Spectral pollution

被引：66

作者：

Davies, EB ^{[1
]}

Plum, M

机构：

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

[2] Univ Karlsruhe, Inst Math 1, D-76128 Karlsruhe, Germany

来源：

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

关键词：

spectral pollution; self-adjoint operator; spectrum; spurious eignvalues; spectal enclosures;

D O I：

10.1093/imanum/24.3.417

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that routine methods of computing the spectrum of a self-adjoint operator often lead to spurious eigenvalues in a gap between two parts of the essential spectrum. We provide a geometrical explanation for a numerical method of resolving this problem, and give some examples of its use.

引用

页码：417 / 438

页数：22