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October 2009 Numerical Verification Method for Infinite Dimensional Eigenvalue Problems
Kaori Nagatou
Japan J. Indust. Appl. Math. 26(2-3): 477-491 (October 2009).

Abstract

We consider an eigenvalue problem for differential operators, and show how guaranteed bounds for eigenvalues (together with eigenvectors) are obtained and how non-existence of eigenvalues in a concrete region can be assured. Some examples for several types of operators will be presented.

Citation

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Kaori Nagatou. "Numerical Verification Method for Infinite Dimensional Eigenvalue Problems." Japan J. Indust. Appl. Math. 26 (2-3) 477 - 491, October 2009.

Information

Published: October 2009
First available in Project Euclid: 1 February 2010

zbMATH: 1184.65057
MathSciNet: MR2589486

Keywords: error estimates , infinite dimensional eigenvalue problem , numerical verification method

Rights: Copyright © 2009 The Japan Society for Industrial and Applied Mathematics

Vol.26 • No. 2-3 • October 2009
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