Rational approximation in the complex plane using a \(\tau\)-method and computer algebra (Q1385151)
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scientific article; zbMATH DE number 1146032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational approximation in the complex plane using a \(\tau\)-method and computer algebra |
scientific article; zbMATH DE number 1146032 |
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Rational approximation in the complex plane using a \(\tau\)-method and computer algebra (English)
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23 June 1998
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The Cauchy problem for systems of linear ordinary differential equations with polynomial coefficients on the complex plane is treated. An adapted Lanczos \(\tau\)-method is derived for global rational approximation of the solution. The method is based on the properties of the Chebyshev series and symbolic computation. Examples are given.
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numerical examples
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Cauchy problem
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systems of linear ordinary differential equations
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polynomial coefficients
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Lanczos \(\tau\)-method
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Chebyshev series
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symbolic computation
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