Spectral Pollution
Spectral Theory
2007-05-23 v1 Analysis of PDEs
Abstract
We discuss the problems arising when computing eigenvalues of self-adjoint operators which lie in a gap between two parts of the essential spectrum. Spectral pollution, i.e. the apparent existence of eigenvalues in numerical computations, when no such eigenvalues actually exist, is commonplace in problems arising in applied mathematics. We describe a geometrically inspired method which avoids this difficulty, and show that it yields the same results as an algorithm of Zimmermann and Mertins.
Cite
@article{arxiv.math/0302145,
title = {Spectral Pollution},
author = {E B Davies and M Plum},
journal= {arXiv preprint arXiv:math/0302145},
year = {2007}
}
Comments
23 pages