Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
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Open Access
- 10 February 1999
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 68 (227) , 1057-1066
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.Keywords
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