Generation of pseudospectral differentiation matrices .1.

被引：87

作者：

Welfert, BD

机构：

[1] Department of Mathematics, Arizona State University, Tempe

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1997年 / 34卷 / 04期

关键词：

pseudospectral methods; collocation polynomials;

D O I：

10.1137/S0036142993295545

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a simple method for computing n x n pseudospectral differentiation matrices of order p in O(pn(2)) operations for the case of quasi-polynomial approximation. The algorithm is based on Fornberg's finite difference algorithm and is numerically stable. A Fortran implementation is included. A necessary and sufficient condition for D-p = D-1(p) is also given.

引用

页码：1640 / 1657

页数：18

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