The errors in calculating the pseudospectral differentiation matrices for Cebysev-Gauss-Lobatto points

被引：68

作者：

Baltensperger, R ^{[1
]}

Berrut, JP ^{[1
]}

机构：

[1] Univ Fribourg, Inst Math, CH-1700 Fribourg, Switzerland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 01期

关键词：

spectral methods; differentiation matrix; Cebysev points; roundoff error; barycentric formula;

D O I：

10.1016/S0898-1221(98)00240-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss here the errors incurred using the standard formula for calculating the pseudospectral differentiation matrices for Cebysev-Gauss-Lobatto points. We propose explanations for these errors and suggest more precise methods for calculating the derivatives and their matrices. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：41 / 48

页数：8

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