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

Michael Levitin; Eugene Shargorodsky

doi:10.1093/imanum/24.3.393

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

Michael Levitin, Eugene Shargorodsky

Research output: Contribution to journal › Article › peer-review

45 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 language	English
Pages (from-to)	393-416
Number of pages	24
Journal	IMA Journal of Numerical Analysis
Volume	24
Issue number	3
DOIs	https://doi.org/10.1093/imanum/24.3.393
Publication status	Published - Jul 2004

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title = "Spectral pollution and second-order relative spectra for self-adjoint operators",

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.",

author = "Michael Levitin and Eugene Shargorodsky",

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AU - Shargorodsky, Eugene

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DO - 10.1093/imanum/24.3.393

M3 - Article

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JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

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

Abstract

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