The origin and nature of spurious eigenvalues in the spectral tau method

被引：24

作者：

Dawkins, PT

Dunbar, SR ^{[1
]}

Douglass, RW

机构：

[1] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA

[2] Lamar Univ, Dept Math, Beaumont, TX 77710 USA

[3] Idaho Natl Engn Lab, Idaho Falls, ID 83415 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1998年 / 147卷 / 02期

关键词：

spectral methods; Chebyshev-tau method; spurious eigenvalues; generalized eigenvalue problems;

D O I：

10.1006/jcph.1998.6095

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The Chebyshev-tau spectral method for approximating eigenvalues of boundary value problems may produce spurious eigenvalues with large positive real parts, even when all true eigenvalues of the problem are known to have negative real parts. We explain the origin and nature of the "spurious eigenvalues" in an example problem. The explanation will demonstrate that the large positive eigenvalues are an approximation of infinite eigenvalues in a nearby generalized eigenvalue problem. (C) 1998 Academic Press.

引用

页码：441 / 462

页数：22

共 25 条

[11]

Gottlieb D., 1977, NUMERICAL ANAL SPECT

[12]

Gradshteyn IS, 1969, TABLES INTEGRALS SER

[13] THE PSEUDOSPECTRAL METHOD FOR SOLVING DIFFERENTIAL EIGENVALUE PROBLEMS [J].