Mathematics of Computation, Volume 70

Volume 70, Number 233, 2001

• T. Tiihonen:
  Shape calculus and finite element method in smooth domains. 1-15
  
• Jinchao Xu, Aihui Zhou:
  A two-grid discretization scheme for eigenvalue problems. 17-25
  
• Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
  Adaptive wavelet methods for elliptic operator equations: Convergence rates. 27-75
  
• Paul Houston, Endre Süli:
  Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems. 77-106
  
• Sergey Korotov, Michal Krízek, Pekka Neittaanmäki:
  Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. 107-119
  
• A. M. Davie, 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
  
• Asen L. Dontchev, William W. Hager:
  The Euler approximation in state constrained optimal control. 173-203
  
• Aeyoung Park Jang, Seymour Haber:
  Numerical indefinite integration of functions with singularities. 205-221
  
• Stefan A. Sauter, Christian Lage:
  Transformation of hypersingular integrals and black-box cubature. 223-250
  
• Giuseppe Mastroianni, G. Monegato:
  Error estimates in the numerical evaluation of some BEM singular integrals. 251-267
  
• Sangwoo Heo, 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
  
• Anargyros Papageorgiou:
  Fast convergence of quasi-Monte Carlo for a class of isotropic integrals. 297-306
  
• Martin D. Buhmann:
  A new class of radial basis functions with compact support. 307-318
  
• Jean-Pierre Dedieu, 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, Kai-Tai Fang, Fred J. Hickernell, Runze Li:
  Testing multivariate uniformity and its applications. 337-355
  
• Peter Gaal, Solomon W. Golomb:
  Exhaustive determination of (1023, 511, 255)-cyclic difference sets. 357-366
  
• Emmanuel Peyre, 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, Joël Rivat:
  Explicit upper bounds for exponential sums over primes. 431-447
  

Volume 70, Number 234, 2001

• James H. Bramble, 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, Xue-Cheng Tai, Ragnar Winther:
  A robust nonconforming H²-element. 489-505
  
• P. Monk, Leszek F. Demkowicz:
  Discrete compactness and the approximation of Maxwell's equations in R³. 507-523
  
• Javier de Frutos, Rafael Muñoz-Sola:
  On error estimates for Galerkin spectral discretizations of parabolic problems with nonsmooth initial data. 525-531
  
• Theodoros Katsaounis, Charalambos Makridakis:
  Finite volume relaxation schemes for multidimensional conservation laws. 533-553
  
• Laurent Gosse, Athanasios E. Tzavaras:
  Convergence of relaxation schemes to the equations of elastodynamics. 555-577
  
• Jian-Guo Liu, E. Weinan:
  Simple finite element method in vorticity formulation for incompressible flows. 579-593
  
• Jian-Guo Liu, 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, 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 Bojanov, Dimitar K. Dimitrov:
  Gaussian extended cubature formulae for polyharmonic functions. 671-683
  
• Grzegorz W. Wasilkowski, Henryk Wozniakowski:
  On the complexity of stochastic integration. 685-698
  
• Tim Gutzmer, Jens Markus Melenk:
  Approximation orders for natural splines in arbitrary dimensions. 699-703
  
• Marek Beska, Karol Dziedziul:
  Saturation theorems for interpolation and the Bernstein-Schnabl operator. 705-717
  
• Michael J. Johnson:
  The L₂-approximation order of surface spline interpolation. 719-737
  
• Karsten Urban:
  Wavelet bases in H(div) and H(curl). 739-766
  
• Tiejun Li, 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 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, 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
  
• Chris Charnes, Ulrich 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 Erdos and Stewart. 893-896
  

Volume 70, Number 235, 2001

• Wolfgang Hoffmann, Alfred H. Schatz, Lars B. Wahlbin, Gabriel 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, L. Donatella Marini:
  Error estimates for the three-field formulation with bubble stabilization. 911-934
  
• Andrea Toselli, Olof B. Widlund, Barbara I. Wohlmuth:
  An iterative substructuring method for Maxwell's equations in two dimensions. 935-949
  
• Thomas Y. Hou, 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
  
• Mahadevan Ganesh, Olaf 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
  
• Bert Jüttler:
  Hermite interpolation by Pythagorean hodograph curves of degree seven. 1089-1111
  
• Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward:
  Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. 1113-1130
  
• Alexander G. Ramm, Alexandra B. Smirnova:
  On stable numerical differentiation. 1131-1153
  
• Yu-Hong Dai, Ya-Xiang Yuan:
  A three-parameter family of nonlinear conjugate gradient methods. 1155-1167
  
• Dario Bini, Gianna M. Del Corso, Giovanni Manzini, Luciano Margara:
  Inversion of circulant matrices over Z_m. 1169-1182
  
• Amparo Gil, Javier Segura, Nico M. Temme:
  On nonoscillating integrals for computing inhomogeneous Airy functions. 1183-1194
  
• Yoshinori Miyazaki, Yasushi Kikuchi, DongSheng Cai, 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, 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, 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
  
• Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams:
  Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than 100 000 000 000. 1311-1328
  
• Stefan Battiato, Walter Borho:
  Breeding amicable numbers in abundance. II. 1329-1333
  

Volume 70, Number 236, 2001

• Carsten Carstensen, 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, Roland Masson:
  Stabilized wavelet approximations of the Stokes problem. 1397-1416
  
• Laurence Halpern:
  A spectral method for the Stokes problem in three-dimensional unbounded domains. 1417-1436
  
• Houde Han, Weizhu Bao:
  Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. 1437-1459
  
• Gabriel N. Gatica, 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
  
• Heike Faßbender:
  The parameterized SR algorithm for symplectic (butterfly) matrices. 1515-1541
  
• Len P. Bos, Mark A. Taylor, Beth A. Wingate:
  Tensor product Gauss-Lobatto points are Fekete points for the cube. 1543-1547
  
• Ronald Cools, James N. Lyness:
  Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree. 1549-1567
  
• Harald Niederreiter, Igor Shparlinski:
  On the distribution of inversive congruential pseudorandom numbers in parts of the period. 1569-1574
  
• John Friedlander, Igor Shparlinski:
  On the distribution of the power generator. 1575-1589
  
• John Friedlander, Carl Pomerance, Igor 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, 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, Franck Leprévost, Edward F. Schaefer, William A. Stein, Michael Stoll, 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, Keiichi Komatsu:
  On Iwasawa lambda₃-invariants of cyclic cubic fields of prime conductor. 1707-1712
  
• David A. Clark, Norman C. Jarvis:
  Dense admissible sequences. 1713-1718
  
• David H. Bailey, David John 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 * 10¹⁴. 1745-1749
  

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