Mathematics of Computation, Volume 67

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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