A Hierarchical Method for obtaining Eigenvalue Enclusures
Spectral Theory
2007-05-23 v2 Analysis of PDEs
Abstract
We propose a method for obtaining rigorous and accurate upper and lower bounds on the eigenvalues of ordinary and partial differential operators in bounded regions of Euclidean space. It uses a boundary condition homotopy method starting from a decomposition of the region into several simpler regions for which the eigenvalues can already be computed accurately. Several numerical examples are presented.
Cite
@article{arxiv.math/9803075,
title = {A Hierarchical Method for obtaining Eigenvalue Enclusures},
author = {E B Davies},
journal= {arXiv preprint arXiv:math/9803075},
year = {2007}
}