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

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

2002-12-05

arxiv.org/abs/math/0212087v1

Mathematics

Spectral Theory

36 pages, 18 figures, AMS-LaTeX

Scientific paper

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.

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