Last update:
Tue Jan 2 07:17:43 MST 2024
Anders Björn and
Hans Riesel Factors of generalized Fermat numbers.
With microfiche supplement . . . . . . . 441--446
R. H. Nochetto and
A. Schmidt and
C. Verdi A posteriori error estimation and
adaptivity for degenerate parabolic
problems . . . . . . . . . . . . . . . . 1--24
Dietmar Kröner and
Mario Ohlberger A posteriori error estimates for upwind
finite volume schemes for nonlinear
conservation laws in multi dimensions 25--39
Bruno Franchi and
Maria Carla Tesi A finite element approximation for a
class of degenerate elliptic equations 41--63
Einar Haug and
Ragnar Winther A domain embedding preconditioner for
the Lagrange multiplier system . . . . . 65--82
Matthias Wiedmer Finite element approximation for
equations of magnetohydrodynamics . . . 83--101
So-Hsiang Chou and
Qian Li Error estimates in $L^2$, $H^1$ and
$L^\infty$ in covolume methods for
elliptic and parabolic problems: A
unified approach . . . . . . . . . . . . 103--120
Daniele Boffi and
Franco Brezzi and
Lucia Gastaldi On the problem of spurious eigenvalues
in the approximation of linear elliptic
problems in mixed form . . . . . . . . . 121--140
Zhimin Zhang Ultraconvergence of the patch recovery
technique II . . . . . . . . . . . . . . 141--158
Qun Lin and
Ningning Yan Global superconvergence for Maxwell's
equations . . . . . . . . . . . . . . . 159--176
Dongwoo Sheen and
Ian H. Sloan and
Vidar Thomée A parallel method for
time-discretization of parabolic
problems based on contour integral
representation and quadrature . . . . . 177--195
Z. Wiener and
Y. Yomdin From formal numerical solutions of
elliptic PDE's to the true ones . . . . 197--235
G. N. Milstein and
M. V. Tretyakov Numerical algorithms for semilinear
parabolic equations with small parameter
based on approximation of stochastic
equations . . . . . . . . . . . . . . . 237--267
David Hunter and
Geno Nikolov On the error term of symmetric
Gauss--Lobatto quadrature formulae for
analytic functions . . . . . . . . . . . 269--282
Liqun Qi and
Defeng Sun Improving the convergence of
non-interior point algorithms for
nonlinear complementarity problems . . . 283--304
Avram Sidi Extrapolation methods and derivatives of
limits of sequences . . . . . . . . . . 305--323
Svein Mossige The Postage Stamp Problem: An algorithm
to determine the $h$-range on the
$h$-range formula on the extremal basis
problem for $k=4$ . . . . . . . . . . . 325--337
Stefan Johansson On fundamental domains of arithmetic
Fuchsian groups . . . . . . . . . . . . 339--349
R. Lercier and
F. Morain Computing isogenies between elliptic
curves over $F_{p^n}$ using Couveignes's
algorithm . . . . . . . . . . . . . . . 351--370
Stéphane Louboutin Computation of relative class numbers of
CM-fields by using Hecke $L$-functions 371--393
Guillaume Hanrot Solving Thue equations without the full
unit group . . . . . . . . . . . . . . . 395--405
William Butske and
Lynda M. Jaje and
Daniel R. Mayernik On the equation
$\sum_{p|N}\frac1p+\frac1N = 1$,
pseudoperfect numbers, and perfectly
weighted graphs . . . . . . . . . . . . 407--420
Jean-Marc Deshouillers and
François Hennecart and
Bernard Landreau 7373170279850 . . . . . . . . . . . . . 421--439
Marcel G. de Bruin Book review: \em Orthogonal Rational
Functions . . . . . . . . . . . . . . . 441--442
Ivo Babuska and
John E. Osborn Can a finite element method perform
arbitrarily badly? . . . . . . . . . . . 443--462
James H. Bramble and
Joseph E. Pasciak and
Panayot S. Vassilevski Computational scales of Sobolev norms
with application to preconditioning . . 463--480
Sergey I. Repin A posteriori error estimation for
variational problems with uniformly
convex functionals . . . . . . . . . . . 481--500
Vladimir Shaidurov and
Lutz Tobiska The convergence of the cascadic
conjugate-gradient method applied to
elliptic problems in domains with
re-entrant corners . . . . . . . . . . . 501--520
Padmanabhan Seshaiyer and
Manil Suri Uniform $hp$ convergence results for the
mortar finite element method . . . . . . 521--546
J. B. Burie and
M. Marion Adaptive multilevel methods in space and
time for parabolic problems-the periodic
case . . . . . . . . . . . . . . . . . . 547--581
Hailiang Liu Convergence rates to the discrete
travelling wave for relaxation schemes 583--608
C. González and
C. Palencia Stability of Runge--Kutta methods for
quasilinear parabolic problems . . . . . 609--628
Goong Chen and
Yuanhua Deng and
Wei-Ming Ni and
Jianxin Zhou Boundary element monotone iteration
scheme for semilinear elliptic partial
differential equations, Part II:
Quasimonotone iteration for coupled
systems . . . . . . . . . . . . . . . . 629--652
Hyek Yoo Semi-discretization of stochastic
partial differential equations on
$\mathbb{R}^1$ by a finite-difference
method . . . . . . . . . . . . . . . . . 653--666
James H. Bramble and
Joseph E. Pasciak and
Apostol T. Vassilev Uzawa type algorithms for nonsymmetric
saddle point problems . . . . . . . . . 667--689
Gert Vegter The apolar bilinear form in geometric
modeling . . . . . . . . . . . . . . . . 691--720
A. Bultheel and
C. Díaz-Mendoza and
P. González-Vera and
R. Orive On the convergence of certain Gauss-type
quadrature formulas for unbounded
intervals . . . . . . . . . . . . . . . 721--747
Silvia Dassié and
Marco Vianello and
Renato Zanovello A new summation method for power series
with rational coefficients . . . . . . . 749--756
Raymond Couture and
Pierre L'Ecuyer Lattice computations for random numbers 757--765
David C. Terr A modification of Shanks' baby-step
giant-step algorithm . . . . . . . . . . 767--773
Gene Ward Smith Some polynomials over $\mathbb{Q}(t)$
and their Galois groups . . . . . . . . 775--796
Gerard van der Geer and
Marcel van der Vlugt Tables of curves with many points . . . 797--810
Toshihiro Kumada and
Hannes Leeb and
Yoshiharu Kurita and
Makoto Matsumoto New primitive $t$-nomials $(t = 3,5)$
over $GF(2)$ whose degree is a Mersenne
exponent . . . . . . . . . . . . . . . . 811--814
H. G. Grundman Explicit resolutions of cubic cusp
singularities . . . . . . . . . . . . . 815--825
C. J. Smyth Salem numbers of negative trace . . . . 827--838
Alain Togbé On the solutions of a family of quartic
Thue equations . . . . . . . . . . . . . 839--849
István Gaál and
Günter Lettl A parametric family of quintic Thue
equations . . . . . . . . . . . . . . . 851--859
Carter Bays and
Richard H. Hudson Zeroes of Dirichlet $L$-functions and
irregularities in the distribution of
primes . . . . . . . . . . . . . . . . . 861--866
Douglas E. Iannucci The third largest prime divisor of an
odd perfect number exceeds one hundred 867--879
Jinchao Xu and
Aihui Zhou Local and parallel finite element
algorithms based on two-grid
discretizations . . . . . . . . . . . . 881--909
Richard S. Falk and
Tong Tu Locking-free finite elements for the
Reissner--Mindlin plate . . . . . . . . 911--928
Dan-Ping Yang Analysis of least-squares mixed finite
element methods for nonlinear
nonstationary convection-diffusion
problems . . . . . . . . . . . . . . . . 929--963
M. Farhloul and
S. Nicaise and
L. Paquet A mixed formulation of Boussinesq
equations: Analysis of nonsingular
solutions . . . . . . . . . . . . . . . 965--986
Laurent Gosse and
François James Numerical approximations of
one-dimensional linear conservation
equations with discontinuous
coefficients . . . . . . . . . . . . . . 987--1015
Norbert Hofmann and
Thomas Müller-Gronbach and
Klaus Ritter Optimal approximation of stochastic
differential equations by adaptive
step-size control . . . . . . . . . . . 1017--1034
D. Calvetti and
G. H. Golub and
W. B. Gragg and
L. Reichel Computation of Gauss--Kronrod quadrature
rules . . . . . . . . . . . . . . . . . 1035--1052
Ilya M. Spitkovsky and
Darryl Yong Almost periodic factorization of certain
block triangular matrix functions . . . 1053--1070
Jean-Pierre Dedieu and
Mike Shub Multihomogeneous Newton methods . . . . 1071--1098
J. P. Dedieu and
M. Shub Newton's method for overdetermined
systems of equations . . . . . . . . . . 1099--1115
Andreas Griewank and
Jean Utke and
Andrea Walther Evaluating higher derivative tensors by
forward propagation of univariate Taylor
series . . . . . . . . . . . . . . . . . 1117--1130
Divakar Viswanath Random Fibonacci sequences and the
number $1.13198824\dots$ . . . . . . . . 1131--1155
Peter Borwein and
Michael Mossinghoff Rudin--Shapiro-like polynomials in $L_4$ 1157--1166
P. G. Walsh A polynomial-time complexity bound for
the computation of the singular part of
a Puiseux expansion of an algebraic
function . . . . . . . . . . . . . . . . 1167--1182
P. G. Walsh Irreducibility testing over local fields 1183--1191
Emmanuel Halberstadt and
Alain Kraus On the modular curves $Y_E(7)$ . . . . . 1193--1206
T. Fukuda and
K. Komatsu On a unit group generated by special
values of Siegel modular functions . . . 1207--1212
Christian Friesen Class group frequencies of real
quadratic function fields: The degree
$4$ case . . . . . . . . . . . . . . . . 1213--1228
Henri Cohen and
Xavier-François Roblot Computing the Hilbert class field of
real quadratic fields . . . . . . . . . 1229--1244
R. Scheidler and
A. Stein Voronoi's algorithm in purely cubic
congruence function fields of unit rank
$1$ . . . . . . . . . . . . . . . . . . 1245--1266
Oliver Schirokauer Using number fields to compute
logarithms in finite fields . . . . . . 1267--1283
Carter Bays and
Richard H. Hudson A new bound for the smallest $x$ with
$\pi(x) > \mathrm{li}(x)$ . . . . . . . . 1285--1296
R. P. Brent and
R. E. Crandall and
K. Dilcher and
C. Van Halewyn Three new factors of Fermat numbers . . 1297--1304
William Layton Book review: \em Handbook of numerical
analysis, Vol. VI, Numerical methods for
solids (Part 3), Numerical methods for
fluids (Part 1) . . . . . . . . . . . . 1305--1306
Chi-Wang Shu Book review: \em Dynamic Multilevel
Methods and the Numerical Simulation of
Turbulence . . . . . . . . . . . . . . . 1307--1307
Valeria Simoncini Book review: \em Numerical linear
algebra for high-performance computers 1307--1309
G. W. Stewart Book review: \em ARPACK Users' Guide,
Solution of Large-Scale Eigenvalue
Problems with Implicitly Restarted
Arnoldi Methods . . . . . . . . . . . . 1309--1311
Walter Gautschi Book review: \em Computational
Integration . . . . . . . . . . . . . . 1311--1312
Arjeh M. Cohen Book review: \em Computational methods
in commutative algebra and algebraic
geometry . . . . . . . . . . . . . . . . 1312--1314
Gary Walsh Book review: \em The Mathematics of
Ciphers, Number Theory and RSA
Cryptography . . . . . . . . . . . . . . 1314--1315
Susanne C. Brenner and
Li-Yeng Sung Lower bounds for nonoverlapping domain
decomposition preconditioners in two
dimensions . . . . . . . . . . . . . . . 1319--1339
Lori Badea and
Junping Wang An additive Schwarz method for
variational inequalities . . . . . . . . 1341--1354
M. Lukácová-Medvid'ová and
K. W. Morton and
G. Warnecke Evolution Galerkin methods for
hyperbolic systems in two space
dimensions . . . . . . . . . . . . . . . 1355--1384
Cheng Wang and
Jian-Guo Liu Convergence of gauge method for
incompressible flow . . . . . . . . . . 1385--1407
Christopher Beattie Galerkin eigenvector approximations . . 1409--1434
E. B. Davies A hierarchical method for obtaining
eigenvalue enclosures . . . . . . . . . 1435--1455
Elena Celledoni and
Arieh Iserles Approximating the exponential from a Lie
algebra to a Lie group . . . . . . . . . 1457--1480
Shoufu Li Stability and $B$-convergence properties
of multistep Runge--Kutta methods . . . 1481--1504
Michael S. Floater and
J. M. Peña Monotonicity preservation on triangles 1505--1519
Jieqing Tan and
Shuo Tang Bivariate composite vector valued
rational interpolation . . . . . . . . . 1521--1532
Stefano Serra Capizzano Korovkin tests, approximation, and
ergodic theory . . . . . . . . . . . . . 1533--1558
Charles H. Tong and
Qiang Ye Analysis of the finite precision
bi-conjugate gradient algorithm for
nonsymmetric linear systems . . . . . . 1559--1575
J. I. Aliaga and
D. L. Boley and
R. W. Freund and
V. Hernández A Lanczos-type method for multiple
starting vectors . . . . . . . . . . . . 1577--1601
Jin Qi-nian On the iteratively regularized
Gauss--Newton method for solving
nonlinear ill-posed problems . . . . . . 1603--1623
Jean-Marc Couveignes Isomorphisms between Artin--Schreier
towers . . . . . . . . . . . . . . . . . 1625--1631
Alexander Hulpke Conjugacy classes in finite permutation
groups via homomorphic images . . . . . 1633--1651
F. Thaine Families of irreducible polynomials of
Gaussian periods and matrices of
cyclotomic numbers . . . . . . . . . . . 1653--1666
Jerzy Browkin Computing the tame kernel of quadratic
imaginary fields . . . . . . . . . . . . 1667--1683
Paul van Wamelen Poonen's question concerning isogenies
between Smart's genus $2$ curves . . . . 1685--1697
Robert Gallant and
Robert Lambert and
Scott Vanstone Improving the parallelized Pollard
lambda search on anomalous binary curves 1699--1705
Niklas Broberg Some examples related to the
$abc$-conjecture for algebraic number
fields . . . . . . . . . . . . . . . . . 1707--1710
Everett W. Howe Higher-order Carmichael numbers . . . . 1711--1719
Andreas Stein and
H. C. Williams Explicit primality criteria for
$(p-1)p^n-1$ . . . . . . . . . . . . . . 1721--1734
Kenji Koyama On searching for solutions of the
Diophantine equation $x^3 + y^3 +2z^3 =
n$ . . . . . . . . . . . . . . . . . . . 1735--1742
Panos M. Pardalos Book review: \em Iterative methods for
optimization . . . . . . . . . . . . . . 1743--1743
T. Tiihonen Shape calculus and finite element method
in smooth domains . . . . . . . . . . . 1--15
Jinchao Xu and
Aihui Zhou A two-grid discretization scheme for
eigenvalue problems . . . . . . . . . . 17--25
Albert Cohen and
Wolfgang Dahmen and
Ronald DeVore Adaptive wavelet methods for elliptic
operator equations: Convergence rates 27--75
Paul Houston and
Endre Süli Adaptive Lagrange--Galerkin methods for
unsteady convection-diffusion problems 77--106
Sergey Korotov and
Michal Krízek and
Pekka Neittaanmäki Weakened acute type condition for
tetrahedral triangulations and the
discrete maximum principle . . . . . . . 107--119
A. M. Davie and
J. G. Gaines Convergence of numerical schemes for the
solution of parabolic stochastic partial
differential equations . . . . . . . . . 121--134
Arturo Kohatsu-Higa Weak approximations. A Malliavin
calculus approach . . . . . . . . . . . 135--172
A. L. Dontchev and
William W. Hager The Euler approximation in state
constrained optimal control . . . . . . 173--203
Aeyoung Park Jang and
Seymour Haber Numerical indefinite integration of
functions with singularities . . . . . . 205--221
S. A. Sauter and
C. Lage Transformation of hypersingular
integrals and black-box cubature . . . . 223--250
G. Mastroianni and
G. Monegato Error estimates in the numerical
evaluation of some BEM singular
integrals . . . . . . . . . . . . . . . 251--267
Sangwoo Heo and
Yuan Xu Constructing fully symmetric cubature
formulae for the sphere . . . . . . . . 269--279
J. C. Santos-León Error bounds for interpolatory
quadrature rules on the unit circle . . 281--296
A. Papageorgiou Fast convergence of quasi-Monte Carlo
for a class of isotropic integrals . . . 297--306
M. D. Buhmann A new class of radial basis functions
with compact support . . . . . . . . . . 307--318
Jean-Pierre Dedieu and
Mike Shub On simple double zeros and badly
conditioned zeros of analytic functions
of $n$ variables . . . . . . . . . . . . 319--327
Jérôme Dégot A condition number theorem for
underdetermined polynomial systems . . . 329--335
Jia-Juan Liang and
Kai-Tai Fang and
Fred J. Hickernell and
Runze Li Testing multivariate uniformity and its
applications . . . . . . . . . . . . . . 337--355
Peter Gaal and
Solomon W. Golomb Exhaustive determination of $(1023, 511,
255)$-cyclic difference sets . . . . . . 357--366
Emmanuel Peyre and
Yuri Tschinkel Tamagawa numbers of diagonal cubic
surfaces, numerical evidence . . . . . . 367--387
Daniel J. Bernstein Enumerating solutions to
$p(a)+q(b)=r(c)+s(d)$ . . . . . . . . . 389--394
Christian Batut Classification of quintic eutactic forms 395--417
Christophe Doche On the spectrum of the Zhang--Zagier
height . . . . . . . . . . . . . . . . . 419--430
Hedi Daboussi and
Joël Rivat Explicit upper bounds for exponential
sums over primes . . . . . . . . . . . . 431--447
Stanley Osher Book review: \em Level set methods and
fast marching methods: evolving
interfaces in computational geometry,
fluid mechanics, computer vision, and
materials science . . . . . . . . . . . 449--451
James H. Bramble and
Xuejun Zhang Uniform convergence of the multigrid
V-cycle for an anisotropic problem . . . 453--470
Pat Ryan Eigenvalue and eigenfunction error
estimates for finite element
formulations of linear hydroelasticity 471--487
Trygve K. Nilssen and
Xue-Cheng Tai and
Ragnar Winther A robust nonconforming $H^2$-element . . 489--505
P. Monk and
L. Demkowicz Discrete compactness and the
approximation of Maxwell's equations in
$\mathbb{R}^3$ . . . . . . . . . . . . . 507--523
Javier de Frutos and
Rafael Muñoz-Sola On error estimates for Galerkin spectral
discretizations of parabolic problems
with nonsmooth initial data . . . . . . 525--531
Theodoros Katsaounis and
Charalambos Makridakis Finite volume relaxation schemes for
multidimensional conservation laws . . . 533--553
Laurent Gosse and
Athanasios E. Tzavaras Convergence of relaxation schemes to the
equations of elastodynamics . . . . . . 555--577
Jian-Guo Liu and
Weinan E Simple finite element method in
vorticity formulation for incompressible
flows . . . . . . . . . . . . . . . . . 579--593
Jian-Guo Liu and
Zhouping Xin Convergence of the point vortex method
for $2$-D vortex sheet . . . . . . . . . 595--606
Pascal Laubin Optimal order collocation for the mixed
boundary value problem on polygons . . . 607--636
Zhongxiao Jia and
G. W. Stewart An analysis of the Rayleigh--Ritz method
for approximating eigenspaces . . . . . 637--647
A. Melman Extreme eigenvalues of real symmetric
Toeplitz matrices . . . . . . . . . . . 649--669
Borislav D. Bojanov and
Dimitar K. Dimitrov Gaussian extended cubature formulae for
polyharmonic functions . . . . . . . . . 671--683
G. W. Wasilkowski and
H. Wozniakowski On the complexity of stochastic
integration . . . . . . . . . . . . . . 685--698
Tim Gutzmer and
Jens Markus Melenk Approximation orders for natural splines
in arbitrary dimensions . . . . . . . . 699--703
Marek Beska and
Karol Dziedziul Saturation theorems for interpolation
and the Bernstein--Schnabl operator . . 705--717
Michael J. Johnson The $L_{2}$-approximation order of
surface spline interpolation . . . . . . 719--737
Karsten Urban Wavelet bases in
$\mathbf{H}(\mathrm{div})$ and
$\mathbf{H}(\mathbf{curl})$ . . . . . . 739--766
Tiejun Li and
Fengshan Bai Minimizing multi-homogeneous Bézout
numbers by a local search method . . . . 767--787
R. Shail A class of infinite sums and integrals 789--799
Igor E. Shparlinski On the uniformity of distribution of the
RSA pairs . . . . . . . . . . . . . . . 801--808
Edlyn Teske On random walks for Pollard's rho method 809--825
Antoine Joux and
Reynald Lercier ``Chinese & Match'', an alternative to
Atkin's ``Match and Sort'' method used
in the SEA algorithm . . . . . . . . . . 827--836
Schehrazad Selmane Quadratic extensions of totally real
quintic fields . . . . . . . . . . . . . 837--843
Schehrazad Selmane Tenth degree number fields with quintic
fields having one real place . . . . . . 845--851
C. Charnes and
U. Dempwolff The eight dimensional ovoids over GF(5) 853--861
Zhenxiang Zhang Finding strong pseudoprimes to several
bases . . . . . . . . . . . . . . . . . 863--872
Jon Grantham Frobenius pseudoprimes . . . . . . . . . 873--891
Florian Luca On a conjecture of Erd\Hos and Stewart 893--896
W. Hoffmann and
A. H. Schatz and
L. B. Wahlbin and
G. Wittum Asymptotically exact a posteriori
estimators for the pointwise gradient
error on each element in irregular
meshes. Part 1: A smooth problem and
globally quasi-uniform meshes . . . . . 897--909
Franco Brezzi and
Donatella Marini Error estimates for the three-field
formulation with bubble stabilization 911--934
Andrea Toselli and
Olof B. Widlund and
Barbara I. Wohlmuth An iterative substructuring method for
Maxwell's equations in two dimensions 935--949
Thomas Y. Hou and
Pingwen Zhang A new stabilizing technique for boundary
integral methods for water waves . . . . 951--976
J. Thomas Beale A convergent boundary integral method
for three-dimensional water waves . . . 977--1029
M. Ganesh and
O. Steinbach Boundary element methods for potential
problems with nonlinear boundary
conditions . . . . . . . . . . . . . . . 1031--1042
Haitao Fan Existence of discrete shock profiles of
a class of monotonicity preserving
schemes for conservation laws . . . . . 1043--1069
Leon Q. Brin Numerical testing of the stability of
viscous shock waves . . . . . . . . . . 1071--1088
B. Jüttler Hermite interpolation by Pythagorean
hodograph curves of degree seven . . . . 1089--1111
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward Spherical Marcinkiewicz--Zygmund
inequalities and positive quadrature . . 1113--1130
Alexander G. Ramm and
Alexandra B. Smirnova On stable numerical differentiation . . 1131--1153
Y. H. Dai and
Y. Yuan A three-parameter family of nonlinear
conjugate gradient methods . . . . . . . 1155--1167
Dario Bini and
Gianna M. Del Corso and
Giovanni Manzini and
Luciano Margara Inversion of circulant matrices over
$\mathbf{Z}_m$ . . . . . . . . . . . . . 1169--1182
Amparo Gil and
Javier Segura and
Nico M. Temme On nonoscillating integrals for
computing inhomogeneous Airy functions 1183--1194
Yoshinori Miyazaki and
Yasushi Kikuchi and
DongSheng Cai and
Yasuhiko Ikebe Error analysis for the computation of
zeros of regular Coulomb wave function
and its first derivative . . . . . . . . 1195--1204
Javier Segura Bounds on differences of adjacent zeros
of Bessel functions and iterative
relations between consecutive zeros . . 1205--1220
G. C. Kokkorakis and
J. A. Roumeliotis Power series expansions for Mathieu
functions with small arguments . . . . . 1221--1235
Greg Stein Using the theory of cyclotomy to factor
cyclotomic polynomials over finite
fields . . . . . . . . . . . . . . . . . 1237--1251
Theodoulos Garefalakis and
Daniel Panario The index calculus method using
non-smooth polynomials . . . . . . . . . 1253--1264
Brian D. Boe Geometry of the Jantzen region in
Lusztig's conjecture . . . . . . . . . . 1265--1280
Jerzy Browkin Continued fractions in local fields, II 1281--1292
Claus Fieker Computing class fields via the Artin map 1293--1303
Sam Northshield On iterates of Möbius transformations on
fields . . . . . . . . . . . . . . . . . 1305--1310
A. J. van der Poorten and
H. J. J. te Riele and
H. C. Williams Computer verification of the
Ankeny--Artin--Chowla Conjecture for all
primes less than $100000000000$ . . . . 1311--1328
Stefan Battiato and
Walter Borho Breeding amicable numbers in abundance.
II . . . . . . . . . . . . . . . . . . . 1329--1333
Mark Ainsworth Book review: \em $p$- and $hp$-finite
element methods. Theory and applications
in solid and fluid mechanics . . . . . . 1335--1337
Chi-Wang Shu Book review: \em Spectral methods in
Matlab . . . . . . . . . . . . . . . . . 1337--1338
Raytcho Lazarov Book review: \em Generalized difference
methods for differential equations.
Numerical analysis of finite volume
methods . . . . . . . . . . . . . . . . 1338--1340
Rozwitha März Book review: \em Computer methods for
ordinary differential equations and
differential-algebraic equations . . . . 1340--1342
Ernst Hairer Book review: \em Geometric integration:
numerical solution of differential
equations . . . . . . . . . . . . . . . 1342--1344
Rozwitha März Book review: \em Dynamical systems and
numerical analysis . . . . . . . . . . . 1344--1346
Brian Suchomel Book review: \em Computer solution of
large linear systems . . . . . . . . . . 1346--1348
Harald Niederreiter Book review: \em Character sums with
exponential functions and their
applications . . . . . . . . . . . . . . 1348--1348
P. G. Walsh Book review: \em The algorithmic
resolution of Diophantine equations . . 1349--1352
Carsten Carstensen and
Stefan A. Funken A posteriori error control in low-order
finite element discretisations of
incompressible stationary flow problems 1353--1381
Elsa Liberman A posteriori error estimator for a mixed
finite element method for
Reissner--Mindlin plate . . . . . . . . 1383--1396
Claudio Canuto and
Roland Masson Stabilized wavelet approximations of the
Stokes problem . . . . . . . . . . . . . 1397--1416
L. Halpern A spectral method for the Stokes problem
in three-dimensional unbounded domains 1417--1436
Houde Han and
Weizhu Bao Error estimates for the finite element
approximation of linear elastic
equations in an unbounded domain . . . . 1437--1459
Gabriel N. Gatica and
Salim Meddahi A dual-dual mixed formulation for
nonlinear exterior transmission problems 1461--1480
Stéphane Descombes Convergence of a splitting method of
high order for reaction-diffusion
systems . . . . . . . . . . . . . . . . 1481--1501
J.-P. Kauthen The numerical solution of
integral-algebraic equations of index
$1$ by polynomial spline collocation
methods . . . . . . . . . . . . . . . . 1503--1514
H. Faßbender The parameterized $SR$ algorithm for
symplectic (butterfly) matrices . . . . 1515--1541
L. Bos and
M. A. Taylor and
B. A. Wingate Tensor product Gauss--Lobatto points are
Fekete points for the cube . . . . . . . 1543--1547
Ronald Cools and
James N. Lyness Three- and four-dimensional $K$-optimal
lattice rules of moderate trigonometric
degree . . . . . . . . . . . . . . . . . 1549--1567
Harald Niederreiter and
Igor E. Shparlinski On the distribution of inversive
congruential pseudorandom numbers in
parts of the period . . . . . . . . . . 1569--1574
John B. Friedlander and
Igor E. Shparlinski On the distribution of the power
generator . . . . . . . . . . . . . . . 1575--1589
John B. Friedlander and
Carl Pomerance and
Igor E. Shparlinski Period of the power generator and small
values of Carmichael's function . . . . 1591--1605
Sami Omar Localization of the first zero of the
Dedekind zeta function . . . . . . . . . 1607--1616
F. Thaine Jacobi sums and new families of
irreducible polynomials of Gaussian
periods . . . . . . . . . . . . . . . . 1617--1640
Sebastian Pauli and
Xavier-François Roblot On the computation of all extensions of
a $p$-adic field of a given degree . . . 1641--1659
Samir Siksek Sieving for rational points on
hyperelliptic curves . . . . . . . . . . 1661--1674
E. Victor Flynn and
Franck Leprévost and
Edward F. Schaefer and
William A. Stein and
Michael Stoll and
Joseph L. Wetherell Empirical evidence for the Birch and
Swinnerton-Dyer conjectures for modular
Jacobians of genus $2$ curves . . . . . 1675--1697
David P. Roberts Density of cubic field discriminants . . 1699--1705
Takashi Fukuda and
Keiichi Komatsu On Iwasawa $\lambda_3$-invariants of
cyclic cubic fields of prime conductor 1707--1712
David A. Clark and
Norman C. Jarvis Dense admissible sequences . . . . . . . 1713--1718
David H. Bailey and
David J. Broadhurst Parallel integer relation detection:
Techniques and applications . . . . . . 1719--1736
Pamela A. Cutter Finding prime pairs with particular gaps 1737--1744
Jörg Richstein Verifying the Goldbach conjecture up to
$4\cdot 10^{14}$ . . . . . . . . . . . . 1745--1749
Martin Arnold Book review: \em Nonholonomic motion of
rigid mechanical systems from a DAE
viewpoint . . . . . . . . . . . . . . . 1751--1753
Ya-xiang Yuan Book review: \em Trust-region methods 1753--1754
L. Elsner Book review: \em Fast reliable
algorithms for matrices with structure 1754--1755
Preda Mihailescu and
F. Pappalardi Book review: \em Elliptic curves in
cryptography . . . . . . . . . . . . . . 1755--1759
Patrice Coorevits and
Patrick Hild and
Khalid Lhalouani and
Taoufik Sassi Mixed finite element methods for
unilateral problems: convergence
analysis and numerical studies . . . . . 1--25
Weinan E and
Jian-Guo Liu Projection method III: Spatial
discretization on the staggered grid . . 27--47
Samuel Albert and
Bernardo Cockburn and
Donald A. French and
Todd E. Peterson A posteriori error estimates for general
numerical methods for Hamilton--Jacobi
equations. Part I: The steady state case 49--76
Jerry Markman and
I. Norman Katz Convergence of an iterative algorithm
for solving Hamilton--Jacobi type
equations . . . . . . . . . . . . . . . 77--103
Xue-Cheng Tai and
Jinchao Xu Global and uniform convergence of
subspace correction methods for some
convex optimization problems . . . . . . 105--124
C. González and
A. Ostermann and
C. Palencia and
M. Thalhammer Backward Euler discretization of fully
nonlinear parabolic problems . . . . . . 125--145
James H. Bramble and
Joseph E. Pasciak and
Olaf Steinbach On the stability of the $L^2$ projection
in $H^1(\Omega)$ . . . . . . . . . . . . 147--156
Carsten Carstensen Merging the Bramble--Pasciak--Steinbach
and the Crouzeix--Thomée criterion for
$H^1$-stability of the $L^2$-projection
onto finite element spaces . . . . . . . 157--163
Bin Han and
Rong-Qing Jia Quincunx fundamental refinable functions
and quincunx biorthogonal wavelets . . . 165--196
Klaus Neymeyr A geometric theory for preconditioned
inverse iteration applied to a subspace 197--216
Attahiru Sule Alfa and
Jungong Xue and
Qiang Ye Accurate computation of the smallest
eigenvalue of a diagonally dominant
$M$-matrix . . . . . . . . . . . . . . . 217--236
Natasa Krejic and
Zorana Luzanin Newton-like method with modification of
the right-hand-side vector . . . . . . . 237--250
Yuri Levin and
Adi Ben-Israel Directional Newton methods in $n$
variables . . . . . . . . . . . . . . . 251--262
I. H. Sloan and
A. V. Reztsov Component-by-component construction of
good lattice rules . . . . . . . . . . . 263--273
Kai-Tai Fang and
Chang-Xing Ma and
Peter Winker Centered $L_2$-discrepancy of random
sampling and Latin hypercube design, and
construction of uniform designs . . . . 275--296
Hannes Leeb Asymptotic properties of the spectral
test, diaphony, and related quantities 297--309
Norman Gray Automatic reduction of elliptic
integrals using Carlson's relations . . 311--318
Louis-Sébastien Guimond and
Jirí Patera Proving the deterministic period
breaking of linear congruential
generators using two tile quasicrystals 319--332
Maria Isabel González Vasco and
Igor E. Shparlinski Security of the most significant bits of
the Shamir message passing scheme . . . 333--342
Timothy Kohl and
Daniel R. Replogle Computation of several cyclotomic Swan
subgroups . . . . . . . . . . . . . . . 343--348
W. R. Oudshoorn and
M. van der Put Lie symmetries and differential Galois
groups of linear equations . . . . . . . 349--361
Igor A. Semaev Special prime numbers and discrete logs
in finite prime fields . . . . . . . . . 363--377
D. R. Stinson Some baby-step giant-step algorithms for
the low Hamming weight discrete
logarithm problem . . . . . . . . . . . 379--391
S. D. Galbraith and
S. M. Paulus and
N. P. Smart Arithmetic on superelliptic curves . . . 393--405
John Abbott Sparse squares of polynomials . . . . . 407--413
Anastasios Simalarides Upper bounds for the prime divisors of
Wendt's determinant . . . . . . . . . . 415--427
István Gaál and
Michael Pohst On the resolution of relative Thue
equations . . . . . . . . . . . . . . . 429--440
Chris K. Caldwell and
Yves Gallot On the primality of $n! \pm 1$ and $2
\times 3 \times 5 \times \dotsm \times p
\pm 1$ . . . . . . . . . . . . . . . . . 441--448
Tony Forbes Fifteen consecutive integers with
exactly four prime factors . . . . . . . 449--452
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward Corrigendum to ``Spherical
Marcinkiewicz--Zygmund inequalities and
positive quadrature'' . . . . . . . . . 453--454
Paul Castillo and
Bernardo Cockburn and
Dominik Schötzau and
Christoph Schwab Optimal a priori error estimates for the
$hp$-version of the local discontinuous
Galerkin method for
convection--diffusion problems . . . . . 455--478
Walter Zulehner Analysis of iterative methods for saddle
point problems: a unified approach . . . 479--505
Susanne C. Brenner Convergence of the multigrid $V$-cycle
algorithm for second-order boundary
value problems without full elliptic
regularity . . . . . . . . . . . . . . . 507--525
Gerard R. Richter On the stability of a family of finite
element methods for hyperbolic problems 527--535
Alfredo Bermúdez and
Rodolfo Rodríguez Analysis of a finite element method for
pressure/potential formulation of
elastoacoustic spectral problems . . . . 537--552
Laurent Gosse Localization effects and measure source
terms in numerical schemes for balance
laws . . . . . . . . . . . . . . . . . . 553--582
Nicolas Fournier and
Sylvie Méléard A stochastic particle numerical method
for $3$D Boltzmann equations without
cutoff . . . . . . . . . . . . . . . . . 583--604
Roswitha März and
Antonio R. Rodríguez-Santiesteban Analyzing the stability behaviour of
solutions and their approximations in
case of index-$2$ differential-algebraic
systems . . . . . . . . . . . . . . . . 605--632
G. Everest and
I. Gaál and
K. Györy and
C. Röttger On the spatial distribution of solutions
of decomposable form equations . . . . . 633--648
George Boros and
Victor H. Moll Landen transformations and the
integration of rational functions . . . 649--668
Robert Schaback and
Holger Wendland Inverse and saturation theorems for
radial basis function interpolation . . 669--681
Leyla Daruis and
Pablo González-Vera and
Olav Njåstad Szeg\Ho quadrature formulas for certain
Jacobi-type weight functions . . . . . . 683--701
Reiji Suda and
Masayasu Takami A fast spherical harmonics transform
algorithm . . . . . . . . . . . . . . . 703--715
David M. Hough Asymptotic estimation of Gaussian
quadrature error for a nonsingular
integral in potential theory . . . . . . 717--727
Andreas Enge Computing discrete logarithms in
high-genus hyperelliptic Jacobians in
provably subexponential time . . . . . . 729--742
Peter Dräxler and
Klara Kögerler An algorithm for finding all
preprojective components of the
Auslander--Reiten quiver . . . . . . . . 743--759
Manfred Göbel Finite SAGBI bases for polynomial
invariants of conjugates of alternating
groups . . . . . . . . . . . . . . . . . 761--765
Peter Borwein and
Kevin G. Hare Some computations on the spectra of
Pisot and Salem numbers . . . . . . . . 767--780
Frank Emmerich Average equidistribution and statistical
independence properties of digital
inversive pseudorandom numbers over
parts of the period . . . . . . . . . . 781--791
Andreas Stein and
Edlyn Teske The parallelized Pollard kangaroo method
in real quadratic function fields . . . 793--814
Diane Meuser and
Margaret Robinson The Igusa local zeta functions of
elliptic curves . . . . . . . . . . . . 815--823
Harvey Dubner and
Yves Gallot Distribution of generalized Fermat prime
numbers . . . . . . . . . . . . . . . . 825--832
Harvey Dubner Repunit R49081 is a probable prime . . . 833--835
Andreas Stein and
Edlyn Teske Explicit bounds and heuristics on class
numbers in hyperelliptic function fields 837--861
Joshua Holden Comparison of algorithms to calculate
quadratic irregularity of prime numbers 863--871
Myra B. Cohen and
Charles J. Colbourn and
Lee A. Ives and
Alan C. H. Ling Kirkman triple systems of order $21$
with nontrivial automorphism group . . . 873--881
Andrew Granville and
Carl Pomerance Two contradictory conjectures concerning
Carmichael numbers . . . . . . . . . . . 883--908
Douglas N. Arnold and
Daniele Boffi and
Richard S. Falk Approximation by quadrilateral finite
elements . . . . . . . . . . . . . . . . 909--922
Ville Havu and
Juhani Pitkäranta Analysis of a bilinear finite element
for shallow shells I: Approximation of
inextensional deformations . . . . . . . 923--943
Carsten Carstensen and
Sören Bartels Each averaging technique yields reliable
a posteriori error control in FEM on
unstructured grids. Part I: Low order
conforming, nonconforming, and mixed FEM 945--969
Sören Bartels and
Carsten Carstensen Each averaging technique yields reliable
a posteriori error control in FEM on
unstructured grids. Part II: Higher
order FEM . . . . . . . . . . . . . . . 971--994
Vladimir Druskin and
Shari Moskow Three-point finite-difference schemes,
Padé and the spectral Galerkin method. I.
One-sided impedance approximation . . . 995--1019
Heinrich Freistühler and
Christian Rohde Numerical computation of viscous
profiles for hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 1021--1042
V. Girault and
L. R. Scott Hermite interpolation of nonsmooth
functions preserving boundary conditions 1043--1074
Donald J. Estep and
Andrew M. Stuart The dynamical behavior of the
discontinuous Galerkin method and
related difference schemes . . . . . . . 1075--1103
Xue-Cheng Tai and
Paul Tseng Convergence rate analysis of an
asynchronous space decomposition method
for convex minimization . . . . . . . . 1105--1135
Pierre Dusart Estimates of $\theta(x;k,l)$ for large
values of $x$ . . . . . . . . . . . . . 1137--1168
M. C. De Bonis and
B. Della Vecchia and
G. Mastroianni Approximation of the Hilbert Transform
on the real line using Hermite zeros . . 1169--1188
Beatrice Meini Efficient computation of the extreme
solutions of $X+A^*X^{-1}A=Q$ and
$X-A^*X^{-1}A=Q$ . . . . . . . . . . . . 1189--1204
David W. Boyd On a problem of Byrnes concerning
polynomials with restricted
coefficients, II . . . . . . . . . . . . 1205--1217
Andreas Enge and
Andreas Stein Smooth ideals in hyperelliptic function
fields . . . . . . . . . . . . . . . . . 1219--1230
Karl Entacher and
Thomas Schell and
Andreas Uhl Efficient lattice assessment for LCG and
GLP parameter searches . . . . . . . . . 1231--1242
Hyun Kwang Kim and
Jung Soo Kim Evaluation of zeta function of the
simplest cubic field at negative odd
integers . . . . . . . . . . . . . . . . 1243--1262
D. W. Farmer and
K. James The irreducibility of some level $1$
Hecke polynomials . . . . . . . . . . . 1263--1270
Jesse Ira Deutsch A computational approach to Hilbert
modular group fixed points . . . . . . . 1271--1280
Keith Matthews Thue's theorem and the diophantine
equation $x^2-Dy^2=\pm N$ . . . . . . . 1281--1286
Denis Simon Solving norm equations in relative
number fields using $S$-units . . . . . 1287--1305
A. Paszkiewicz and
A. Schinzel On the least prime primitive root modulo
a prime . . . . . . . . . . . . . . . . 1307--1321
H. Dubner and
T. Forbes and
N. Lygeros and
M. Mizony and
H. Nelson and
P. Zimmermann Ten consecutive primes in arithmetic
progression . . . . . . . . . . . . . . 1323--1328
Toshihiro Kumada and
Hannes Leeb and
Yoshiharu Kurita and
Makoto Matsumoto Corrigenda to ``New primitive
$t$-nomials $(t=3,5)$ over $GF(2)$ whose
degree is a Mersenne exponent,'' and
some new primitive pentanomials . . . . 1337--1338
Chi-Wang Shu Book review: \em Time-dependent partial
differential equations and their
numerical solution . . . . . . . . . . . 1329--1329
Lars B. Wahlbin Book review: \em Foundations of
computational mathematics . . . . . . . 1329--1330
Lars Eldén Book review: \em Templates for the
solution of algebraic eigenvalue
problems, a practical guide . . . . . . 1330--1331
Luminita Vese Book review: \em Geometric partial
differential equations and image
analysis . . . . . . . . . . . . . . . . 1331--1332
Arjeh M. Cohen Book review: \em Fundamental problems of
algorithmic algebra . . . . . . . . . . 1333--1333
Harald Niederreiter Book review: \em Cryptography and
computational number theory . . . . . . 1334--1334
Ivo Babuska and
Jan Chleboun Effects of uncertainties in the domain
on the solution of Neumann boundary
value problems in two spatial dimensions 1339--1370
Christine Bernardi and
Frédéric Hecht Error indicators for the mortar finite
element discretization of the Laplace
equation . . . . . . . . . . . . . . . . 1371--1403
Ricardo H. Nochetto and
Lars B. Wahlbin Positivity preserving finite element
approximation . . . . . . . . . . . . . 1405--1419
Zhimin Zhang Derivative superconvergent points in
finite element solutions of harmonic
functions --- A theoretical
justification . . . . . . . . . . . . . 1421--1430
Ulisse Stefanelli Analysis of a variable time-step
discretization of the three-dimensional
Frémond model for shape memory alloys . . 1431--1453
Gabriel N. Gatica and
Norbert Heuer Conjugate gradient method for dual-dual
mixed formulations . . . . . . . . . . . 1455--1472
Tai-Lin Wang and
William B. Gragg Convergence of the shifted $QR$
algorithm for unitary Hessenberg
matrices . . . . . . . . . . . . . . . . 1473--1496
Johnson C. M. Fok and
Benyu Guo and
Tao Tang Combined Hermite spectral-finite
difference method for the Fokker--Planck
equation . . . . . . . . . . . . . . . . 1497--1528
M. P. Calvo and
C. Palencia Avoiding the order reduction of
Runge--Kutta methods for linear initial
boundary value problems . . . . . . . . 1529--1543
Nikolai Bakaev and
Alexander Ostermann Long-term stability of variable stepsize
approximations of semigroups . . . . . . 1545--1567
Avram Sidi New convergence results on the
generalized Richardson extrapolation
process GREP$^{(1)}$ for logarithmic
sequences . . . . . . . . . . . . . . . 1569--1596
Winfried Kohnen and
Michael Kuß Some numerical computations concerning
spinor zeta functions in genus
$\boldsymbol{2}$ at the central point 1597--1607
I. H. Sloan and
F. Y. Kuo and
S. Joe On the step-by-step construction of
quasi--Monte Carlo integration rules
that achieve strong tractability error
bounds in weighted Sobolev spaces . . . 1609--1640
Fred J. Hickernell and
Xiaoqun Wang The error bounds and tractability of
quasi-Monte Carlo algorithms in infinite
dimension . . . . . . . . . . . . . . . 1641--1661
Shuhong Gao and
Alan G. B. Lauder Hensel lifting and bivariate polynomial
factorisation over finite fields . . . . 1663--1676
Joachim von zur Gathen and
Jürgen Gerhard Polynomial factorization over $\mathbb
{F}_2$ . . . . . . . . . . . . . . . . . 1677--1698
Zhenxiang Zhang A one-parameter quadratic-base version
of the Baillie--PSW probable prime test 1699--1734
Stéphane Louboutin Computation of class numbers of
quadratic number fields . . . . . . . . 1735--1743
Ana-Cecilia de la Maza Bounds for the smallest norm in an ideal
class . . . . . . . . . . . . . . . . . 1745--1758
A. Campillo and
J. I. Farrán Symbolic Hamburger--Noether expressions
of plane curves and applications to AG
codes . . . . . . . . . . . . . . . . . 1759--1780
A. Paszkiewicz and
A. Schinzel Numerical calculation of the density of
prime numbers with a given least
primitive root . . . . . . . . . . . . . 1781--1797
John B. Friedlander and
Carl Pomerance and
Igor E. Shparlinski Corrigendum to ``Period of the power
generator and small values of
Carmichael's function'' . . . . . . . . 1803--1806
Nico M. Temme Book review: \em Asymptotics and
Mellin--Barnes integrals . . . . . . . . 1799--1799
Jayadeep Gopalakrishnan and
Joseph E. Pasciak Overlapping Schwarz preconditioners for
indefinite time harmonic Maxwell
equations . . . . . . . . . . . . . . . 1--15
Andrew Knyazev and
Olof Widlund Lavrentiev regularization $+$ Ritz
approximation $=$ uniform finite element
error estimates for differential
equations with rough coefficients . . . 17--40
Rob Stevenson A stable, direct solver for the gradient
equation . . . . . . . . . . . . . . . . 41--53
Rob Stevenson An analysis of nonconforming multi-grid
methods, leading to an improved method
for the Morley element . . . . . . . . . 55--81
Z. Belhachmi and
F. Ben Belgacem Quadratic finite element approximation
of the Signorini problem . . . . . . . . 83--104
L. Vardapetyan and
L. Demkowicz Full-wave analysis of dielectric
waveguides at a given frequency . . . . 105--129
Ramaz Botchorishvili and
Benoit Perthame and
Alexis Vasseur Equilibrium schemes for scalar
conservation laws with stiff sources . . 131--157
Yen-Hsi Richard Tsai and
Yoshikazu Giga and
Stanley Osher A level set approach for computing
discontinuous solutions of
Hamilton--Jacobi equations . . . . . . . 159--181
Albert Cohen and
Sidi Mahmoud Kaber and
Siegfried Müller and
Marie Postel Fully adaptive multiresolution finite
volume schemes for conservation laws . . 183--225
Hailiang Liu The $l^1$ global decay to discrete
shocks for scalar monotone schemes . . . 227--245
A. J. Roberts A holistic finite difference approach
models linear dynamics consistently . . 247--262
Howard C. Elman and
Alison Ramage A characterisation of oscillations in
the discrete two-dimensional
convection-diffusion equation . . . . . 263--288
Othmar Koch and
Ewa B. Weinmüller The convergence of shooting methods for
singular boundary value problems . . . . 289--305
Lung-An Ying Convergence study of the Chorin--Marsden
formula . . . . . . . . . . . . . . . . 307--333
Ming-Jun Lai and
Larry L. Schumaker Macro-elements and stable local bases
for splines on Powell--Sabin
triangulations . . . . . . . . . . . . . 335--354
Marko Huhtanen Orthogonal polyanalytic polynomials and
normal matrices . . . . . . . . . . . . 355--373
Tai-Lin Wang and
William B. Gragg Convergence of the unitary $QR$
algorithm with a unimodular Wilkinson
shift . . . . . . . . . . . . . . . . . 375--385
Colin Percival Rapid multiplication modulo the sum and
difference of highly composite numbers 387--395
Enrique González-Jiménez and
Josep González Modular curves of genus $2$ . . . . . . 397--418
Avram Sidi A convergence and stability study of the
iterated Lubkin transformation and the
$\theta$-algorithm . . . . . . . . . . . 419--433
Annegret Weng Constructing hyperelliptic curves of
genus $2$ suitable for cryptography . . 435--458
Reinhold Hübl and
Irena Swanson Normal cones of monomial primes . . . . 459--475
Berit Skjernaa Satoh's algorithm in characteristic $2$ 477--487
Patrick J. Costello New amicable pairs of type $(2,2)$ and
type $(3,2)$ . . . . . . . . . . . . . . 489--497
Michael J. Jacobson, Jr. and
Hugh C. Williams New quadratic polynomials with high
densities of prime values . . . . . . . 499--519
A. J. van der Poorten and
H. J. J. te Riele and
H. C. Williams Corrigenda and addition to ``Computer
verification of the
Ankeny--Artin--Chowla conjecture for all
primes less than $100000000000$'' . . . 521--523
So-Hsiang Chou and
Do Y. Kwak and
Kwang Y. Kim Mixed finite volume methods on
nonstaggered quadrilateral grids for
elliptic problems . . . . . . . . . . . 525--539
Zhiming Chen and
Thomas Y. Hou A mixed multiscale finite element method
for elliptic problems with oscillating
coefficients . . . . . . . . . . . . . . 541--576
Bernardo Cockburn and
Mitchell Luskin and
Chi-Wang Shu and
Endre Süli Enhanced accuracy by post-processing for
finite element methods for hyperbolic
equations . . . . . . . . . . . . . . . 577--606
Yuki Matsuzawa and
Takashi Suzuki and
Takuya Tsuchiya Finite element approximation of
$H$-surfaces . . . . . . . . . . . . . . 607--617
T. P. Mathew and
G. Russo Maximum norm stability of difference
schemes for parabolic equations on
overset nonmatching space-time grids . . 619--656
Ping Lin Theoretical and numerical analysis for
the quasi-continuum approximation of a
material particle model . . . . . . . . 657--675
Gerard L. G. Sleijpen and
Jasper van den Eshof and
Paul Smit Optimal a priori error bounds for the
Rayleigh--Ritz method . . . . . . . . . 677--684
Michael S. Floater One-to-one piecewise linear mappings
over triangulations . . . . . . . . . . 685--696
M. N. Spijker and
S. Tracogna and
B. D. Welfert About the sharpness of the stability
estimates in the Kreiss matrix theorem 697--713
Ren-Cang Li On perturbations of matrix pencils with
real spectra, a revisit . . . . . . . . 715--728
Sheon-Young Kang and
Israel Koltracht and
George Rawitscher Nyström--Clenshaw--Curtis quadrature for
integral equations with discontinuous
kernels . . . . . . . . . . . . . . . . 729--756
Jianwei Dian and
R. Baker Kearfott Existence verification for singular and
nonsmooth zeros of real nonlinear
systems . . . . . . . . . . . . . . . . 757--766
Masaaki Sugihara Near optimality of the sinc
approximation . . . . . . . . . . . . . 767--786
Peter Borwein and
Michael J. Mossinghoff Newman polynomials with prescribed
vanishing and integer sets with distinct
subset sums . . . . . . . . . . . . . . 787--800
Shuhong Gao Factoring multivariate polynomials via
partial differential equations . . . . . 801--822
Xiaoqun Wang Strong tractability of multivariate
integration using quasi--Monte Carlo
algorithms . . . . . . . . . . . . . . . 823--838
Oliver D. King A mass formula for unimodular lattices
with no roots . . . . . . . . . . . . . 839--863
Takeyoshi Kogiso and
Go Miyabe and
Miyuki Kobayashi and
Tatsuo Kimura Relative invariants of some $2$-simple
prehomogeneous vector spaces . . . . . . 865--889
Marc Conrad and
Daniel R. Replogle Nontrivial Galois module structure of
cyclotomic fields . . . . . . . . . . . 891--899
Qiang Wu On the linear independence measure of
logarithms of rational numbers . . . . . 901--911
René Schoof Class numbers of real cyclotomic fields
of prime conductor . . . . . . . . . . . 913--937
Mariano Garcia The first known type $(7,1)$ amicable
pair . . . . . . . . . . . . . . . . . . 939--940
Henri Cohen and
Francisco Diaz y Diaz and
Michel Olivier Constructing complete tables of quartic
fields using Kummer theory . . . . . . . 941--951
Antoine Joux and
Reynald Lercier Improvements to the general number field
sieve for discrete logarithms in prime
fields. A comparison with the Gaussian
integer method . . . . . . . . . . . . . 953--967
Tsuyoshi Itoh A computation of minimal polynomials of
special values of Siegel modular
functions . . . . . . . . . . . . . . . 969--973
J. William Hoffman and
James J. Madden and
Hong Zhang Pseudozeros of multivariate polynomials 975--1002
Ku-Young Chang and
Soun-Hi Kwon The class number one problem for some
non-abelian normal CM-fields of degree
$48$ . . . . . . . . . . . . . . . . . . 1003--1017
Richard Blecksmith and
John Brillhart Linear quintuple-product identities . . 1019--1033
David Applegate and
Jeffrey C. Lagarias Lower bounds for the total stopping time
of $3x + 1$ iterates . . . . . . . . . . 1035--1049
Giovanni Resta and
Jean-Charles Meyrignac The smallest solutions to the
diophantine equation $x^6 + y^6 = a^6 +
b^6 + c^6 + d^6 + e^6$ . . . . . . . . . 1051--1054
Nico M. Temme Book review: \em Asymptotic
approximations of integrals . . . . . . 1055--1055
John Strikwerda Book review: \em Collected lectures on
the preservation of stability under
discretization . . . . . . . . . . . . . 1055--1056
Yunqing Huang and
Jinchao Xu A conforming finite element method for
overlapping and nonmatching grids . . . 1057--1066
Pedro Morin and
Ricardo H. Nochetto and
Kunibert G. Siebert Local problems on stars: A posteriori
error estimators, convergence, and
performance . . . . . . . . . . . . . . 1067--1097
Erwin Hernández and
Rodolfo Rodríguez Finite element approximation of spectral
problems with Neumann boundary
conditions on curved domains . . . . . . 1099--1115
F. Ben Belgacem and
Y. Renard Hybrid finite element methods for the
Signorini problem . . . . . . . . . . . 1117--1145
Zhimin Zhang Finite element superconvergence on
Shishkin mesh for $2$-D
convection-diffusion problems . . . . . 1147--1177
Ilaria Perugia and
Dominik Schötzau The $hp$-local discontinuous Galerkin
method for low-frequency time-harmonic
Maxwell equations . . . . . . . . . . . 1179--1214
Caroline Lasser and
Andrea Toselli An overlapping domain decomposition
preconditioner for a class of
discontinuous Galerkin approximations of
advection-diffusion problems . . . . . . 1215--1238
Robert Kirby On the convergence of high resolution
methods with multiple time scales for
hyperbolic conservation laws . . . . . . 1239--1250
Günther Grün On the convergence of entropy consistent
schemes for lubrication type equations
in multiple space dimensions . . . . . . 1251--1279
R. Hiptmair Analysis of multilevel methods for eddy
current problems . . . . . . . . . . . . 1281--1303
S. Serra Capizzano and
E. Tyrtyshnikov How to prove that a preconditioner
cannot be superlinear . . . . . . . . . 1305--1316
Yu-Hong Dai A family of hybrid conjugate gradient
methods for unconstrained optimization 1317--1328
A. Böttcher and
M. Embree and
V. I. Sokolov The spectra of large Toeplitz band
matrices with a randomly perturbed entry 1329--1348
Jungho Yoon $L_p$-error estimates for ``shifted''
surface spline interpolation on Sobolev
space . . . . . . . . . . . . . . . . . 1349--1367
Xuli Han Piecewise quadratic trigonometric
polynomial curves . . . . . . . . . . . 1369--1377
Rick Kreminski Newton--Cotes integration for
approximating Stieltjes (generalized
Euler) constants . . . . . . . . . . . . 1379--1397
Andreas Rieder and
Thomas Schuster The approximate inverse in action II:
convergence and stability . . . . . . . 1399--1415
J. E. Cremona and
D. Rusin Efficient solution of rational conics 1417--1441
Richard P. Brent and
Samuli Larvala and
Paul Zimmermann A fast algorithm for testing
reducibility of trinomials mod $2$ and
some new primitive trinomials of degree
$3021377$ . . . . . . . . . . . . . . . 1443--1452
Josef Leydold Short universal generators via
generalized ratio-of-uniforms method . . 1453--1471
Nick A. Howgrave-Graham and
Phong Q. Nguyen and
Igor E. Shparlinski Hidden number problem with hidden
multipliers, timed-release crypto, and
noisy exponentiation . . . . . . . . . . 1473--1485
Gregory P. Dresden Sums of heights of algebraic numbers . . 1487--1499
Hong You and
Sheng Chen The tame kernel of imaginary quadratic
fields with class number $2$ or $3$ . . 1501--1509
Bettina Eick and
Gretchen Ostheimer On the orbit-stabilizer problem for
integral matrix actions of polycyclic
groups . . . . . . . . . . . . . . . . . 1511--1529
Florian Heß and
Sebastian Pauli and
Michael E. Pohst Computing the multiplicative group of
residue class rings . . . . . . . . . . 1531--1548
Paul M. Jenkins Odd perfect numbers have a prime factor
exceeding $10^{7}$ . . . . . . . . . . . 1549--1554
Richard E. Crandall and
Ernst W. Mayer and
Jason S. Papadopoulos The twenty-fourth Fermat number is
composite . . . . . . . . . . . . . . . 1555--1572
Denis Talay Book review: \em Finite Markov chains
and algorithmic applications . . . . . . 1573--1574
Martin Burger Book review: \em Computational methods
for inverse problems . . . . . . . . . . 1574--1575
Lars B. Wahlbin Book review: \em The finite element
method for elliptic problems . . . . . . 1575--1576
Constantin Bacuta and
James H. Bramble and
Jinchao Xu Regularity estimates for elliptic
boundary value problems in Besov spaces 1577--1595
Nikolai Yu. Bakaev and
Vidar Thomée and
Lars B. Wahlbin Maximum-norm estimates for resolvents of
elliptic finite element operators . . . 1597--1610
Francesca Fierro and
Andreas Veeser On the a posteriori error analysis for
equations of prescribed mean curvature 1611--1634
Ville Havu and
Juhani Pitkäranta Analysis of a bilinear finite element
for shallow shells. II: Consistency
error . . . . . . . . . . . . . . . . . 1635--1653
Tianxiao Zhou Stabilized hybrid finite element methods
based on the combination of saddle point
principles of elasticity problems . . . 1655--1673
Bo Li Finite element analysis of a class of
stress-free martensitic microstructures 1675--1688
Song Wang and
Zi-Cai Li A nonconforming combination of the
finite element and volume methods with
an anisotropic mesh refinement for a
singularly perturbed
convection-diffusion equation . . . . . 1689--1709
Barbara Kaltenbacher V-cycle convergence of some multigrid
methods for ill-posed problems . . . . . 1711--1730
Xu-Dong Liu and
Thomas C. Sideris Convergence of the ghost fluid method
for elliptic equations with interfaces 1731--1746
Kirill Kopotun and
Marian Neamtu and
Bojan Popov Weakly nonoscillatory schemes for scalar
conservation laws . . . . . . . . . . . 1747--1767
B. Cano and
A. Durán Analysis of variable-stepsize linear
multistep methods with special emphasis
on symmetric ones . . . . . . . . . . . 1769--1801
B. Cano and
A. Durán A technique to construct symmetric
variable-stepsize linear multistep
methods for second-order systems . . . . 1803--1816
Philippe P. Pébay and
Timothy J. Baker Analysis of triangle quality measures 1817--1839
S.-H. Lui A pseudospectral mapping theorem . . . . 1841--1854
Gradimir V. Milovanovic and
Miodrag M. Spalevic Error bounds for Gauss--Turán quadrature
formulae of analytic functions . . . . . 1855--1872
Scott N. Kersey On the problems of smoothing and
near-interpolation . . . . . . . . . . . 1873--1885
Peter Fleischmann and
Markus Chr. Holder and
Peter Roelse The black-box Niederreiter algorithm and
its implementation over the binary field 1887--1899
P. B. Borwein and
C. G. Pinner and
I. E. Pritsker Monic integer Chebyshev problem . . . . 1901--1916
R. J. Stroeker and
N. Tzanakis Computing all integer solutions of a
genus $1$ equation . . . . . . . . . . . 1917--1933
Alfred J. van der Poorten A Note on NUCOMP . . . . . . . . . . . . 1935--1946
Roger Alexander Index-doubling in sequences by Aitken
extrapolation . . . . . . . . . . . . . 1947--1961
W. Bley Computation of Stark--Tamagawa units . . 1963--1974
John W. Jones and
David P. Roberts Septic fields with discriminant $\pm 2^a
3^b$ . . . . . . . . . . . . . . . . . . 1975--1985
Joachim von zur Gathen Irreducible trinomials over finite
fields . . . . . . . . . . . . . . . . . 1987--2000
M. K. Bos Coding the principal character formula
for affine Kac--Moody lie algebras . . . 2001--2012
Klaus Bongartz and
Thomas Fritzsche On minimal disjoint degenerations for
preprojective representations of quivers 2013--2042
A. Stoimenow On the unknotting number of minimal
diagrams . . . . . . . . . . . . . . . . 2043--2057
Jeffrey J. Holt The minimal number of solutions to
$\phi(n) = \phi(n+k)$ . . . . . . . . . 2059--2061
Peter Borwein and
Petr Lisonek and
Colin Percival Computational investigations of the
Prouhet--Tarry--Escott Problem . . . . . 2063--2070
Karsten Blankenagel and
Walter Borho and
Axel vom Stein New amicable four-cycles . . . . . . . . 2071--2076
D. E. Iannucci and
R. M. Sorli On the total number of prime factors of
an odd perfect number . . . . . . . . . 2077--2084
Zhenxiang Zhang and
Min Tang Finding strong pseudoprimes to several
bases. II . . . . . . . . . . . . . . . 2085--2097
M. J. Jacobson, Jr. and
Á. Pintér and
P. G. Walsh A computational approach for solving
$y^2 = 1^k + 2^k + \cdots + x^k$ . . . . 2099--2110
Huo-Yuan Duan and
Guo-Ping Liang Nonconforming elements in least-squares
mixed finite element methods . . . . . . 1--18
Jianguo Huang Numerical solution of the elastic
body-plate problem by nonoverlapping
domain decomposition type techniques . . 19--34
Qiya Hu and
Jun Zou Substructuring preconditioners for
saddle-point problems arising from
Maxwell's equations in three dimensions 35--61
D. Aregba-Driollet and
R. Natalini and
S. Tang Explicit diffusive kinetic schemes for
nonlinear degenerate parabolic systems 63--94
Ben-yu Guo and
Cheng-long Xu Mixed Laguerre--Legendre pseudospectral
method for incompressible fluid flow in
an infinite strip . . . . . . . . . . . 95--125
Isaías Alonso-Mallo and
Nuria Reguera Discrete absorbing boundary conditions
for Schrödinger-type equations. Practical
implementation . . . . . . . . . . . . . 127--142
Snorre H. Christiansen Discrete Fredholm properties and
convergence estimates for the electric
field integral equation . . . . . . . . 143--167
Yves Nievergelt Perturbation analysis for circles,
spheres, and generalized hyperspheres
fitted to data by geometric total
least-squares . . . . . . . . . . . . . 169--180
Thomas Sauer Lagrange interpolation on subgrids of
tensor product grids . . . . . . . . . . 181--190
S. B. Damelin Asymptotics of recurrence coefficients
for orthonormal polynomials on the
line---Magnus's method revisited . . . . 191--209
Gerald Moore Laguerre approximation of stable
manifolds with application to connecting
orbits . . . . . . . . . . . . . . . . . 211--242
G. Criscuolo A note on a paper by G. Mastroianni and
G. Monegato . . . . . . . . . . . . . . 243--250
Hirofumi Tsumura Evaluation formulas for Tornheim's type
of alternating double series . . . . . . 251--258
Stefan Heinrich and
Fred J. Hickernell and
Rong-Xian Yue Optimal quadrature for Haar wavelet
spaces . . . . . . . . . . . . . . . . . 259--277
J. N. Lyness and
T. Sòrevik Four-dimensional lattice rules generated
by skew-circulant matrices . . . . . . . 279--295
Cornelius Greither and
Xavier-François Roblot and
Brett A. Tangedal The Brumer--Stark conjecture in some
families of extensions of specified
degree . . . . . . . . . . . . . . . . . 297--315
G. J. van der Heiden Factoring polynomials over finite fields
with Drinfeld modules . . . . . . . . . 317--322
Julián Aguirre and
Fernando Castañeda and
Juan Carlos Peral High rank elliptic curves with torsion
group $\mathbb{Z}/(2\mathbb{Z})$ . . . . 323--331
Kamal Khuri-Makdisi Linear algebra algorithms for divisors
on an algebraic curve . . . . . . . . . 333--357
Bill Allombert An efficient algorithm for the
computation of Galois automorphisms . . 359--375
Sunghan Bae and
Hwanyup Jung and
Jaehyun Ahn Class numbers of some abelian extensions
of rational function fields . . . . . . 377--386
Mark L. Bauer The arithmetic of certain cubic function
fields . . . . . . . . . . . . . . . . . 387--413
Mark Watkins Real zeros of real odd Dirichlet
$L$-functions . . . . . . . . . . . . . 415--423
Pieter Moree Chebyshev's bias for composite numbers
with restricted prime divisors . . . . . 425--449
Pieter Moree and
Herman J. J. te Riele The hexagonal versus the square lattice 451--473
T. Goto and
S. Shibata All numbers whose positive divisors have
integral harmonic mean up to
$\mathbf{300}$ . . . . . . . . . . . . . 475--491
Hugh L. Montgomery and
Ulrike M. A. Vorhauer Greedy sums of distinct squares . . . . 493--513
Robert M. Freund Book review: \em A mathematical view of
interior-point methods in convex
optimization . . . . . . . . . . . . . . 515--516
Alfred H. Schatz and
Lars B. Wahlbin Asymptotically exact a posteriori
estimators for the pointwise gradient
error on each element in irregular
meshes. Part II: The piecewise linear
case . . . . . . . . . . . . . . . . . . 517--523
Yunqing Huang and
Zhongci Shi and
Tao Tang and
Weimin Xue A multilevel successive iteration method
for nonlinear elliptic problems . . . . 525--539
Xiaobing Feng and
Andreas Prohl Analysis of a fully discrete finite
element method for the phase field model
and approximation of its sharp interface
limits . . . . . . . . . . . . . . . . . 541--567
Bernardo Cockburn and
Guido Kanschat and
Dominik Schötzau The local discontinuous Galerkin method
for the Oseen equations . . . . . . . . 569--593
Lung-An Ying Finite difference method for a
combustion model . . . . . . . . . . . . 595--611
Georgios Akrivis and
Michel Crouzeix Linearly implicit methods for nonlinear
parabolic equations . . . . . . . . . . 613--635
Sheldon Axler and
Pamela Gorkin and
Karl Voss The Dirichlet problem on quadratic
surfaces . . . . . . . . . . . . . . . . 637--651
Alan George and
Khakim D. Ikramov Gaussian elimination is stable for the
inverse of a diagonally dominant matrix 653--657
Silvia Bertoluzza Substructuring preconditioners for the
three fields domain decomposition method 659--689
Joan-Josep Climent and
Carmen Perea and
Leandro Tortosa and
Antonio Zamora Sequential and parallel synchronous
alternating iterative methods . . . . . 691--717
Yoshinori Miyazaki and
Nobuyoshi Asai and
Yasushi Kikuchi and
DongSheng Cai and
Yasuhiko Ikebe Computation of multiple eigenvalues of
infinite tridiagonal matrices . . . . . 719--730
George Kvernadze Approximating the jump discontinuities
of a function by its Fourier--Jacobi
coefficients . . . . . . . . . . . . . . 731--751
Paul N. Swarztrauber and
William F. Spotz Spherical harmonic projectors . . . . . 753--760
Antonella Zanna Recurrence relations and convergence
theory of the generalized polar
decomposition on Lie groups . . . . . . 761--776
Mireille Bossy Optimal rate of convergence of a
stochastic particle method to solutions
of 1D viscous scalar conservation laws 777--812
Piotr Gajda and
Youming Li and
Leszek Plaskota and
Grzegorz W. Wasilkowski A Monte Carlo algorithm for weighted
integration over $\mathbb{R}^d$ . . . . 813--825
Peter Mathé and
Gang Wei Quasi-Monte Carlo integration over
$\mathbb{R}^d$ . . . . . . . . . . . . . 827--841
Kai-Tai Fang and
Gennian Ge A sensitive algorithm for detecting the
inequivalence of Hadamard matrices . . . 843--851
Friedrich Pillichshammer A lower bound for rank $2$ lattice rules 853--860
B. Datskovsky and
P. Guerzhoy Searching for Kummer congruences in an
infinite slope family . . . . . . . . . 861--868
Imin Chen and
Chris Cummins Elliptic curves with nonsplit mod $11$
representations . . . . . . . . . . . . 869--880
Manuel Breuning On equivariant global epsilon constants
for certain dihedral extensions . . . . 881--898
Philip B. McLaughlin, Jr. New frameworks for Montgomery's modular
multiplication method . . . . . . . . . 899--906
Mark Watkins Class numbers of imaginary quadratic
fields . . . . . . . . . . . . . . . . . 907--938
Joshua Holden First-hit analysis of algorithms for
computing quadratic irregularity . . . . 939--948
Tadej Kotnik Computational estimation of the order of
$\zeta (\frac{1}{2}+it)$ . . . . . . . . 949--956
Michael Filaseta and
Andrzej Schinzel On testing the divisibility of lacunary
polynomials by cyclotomic polynomials 957--965
P. B. Borwein and
R. A. Ferguson A complete description of Golay pairs
for lengths up to 100 . . . . . . . . . 967--985
Kevin A. Broughan and
A. Ross Barnett The holomorphic flow of the Riemann zeta
function . . . . . . . . . . . . . . . . 987--1004
Alessandro Conflitti and
Igor E. Shparlinski On the multidimensional distribution of
the subset sum generator of pseudorandom
numbers . . . . . . . . . . . . . . . . 1005--1011
Koji Suzuki An estimate for the number of integers
without large prime factors . . . . . . 1013--1022
A. O. L. Atkin and
D. J. Bernstein Prime sieves using binary quadratic
forms . . . . . . . . . . . . . . . . . 1023--1030
Jerzy Browkin Some new kinds of pseudoprimes . . . . . 1031--1037
David Gottlieb and
Sigal Gottlieb Book review: \em High-order methods for
incompressible fluid flow . . . . . . . 1039--1040
Paul Tseng Book review: \em Lectures on modern
convex optimization: analysis,
algorithms and engineering applications 1040--1040
Susanne C. Brenner Convergence of nonconforming $V$-cycle
and $F$-cycle multigrid algorithms for
second order elliptic boundary value
problems . . . . . . . . . . . . . . . . 1041--1066
Susanne C. Brenner Korn's inequalities for piecewise $H^1$
vector fields . . . . . . . . . . . . . 1067--1087
Jun Zhao Analysis of finite element approximation
for time-dependent Maxwell problems . . 1089--1105
W. Dahmen and
B. Faermann and
I. G. Graham and
W. Hackbusch and
S. A. Sauter Inverse inequalities on
non-quasi-uniform meshes and application
to the mortar element method . . . . . . 1107--1138
Jinchao Xu and
Zhimin Zhang Analysis of recovery type a posteriori
error estimators for mildly structured
grids . . . . . . . . . . . . . . . . . 1139--1152
C. Carstensen All first-order averaging techniques for
a posteriori finite element error
control on unstructured grids are
efficient and reliable . . . . . . . . . 1153--1165
Zhiming Chen and
Jia Feng An adaptive finite element algorithm
with reliable and efficient error
control for linear parabolic problems 1167--1193
Alan Demlow Piecewise linear finite element methods
are not localized . . . . . . . . . . . 1195--1201
Bruno Despres Lax theorem and finite volume schemes 1203--1234
K. H. Karlsen and
C. Klingenberg and
N. H. Risebro A relaxation scheme for conservation
laws with a discontinuous coefficient 1235--1259
Mao Ye Existence and asymptotic stability of
relaxation discrete shock profiles . . . 1261--1296
Ivan P. Gavrilyuk and
Wolfgang Hackbusch and
Boris N. Khoromskij Data-sparse approximation to the
operator-valued functions of elliptic
operator . . . . . . . . . . . . . . . . 1297--1324
Mohamed El-Gamel and
John R. Cannon and
Ahmed I. Zayed Sinc--Galerkin method for solving linear
sixth-order boundary-value problems . . 1325--1343
D. P. Dryanov and
M. A. Qazi and
Q. I. Rahman Local behaviour of polynomials . . . . . 1345--1364
Allal Guessab and
Gerhard Schmeisser Convexity results and sharp error
estimates in approximate multivariate
integration . . . . . . . . . . . . . . 1365--1384
J. M. Peña A stable test to check if a matrix is a
nonsingular $M$-matrix . . . . . . . . . 1385--1392
Carlos M. Mora Numerical simulation of stochastic
evolution equations associated to
quantum Markov semigroups . . . . . . . 1393--1415
Bernard Deconinck and
Matthias Heil and
Alexander Bobenko and
Mark van Hoeij and
Marcus Schmies Computing Riemann theta functions . . . 1417--1442
Richard P. Groenewegen Bounds for computing the tame kernel . . 1443--1458
Nils Bruin Visualising Sha[2] in Abelian surfaces 1459--1476
Arjeh M. Cohen and
Scott H. Murray and
D. E. Taylor Computing in groups of Lie type . . . . 1477--1498
Joachim von zur Gathen and
Michael Nöcker Computing special powers in finite
fields . . . . . . . . . . . . . . . . . 1499--1523
David S. Dummit and
Brett A. Tangedal and
Paul B. van Wamelen Stark's conjecture over complex cubic
number fields . . . . . . . . . . . . . 1525--1546
Felix Lazebnik and
Andrew Thomason Orthomorphisms and the construction of
projective planes . . . . . . . . . . . 1547--1557
Pedro Berrizbeitia and
T. G. Berry Biquadratic reciprocity and a Lucasian
primality test . . . . . . . . . . . . . 1559--1564
Marc Deléglise and
Pierre Dusart and
Xavier-François Roblot Counting primes in residue classes . . . 1565--1575
Christine Bernardi Book review: \em Chebyshev polynomials 1577--1577
Tariq Aslam Book review: \em Level set methods and
dynamic implicit surfaces . . . . . . . 1578--1578
Jeremy Levesley Book review: \em Radial basis functions:
theory and implementations . . . . . . . 1578--1581
H. Niederreiter Book review: \em Cryptographic
applications of analytic number theory 1581--1582
Igor Shparlinski Book review: \em RSA and public-key
cryptography . . . . . . . . . . . . . . 1582--1582
Nicolas Neuss and
Christian Wieners Criteria for the approximation property
for multigrid methods in nonnested
spaces . . . . . . . . . . . . . . . . . 1583--1600
I. Babuska and
S. A. Sauter Algebraic algorithms for the analysis of
mechanical trusses . . . . . . . . . . . 1601--1622
Alan Demlow Localized pointwise error estimates for
mixed finite element methods . . . . . . 1623--1653
Huo-Yuan Duan and
Guo-Ping Liang A locking-free Reissner--Mindlin
quadrilateral element . . . . . . . . . 1655--1671
M. Amara and
E. Chacón Vera and
D. Trujillo Vorticity-velocity-pressure formulation
for Stokes problem . . . . . . . . . . . 1673--1697
Maxim A. Olshanskii and
Arnold Reusken Grad-div stabilization for Stokes
equations . . . . . . . . . . . . . . . 1699--1718
J. L. Guermond and
Jie Shen On the error estimates for the
rotational pressure-correction
projection methods . . . . . . . . . . . 1719--1737
James H. Bramble and
Joseph E. Pasciak A new approximation technique for
div-curl systems . . . . . . . . . . . . 1739--1762
Paola Pozzi ${L}^2$-estimate for the discrete
Plateau Problem . . . . . . . . . . . . 1763--1777
Xavier Antoine and
Christophe Besse and
Vincent Mouysset Numerical schemes for the simulation of
the two-dimensional Schrödinger equation
using non-reflecting boundary conditions 1779--1799
I. Alonso-Mallo and
B. Cano and
J. C. Jorge Spectral-fractional step Runge--Kutta
discretizations for initial boundary
value problems with time dependent
boundary conditions . . . . . . . . . . 1801--1825
Xiaobai Sun and
Enrique S. Quintana-Ortí Spectral division methods for block
generalized Schur decompositions . . . . 1827--1847
Marcelo Queiroz and
Joaquim Júdice and
Carlos Humes, Jr. The symmetric eigenvalue complementarity
problem . . . . . . . . . . . . . . . . 1849--1863
Jerry Eriksson and
Mårten E. Gulliksson Local results for the Gauss--Newton
method on constrained rank-deficient
nonlinear least squares . . . . . . . . 1865--1883
Fred J. Hickernell and
Ian H. Sloan and
Grzegorz W. Wasilkowski On tractability of weighted integration
over bounded and unbounded regions in
$\mathbb{R}^s$ . . . . . . . . . . . . . 1885--1901
Fred J. Hickernell and
Ian H. Sloan and
Grzegorz W. Wasilkowski On strong tractability of weighted
multivariate integration . . . . . . . . 1903--1911
Bin Han and
Thomas P.-Y. Yu and
Bruce Piper Multivariate refinable Hermite
interpolant . . . . . . . . . . . . . . 1913--1935
Iván Area and
Dimitar K. Dimitrov and
Eduardo Godoy and
André Ronveaux Zeros of Gegenbauer and Hermite
polynomials and connection coefficients 1937--1951
Christian Lécot and
Wolfgang Wagner A quasi--Monte Carlo scheme for
Smoluchowski's coagulation equation . . 1953--1966
J. Dick and
F. Y. Kuo Reducing the construction cost of the
component-by-component construction of
good lattice rules . . . . . . . . . . . 1967--1988
Ichiro Shimada Rational double points on supersingular
$K3$ surfaces . . . . . . . . . . . . . 1989--2017
Arthur Baragar Canonical vector heights on K3 surfaces
with Picard number three--- An argument
for nonexistence . . . . . . . . . . . . 2019--2025
Neal Koblitz and
Alfred J. Menezes Obstacles to the torsion-subgroup attack
on the decision Diffie--Hellman Problem 2027--2041
Pilar Fernandez-Ferreiros and
M. Angeles Gomez-Molleda Deciding the nilpotency of the Galois
group by computing elements in the
centre . . . . . . . . . . . . . . . . . 2043--2060
Karim Belabas On quadratic fields with large $3$-rank 2061--2074
Petteri Kaski and
Patric R. J. Östergård The Steiner triple systems of order $19$ 2075--2092
Garikai Campbell Points on $y=x^2$ at rational distance 2093--2108
G. J. van der Heiden Addendum to ``Factoring polynomials over
finite fields with Drinfeld modules'' 2109--2109
Lars B. Wahlbin Book review: \em Finite element methods
and $B$-splines . . . . . . . . . . . . 2111--2113
A. Bultheel Book review: \em Solving nonlinear
equations with Newton's method . . . . . 2113--2114
Andrei Draganescu and
Todd F. Dupont and
L. Ridgway Scott Failure of the discrete maximum
principle for an elliptic finite element
problem . . . . . . . . . . . . . . . . 1--23
Dietrich Braess and
Pingbing Ming A finite element method for nearly
incompressible elasticity problems . . . 25--52
Vivette Girault and
Béatrice Rivi\`ere and
Mary F. Wheeler A discontinuous Galerkin method with
nonoverlapping domain decomposition for
the Stokes and Navier--Stokes problems 53--84
Ohannes Karakashian and
Charalambos Makridakis Convergence of a continuous Galerkin
method with mesh modification for
nonlinear wave equations . . . . . . . . 85--102
Theodoros Katsaounis and
Chiara Simeoni First and second order error estimates
for the Upwind Source at Interface
method . . . . . . . . . . . . . . . . . 103--122
Alfredo Bermúdez and
Rodolfo Rodríguez and
Pilar Salgado Numerical treatment of realistic
boundary conditions for the eddy current
problem in an electrode via Lagrange
multipliers . . . . . . . . . . . . . . 123--151
Martin J. Gander and
Laurence Halpern Absorbing boundary conditions for the
wave equation and parallel computing . . 153--176
Olivier Vacus Mathematical analysis of absorbing
boundary conditions for the wave
equation: the corner problem . . . . . . 177--200
L. Ferracina and
M. N. Spijker An extension and analysis of the
Shu--Osher representation of
Runge--Kutta methods . . . . . . . . . . 201--219
Gu$\eth$björn F. Jónsson and
Stephen A. Vavasis Accurate solution of polynomial
equations using Macaulay resultant
matrices . . . . . . . . . . . . . . . . 221--262
Ivan G. Ivanov and
Vejdi I. Hasanov and
Frank Uhlig Improved methods and starting values to
solve the matrix equations $X\pm
A^*X^{-1}A=I$ iteratively . . . . . . . 263--278
Dorota Dabrowska Recovering signals from inner products
involving prolate spheroidals in the
presence of jitter . . . . . . . . . . . 279--290
Emil Catinas The inexact, inexact perturbed, and
quasi-Newton methods are equivalent
models . . . . . . . . . . . . . . . . . 291--301
Chris Connell A solution to certain polynomial
equations with applications to nonlinear
fitting . . . . . . . . . . . . . . . . 303--319
Richard D. Neidinger Directions for computing truncated
multivariate Taylor series . . . . . . . 321--340
C. F. Bracciali and
Xin Li and
A. Sri Ranga Real orthogonal polynomials in frequency
analysis . . . . . . . . . . . . . . . . 341--362
Holger Then Maaß cusp forms for large eigenvalues . . 363--381
Georges Rhin and
Qiang Wu On the absolute Mahler measure of
polynomials having all zeros in a
sector. II . . . . . . . . . . . . . . . 383--388
Abdolali Basiri and
Andreas Enge and
Jean-Charles Faug\`ere and
Nicolas Gürel The arithmetic of Jacobian groups of
superelliptic cubics . . . . . . . . . . 389--410
J. Miret and
R. Moreno and
A. Rio and
M. Valls Determining the $2$-Sylow subgroup of an
elliptic curve over a finite field . . . 411--427
P. Gaudry and
É. Schost Modular equations for hyperelliptic
curves . . . . . . . . . . . . . . . . . 429--454
Amod Agashe and
William Stein and
B. Mazur with an Appendix by J. Cremona Visible evidence for the Birch and
Swinnerton-Dyer conjecture for modular
abelian varieties of analytic rank zero 455--484
Marston Conder and
Peter Dobcsányi Applications and adaptations of the low
index subgroups procedure . . . . . . . 485--497
Kenji Koike and
Annegret Weng Construction of CM Picard curves . . . . 499--518
Douglas Enright Book review: \em Mathematical and
computational methods for compressible
flow . . . . . . . . . . . . . . . . . . ??
Lothar Reichel Book review: \em Numerical methods . . . ??
Ricardo H. Nochetto and
Jae-Hong Pyo Error estimates for semi-discrete gauge
methods for the Navier--Stokes equations 521--542
Shangyou Zhang A new family of stable mixed finite
elements for the $3$D Stokes equations 543--554
Ivan P. Gavrilyuk and
Volodymyr L. Makarov Algorithms without accuracy saturation
for evolution equations in Hilbert and
Banach spaces . . . . . . . . . . . . . 555--583
Gerard Awanou and
Ming-Jun Lai Trivariate spline approximations of $3$D
Navier--Stokes equations . . . . . . . . 585--601
Hongkai Zhao A fast sweeping method for Eikonal
equations . . . . . . . . . . . . . . . 603--627
Z. Wang and
R. Wong Linear difference equations with
transition points . . . . . . . . . . . 629--653
Ken'ichiro Tanaka and
Masaaki Sugihara and
Kazuo Murota Numerical indefinite integration by
double exponential sinc method . . . . . 655--679
Ivan P. Gavrilyuk and
Wolfgang Hackbusch and
Boris N. Khoromskij Data-sparse approximation to a class of
operator-valued functions . . . . . . . 681--708
Xingping Sun Strictly positive definite functions on
the unit circle . . . . . . . . . . . . 709--721
S.-L. Qiu and
M. Vuorinen Some properties of the gamma and psi
functions, with applications . . . . . . 723--742
Francis J. Narcowich and
Joseph D. Ward and
Holger Wendland Sobolev bounds on functions with
scattered zeros, with applications to
radial basis function surface fitting 743--763
Christian Lubich On variational approximations in quantum
molecular dynamics . . . . . . . . . . . 765--779
Yao-Lin Jiang and
Richard M. M. Chen Computing periodic solutions of linear
differential-algebraic equations by
waveform relaxation . . . . . . . . . . 781--804
Muhammed I. Syam Conjugate gradient predictor corrector
method for solving large scale problems 805--818
Xinlong Zhou Subdivision schemes with nonnegative
masks . . . . . . . . . . . . . . . . . 819--839
Bahman Kalantari An infinite family of bounds on zeros of
analytic functions and relationship to
Smale's bound . . . . . . . . . . . . . 841--852
Yingquan Wu and
Christoforos N. Hadjicostis On solving composite power polynomial
equations . . . . . . . . . . . . . . . 853--868
Zhonggang Zeng Computing multiple roots of inexact
polynomials . . . . . . . . . . . . . . 869
Chris Hurlburt Computing isogeny covariant differential
modular forms . . . . . . . . . . . . . 905--926
Wilfrid Keller and
Jörg Richstein Solutions of the congruence $a^{p-1}
\equiv 1 \pmod {p^r}$ . . . . . . . . . 927--936
Christian Wittmann $p$-class groups of certain extensions
of degree $p$ . . . . . . . . . . . . . 937--947
Samir Siksek On standardized models of isogenous
elliptic curves . . . . . . . . . . . . 949--951
Hwanyup Jung and
Sunghan Bae and
Jaehyun Ahn Determinant formulas for class numbers
in function fields . . . . . . . . . . . 953--965
Jerzy Browkin Tame kernels of cubic cyclic fields . . 967--999
Richard P. Brent and
Samuli Larvala and
Paul Zimmermann A primitive trinomial of degree 6972593 1001--1002
Kevin G. Hare More on the total number of prime
factors of an odd perfect number . . . . 1003--1008
Zhenxiang Zhang Finding $C_3$-strong pseudoprimes . . . 1009--1024
Yong-Gao Chen Five consecutive positive odd numbers,
none of which can be expressed as a sum
of two prime powers . . . . . . . . . . 1025--1031
Ronald H. W. Hoppe Book review: \em Finite element methods
for Maxwell's equations . . . . . . . . ??
Raytcho Lazarov Book review: \em Higher-order finite
element methods . . . . . . . . . . . . ??
David Levin Book review: \em Practical extrapolation
methods: theory and applications . . . . ??
Karl Meerbergen Book review: \em The Lanczos method:
evolution and application . . . . . . . ??
Igor Shparlinski Book review: \em Report on global
methods for combinatorial isoperimetric
problems . . . . . . . . . . . . . . . . ??
Endre Suli Book review: \em Adaptive finite element
methods for differential equations . . . ??
Alf van der Poorten Book review: \em Automatic sequences.
Theory, applications, generalizations ??
Bruce P. Ayati and
Todd F. Dupont Convergence of a step-doubling Galerkin
method for parabolic problems . . . . . 1053--1065
Bernardo Cockburn and
Guido Kanschat and
Dominik Schötzau A locally conservative LDG method for
the incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 1067--1095
Hongsen Chen Pointwise error estimates of the local
discontinuous Galerkin method for a
second order elliptic problem . . . . . 1097--1116
A. Bergam and
C. Bernardi and
Z. Mghazli A posteriori analysis of the finite
element discretization of some parabolic
equations . . . . . . . . . . . . . . . 1117--1138
Steffen Börm and
Stefan A. Sauter BEM with linear complexity for the
classical boundary integral operators 1139--1177
Mario Bebendorf Efficient inversion of the Galerkin
matrix of general second-order elliptic
operators with nonsmooth coefficients 1179--1199
Yinnian He Optimal error estimate of the penalty
finite element method for the
time-dependent Navier--Stokes equations 1201--1216
Adam M. Oberman A convergent difference scheme for the
infinity Laplacian: construction of
absolutely minimizing Lipschitz
extensions . . . . . . . . . . . . . . . 1217--1230
Serge Kräutle A domain decomposition method using
efficient interface-acting
preconditioners . . . . . . . . . . . . 1231--1256
Qiang Du and
Lili Ju Approximations of a Ginzburg--Landau
model for superconducting hollow spheres
based on spherical centroidal Voronoi
tessellations . . . . . . . . . . . . . 1257--1280
M. T. Nair and
Shine Lal A finite dimensional realization of the
mollifier method for compact operator
equations . . . . . . . . . . . . . . . 1281--1290
Yves Achdou and
Bruno Franchi and
Nicoletta Tchou A partial differential equation
connected to option pricing with
stochastic volatility: Regularity
results and discretization . . . . . . . 1291--1322
Charles K. Chui and
Qingtang Jiang Balanced multi-wavelets in $\mathbb
{R^s}$ . . . . . . . . . . . . . . . . . 1323--1344
Bin Han and
Thomas P.-Y. Yu and
Yonggang Xue Noninterpolatory Hermite subdivision
schemes . . . . . . . . . . . . . . . . 1345--1367
Charles K. Chui and
Qingtang Jiang Refinable bivariate quartic
$C^2$-splines for multi-level data
representation and surface display . . . 1369--1390
Jianxin Zhou Instability analysis of saddle points by
a local minimax method . . . . . . . . . 1391--1411
William W. Hager and
Soonchul Park Global convergence of SSM for minimizing
a quadratic over a sphere . . . . . . . 1413--1423
Pedro Freitas Integrals of polylogarithmic functions,
recurrence relations, and associated
Euler sums . . . . . . . . . . . . . . . 1425--1440
Zhongxiao Jia The convergence of harmonic Ritz values,
harmonic Ritz vectors and refined
harmonic Ritz vectors . . . . . . . . . 1441--1456
Kok Seng Chua Real zeros of Dedekind zeta functions of
real quadratic fields . . . . . . . . . 1457--1470
Simon R. Blackburn and
Domingo Gomez-Perez and
Jaime Gutierrez and
Igor E. Shparlinski Predicting nonlinear pseudorandom number
generators . . . . . . . . . . . . . . . 1471--1494
Holger Brenner Computing the tight closure in dimension
two . . . . . . . . . . . . . . . . . . 1495--1518
Ki-ichiro Hashimoto and
Akinari Hoshi Families of cyclic polynomials obtained
from geometric generalization of
Gaussian period relations . . . . . . . 1519--1530
Denis Simon Solving quadratic equations using
reduced unimodular quadratic forms . . . 1531--1543
Ariel Pacetti and
Fernando Rodriguez Villegas Computing weight $2$ modular forms of
level $p^2$ . . . . . . . . . . . . . . 1545--1557
Joshua Knauer and
Jörg Richstein The continuing search for Wieferich
primes . . . . . . . . . . . . . . . . . 1559--1563
John L. Simons On the nonexistence of $2$-cycles for
the $3x+1$ problem . . . . . . . . . . . 1565--1572
Jerzy Browkin Erratum to ``Some new kinds of
pseudoprimes'' . . . . . . . . . . . . . 1573--1573
James H. Bramble and
Tzanio V. Kolev and
Joseph E. Pasciak The approximation of the Maxwell
eigenvalue problem using a least-squares
method . . . . . . . . . . . . . . . . . 1575--1598
W. Dörfler and
M. Ainsworth Reliable a posteriori error control for
nonconforming finite element
approximation of Stokes flow . . . . . . 1599--1619
Zhimin Zhang Superconvergence of spectral collocation
and $p$-version methods in one
dimensional problems . . . . . . . . . . 1621--1636
Erik Burman and
Alexandre Ern Stabilized Galerkin approximation of
convection-diffusion-reaction equations:
discrete maximum principle and
convergence . . . . . . . . . . . . . . 1637--1652
Bernardo Cockburn and
Jayadeep Gopalakrishnan Error analysis of variable degree mixed
methods for elliptic problems via
hybridization . . . . . . . . . . . . . 1653--1677
Ricardo G. Durán and
Ariel L. Lombardi Error estimates on anisotropic ${\cal
Q}_1$ elements for functions in weighted
Sobolev spaces . . . . . . . . . . . . . 1679--1706
Bjorn Engquist and
Yen-Hsi Tsai Heterogeneous multiscale methods for
stiff ordinary differential equations 1707--1742
C. Clavero and
J. L. Gracia and
E. O'Riordan A parameter robust numerical method for
a two dimensional reaction-diffusion
problem . . . . . . . . . . . . . . . . 1743--1758
P. A. Farrell and
E. O'Riordan and
G. I. Shishkin A class of singularly perturbed
semilinear differential equations with
interior layers . . . . . . . . . . . . 1759--1776
Chun-Hua Guo and
Peter Lancaster Algorithms for hyperbolic quadratic
eigenvalue problems . . . . . . . . . . 1777--1791
Bilal Chanane Computation of the eigenvalues of
Sturm--Liouville problems with parameter
dependent boundary conditions using the
regularized sampling method . . . . . . 1793--1801
Daniela Rosca Locally supported rational spline
wavelets on a sphere . . . . . . . . . . 1803--1829
O. Kounchev and
H. Render Polyharmonic splines on grids
$\mathbb{Z} \times a \mathbb{Z}^{n}$ and
their limits . . . . . . . . . . . . . . 1831--1841
C. Díaz-Mendoza and
P. González-Vera and
M. Jiménez-Paiz Strong Stieltjes distributions and
orthogonal Laurent polynomials with
applications to quadratures and Padé
approximation . . . . . . . . . . . . . 1843--1870
Rong-Xian Yue and
Fred J. Hickernell Strong tractability of integration using
scrambled Niederreiter points . . . . . 1871--1893
J. Dick and
F. Y. Kuo and
F. Pillichshammer and
I. H. Sloan Construction algorithms for polynomial
lattice rules for multivariate
integration . . . . . . . . . . . . . . 1895--1921
Christophe Doche Even moments of generalized
Rudin--Shapiro polynomials . . . . . . . 1923--1935
W. Luh and
J. Müller and
S. Ponnusamy and
P. Vasundhra Polynomial series expansions for
confluent and Gaussian hypergeometric
functions . . . . . . . . . . . . . . . 1937--1952
Michael Drmota and
Bernhard Gittenberger and
Thomas Klausner Extended admissible functions and
Gaussian limiting distributions . . . . 1953--1966
D. W. Farmer and
S. Lemurell Deformations of Maass forms . . . . . . 1967--1982
Mark Bauer and
Edlyn Teske and
Annegret Weng Point counting on Picard curves in large
characteristic . . . . . . . . . . . . . 1983--2005
Valérie Flammang and
Georges Rhin Algebraic integers whose conjugates all
lie in an ellipse . . . . . . . . . . . 2007--2015
Johannes Buchmann and
Arthur Schmidt Computing the structure of a finite
abelian group . . . . . . . . . . . . . 2017--2026
I. M. Isaacs and
Dikran B. Karagueuzian Involutions and characters of upper
triangular matrix groups . . . . . . . . 2027--2033
G. Harman On the greatest prime factor of $p-1$
with effective constants . . . . . . . . 2035--2041
Pedro Berrizbeitia Sharpening ``Primes is in P'' for a
large family of numbers . . . . . . . . 2043--2059
Graham Everest and
Helen King Prime powers in elliptic divisibility
sequences . . . . . . . . . . . . . . . 2061--2071
Igor Shparlinski and
Arne Winterhof A hidden number problem in small
subgroups . . . . . . . . . . . . . . . 2073--2080
Takao Komatsu An algorithm of infinite sums
representations and Tasoev continued
fractions . . . . . . . . . . . . . . . 2081--2094
Vivette Girault Book review: \em Numerical analysis for
fluids, Part 3. Finite element methods
for incompressible viscous flow . . . . 2095--2097
Anders Björn and
Hans Riesel Table errata to ``Factors of generalized
Fermat numbers'' . . . . . . . . . . . . 2099--2099
Bahman Kalantari Corrigendum to ``An infinite family of
bounds on zeros of analytic functions
and relationship to Smale's bound'' . . 2101--2101
Kent-Andre Mardal and
Ragnar Winther An observation on Korn's inequality for
nonconforming finite element methods . . 1--6
John W. Barrett and
Harald Garcke and
Robert Nürnberg Finite element approximation of a phase
field model for surface diffusion of
voids in a stressed solid . . . . . . . 7--41
Zhiming Chen and
Guanghua Ji Sharp $L^1$ a posteriori error analysis
for nonlinear convection-diffusion
problems . . . . . . . . . . . . . . . . 43--71
Susanna Gebauer and
Ralf Kornhuber and
Harry Yserentant Hierarchical decomposition of domains
with fractures . . . . . . . . . . . . . 73--90
Raimund Bürger and
Aníbal Coronel and
Mauricio Sepúlveda A semi-implicit monotone difference
scheme for an initial-boundary value
problem of a strongly degenerate
parabolic equation modeling
sedimentation-consolidation processes 91--112
Mario Ohlberger and
Julien Vovelle Error estimate for the approximation of
nonlinear conservation laws on bounded
domains by the finite volume method . . 113--150
Leping Sun Stability analysis for delay
differential equations with multidelays
and numerical examples . . . . . . . . . 151--165
Jialin Hong and
Hongyu Liu and
Geng Sun The multi-symplecticity of partitioned
Runge--Kutta methods for Hamiltonian
PDEs . . . . . . . . . . . . . . . . . . 167--181
Steven J. Ruuth Global optimization of explicit
strong-stability-preserving Runge--Kutta
methods . . . . . . . . . . . . . . . . 183--207
Blaise Faugeras and
Jérôme Pousin and
Franck Fontvieille An efficient numerical scheme for
precise time integration of a
diffusion-dissolution/precipitation
chemical system . . . . . . . . . . . . 209--222
James Demmel and
Plamen Koev Accurate and efficient evaluation of
Schur and Jack functions . . . . . . . . 223--239
Gensun Fang and
Xuehua Li Comparison theorems of Kolmogorov type
and exact values of $n$-widths on
Hardy--Sobolev classes . . . . . . . . . 241--258
Maurice Hasson Wavelet-based filters for accurate
computation of derivatives . . . . . . . 259--280
C. Díaz-Mendoza and
P. González-Vera and
M. Jiménez Paiz and
F. Cala Rodríguez Orthogonal Laurent polynomials
corresponding to certain strong
Stieltjes distributions with
applications to numerical quadratures 281--305
Joris Van Deun and
Adhemar Bultheel and
Pablo González Vera On computing rational Gauss--Chebyshev
quadrature formulas . . . . . . . . . . 307--326
Avram Sidi Extension of a class of periodizing
variable transformations for numerical
Integration . . . . . . . . . . . . . . 327--343
V. Y. Pan and
M. Kunin and
R. E. Rosholt and
H. Kodal Homotopic residual correction processes 345--368
James A. Muir and
Douglas R. Stinson Minimality and other properties of the
width-$w$ nonadjacent form . . . . . . . 369--384
Julián Aguirre and
Mikel Bilbao and
Juan Carlos Peral The trace of totally positive algebraic
integers . . . . . . . . . . . . . . . . 385--393
Alfred G. Noël Some remarks on Richardson orbits in
complex symmetric spaces . . . . . . . . 395--417
Joshua Holden and
Pieter Moree Some heuristics and results for small
cycles of the discrete logarithm . . . . 419--449
Zhenxiang Zhang Notes on some new kinds of pseudoprimes 451--460
Jeffrey B. Farr and
Shuhong Gao Gröbner bases and generalized Padé
approximation . . . . . . . . . . . . . 461--473
Peter Borwein and
Stephen Choi and
Frank Chu An old conjecture of Erdos--Turán on
additive bases . . . . . . . . . . . . . 475--484
Jean Cougnard Normal integral bases for $A_4$
extensions of the rationals . . . . . . 485--496
Andrew Granville and
Peter Pleasants Aurifeuillian factorization . . . . . . 497--508
Ernst Hairer and
Gerhard Wanner Book review: \em Simulating Hamiltonian
Dynamics . . . . . . . . . . . . . . . . 509--510
Georgios Akrivis and
Charalambos Makridakis and
Ricardo H. Nochetto A posteriori error estimates for the
Crank--Nicolson method for parabolic
equations . . . . . . . . . . . . . . . 511--531
Jesús Carrero and
Bernardo Cockburn and
Dominik Schötzau Hybridized globally divergence-free LDG
methods. Part I: The Stokes problem . . 533--563
Jérémie Szeftel A nonlinear approach to absorbing
boundary conditions for the semilinear
wave equation . . . . . . . . . . . . . 565--594
John Goodrich and
Thomas Hagstrom and
Jens Lorenz Hermite methods for hyperbolic
initial-boundary value problems . . . . 595--630
Eskil Hansen Runge--Kutta time discretizations of
nonlinear dissipative evolution
equations . . . . . . . . . . . . . . . 631--640
Laurent O. Jay Specialized Runge--Kutta methods for
index $2$ differential-algebraic
equations . . . . . . . . . . . . . . . 641--654
Willem Hundsdorfer and
Steven J. Ruuth On monotonicity and boundedness
properties of linear multistep methods 655--672
Eduardo Cuesta and
Christian Lubich and
Cesar Palencia Convolution quadrature time
discretization of fractional
diffusion-wave equations . . . . . . . . 673--696
Tsogtgerel Gantumur and
Rob Stevenson Computation of differential operators in
wavelet coordinates . . . . . . . . . . 697--709
Larry L. Schumaker and
Tatyana Sorokina Smooth macro-elements on
Powell--Sabin-12 splits . . . . . . . . 711--726
Annie Cuyt and
Jieqing Tan and
Ping Zhou General order multivariate Padé
approximants for pseudo-multivariate
functions . . . . . . . . . . . . . . . 727--741
H. S. Jung Hermite and Hermite--Fejér interpolation
for Stieltjes polynomials . . . . . . . 743--766
Jared Tanner Optimal filter and mollifier for
piecewise smooth spectral data . . . . . 767--790
Zhong-Zhi Bai Structured preconditioners for
nonsingular matrices of block two-by-two
structures . . . . . . . . . . . . . . . 791--815
A. Melman Computation of the Newton step for the
even and odd characteristic polynomials
of a symmetric positive definite
Toeplitz matrix . . . . . . . . . . . . 817--832
Plamen Koev and
Alan Edelman The efficient evaluation of the
hypergeometric function of a matrix
argument . . . . . . . . . . . . . . . . 833--846
Rekha P. Kulkarni A new superconvergent collocation method
for eigenvalue problems . . . . . . . . 847--857
Kai-Tai Fang and
Dietmar Maringer and
Yu Tang and
Peter Winker Lower bounds and stochastic optimization
algorithms for uniform designs with
three or four levels . . . . . . . . . . 859--878
Tapani Matala-aho and
Keijo Väänänen and
Wadim Zudilin New irrationality measures for
$q$-logarithms . . . . . . . . . . . . . 879--889
Kevin A. Broughan and
A. Ross Barnett Linear law for the logarithms of the
Riemann periods at simple critical zeta
zeros . . . . . . . . . . . . . . . . . 891--902
Dirk Nuyens and
Ronald Cools Fast algorithms for
component-by-component construction of
rank-$1$ lattice rules in
shift-invariant reproducing kernel
Hilbert spaces . . . . . . . . . . . . . 903--920
Grégoire Lecerf Sharp precision in Hensel lifting for
bivariate polynomial factorization . . . 921--933
Andreas-Stephan Elsenhans and
Jörg Jahnel The Diophantine equation $x^4 + 2 y^4 =
z^4 + 4 w^4$ . . . . . . . . . . . . . . 935--940
André Weilert Two efficient algorithms for the
computation of ideal sums in quadratic
orders . . . . . . . . . . . . . . . . . 941--981
Scott Contini and
Ernie Croot and
Igor E. Shparlinski Complexity of inverting the Euler
function . . . . . . . . . . . . . . . . 983--996
Geon-No Lee and
Soun-Hi Kwon CM-fields with relative class number one 997--1013
Koji Suzuki Approximating the number of integers
without large prime factors . . . . . . 1015--1024
I. P. Gavrilyuk Book review: \em Collocation methods for
Volterra integral and related functional
equations . . . . . . . . . . . . . . . ??
Jean Michel Book review: \em Handbook of
computational group theory . . . . . . . ??
Raf Vanderbril Book review: \em Inverse eigenvalue
problems: Theory, algorithms, and
applications . . . . . . . . . . . . . . ??
Carsten Carstensen and
R. H. W. Hoppe Error reduction and convergence for an
adaptive mixed finite element method . . 1033--1042
Pingbing Ming and
Zhong-ci Shi Analysis of some low order quadrilateral
Reissner--Mindlin plate elements . . . . 1043--1065
Johnny Guzmán Pointwise error estimates for
discontinuous Galerkin methods with
lifting operators for elliptic problems 1067--1085
Thomas P. Wihler Locking-free adaptive discontinuous
Galerkin FEM for linear elasticity
problems . . . . . . . . . . . . . . . . 1087--1102
Manuel Castro and
José M. Gallardo and
Carlos Parés High order finite volume schemes based
on reconstruction of states for solving
hyperbolic systems with nonconservative
products. Applications to shallow-water
systems . . . . . . . . . . . . . . . . 1103--1134
E. O'Riordan and
M. L. Pickett and
G. I. Shishkin Parameter-uniform finite difference
schemes for singularly perturbed
parabolic diffusion-convection-reaction
problems . . . . . . . . . . . . . . . . 1135--1154
Johan Lie and
Marius Lysaker and
Xue-Cheng Tai A variant of the level set method and
applications to image segmentation . . . 1155--1174
Ismet Özdemir and
Ö. Faruk Temizer The boundaries of the solutions of the
linear Volterra integral equations with
convolution kernel . . . . . . . . . . . 1175--1199
M. Z. Liu and
Z. W. Yang and
Y. Xu The stability of modified Runge--Kutta
methods for the pantograph equation . . 1201--1215
Sotirios E. Notaris Integral formulas for Chebyshev
polynomials and the error term of
interpolatory quadrature formulae for
analytic functions . . . . . . . . . . . 1217--1231
Arieh Iserles and
Syvert P. Nòrsett Quadrature methods for multivariate
highly oscillatory integrals using
derivatives . . . . . . . . . . . . . . 1233--1258
Michael Griebel and
Henryk Wozniakowski On the optimal convergence rate of
universal and nonuniversal algorithms
for multivariate integration and
approximation . . . . . . . . . . . . . 1259--1286
Bin Han and
Rong-Qing Jia Optimal $C^2$ two-dimensional
interpolatory ternary subdivision
schemes with two-ring stencils . . . . . 1287--1308
B. C. Carlson Table of integrals of squared Jacobian
elliptic functions and reductions of
related hypergeometric $R$-functions . . 1309--1318
Angela Kunoth and
Jan Sahner Wavelets on manifolds: An optimized
construction . . . . . . . . . . . . . . 1319--1349
Delin Chu and
Moody Chu Low rank update of singular values . . . 1351--1366
Lyonell Boulton Limiting set of second order spectra . . 1367--1382
S. Tanabé and
M. N. Vrahatis On perturbation of roots of homogeneous
algebraic systems . . . . . . . . . . . 1383--1402
Izaskun Garrido and
Barry Lee and
Gunnar E. Fladmark and
Magne S. Espedal Convergent iterative schemes for time
parallelization . . . . . . . . . . . . 1403--1428
William La Cruz and
José Mario Martínez and
Marcos Raydan Spectral residual method without
gradient information for solving
large-scale nonlinear systems of
equations . . . . . . . . . . . . . . . 1429--1448
Alexander Barvinok Computing the Ehrhart quasi-polynomial
of a rational simplex . . . . . . . . . 1449--1466
J. N. Lyness and
Tor Sòrevik Five-dimensional $K$-optimal lattice
rules . . . . . . . . . . . . . . . . . 1467--1480
Andrew R. Booker Quadratic class numbers and character
sums . . . . . . . . . . . . . . . . . . 1481--1492
Konstantinos A. Draziotis Integer points on the curve $Y^2 = X^3
\pm p^k X$ . . . . . . . . . . . . . . . 1493--1505
Claus Fieker and
Michael E. Pohst Dependency of units in number fields . . 1507--1518
Lesseni Sylla The nonexistence of nonsolvable octic
number fields ramified only at one small
prime . . . . . . . . . . . . . . . . . 1519--1526
Valérie Flammang and
Georges Rhin and
Jean-Marc Sac-Épée Integer transfinite diameter and
polynomials with small Mahler measure 1527--1540
Daniel Berend and
Shahar Golan Littlewood polynomials with high order
zeros . . . . . . . . . . . . . . . . . 1541--1552
H. G. Grundman and
L. E. Lippincott Computing the arithmetic genus of
Hilbert modular fourfolds . . . . . . . 1553--1560
Martine Girard The group of Weierstrass points of a
plane quartic with at least eight
hyperflexes . . . . . . . . . . . . . . 1561--1583
Konstantinos Draziotis and
Dimitrios Poulakis Practical solution of the Diophantine
equation $y^2 = x(x + 2^a p^b)(x - 2^a
p^b)$ . . . . . . . . . . . . . . . . . 1585--1593
Barry Lee Book review: \em Finite elements and
fast iterative solvers: with
applications in incompressible fluid
dynamics . . . . . . . . . . . . . . . . ??
Harald Niederreiter Book review: \em Probability and
computing: randomized algorithms and
probabilistic analysis . . . . . . . . . ??
Carsten Carstensen and
W. Liu and
N. Yan A posteriori FE error control for
$p$-Laplacian by gradient recovery in
quasi-norm . . . . . . . . . . . . . . . 1599--1616
Jicheng Jin and
Shi Shu and
Jinchao Xu A two-grid discretization method for
decoupling systems of partial
differential equations . . . . . . . . . 1617--1626
Omar Lakkis and
Charalambos Makridakis Elliptic reconstruction and a posteriori
error estimates for fully discrete
linear parabolic problems . . . . . . . 1627--1658
Carlo Lovadina and
Rolf Stenberg Energy norm a posteriori error estimates
for mixed finite element methods . . . . 1659--1674
Gabriel N. Gatica and
Francisco-Javier Sayas An a priori error analysis for the
coupling of local discontinuous Galerkin
and boundary element methods . . . . . . 1675--1696
Jayadeep Gopalakrishnan and
Joseph E. Pasciak The convergence of V-cycle multigrid
algorithms for axisymmetric Laplace and
Maxwell equations . . . . . . . . . . . 1697--1719
Volker Elling A possible counterexample to well
posedness of entropy solutions and to
Godunov scheme convergence . . . . . . . 1721--1733
Bojan Popov and
Ognian Trifonov Order of convergence of second order
schemes based on the minmod limiter . . 1735--1753
Jianfeng Zhang Rate of convergence of finite difference
approximations for degenerate ordinary
differential equations . . . . . . . . . 1755--1778
Robert Sinclair and
Minoru Tanaka Jacobi's last geometric statement
extends to a wider class of Liouville
surfaces . . . . . . . . . . . . . . . . 1779--1808
Christophe Berthon Numerical approximations of the
10-moment Gaussian closure . . . . . . . 1809--1831
Clément Mouhot and
Lorenzo Pareschi Fast algorithms for computing the
Boltzmann collision operator . . . . . . 1833--1852
Shuai Lu and
Sergei V. Pereverzev Numerical differentiation from a
viewpoint of regularization theory . . . 1853--1870
Helmut Harbrecht and
Rob Stevenson Wavelets with patchwise cancellation
properties . . . . . . . . . . . . . . . 1871--1889
Dirk Laurie and
Johan de Villiers Orthogonal polynomials for refinable
linear functionals . . . . . . . . . . . 1891--1903
Yi Jin On efficient computation and asymptotic
sharpness of Kalantari's bounds for
zeros of polynomials . . . . . . . . . . 1905--1912
Peter Mathé and
Sergei V. Pereverzev Regularization of some linear ill-posed
problems with discretized random noisy
data . . . . . . . . . . . . . . . . . . 1913--1929
Dorin Ervin Dutkay and
Palle E. T. Jorgensen Iterated function systems, Ruelle
operators, and invariant projective
measures . . . . . . . . . . . . . . . . 1931--1970
Tatjana Eisner and
Hans Zwart Continuous-time Kreiss resolvent
condition on infinite-dimensional spaces 1971--1985
Ren-Cang Li Lower bounds for the condition number of
a real confluent Vandermonde matrix . . 1987--1995
K. G. Hare and
C. J. Smyth The monic integer transfinite diameter 1997--2019
S. Gurak On the minimal polynomial of Gauss
periods for prime powers . . . . . . . . 2021--2035
Thorsten Kleinjung On polynomial selection for the general
number field sieve . . . . . . . . . . . 2037--2047
Antonio Cafure and
Guillermo Matera Fast computation of a rational point of
a variety over a finite field . . . . . 2049--2085
Wang Ming and
Jinchao Xu Nonconforming tetrahedral finite
elements for fourth order elliptic
equations . . . . . . . . . . . . . . . 1--18
Alan Demlow Local a posteriori estimates for
pointwise gradient errors in finite
element methods for elliptic problems 19--42
Kwang Y. Kim A posteriori error analysis for locally
conservative mixed methods . . . . . . . 43--66
Fatih Celiker and
Bernardo Cockburn Superconvergence of the numerical traces
of discontinuous Galerkin and Hybridized
methods for convection-diffusion
problems in one space dimension . . . . 67--96
JaEun Ku A least-squares method for second order
noncoercive elliptic partial
differential equations . . . . . . . . . 97--114
Yinnian He and
Weiwei Sun Stabilized finite element method based
on the Crank--Nicolson extrapolation
scheme for the time-dependent
Navier--Stokes equations . . . . . . . . 115--136
Huo-Yuan Duan and
Shao-Qin Gao and
Roger C. E. Tan and
Shangyou Zhang A generalized BPX multigrid framework
covering nonnested V-cycle methods . . . 137--152
Pingbing Ming and
Pingwen Zhang Analysis of the heterogeneous multiscale
method for parabolic homogenization
problems . . . . . . . . . . . . . . . . 153--177
Long Chen and
Pengtao Sun and
Jinchao Xu Optimal anisotropic meshes for
minimizing interpolation errors in
$L^p$-norm . . . . . . . . . . . . . . . 179--204
C. González and
M. Thalhammer A second-order Magnus-type integrator
for quasi-linear parabolic problems . . 205--231
Bishnu P. Lamichhane and
Barbara I. Wohlmuth Biorthogonal bases with local support
and approximation properties . . . . . . 233--249
Volker Elling A Lax--Wendroff type theorem for
unstructured quasi-uniform grids . . . . 251--272
Mihály Kovács On the convergence of rational
approximations of semigroups on
intermediate spaces . . . . . . . . . . 273--286
Zhong-Zhi Bai and
Gene H. Golub and
Chi-Kwong Li Convergence properties of preconditioned
Hermitian and skew-Hermitian splitting
methods for non-Hermitian positive
semidefinite matrices . . . . . . . . . 287--298
R. Caira and
F. Dell'Accio Shepard--Bernoulli operators . . . . . . 299--321
Ramunas Garunkstis and
Jörn Steuding On the distribution of zeros of the
Hurwitz zeta-function . . . . . . . . . 323--337
Nathanial P. Brown Quasi-diagonality and the finite section
method . . . . . . . . . . . . . . . . . 339--360
Helen Avelin Deformation of $\Gamma_0(5)$-cusp forms 361--384
Daniel J. Bernstein and
Hendrik W. Lenstra Jr. and
Jonathan Pila Detecting perfect powers by factoring
into coprimes . . . . . . . . . . . . . 385--388
Daniel J. Bernstein Proving primality in essentially quartic
random time . . . . . . . . . . . . . . 389--403
Bernd C. Kellner On irregular prime power divisors of the
Bernoulli numbers . . . . . . . . . . . 405--441
Daniel J. Bernstein and
Jonathan P. Sorenson Modular exponentiation via the explicit
Chinese remainder theorem . . . . . . . 443--454
Stéphane R. Louboutin Efficient computation of root numbers
and class numbers of parametrized
families of real abelian number fields 455--473
P. Gaudry and
E. Thomé and
N. Thériault and
C. Diem A double large prime variation for small
genus hyperelliptic index calculus . . . 475--492
F. Morain Implementing the asymptotically fast
version of the elliptic curve primality
proving algorithm . . . . . . . . . . . 493--505
Andrew D. Loveless A compositeness test that never fails
for Carmichael numbers . . . . . . . . . 507--507
Daniel Arroyo and
Alexei Bespalov and
Norbert Heuer On the finite element method for
elliptic problems with degenerate and
singular coefficients . . . . . . . . . 509--537
Xiaobing Feng and
Yinnian He and
Chun Liu Analysis of finite element
approximations of a phase field model
for two-phase fluids . . . . . . . . . . 539--571
Susanne C. Brenner and
Fengyan Li and
Li-yeng Sung A locally divergence-free nonconforming
finite element method for the
time-harmonic Maxwell equations . . . . 573--595
James H. Bramble and
Joseph E. Pasciak Analysis of a finite PML approximation
for the three dimensional time-harmonic
Maxwell and acoustic scattering problems 597--614
Tsogtgerel Gantumur and
Helmut Harbrecht and
Rob Stevenson An optimal adaptive wavelet method
without coarsening of the iterands . . . 615--629
Natalia Kopteva Maximum norm error analysis of a 2d
singularly perturbed semilinear
reaction-diffusion problem . . . . . . . 631--646
Todd F. Dupont and
Yingjie Liu Back and forth error compensation and
correction methods for semi-Lagrangian
schemes with application to level set
interface computations . . . . . . . . . 647--668
N. V. Krylov A priori estimates of smoothness of
solutions to difference Bellman
equations with linear and quasi-linear
operators . . . . . . . . . . . . . . . 669--698
H. Holden and
K. H. Karlsen and
N. H. Risebro Convergent difference schemes for the
Hunter--Saxton equation . . . . . . . . 699--744
A. G. Werschulz and
H. Wozniakowski Tractability of quasilinear problems II:
Second-order elliptic problems . . . . . 745--776
T. Sengadir Discretisation of an infinite delay
equation . . . . . . . . . . . . . . . . 777--793
Sun-Mi Kim and
Lothar Reichel Anti-Szeg\Ho quadrature rules . . . . . 795--810
Robert S. Maier The 192 solutions of the Heun equation 811--843
Knut Mòrken and
Martin Reimers An unconditionally convergent method for
computing zeros of splines and
polynomials . . . . . . . . . . . . . . 845--865
Michael S. Floater and
Tom Lyche Two chain rules for divided differences
and Fa\`a di Bruno's formula . . . . . . 867--877
Alfredo Deaño and
Javier Segura Transitory minimal solutions of
hypergeometric recursions and
pseudoconvergence of associated
continued fractions . . . . . . . . . . 879--901
Kai Bittner and
Karsten Urban On interpolatory divergence-free
wavelets . . . . . . . . . . . . . . . . 903--929
Kirill A. Kopotun Univariate splines: Equivalence of
moduli of smoothness and applications 931--945
Felipe Cucker and
Huaian Diao and
Yimin Wei On mixed and componentwise condition
numbers for Moore--Penrose inverse and
linear least squares problems . . . . . 947--963
G. W. Wasilkowski and
H. Wozniakowski The power of standard information for
multivariate approximation in the
randomized setting . . . . . . . . . . . 965--988
Vasile Sinescu and
Stephen Joe Good lattice rules based on the general
weighted star discrepancy . . . . . . . 989--1004
James S. Kraft and
Lawrence C. Washington Heuristics for class numbers and lambda
invariants . . . . . . . . . . . . . . . 1005--1023
Georges Rhin and
Qiang Wu On the smallest value of the maximal
modulus of an algebraic integer . . . . 1025--1038
Lassina Dembélé Quaternionic Manin symbols, Brandt
matrices, and Hilbert modular forms . . 1039--1057
Hiroki Sumida-Takahashi Computation of the $p$-part of the ideal
class group of certain real abelian
fields . . . . . . . . . . . . . . . . . 1059--1071
Gabriela Olteanu Computing the Wedderburn decomposition
of group algebras by the Brauer--Witt
theorem . . . . . . . . . . . . . . . . 1073--1087
Justin W. L. Wan Book review: \em Practical Fourier
analysis for multigrid methods . . . . . 1089--1091
Xiaobing Feng and
Ohannes A. Karakashian Fully discrete dynamic mesh
discontinuous Galerkin methods for the
Cahn--Hilliard equation of phase
transition . . . . . . . . . . . . . . . 1093--1117
Erik Burman and
Alexandre Ern Continuous interior penalty $hp$-finite
element methods for advection and
advection-diffusion equations . . . . . 1119--1140
Michael Griebel and
Karl Scherer and
Marc Alexander Schweitzer Robust norm equivalencies for diffusion
problems . . . . . . . . . . . . . . . . 1141--1161
Christophe Berthon and
Frédéric Coquel Nonlinear projection methods for
multi-entropies Navier--Stokes systems 1163--1194
M. Amara and
D. Capatina-Papaghiuc and
D. Trujillo Stabilized finite element method for
Navier--Stokes equations with physical
boundary conditions . . . . . . . . . . 1195--1217
Adimurthi and
Siddhartha Mishra and
G. D. Veerappa Gowda Convergence of Godunov type methods for
a conservation law with a spatially
varying discontinuous flux function . . 1219--1242
Wolfgang Dahmen and
Helmut Harbrecht and
Reinhold Schneider Adaptive methods for boundary integral
equations: Complexity and convergence
estimates . . . . . . . . . . . . . . . 1243--1274
M. S. Min and
S. M. Kaber and
W. S. Don Fourier--Padé approximations and
filtering for spectral simulations of an
incompressible Boussinesq convection
problem . . . . . . . . . . . . . . . . 1275--1290
Boris N. Khoromskij Structured data-sparse approximation to
high order tensors arising from the
deterministic Boltzmann equation . . . . 1291--1315
V. Didenko and
E. Venturino Approximation methods for the
Muskhelishvili equation on smooth curves 1317--1339
J. A. C. Weideman and
L. N. Trefethen Parabolic and hyperbolic contours for
computing the Bromwich integral . . . . 1341--1356
Aicke Hinrichs and
Erich Novak Cubature formulas for symmetric measures
in higher dimensions with few points . . 1357--1372
Zbynek Sír and
Bert Jüttler ${C}^2$ Hermite interpolation by
Pythagorean Hodograph space curves . . . 1373--1391
C. Beltrán and
L. M. Pardo On the probability distribution of
condition numbers of complete
intersection varieties and the average
radius of convergence of Newton's method
in the underdetermined case . . . . . . 1393--1424
Habib Ammari and
Roland Griesmaier and
Martin Hanke Identification of small inhomogeneities:
Asymptotic factorization . . . . . . . . 1425--1448
Amparo Gil and
Javier Segura and
Nico M. Temme Numerically satisfactory solutions of
hypergeometric recursions . . . . . . . 1449--1468
Richard Brent and
Colin Percival and
Paul Zimmermann Error bounds on complex floating-point
multiplication . . . . . . . . . . . . . 1469--1481
Miodrag M. Spalevic On generalized averaged Gaussian
formulas . . . . . . . . . . . . . . . . 1483--1492
Arthur Baragar and
Ronald van Luijk K3 surfaces with Picard number three and
canonical vector heights . . . . . . . . 1493--1498
Thomas Ransford and
Jérémie Rostand Computation of capacity . . . . . . . . 1499--1520
Jim Hoste and
Patrick D. Shanahan Computing boundary slopes of $2$-bridge
links . . . . . . . . . . . . . . . . . 1521--1545
Jean-Paul Cerri Euclidean minima of totally real number
fields: Algorithmic determination . . . 1547--1575
Yusuke Chishiki and
Takeshi Goto and
Yasuo Ohno On the largest prime divisor of an odd
harmonic number . . . . . . . . . . . . 1577--1587
John Voight Quadratic forms that represent almost
the same primes . . . . . . . . . . . . 1589--1617
Neil Calkin and
Jimena Davis and
Kevin James and
Elizabeth Perez and
Charles Swannack Computing the integer partition function 1619--1638
Jean-Paul Allouche and
Christiane Frougny and
Kevin G. Hare On univoque Pisot numbers . . . . . . . 1639--1660
Vahid Dabbaghian-Abdoly Constructing representations of higher
degrees of finite simple groups and
covers . . . . . . . . . . . . . . . . . 1661--1668
Björn Assmann and
Bettina Eick Testing polycyclicity of finitely
generated rational matrix groups . . . . 1669--1682
Michael Beck and
Eric Pine and
Wayne Tarrant and
Kim Yarbrough Jensen New integer representations as the sum
of three cubes . . . . . . . . . . . . . 1683--1690
Ron Fedkiw Book review: \em The immersed interface
method. Numerical solutions of PDEs
involving interfaces and irregular
domains . . . . . . . . . . . . . . . . 1691--1691
Lung-an Ying Book review: \em Partial differential
equations and the finite element method 1693--1694
Ivan P. Gavrilyuk Book review: \em Variational analysis in
Sobolev and BV spaces . . . . . . . . . 1695--1696
Igor Shparlinski Book review: \em A computational
introduction to number theory and
algebra . . . . . . . . . . . . . . . . 1697--1698
Douglas N. Arnold and
Richard S. Falk and
Ragnar Winther Mixed finite element methods for linear
elasticity with weakly imposed symmetry 1699--1723
Alan Demlow Sharply localized pointwise and
$W_\infty^{-1}$ estimates for finite
element methods for quasilinear problems 1725--1741
Annalisa Buffa and
Snorre H. Christiansen A dual finite element complex on the
barycentric refinement . . . . . . . . . 1743--1769
Jun Hu and
Zhong-Ci Shi Two lower order nonconforming
rectangular elements for the
Reissner--Mindlin plate . . . . . . . . 1771--1786
Aaron Solo Sharp estimates for finite element
approximations to elliptic problems with
Neumann boundary data of low regularity 1787--1800
S. Pernet and
X. Ferrieres HP a-priori error estimates for a
non-dissipative spectral discontinuous
Galerkin method to solve the Maxwell
equations in the time domain . . . . . . 1801--1832
Tomás Vejchodsky and
Pavel Solín Discrete maximum principle for
higher-order finite elements in $1$D . . 1833--1846
Sören Bartels and
Andreas Prohl Constraint preserving implicit finite
element discretization of harmonic map
flow into spheres . . . . . . . . . . . 1847--1859
Guy Barles and
Espen R. Jakobsen Error bounds for monotone approximation
schemes for parabolic
Hamilton--Jacobi--Bellman equations . . 1861--1893
Ivan P. Gavrilyuk and
Volodymyr L. Makarov An exponentially convergent algorithm
for nonlinear differential equations in
Banach spaces . . . . . . . . . . . . . 1895--1923
Björn Sjögreen and
Katarina Gustavsson and
Reynir Levi Gudmundsson A model for peak formation in the
two-phase equations . . . . . . . . . . 1925--1940
Philippe Chartier and
Ernst Hairer and
Gilles Vilmart Numerical integrators based on modified
differential equations . . . . . . . . . 1941--1953
Daan Huybrechs and
Stefan Vandewalle The construction of cubature rules for
multivariate highly oscillatory
integrals . . . . . . . . . . . . . . . 1955--1980
Gasper Jaklic and
Jernej Kozak and
Marjeta Krajnc and
Emil Zagar On geometric interpolation by planar
parametric polynomial curves . . . . . . 1981--1993
Yves Tourigny and
Nigel P. Smart A multidimensional continued fraction
based on a high-order recurrence
relation . . . . . . . . . . . . . . . . 1995--2022
Dante Manna and
Victor H. Moll Rational Landen transformations on
$\mathbb{R}$ . . . . . . . . . . . . . . 2023--2043
Eugenio P. Balanzario and
Jorge Sánchez-Ortiz Zeros of the Davenport--Heilbronn
counterexample . . . . . . . . . . . . . 2045--2049
Jeffrey Stopple Computing $L$-functions with large
conductor . . . . . . . . . . . . . . . 2051--2062
Ariel Pacetti On the embedding problem for $2^+S_4$
representations . . . . . . . . . . . . 2063--2075
Josef Dick The construction of extensible
polynomial lattice rules with small
weighted star discrepancy . . . . . . . 2077--2085
Richard J. McIntosh and
Eric L. Roettger A search for Fibonacci--Wieferich and
Wolstenholme primes . . . . . . . . . . 2087--2094
Zhenxiang Zhang Two kinds of strong pseudoprimes up to
$10^{36}$ . . . . . . . . . . . . . . . 2095--2107
Pace P. Nielsen Odd perfect numbers have at least nine
distinct prime factors . . . . . . . . . 2109--2126
David Brink Prime decomposition in the
anti-cyclotomic extension . . . . . . . 2127--2138
R. de Haan and
M. J. Jacobson Jr. and
H. C. Williams A fast, rigorous technique for computing
the regulator of a real quadratic field 2139--2160
Reinier Bröker and
Peter Stevenhagen Efficient CM-constructions of elliptic
curves over finite fields . . . . . . . 2161--2179
M'Hammed El Kahoui and
Said Rakrak Structure of Gröbner bases with respect
to block orders . . . . . . . . . . . . 2181--2187
Komei Fukuda and
Anders N. Jensen and
Rekha R. Thomas Computing Gröbner fans . . . . . . . . . 2189--2212
Kamal Khuri-Makdisi Asymptotically fast group operations on
Jacobians of general curves . . . . . . 2213--2239
Kevin G. Hare New techniques for bounds on the total
number of prime factors of an odd
perfect number . . . . . . . . . . . . . 2241--2248
Kevin A. Broughan and
A. Ross Barnett Corrigendum to ``The holomorphic flow of
the Riemann zeta function'' . . . . . . 2249--2250
Huo-Yuan Duan and
Shao-Qin Gao and
Roger C. E. Tan and
Shangyou Zhang Errata to ``A generalized BPX multigrid
framework covering nonnested $V$-cycle
methods'' . . . . . . . . . . . . . . . 2251--2251
Beatrice Riviere Book review: \em Computational methods
for multiphase flows in porous media . . 2253--2255
Jackie (Jianhong) Shen Book review: \em Deblurring images:
Matrices, spectra, and filtering . . . . 2256--2258
James H. Bramble and
Joseph E. Pasciak Analysis of a finite element PML
approximation for the three dimensional
time-harmonic Maxwell problem . . . . . 1--10
Vidar Thomée and
Lars B. Wahlbin On the existence of maximum principles
in parabolic finite element equations 11--19
Dmitriy Leykekhman Uniform error estimates in the finite
element method for a singularly
perturbed reaction-diffusion problem . . 21--39
Giancarlo Sangalli Robust a-posteriori estimator for
advection-diffusion-reaction problems 41--70
Christoph Schwab and
Rob Stevenson Adaptive wavelet algorithms for elliptic
PDE's on product domains . . . . . . . . 71--92
Nicolas Besse and
Michel Mehrenberger Convergence of classes of high-order
semi-Lagrangian schemes for the
Vlasov--Poisson system . . . . . . . . . 93--123
François Delarue and
Stéphane Menozzi An interpolated stochastic algorithm for
quasi-linear PDEs . . . . . . . . . . . 125--158
Simon Malham and
Jitse Niesen Evaluating the Evans function: Order
reduction in numerical methods . . . . . 159--179
Ben-Yu Guo and
Zhong-Qing Wang and
Hong-Jiong Tian and
Li-Lian Wang Integration processes of ordinary
differential equations based on
Laguerre--Radau interpolations . . . . . 181--199
Emmanuil H. Georgoulis Inverse-type estimates on $hp$-finite
element spaces and applications . . . . 201--219
Peter Oswald A counterexample concerning the
$L_2$-projector onto linear spline
spaces . . . . . . . . . . . . . . . . . 221--226
Rob Stevenson The completion of locally refined
simplicial partitions created by
bisection . . . . . . . . . . . . . . . 227--241
Carlos Zuppa Modified Taylor reproducing formulas and
\em h-p clouds . . . . . . . . . . . . . 243--264
Weiming Cao An interpolation error estimate in
$\mathcal{R}^2$ based on the anisotropic
measures of higher order derivatives . . 265--286
Rong-Qing Jia and
Song-Tao Liu ${C}^1$ spline wavelets on
triangulations . . . . . . . . . . . . . 287--312
Lyonell Boulton and
Peter Lancaster and
Panayiotis Psarrakos On pseudospectra of matrix polynomials
and their boundaries . . . . . . . . . . 313--334
Ren-Cang Li On Meinardus' examples for the conjugate
gradient method . . . . . . . . . . . . 335--352
D. A. Bini and
Y. Eidelman and
L. Gemignani and
I. Gohberg The unitary completion and QR iterations
for a class of structured matrices . . . 353--378
Goetz Alefeld and
Xiaojun Chen A regularized projection method for
complementarity problems with
non-Lipschitzian functions . . . . . . . 379--395
Jens Keiner and
Daniel Potts Fast evaluation of quadrature formulae
on the sphere . . . . . . . . . . . . . 397--419
Christine Choirat and
Raffaello Seri Statistical properties of generalized
discrepancies . . . . . . . . . . . . . 421--446
Venkatesan Guruswami and
Anindya C. Patthak Correlated algebraic-geometric codes:
Improved list decoding over bounded
alphabets . . . . . . . . . . . . . . . 447--473
S. Gurak Explicit values of multi-dimensional
Kloosterman sums for prime powers, II 475--493
Jonathan Bayless The Lucas--Pratt primality tree . . . . 495--502
M. Bauer and
M. J. Jacobson Jr. and
Y. Lee and
R. Scheidler Construction of hyperelliptic function
fields of high three-rank . . . . . . . 503--530
Don Coppersmith and
Nick Howgrave-Graham and
S. V. Nagaraj Divisors in residue classes,
constructively . . . . . . . . . . . . . 531--545
J. M. Chick and
G. H. Davies The evaluation of $\kappa_3$ . . . . . . 547--550
Jason E. Gower and
Samuel S. Wagstaff, Jr. Square form factorization . . . . . . . 551--588
Niels Möller On Schönhage's algorithm and subquadratic
integer gcd computation . . . . . . . . 589--607
Paul Tseng Book review: \em Control perspectives on
numerical algorithms and matrix problems 609--610
C. Carstensen and
Jun Hu A posteriori error analysis for
conforming MITC elements for
Reissner--Mindlin plates . . . . . . . . 611--632
Joachim Schöberl A posteriori error estimates for Maxwell
equations . . . . . . . . . . . . . . . 633--649
Dietrich Braess and
Joachim Schöberl Equilibrated residual error estimator
for edge elements . . . . . . . . . . . 651--672
Junqing Chen and
Zhiming Chen An adaptive perfectly matched layer
technique for $3$-D time-harmonic
electromagnetic scattering problems . . 673--698
Yingda Cheng and
Chi-Wang Shu A discontinuous Galerkin finite element
method for time dependent partial
differential equations with higher order
derivatives . . . . . . . . . . . . . . 699--730
Thirupathi Gudi and
Neela Nataraj and
Amiya K. Pani An $hp$-local discontinuous Galerkin
method for some quasilinear elliptic
boundary value problems of nonmonotone
type . . . . . . . . . . . . . . . . . . 731--756
Qun Lin and
Jichun Li Superconvergence analysis for Maxwell's
equations in dispersive media . . . . . 757--771
Sören Bartels and
Joy Ko and
Andreas Prohl Numerical analysis of an explicit
approximation scheme for the
Landau--Lifshitz--Gilbert equation . . . 773--788
A. El Hajj and
N. Forcadel A convergent scheme for a non-local
coupled system modelling dislocations
densities dynamics . . . . . . . . . . . 789--812
Snorre H. Christiansen and
Ragnar Winther Smoothed projections in finite element
exterior calculus . . . . . . . . . . . 813--829
Young-Ju Lee and
Jinbiao Wu and
Jinchao Xu and
Ludmil Zikatanov A sharp convergence estimate for the
method of subspace corrections for
singular systems of equations . . . . . 831--850
Jean-Pierre Bourgade and
Francis Filbet Convergence of a finite volume scheme
for coagulation-fragmentation equations 851--882
Zhong-qing Wang and
Ben-yu Guo Jacobi rational approximation and
spectral method for differential
equations of degenerate type . . . . . . 883--907
A. Ambroso and
C. Chalons and
F. Coquel and
E. Godlewski and
F. Lagouti\`ere and
P.-A. Raviart and
N. Seguin Coupling of general Lagrangian systems 909--941
Mapundi Banda and
Axel Klar and
Lorenzo Pareschi and
Mohammed Sea\"\id Lattice-Boltzmann type relaxation
systems and high order relaxation
schemes for the incompressible
Navier--Stokes equations . . . . . . . . 943--965
Karl Deckers and
Joris Van Deun and
Adhemar Bultheel Rational Gauss--Chebyshev quadrature
formulas for complex poles outside
$[-1,1]$ . . . . . . . . . . . . . . . . 967--983
Gradimir V. Milovanovic and
Miodrag M. Spalevic and
Miroslav S. Pranic Maximum of the modulus of kernels in
Gauss--Turán quadratures . . . . . . . . 985--994
Joost Rommes Arnoldi and Jacobi--Davidson methods for
generalized eigenvalue problems $A x =
\lambda B x$ with singular $B$ . . . . . 995--1015
Gero Hecklin and
Günther Nürnberger and
Larry L. Schumaker and
Frank Zeilfelder A local Lagrange interpolation method
based on $C^{1}$ cubic splines on
Freudenthal partitions . . . . . . . . . 1017--1036
Yi Jiang and
William W. Hager and
Jian Li The generalized triangular decomposition 1037--1056
Vincent Y. B. Chen and
William Y. C. Chen and
Nancy S. S. Gu The Abel Lemma and the $q$-Gosper
Algorithm . . . . . . . . . . . . . . . 1057--1074
Vassil Dimitrov and
Laurent Imbert and
Pradeep K. Mishra The double-base number system and its
application to elliptic curve
cryptography . . . . . . . . . . . . . . 1075--1104
Amnon Besser and
Rob de Jeu $\mathbf{Li}^{\boldsymbol{(p)}}$-service? An algorithm for computing $\boldsymbol{p}$-adic polylogarithms 1105--1134
So Ryoung Park and
Jinsoo Bae and
Hyun Gu Kang and
Iickho Song On the polynomial representation for the
number of partitions with fixed length 1135--1151
Ki-ichiro Hashimoto and
Akinari Hoshi and
Yuichi Rikuna Noether's problem and
$\mathbb{Q}$-generic polynomials for the
normalizer of the $8$-cycle in $S_8$ and
its subgroups . . . . . . . . . . . . . 1153--1183
Karim Belabas and
Francisco Diaz y Diaz and
Eduardo Friedman Small generators of the ideal class
group . . . . . . . . . . . . . . . . . 1185--1197
Preda Mihailescu Fast convolutions meet Montgomery . . . 1199--1221
Imin Chen On the equation $s^2 + y^{2p} =
\alpha^3$ . . . . . . . . . . . . . . . 1223--1227
Douglas N. Arnold and
Gerard Awanou and
Ragnar Winther Finite elements for symmetric tensors in
three dimensions . . . . . . . . . . . . 1229--1251
Yunqing Huang and
Jinchao Xu Superconvergence of quadratic finite
elements on mildly structured grids . . 1253--1268
Yanping Chen Superconvergence of mixed finite element
methods for optimal control problems . . 1269--1291
J. Guzmán Local and pointwise error estimates of
the local discontinuous Galerkin method
applied to the Stokes problem . . . . . 1293--1322
Jaeun Ku Weak coupling of solutions of
first-order least-squares method . . . . 1323--1332
Qiya Hu and
Shi Shu and
Jun Zou A mortar edge element method with nearly
optimal convergence for
three-dimensional Maxwell's equations 1333--1353
Ferenc Izsák and
Davit Harutyunyan and
Jaap J. W. van der Vegt Implicit a posteriori error estimates
for the Maxwell equations . . . . . . . 1355--1386
J. L. Guermond and
Jie Shen and
Xiaofeng Yang Error analysis of fully discrete
velocity-correction methods for
incompressible flows . . . . . . . . . . 1387--1405
Edward J. Fuselier Sobolev-type approximation rates for
divergence-free and curl-free RBF
interpolants . . . . . . . . . . . . . . 1407--1423
Jan S. Hesthaven and
Robert M. Kirby Filtering in Legendre spectral methods 1425--1452
Zhen-Huan Teng Modified equation for adaptive monotone
difference schemes and its convergent
analysis . . . . . . . . . . . . . . . . 1453--1465
Xiliang Lu and
Ping Lin and
Jian-Guo Liu Analysis of a sequential regularization
method for the unsteady Navier--Stokes
equations . . . . . . . . . . . . . . . 1467--1494
Francisco Guillén-González and
Juan Vicente Gutiérrez-Santacreu Unconditional stability and convergence
of fully discrete schemes for $2D$
viscous fluids models with mass
diffusion . . . . . . . . . . . . . . . 1495--1524
J. Fontbona and
S. Méléard A random space-time birth particle
method for $2$D vortex equations with
external field . . . . . . . . . . . . . 1525--1558
Peter Bürgisser and
Felipe Cucker and
Martin Lotz The probability that a slightly
perturbed numerical analysis problem is
difficult . . . . . . . . . . . . . . . 1559--1583
C. Brezinski and
M. Redivo-Zaglia Rational extrapolation for the PageRank
vector . . . . . . . . . . . . . . . . . 1585--1598
J. S. Brauchart Optimal logarithmic energy points on the
unit sphere . . . . . . . . . . . . . . 1599--1613
B. C. Carlson Power series for inverse Jacobian
elliptic functions . . . . . . . . . . . 1615--1621
Xuan-Yong Zhu and
Wen-Feng Qi On the distinctness of modular
reductions of maximal length sequences
modulo odd prime powers . . . . . . . . 1623--1637
J. E. Cremona Unimodular integer circulants . . . . . 1639--1652
Peter Huggins and
Bernd Sturmfels and
Josephine Yu and
Debbie S. Yuster The hyperdeterminant and triangulations
of the $4$-cube . . . . . . . . . . . . 1653--1679
Peter Borwein and
Ron Ferguson and
Michael J. Mossinghoff Sign changes in sums of the Liouville
function . . . . . . . . . . . . . . . . 1681--1694
Shahar Golan Equal moments division of a set . . . . 1695--1712
Tadej Kotnik Computational estimation of the constant
$\beta (1)$ characterizing the order of
$\zeta (1+it)$ . . . . . . . . . . . . . 1713--1723
Scott Ahlgren On the irreducibility of Hecke
polynomials . . . . . . . . . . . . . . 1725--1731
H. Kadiri Short effective intervals containing
primes in arithmetic progressions and
the seven cubes problem . . . . . . . . 1733--1748
Patrick Costello and
Michael Osborne Periodicity of the parity of a partition
function related to making change . . . 1749--1754
A. Bostan and
F. Morain and
B. Salvy and
É. Schost Fast algorithms for computing isogenies
between elliptic curves . . . . . . . . 1755--1778
Helen Avelin Computations of Eisenstein series on
Fuchsian groups . . . . . . . . . . . . 1779--1800
Harald Meyer Primitive central idempotents of finite
group rings of symmetric groups . . . . 1801--1821
Akinari Hoshi and
Yuichi Rikuna Rationality problem of three-dimensional
purely monomial group actions: the last
case . . . . . . . . . . . . . . . . . . 1823--1829
Maxime Augier and
Shalom Eliahou Parity-regular Steinhaus graphs . . . . 1831--1839
Weiling Yang and
Fuji Zhang Links and cubic $3$-polytopes . . . . . 1841--1857
Takeshi Goto and
Yasuo Ohno Odd perfect numbers have a prime factor
exceeding $10^8$ . . . . . . . . . . . . 1859--1868
K. G. Hare and
C. J. Smyth Corrigendum to ``The monic integer
transfinite diameter'' . . . . . . . . . 1869--1869
Gerard R. Richter On the order of convergence of the
discontinuous Galerkin method for
hyperbolic equations . . . . . . . . . . 1871--1885
Bernardo Cockburn and
Bo Dong and
Johnny Guzmán A superconvergent LDG-hybridizable
Galerkin method for second-order
elliptic problems . . . . . . . . . . . 1887--1916
Mark Ainsworth and
Richard Rankin Robust a posteriori error estimation for
the nonconforming Fortin--Soulie finite
element approximation . . . . . . . . . 1917--1939
Dylan M. Copeland and
Jayadeep Gopalakrishnan and
Joseph E. Pasciak A mixed method for axisymmetric div-curl
systems . . . . . . . . . . . . . . . . 1941--1965
M. Costabel and
M. Dauge and
L. Demkowicz Polynomial extension operators for
$H^1$, $\boldsymbol {\mathit H}({\mathbf
curl})$ and $\boldsymbol {\mathit
H}({\mathbf div})$\,-\,spaces on a cube 1967--1999
Andrei Draganescu and
Todd F. Dupont Optimal order multilevel preconditioners
for regularized ill-posed problems . . . 2001--2038
Sashikumaar Ganesan and
Gunar Matthies and
Lutz Tobiska Local projection stabilization of equal
order interpolation applied to the
Stokes problem . . . . . . . . . . . . . 2039--2060
Qun Lin and
Hung-Tsai Huang and
Zi-Cai Li New expansions of numerical eigenvalues
for $-\Delta u = \lambda \rho u$ by
nonconforming elements . . . . . . . . . 2061--2084
R. Bruce Kellogg and
Torsten Linss and
Martin Stynes A finite difference method on
layer-adapted meshes for an elliptic
reaction-diffusion system in two
dimensions . . . . . . . . . . . . . . . 2085--2096
Yinnian He The Euler implicit/explicit scheme for
the $2$D time-dependent Navier--Stokes
equations with smooth or non-smooth
initial data . . . . . . . . . . . . . . 2097--2124
Vladimir B. Andreev and
Natalia Kopteva Pointwise approximation of corner
singularities for a singularly perturbed
reaction-diffusion equation in an
$L$-shaped domain . . . . . . . . . . . 2125--2139
Christian Lubich On splitting methods for
Schrödinger--Poisson and cubic nonlinear
Schrödinger equations . . . . . . . . . . 2141--2153
V. Cortés and
J. M. Peña A stable test for strict sign regularity 2155--2171
Zeng Xin Wei and
Guo Yin Li and
Li Qun Qi Global convergence of the
Polak--Ribi\`ere--Polyak conjugate
gradient method with an Armijo-type
inexact line search for nonconvex
unconstrained optimization problems . . 2173--2193
Qiang Ye Computing singular values of diagonally
dominant matrices to high relative
accuracy . . . . . . . . . . . . . . . . 2195--2230
Wei-Jun Zhou and
Dong-Hui Li A globally convergent BFGS method for
nonlinear monotone equations without any
merit functions . . . . . . . . . . . . 2231--2240
Franz Peherstorfer Positive quadrature formulas III:
asymptotics of weights . . . . . . . . . 2241--2259
Stamatis Koumandos Monotonicity of some functions involving
the gamma and psi functions . . . . . . 2261--2275
Alfredo Deaño and
Javier Segura and
Nico M. Temme Identifying minimal and dominant
solutions for Kummer recursions . . . . 2277--2293
Michael S. Floater and
Tom Lyche Divided differences of inverse functions
and partitions of a convex polygon . . . 2295--2308
Leszek Plaskota and
Grzegorz W. Wasilkowski and
Yaxi Zhao The power of adaption for approximating
functions with singularities . . . . . . 2309--2338
Gabriele Nebe and
Chaoping Xing A Gilbert--Varshamov type bound for
Euclidean packings . . . . . . . . . . . 2339--2344
Josef Dick and
Friedrich Pillichshammer and
Benjamin J. Waterhouse The construction of good extensible
rank-1 lattices . . . . . . . . . . . . 2345--2373
Fredrik Strömberg Computation of Maass waveforms with
nontrivial multiplier systems . . . . . 2375--2416
Reinier Bröker A $p$-adic algorithm to compute the
Hilbert class polynomial . . . . . . . . 2417--2435
Geon-No Lee and
Soun-Hi Kwon The zeros of Dedekind zeta functions and
class numbers of CM-fields . . . . . . . 2437--2445
István Gaál and
Michael Pohst Solving resultant form equations over
number fields . . . . . . . . . . . . . 2447--2453
Mark Bauer and
Michael A. Bennett Prime factors of consecutive integers 2455--2459
Bernardo Cockburn and
Johnny Guzmán and
Haiying Wang Superconvergent discontinuous Galerkin
methods for second-order elliptic
problems . . . . . . . . . . . . . . . . 1--24
Alexandre L. Madureira A multiscale finite element method for
partial differential equations posed in
domains with rough boundaries . . . . . 25--34
Long Chen and
Michael Holst and
Jinchao Xu Convergence and optimality of adaptive
mixed finite element methods . . . . . . 35--53
Kenneth Hvistendahl Karlsen and
Siddhartha Mishra and
Nils Henrik Risebro Well-balanced schemes for conservation
laws with source terms based on a local
discontinuous flux formulation . . . . . 55--78
Q. T. Le Gia and
I. H. Sloan and
T. Tran Overlapping additive Schwarz
preconditioners for elliptic PDEs on the
unit sphere . . . . . . . . . . . . . . 79--101
P. A. Farrell and
E. O'Riordan and
G. I. Shishkin A class of singularly perturbed
quasilinear differential equations with
interior layers . . . . . . . . . . . . 103--127
Ben-yu Guo and
Tian-jun Wang Composite generalized Laguerre--Legendre
spectral method with domain
decomposition and its application to
Fokker--Planck equation in an infinite
channel . . . . . . . . . . . . . . . . 129--151
Owe Axelsson and
Evgeny Glushkov and
Natalya Glushkova The local Green's function method in
singularly perturbed
convection-diffusion problems . . . . . 153--170
Pallavi Mahale and
M. Thamban Nair A simplified generalized Gauss--Newton
method for nonlinear ill-posed problems 171--184
D. Bennequin and
M. J. Gander and
L. Halpern A homographic best approximation problem
with application to optimized Schwarz
waveform relaxation . . . . . . . . . . 185--223
Wenchang Sun Local sampling theorems for spaces
generated by splines with arbitrary
knots . . . . . . . . . . . . . . . . . 225--239
Avram Sidi Asymptotic expansions of Gauss--Legendre
quadrature rules for integrals with
endpoint singularities . . . . . . . . . 241--253
T. M. Larsen and
D. Erricolo and
P. L. E. Uslenghi New method to obtain small parameter
power series expansions of Mathieu
radial and angular functions . . . . . . 255--274
Robert Osburn and
Carsten Schneider Gaussian Hypergeometric series and
supercongruences . . . . . . . . . . . . 275--292
Moody T. Chu and
Shu-Fang Xu Spectral decomposition of real symmetric
quadratic $\lambda $-matrices and its
applications . . . . . . . . . . . . . . 293--313
A. Languasco and
A. Zaccagnini On the constant in the Mertens product
for arithmetic progressions. II:
Numerical values . . . . . . . . . . . . 315--326
Arturas Dubickas and
Jonas Jankauskas On Newman polynomials which divide no
Littlewood polynomial . . . . . . . . . 327--344
Laurent Busé and
Bernard Mourrain Explicit factors of some iterated
resultants and discriminants . . . . . . 345--386
Kanat Abdukhalikov and
Rudolf Scharlau Unimodular lattices in dimensions $14$
and $15$ over the Eisenstein integers 387--403
Kevin G. Hare Tiles in quasicrystals with quartic
irrationality . . . . . . . . . . . . . 405--420
Graeme L. Cohen Superharmonic numbers . . . . . . . . . 421--429
Bernhard Heim Congruences for the Ramanujan function
and generalized class numbers . . . . . 431--439
Adam Logan and
Ronald van Luijk Nontrivial elements of Sha explained
through K3 surfaces . . . . . . . . . . 441--483
Andrew V. Sutherland A generic approach to searching for
Jacobians . . . . . . . . . . . . . . . 485--507
Shuhong Gao and
Daqing Wan and
Mingsheng Wang Primary decomposition of
zero-dimensional ideals over finite
fields . . . . . . . . . . . . . . . . . 509--521
Yoshiyuki Kitaoka A statistical relation of roots of a
polynomial in different local fields . . 523--536
Jordi Quer Fields of definition of building blocks 537--554
Tuomas Hakkarainen On the computation of class numbers of
real abelian fields . . . . . . . . . . 555--573
Josep González and
Jordi Gu\`ardia Genus two curves with quaternionic
multiplication and modular Jacobian . . 575--589
Michael Eisermann Bimonotone enumeration . . . . . . . . . 591--613
Keith R. Matthews and
John P. Robertson and
Jim White Corrigenda to ``Calculation of the
regulator of ${\mathbf Q}(\sqrt {D})$ by
use of the nearest integer continued
fraction algorithm'' . . . . . . . . . . 615--616
Hyun Kwang Kim Errata to ``Evaluation of zeta function
of the simplest cubic field at negative
odd integers'' . . . . . . . . . . . . . 617--618
Rob Stevenson and
Manuel Werner A multiplicative Schwarz adaptive
wavelet method for elliptic boundary
value problems . . . . . . . . . . . . . 619--644
Klaus Deckelnick and
Gerhard Dziuk Error analysis for the elastic flow of
parametrized curves . . . . . . . . . . 645--671
Jun Hu and
Zhong-Ci Shi Analysis for quadrilateral MITC elements
for the Reissner--Mindlin plate problem 673--711
Hengguang Li A-priori analysis and the finite element
method for a class of degenerate
elliptic equations . . . . . . . . . . . 713--737
Luka Grubisic and
Jeffrey S. Ovall On estimators for eigenvalue/eigenvector
approximations . . . . . . . . . . . . . 739--770
Zhiqiang Cai and
Yanqiu Wang An error estimate for two-dimensional
Stokes driven cavity flow . . . . . . . 771--787
Victorita Dolean and
Frédéric Nataf and
Gerd Rapin Deriving a new domain decomposition
method for the Stokes equations using
the Smith factorization . . . . . . . . 789--814
Jie Shen and
Li-Lian Wang On spectral approximations in elliptical
geometries using Mathieu functions . . . 815--844
Arnaud Debussche and
Jacques Printems Weak order for the discretization of the
stochastic heat equation . . . . . . . . 845--863
Laurence Halpern and
Jérémie Szeftel Nonlinear nonoverlapping Schwarz
waveform relaxation for semilinear wave
propagation . . . . . . . . . . . . . . 865--889
Jinyuan Du On the collocation methods for singular
integral equations with Hilbert kernel 891--928
Gil Ariel and
Bjorn Engquist and
Richard Tsai A multiscale method for highly
oscillatory ordinary differential
equations with resonance . . . . . . . . 929--956
S. Maset and
M. Zennaro Unconditional stability of explicit
exponential Runge--Kutta methods for
semi-linear ordinary differential
equations . . . . . . . . . . . . . . . 957--967
B. de la Calle Ysern and
G. López Lagomasino and
L. Reichel Stieltjes-type polynomials on the unit
circle . . . . . . . . . . . . . . . . . 969--997
Huiyuan Li and
Yuan Xu Discrete Fourier analysis on a
dodecahedron and a tetrahedron . . . . . 999--1029
Adhemar Bultheel and
Ruymán Cruz-Barroso and
Karl Deckers and
Pablo González-Vera Rational Szeg\Ho quadratures associated
with Chebyshev weight functions . . . . 1031--1059
Kevin A. Broughan Evaluating Jacquet's $\mathbf {\rm
GL}(n)$ Whittaker function . . . . . . . 1061--1072
Thomas R. Hagedorn Computation of Jacobsthal's function
$h(n)$ for $n < 50$. . . . . . . . . . . 1073--1087
Andreas Enge The complexity of class polynomial
computation via floating point
approximations . . . . . . . . . . . . . 1089--1107
Eric D. Driver and
John W. Jones A targeted Martinet search . . . . . . . 1109--1117
V. Flammang Trace of totally positive algebraic
integers and integer transfinite
diameter . . . . . . . . . . . . . . . . 1119--1125
Donald Jason Gibson A covering system with least modulus
$25$ . . . . . . . . . . . . . . . . . . 1127--1146
Mark W. Coffey Asymptotic estimation of
$\xi^{(2n)}(1/2)$: On a conjecture of
Farmer and Rhoades . . . . . . . . . . . 1147--1154
John Voight Shimura curves of genus at most two . . 1155--1172
Roger Oyono Non-hyperelliptic modular Jacobians of
dimension $3$ . . . . . . . . . . . . . 1173--1191
A. Paszkiewicz A new prime $p$ for which the least
primitive root $({\rm mod} p)$ and the
least primitive root $({\rm mod} p^2)$
are not equal . . . . . . . . . . . . . 1193--1195
Richard P. Brent and
Paul Zimmermann Ten new primitive binary trinomials . . 1197--1199
L. Hajdu and
T. Kovács Parallel LLL-reduction for bounding the
integral solutions of elliptic
Diophantine equations . . . . . . . . . 1201--1210
M. Bullejos and
J. C. Rosales Proportionally modular diophantine
inequalities and the Stern--Brocot tree 1211--1226
Andreas-Stephan Elsenhans and
Jörg Jahnel New sums of three cubes . . . . . . . . 1227--1230
Daniel B. Szyld Book review: \em An introduction to
iterative Toeplitz solvers . . . . . . . 1231--1232
Levent Tunçel Book review: \em Optimization algorithms
on matrix manifolds . . . . . . . . . . 1233--1236
Alexander Weiss and
Barbara I. Wohlmuth A posteriori error estimator and error
control for contact problems . . . . . . 1237--1267
Sören Bartels and
Christian Lubich and
Andreas Prohl Convergent discretization of heat and
wave map flows to spheres using
approximate discrete Lagrange
multipliers . . . . . . . . . . . . . . 1269--1292
Christoph Schwab and
Rob Stevenson Space-time adaptive wavelet methods for
parabolic evolution problems . . . . . . 1293--1318
Ian H. Sloan and
Holger Wendland Inf-sup condition for spherical
polynomials and radial basis functions
on spheres . . . . . . . . . . . . . . . 1319--1331
T. Gallouët and
R. Herbin and
J.-C. Latché A convergent finite element-finite
volume scheme for the compressible
Stokes problem. Part I: The isothermal
case . . . . . . . . . . . . . . . . . . 1333--1352
Mika Juntunen and
Rolf Stenberg Nitsche's method for general boundary
conditions . . . . . . . . . . . . . . . 1353--1374
Seungil Kim and
Joseph E. Pasciak The computation of resonances in open
systems using a perfectly matched layer 1375--1398
Yiorgos-Sokratis Smyrlis Applicability and applications of the
method of fundamental solutions . . . . 1399--1434
Victor D. Didenko and
Bernd Silbermann Computational approach to solvability of
refinement equations . . . . . . . . . . 1435--1466
Erwan Faou Analysis of splitting methods for
reaction-diffusion problems using
stochastic calculus . . . . . . . . . . 1467--1483
Eskil Hansen and
Alexander Ostermann Exponential splitting for unbounded
operators . . . . . . . . . . . . . . . 1485--1496
David I. Ketcheson Computation of optimal monotonicity
preserving general linear methods . . . 1497--1513
Jian-Feng Cai and
Stanley Osher and
Zuowei Shen Linearized Bregman iterations for
compressed sensing . . . . . . . . . . . 1515--1536
Say Song Goh and
Tim N. T. Goodman and
S. L. Lee Hybrid spline frames . . . . . . . . . . 1537--1551
Ken'ichiro Tanaka and
Masaaki Sugihara and
Kazuo Murota Function classes for successful DE--Sinc
approximations . . . . . . . . . . . . . 1553--1571
Kwong-Ip Liu and
Josef Dick and
Fred J. Hickernell A multivariate fast discrete Walsh
transform with an application to
function interpolation . . . . . . . . . 1573--1591
Avram Sidi Variable transformations and
Gauss--Legendre quadrature for integrals
with endpoint singularities . . . . . . 1593--1612
J. A. Ezquerro and
M. A. Hernández An improvement of the region of
accessibility of Chebyshev's method from
Newton's method . . . . . . . . . . . . 1613--1627
Sheehan Olver On the convergence rate of a modified
Fourier series . . . . . . . . . . . . . 1629--1645
Dmitrii Kouznetsov Solution of $F(z+1)=\exp \big(F(z)\big)$
in complex $z$-plane . . . . . . . . . . 1647--1670
Gui-Hua Lin Combined Monte Carlo sampling and
penalty method for Stochastic nonlinear
complementarity problems . . . . . . . . 1671--1686
O. N. Karpenkov Constructing multidimensional periodic
continued fractions in the sense of
Klein . . . . . . . . . . . . . . . . . 1687--1711
Mathieu Dutour Sikiric and
Achill Schürmann and
Frank Vallentin Complexity and algorithms for computing
Voronoi cells of lattices . . . . . . . 1713--1731
Géza Kós and
Péter Ligeti and
Péter Sziklai Reconstruction of matrices from
submatrices . . . . . . . . . . . . . . 1733--1747
Anton Leykin and
Frank Sottile Galois groups of Schubert problems via
homotopy computation . . . . . . . . . . 1749--1765
J. Miret and
R. Moreno and
A. Rio and
M. Valls Computing the $\ell$-power torsion of an
elliptic curve over a finite field . . . 1767--1786
Masaaki Harada and
Akihiro Munemasa and
Boris Venkov Classification of ternary extremal
self-dual codes of length $28$ . . . . . 1787--1796
Takashi Fukuda and
Keiichi Komatsu On the Iwasawa $\lambda$-invariant of
the cyclotomic $\mathbb {Z}_2$-extension
of $\mathbb {Q}(\sqrt p)$ . . . . . . . 1797--1808
Andreas Enge Computing modular polynomials in
quasi-linear time . . . . . . . . . . . 1809--1824
John Cullinan A computational approach to the
$2$-torsion structure of abelian
threefolds . . . . . . . . . . . . . . . 1825--1836
Arturas Dubickas and
Michael J. Mossinghoff Lower bounds for $Z$-numbers . . . . . . 1837--1851
Ke-Jian Wu and
Zhi-Wei Sun Covers of the integers with odd moduli
and their applications to the forms $x^m
- 2^n$ and $x^2 - F_{3n}/2$ . . . . . . 1853--1866
Daniela Calvetti Book review: \em Matrix methods in data
mining and pattern recognition . . . . . 1867--1868
Jan Maes and
Peter Oswald Multilevel finite element
preconditioning for $\sqrt {3}$
refinement . . . . . . . . . . . . . . . 1869--1890
David Mora and
Rodolfo Rodríguez A piecewise linear finite element method
for the buckling and the vibration
problems of thin plates . . . . . . . . 1891--1917
Todd F. Dupont and
Itir Mogultay A symmetric error estimate for Galerkin
approximations of time-dependent
Navier--Stokes equations in two
dimensions . . . . . . . . . . . . . . . 1919--1927
Ramiro Acevedo and
Salim Meddahi and
Rodolfo Rodríguez An $\boldsymbol {E}$-based mixed
formulation for a time-dependent eddy
current problem . . . . . . . . . . . . 1929--1949
M. Asadzadeh and
A. H. Schatz and
W. Wendland A new approach to Richardson
extrapolation in the finite element
method for second order elliptic
problems . . . . . . . . . . . . . . . . 1951--1973
Kassem Mustapha and
William McLean Discontinuous Galerkin method for an
evolution equation with a memory term of
positive type . . . . . . . . . . . . . 1975--1995
Jiequan Li and
Huazhong Tang and
Gerald Warnecke and
Lumei Zhang Local oscillations in finite difference
solutions of hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 1997--2018
István Gyöngy and
Nicolai Krylov First derivatives estimates for
finite-difference schemes . . . . . . . 2019--2046
Erwan Faou and
Tony Leli\`evre Conservative stochastic differential
equations: Mathematical and numerical
analysis . . . . . . . . . . . . . . . . 2047--2074
G. N. Milstein and
M. V. Tretyakov Solving parabolic stochastic partial
differential equations via averaging
over characteristics . . . . . . . . . . 2075--2106
J. Cermák and
J. Jánsky On the asymptotics of the trapezoidal
rule for the pantograph equation . . . . 2107--2126
Jian-Feng Cai and
Stanley Osher and
Zuowei Shen Convergence of the linearized Bregman
iteration for $\ell_1$-norm minimization 2127--2136
Ping Zhou and
Annie Cuyt and
Jieqing Tan General order multivariate Padé;
approximants for Pseudo-multivariate
functions. II . . . . . . . . . . . . . 2137--2155
Edward J. Fuselier and
Francis J. Narcowich and
Joseph D. Ward and
Grady B. Wright Error and stability estimates for
surface-divergence free RBF interpolants
on the sphere . . . . . . . . . . . . . 2157--2186
J. Arias de Reyna and
J. van de Lune High precision computation of a constant
in the theory of trigonometric series 2187--2191
Qiu-Ming Luo Fourier expansions and integral
representations for the
Apostol--Bernoulli and Apostol--Euler
polynomials . . . . . . . . . . . . . . 2193--2208
Jun-ichi Tamura and
Shin-ichi Yasutomi A new multidimensional continued
fraction algorithm . . . . . . . . . . . 2209--2222
M. Griebel and
S. Knapek Optimized general sparse grid
approximation spaces for operator
equations . . . . . . . . . . . . . . . 2223--2257
Zhivko Nedev An algorithm for finding a nearly
minimal balanced set in $\mathbb{F}_p$ 2259--2267
William Y. C. Chen and
Ernest X. W. Xia The ratio monotonicity of the
Boros--Moll polynomials . . . . . . . . 2269--2282
Eric Bach and
Dominic Klyve and
Jonathan P. Sorenson Computing prime harmonic sums . . . . . 2283--2305
Hugo Chapdelaine Computation of $p$-units in ray class
fields of real quadratic number fields 2307--2345
Nils Bruin and
Michael Stoll Two-cover descent on hyperelliptic
curves . . . . . . . . . . . . . . . . . 2347--2370
Raimundas Vidunas and
Alexander V. Kitaev Computation of highly ramified coverings 2371--2395
Grigor Grigorov and
Andrei Jorza and
Stefan Patrikis and
William A. Stein and
Corina Tarnita Computational verification of the Birch
and Swinnerton-Dyer conjecture for
individual elliptic curves . . . . . . . 2397--2425
S. C. Coutinho and
Marcos da Silva Ferreira Algebraic solutions of Jacobi equations 2427--2433
I. Jiménez Calvo and
J. Herranz and
G. Sáez A new algorithm to search for small
nonzero $|x^3-y^2|$ values . . . . . . . 2435--2444
Daniel B. Szyld Book review: \em The matrix eigenvalue
problem: GR and Krylov subspace methods 2445--2446
Anders Björn and
Hans Riesel Table errata 2 to ``Factors of
generalized Fermat numbers'' . . . . . . 1865--1866
Cornelius Greither and
Xavier-François Roblot and
Brett A. Tangedal Corrigendum to ``The Brumer--Stark
conjecture in some families of
extensions of specified degree'' . . . . 955--957