A hierarchical method for obtaining eigenvalue enclosures
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- by E. B. Davies PDF
- Math. Comp. 69 (2000), 1435-1455 Request permission
Abstract:
We introduce a new method of obtaining guaranteed enclosures of the eigenvalues of a variety of self-adjoint differential and difference operators with discrete spectrum. The method is based upon subdividing the region into a number of simpler regions for which eigenvalue enclosures are already available.References
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Additional Information
- E. B. Davies
- Affiliation: Department of Mathematics, King’s College, Strand, London, WC2R 2LS, United Kingdom
- Email: E.Brian.Davies@kcl.ac.uk
- Received by editor(s): October 27, 1998
- Published electronically: March 6, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 1435-1455
- MSC (1991): Primary 34L15, 35P15, 49R05, 49R10, 65L15, 65L60, 65L70, 65N25
- DOI: https://doi.org/10.1090/S0025-5718-00-01238-2
- MathSciNet review: 1710648