Function-valued Padé-type approximant via the formal orthogonal polynomials and its applications in solving integral equations (Q950081)
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scientific article; zbMATH DE number 5355636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Function-valued Padé-type approximant via the formal orthogonal polynomials and its applications in solving integral equations |
scientific article; zbMATH DE number 5355636 |
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Function-valued Padé-type approximant via the formal orthogonal polynomials and its applications in solving integral equations (English)
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22 October 2008
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The authors describe a new method for the approximation of eigenvalues and the corresponding eigenfunctions of Fredholm integral operators. The method is based on a generalized version of Padé approximation. The algorithm is described in great detail. Moreover, for the purpose of comparison, many examples problems are solved both with the new method and a number of well known older methods. A theoretical analysis of the new scheme is not given.
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Padé approximant
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formal orthogonal polynomial
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Neumann series
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Fredholm integral equation
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characteristic value
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convergence acceleration
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numerical examples
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eigenvalues
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eigenfunctions
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algorithm
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