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A Convergent Family of Bivariate Floater-Hormann Rational Interpolants

A Convergent Family of Bivariate Floater-Hormann Rational Interpolants It is well-known that the Floater-Hormann rational interpolants give better results than other rational interpolants, especially in convergence rates and barycentric form. In this paper, we propose and study a family of bivariate Floater-Hormann rational interpolants, which have no real poles and arbitrarily high convergence rates on any rectangular region. Moreover, these interpolants are linear on data. In the end, several numerical examples further confirm our results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

A Convergent Family of Bivariate Floater-Hormann Rational Interpolants

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References (18)

Publisher
Springer Journals
Copyright
Copyright © Springer-Verlag GmbH Germany, part of Springer Nature 2020
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-020-00334-9
Publisher site
See Article on Publisher Site

Abstract

It is well-known that the Floater-Hormann rational interpolants give better results than other rational interpolants, especially in convergence rates and barycentric form. In this paper, we propose and study a family of bivariate Floater-Hormann rational interpolants, which have no real poles and arbitrarily high convergence rates on any rectangular region. Moreover, these interpolants are linear on data. In the end, several numerical examples further confirm our results.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jul 18, 2020

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