Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
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- by Amin Boumenir PDF
- Math. Comp. 68 (1999), 1057-1066 Request permission
Abstract:
We are concerned with the computation of eigenvalues of a periodic Sturm-Liouville problem using interpolation techniques in Paley-Wiener spaces. We shall approximate the Hill discriminant by sampling a few of its values and then find its zeroes which are the square roots of the eigenvalues. Computable error estimates are provided together with eigenvalue enclosures.References
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Additional Information
- Amin Boumenir
- Affiliation: Department of Mathematics, College of Sciences, Sultan Qaboos University, P.O. Box 36, Alkhod 123, Muscat, Sultanate of Oman
- MR Author ID: 288615
- Email: boumenir@squ.edu.om
- Received by editor(s): June 9, 1997
- Received by editor(s) in revised form: October 28, 1997
- Published electronically: February 10, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 68 (1999), 1057-1066
- MSC (1991): Primary 34L15, 42A15
- DOI: https://doi.org/10.1090/S0025-5718-99-01053-4
- MathSciNet review: 1627850