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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Accurate approximation of eigenvalues and zeros of selected eigenfunctions of regular Sturm-Liouville problems
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by Eugene C. Gartland PDF
Math. Comp. 42 (1984), 427-439 Request permission

Abstract:

A method for simultaneously approximating to high accuracy the corresponding eigenvalue and zeros of the $(n + 1)$st eigenfunction of a regular Sturm-Liouville eigenvalue problem is presented. It is based upon equilibrating the minimum eigenvalues of several problems on subintervals that form a partition of the orginal interval. The method is easily derived from classical mini-max variational principles. The equilibration is accomplished iteratively using an approximate Newton Method. Numerical results are given.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 42 (1984), 427-439
  • MSC: Primary 65L15
  • DOI: https://doi.org/10.1090/S0025-5718-1984-0736445-9
  • MathSciNet review: 736445