Recent advances in linear barycentric rational interpolation
- Berrut, Jean-Paul Département de Mathématiques, Université de Fribourg, Switzerland
- Klein, Georges Département de Mathématiques, Université de Fribourg, Switzerland
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15.03.2014
Published in:
- Journal of Computational and Applied Mathematics. - 2014, vol. 259, Part A, p. 95–107
Linear rational interpolation
Barycentric form
Lebesgue constant
Differentiation
Quadrature
Equispaced nodes
English
Well-conditioned, stable and infinitely smooth interpolation in arbitrary nodes is by no means a trivial task, even in the univariate setting considered here; already the most important case, equispaced points, is not obvious. Certain approaches have nevertheless experienced significant developments in the last decades. In this paper we review one of them, linear barycentric rational interpolation, as well as some of its applications.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 210090
- DOI 10.1016/j.cam.2013.03.044
- Persistent URL
- https://folia.unifr.ch/unifr/documents/303651
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