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

Michael Levitin, Eugene Shargorodsky

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We consider the phenomenon of spectral pollution arising in calculation of spectra of selfadjoint 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.

Original languageEnglish
Pages (from-to)393-416
Number of pages24
JournalIMA Journal of Numerical Analysis
Volume24
Issue number3
DOIs
Publication statusPublished - Jul 2004

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