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Correction of Sturm-Liouville eigenvalue estimates


Author: J. Paine
Journal: Math. Comp. 39 (1982), 415-420
MSC: Primary 65L15
DOI: https://doi.org/10.1090/S0025-5718-1982-0669636-4
Correction: Math. Comp. 39 (1982), 415-420.
Original Article: Math. Comp. 39 (1982), 415-420.
MathSciNet review: 669636
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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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DOI: https://doi.org/10.1090/S0025-5718-1982-0669636-4
Article copyright: © Copyright 1982 American Mathematical Society