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Volume 67, Number 221, January, 1998Anders 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