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ORCIDMathematics of Computation, Volume 70
Volume 70, Number 233, 2001
- Timo 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, Jessica 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, Giovanni 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 - Juan Carlos 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 - Peter 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 G. 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, Weinan E:
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 - Aaron 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 E. 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 Zm. 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 E. Shparlinski:
On the distribution of inversive congruential pseudorandom numbers in parts of the period. 1569-1574 - John B. Friedlander, Igor E. Shparlinski:
On the distribution of the power generator. 1575-1589 - John B. Friedlander, Carl Pomerance, Igor E. 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 - Francisco 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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