Numerische Behandlung singulärer Sturm-Liouville-Probleme |
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Authors: | Dr. Frank Natterer |
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Affiliation: | (1) Rechenzentrum der Universität, Rothenbaumchaussee 81, 13 2 Hamburg |
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Abstract: | Summary Generalizing the method of Wendroff [9] and using an estimate for the square integral of a normed eigenfunction outside a compact set, bounds are obtained for the eigenvalues of singular Sturm-Liouville problems from a finite difference method. The number of mesh points necessary to obtain. the accuracy behaves like –&frac; ln if tends to zero. Some numerical examples are given. |
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