Convergence rates of derivatives of a family of barycentric rational interpolants
- Berrut, Jean-Paul Department of Mathematics, University of Fribourg, Switzerland
- Floater, Michael S. Centre of Mathematics for Applications, Department of Informatics, University of Oslo, Norway
- Klein, Georges Department of Mathematics, University of Fribourg, Switzerland
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05.05.2011
Published in:
- Applied Numerical Mathematics. - 2011, vol. 61, no. 9, p. 989-1000
English
In polynomial and spline interpolation the k-th derivative of the interpolant, as a function of the mesh size h, typically converges at the rate of O(hd+1−k) as h→0, where d is the degree of the polynomial or spline. In this paper we establish, in the important cases k=1,2, the same convergence rate for a recently proposed family of barycentric rational interpolants based on blending polynomial interpolants of degree d.
- 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 22516
- DOI 10.1016/j.apnum.2011.05.001
- Persistent URL
- https://folia.unifr.ch/unifr/documents/301839
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