Volume 67, Number 221, 1998

• 
  James H. Bramble, Joseph E. Pasciak, Apostol T. Vassilev: Analysis of non-overlapping domain decomposition algorithms with inexact solves. 1-19
• 
  Kazufumi Ito, Franz Kappel: The Trotter-Kato theorem and approximation of PDEs. 21-44
• 
  Stig Larsson, Vidar Thomée, Lars B. Wahlbin: Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method. 45-71
• 
  Sigal Gottlieb, Chi-Wang Shu: Total variation diminishing Runge-Kutta schemes. 73-85
• 
  Haitao Fan: Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws. 87-109
• 
  Alfredo Bermúdez, Ricardo G. Durán, Rodolfo Rodríguez: Finite element analysis of compressible and incompressible fluid-solid systems. 111-136
• 
  Héctor D. Ceniceros, Thomas Y. Hou: Convergence of a non-stiff boundary integral method for interfacial flows with surface tension. 137-182
• 
  Willem Hundsdorfer: A note on stability of the Douglas splitting method. 183-190
• 
  Amos Ron, Zuowei Shen: Compactly supported tight affine spline frames in L₂(R^d). 191-207
• 
  M. Jesús Castel, Violeta Migallón, José Penadés: Convergence of non-stationary parallel multisplitting methods for hermitian positive definite matrices. 209-220
• 
  Suely Oliveira: A new parallel chasing algorithm for transforming arrowhead matrices to tridiagonal form. 221-235
• 
  Jean Claude Miellou, Didier El Baz, Pierre Spitéri: A new class of asynchronous iterative algorithms with order intervals. 237-255
• 
  Hidetsune Kobayashi, Hideo Suzuki, Yoshihiko Sakai: Numerical calculation of the multiplicity of a solution to algebraic equations. 257-270
• 
  A. Melman: Analysis of third-order methods for secular equations. 271-286
• 
  Isao Shoji: Approximation of continuous time stochastic processes by a local linearization method. 287-298
• 
  Fred J. Hickernell: A generalized discrepancy and quadrature error bound. 299-322
• 
  Riadh Ben Ghanem: Quadrature formulae using zeros of Bessel functions as nodes. 323-336
• 
  Kie H. Ham, Gary L. Mullen: Distribution of irreducible polynomials of small degrees over finite fields. 337-341
• 
  Shuhong Gao, Joachim von zur Gathen, Daniel Panario: Gauss periods: orders and cryptographical applications. 343-352
• 
  Igor A. Semaev: Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p. 353-356
• 
  Mike J. Grannell, Terry S. Griggs, Rudolf Mathon: Steiner systems S(5, 6, v) with v = 72 and 84. 357-359
• 
  Michael E. Pohst, K. Wildanger: Tables of unit groups and class groups of quintic fields and a regulator bound. 361-367
• 
  Stanislav Jakubec: On divisibility of the class number h⁺ of the real cyclotomic fields of prime degree l. 369-398
• 
  Graeme L. Cohen, Herman J. J. te Riele: On phi-amicable pairs. 399-411
• 
  Michael A. Bennett, Benjamin M. M. de Weger: On the Diophantine equation |axⁿ - byⁿ | = 1. 413-438
• 
  J. H. E. Cohn: A conjecture of Erdös on 3-powerful numbers. 439-440
• 
  Anders Björn, Hans Riesel: Factors of generalized Fermat numbers. 441-446

Volume 67, Number 222, 1998

• 
  Georgios Akrivis, Michel Crouzeix, Charalambos Makridakis: Implicit-explicit multistep finite element methods for nonlinear parabolic problems. 457-477
• 
  Ohannes A. Karakashian, Charalambos Makridakis: A space-time finite element method for the nonlinear Schröinger equation: the discontinuous Galerkin method. 479-499
• 
  Norbert Heuer, Ernst P. Stephan, Thanh Tran: Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method. 501-518
• 
  Xiaojun Chen, Liqun Qi, Defeng Sun: Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. 519-540
• 
  Zhimin Zhang: Derivative superconvergent points in finite element solutions of Poisson's equation for the serendipity and intermediate families - a theoretical justification. 541-552
• 
  Christophe Labreuche: A convergence theorem for the fast multipole method for 2 dimensional scattering problems. 553-591
• 
  Weidong Lu: Convergence of a random walk method for a partial differential equation. 593-602
• 
  Paul A. Farrell, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin: On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. 603-617
• 
  Bao Cheng Li, Stavros Syngellakis: Numerical conformal mapping based on the generalised conjugation operator. 619-639
• 
  Lori A. Carmack: Numerical evaluation of a symmetric potential function. 641-646
• 
  Rong-Qing Jia: Approximation properties of multivariate wavelets. 647-665
• 
  Zhangxin Chen, Peter Oswald: Multigrid and multilevel methods for nonconforming Q₁ elements. 667-693
• 
  Chen Greif, David Levin: The d₂-transformation for infinite double series and the D₂-transformation for infinite double integrals. 695-714
• 
  Franck Beaucoup, Peter B. Borwein, David W. Boyd, Christopher Pinner: Power series with restricted coefficients and a root on a given ray. 715-736
• 
  Rudolf Scharlau, Boris Hemkemeier: Classification of integral lattices with large class number. 737-749
• 
  Ruedi Suter: The number of lattice points in alcoves and the exponents of the finite Weyl groups. 751-758
• 
  Gerhard Niklasch, Nigel P. Smart: Exceptional units in a family of quartic number fields. 759-772
• 
  Henri Cohen, Francisco Diaz y Diaz, Michel Olivier: Computing ray class groups, conductors and discriminants. 773-795
• 
  Richard Blecksmith, John Brillhart, Irving Gerst: A constructive theory of triple and quintuple product identities of the second degree. 797-814
• 
  Gregory P. Dresden: Orbits of algebraic numbers with low heights. 815-820
• 
  Michel Grandcolas: Diameters of complete sets of conjugate algebraic integers of small degree. 821-831
• 
  Kiran S. Kedlaya: Solving constrained Pell equations. 833-842
• 
  Takashi Agoh, Karl Dilcher, Ladislav Skula: Wilson quotients for composite moduli. 843-861
• 
  Yannick Saouter: Checking the odd Goldbach conjecture up to 10²⁰. 863-866

Volume 67, Number 223, 1998

• 
  Alfred H. Schatz: Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates. 877-899
• 
  James H. Bramble, Tong Sun: A negative-norm least squares method for Reissner-Mindlin plates. 901-916
• 
  Bo Li, Mitchell Luskin: Nonconforming finite element approximation of crystalline microstructure. 917-946
• 
  R. A. Nicolaides, D.-Q. Wang: Convergence analysis of a covolume scheme for Maxwell's equations in three dimensions. 947-963
• 
  Qiang Du: Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity. 965-986
• 
  Qiya Hu: Interpolation correction for collocation solutions of Fredholm integro-differential equations. 987-999
• 
  J. C. Butcher, R. P. K. Chan: Efficient Runge-Kutta integrators for index-2 differential algebraic equations. 1001-1021
• 
  Konstantin Mischaikow, Marian Mrozek: Chaos in the Lorenz equations: A computer assisted proof. Part II: Details. 1023-1046
• 
  Willem Hundsdorfer: Trapezoidal and midpoint splittings for initial-boundary value problems. 1047-1062
• 
  Knut S. Eckhoff: On a high order numerical method for functions with singularities. 1063-1087
• 
  Chun-Hua Guo, Peter Lancaster: Analysis and modificaton of Newton's method for algebraic Riccati equations. 1089-1105
• 
  Satya Deo, Lipika Mazumdar: An algorithm for constructing a basis for C^r-spline modules over polynomial rings. 1107-1120
• 
  David Keith Maslen: The efficient computation of Fourier transforms on the symmetric group. 1121-1147
• 
  John D. Hobby: A natural lattice basis problem with applications. 1149-1161
• 
  Richard E. Crandall: Fast evaluation of multiple zeta sums. 1163-1172
• 
  Bernt Lindström: Finding finite B₂-sequences faster. 1173-1178
• 
  Erich Kaltofen, Victor Shoup: Subquadratic-time factoring of polynomials over finite fields. 1179-1197
• 
  Sándor Szabó, Coburn Ward: Factoring elementary groups of prime cube order into subsets. 1199-1206
• 
  Chris Charnes, Ulrich Dempwolff: The translation planes of order 49 and their automorphism groups. 1207-1224
• 
  René Schoof: Minus class groups of the fields of the $l$-th roots of unity. 1225-1245
• 
  L. Dewaghe: Remarks on the Schoof-Elkies-Atkin algorithm. 1247-1252
• 
  Daniel J. Bernstein: Detecting perfect powers in essentially linear time. 1253-1283
• 
  Anitha Srinivasan: Computations of class numbers of real quadratic fields. 1285-1308
• 
  Randy L. Ekl: New results in equal sums of like powers. 1309-1315
• 
  Ray Steiner: Class number bounds and Catalan's equation. 1317-1322
• 
  Peter Hagis Jr., Graeme L. Cohen: Every odd perfect number has a prime factor which exceeds 10⁶. 1323-1330

Volume 67, Number 224, 1998

• 
  R. Verfürth: A posteriori error estimates for nonlinear problems. L^r(0, T; L^rho(Omega))-error estimates for finite element discretizations of parabolic equations. 1335-1360
• 
  Willy Dörfler, Martin Rumpf: An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. 1361-1382
• 
  Lung-an Ying: Vortex method for two dimensional Euler equations in bounded domains with boundary correction. 1383-1400
• 
  Rafikul Alam, Rekha P. Kulkarni, Balmohan V. Limaye: Accelerated spectral approximation. 1401-1422
• 
  Ning Hu, Xian-Zhong Guo, I. Norman Katz: Bounds for eigenvalues and condition numbers in the p-version of the finite element method. 1423-1450
• 
  Karen A. Ames, Gordon W. Clark, James F. Epperson, Seth F. Oppenheimer: A comparison of regularizations for an ill-posed problem. 1451-1471
• 
  Jukka Saranen, Gennadi Vainikko: Fast solvers of integral and pseudodifferential equations on closed curves. 1473-1491
• 
  Giovanni Monegato, Letizia Scuderi: High order methods for weakly singular integral equations with nonsmooth input functions. 1493-1515
• 
  David Levin: The approximation power of moving least-squares. 1517-1531
• 
  Rong-Qing Jia, Sherman D. Riemenschneider, Ding-Xuan Zhou: Vector subdivision schemes and multiple wavelets. 1533-1563
• 
  Atsushi Nagai, Tetsuji Tokihiro, Junkichi Satsuma: The Toda molecule equation and the epsilon-algorithm. 1565-1575
• 
  Daniel Potts, Gabriele Steidl, Manfred Tasche: Fast algorithms for discrete polynomial transforms. 1577-1590
• 
  Nicholas J. Higham: Factorizing complex symmetric matrices with positive definite real and imaginary parts. 1591-1599
• 
  Natasha Flyer: Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function. 1601-1616
• 
  Josef Leydold, Wolfgang Hörmann: A sweep-plane algorithm for generating random tuples in simple polytopes. 1617-1635
• 
  Edlyn Teske: A space efficient algorithm for group structure computation. 1637-1663
• 
  Jeremy Teitelbaum: Euclid's algorithm and the Lanczos method over finite fields. 1665-1678
• 
  Igor A. Semaev: An algorithm for evaluation of discrete logarithms in some nonprime finite fields. 1679-1689
• 
  Marc Deléglise, Joël Rivat: Computing psi(x). 1691-1696
• 
  Michael J. Mossinghoff: Polynomials with small Mahler measure. 1697-1705
• 
  Michael J. Mossinghoff, Christopher G. Pinner, Jeffrey D. Vaaler: Perturbing polynomials with all their roots on the unit circle. 1707-1726
• 
  P. Goetgheluck: Infinite families of solutions of the equation binom(n, k) = 2 binom(a, b). 1727-1733
• 
  Jeff Young: Large primes and Fermat factors. 1735-1738

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