Treffer: Spectral pollution and second-order relative spectra for self-adjoint operators
Title:
Spectral pollution and second-order relative spectra for self-adjoint operators
Authors:
Source:
IMA Journal of Numerical Analysis. 24:393-416
Publication Status:
Preprint
Publisher Information:
Oxford University Press (OUP), 2004.
Publication Year:
2004
Subject Terms:
spectral pollution, self-adjoint operator, Hilbert space, Numerical Analysis (math.NA), 01 natural sciences, computation of eigenvalues, 47A75 (Primary) 65J10 (Secondary), Mathematics - Spectral Theory, 13. Climate action, Numerical solutions to equations with linear operators, projection methods, FOS: Mathematics, Mathematics - Numerical Analysis, Spectrum, resolvent, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Spectral Theory (math.SP)
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
1464-3642
0272-4979
0272-4979
DOI:
10.1093/imanum/24.3.393
DOI:
10.48550/arxiv.math/0212087
Access URL:
http://arxiv.org/pdf/math/0212087
http://arxiv.org/abs/math/0212087
https://academic.oup.com/imajna/article/24/3/393/702189
https://core.ac.uk/display/29875332
https://www.arxiv-vanity.com/papers/math/0212087/
https://researchportal.hw.ac.uk/en/publications/spectral-pollution-and-second-order-relative-spectra-for-self-adj
http://arxiv.org/abs/math/0212087
https://academic.oup.com/imajna/article/24/3/393/702189
https://core.ac.uk/display/29875332
https://www.arxiv-vanity.com/papers/math/0212087/
https://researchportal.hw.ac.uk/en/publications/spectral-pollution-and-second-order-relative-spectra-for-self-adj
Rights:
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....2d897e1cc795dd3d39e0e2d95f54780a
Database:
OpenAIRE
Weitere Informationen
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.
36 pages, 18 figures, AMS-LaTeX