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François Morain On the $\operatorname{lcm}$ of the
Differences of Eight Primes . . . . . . 225--229
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
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
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
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
J. H. Bramble and
J. E. Pasciak and
J. Xu Parallel multilevel preconditioners
correction: A unifying approach . . . . ??
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
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
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
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
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
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
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 $ Q R $ 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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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
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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Anders Björn and
Hans Riesel Table errata to ``Factors of generalized
Fermat numbers'' . . . . . . . . . . . . 2099--2099
Anders Björn and
Hans Riesel Table errata 2 to ``Factors of
generalized Fermat numbers'' . . . . . . 1865--1866
Victor Adamchik and
Stan Wagon A Simple Formula for $\pi$ . . . . . . . 852--855
P. G. Walsh Corrigendum to ``On two classes of
simultaneous Pell equations with no
solutions'' . . . . . . . . . . . . . . 2503--2505