Spectral approximation of third-order problems

被引：11

作者：

Heinrichs W. ^{[1
]}

机构：

[1] Universität GH Essen, Ingenieurmathematik (FB 10), D-45117 Essen

来源：

Journal of Scientific Computing | 1999年 / 14卷 / 3期

关键词：

Pseudospectral; collocation; third-order problems; eigenvalues; preconditioning;

D O I：

10.1023/A:1023221619567

中图分类号：

学科分类号：

摘要：

We consider the pseudospectral approximation of third-order problems. The spectral operator is constructed. An eigenvalue analysis with the calculation on the characteristic polynomial is presented. The eigenvalues of the spectral operator are numerically determined. An efficient preconditioner based on finite differences is constructed. Numerical results are presented.

引用

页码：275 / 289

页数：14

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