Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation (Q1008314)
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scientific article; zbMATH DE number 5534477
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation |
scientific article; zbMATH DE number 5534477 |
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Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation (English)
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27 March 2009
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The authors introduce a special class of radial basis functions, the so called atomic functions, and use them to solve the Dirichlet problem for Laplace's equation on a rectangle. An outline of the proof of the convergence is carried out.
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Laplace equation
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Dirichlet problem
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radial basis functions
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Fourier series
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Bessel functions
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atomic functions
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convergence
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