Spectral pollution and second order relative spectra for self-adjoint operators
Spectral Theory
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.math/0212087,
title = {Spectral pollution and second order relative spectra for self-adjoint operators},
author = {Michael Levitin and Eugene Shargorodsky},
journal= {arXiv preprint arXiv:math/0212087},
year = {2025}
}
Comments
36 pages, 18 figures, AMS-LaTeX