The method of generations for estimating the first eigenvalue of the Dirichlet problem (Q1323971)
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scientific article; zbMATH DE number 584183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of generations for estimating the first eigenvalue of the Dirichlet problem |
scientific article; zbMATH DE number 584183 |
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The method of generations for estimating the first eigenvalue of the Dirichlet problem (English)
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6 July 1994
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A combination of the ``method of generations'' and the ``Monte Carlo method for Green's function'' is used to compute the first eigenvalue of the Dirichlet problem for a class of selfadjoint elliptic operators. An estimate is constructed which has a systematic error of the order of \(N^{-1}\), where \(N\) is the number of particles in the method of generations.
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error estimate
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method of generations
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Monte Carlo method
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Green's function
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first eigenvalue
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Dirichlet problem
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selfadjoint elliptic operators
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