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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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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.
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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