 62, Number 205, January, 1994

            Richard S. Falk and   
                 John E. Osborn   Remarks on mixed finite element methods
                                  for problems with rough coefficients . . 1--19
                  Guang Yan Yin   Sinc-collocation method with
                                  orthogonalization for singular
                                  Poisson-like problems  . . . . . . . . . 21--40
              Martti Hamina and   
                  Jukka Saranen   On the spline collocation method for the
                                  single-layer heat operator equation  . . 41--64
                 A. Bendali and   
                     M. Souilah   Consistency estimates for a double-layer
                                  potential and application to the
                                  numerical analysis of the
                                  boundary-element approximation of
                                  acoustic scattering by a penetrable
                                  object . . . . . . . . . . . . . . . . . 65--91
                    C. Palencia   On the stability of variable stepsize
                                  rational approximations of holomorphic
                                  semigroups . . . . . . . . . . . . . . . 93--103
                 Jinn Liang Liu   A finite difference method for symmetric
                                  positive differential equations  . . . . 105--118
          Brahim Khobalatte and   
             Beno\^\it Perthame   Maximum principle on the entropy and
                                  second-order kinetic schemes . . . . . . 119--131
          Patrick J. Rabier and   
           Werner C. Rheinboldt   On the computation of impasse points of
                                  quasi-linear differential-algebraic
                                  equations  . . . . . . . . . . . . . . . 133--154
              Yves Tourigny and   
               Michael Grinfeld   Deciphering singularities by discrete
                                  methods  . . . . . . . . . . . . . . . . 155--169
                  Oliver Aberth   Computation of topological degree using
                                  interval arithmetic, and applications    171--178
                       Qiang Ye   A breakdown-free variation of the
                                  nonsymmetric Lánczos algorithms . . . . . 179--207
                   Zhao Jun Bai   Error analysis of the Lánczos algorithm
                                  for the nonsymmetric eigenvalue problem  209--226
                  Edward Neuman   A new formula for box splines on
                                  three-directional meshes . . . . . . . . 227--229
                    Ren Cang Li   On perturbations of matrix pencils with
                                  real spectra . . . . . . . . . . . . . . 231--265
               J. L. Lavoie and   
                 F. Grondin and   
               A. K. Rathie and   
                       K. Arora   Generalizations of Dixon's theorem on
                                  the sum of a $_3{F}_2$ . . . . . . . . . 267--276
              J. Bartolomeo and   
                     Matthew He   On Faber polynomials generated by an
                                  $m$-star . . . . . . . . . . . . . . . . 277--287
                    Zvi Drezner   Computation of the trivariate normal
                                  integral . . . . . . . . . . . . . . . . 289--294
                    Sven Ehrich   Error bounds for Gauss--Kronrod
                                  quadrature formulae  . . . . . . . . . . 295--304
           Richard Crandall and   
                    Barry Fagin   Discrete weighted transforms and
                                  large-integer arithmetic . . . . . . . . 305--324
           A. J. W. Duijvestijn   Simple perfect squared squares and
                                  $2\times 1$ squared rectangles of order
                                  $25$ . . . . . . . . . . . . . . . . . . 325--332
                Don Coppersmith   Solving homogeneous linear equations
                                  over ${\rm GF}(2)$ via block Wiedemann
                                  algorithm  . . . . . . . . . . . . . . . 333--350
         Genet M. Edmondson and   
           Jennifer Seberry and   
            Malcolm R. Anderson   On the existence of Turyn sequences of
                                  length less than $43$  . . . . . . . . . 351--362
                    Greg Butler   An inductive schema for computing
                                  conjugacy classes in permutation groups  363--383
           Miodrag \vZivkovi\'c   A table of primitive binary polynomials  385--386
                J. Buchmann and   
                   M. Pohst and   
          J. Graf von Schmettow   On unit groups and class groups of
                                  quartic fields of signature $(2,1)$  . . 387--390
                 R. Ernvall and   
        T. Metsänkylä   Computation of the zeros of $p$-adic
                                  ${L}$-functions. II  . . . . . . . . . . 391--406
              J. E. Cremona and   
                     E. Whitley   Periods of cusp forms and elliptic
                                  curves over imaginary quadratic fields   407--429

Mathematics of Computation
Volume 62, Number 206, April, 1994

               R. Verfürth   A posteriori error estimates for
                                  nonlinear problems. Finite element
                                  discretizations of elliptic equations    445--475
        Vidar Thomée and   
                Lars B. Wahlbin   Long-time numerical solution of a
                                  parabolic equation with memory . . . . . 477--496
              Thomas Y. Hou and   
           Philippe G. Le Floch   Why nonconservative schemes converge to
                                  wrong solutions: error analysis  . . . . 497--530
           Guang Shan Jiang and   
                   Chi-Wang Shu   On a cell entropy inequality for
                                  discontinuous Galerkin methods . . . . . 531--538
                T. Ha-Duong and   
                        P. Joly   On the stability analysis of boundary
                                  conditions for the wave equation by
                                  energy methods. Part I. The homogeneous
                                  case . . . . . . . . . . . . . . . . . . 539--563
                     Shou Fu Li   ${B}$-convergence properties of
                                  multistep Runge--Kutta methods . . . . . 565--575
                Ll. G. Chambers   A quick way of obtaining an approximate
                                  solution to a Sturm--Liouville problem   577--579
                Hermann Brunner   Iterated collocation methods for
                                  Volterra integral equations with delay
                                  arguments  . . . . . . . . . . . . . . . 581--599
           Pierluigi Amodio and   
               Francesca Mazzia   Backward error analysis of cyclic
                                  reduction for the solution of
                                  tridiagonal systems  . . . . . . . . . . 601--617
         Zbigniew I. Wo\'znicki   The Sigma-SOR algorithm and the optimal
                                  strategy for the utilization of the SOR
                                  iterative method . . . . . . . . . . . . 619--644
                   M. J. Baines   Algorithms for optimal discontinuous
                                  piecewise linear and constant ${L}_2$
                                  fits to continuous functions with
                                  adjustable nodes in one and two
                                  dimensions . . . . . . . . . . . . . . . 645--669
                 Lisa Lorentzen   Divergence of continued fractions
                                  related to hypergeometric series . . . . 671--686
                        Yuan Xu   Recurrence formulas for multivariate
                                  orthogonal polynomials . . . . . . . . . 687--702
                        Yuan Xu   A characterization of positive
                                  quadrature formulae  . . . . . . . . . . 703--718
 Klaus-Jürgen Förster   On a theorem of C. Posse concerning
                                  Gaussian quadrature of Chebyshev type    719--724
       Giuseppe Mastroianni and   
              Giovanni Monegato   Polynomial approximations of functions
                                  with endpoint singularities and product
                                  integration formulas . . . . . . . . . . 725--738
             Hideaki Kaneko and   
                    Yuesheng Xu   Gauss-type quadratures for weakly
                                  singular integrals and their application
                                  to Fredholm integral equations of the
                                  second kind  . . . . . . . . . . . . . . 739--753
                 Kurt Georg and   
                Johannes Tausch   Some error estimates for the numerical
                                  approximation of surface integrals . . . 755--763
              Giovanni Monegato   The numerical evaluation of a 2-D Cauchy
                                  principal value integral arising in
                                  boundary integral equation methods . . . 765--777
                Ralph W. Bailey   Polar generation of random variates with
                                  the $t$-distribution . . . . . . . . . . 779--781
Jürgen Eichenauer-Herrmann   Improved lower bounds for the
                                  discrepancy of inversive congruential
                                  pseudorandom numbers . . . . . . . . . . 783--786
Jürgen Eichenauer-Herrmann and   
                 Katja Ickstadt   Explicit inversive congruential
                                  pseudorandom numbers with power of two
                                  modulus  . . . . . . . . . . . . . . . . 787--797
            Raymond Couture and   
                Pierre L'Ecuyer   On the lattice structure of certain
                                  linear congruential sequences related to
                                  AWC/SWB generators . . . . . . . . . . . 799--808
                     Shu Tezuka   The $k$-dimensional distribution of
                                  combined GFSR sequences  . . . . . . . . 809--817
            Harald Niederreiter   Factoring polynomials over finite fields
                                  using differential equations and normal
                                  bases  . . . . . . . . . . . . . . . . . 819--830
           Rainer Göttfert   An acceleration of the Niederreiter
                                  factorization algorithm in
                                  characteristic $2$ . . . . . . . . . . . 831--839
                 W. Lempken and   
                  R. Staszewski   The structure of the projective
                                  indecomposable modules of $\hat 3
                                  {M}_{22}$ in characteristic $2$  . . . . 841--850
                   Gerhard Hiss   The $3$-modular characters of the
                                  Rudvalis sporadic simple group and its
                                  covering group . . . . . . . . . . . . . 851--863
               Gerhard Frey and   
           Hans-Georg Rück   A remark concerning $m$-divisibility and
                                  the discrete logarithm in the divisor
                                  class group of curves  . . . . . . . . . 865--874
               D. S. Dummit and   
                    David Hayes   Rank-one Drinfel\'d modules on elliptic
                                  curves. With microfiche supplement . . . 875--883
               R. A. Mollin and   
                 H. C. Williams   Quadratic residue covers for certain
                                  real quadratic fields  . . . . . . . . . 885--897
                   Ken Yamamura   The determination of the imaginary
                                  Abelian number fields with class number
                                  one  . . . . . . . . . . . . . . . . . . 899--921
            Petr Cikánek   A special extension of Wieferich's
                                  criterion  . . . . . . . . . . . . . . . 923--930
                 J. Browkin and   
                J. Brzezi\'nski   Some remarks on the $abc$-conjecture . . 931--939


Mathematics of Computation
Volume 63, Number 207, July, 1994

           James H. Bramble and   
                 J. Thomas King   A robust finite element method for
                                  nonhomogeneous Dirichlet problems in
                                  domains with curved boundaries . . . . . 1--17
                   M. P. Lebaud   Error estimate in an isoparametric
                                  finite element eigenvalue problem  . . . 19--40
               Ching Lung Chang   An error estimate of the least squares
                                  finite element method for the Stokes
                                  problem in three dimensions  . . . . . . 41--50
          Bernardo Cockburn and   
                 Ioana Triandaf   Error estimates for a finite element
                                  method for the drift-diffusion
                                  semiconductor device equations: the zero
                                  diffusion case . . . . . . . . . . . . . 51--76
          Bernardo Cockburn and   
Frédéric Coquel and   
              Philippe Le Floch   An error estimate for finite volume
                                  methods for multidimensional
                                  conservation laws  . . . . . . . . . . . 77--103
                    N. Al Shenk   Uniform error estimates for certain
                                  narrow Lagrange finite elements  . . . . 105--119
                M. Crouzeix and   
                 S. Larsson and   
               V. Thomée   Resolvent estimates for elliptic finite
                                  element operators in one dimension . . . 121--140
                  Anwei Liu and   
                      Barry Joe   On the shape of tetrahedra from
                                  bisection  . . . . . . . . . . . . . . . 141--154
             Kent McCormick and   
          Raymond O. Wells, Jr.   Wavelet calculus and finite difference
                                  operators  . . . . . . . . . . . . . . . 155--173
                Eric Grosse and   
                  John D. Hobby   Improved rounding for spline
                                  coefficients and knots . . . . . . . . . 175--194
             Oscar P. Bruno and   
               Fernando Reitich   Approximation of analytic functions: a
                                  method of enhanced convergence . . . . . 195--213
         Qazi Ibadur Rahman and   
             Gerhard Schmeisser   A quadrature formula for entire
                                  functions of exponential type  . . . . . 215--227
             Andrew H. Van Tuyl   Acceleration of convergence of a family
                                  of logarithmically convergent sequences  229--246
                  Pengyuan Chen   Approximate zeros of quadratically
                                  convergent algorithms  . . . . . . . . . 247--270
                      W. McLean   Numerical evaluation of some
                                  trigonometric series . . . . . . . . . . 271--275
            Gerhard Larcher and   
           Claudia Traunfellner   On the numerical integration of Walsh
                                  series by number-theoretic methods . . . 277--291
Jürgen Eichenauer-Herrmann   On generalized inversive congruential
                                  pseudorandom numbers . . . . . . . . . . 293--299
           Miodrag \vZivkovi\'c   Table of primitive binary polynomials.
                                  II . . . . . . . . . . . . . . . . . . . 301--306
                  Adel Faridani   A generalized sampling theorem for
                                  locally compact Abelian groups . . . . . 307--327
                Henri Cohen and   
               Jacques Martinet   Heuristics on class groups: some good
                                  primes are not too good  . . . . . . . . 329--334
               Bernd Souvignier   Irreducible finite integral matrix
                                  groups of degree $8$ and $10$. With
                                  microfiche supplement  . . . . . . . . . 335--350
                Ulrich Baum and   
                Michael Clausen   Computing irreducible representations of
                                  supersolvable groups . . . . . . . . . . 351--359
                 A. Schwarz and   
                   M. Pohst and   
                 F. Diaz y Diaz   A table of quintic number fields . . . . 361--376
                    Guoqiang Ge   Recognizing units in number fields . . . 377--387
               Richard P. Brent   On the periods of generalized Fibonacci
                                  recurrences  . . . . . . . . . . . . . . 389--401
               Zhen Xiang Zhang   Finding finite ${B}_2$-sequences with
                                  larger $m-a^{1/2}_m$ . . . . . . . . . . 403--414
             Aaron Schlafly and   
                     Stan Wagon   Carmichael's conjecture on the Euler
                                  function is valid below
                                  $10^{10,000,000}$  . . . . . . . . . . . 415--419
                 G. W. Fung and   
                 H. C. Williams   Errata: ``On the computation of a table
                                  of complex cubic fields with
                                  discriminant ${D}>-10^6$'' [Math. Comp.
                                  \bf 55 (1990), no. 191, 313--325, MR
                                  90m:11155] . . . . . . . . . . . . . . . 433--433

Mathematics of Computation
Volume 63, Number 208, October, 1994

             Pierre Bernard and   
                Denis Talay and   
                 Luciano Tubaro   Supplement to ``Rate of convergence of a
                                  stochastic particle method for the
                                  Kolmogorov equation with variable
                                  coefficients'' . . . . . . . . . . . . . S11--S17
             Susanne C. Brenner   Supplement to ``A nonconforming mixed
                                  multigrid method for the pure traction
                                  problem in planar linear elasticity''    S1--S5
            Thomas Hagstrom and   
            S. I. Hariharan and   
                  R. C. MacCamy   Supplement to ``On the accurate
                                  long-time solution of the wave equation
                                  in exterior domains: Asymptotic
                                  expansions and corrected boundary
                                  conditions'' . . . . . . . . . . . . . . S7--S10
            Ilene H. Morgan and   
                 Gary L. Mullen   Supplement to ``Primitive normal
                                  polynomials over finite fields'' . . . . S19--S23
             Susanne C. Brenner   A nonconforming mixed multigrid method
                                  for the pure traction problem in planar
                                  linear elasticity  . . . . . . . . . . . 435--460, S1--S5
           James H. Bramble and   
              Zbigniew Leyk and   
              Joseph E. Pasciak   The analysis of multigrid algorithms for
                                  pseudodifferential operators of order
                                  minus one  . . . . . . . . . . . . . . . 461--478
            Pavel B. Bochev and   
              Max D. Gunzburger   Analysis of least squares finite element
                                  methods for the Stokes equations . . . . 479--506
            Thomas Hagstrom and   
            S. I. Hariharan and   
                  R. C. MacCamy   On the accurate long-time solution of
                                  the wave equation in exterior domains:
                                  Asymptotic expansions and corrected
                                  boundary conditions  . . . . . . . . . . 507--539, S7--S10
               T. Boukadida and   
                   A. Y. LeRoux   A new version of the two-dimensional
                                  Lax--Friedrichs scheme . . . . . . . . . 541--553
             Pierre Bernard and   
                Denis Talay and   
                 Luciano Tubaro   Rate of convergence of a stochastic
                                  particle method for the Kolmogorov
                                  equation with variable coefficients  . . 555--587, S11--S17
              B. Leimkuhler and   
                       S. Reich   Symplectic integration of constrained
                                  Hamiltonian systems  . . . . . . . . . . 589--605
                 C. K. Chui and   
                     Xin Li and   
                  H. N. Mhaskar   Neural networks for localized
                                  approximation  . . . . . . . . . . . . . 607--623
    Luís F. Portugal and   
Joaquím J. Júdice and   
         Luís N. Vicente   A comparison of block pivoting and
                                  interior-point algorithms for linear
                                  least squares problems with nonnegative
                                  variables  . . . . . . . . . . . . . . . 625--643
             Gerlind Plonka and   
                 Manfred Tasche   Cardinal Hermite spline interpolation
                                  with shifted nodes . . . . . . . . . . . 645--659
       Francis J. Narcowich and   
                 Joseph D. Ward   Generalized Hermite interpolation via
                                  matrix-valued conditionally positive
                                  definite functions . . . . . . . . . . . 661--687
                   Ming Jun Lai   On the computation of Battle--Lemarié's
                                  wavelets . . . . . . . . . . . . . . . . 689--699
            Gerhard Larcher and   
        Wolfgang Ch. Schmid and   
                  Reinhard Wolf   Representation of functions as Walsh
                                  series to different bases and an
                                  application to the numerical integration
                                  of high-dimensional Walsh series . . . . 701--716
               P. Verlinden and   
                       R. Cools   Proof of a conjectured asymptotic
                                  expansion for the approximation of
                                  surface integrals  . . . . . . . . . . . 717--725
                   J. N. Lyness   Quadrature over curved surfaces by
                                  extrapolation  . . . . . . . . . . . . . 727--740
          Stanis\law Lewanowicz   A simple approach to the summation of
                                  certain slowly convergent series . . . . 741--745
                   Robert Spira   Some zeros of the Titchmarsh
                                  counterexample . . . . . . . . . . . . . 747--748
            David Casperson and   
                     John McKay   Symmetric functions, $m$-sets, and
                                  Galois groups  . . . . . . . . . . . . . 749--757
            Ilene H. Morgan and   
                 Gary L. Mullen   Primitive normal polynomials over finite
                                  fields . . . . . . . . . . . . . . . . . 759--765, S19--S23
                    James McKee   Computing division polynomials . . . . . 767--771
              Peter Stevenhagen   Class number parity for the $p$th
                                  cyclotomic field . . . . . . . . . . . . 773--784
              A. K. Lenstra and   
                  M. S. Manasse   Factoring with two large primes  . . . . 785--798
                   P. Moree and   
          H. J. J. Te Riele and   
                  J. Urbanowicz   Divisibility properties of integers $x,
                                  k$ satisfying $1^k+\cdots+(x-1)^k=x^k$   799--815
                George Thomason   Erratum: ``Zeros of approximate
                                  functional approximations'' [Math. Comp.
                                  \bf 21 (1967), 41--48, MR \bf 38 #2945]
                                  by R. Spira  . . . . . . . . . . . . . . 829--829
               I. Babu\vska and   
                   J. E. Osborn   Corrigendum: ``Finite element-Galerkin
                                  approximation of the eigenvalues and
                                  eigenvectors of selfadjoint problems''
                                  [Math. Comp. \bf 52 (1989), no. 186,
                                  275--297, MR 89k:65132]  . . . . . . . . 831--832


Mathematics of Computation
Volume 64, Number 209, January, 1995

            Ricardo H. Nochetto   Pointwise a posteriori error estimates
                                  for elliptic problems on highly graded
                                  meshes . . . . . . . . . . . . . . . . . 1--22
                 Shangyou Zhang   Optimal-order nonnested multigrid
                                  methods for solving finite element
                                  equations. III. On degenerate meshes . . 23--49
                 Weimin Han and   
            Sòren Jensen   On the sharpness of $L^2$-error
                                  estimates of ${H_0}^1$-projections onto
                                  subspaces of piecewise, high-order
                                  polynomials  . . . . . . . . . . . . . . 51--70
                       Lixin Wu   The semigroup stability of the
                                  difference approximations for
                                  initial-boundary value problems  . . . . 71--88
                   L. Bales and   
                    I. Lasiecka   Negative norm estimates for fully
                                  discrete finite element approximations
                                  to the wave equation with nonhomogeneous
                                  ${L}_2$ Dirichlet boundary data  . . . . 89--115
           R. A. Nicolaides and   
             Noel J. Walkington   Strong convergence of numerical
                                  solutions to degenerate variational
                                  problems . . . . . . . . . . . . . . . . 117--127
               Tony F. Chan and   
         Panayot S. Vassilevski   A framework for block ILU factorizations
                                  using block-size reduction . . . . . . . 129--156
                I. C. Demetriou   Discrete piecewise monotonic
                                  approximation by a strictly convex
                                  distance function  . . . . . . . . . . . 157--180
            John P. Coleman and   
                  Nick J. Myers   The Faber polynomials for annular
                                  sectors  . . . . . . . . . . . . . . . . 181--203, S1--S6
         Djurdje Cvijovi\'c and   
                Jacek Klinowski   Closed-form summation of some
                                  trigonometric series . . . . . . . . . . 205--210
                  Frank Stenger   Collocating convolutions . . . . . . . . 211--235
             G. Mastroianni and   
                    G. Monegato   Convergence of product integration rules
                                  over $(0,\infty)$ for functions with
                                  weak singularities at the origin . . . . 237--249
                 Arno Kuijlaars   Chebyshev-type quadrature and partial
                                  sums of the exponential series . . . . . 251--263
                    Abraham Ziv   Converting approximate error bounds into
                                  exact ones . . . . . . . . . . . . . . . 265--277
            Harald Niederreiter   Pseudorandom vector generation by the
                                  multiple-recursive matrix method . . . . 279--294
               Georges Rhin and   
              Christopher Smyth   On the absolute Mahler measure of
                                  polynomials having all zeros in a sector 295--304
             F. Diaz y Diaz and   
                     M. Olivier   Imprimitive ninth-degree number fields
                                  with small discriminants. With
                                  microfiche supplement  . . . . . . . . . 305--321
      Stéphane Louboutin   Determination of all nonquadratic
                                  imaginary cyclic number fields of
                                  $2$-power degrees with ideal class
                                  groups of exponents $\leq 2$ . . . . . . 323--340
               Irving Kaplansky   The first nontrivial genus of positive
                                  definite ternary forms . . . . . . . . . 341--345
        Harald Niederreiter and   
           Rainer Göttfert   On a new factorization algorithm for
                                  polynomials over finite fields . . . . . 347--353
                     F. Arnault   Rabin--Miller primality test: composite
                                  numbers which pass it  . . . . . . . . . 355--361
               Karl Dilcher and   
                 Ladislav Skula   A new criterion for the first case of
                                  Fermat's last theorem  . . . . . . . . . 363--392
                 Gary B. Gostin   New factors of Fermat numbers  . . . . . 393--395
              Harvey Dubner and   
                 Wilfrid Keller   Factors of generalized Fermat numbers    397--405
                   Jon Grantham   The largest prime dividing the maximal
                                  order of an element of ${S}_n$ . . . . . 407--410
            David Applegate and   
            Jeffrey C. Lagarias   Density bounds for the $3x + 1$ problem.
                                  I. Tree-search method  . . . . . . . . . 411--426
            David Applegate and   
            Jeffrey C. Lagarias   Density bounds for the $3x + 1$ problem.
                                  II. Krasikov inequalities  . . . . . . . 427--438
              K. S. Kölbig   Table errata: \em Table of integrals,
                                  series, and products by I. S.
                                  Gradshte\uìn, 1994 I. M. Ryzhik [Academic
                                  Press, Boston, MR 94g:00008] . . . . . . 449--460

Mathematics of Computation
Volume 64, Number 210, April, 1995

                      Anonymous   Book Reviews: 16. Brass and Hammerlin,
                                  Editors  . . . . . . . . . . . . . . . . ??
                      Anonymous   Book Reviews: 17. Bouleau and Lepingle   ??
                      Anonymous   Book Reviews: 19. Eisenbud and Robbiano,
                                  Editors  . . . . . . . . . . . . . . . . ??
                      Anonymous   Book Reviews: 18. Gray . . . . . . . . . ??
                      Anonymous   Book Reviews: 11. Hoschek and Lasser . . ??
                      Anonymous   Book Reviews: 12. O'Rourke . . . . . . . ??
                      Anonymous   Book Reviews: 10. Pryce  . . . . . . . . ??
                      Anonymous   Book Reviews: 9. Sommeijer . . . . . . . ??
                      Anonymous   Book Reviews: 13. Schumaker and Webb,
                                  Editors  . . . . . . . . . . . . . . . . ??
                      Anonymous   Book Reviews: 15. Smith  . . . . . . . . ??
                      Anonymous   Book Reviews: 14. Zwillinger . . . . . . ??
            Qian Shun Chang and   
                Bo Ling Guo and   
                     Hong Jiang   Supplement to ``Finite difference method
                                  for generalized Zakharov equations'' . . S7--S12
                 L. Corrias and   
                 M. Falcone and   
                    R. Natalini   Supplement to ``Numerical schemes for
                                  conservation laws via Hamilton--Jacobi
                                  equations''  . . . . . . . . . . . . . . S13--S18
                      Anonymous   Book Reviews: 8. Marchuk, Editor . . . . 8
                 Manil Suri and   
              Ivo Babu\vska and   
               Christoph Schwab   Locking effects in the finite element
                                  approximation of plate models  . . . . . 461--482
         Carsten Carstensen and   
               Ernst P. Stephan   A posteriori error estimates for
                                  boundary element methods . . . . . . . . 483--500
                     Thanh Tran   The ${K}$-operator and the Galerkin
                                  method for strongly elliptic equations
                                  on smooth curves: Local estimates  . . . 501--513
                 Zhixin Shi and   
                  Brian Hassard   Precise solution of Laplace's equation   515--536
            Qian Shun Chang and   
                Bo Ling Guo and   
                     Hong Jiang   Finite difference method for generalized
                                  Zakharov equations . . . . . . . . . . . 537--553, S7--S11
                 L. Corrias and   
                 M. Falcone and   
                    R. Natalini   Numerical schemes for conservation laws
                                  via Hamilton--Jacobi equations . . . . . 555--580, S13--18, S13--S18
                   Tao Tang and   
                 Zhen Huan Teng   The sharpness of Kuznetsov's
                                  ${O}(\sqrt{\Delta x}) {L}^1$-error
                                  estimate for monotone difference schemes 581--589
                    C. Palencia   Stability of rational multistep
                                  approximations of holomorphic semigroups 591--599
           Christian Lubich and   
            Alexander Ostermann   Runge--Kutta approximation of
                                  quasi-linear parabolic equations . . . . 601--627
              J. C. Butcher and   
                 J. R. Cash and   
                   G. Moore and   
                  R. D. Russell   Defect correction for two-point boundary
                                  value problems on nonequidistant meshes  629--648
               Peter Ashwin and   
          Klaus Böhmer and   
                       Mei Zhen   A numerical Liapunov--Schmidt method
                                  with applications to Hopf bifurcation on
                                  a square . . . . . . . . . . . . . . . . 649--670, S19--S22
                Knut S. Eckhoff   Accurate reconstructions of functions of
                                  finite regularity from truncated Fourier
                                  series expansions  . . . . . . . . . . . 671--690
      Stanis\law Lewanowicz and   
              Stefan Paszkowski   An analytic method for convergence
                                  acceleration of certain hypergeometric
                                  series . . . . . . . . . . . . . . . . . 691--713
           Georgi R. Grozev and   
                 Qazi I. Rahman   A quadrature formula with zeros of
                                  Bessel functions as nodes  . . . . . . . 715--725
                    David Chien   Numerical evaluation of surface
                                  integrals in three dimensions  . . . . . 727--743
              J. A. C. Weideman   Computing the Hilbert transform on the
                                  real line  . . . . . . . . . . . . . . . 745--762
               Alan Edelman and   
                    H. Murakami   Polynomial roots from companion matrix
                                  eigenvalues  . . . . . . . . . . . . . . 763--776
                 Erich Kaltofen   Analysis of Coppersmith's block
                                  Wiedemann algorithm for the parallel
                                  solution of sparse linear systems  . . . 777--806
          Christian Biester and   
           Peter J. Grabner and   
            Gerhard Larcher and   
                Robert F. Tichy   Adaptive search in quasi-Monte Carlo
                                  optimization . . . . . . . . . . . . . . 807--818
                    N. P. Smart   The solution of triangularly connected
                                  decomposable form equations  . . . . . . 819--840
                Tsuneo Ishikawa   On the number of zeros of diagonal forms 841--854
              B. M. M. De Weger   A Thue equation with quadratic integers
                                  as variables . . . . . . . . . . . . . . 855--861
                R. Crandall and   
                 J. Doenias and   
                  C. Norrie and   
                       J. Young   The twenty-second Fermat number is
                                  composite  . . . . . . . . . . . . . . . 863--868
                Paul M. Voutier   Primitive divisors of Lucas and Lehmer
                                  sequences  . . . . . . . . . . . . . . . 869--888
              Chris K. Caldwell   On the primality of $n!\pm 1$ and
                                  $2\cdot 3\cdot 5\cdots p\pm 1$ . . . . . 889--890
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 891--906

Mathematics of Computation
Volume 64, Number 211, July, 1995

                      Anonymous   Book Reviews: 22. Bank . . . . . . . . . ??
                      Anonymous   Book Reviews: 26. Barrett, Berry, Chan,
                                  Demmel, Donato, Dongarra, Eijkhout,
                                  Pozo, Romine, and van der Vorst  . . . . ??
                      Anonymous   Book Reviews: 27. Cooper and Thron,
                                  Editors  . . . . . . . . . . . . . . . . ??
                      Anonymous   Book Reviews: 23. Hemker and Wesseling,
                                  Editors  . . . . . . . . . . . . . . . . ??
                      Anonymous   Book Reviews: 21. Prathap  . . . . . . . ??
                      Anonymous   Book Reviews: 20. Rombaldi . . . . . . . ??
                      Anonymous   Book Reviews: 24. Shampine . . . . . . . ??
                      Anonymous   Book Reviews: 25. Sanz-Serna and Calvo   ??
                      Anonymous   Book Reviews: 28. Zippel . . . . . . . . ??
                   Pelle Olsson   Supplement to ``Summation by parts,
                                  projections, and stability, I''  . . . . S23--S26
                 Ralph Phillips   Supplement to ``Conjugacy classes of
                                  $G(2)$ and spectral rigidity'' . . . . . S35--S37
                     H. E. Rose   Supplement to ``On a class of elliptic
                                  curves with rank at most 2'' . . . . . . S27--S34
               A. H. Schatz and   
                  L. B. Wahlbin   Interior maximum-norm estimates for
                                  finite element methods. Part II  . . . . 907--928
   Alexander \vZení\vsek   Maximum-angle condition and triangular
                                  finite elements of Hermite type  . . . . 929--941
              Todd Arbogast and   
                  Zhangxin Chen   On the implementation of mixed methods
                                  as nonconforming methods for
                                  second-order elliptic problems . . . . . 943--972
               F. A. Milner and   
                     E.-J. Park   A mixed finite element method for a
                                  strongly nonlinear second-order elliptic
                                  problem  . . . . . . . . . . . . . . . . 973--988
         Lawrence C. Cowsar and   
                 Jan Mandel and   
                Mary F. Wheeler   Balancing domain decomposition for mixed
                                  finite elements  . . . . . . . . . . . . 989--1015
                  Enzo Dari and   
       Ricardo Durán and   
                  Claudio Padra   Error estimators for non-conforming
                                  finite element approximations of the
                                  Stokes problem . . . . . . . . . . . . . 1017--1033
                   Pelle Olsson   Summation by parts, projections, and
                                  stability. I . . . . . . . . . . . . . . 1035--1065
                     Ben Yu Guo   A spectral method for the vorticity
                                  equation on the surface  . . . . . . . . 1067--1079
             David Gottlieb and   
                   Chi-Wang Shu   On the Gibbs phenomenon. IV. Recovering
                                  exponential accuracy in a subinterval
                                  from a Gegenbauer partial sum of a
                                  piecewise analytic function  . . . . . . 1081--1095
             Adrian T. Hill and   
                Endre Süli   Upper semicontinuity of attractors for
                                  linear multistep methods approximating
                                  sectorial evolution equations  . . . . . 1097--1122
               J. H. Verner and   
                     M. Zennaro   Continuous explicit Runge--Kutta methods
                                  of order $5$ . . . . . . . . . . . . . . 1123--1146
               Thomas Sauer and   
                        Yuan Xu   On multivariate Lagrange interpolation   1147--1170
               J. I. Maeztu and   
     E. Sáinz de la Maza   Consistent structures of invariant
                                  quadrature rules for the $n$-simplex . . 1171--1192
             Cristina Cunha and   
                 Fermin Viloche   An iterative method for the numerical
                                  inversion of Laplace transforms  . . . . 1193--1198
         Takemitsu Hasegawa and   
                   Tatsuo Torii   An algorithm for nondominant solutions
                                  of linear second-order inhomogeneous
                                  difference equations . . . . . . . . . . 1199--1214
  Nico van den Hijligenberg and   
           Youri Kotchetkov and   
                   Gerhard Post   Deformations of vector fields and
                                  Hamiltonian vector fields on the plane   1215--1226
                Shuhong Gao and   
              Scott A. Vanstone   On orders of optimal normal basis
                                  generators . . . . . . . . . . . . . . . 1227--1233
                  J. E. Cremona   Computing the degree of the modular
                                  parametrization of a modular elliptic
                                  curve  . . . . . . . . . . . . . . . . . 1235--1250
                     H. E. Rose   On a class of elliptic curves with rank
                                  at most two  . . . . . . . . . . . . . . 1251--1265, S27--S34
                    Harvey Cohn   Half-step modular equations  . . . . . . 1267--1285
                 Ralph Phillips   Conjugacy classes of ${\Gamma}(2)$ and
                                  spectral rigidity  . . . . . . . . . . . 1287--1306, S35--S37
                        P. Shiu   Computation of continued fractions
                                  without input values . . . . . . . . . . 1307--1317
                Kenichi Iyanaga   A recursive method to calculate the
                                  number of solutions of quadratic
                                  equations over finite fields . . . . . . 1319--1331
             Zachary Franco and   
                 Carl Pomerance   On a conjecture of Crandall concerning
                                  the $qx + 1$ problem . . . . . . . . . . 1333--1336
          Paul A. Pritchard and   
               Andrew Moran and   
                Anthony Thyssen   Twenty-two primes in arithmetic
                                  progression  . . . . . . . . . . . . . . 1337--1339
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 1341--1354
           Rudolf A. Mathon and   
            Kevin T. Phelps and   
                 Alexander Rosa   Addendum: ``A class of Steiner triple
                                  systems of order 21 and associated
                                  Kirkman systems'' [Math. Comp. \bf 37
                                  (1981), no. 155, 209--222, MR 82k:05022] 1355--1356
              A. K. Lenstra and   
         H. W. Lenstra, Jr. and   
              M. S. Manasse and   
                  J. M. Pollard   Addendum: ``The factorization of the
                                  ninth Fermat number'' [Math. Comp. \bf
                                  61 (1993), no. 203, 319--349, MR
                                  93k:11116] . . . . . . . . . . . . . . . 1357--1357

Mathematics of Computation
Volume 64, Number 212, October, 1995

                      Anonymous   Book Reviews: 30. Bulirsch and Kraft,
                                  Editors  . . . . . . . . . . . . . . . . ??
                      Anonymous   Book Reviews: 29. Euvrard  . . . . . . . ??
                      Anonymous   Book Reviews: 31. Hackbusch  . . . . . . ??
                      Anonymous   Book Reviews: 33. Pohst  . . . . . . . . ??
                      Anonymous   Book Reviews: 32. Sobolev  . . . . . . . ??
             Wilfrid Keller and   
               Wolfgang Niebuhr   Supplement to ``New Cullen primes''  . . S39--S46
               James H. Bramble   Interpolation between Sobolev spaces in
                                  Lipschitz domains with an application to
                                  multigrid theory . . . . . . . . . . . . 1359--1365
          Patrick Le Tallec and   
                  Taoufik Sassi   Domain decomposition with non-matching
                                  grids: Augmented Lagrangian approach . . 1367--1396
                Maria Cayco and   
              Leslie Foster and   
                   Howard Swann   On the convergence rate of the cell
                                  discretization algorithm for solving
                                  elliptic problems  . . . . . . . . . . . 1397--1419
                     V. Girault   A local projection operator for
                                  quadrilateral finite elements  . . . . . 1421--1431
         Charles M. Elliott and   
                   Stig Larsson   A finite element model for the
                                  time-dependent Joule heating problem . . 1433--1453
       P. Neittaanmäki and   
                 V. Rivkind and   
                G. Serëgin   A dual finite element approach for
                                  stresses of elasto-perfectly plastic
                                  bodies . . . . . . . . . . . . . . . . . 1455--1462
                  Zhi Zhong Sun   A second-order accurate linearized
                                  difference scheme for the
                                  two-dimensional Cahn--Hilliard equation  1463--1471
                   Pelle Olsson   Summation by parts, projections, and
                                  stability. II  . . . . . . . . . . . . . 1473--1493
                    Dao Qi Yang   Grid modification for second-order
                                  hyperbolic problems  . . . . . . . . . . 1495--1509
                   Serge Abrate   On a method for obtaining approximate
                                  solutions to Sturm--Liouville problems   1511--1515
                Erich Novak and   
               Klaus Ritter and   
          Henryk Wo\'zniakowski   Average-case optimality of a hybrid
                                  secant-bisection method  . . . . . . . . 1517--1539
              Birkett Huber and   
                Bernd Sturmfels   A polyhedral method for solving sparse
                                  polynomial systems . . . . . . . . . . . 1541--1555
                 I. Gohberg and   
                 T. Kailath and   
                   V. Olshevsky   Fast Gaussian elimination with partial
                                  pivoting for matrices with displacement
                                  structure  . . . . . . . . . . . . . . . 1557--1576
                  Thomas Huckle   Low-rank modification of the unsymmetric
                                  Lánczos algorithm . . . . . . . . . . . . 1577--1588
              R. T. Farouki and   
                     C. A. Neff   Hermite interpolation by Pythagorean
                                  hodograph quintics . . . . . . . . . . . 1589--1609
                  M. D. Buhmann   Multiquadric prewavelets on nonequally
                                  spaced knots in one dimension  . . . . . 1611--1625
                     Avram Sidi   Convergence analysis for a generalized
                                  Richardson extrapolation process with an
                                  application to the
                                  $d^{(1)}$-transformation on convergent
                                  and divergent logarithmic sequences  . . 1627--1657
           Eduardo Friedman and   
              Jonathan W. Sands   On the $l$-adic Iwasawa
                                  $\lambda$-invariant in a $p$-extension.
                                  With an appendix by Lawrence C.
                                  Washington . . . . . . . . . . . . . . . 1659--1674
                 Ming Yao Zhang   On Yokoi's conjecture  . . . . . . . . . 1675--1685
                  Brigitte Adam   Vorono\uì-algorithm expansion of two
                                  families with period length going to
                                  infinity . . . . . . . . . . . . . . . . 1687--1704
                      Vijay Jha   Faster computation of the first factor
                                  of the class number of
                                  $\mathbb{Q}(\zeta_p)$  . . . . . . . . . 1705--1710
          Stanislav Jakubec and   
          Franti\vsek Marko and   
            Kazimierz Szymiczek   Parity of class numbers and Witt
                                  equivalence of quartic fields  . . . . . 1711--1715
              Daniel Shanks and   
        Samuel S. Wagstaff, Jr.   48 more solutions of Martin Davis's
                                  quaternary quartic equation  . . . . . . 1717--1731
                 Wilfrid Keller   New Cullen primes. With a biographical
                                  sketch of James Cullen by T. G. Holt and
                                  a supplement by Wilfrid Keller and
                                  Wolfgang Niebuhr . . . . . . . . . . . . 1733--1741, 539--546
            Graeme L. Cohen and   
         Stephen F. Gretton and   
               Peter Hagis, Jr.   Multiamicable numbers  . . . . . . . . . 1743--1753
                     Stan Wagon   Quintuples with square triplets  . . . . 1755--1756
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 1757


Mathematics of Computation
Volume 65, Number 213, January, 1996

                 Giles Auchmuty   Book Reviews: \em Control and estimation
                                  in distributed parameter systems, edited
                                  by H. T. Banks . . . . . . . . . . . . . ??
                  Phillip Barry   Book Reviews: \em Curves and surfaces in
                                  geometric design, by Pierre-Jean
                                  Laurent, Alain le Méhauté and Larry L.
                                  Schumaker  . . . . . . . . . . . . . . . 435--435
                Dietrich Braess   Book Reviews: \em Handbook of numerical
                                  analysis, edited by P. G. Ciarlet and J.
                                  L. Lions . . . . . . . . . . . . . . . . ??
               James H. Bramble   Book Reviews: \em Boundary value
                                  problems for partial differential
                                  equations and applications, edited by
                                  J.-L. Lions and C. Baiocchi  . . . . . . ??
                   E. W. Cheney   Book Reviews: \em Topics in polynomials:
                                  extremal problems, inequalities, zeros,
                                  by G. V. Milovanovic, D. S. Mitrinovic
                                  and Th. M. Rassias . . . . . . . . . . . ??
                   Charles Chui   Book Reviews: \em Adapted wavelet
                                  analysis from theory to software, by
                                  Mladen Victor Wickerhauser . . . . . . . ??
             William C. Davidon   Book Reviews: \em Optimization and
                                  nonstandard analysis, by J. E. Rubio . . ??
                Walter Gautschi   Book Reviews: \em Parallel processing
                                  for scientific computing, edited by
                                  David H. Bailey, Petter E. Bjòrstad, John
                                  R. Gilbert, Michael V. Mascagni, Robert
                                  S. Schreiber, Horst D. Simon, Virginia
                                  J. Torczon and Layne T. Watson . . . . . ??
                Eugene Isaacson   Book Reviews: \em Proceedings of the
                                  Cornelius Lanczos international
                                  centenary conference, by J. David Brown,
                                  Moody T. Chu, Donald C. Ellison and
                                  Robert J. Plemmons . . . . . . . . . . . 423--435
                 George J. Klir   Book Reviews: \em The fuzzy systems
                                  handbook: A practitioner's guide to
                                  building, using, and maintaining fuzzy
                                  systems, by Earl Cox . . . . . . . . . . ??
                R. F. Lukes and   
            C. D. Patterson and   
                 H. C. Williams   Supplement to ``Some results on
                                  pseudosquares''  . . . . . . . . . . . . S25--S27
             René Schoof   Book Reviews: \em A course in
                                  computational algebraic number theory,
                                  by Henri Cohen . . . . . . . . . . . . . ??
              Mrinal K. Sen and   
                 Paul L. Stoffa   Book Reviews: \em Wavelets in
                                  geophysics, edited by Efi
                                  Foufoula-Georgiou and Praveen Kumar  . . ??
                  Tohsuke Urabe   Supplement to ``Calculation of Manin's
                                  invariant for Del Pezzo surfaces'' . . . S15--S23
                     J. D. Ward   Book Reviews: \em Advances in
                                  computational mathematics: New Delhi,
                                  India, edited by H. P. Dikshit and C. A.
                                  Micchelli  . . . . . . . . . . . . . . . 432--432
                    Huanan Yang   Supplement to ``On wavewise entropy
                                  inequalities for high-resolution
                                  schemes. I: The semidiscrete case''  . . S1--S13
                 Ch. Lubich and   
                I. H. Sloan and   
               V. Thomée   Nonsmooth data error estimates for
                                  approximations of an evolution equation
                                  with a positive-type memory term . . . . 1--17
           Alfred H. Schatz and   
                  Jun Ping Wang   Some new error estimates for
                                  Ritz--Galerkin methods with minimal
                                  regularity assumptions . . . . . . . . . 19--27
           R. A. Nicolaides and   
                          X. Wu   Analysis and convergence of the MAC
                                  scheme. II. Navier--Stokes equations . . 29--44
                    Huanan Yang   On wavewise entropy inequalities for
                                  high-resolution schemes. I: The
                                  semidiscrete case  . . . . . . . . . . . 45--67, S1--S13
             Carsten Carstensen   Efficiency of a posteriori BEM--error
                                  estimates for first-kind integral
                                  equations on quasi--uniform meshes . . . 69--84
            Charles K. Chui and   
                      Dong Hong   Construction of local $C^1$ quartic
                                  spline elements for optimal-order
                                  approximation  . . . . . . . . . . . . . 85--98
            Charles K. Chui and   
           Johan M. De Villiers   Applications of optimally local
                                  interpolation to interpolatory
                                  approximants and compactly supported
                                  wavelets . . . . . . . . . . . . . . . . 99--114
               Urs von Matt and   
                  G. W. Stewart   Rounding errors in solving block
                                  Hessenberg systems . . . . . . . . . . . 115--135
               V. V. Strela and   
             E. E. Tyrtyshnikov   Which circulant preconditioner is
                                  better?  . . . . . . . . . . . . . . . . 137--150
           Arno B. J. Kuijlaars   The zeros of Faber polynomials generated
                                  by an $m$-star . . . . . . . . . . . . . 151--156
                 David M. Smith   A multiple-precision division algorithm  157--163
               J. N. Lyness and   
                         S. Joe   Triangular canonical forms for lattice
                                  rules of prime-power order . . . . . . . 165--178
         Christian Lécot   Error bounds for quasi-Monte Carlo
                                  integration with nets  . . . . . . . . . 179--187
            Raymond Couture and   
                Pierre L'Ecuyer   Orbits and lattices for linear random
                                  number generators with composite moduli  189--201
                Pierre L'Ecuyer   Maximally equidistributed combined
                                  Tausworthe generators  . . . . . . . . . 203--213
Jürgen Eichenauer-Herrmann and   
                 Frank Emmerich   Compound inversive congruential
                                  pseudorandom numbers: an average-case
                                  analysis . . . . . . . . . . . . . . . . 215--225
               Takashi Kato and   
                 Li-Ming Wu and   
                Niro Yanagihara   On a nonlinear congruential pseudorandom
                                  number generator . . . . . . . . . . . . 227--233
        M. Deléglise and   
                       J. Rivat   Computing $\pi(x)$: the Meissel, Lehmer,
                                  Lagarias, Miller, Odlyzko method . . . . 235--245
                  Tohsuke Urabe   Calculation of Manin's invariant for Del
                                  Pezzo surfaces . . . . . . . . . . . . . 247--258, S15--S23
            Gregory S. Call and   
            Joseph H. Silverman   Computing the canonical height on ${K3}$
                                  surfaces . . . . . . . . . . . . . . . . 259--290
               Kimberly Pearson   Integral cohomology and detection of
                                  $w$-basic $2$-groups . . . . . . . . . . 291--306
                    V. Flammang   Two new points in the spectrum of the
                                  absolute Mahler measure of totally
                                  positive algebraic integers  . . . . . . 307--311
                  T. Fukuda and   
                     K. Komatsu   A capitulation problem and Greenberg's
                                  conjecture on real quadratic fields  . . 313--318
                M. Daberkow and   
                       M. Pohst   On integral bases in relative quadratic
                                  extensions . . . . . . . . . . . . . . . 319--329
                    Wen Bao Han   The coefficients of primitive
                                  polynomials over finite fields . . . . . 331--340
           Maurice Mignotte and   
          Attila Pethö and   
                      Ralf Roth   Complete solutions of a family of
                                  quartic Thue and index form equations    341--354
                   W. S. Anglin   Simultaneous Pell equations  . . . . . . 355--359
                R. F. Lukes and   
            C. D. Patterson and   
                 H. C. Williams   Some results on pseudosquares  . . . . . 361--372, S25--S27
      Ronald Joseph Burthe, Jr.   Further investigations with the strong
                                  probable prime test  . . . . . . . . . . 373--381
        Samuel S. Wagstaff, Jr.   Aurifeuillian factorizations and the
                                  period of the Bell numbers modulo a
                                  prime  . . . . . . . . . . . . . . . . . 383--391
                  Harvey Dubner   Large Sophie Germain primes  . . . . . . 393--396
      Olivier Ramaré and   
                  Robert Rumely   Primes in arithmetic progressions  . . . 397--425
      Karl-Heinz Indlekofer and   
             Antal Járai   Largest known twin primes  . . . . . . . 427--428
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 445--446
                W. A. Beyer and   
                     W. W. Wood   Corrigenda: ``The lattice structure of
                                  multiplicative congruential
                                  pseudo-random vectors'' [Math. Comp. \bf
                                  25 (1971), 345--363, MR \bf 46 #8373] by
                                  W. A. Beyerm, R. B. Roof, and Dorothy
                                  Williamson . . . . . . . . . . . . . . . 445--446

Mathematics of Computation
Volume 65, Number 214, April, 1996

                  David W. Boyd   Supplement to ``On the beta expansion
                                  for Salem numbers of degree 6''  . . . . S29--S31
                  Franco Brezzi   Book Reviews: \em The mathematical
                                  theory of finite element methods, by
                                  Susanne C. Brenner and L. Ridgway Scott  ??
             Torgeir Rusten and   
     Panayot S. Vassilevski and   
                 Ragnar Winther   Interior penalty preconditioners for
                                  mixed finite element approximations of
                                  elliptic problems  . . . . . . . . . . . 447--466
              Zhangxin Chen and   
           Richard E. Ewing and   
                Raytcho Lazarov   Domain decomposition algorithms for
                                  mixed methods for second-order elliptic
                                  problems . . . . . . . . . . . . . . . . 467--490
           Donald A. French and   
               Todd E. Peterson   A continuous space-time finite element
                                  method for the wave equation . . . . . . 491--506
               Laurence Halpern   Spectral methods in polar coordinates
                                  for the Stokes problem. Application to
                                  computation in unbounded domains . . . . 507--531
          Bernardo Cockburn and   
           Pierre-Alain Gremaud   A priori error estimates for numerical
                                  methods for scalar conservation laws.
                                  Part I: The general approach . . . . . . 533--573
                  Haim Nessyahu   Convergence rate of approximate
                                  solutions to weakly coupled nonlinear
                                  systems  . . . . . . . . . . . . . . . . 575--586
                Yuesheng Xu and   
                     Yunhe Zhao   An extrapolation method for a class of
                                  boundary integral equations  . . . . . . 587--610
      Evangelos A. Coutsias and   
            Thomas Hagstrom and   
                   David Torres   An efficient spectral method for
                                  ordinary differential equations with
                                  rational function coefficients . . . . . 611--635
            Rajendra Bhatia and   
                    Ren Cang Li   On perturbations of matrix pencils with
                                  real spectra. II . . . . . . . . . . . . 637--645
                R. C. Gayle and   
                    J. M. Wolfe   Unicity in piecewise polynomial
                                  $L^1$-approximation via an algorithm . . 647--660
              Peter Borwein and   
    Tamás Erdélyi   The integer Chebyshev problem  . . . . . 661--681
                     Ewald Quak   Trigonometric wavelets for Hermite
                                  interpolation  . . . . . . . . . . . . . 683--722
                  W. Lawton and   
                  S. L. Lee and   
                    Zuowei Shen   An algorithm for matrix extension and
                                  wavelet construction . . . . . . . . . . 723--737
                 Dirk P. Laurie   Anti-Gaussian quadrature formulas  . . . 739--747
                 Frank Emmerich   Pseudorandom vector generation by the
                                  compound inversive method  . . . . . . . 749--760
               Takashi Kato and   
                 Li-Ming Wu and   
                Niro Yanagihara   The serial test for a nonlinear
                                  pseudorandom number generator  . . . . . 761--769
              Charles H. Jepsen   Dissections of $p$:$q$ rectangles  . . . 771--778
                     Hisao Taya   Computation of $\mathbb{Z}_3$-invariants
                                  of real quadratic fields . . . . . . . . 779--784
               Christian Wagner   Class number $5$, $6$ and $7$  . . . . . 785--800
      István Gaál   Computing all power integral bases in
                                  orders of totally real cyclic sextic
                                  number fields  . . . . . . . . . . . . . 801--822
       Günter Löh and   
               Wolfgang Niebuhr   A new algorithm for constructing large
                                  Carmichael numbers . . . . . . . . . . . 823--836
                 P. Erd\Hos and   
                Mordechai Lewin   $d$-Complete sequences of integers . . . 837--840
                  David W. Boyd   On beta expansions for Pisot numbers . . 841--860
                  David W. Boyd   On the beta expansion for Salem numbers
                                  of degree $6$  . . . . . . . . . . . . . 861--875, S29--31
                Eugene Isaacson   Book Reviews: \em Industrial
                                  mathematics: A course in solving
                                  real-world problems, by Avner Friedman
                                  and Walter Littman . . . . . . . . . . . 878--879
               Elias N. Houstis   Book Reviews: \em Environments and tools
                                  for parallel scientific computing,
                                  edited by Jack J. Dongarra and Bernard
                                  Tourancheau  . . . . . . . . . . . . . . 879--880
                  Frank Stenger   Book Reviews: \em Solving Problems in
                                  Scientific Computing Using MAPLE and
                                  MATLAB, by Walter Gander and Jírí Hrebícek  880--882
              Francis J. Wright   Book Reviews: \em Maple V by example, by
                                  Martha L. Abell and James P. Braselton   881--884
                  Jorge Nocedal   Book Reviews: \em Nonlinear programming,
                                  by Olvi L. Mangasarian . . . . . . . . . 884--884
                     M. J. Todd   Book Reviews: \em Interior-point
                                  polynomial algorithms in convex
                                  programming, by Yurii Nesterov and
                                  Arkadii Nemirovskii  . . . . . . . . . . 884--886
                   Howard Elman   Book Reviews: \em Iterative solution
                                  methods, by Owe Axelsson . . . . . . . . 886--888
             Nicholas J. Higham   Book Reviews: \em Polynomial and matrix
                                  computations: Fundamental algorithms,
                                  Vol. 1, by Dario Bini and Victor Y. Pan  888--889
                   E. W. Cheney   Book Reviews: \em Mathematical aspects
                                  of geometrical modeling, by Charles A.
                                  Micchelli  . . . . . . . . . . . . . . . 889--890
                   E. W. Cheney   Book Reviews: \em Wavelets: theory,
                                  algorithms, and applications, edited by
                                  Charles K. Chui, Laura Montefusco and
                                  Luigia Puccio  . . . . . . . . . . . . . 890--891
                   E. W. Cheney   Book Reviews: \em NURB curves and
                                  surfaces: from projective geometry to
                                  practical use, by Gerald E. Farin  . . . 891--892
                   Weston Meyer   Book Reviews: \em Designing fair curves
                                  and surfaces, edited by Nickolas S.
                                  Sapidis  . . . . . . . . . . . . . . . . 892--893
            Harald Niederreiter   Book Reviews: \em Computational number
                                  theory and digital signal processing:
                                  Fast algorithms and error control
                                  techniques, by Hari Krishna, Bal
                                  Krishna, Kuo-Yu Lin and Jenn-Dong Sun    893--894
                David H. Bailey   Book Reviews: \em The encyclopedia of
                                  integer sequences, by N. J. A. Sloane
                                  and Simon Ploufee  . . . . . . . . . . . 894--894

Mathematics of Computation
Volume 65, Number 215, July, 1996

             Susanne C. Brenner   Book Reviews: \em Finite element
                                  methods: Fifty years of the Courant
                                  element, edited by M. Krízek, P.
                                  Neittaanmäki and R. Stenberg  . . . . . . ??
                  David Elliott   Book Reviews: \em Approximation and
                                  Computation: A Festschrift in honor of
                                  Walter Gautschi, edited by R. V. M.
                                  Zahar  . . . . . . . . . . . . . . . . . ??
                        Jan Kok   Book Reviews: \em A numerical library in
                                  C for scientists and engineers, by H. T.
                                  Lau  . . . . . . . . . . . . . . . . . . ??
            Harald Niederreiter   Book Reviews: \em The DFT: An owner's
                                  manual for the discrete Fourier
                                  transform, by William L. Briggs and Van
                                  Emden Henson . . . . . . . . . . . . . . ??
             René Schoof   Book Reviews: \em Introduction to finite
                                  fields and their applications, by Rudolf
                                  Lidl and Harald Niederreiter . . . . . . ??
           Lawrence F. Shampine   Book Reviews: \em Differential equations
                                  with Mathematica, by Kevin R. Coombes,
                                  Brian R. Hunt, Ronald L. Lipsman, John
                                  E. Osborn and Garrett J. Stuck . . . . . ??
                  Shagi-Di Shih   Book Reviews: \em The boundary function
                                  method for singular perturbation
                                  problems, by Adelaida B. Vasil'eva,
                                  Valentin F. Butuzov and Leonid V.
                                  Kalachev . . . . . . . . . . . . . . . . ??
                   Chi-Wang Shu   Book Reviews: \em Mathematical and
                                  numerical aspects of wave propagation,
                                  edited by Gary Cohen . . . . . . . . . . ??
            S. S. Wagstaff, Jr.   Book Reviews: \em Prime numbers and
                                  computer methods for factorization, by
                                  Hans Riesel  . . . . . . . . . . . . . . ??
             Susanne C. Brenner   Two-level additive Schwarz
                                  preconditioners for nonconforming finite
                                  element methods  . . . . . . . . . . . . 897--921
                   Peter Oswald   Preconditioners for nonconforming
                                  discretizations  . . . . . . . . . . . . 923--941
               Yuanhua Deng and   
                 Goong Chen and   
                Wei-Ming Ni and   
                   Jianxin Zhou   Boundary element monotone iteration
                                  scheme for semilinear elliptic partial
                                  differential equations . . . . . . . . . 943--982
                  Rob Stevenson   The frequency decomposition multilevel
                                  method: A robust additive hierarchical
                                  basis preconditioner . . . . . . . . . . 983--997
                M. Vanmaele and   
                    R. van Keer   On a variational approximation method
                                  for a class of elliptic eigenvalue
                                  problems in composite structures . . . . 999--1017
        Ma\lgorzata Peszy\'nska   Finite element approximation of
                                  diffusion equations with convolution
                                  terms  . . . . . . . . . . . . . . . . . 1019--1037
                       Jie Shen   On error estimates of the projection
                                  methods for the Navier--Stokes
                                  equations: Second-order schemes  . . . . 1039--1065
         Johan F. Malmliden and   
            N. Anders Petersson   A fast iterative method to compute the
                                  flow around a submerged body . . . . . . 1067--1083
               Guang Fu Sun and   
                  Martin Stynes   A uniformly convergent method for a
                                  singularly perturbed semilinear
                                  reaction--diffusion problem with
                                  multiple solutions . . . . . . . . . . . 1085--1109
             Petr Klou\vcek and   
                      Bo Li and   
                Mitchell Luskin   Analysis of a class of nonconforming
                                  finite elements for crystalline
                                  microstructures  . . . . . . . . . . . . 1111--1135
               Hailiang Liu and   
                   Jinghua Wang   Nonlinear stability of stationary
                                  discrete shocks for nonconvex scalar
                                  conservation laws  . . . . . . . . . . . 1137--1153
               Sebastian Noelle   A note on entropy inequalities and error
                                  estimates for higher-order accurate
                                  finite volume schemes on irregular
                                  families of grids  . . . . . . . . . . . 1155--1163
           S. N. Papakostas and   
                G. Papageorgiou   A family of fifth-order Runge--Kutta
                                  pairs  . . . . . . . . . . . . . . . . . 1165--1181
                  Anwei Liu and   
                      Barry Joe   Quality local refinement of tetrahedral
                                  meshes based on $8$-subtetrahedron
                                  subdivision  . . . . . . . . . . . . . . 1183--1200
        Annamaria Palamara Orsi   Product integration for Volterra
                                  integral equations of the second kind
                                  with weakly singular kernels . . . . . . 1201--1212
               Ronald B. Morgan   On restarting the Arnoldi method for
                                  large non-symmetric eigenvalue problems  1213--1230
                   Carl de Boor   On the Sauer--Xu formula for the error
                                  in multivariate polynomial interpolation 1231--1234
                  V. Demichelis   Quasi-interpolatory splines based on
                                  Schoenberg points  . . . . . . . . . . . 1235--1247
            Walter Gautschi and   
                     Shikang Li   On quadrature convergence of extended
                                  Lagrange interpolation . . . . . . . . . 1249--1256
            Walter Gautschi and   
            Sotirios E. Notaris   Stieltjes polynomials and related
                                  quadrature formulae for a class of
                                  weight functions . . . . . . . . . . . . 1257--1268
            Dimitar K. Dimitrov   Integration of polyharmonic functions    1269--1281
                 B. G. S. Doman   An asymptotic expansion for the
                                  incomplete beta function . . . . . . . . 1283--1288
           A. J. W. Duijvestijn   The number of polyhedral ($3$-connected
                                  planar) graphs . . . . . . . . . . . . . 1289--1293
                Harvey Cohn and   
                     John McKay   Spontaneous generation of modular
                                  invariants . . . . . . . . . . . . . . . 1295--1309
          Johannes Buchmann and   
                   Victor Shoup   Constructing nonresidues in finite
                                  fields and the extended Riemann
                                  hypothesis . . . . . . . . . . . . . . . 1311--1326
                 Wieb Bosma and   
              Peter Stevenhagen   Density computations for real quadratic
                                  units  . . . . . . . . . . . . . . . . . 1327--1337
                 Takashi Fukuda   Cyclotomic units and Greenberg's
                                  conjecture for real quadratic fields . . 1339--1348
                A. Y. Cheer and   
                 D. A. Goldston   Turán's pure power sum problem  . . . . . 1349--1358
           A. J. W. Duijvestijn   Simple perfect squared squares and
                                  $2\times 1$ squared rectangles of order
                                  $26$ . . . . . . . . . . . . . . . . . . 1359--1364

Mathematics of Computation
Volume 65, Number 216, October, 1996

                     F. Beukers   Book Reviews: \em Arithmetic of
                                  algebraic curves, by Serguei A. Stepanov ??
                 Xiao-Chuan Cai   Book Reviews: \em LAPACK Users' guide,
                                  by E. Anderson, Z. Bai, C. Bischof, J.
                                  Demmel, J. Dongarra, J. du Croz, A.
                                  Greenbaum, S. Hammarling, A. McKenney,
                                  S. Ostrouchov and D. Sorensen  . . . . . ??
                Richard S. Falk   Book Reviews: \em Asymptotic methods for
                                  elastic structures, by Philippe G.
                                  Ciarlet, Luís Trabucho and Juan M. Viaño   ??
                  Michael Holst   Book Reviews: \em Multigrid methods for
                                  semiconductor device simulation, by J.
                                  Molenaar . . . . . . . . . . . . . . . . ??
               Elias N. Houstis   Book Reviews: \em High performance
                                  computing: Problem solving with parallel
                                  and vector architectures, edited by Gary
                                  W. Sabot . . . . . . . . . . . . . . . . ??
                Eugene Isaacson   Book Reviews: \em Numerical analysis: A
                                  first course in scientific computation,
                                  by Peter Deuflhard and Andreas Hohmann   ??
               Daniel W. Lozier   Book Reviews: \em An introduction to
                                  scientific, symbolic, and graphical
                                  computation, by Eugene Fiume . . . . . . ??
               Douglas B. Meade   Book Reviews: \em The Maple V handbook,
                                  by Martha L. Abell and James P.
                                  Braselton  . . . . . . . . . . . . . . . ??
            Harald Niederreiter   Book Reviews: \em A primer for the Monte
                                  Carlo method, by Ilya M. Sobol'  . . . . ??
                     Ewald Quak   Book Reviews: \em Handbook on splines
                                  for the user, by Eugene V. Shikin and
                                  Alexander I. Plis  . . . . . . . . . . . ??
                 Jan Mandel and   
                 Marian Brezina   Balancing domain decomposition for
                                  problems with large jumps in
                                  coefficients . . . . . . . . . . . . . . 1387--1401
           Christoph Schwab and   
                     Manil Suri   The $p$ and $hp$ versions of the finite
                                  element method for problems with
                                  boundary layers  . . . . . . . . . . . . 1403--1429
                   Zhimin Zhang   Ultraconvergence of the patch recovery
                                  technique  . . . . . . . . . . . . . . . 1431--1437
                 F. Bouchut and   
             Ch. Bourdarias and   
                    B. Perthame   A MUSCL method satisfying all the
                                  numerical entropy inequalities . . . . . 1439--1461
   Rodolfo Rodríguez and   
               Jorge E. Solomin   The order of convergence of
                                  eigenfrequencies in finite element
                                  approximations of fluid-structure
                                  interaction problems . . . . . . . . . . 1463--1475
                   T. Y. Li and   
                  Xiaoshen Wang   The BKK root count in $\mathbf{C}^n$ . . 1477--1484
María-Cecilia Rivara and   
              Gabriel Iribarren   The $4$-triangles longest-side partition
                                  of triangles and linear refinement
                                  algorithms . . . . . . . . . . . . . . . 1485--1502
                     S. M. Rump   Expansion and estimation of the range of
                                  nonlinear functions  . . . . . . . . . . 1503--1512
                   Amos Ron and   
                   Xingping Sun   Strictly positive definite functions on
                                  spheres in Euclidean spaces  . . . . . . 1513--1530
                 Iaci Malta and   
        Nicolau C. Saldanha and   
                   Carlos Tomei   The numerical inversion of functions
                                  from the plane to the plane  . . . . . . 1531--1552
              R. T. Farouki and   
               T. N. T. Goodman   On the optimal stability of the
                                  Bernstein basis  . . . . . . . . . . . . 1553--1566
                 Laura Gori and   
           Charles A. Micchelli   On weight functions which admit explicit
                                  Gauss--Turán quadrature formulas  . . . . 1567--1581
               Ronald Cools and   
                   Ian H. Sloan   Minimal cubature formulae of
                                  trigonometric degree . . . . . . . . . . 1583--1600
                      Yu-lin Xu   Fast evaluation of the Gaunt
                                  coefficients . . . . . . . . . . . . . . 1601--1612
                   J. B. Keiper   On the zeros of the Ramanujan
                                  $\tau$-Dirichlet series in the critical
                                  strip  . . . . . . . . . . . . . . . . . 1613--1619
                    S. Heinrich   Efficient algorithms for computing the
                                  ${L}_2$ discrepancy  . . . . . . . . . . 1621--1633
                  T. N. Langtry   An application of Diophantine
                                  approximation to the construction of
                                  rank-$1$ lattice quadrature rules  . . . 1635--1662
               Vincenzo Acciaro   Solvability of norm equations over
                                  cyclic number fields of prime degree . . 1663--1674
                 David A. Clark   Non-Galois cubic fields which are
                                  Euclidean but not norm-Euclidean . . . . 1675--1679
                    Henri Cohen   Hermite and Smith normal form algorithms
                                  over Dedekind domains  . . . . . . . . . 1681--1699
                  Eric Bach and   
            René Peralta   Asymptotic semismoothness probabilities  1701--1715
                  Eric Bach and   
              Jonathan Sorenson   Explicit bounds for primes in residue
                                  classes  . . . . . . . . . . . . . . . . 1717--1735
                  Eric Bach and   
              Richard Lukes and   
            Jeffrey Shallit and   
                 H. C. Williams   Results and estimates on pseudopowers    1737--1747
           Brienne E. Brown and   
               Daniel M. Gordon   On sequences without geometric
                                  progressions . . . . . . . . . . . . . . 1749--1754
                   Randy L. Ekl   Equal sums of four seventh powers  . . . 1755--1756
                Adeline Lambert   Table errata: \em Table of integrals,
                                  series, and products [fifth edition,
                                  Academic Press, Boston, MA, 1994 and MR
                                  94g:00008] by I. S. Gradshteyn and I. M.
                                  Ryzhik . . . . . . . . . . . . . . . . . 1769--1769


Mathematics of Computation
Volume 66, Number 217, January, 1997

                   D. N. Arnold   Book Reviews: \em Superconvergence in
                                  Galerkin finite element methods, by Lars
                                  B. Wahlbin . . . . . . . . . . . . . . . ??
                      M. Cheney   Book Reviews: \em Inverse problems in
                                  diffusion processes, edited by Heinz W.
                                  Engl and William Rundell . . . . . . . . ??
                 A. R. Conn and   
                 Nick Gould and   
                   Ph. L. Toint   Supplement to ``A globally convergent
                                  Lagrangian barrier algorithm for
                                  optimization with general inequality
                                  constraints and simple bounds''  . . . . S1--S11
                  Patrick Keast   Book Reviews: \em Lattice methods for
                                  multiple integration, by I. H. Sloan and
                                  S. Joe . . . . . . . . . . . . . . . . . ??
                  Nico M. Temme   Book Reviews: \em Integral transforms
                                  and their applications, by L. Debnath    ??
          Douglas N. Arnold and   
                  Franco Brezzi   Locking-free finite element methods for
                                  shells . . . . . . . . . . . . . . . . . 1--14
                     Manil Suri   A reduced constraint $hp$ finite element
                                  method for shell problems  . . . . . . . 15--29
                    Guohui Zhou   How accurate is the streamline diffusion
                                  finite element method? . . . . . . . . . 31--44
               Maurizio Paolini   A quasi-optimal error estimate for a
                                  discrete singularly perturbed
                                  approximation to the prescribed
                                  curvature problem  . . . . . . . . . . . 45--67
               Hailiang Liu and   
                   Jinghua Wang   Decay rate for perturbations of
                                  stationary discrete shocks for convex
                                  scalar conservation laws . . . . . . . . 69--84
                     S. H. Chou   Analysis and convergence of a covolume
                                  method for the generalized Stokes
                                  problem  . . . . . . . . . . . . . . . . 85--104
                    Wen Guo and   
                  Martin Stynes   An analysis of a cell-vertex finite
                                  volume method for a parabolic
                                  convection-diffusion problem . . . . . . 105--124
                 Jinchao Xu and   
                    Sheng Zhang   Preconditioning the Poincaré--Steklov
                                  operator by using Green's function . . . 125--138
             Carsten Carstensen   An a posteriori error estimate for a
                                  first-kind integral equation . . . . . . 139--155
             Mireille Bossy and   
                    Denis Talay   A stochastic particle method for the
                                  McKean--Vlasov and the Burgers equation  157--192
            M. Thamban Nair and   
             Markus Hegland and   
            Robert S. Anderssen   The trade-off between regularity and
                                  stability in Tikhonov regularization . . 193--206
              M. K. El-Daou and   
                   H. G. Khajah   Iterated solutions of linear operator
                                  equations with the Tau method  . . . . . 207--213
         Timothy S. Carlson and   
               Jack Dockery and   
                      John Lund   A sinc-collocation method for initial
                                  value problems . . . . . . . . . . . . . 215--235
         Knut Mòrken and   
                   Karl Scherer   A general framework for high-accuracy
                                  parametric interpolation . . . . . . . . 237--260
                 A. R. Conn and   
                 Nick Gould and   
                   Ph. L. Toint   A globally convergent Lagrangian barrier
                                  algorithm for optimization with general
                                  inequality constraints and simple bounds 261--288
           Riadh Ben Ghanem and   
        Clément Frappier   Spherical Bessel functions and explicit
                                  quadrature formula . . . . . . . . . . . 289--296
                  Thomas Schira   The remainder term for analytic
                                  functions of symmetric Gaussian
                                  quadratures  . . . . . . . . . . . . . . 297--310
                Sven Ehrich and   
           Giuseppe Mastroianni   Stieltjes polynomials and Lagrange
                                  interpolation  . . . . . . . . . . . . . 311--331
                      A. Melman   A unifying convergence analysis of
                                  second-order methods for secular
                                  equations  . . . . . . . . . . . . . . . 333--344
                   Qiang Du and   
                   Ming Jin and   
                   T. Y. Li and   
                        Z. Zeng   The quasi-Laguerre iteration . . . . . . 345--361
Jürgen Eichenauer-Herrmann and   
                Gerhard Larcher   Average equidistribution properties of
                                  compound nonlinear congruential
                                  pseudorandom numbers . . . . . . . . . . 363--372
                    Horst Alzer   On some inequalities for the gamma and
                                  psi functions  . . . . . . . . . . . . . 373--389
          A. Bérczes and   
                       L. Hajdu   Computational experiences on the
                                  distances of polynomials to irreducible
                                  polynomials  . . . . . . . . . . . . . . 391--398
                  C. Fieker and   
                    A. Jurk and   
                       M. Pohst   On solving relative norm equations in
                                  algebraic number fields  . . . . . . . . 399--410
                 Koh-ichi Nagao   Construction of high-rank elliptic
                                  curves with a nontrivial torsion point   411--415
            David H. Bailey and   
        Jonathan M. Borwein and   
            Richard E. Crandall   On the Khintchine constant . . . . . . . 417--431
           Richard Crandall and   
               Karl Dilcher and   
                 Carl Pomerance   A search for Wieferich and Wilson primes 433--449
                    Tony Forbes   A large pair of twin primes  . . . . . . 451--455
                Adeline Lambert   Table errata: \em Table of integrals,
                                  series, and products [fifth edition,
                                  English translation, Academic Press,
                                  Boston, MA, 1994, MR 94g:00008] by I. S.
                                  Gradshte\uìn and I. M. Ryzhik . . . . . . 463--463

Mathematics of Computation
Volume 66, Number 218, April, 1997

               Richard P. Brent   Book Reviews: \em Enumeration to
                                  $10^{14}$ of the twin primes and Brun's
                                  constant, by Thomas R. Nicely  . . . . . ??
                    Harvey Cohn   Book Reviews: \em Quadratics, by Richard
                                  A Mollin . . . . . . . . . . . . . . . . ??
                   Howard Elman   Book Reviews: \em Iterative methods for
                                  linear and nonlinear equations, by C. T.
                                  Kelley . . . . . . . . . . . . . . . . . ??
                Andreas Frommer   Book Reviews: \em Computer Numerik 1, 2,
                                  by Christoph Überhuber  . . . . . . . . . ??
               Daniel W. Lozier   Book Reviews: \em Abstract machine
                                  models for highly parallel computers,
                                  edited by John R. Davy and Peter M. Dew  ??
            Juan Mario Restrepo   Book Reviews: \em Mathematics, climate
                                  and environment, edited by J.-I. Diaz
                                  and J.-L. Lions  . . . . . . . . . . . . ??
            Vidar Thomée   Book Reviews: \em Acta numerica 1995,
                                  edited by A. Iserles . . . . . . . . . . ??
                Lars B. Wahlbin   Book Reviews: \em Numerical solution of
                                  partial differential equations, by K. W.
                                  Morton and D. F. Mayers  . . . . . . . . ??
             Carsten Carstensen   A posteriori error estimate for the
                                  mixed finite element method  . . . . . . 465--476
              M. G. Andrade and   
                J. B. R. do Val   A numerical scheme based on mean value
                                  solutions for the Helmholtz equation on
                                  triangular grids . . . . . . . . . . . . 477--493
                   Tao Tang and   
                Zhen--huan Teng   Viscosity methods for piecewise smooth
                                  solutions to scalar conservation laws    495--526
               Abdallah Chalabi   On convergence of numerical schemes for
                                  hyperbolic conservation laws with stiff
                                  source terms . . . . . . . . . . . . . . 527--545
          Bernardo Cockburn and   
           Pierre-Alain Gremaud   A priori error estimates for numerical
                                  methods for scalar conservation laws.
                                  Part II: Flux-splitting monotone schemes
                                  on irregular Cartesian grids . . . . . . 547--572
            Norbert Hofmann and   
             Peter Mathé   On quasi-Monte Carlo simulation of
                                  stochastic differential equations  . . . 573--589
            Raymond Couture and   
                Pierre L'Ecuyer   Distribution properties of
                                  multiply-with-carry random number
                                  generators . . . . . . . . . . . . . . . 591--607
           M. E. Froes Bunchaft   Some extensions of the Lanczos--Ortiz
                                  theory of canonical polynomials in the
                                  Tau Method . . . . . . . . . . . . . . . 609--621
                Y. Tourigny and   
                   M. J. Baines   Analysis of an algorithm for generating
                                  locally optimal meshes for $L_2$
                                  approximation by discontinuous piecewise
                                  polynomials  . . . . . . . . . . . . . . 623--650
                  Stefano Serra   Optimal, quasi-optimal and superlinear
                                  band-Toeplitz preconditioners for
                                  asymptotically ill-conditioned positive
                                  definite Toeplitz systems  . . . . . . . 651--665
            Karl Meerbergen and   
                Alastair Spence   Implicitly restarted Arnoldi with
                                  purification for the shift-invert
                                  transformation . . . . . . . . . . . . . 667--689
                   Reiner Horst   On generalized bisection of
                                  $n$-simplices  . . . . . . . . . . . . . 691--698
                      Anne Gelb   The resolution of the Gibbs phenomenon
                                  for spherical harmonics  . . . . . . . . 699--717
               Heike Fassbender   On numerical methods for discrete
                                  least-squares approximation by
                                  trigonometric polynomials  . . . . . . . 719--741
        Jürgen Müller   Accelerated polynomial approximation of
                                  finite order entire functions by growth
                                  reduction  . . . . . . . . . . . . . . . 743--761
          Laurent Habsieger and   
                    Bruno Salvy   On integer Chebyshev polynomials . . . . 763--770
                    Horst Alzer   On some inequalities for the incomplete
                                  gamma function . . . . . . . . . . . . . 771--778
                  A. Omrani and   
                 A. Shokrollahi   Computing irreducible representations of
                                  supersolvable groups over small finite
                                  fields . . . . . . . . . . . . . . . . . 779--786
            Joseph H. Silverman   Computing canonical heights with little
                                  (or no) factorization  . . . . . . . . . 787--805
                   Corey Powell   Bounds for multiplicative cosets over
                                  fields of prime order  . . . . . . . . . 807--822
             Thomas Mattman and   
                     John McKay   Computation of Galois groups over
                                  function fields  . . . . . . . . . . . . 823--831
                   Larry Lehman   Rational eigenvectors in spaces of
                                  ternary forms  . . . . . . . . . . . . . 833--839
               Kenji Koyama and   
             Yukio Tsuruoka and   
               Hiroshi Sekigawa   On searching for solutions of the
                                  Diophantine equation ${x^3} + {y^3} +
                                  {z^3} = n$ . . . . . . . . . . . . . . . 841--851
           Francesco Pappalardi   On the $r$-rank Artin Conjecture . . . . 853--868
                     F. Arnault   The Rabin--Monier theorem for Lucas
                                  pseudoprimes . . . . . . . . . . . . . . 869--881
                    G. L. Cohen   Numbers whose positive divisors have
                                  small integral harmonic mean . . . . . . 883--891
          Chung-Chiang Chou and   
                    Yuefan Deng   Decomposing 40 billion integers by four
                                  tetrahedral numbers  . . . . . . . . . . 893--901
               David Bailey and   
              Peter Borwein and   
                  Simon Plouffe   On the rapid computation of various
                                  polylogarithmic constants  . . . . . . . 903--913
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 915--925
          Stanislav Jakubec and   
          Franti\vsek Marko and   
            Kazimierz Szymiczek   Corrigendum: ``Parity of class numbers
                                  and Witt equivalence of quartic fields''
                                  [Math. Comp. \bf 64 (1995), no. 212,
                                  1711--1715, MR 95m:11123]  . . . . . . . 927--927

Mathematics of Computation
Volume 66, Number 219, July, 1997

            Ohannes Karakashian   Book Reviews: \em Numerical solution of
                                  the incompressible Navier--Stokes
                                  equations, by L. Quartapelle . . . . . . ??
                 J. Thomas King   Book Reviews: \em Theory and numerics of
                                  ordinary and partial differential
                                  equations, by M. Ainsworth, J. Levesley,
                                  W. A. Light and M. Marletta  . . . . . . ??
                   Stig Larsson   Book Reviews: \em Navier--Stokes
                                  equations and nonlinear functional
                                  analysis, by Roger Temam . . . . . . . . ??
             H. W. Lenstra, Jr.   Book Reviews: \em Mathematics of
                                  Computation 1943-1993: A half-century of
                                  computational mathematics, by Walter
                                  Gautschi (Editor)  . . . . . . . . . . . ??
                     Ewald Quak   Book Reviews: \em Selected topics in
                                  approximation and computation, by Marek
                                  A. Kowalski, Krszysztof A. Sikorski and
                                  Frank Stenger  . . . . . . . . . . . . . ??
               Steven M. Serbin   Book Reviews: \em Afternotes on
                                  numerical analysis, by G. W. Stewart . . ??
                 H. C. Williams   Daniel Shanks (1917--1996) . . . . . . . 929--934
           James H. Bramble and   
         Raytcho D. Lazarov and   
              Joseph E. Pasciak   A least-squares approach based on a
                                  discrete minus one inner product for
                                  first order systems  . . . . . . . . . . 935--955
          Douglas N. Arnold and   
            Richard S. Falk and   
                     R. Winther   Preconditioning in
                                  \emph\textbfH$(\operatorname{div})$ and
                                  applications . . . . . . . . . . . . . . 957--984
              Andrew V. Knyazev   New estimates for Ritz vectors . . . . . 985--995
         Carsten Carstensen and   
          Petr Plechá\vc   Numerical solution of the scalar
                                  double-well problem allowing
                                  microstructure . . . . . . . . . . . . . 997--1026
             Gui-Qiang Chen and   
                   Jian-Guo Liu   Convergence of difference schemes with
                                  high resolution for conservation laws    1027--1053
             Shangyou Zhang and   
                   Zhimin Zhang   Treatments of discontinuity and bubble
                                  functions in the multigrid method  . . . 1055--1072
          Bernardo Cockburn and   
               Don A. Jones and   
                 Edriss S. Titi   Estimating the number of asymptotic
                                  degrees of freedom for nonlinear
                                  dissipative systems  . . . . . . . . . . 1073--1087
              William Kahan and   
                    Ren-Cang Li   Composition constants for raising the
                                  orders of unconventional schemes for
                                  ordinary differential equations  . . . . 1089--1099
      Morten Bjòrhus and   
               Andrew M. Stuart   Waveform relaxation as a dynamical
                                  system . . . . . . . . . . . . . . . . . 1101--1117
                I. H. Sloan and   
              H. Wo\'zniakowski   An intractability result for multiple
                                  integration  . . . . . . . . . . . . . . 1119--1124
    Grzegorz W. Wasilkowski and   
          Henryk Wo\'zniakowski   The exponent of discrepancy is at most
                                  $1.4778\cdots$ . . . . . . . . . . . . . 1125--1132
                 Dirk P. Laurie   Calculation of Gauss--Kronrod quadrature
                                  rules  . . . . . . . . . . . . . . . . . 1133--1145
                    Paolo Tilli   On the asymptotic spectrum of Hermitian
                                  block Toeplitz matrices with Toeplitz
                                  blocks . . . . . . . . . . . . . . . . . 1147--1159
              A. G. Earnest and   
                Azar Khosravani   Universal binary Hermitian forms . . . . 1161--1168
             K. Chakraborty and   
                  A. K. Lal and   
                B. Ramakrishnan   Modular forms which behave like theta
                                  series . . . . . . . . . . . . . . . . . 1169--1183
      Stéphane Louboutin   Computation of relative class numbers of
                                  CM-fields  . . . . . . . . . . . . . . . 1185--1194
                     Daqing Wan   Generators and irreducible polynomials
                                  over finite fields . . . . . . . . . . . 1195--1212
                     K. Belabas   A fast algorithm to compute cubic fields 1213--1237
            David S. Dummit and   
          Jonathan W. Sands and   
              Brett A. Tangedal   Computing Stark units for totally real
                                  cubic fields . . . . . . . . . . . . . . 1239--1267
                Michael A. Bean   The practical computation of areas
                                  associated with binary quartic forms . . 1269--1293
                Emmanuel Tollis   Zeros of Dedekind zeta functions in the
                                  critical strip . . . . . . . . . . . . . 1295--1321
                     Roy Maltby   Pure product polynomials and the
                                  Prouhet--Tarry--Escott problem . . . . . 1323--1340
                  Charles Helou   On Wendt's determinant . . . . . . . . . 1341--1346
                  J. H. E. Cohn   The Diophantine equation ${x^4} + 1 =
                                  {Dy^2}$  . . . . . . . . . . . . . . . . 1347--1351
                 R. Ernvall and   
        T. Metsänkylä   On the $p$-divisibility of Fermat
                                  quotients  . . . . . . . . . . . . . . . 1353--1365

Mathematics of Computation
Volume 66, Number 220, October, 1997

              Thomas F. Coleman   Reviews and Descriptions of Tables and
                                  Books: 26. \em Numerical methods for
                                  least squares problems, by Åke Björck  . . ??
                  Michael Holst   Reviews and Descriptions of Tables and
                                  Books: 21. \em Algorithms for elliptic
                                  problems: Efficient sequential and
                                  parallel solvers, by Marián Vajter\vsic   ??
              K. S. Kölbig   Table Errata: 629. Integrals and Series,
                                  Volume 1, by A. P. Prudnikov, Yu. A.
                                  Brychkov, and O. I. Marichev . . . . . . ??
                    R. Mattheij   Reviews and Descriptions of Tables and
                                  Books: 24. \em Numerical solution of
                                  initial-value problems in
                                  differential-algebraic equations, by K.
                                  E. Brenan, S. L. Campbell, and L. R.
                                  Petzold  . . . . . . . . . . . . . . . . ??
                   Chi-Wang Shu   Reviews and Descriptions of Tables and
                                  Books: 23. \em A practical guide to
                                  pseudospectral methods, by Bengt
                                  Fornberg . . . . . . . . . . . . . . . . ??
                  Frank Stenger   Reviews and Descriptions of Tables and
                                  Books: 22. \em Integral equations:
                                  Theory and numerical treatment, by
                                  Wolfgang Hackbusch . . . . . . . . . . . ??
               Charles Van Loan   Reviews and Descriptions of Tables and
                                  Books: 20. \em Accuracy and stability of
                                  numerical algorithms, by Nicholas J.
                                  Higham . . . . . . . . . . . . . . . . . ??
                Lars B. Wahlbin   Reviews and Descriptions of Tables and
                                  Books: 27. \em Number-theoretic function
                                  products, by R. G. Buschman  . . . . . . ??
              Stephen J. Wright   Reviews and Descriptions of Tables and
                                  Books: 25. \em Linear and nonlinear
                                  conjugate gradient-related methods,
                                  edited by Loyce Adams and J. L. Nazareth ??
                Jinsheng Gu and   
                   Xiancheng Hu   Extension theorems for plate elements
                                  with applications  . . . . . . . . . . . 1375--1388
               K. W. Morton and   
              Martin Stynes and   
                Endre Süli   Analysis of a cell-vertex finite volume
                                  method for convection-diffusion problems 1389--1406
                  H. Berger and   
                G. Warnecke and   
                 W. L. Wendland   Analysis of a FEM/BEM coupling method
                                  for transonic flow computations  . . . . 1407--1440
              J.-P. Kauthen and   
                     H. Brunner   Continuous collocation approximations to
                                  solutions of first kind Volterra
                                  equations  . . . . . . . . . . . . . . . 1441--1459
             Mari Paz Calvo and   
              Arieh Iserles and   
                Antonella Zanna   Numerical solution of isospectral flows  1461--1486
                    Musheng Wei   Equivalent formulae for the supremum and
                                  stability of weighted pseudoinverses . . 1487--1508
                      Q. Ni and   
                        Y. Yuan   A subspace limited memory quasi-Newton
                                  algorithm for large-scale nonlinear
                                  bound constrained optimization . . . . . 1509--1520
            Suresh K. Lodha and   
                    Ron Goldman   A unified approach to evaluation
                                  algorithms for multivariate polynomials  1521--1553
              J. M. Peña   B-splines and optimal stability  . . . . 1555--1560
               Thomas Bloom and   
                Jean-Paul Calvi   A continuity property of multivariate
                                  Lagrange interpolation . . . . . . . . . 1561--1577
            K. Yu. Osipenko and   
                 K. Wilderotter   Optimal information for approximating
                                  periodic analytic functions  . . . . . . 1579--1592
              Bernd Fischer and   
            Jürgen Prestin   Wavelets based on orthogonal polynomials 1593--1618
                D. A. MacDonald   On the highly accurate summation of
                                  certain series occurring in plate
                                  contact problems . . . . . . . . . . . . 1619--1627
Jürgen Eichenauer-Herrmann and   
            Harald Niederreiter   Inversive congruential pseudorandom
                                  numbers: Distribution of triples . . . . 1629--1644
                 Noriko Yui and   
                     Don Zagier   On the singular values of Weber modular
                                  functions  . . . . . . . . . . . . . . . 1645--1662
          Johannes Buchmann and   
   Michael J. Jacobson, Jr. and   
                    Edlyn Teske   On some computational problems in finite
                                  abelian groups . . . . . . . . . . . . . 1663--1687
  István Gaál and   
                  Michael Pohst   Power integral bases in a parametric
                                  family of totally real cyclic quintics   1689--1696
                  David W. Boyd   On a problem of Byrnes concerning
                                  polynomials with restricted coefficients 1697--1703
         R. Balasubramanian and   
                  S. V. Nagaraj   Density of Carmichael numbers with three
                                  prime factors  . . . . . . . . . . . . . 1705--1708
           Richard F. Lukes and   
           Renate Scheidler and   
               Hugh C. Williams   Further tabulation of the
                                  Erd\Hos--Selfridge function  . . . . . . 1709--1717
                      Eric Bach   Comments on search procedures for
                                  primitive roots  . . . . . . . . . . . . 1719--1727
               Simon Hunter and   
              Jonathan Sorenson   Approximating the number of integers
                                  free of large prime factors  . . . . . . 1729--1741
              Harvey Dubner and   
                   Harry Nelson   Seven consecutive primes in arithmetic
                                  progression  . . . . . . . . . . . . . . 1743--1749
                Hans J. Stetter   Reviews and Descriptions of Tables and
                                  Books: 19. \em Lectures on finite
                                  precision computations, by Françoise
                                  Chaitin-Chatelin and Valérie Frayssé . . . 1751
              K. S. Kölbig   Table errata: \em Integrals and series.
                                  Vol. 1 [English translation, Gordon &
                                  Breach, New York, 1986, MR 88f:00013 by
                                  A. P. Prudnikov, Yu. A. Brychkov and O.
                                  I. Marichev] . . . . . . . . . . . . . . 1765--1766
              K. S. Kölbig   Table Errata: 630. Integrals and Series,
                                  Volume 1, by A. P. Prudnikov, Yu. A.
                                  Brychkov, and O. I. Marichev . . . . . . 1765--1767
              K. S. Kölbig   Table errata: \booktitleIntegrals and
                                  series. Vol. 4 [Gordon and Breach, New
                                  York, 1992 and MR 93c:44003] by A. P.
                                  Prudnikov, Yu. A. Brychkov and O. I.
                                  Marichev . . . . . . . . . . . . . . . . 1766--1766
              K. S. Kölbig   Table errata: \em Tables of integral
                                  transforms. Vol. I [McGraw-Hill, New
                                  York, 1954, MR \bf 15, 868a] by A.
                                  Erdélyi, W. Magnus and F. Oberhettinger
                                  and F. G. Tricomi  . . . . . . . . . . . 1766--1767
              K. S. Kölbig   Table Errata: 631. \em Higher
                                  transcendental functions, by A. Erdelyi,
                                  W. Magnus, F. Oberhettinger, and F. G.
                                  Tricomi  . . . . . . . . . . . . . . . . 1766--1777
              K. S. Kölbig   Table errata: \booktitleHandbook of
                                  elliptic integrals for engineers and
                                  scientists [Second edition, Springer,
                                  New York, 1971, MR \bf 43 #3506] by P.
                                  F. Byrd and M. D. Friedman . . . . . . . 1767--1767
              K. S. Kölbig   Table Errata: 632. \em Handbook of
                                  elliptic integrals for engineers and
                                  physicists, by P. F. Byrd and M. D.
                                  Friedman . . . . . . . . . . . . . . . . 1767--1767
              Zbigniew Woznicki   Corrigendum  . . . . . . . . . . . . . . 1769--1769
              Zbigniew Woznicki   Erratum: ``The sigma-SOR algorithm and
                                  the optimal strategy for the utilization
                                  of the SOR iterative method'' [Math.
                                  Comp. \bf 62 (1994), no. 206, 619--644,
                                  MR 94g:65040]  . . . . . . . . . . . . . 1769--1769


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

              Winfried Auzinger   Book Reviews: \em Numerical methods for
                                  differential equations. A computational
                                  approach, by John R. Dormand . . . . . . ??
                   Peter Benner   Book Reviews: \em Algorithms for
                                  linear-quadratic optimization, by Vasile
                                  Sima . . . . . . . . . . . . . . . . . . ??
                   Carl de Boor   Book Reviews: \em An introduction to
                                  functional analysis and computational
                                  mathematics, by V. I. Lebedev  . . . . . ??
                  R. P. Gilbert   Book Reviews: \em Computational ocean
                                  acoustics, by Finn B. Jensen, William A.
                                  Kuperman, Michael B. Porter and Henrik
                                  Schmidt  . . . . . . . . . . . . . . . . ??
               Daniel W. Lozier   Book Reviews: \em Applications on
                                  advanced architecture computers, edited
                                  by Greg Astfalk  . . . . . . . . . . . . ??
               Daniel W. Lozier   Book Reviews: \em Computation of special
                                  functions, by Shanjie Zhang and Jianming
                                  Jin  . . . . . . . . . . . . . . . . . . ??
               Daniel W. Lozier   Book Reviews: \em Numerical recipes in
                                  Fortran 90: The art of parallel
                                  scientific computing, Volume 2 of Fortan
                                  numerical recipes, second edition, by
                                  William H. Press, Saul A. Teukolsky,
                                  William T. Vetterling and Brian P.
                                  Flannery . . . . . . . . . . . . . . . . ??
           James H. Bramble and   
          Joseph E. Pasciak and   
            Apostol T. Vassilev   Analysis of non-overlapping domain
                                  decomposition algorithms with inexact
                                  solves . . . . . . . . . . . . . . . . . 1--19
               Kazufumi Ito and   
                   Franz Kappel   The Trotter--Kato theorem and
                                  approximation of PDEs  . . . . . . . . . 21--44
               Stig Larsson and   
        Vidar Thomée and   
                Lars B. Wahlbin   Numerical solution of parabolic
                                  integro-differential equations by the
                                  discontinuous Galerkin method  . . . . . 45--71
             Sigal Gottlieb and   
                   Chi-Wang Shu   Total variation diminishing Runge--Kutta
                                  schemes  . . . . . . . . . . . . . . . . 73--85
                     Haitao Fan   Existence and uniqueness of traveling
                                  waves and error estimates for Godunov
                                  schemes of conservation laws . . . . . . 87--109
    Alfredo Bermúdez and   
       Ricardo Durán and   
       Rodolfo Rodríguez   Finite element analysis of compressible
                                  and incompressible fluid-solid systems   111--136
 Héctor D. Ceniceros and   
                  Thomas Y. Hou   Convergence of a non-stiff boundary
                                  integral method for interfacial flows
                                  with surface tension . . . . . . . . . . 137--182
             Willem Hundsdorfer   A note on stability of the Douglas
                                  splitting method . . . . . . . . . . . . 183--190
                   Amos Ron and   
                    Zuowei Shen   Compactly supported tight affine spline
                                  frames in $L_2(\mathbb R^d)$ . . . . . . 191--207
     M. Jesús Castel and   
    Violeta Migallón and   
     José Penadés   Convergence of non-stationary parallel
                                  multisplitting methods for Hermitian
                                  positive definite matrices . . . . . . . 209--220
                 Suely Oliveira   A new parallel chasing algorithm for
                                  transforming arrowhead matrices to
                                  tridiagonal form . . . . . . . . . . . . 221--235
              J. C. Miellou and   
                  D. El Baz and   
                     P. Spiteri   A new class of asynchronous iterative
                                  algorithms with order intervals  . . . . 237--255
        Hidetsune Kobayashi and   
               Hideo Suzuki and   
                Yoshihiko Sakai   Numerical calculation of the
                                  multiplicity of a solution to algebraic
                                  equations  . . . . . . . . . . . . . . . 257--270
                      A. Melman   Analysis of third-order methods for
                                  secular equations  . . . . . . . . . . . 271--286
                     Isao Shoji   Approximation of continuous time
                                  stochastic processes by a local
                                  linearization method . . . . . . . . . . 287--298
             Fred J. Hickernell   A generalized discrepancy and quadrature
                                  error bound  . . . . . . . . . . . . . . 299--322
               Riadh Ben Ghanem   Quadrature formulae using zeros of
                                  Bessel functions as nodes  . . . . . . . 323--336
                 Kie H. Ham and   
                 Gary L. Mullen   Distribution of irreducible polynomials
                                  of small degrees over finite fields  . . 337--341
                Shuhong Gao and   
     Joachim von zur Gathen and   
                 Daniel Panario   Gauss periods: orders and
                                  cryptographical applications . . . . . . 343--352
                   I. A. Semaev   Evaluation of discrete logarithms in a
                                  group of $p$-torsion points of an
                                  elliptic curve in characteristic $p$ . . 353--356
             M. J. Grannell and   
               T. S. Griggs and   
                   R. A. Mathon   Steiner systems $S(5,6,v)$ with $v=72$
                                  and $84$ . . . . . . . . . . . . . . . . 357--359
                   M. Pohst and   
                   K. Wildanger   Tables of unit groups and class groups
                                  of quintic fields and a regulator bound  361--367
              Stanislav Jakubec   On divisibility of the class number
                                  $h^+$ of the real cyclotomic fields of
                                  prime degree $l$ . . . . . . . . . . . . 369--398
            Graeme L. Cohen and   
          Herman J. J. te Riele   On $\phi$-amicable pairs . . . . . . . . 399--411
         Michael A. Bennett and   
        Benjamin M. M. de Weger   On the Diophantine equation
                                  $|ax^n-by^n|=1$  . . . . . . . . . . . . 413--438
                  J. H. E. Cohn   A conjecture of Erd\Hos on $3$-powerful
                                  numbers  . . . . . . . . . . . . . . . . 439--440
          Anders Björn and   
                    Hans Riesel   Factors of generalized Fermat numbers.
                                  With microfiche supplement . . . . . . . 441--446

Mathematics of Computation
Volume 67, Number 222, April, 1998

           Georgios Akrivis and   
            Michel Crouzeix and   
         Charalambos Makridakis   Implicit-explicit multistep finite
                                  element methods for nonlinear parabolic
                                  problems . . . . . . . . . . . . . . . . 457--477
        Ohannes Karakashian and   
         Charalambos Makridakis   A space-time finite element method for
                                  the nonlinear Schrödinger equation: the
                                  discontinuous Galerkin method  . . . . . 479--499
              Norbert Heuer and   
           Ernst P. Stephan and   
                     Thanh Tran   Multilevel additive Schwarz method for
                                  the $h$-$p$ version of the Galerkin
                                  boundary element method  . . . . . . . . 501--518
                    X. Chen and   
                      L. Qi and   
                         D. Sun   Global and superlinear convergence of
                                  the smoothing Newton method and its
                                  application to general box constrained
                                  variational inequalities . . . . . . . . 519--540
                   Zhimin Zhang   Derivative superconvergent points in
                                  finite element solutions of Poisson's
                                  equation for the serendipity and
                                  intermediate families --- a theoretical
                                  justification  . . . . . . . . . . . . . 541--552
           Christophe Labreuche   A convergence theorem for the fast
                                  multipole method for $2$-dimensional
                                  scattering problems  . . . . . . . . . . 553--591
                     Weidong Lu   Convergence of a random walk method for
                                  a partial differential equation  . . . . 593--602
            Paul A. Farrell and   
          John J. H. Miller and   
           Eugene O'Riordan and   
           Grigorii I. Shishkin   On the non-existence of
                                  $\epsilon$-uniform finite difference
                                  methods on uniform meshes for semilinear
                                  two-point boundary value problems  . . . 603--617
               Bao Cheng Li and   
            Stavros Syngellakis   Numerical conformal mapping based on the
                                  generalised conjugation operator . . . . 619--639
                Lori A. Carmack   Numerical evaluation of a symmetric
                                  potential function . . . . . . . . . . . 641--646
                  Rong-Qing Jia   Approximation properties of multivariate
                                  wavelets . . . . . . . . . . . . . . . . 647--665
              Zhangxin Chen and   
                   Peter Oswald   Multigrid and multilevel methods for
                                  nonconforming $Q_1$ elements . . . . . . 667--693
                 Chen Greif and   
                    David Levin   The $d_2$-transformation for infinite
                                  double series and the
                                  $D_2$-transformation for infinite double
                                  integrals  . . . . . . . . . . . . . . . 695--714
            Franck Beaucoup and   
              Peter Borwein and   
              David W. Boyd and   
             Christopher Pinner   Power series with restricted
                                  coefficients and a root on a given ray   715--736
            Rudolf Scharlau and   
               Boris Hemkemeier   Classification of integral lattices with
                                  large class number . . . . . . . . . . . 737--749
                    Ruedi Suter   The number of lattice points in alcoves
                                  and the exponents of the finite Weyl
                                  groups . . . . . . . . . . . . . . . . . 751--758
                G. Niklasch and   
                    N. P. Smart   Exceptional units in a family of quartic
                                  number fields  . . . . . . . . . . . . . 759--772
                   H. Cohen and   
             F. Diaz y Diaz and   
                     M. Olivier   Computing ray class groups, conductors
                                  and discriminants  . . . . . . . . . . . 773--795
         Richard Blecksmith and   
             John Brillhart and   
                   Irving Gerst   A constructive theory of triple and
                                  quintuple product identities of the
                                  second degree  . . . . . . . . . . . . . 797--814
             Gregory P. Dresden   Orbits of algebraic numbers with low
                                  heights  . . . . . . . . . . . . . . . . 815--820
              Michel Grandcolas   Diameters of complete sets of conjugate
                                  algebraic integers of small degree . . . 821--831
               Kiran S. Kedlaya   Solving constrained Pell equations . . . 833--842
               Takashi Agoh and   
               Karl Dilcher and   
                 Ladislav Skula   Wilson quotients for composite moduli    843--861
                Yannick Saouter   Checking the odd Goldbach conjecture up
                                  to $10^{20}$ . . . . . . . . . . . . . . 863--866
                Michael J. Todd   Book Reviews: \em Primal-dual
                                  interior-point methods, by Stephen J.
                                  Wright . . . . . . . . . . . . . . . . . 867--870
                   Zhimin Zhang   Book Reviews: \em Computational
                                  mathematics in engineering and applied
                                  science: ODEs, DAEs, and PDEs, by
                                  William E. Schiesser . . . . . . . . . . 870--871
                       Jet Wimp   Book Reviews: \em Special functions: An
                                  introduction to the classical functions
                                  of mathematical physics, by Nico M.
                                  Temme  . . . . . . . . . . . . . . . . . 872--874
                  Nico M. Temme   Book Reviews: \em Tables addenda for
                                  Laplace transforms, by R. G. Buschman    875--875

Mathematics of Computation
Volume 67, Number 223, July, 1998

            S. S. Wagstaff, Jr.   Book Reviews: \em Algorithmic number
                                  theory, Volume I: Efficient algorithms,
                                  by Eric Bach and Jeffrey Shallit . . . . ??
                Lars B. Wahlbin   Book Reviews: \em The mathematics of
                                  surfaces, edited by Glen Mullineux . . . ??
                Lars B. Wahlbin   Book Reviews: \em Proceedings of the
                                  Third International Conference on
                                  Spectral and High Order Methods, edited
                                  by Andrew V. Ilin and L. Ridgeway Scott  ??
                 Joseph D. Ward   Book Reviews: \em An introduction to
                                  computational geometry for curves and
                                  surfaces, by Alan Davies and Philip
                                  Samuels  . . . . . . . . . . . . . . . . ??
               Alfred H. Schatz   Pointwise error estimates and asymptotic
                                  error expansion inequalities for the
                                  finite element method on irregular
                                  grids: Part I. Global estimates  . . . . 877--899
           James H. Bramble and   
                       Tong Sun   A negative-norm least squares method for
                                  Reissner--Mindlin plates . . . . . . . . 901--916
                      Bo Li and   
                Mitchell Luskin   Nonconforming finite element
                                  approximation of crystalline
                                  microstructure . . . . . . . . . . . . . 917--946
           R. A. Nicolaides and   
                     D.-Q. Wang   Convergence analysis of a covolume
                                  scheme for Maxwell's equations in three
                                  dimensions . . . . . . . . . . . . . . . 947--963
                       Qiang Du   Discrete gauge invariant approximations
                                  of a time dependent Ginzburg--Landau
                                  model of superconductivity . . . . . . . 965--986
                        Qiya Hu   Interpolation correction for collocation
                                  solutions of Fredholm
                                  integro-differential equations . . . . . 987--999
              J. C. Butcher and   
                  R. P. K. Chan   Efficient Runge--Kutta integrators for
                                  index-$2$ differential algebraic
                                  equations  . . . . . . . . . . . . . . . 1001--1021
      Konstantin Mischaikow and   
                  Marian Mrozek   Chaos in the Lorenz equations: A
                                  computer assisted proof. Part II:
                                  Details  . . . . . . . . . . . . . . . . 1023--1046
             Willem Hundsdorfer   Trapezoidal and midpoint splittings for
                                  initial-boundary value problems  . . . . 1047--1062
                Knut S. Eckhoff   On a high order numerical method for
                                  functions with singularities . . . . . . 1063--1087
               Chun-Hua Guo and   
                Peter Lancaster   Analysis and modification of Newton's
                                  method for algebraic Riccati equations   1089--1105
                  Satya Deo and   
                Lipika Mazumdar   An algorithm for constructing a basis
                                  for $C^r$-spline modules over polynomial
                                  rings  . . . . . . . . . . . . . . . . . 1107--1120
                David K. Maslen   The efficient computation of Fourier
                                  transforms on the symmetric group  . . . 1121--1147
                  John D. Hobby   A natural lattice basis problem with
                                  applications . . . . . . . . . . . . . . 1149--1161
            Richard E. Crandall   Fast evaluation of multiple zeta sums    1163--1172
           Bernt Lindström   Finding finite $B_2$-sequences faster    1173--1178
             Erich Kaltofen and   
                   Victor Shoup   Subquadratic-time factoring of
                                  polynomials over finite fields . . . . . 1179--1197
 Sándor Szabó and   
                    Coburn Ward   Factoring elementary groups of prime
                                  cube order into subsets  . . . . . . . . 1199--1206
                 C. Charnes and   
                   U. Dempwolff   The translation planes of order $49$ and
                                  their automorphism groups  . . . . . . . 1207--1224
             René Schoof   Minus class groups of the fields of the
                                  $l$-th roots of unity  . . . . . . . . . 1225--1245
                     L. Dewaghe   Remarks on the Schoof--Elkies--Atkin
                                  algorithm  . . . . . . . . . . . . . . . 1247--1252
            Daniel J. Bernstein   Detecting perfect powers in essentially
                                  linear time  . . . . . . . . . . . . . . 1253--1283
              Anitha Srinivasan   Computations of class numbers of real
                                  quadratic fields . . . . . . . . . . . . 1285--1308
                   Randy L. Ekl   New results in equal sums of like powers 1309--1315
                    Ray Steiner   Class number bounds and Catalan's
                                  equation . . . . . . . . . . . . . . . . 1317--1322
           Peter Hagis, Jr. and   
                Graeme L. Cohen   Every odd perfect number has a prime
                                  factor which exceeds $10^6$  . . . . . . 1323--1330

Mathematics of Computation
Volume 67, Number 224, October, 1998

                     Wieb Bosma   Book Reviews: \em Polynomial algorithms
                                  in computer algebra, by F. Winkler . . . ??
                 Jeffery Cooper   Book Reviews: \em Computational
                                  differential equations, by K. Eriksson,
                                  D. Estep, P. Hansbo, and C. Johnson  . . ??
                Richard S. Falk   Book Reviews: \em Acta numerica, edited
                                  by A. Iserles  . . . . . . . . . . . . . ??
              R. Baker Kearfott   Book Reviews: \em Numerica: A modelling
                                  language for global optimization, by
                                  Pascal Van Hentenryck, Laurent Michel,
                                  and Yves Deville . . . . . . . . . . . . ??
               Bernard D. Rudin   Book Reviews: \em Computer algebra in
                                  industry: Problem solving in practice,
                                  edited by Arjeh M. Cohen . . . . . . . . ??
                Hans J. Stetter   Book Reviews: \em Computational
                                  differentiation techniques,
                                  applications, and tools, edited by
                                  Martin Berg, Christian Bischof, George
                                  Corliss, and Andreas Griewank  . . . . . ??
               David S. Watkins   Book Reviews: \em Applied numerical
                                  linear algebra, by James W. Demmel . . . ??
               R. Verfürth   A posteriori error estimates for
                                  nonlinear problems.
                                  $L^r(0,T;L^\rho(\Omega))$-error
                                  estimates for finite element
                                  discretizations of parabolic equations   1335--1360
            W. Dörfler and   
                       M. Rumpf   An adaptive strategy for elliptic
                                  problems including a posteriori
                                  controlled boundary approximation  . . . 1361--1382
                   Lung-An Ying   Vortex method for two-dimensional Euler
                                  equations in bounded domains with
                                  boundary correction  . . . . . . . . . . 1383--1400
               Rafikul Alam and   
          Rekha P. Kulkarni and   
             Balmohan V. Limaye   Accelerated spectral approximation . . . 1401--1422
                    Ning Hu and   
             Xian-Zhong Guo and   
                 I. Norman Katz   Bounds for eigenvalues and condition
                                  numbers in the $p$-version of the finite
                                  element method . . . . . . . . . . . . . 1423--1450
              Karen A. Ames and   
            Gordon W. Clark and   
          James F. Epperson and   
            Seth F. Oppenheimer   A comparison of regularizations for an
                                  ill-posed problem  . . . . . . . . . . . 1451--1471
                 J. Saranen and   
                    G. Vainikko   Fast solvers of integral and
                                  pseudodifferential equations on closed
                                  curves . . . . . . . . . . . . . . . . . 1473--1491
                G. Monegato and   
                     L. Scuderi   High order methods for weakly singular
                                  integral equations with nonsmooth input
                                  functions  . . . . . . . . . . . . . . . 1493--1515
                    David Levin   The approximation power of moving
                                  least-squares  . . . . . . . . . . . . . 1517--1531
              Rong-Qing Jia and   
      S. D. Riemenschneider and   
                 Ding-Xuan Zhou   Vector subdivision schemes and multiple
                                  wavelets . . . . . . . . . . . . . . . . 1533--1563
              Atsushi Nagai and   
           Tetsuji Tokihiro and   
               Junkichi Satsuma   The Toda molecule equation and the
                                  $\varepsilon$-algorithm  . . . . . . . . 1565--1575
               Daniel Potts and   
            Gabriele Steidl and   
                 Manfred Tasche   Fast algorithms for discrete polynomial
                                  transforms . . . . . . . . . . . . . . . 1577--1590
             Nicholas J. Higham   Factorizing complex symmetric matrices
                                  with positive definite real and
                                  imaginary parts  . . . . . . . . . . . . 1591--1599
                  Natasha Flyer   Asymptotic upper bounds for the
                                  coefficients in the Chebyshev series
                                  expansion for a general order integral
                                  of a function  . . . . . . . . . . . . . 1601--1616
              Josef Leydold and   
          Wolfgang Hörmann   A sweep-plane algorithm for generating
                                  random tuples in simple polytopes  . . . 1617--1635
                    Edlyn Teske   A space efficient algorithm for group
                                  structure computation  . . . . . . . . . 1637--1663
              Jeremy Teitelbaum   Euclid's algorithm and the Lanczos
                                  method over finite fields  . . . . . . . 1665--1678
                 Igor A. Semaev   An algorithm for evaluation of discrete
                                  logarithms in some nonprime finite
                                  fields . . . . . . . . . . . . . . . . . 1679--1689
      Marc Deléglise and   
                Joël Rivat   Computing $\psi(x)$  . . . . . . . . . . 1691--1696
         Michael J. Mossinghoff   Polynomials with small Mahler measure    1697--1705
     Michael J. Mossinghoff and   
      Christopher G. Pinner and   
              Jeffrey D. Vaaler   Perturbing polynomials with all their
                                  roots on the unit circle . . . . . . . . 1707--1726
                 P. Goetgheluck   Infinite families of solutions of the
                                  equation $\binom{n}{k}=2\binom{a}{b}$    1727--1733
                     Jeff Young   Large primes and Fermat factors  . . . . 1735--1738
                George Fikioris   Table erratum: Table of integrals,
                                  series, and products, [English
                                  translation, Fifth edition, Academic
                                  Press, Boston, MA, 1994; MR 94g:00008]
                                  by I. S. Gradshteyn and I. M. Ryzhik . . 1753--1754


Mathematics of Computation
Volume 68, Number 225, January, 1999

                    Yves Achdou   Book Reviews: \em Numerical methods for
                                  the three dimensional shallow water
                                  equations on supercomputers, by E. D. de
                                  Goede  . . . . . . . . . . . . . . . . . ??
                       Tom King   Book Reviews: \em A first course in the
                                  numerical analysis of differential
                                  equations, by Arieh Iserles  . . . . . . ??
                  Frank Stenger   Book Reviews: \em Boundary element
                                  method, fundamentals and applications,
                                  by Frederico Paris and Jose Canas  . . . ??
                  G. W. Stewart   Book Reviews: \em Numerical linear
                                  algebra, by Lloyd N. Trefethen and David
                                  Bau, III . . . . . . . . . . . . . . . . ??
              Gerhard Dziuk and   
             John E. Hutchinson   The discrete Plateau Problem: Algorithm
                                  and numerics . . . . . . . . . . . . . . 1--23
             Susanne C. Brenner   Convergence of nonconforming multigrid
                                  methods without full elliptic regularity 25--53
               Stig Larsson and   
               J.-M. Sanz-Serna   A shadowing result with applications to
                                  finite element approximation of
                                  reaction-diffusion equations . . . . . . 55--72
         C. González and   
                    C. Palencia   Stability of Runge--Kutta methods for
                                  abstract time-dependent parabolic
                                  problems: The Hölder case . . . . . . . . 73--89
                  C. Schwab and   
                 W. L. Wendland   On the extraction technique in boundary
                                  integral equations . . . . . . . . . . . 91--122
                 A. Bendali and   
                  Ph. Guillaume   Non-reflecting boundary conditions for
                                  waveguides . . . . . . . . . . . . . . . 123--144
                  Xiaobing Feng   Absorbing boundary conditions for
                                  electromagnetic wave propagation . . . . 145--168
                   Xinghua Wang   Convergence of Newton's method and
                                  inverse function theorem in Banach space 169--186
        Ricardo G. Durán   Error estimates for $3$-d narrow finite
                                  elements . . . . . . . . . . . . . . . . 187--199
                    R. Schaback   Improved error bounds for scattered data
                                  interpolation by radial basis functions  201--216
         Abdelkrim Ezzirani and   
                  Allal Guessab   A fast algorithm for Gaussian type
                                  quadrature formulae with mixed boundary
                                  conditions and some lumped mass spectral
                                  approximations . . . . . . . . . . . . . 217--248
                Pierre L'Ecuyer   Tables of linear congruential generators
                                  of different sizes and good lattice
                                  structure  . . . . . . . . . . . . . . . 249--260
                Pierre L'Ecuyer   Tables of maximally equidistributed
                                  combined LFSR generators . . . . . . . . 261--269
              Sandra Feisel and   
     Joachim von zur Gathen and   
            M. Amin Shokrollahi   Normal bases via general Gauss periods   271--290
              Jerzy Browkin and   
                  Herbert Gangl   Tame and wild kernels of quadratic
                                  imaginary number fields  . . . . . . . . 291--305
               Paul van Wamelen   Examples of genus two CM curves defined
                                  over the rationals . . . . . . . . . . . 307--320
        Patrick J. Callahan and   
       Martin V. Hildebrand and   
               Jeffrey R. Weeks   A census of cusped hyperbolic
                                  $3$-manifolds  . . . . . . . . . . . . . 321--332
             Schehrazad Selmane   Non-primitive number fields of degree
                                  eight and of signature $(2,3)$, $(4,2)$,
                                  and $(6,1)$ with small discriminant  . . 333--344
          Johannes Buchmann and   
           Friedrich Eisenbrand   On factor refinement in number fields    345--350
     Helaman R. P. Ferguson and   
            David H. Bailey and   
                     Steve Arno   Analysis of PSLQ, an integer relation
                                  finding algorithm  . . . . . . . . . . . 351--369
  Tomás Oliveira e Silva   Maximum excursion and stopping time
                                  record-holders for the $3x+1$ problem:
                                  computational results  . . . . . . . . . 371--384
                    P. G. Walsh   On two classes of simultaneous Pell
                                  equations with no solutions  . . . . . . 385--388
              Manuel Benito and   
                 Juan L. Varona   Advances in aliquot sequences  . . . . . 389--393
              Todd Cochrane and   
             Robert E. Dressler   Gaps between integers with the same
                                  prime factors  . . . . . . . . . . . . . 395--401
           Miodrag \vZivkovi\'c   The number of primes
                                  $\sum^n_{i=1}(-1)^{n-i}i!$ is finite . . 403--409
                  Pierre Dusart   The $k^{th}$ prime is greater than
                                  $k(\ln k + \ln\ln k-1)$ for $k\geq 2$    411--415
              Harvey Dubner and   
                 Wilfrid Keller   New Fibonacci and Lucas primes . . . . . 417--427
               Richard P. Brent   Factorization of the tenth Fermat number 429--451

Mathematics of Computation
Volume 68, Number 226, April, 1999

                 J. Thomas King   Book Reviews: \em Afternotes goes to
                                  graduate school, lectures in advanced
                                  numerical analysis, by G. W. Stewart . . ??
                David Silvester   Book Reviews: \em Iterative methods for
                                  solving linear systems, by Anne
                                  Greenbaum  . . . . . . . . . . . . . . . ??
                Hans J. Stetter   Book Reviews: \em Numerical analysis, an
                                  introduction, by Walter Gautschi . . . . 887--887
       Marie-Noelle Le Roux and   
              Paul-Emile Mainge   Numerical solution of a fast diffusion
                                  equation . . . . . . . . . . . . . . . . 461--485
            John W. Barrett and   
                James F. Blowey   Finite element approximation of the
                                  Cahn--Hilliard equation with
                                  concentration dependent mobility . . . . 487--517
              Gerhard Dziuk and   
             John E. Hutchinson   The discrete plateau problem:
                                  Convergence results  . . . . . . . . . . 519--546
                   Yang Hongtao   On the convergence of boundary element
                                  methods for initial-Neumann problems for
                                  the heat equation  . . . . . . . . . . . 547--557
             Susanne C. Brenner   Multigrid methods for the computation of
                                  singular solutions and stress intensity
                                  factors I: Corner singularities  . . . . 559--583
               P. Le Tallec and   
                  M. D. Tidriri   Convergence analysis of domain
                                  decomposition algorithms with full
                                  overlapping for the advection-diffusion
                                  problems . . . . . . . . . . . . . . . . 585--606
                 Ana Alonso and   
                  Alberto Valli   An optimal domain decomposition
                                  preconditioner for low-frequency
                                  time-harmonic Maxwell equations  . . . . 607--631
                   Peter Oswald   On the robustness of the
                                  BPX-preconditioner with respect to jumps
                                  in the coefficients  . . . . . . . . . . 633--650
          Ibrahim Coulibaly and   
         Christian Lécot   A quasi-randomized Runge--Kutta method   651--659
               Werner M. Seiler   Numerical integration of constrained
                                  Hamiltonian systems using Dirac brackets 661--681
               I. A. Blatov and   
                  V. V. Strygin   On best possible order of convergence
                                  estimates in the collocation method and
                                  Galerkin's method for singularly
                                  perturbed boundary value problems for
                                  systems of first-order ordinary
                                  differential equations . . . . . . . . . 683--715
             Peter Eberhard and   
              Christian Bischof   Automatic differentiation of numerical
                                  integration algorithms . . . . . . . . . 717--731
                Kurt Jetter and   
      Joachim Stöckler and   
                 Joseph D. Ward   Error estimates for scattered data
                                  interpolation on spheres . . . . . . . . 733--747
       Karlheinz Gröchenig   Irregular sampling, Toeplitz matrices,
                                  and the approximation of entire
                                  functions of exponential type  . . . . . 749--765
         Fred J. Hickernell and   
                   Hee Sun Hong   The asymptotic efficiency of randomized
                                  nets for quadrature  . . . . . . . . . . 767--791
                  Stefano Serra   Superlinear PCG methods for symmetric
                                  Toeplitz systems . . . . . . . . . . . . 793--803
           Hans-Georg Rück   On the discrete logarithm in the divisor
                                  class group of curves  . . . . . . . . . 805--806
         Volker Müller and   
              Andreas Stein and   
                Christoph Thiel   Computing discrete logarithms in real
                                  quadratic congruence function fields of
                                  large genus  . . . . . . . . . . . . . . 807--822
       Ernst-Ulrich Gekeler and   
                 Rita Leitl and   
                      Bodo Wack   Zeta functions of a class of elliptic
                                  curves over a rational function field of
                                  characteristic two . . . . . . . . . . . 823--833
            Joseph H. Silverman   Computing rational points on rank 1
                                  elliptic curves via $L$-series and
                                  canonical heights  . . . . . . . . . . . 835--858
       Michael J. Jacobson, Jr.   Applying sieving to the computation of
                                  quadratic class groups . . . . . . . . . 859--867
                   Peter Roelse   Factoring high-degree polynomials over
                                  $\mathbf {F_2}$ with Niederreiter's
                                  algorithm on the IBM SP2 . . . . . . . . 869--880
               Gwoboa Horng and   
                 Ming-Deh Huang   Solving polynomials by radicals with
                                  roots of unity in minimum depth  . . . . 881--885

Mathematics of Computation
Volume 68, Number 227, July, 1999

Bosco García-Archilla and   
                 Julia Novo and   
                 Edriss S. Titi   An approximate inertial manifolds
                                  approach to postprocessing the Galerkin
                                  method for the Navier--Stokes equations  893--911
              Thomas Y. Hou and   
                Xiao-Hui Wu and   
                   Zhiqiang Cai   Convergence of a multiscale finite
                                  element method for elliptic problems
                                  with rapidly oscillating coefficients    913--943
                      Ruixia Li   On the coupling of BEM and FEM for
                                  exterior problems for the Helmholtz
                                  equation . . . . . . . . . . . . . . . . 945--953
                     A. Chalabi   Convergence of relaxation schemes for
                                  hyperbolic conservation laws with stiff
                                  source terms . . . . . . . . . . . . . . 955--970
               Dongming Wei and   
                     Lew Lefton   A priori $L^\rho$ error estimates for
                                  Galerkin approximations to porous medium
                                  and fast diffusion equations . . . . . . 971--989
             So-Hsiang Chou and   
         Panayot S. Vassilevski   A general mixed covolume framework for
                                  constructing conservative schemes for
                                  elliptic problems  . . . . . . . . . . . 991--1011
               M. I. M. Copetti   Finite element approximation to a
                                  contact problem in linear
                                  thermoelasticity . . . . . . . . . . . . 1013--1024
        Philippe G. LeFloch and   
                   Jian-Guo Liu   Generalized monotone schemes, discrete
                                  paths of extrema, and discrete entropy
                                  conditions . . . . . . . . . . . . . . . 1025--1055
                  Amin Boumenir   Eigenvalues of periodic Sturm--Liouville
                                  problems by the Shannon--Whittaker
                                  sampling theorem . . . . . . . . . . . . 1057--1066
                     Guo Ben-yu   Error estimation of Hermite spectral
                                  method for nonlinear partial
                                  differential equations . . . . . . . . . 1067--1078
            Hermann Brunner and   
                Arvet Pedas and   
               Gennadi Vainikko   The piecewise polynomial collocation
                                  method for nonlinear weakly singular
                                  Volterra equations . . . . . . . . . . . 1079--1095
          Klaus Böhmer and   
             Willy Govaerts and   
       Vladimír Janovsky   Numerical detection of symmetry breaking
                                  bifurcation points with nonlinear
                                  degeneracies . . . . . . . . . . . . . . 1097--1108
      Richard Baltensperger and   
           Jean-Paul Berrut and   
             Benjamin Noël   Exponential convergence of a linear
                                  rational interpolant between transformed
                                  Chebyshev points . . . . . . . . . . . . 1109--1120
        Robert S. Anderssen and   
                 Markus Hegland   For numerical differentiation,
                                  dimensionality can be a blessing!  . . . 1121--1141
                    Abraham Ziv   Sharp ULP rounding error bound for the
                                  hypotenuse function  . . . . . . . . . . 1143--1148
             Christopher Pinner   Double roots of $[-1,1]$ power series
                                  and related matters  . . . . . . . . . . 1149--1178
           Vincenzo Acciaro and   
       Jürgen Klüners   Computing automorphisms of abelian
                                  number fields  . . . . . . . . . . . . . 1179--1186
              J. E. Cremona and   
                        P. Serf   Computing the rank of elliptic curves
                                  over real quadratic number fields of
                                  class number $1$ . . . . . . . . . . . . 1187--1200
            Shigeki Akiyama and   
                Yoshio Tanigawa   Calculation of values of $L$-functions
                                  associated to elliptic curves  . . . . . 1201--1231
              Sachar Paulus and   
           Hans-Georg Rück   Real and imaginary quadratic
                                  representations of hyperelliptic
                                  function fields  . . . . . . . . . . . . 1233--1241
           Daniel C. Shanks and   
            Patrick J. Sime and   
         Lawrence C. Washington   Zeros of 2-adic $L$-functions and
                                  congruences for class numbers and
                                  fundamental units  . . . . . . . . . . . 1243--1255
         Roelof J. Stroeker and   
        Benjamin M. M. de Weger   Elliptic binomial Diophantine equations  1257--1281
           Hiroshi Sekigawa and   
                   Kenji Koyama   Nonexistence conditions of a solution
                                  for the congruence $x_1^k +\cdots +
                                  x_s^k \equiv {N} (\mod p^n)$ . . . . . . 1283--1297
                   L. Hajdu and   
        Á. Pintér   Square product of three integers in
                                  short intervals  . . . . . . . . . . . . 1299--1301
                F. Bertault and   
           O. Ramaré and   
                  P. Zimmermann   On sums of seven cubes . . . . . . . . . 1303--1310
               Thomas R. Nicely   New maximal prime gaps and first
                                  occurrences  . . . . . . . . . . . . . . 1311--1315
      Karl-Heinz Indlekofer and   
             Antal Járai   Largest known twin primes and Sophie
                                  Germain primes . . . . . . . . . . . . . 1317--1324

Mathematics of Computation
Volume 68, Number 228, October, 1999

                    R. Hiptmair   Canonical construction of finite
                                  elements . . . . . . . . . . . . . . . . 1325--1346
        Barbara I. Wohlmuth and   
             Ronald H. W. Hoppe   A comparison of a posteriori error
                                  estimators for mixed finite element
                                  discretizations by Raviart--Thomas
                                  elements . . . . . . . . . . . . . . . . 1347--1378
        Philippe Destuynder and   
        Brigitte Métivet   Explicit error bounds in a conforming
                                  finite element method  . . . . . . . . . 1379--1396
                 Georg Dolzmann   Optimal convergence for the finite
                                  element method in Campanato spaces . . . 1397--1427
                 Jinchao Xu and   
               Ludmil Zikatanov   A monotone finite element scheme for
                                  convection-diffusion equations . . . . . 1429--1446
         R. G. Durán and   
          L. Hervella-Nieto and   
                E. Liberman and   
        R. Rodríguez and   
                     J. Solomin   Approximation of the vibration modes of
                                  a plate by Reissner--Mindlin equations   1447--1463
         Russel E. Caflisch and   
              Thomas Y. Hou and   
                 John Lowengrub   Almost optimal convergence of the point
                                  vortex method for vortex sheets using
                                  numerical filtering  . . . . . . . . . . 1465--1496
            F. Ben Belgacem and   
                    C. Bernardi   Spectral element discretization of the
                                  Maxwell equations  . . . . . . . . . . . 1497--1520
                Holger Wendland   Meshless Galerkin methods using radial
                                  basis functions  . . . . . . . . . . . . 1521--1531
            Wolfgang Dahmen and   
             Reinhold Schneider   Composite wavelet bases for operator
                                  equations  . . . . . . . . . . . . . . . 1533--1567
             Zhongying Chen and   
       Charles A. Micchelli and   
                    Yuesheng Xu   A construction of interpolating wavelets
                                  on invariant sets  . . . . . . . . . . . 1569--1587
               Chun-Hua Guo and   
                Peter Lancaster   Iterative solution of two matrix
                                  equations  . . . . . . . . . . . . . . . 1589--1603
               Benedetta Morini   Convergence behaviour of inexact Newton
                                  methods  . . . . . . . . . . . . . . . . 1605--1613
                   H. G. Khajah   Tau method approximation of a
                                  generalized Epstein--Hubbell
                                  elliptic-type integral . . . . . . . . . 1615--1621
           Djurdje Cvijovic and   
                Jacek Klinowski   Values of the Legendre chi and Hurwitz
                                  zeta functions at rational arguments . . 1623--1630
                Dimitri Leemans   An atlas of regular thin geometries for
                                  small groups . . . . . . . . . . . . . . 1631--1647
        Ki-ichiro Hashimoto and   
               Hiroshi Tsunogai   On the Sato--Tate conjecture for
                                  QM-curves of genus two . . . . . . . . . 1649--1662
               Paul van Wamelen   Proving that a genus $2$ curve has
                                  complex multiplication . . . . . . . . . 1663--1677
                  Masanari Kida   Reduction of elliptic curves over
                                  certain real quadratic number fields . . 1679--1685
                    N. P. Smart   Determining the small solutions to
                                  $S$-unit equations . . . . . . . . . . . 1687--1699
                   H. Cohen and   
             F. Diaz y Diaz and   
                     M. Olivier   Tables of octic fields with a quartic
                                  subfield . . . . . . . . . . . . . . . . 1701--1716
              M. A. Shokrollahi   Relative class number of imaginary
                                  Abelian fields of prime conductor below
                                  $10000$  . . . . . . . . . . . . . . . . 1717--1728
                    James McKee   Speeding Fermat's factoring method . . . 1729--1737
                    Tony Forbes   Prime clusters and Cunningham chains . . 1739--1747
            Douglas E. Iannucci   The second largest prime divisor of an
                                  odd perfect number exceeds ten thousand  1749--1760


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 80, Number 275, July, 2011

          Anders Björn and   
                    Hans Riesel   Table errata 2 to ``Factors of
                                  generalized Fermat numbers'' . . . . . . 1865--1866


American Mathematical Monthly
Volume 104, Number 9, November, 1997

            Victor Adamchik and   
                     Stan Wagon   A Simple Formula for $\pi$ . . . . . . . 852--855


Mathematics of Computation
Volume 90, Number 331, July, 2021

                    P. G. Walsh   Corrigendum to ``On two classes of
                                  simultaneous Pell equations with no
                                  solutions''  . . . . . . . . . . . . . . 2503--2505