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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
, Jesús María Sanz-Serna:
A shadowing result with applications to finite element approximation of reaction-diffusion equations. 55-72 - Cesáreo González, Cesar Palencia:
Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case. 73-89 - Christoph Schwab, Wolfgang 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 - Xinghua Wang:
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
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 Luis 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 kth 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 Noëlle 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 - Patrick Le Tallec, Moulay 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
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 Lrho error estimates for Galerkin approximations to porous medium and fast diffusion equations. 971-989 - So-Hsiang Chou, Panayot S. 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
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. 1079-1095 - Klaus Böhmer, Willy Govaerts
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 G. 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
Nonexistence conditions of a solution for the congruence x1k + ... + xsk = N (mod pn). 1283-1297 - Lajos Hajdu, Ákos 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 T. Zikatanov
A monotone finite element scheme for convection-diffusion equations. 1429-1446 - Ricardo G. Durán, Luis Hervella-Nieto
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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