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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1016/0025-326x(94)90157-0

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1572-9265

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Correction of eigenvalues estimated by the Legendr

Authors: Mohamed K ElDaou Suad Sh Al Enezi Mona M Mekkaoui
Publish Date: 2012/11/25
Volume: 64, Issue: 2, Pages: 203-220
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Abstract

It is known that the accuracy in estimating a large number of eigenvalues deteriorates when the standard numerical methods are applied because of the sharp oscillatory behavior of the corresponding eigenfunctions One method which has proved to be efficient in treating such problems is the Legendre–Gauss Tau method In this paper we present an exponentially fitted version of this method and we develop practical formulae to correct the estimated eigenvalues

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