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

44 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

Access to Document

10.1093/imanum/24.3.393

Cite this

@article{abf67b9b1fd643d4be0727f278ef76eb,

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",

year = "2004",

month = jul,

doi = "10.1093/imanum/24.3.393",

language = "English",

volume = "24",

pages = "393--416",

journal = "IMA Journal of Numerical Analysis",

issn = "0272-4979",

publisher = "Oxford University Press",

number = "3",

}

TY - JOUR

T1 - Spectral pollution and second-order relative spectra for self-adjoint operators

AU - Levitin, Michael

AU - Shargorodsky, Eugene

PY - 2004/7

Y1 - 2004/7

N2 - 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.

AB - 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.

U2 - 10.1093/imanum/24.3.393

DO - 10.1093/imanum/24.3.393

M3 - Article

SN - 0272-4979

VL - 24

SP - 393

EP - 416

JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

IS - 3

ER -

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

Abstract

Access to Document

Fingerprint

Cite this