A domain decomposition method for generating orthogonal polynomials for a Gaussian weight on a finite interval (Q1186206)
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scientific article; zbMATH DE number 36328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A domain decomposition method for generating orthogonal polynomials for a Gaussian weight on a finite interval |
scientific article; zbMATH DE number 36328 |
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A domain decomposition method for generating orthogonal polynomials for a Gaussian weight on a finite interval (English)
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28 June 1992
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A domain decomposition method is developed for generating orthogonal polynomials for a Gaussian weight on \((-1,1)\). Section 2 defines the problem of generating orthogonal polynomials given just the weight. Section 3 reviews the ``modified moments'' method. Sections 4 and 5 develop the domain decomposition method and give the algorithm. Section 6 shows some computational results and discusses the effectiveness of the preconditioning polynomial subspace.
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numerical examples
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modified moments method
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domain decomposition method
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orthogonal polynomials
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Gaussian weight
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algorithm
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preconditioning polynomial subspace
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0.8885877
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0.87569577
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0.8606045
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0.85842717
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