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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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Correction of Sturm-Liouville eigenvalue estimates
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by J. Paine PDF
Math. Comp. 39 (1982), 415-420 Request permission

Abstract:

The error in the Sturm-Liouville eigenvalue estimates obtained by replacing the coefficient function with a piecewise constant interpolate is not uniform. In this paper we present a method for correcting these estimates to obtain a uniform approximation of all eigenvalues.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 415-420
  • MSC: Primary 65L15
  • DOI: https://doi.org/10.1090/S0025-5718-1982-0669636-4
  • MathSciNet review: 669636