Mathematics of Computation, Volume 68

Volume 68, Number 225, 1999

• Gerhard Dziuk, John E. Hutchinson:
  The discrete Plateau Problem: Algorithm and numerics. 1-23
  
• Susanne C. Brenner:
  Convergence of nonconforming multigrid methods without full elliptic regularity. 25-53
  
• Stig Larsson, J. M. Sanz-Serna:
  A shadowing result with applications to finite element approximation of reaction-diffusion equations. 55-72
  
• C. González, Cesar Palencia:
  Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case. 73-89
  
• C. Schwab, W. L. Wendland:
  On the extraction technique in boundary integral equations. 91-122
  
• A. Bendali, Ph. Guillaume:
  Non-reflecting boundary conditions for waveguides. 123-144
  
• Xiaobing Feng:
  Absorbing boundary conditions for electromagnetic wave propagation. 145-168
  
• Wang Xinghua:
  Convergence of Newton's method and inverse function theorem in Banach space. 169-186
  
• Ricardo G. Durán:
  Error estimates for 3-d narrow finite elements. 187-199
  
• Robert Schaback:
  Improved error bounds for scattered data interpolation by radial basis functions. 201-216
  
• Abdelkrim Ezzirani, Allal Guessab:
  A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations. 217-248
  
• Pierre L'Ecuyer:
  Tables of linear congruential generators of different sizes and good lattice structure. 249-260
  
• Pierre L'Ecuyer:
  Tables of maximally equidistributed combined LFSR generators. 261-269
  
• Sandra Feisel, Joachim von zur Gathen, Amin Shokrollahi:
  Normal bases via general Gauss periods. 271-290
  
• Jerzy Browkin, Herbert Gangl:
  Tame and wild kernels of quadratic imaginary number fields. 291-305
  
• Paul B. van Wamelen:
  Examples of genus two CM curves defined over the rationals. 307-320
  
• Patrick J. Callahan, Martin V. Hildebrand, Jeffrey R. Weeks:
  A census of cusped hyperbolic 3-manifolds. 321-332
  
• Schehrazad Selmane:
  Non-primitive number fields of degree eight and of signature (2, 3), (4, 2), and (6, 1) with small discriminant. 333-344
  
• Johannes Buchmann, Friedrich Eisenbrand:
  On factor refinement in number fields. 345-350
  
• Helaman R. P. Ferguson, David H. Bailey, Steve Arno:
  Analysis of PSLQ, an integer relation finding algorithm. 351-369
  
• Tomás Oliveira e Silva:
  Maximum excursion and stopping time record-holders for the problem: Computational results. 371-384
  
• P. G. Walsh:
  On two classes of simultaneous Pell equations with no solutions. 385-388
  
• Manuel Benito, Juan L. Varona:
  Advances in aliquot sequences. 389-393
  
• Todd Cochrane, Robert E. Dressler:
  Gaps between integers with the same prime factors. 395-401
  
• Miodrag Zivkovic:
  The number of primes is finite. 403-409
  
• Pierre Dusart:
  The k^th prime is greater than k(ln k + ln ln k - 1) for k >= 2. 411-415
  
• Harvey Dubner, Wilfrid Keller:
  New Fibonacci and Lucas primes. 417-427
  
• Richard P. Brent:
  Factorization of the tenth Fermat number. 429-451
  

Volume 68, Number 226, 1999

• Marie-Noelle Le Roux, Paul-Emile Maingé:
  Numerical solution of a fast diffusion equation. 461-485
  
• John W. Barrett, James F. Blowey:
  Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility. 487-517
  
• Gerhard Dziuk, John E. Hutchinson:
  The discrete plateau problem: Convergence results. 519-546
  
• Hongtao Yang:
  On the convergence of boundary element methods for initial-Neumann problems for the heat equation. 547-557
  
• Susanne C. Brenner:
  Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities. 559-583
  
• P. Le Tallec, M. D. Tidriri:
  Convergence analysis of domain decomposition algorithms with full overlapping for the advection-diffusion problems. 585-606
  
• Ana Alonso, Alberto Valli:
  An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations. 607-631
  
• Peter Oswald:
  On the robustness of the BPX-preconditioner with respect to jumps in the coefficients. 633-650
  
• Ibrahim Coulibaly, Christian Lécot:
  A quasi-randomized Runge-Kutta method. 651-659
  
• Werner M. Seiler:
  Numerical integration of constrained Hamiltonian systems using Dirac brackets. 661-681
  
• I. A. Blatov, V. V. Strygin:
  On best possible order of convergence estimates in the collocation method and Galerkin's method for singularly perturbed boundary value problems for systems of first-order ordinary differential equations. 683-715
  
• Peter Eberhard, Christian H. Bischof:
  Automatic differentiation of numerical integration algorithms. 717-731
  
• Kurt Jetter, Joachim Stöckler, Joseph D. Ward:
  Error estimates for scattered data interpolation on spheres. 733-747
  
• Karlheinz Gröchenig:
  Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type. 749-765
  
• Fred J. Hickernell, Hee Sun Hong:
  The asymptotic efficiency of randomized nets for quadrature. 767-791
  
• Stefano Serra:
  Superlinear PCG methods for symmetric Toeplitz systems. 793-803
  
• Hans-Georg Rück:
  On the discrete logarithm in the divisor class group of curves. 805-806
  
• Volker Müller, Andreas Stein, Christoph Thiel:
  Computing discrete logarithms in real quadratic congruence function fields of large genus. 807-822
  
• Ernst-Ulrich Gekeler, Rita Leitl, Bodo Wack:
  Zeta functions of a class of elliptic curves over a rational function field of characteristic two. 823-833
  
• Joseph H. Silverman:
  Computing rational points on rank 1 elliptic curves via $L$-series and canonical heights. 835-858
  
• Michael J. Jacobson Jr.:
  Applying sieving to the computation of quadratic class groups. 859-867
  
• Peter Roelse:
  Factoring high-degree polynomials over F₂ with Niederreiter's algorithm on the IBM SP2. 869-880
  
• Gwoboa Horng, Ming-Deh A. Huang:
  Solving polynomials by radicals with roots of unity in minimum depth. 881-885
  

Volume 68, Number 227, 1999

• Bosco García-Archilla, Julia Novo, Edriss S. Titi:
  An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations. 893-911
  
• Thomas Y. Hou, Xiao-Hui Wu, Zhiqiang Cai:
  Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. 913-943
  
• Ruixia Li:
  On the coupling of BEM and FEM for exterior problems for the Helmholtz equation. 945-953
  
• Abdallah Chalabi:
  Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms. 955-970
  
• Dongming Wei, Lew Lefton:
  A priori L^rho error estimates for Galerkin approximations to porous medium and fast diffusion equations. 971-989
  
• So-Hsiang Chou, Panayot Vassilevski:
  A general mixed covolume framework for constructing conservative schemes for elliptic problems. 991-1011
  
• M. I. M. Copetti:
  Finite element approximation to a contact problem in linear thermoelasticity. 1013-1024
  
• Philippe G. LeFloch, Jian-Guo Liu:
  Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. 1025-1055
  
• Amin Boumenir:
  Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem. 1057-1066
  
• Ben-yu Guo:
  Error estimation of Hermite spectral method for nonlinear partial differential equations. 1067-1078
  
• Hermann Brunner, Arvet Pedas, Gennadi Vainikko:
  The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. 1079-1095
  
• Klaus Böhmer, Willy Govaerts, Vladimír Janovský:
  Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies. 1097-1108
  
• Richard Baltensperger, Jean-Paul Berrut, Benjamin Noël:
  Exponential convergence of a linear rational interpolant between transformed Chebyshev points. 1109-1120
  
• Robert S. Anderssen, Markus Hegland:
  For numerical differentiation, dimensionality can be a blessing! 1121-1141
  
• Abraham Ziv:
  Sharp ULP rounding error bound for the hypotenuse function. 1143-1148
  
• Christopher Pinner:
  Double roots of [-1, 1] power series and related matters. 1149-1178
  
• Vincenzo Acciaro, Jürgen Klüners:
  Computing automorphisms of abelian number fields. 1179-1186
  
• J. E. Cremona, P. Serf:
  Computing the rank of elliptic curves over real quadratic number fields of class number 1. 1187-1200
  
• Shigeki Akiyama, Yoshio Tanigawa:
  Calculation of values of $L$-functions associated to elliptic curves. 1201-1231
  
• Sachar Paulus, Hans-Georg Rück:
  Real and imaginary quadratic representations of hyperelliptic function fields. 1233-1241
  
• Daniel C. Shanks, Patrick J. Sime, Lawrence C. Washington:
  Zeros of 2-adic L-functions and congruences for class numbers and fundamental units. 1243-1255
  
• Roel J. Stroeker, Benjamin M. M. de Weger:
  Elliptic binomial diophantine equations. 1257-1281
  
• Hiroshi Sekigawa, Kenji Koyama:
  Nonexistence conditions of a solution for the congruence x1^k + ... + xs^k = N (mod pⁿ). 1283-1297
  
• Lajos Hajdu, Á. Pintér:
  Square product of three integers in short intervals. 1299-1301
  
• François Bertault, Olivier Ramaré, Paul Zimmermann:
  On sums of seven cubes. 1303-1310
  
• Thomas R. Nicely:
  New maximal prime gaps and first occurrences. 1311-1315
  
• Karl-Heinz Indlekofer, Antal Járai:
  Largest known twin primes and Sophie Germain primes. 1317-1324
  

Volume 68, Number 228, 1999

• Ralf Hiptmair:
  Canonical construction of finite elements. 1325-1346
  
• Barbara I. Wohlmuth, Ronald H. W. Hoppe:
  A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements. 1347-1378
  
• Philippe Destuynder, Brigitte Métivet:
  Explicit error bounds in a conforming finite element method. 1379-1396
  
• Georg Dolzmann:
  Optimal convergence for the finite element method in Campanato spaces. 1397-1427
  
• Jinchao Xu, Ludmil Zikatanov:
  A monotone finite element scheme for convection-diffusion equations. 1429-1446
  
• Ricardo G. Durán, Luis Hervella-Nieto, Elsa Liberman, Rodolfo Rodríguez, J. Solomin:
  Approximation of the vibration modes of a plate by Reissner-Mindlin equations. 1447-1463
  
• Russel E. Caflisch, Thomas Y. Hou, John S. Lowengrub:
  Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. 1465-1496
  
• Faker Ben Belgacem, Christine Bernardi:
  Spectral element discretization of the Maxwell equations. 1497-1520
  
• Holger Wendland:
  Meshless Galerkin methods using radial basis functions. 1521-1531
  
• Wolfgang Dahmen, Reinhold Schneider:
  Composite wavelet bases for operator equations. 1533-1567
  
• Zhongying Chen, Charles A. Micchelli, Yuesheng Xu:
  A construction of interpolating wavelets on invariant sets. 1569-1587
  
• Chun-Hua Guo, Peter Lancaster:
  Iterative solution of two matrix equations. 1589-1603
  
• Benedetta Morini:
  Convergence behaviour of inexact Newton methods. 1605-1613
  
• H. G. Khajah:
  Tau method approximation of a generalized Epstein-Hubbell elliptic-type integral. 1615-1621
  
• Djurdje Cvijovic, Jacek Klinowski:
  Values of the Legendre chi and Hurwitz zeta functions at rational arguments. 1623-1630
  
• Dimitri Leemans:
  An atlas of regular thin geometries for small groups. 1631-1647
  
• Ki-ichiro Hashimoto, Hiroshi Tsunogai:
  On the Sato-Tate conjecture for QM-curves of genus two. 1649-1662
  
• Paul B. van Wamelen:
  Proving that a genus 2 curve has complex multiplication. 1663-1677
  
• Masanari Kida:
  Reduction of elliptic curves over certain real quadratic number fields. 1679-1685
  
• Nigel P. Smart:
  Determining the small solutions to S-unit equations. 1687-1699
  
• Henri Cohen, Francisco Diaz y Diaz, Michel Olivier:
  Tables of octic fields with a quartic subfield. 1701-1716
  
• Mohammad Amin Shokrollahi:
  Relative class number of imaginary Abelian fields of prime conductor below 10000. 1717-1728
  
• James McKee:
  Speeding Fermat's factoring method. 1729-1737
  
• Tony Forbes:
  Prime clusters and Cunningham chains. 1739-1747
  
• Douglas E. Iannucci:
  The second largest prime divisor of an odd perfect number exceeds ten thousand. 1749-1760
  

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