29723
20150420164414.0
oai:doc.rero.ch:20120904093334-EO
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eng
51
Klein, Georges
Department of Mathematics, University of Fribourg, Switzerland
eng
Linear rational finite differences from derivatives of barycentric rational interpolants
2012-04-04
eng
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.
eng
linear rational interpolation ; barycentric form ; high order derivatives ; finite differences
Berrut, Jean-Paul
Department of Mathematics, University of Fribourg, Switzerland
SIAM Journal on Numerical Analysis
2012/50/2/643–656
http://dx.doi.org/10.1137/110827156
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Faculté des sciences
Mathématiques
Décanat, Ch. du Musée 6A, 1700 Fribourg
Université de Fribourg
Fribourg
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