Orthogonal polynomials, Padé approximations and \(A\)-stability (Q1911441)
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scientific article; zbMATH DE number 871275
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal polynomials, Padé approximations and \(A\)-stability |
scientific article; zbMATH DE number 871275 |
Statements
Orthogonal polynomials, Padé approximations and \(A\)-stability (English)
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28 April 1996
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A new proof is given for the classical result by \textit{B. L. Ehle} [SIAM J. Math. Anal. 4, 671-680 (1973; Zbl 0266.65018)] that the diagonal and the first two subdiagonal Padé approximations to the exponential function are \(A\)-acceptable. The proof is based on homotopy arguments and proceeds by induction.
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Runge-Kutta methods
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Padé approximations
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\(A\)-stability
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exponential function
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\(A\)-stable methods
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