Accurate approximation of eigenvalues and zeros of selected eigenfunctions of regular Sturm-Liouville problems
Author:
Eugene C. Gartland
Journal:
Math. Comp. 42 (1984), 427-439
MSC:
Primary 65L15
DOI:
https://doi.org/10.1090/S0025-5718-1984-0736445-9
MathSciNet review:
736445
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Abstract: A method for simultaneously approximating to high accuracy the corresponding eigenvalue and zeros of the 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.
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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1984-0736445-9
Keywords:
Eigenvalues,
zeros of eigenfunctions,
Sturm-Liouville problems
Article copyright:
© Copyright 1984
American Mathematical Society