Spectral pollution and second order relative spectra for self-adjoint operators
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2002
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| _version_ | 1866912655420162048 |
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| author | Levitin, Michael Shargorodsky, Eugene |
| author_facet | Levitin, Michael Shargorodsky, Eugene |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0212087 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | Spectral pollution and second order relative spectra for self-adjoint operators Levitin, Michael Shargorodsky, Eugene Spectral Theory Numerical Analysis 47A75 (Primary) 65J10 (Secondary) 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. |
| title | Spectral pollution and second order relative spectra for self-adjoint operators |
| topic | Spectral Theory Numerical Analysis 47A75 (Primary) 65J10 (Secondary) |
| url | https://arxiv.org/abs/math/0212087 |