Spectral pollution and second-order relative spectra for self-adjoint operators

被引：45

作者：

Levitin, M ^{[1
]}

Shargorodsky, E

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2004年 / 24卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

computation of eigenvalues; projection methods; spectral pollution; spurious eigenvalues;

D O I：

10.1093/imanum/24.3.393

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the phenomenon of spectral pollution arising in calculation of spectra of self-adjoint operators by projection methods. We suggest a strategy of dealing with spectral pollution by using the so-called second-order relative spectra. The effectiveness of the method is illustrated by a detailed analysis of two model examples.

引用

页码：393 / 416

页数：24

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