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

@article{Levitin2002SpectralPA,
title={Spectral pollution and second-order relative spectra for self-adjoint operators},
author={Michael Levitin and Eugene Shargorodsky},
journal={Ima Journal of Numerical Analysis},
year={2002},
volume={24},
pages={393-416}
}
• Published 2002
• Mathematics
• Ima Journal of Numerical Analysis
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.