Linear rational finite differences from derivatives of barycentric rational interpolants
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Klein, Georges
Department of Mathematics, University of Fribourg, Switzerland
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Berrut, Jean-Paul
Department of Mathematics, University of Fribourg, Switzerland
Published in:
- SIAM Journal on Numerical Analysis. - 2012, vol. 50, no. 2, p. 643–656
English
Derivatives of polynomial interpolants lead in a natural way to approximations of derivatives of the interpolated function, e.g., through finite differences. We extend a study of the approximation of derivatives of linear barycentric rational interpolants and present improved finite difference formulas arising from these interpolants. The formulas contain the classical finite differences as a special case and are more stable for calculating one-sided derivatives as well as derivatives close to boundaries.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Mathématiques
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Language
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Classification
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Mathematics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/302512
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