A preconditioned implementation of pseudospectral methods on arbitrary grids

被引：9

作者：

Ghoreishi, F ^{[1
]}

Hosseini, SM ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Dept Math, Tehran, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 148卷 / 01期

关键词：

pseudospectral method; preconditioner; arbitrary grids; eigenvalues spectrum;

D O I：

10.1016/S0096-3003(02)00823-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article a preconditioner for pseudospectral methods in terms of expansion coefficients on arbitrary grids is presented. The preconditioner is first,developed for application in ordinary differential equations and then is generalized for partial differential equations. A fully discrete pseudospectral approximation is then used to solve bivariate problems. This preconditioner, in effect, makes the pseudospectral methods insensitive to specific grid points. The numerical results show the efficiency of the method. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：15 / 34

页数：20

共 14 条

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Abramowitz M., 1972, HDB MATH FUNCTIONS

[2] MULTIPOLE EXPANSIONS AND PSEUDOSPECTRAL CARDINAL FUNCTIONS - A NEW GENERALIZATION OF THE FAST FOURIER-TRANSFORM [J].