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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El-Daou, M.K., Al Enezi, S.S. & Mekkaoui, M.M. Correction of eigenvalues estimated by the Legendre–Gauss Tau method. Numer Algor 64, 203–220 (2013). https://doi.org/10.1007/s11075-012-9660-0
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DOI: https://doi.org/10.1007/s11075-012-9660-0