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Higher Approximation of Eigenvalues by the Sampling Method

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Abstract

We study the rate of convergence of the sampling method, which deals with the computation of eigenvalues of regular Sturm-Liouville problems. Using computable error bounds we obtain eigenvalue enclosures in a simple way. Numerical examples are also provided.

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  1. Department of Mathematics, Sultan Qaboos University, PO Box 36, ALKHOD, 123, Sultanate of Oman.

    Amin Boumenir

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  1. Amin Boumenir
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Boumenir, A. Higher Approximation of Eigenvalues by the Sampling Method. BIT Numerical Mathematics 40, 215–225 (2000). https://doi.org/10.1023/A:1022334806027

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