The numerical performance of Tricomi's formula for inverting the Laplace transform (Q1082055)
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scientific article; zbMATH DE number 3972145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical performance of Tricomi's formula for inverting the Laplace transform |
scientific article; zbMATH DE number 3972145 |
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The numerical performance of Tricomi's formula for inverting the Laplace transform (English)
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1987
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A method for inverting the Laplace transform which uses an expansion into Laguerre polynomials is considered. By means of a recently established generalization of the Euler-Knopp transformation the rate of convergence of the series of Laguerre polynomials is accelerated. For computing the transformed series a recursive algorithm is given. Results of theoretical and practical nature make the usefulness of the new transformation evident.
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Tricomi's formula
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Euler-Knopp transformation
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rate of convergence
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series of Laguerre polynomials
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recursive algorithm
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Laplace transform inversion
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convergence acceleration
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