Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm

被引：14

作者：

Berrut, J-P ^{[1
]}

De Marchi, S. ^{[2
]}

Elefante, G. ^{[1
]}

Marchetti, F. ^{[3
]}

机构：

[1] Univ Fribourg, Dept Math, Fribourg, Switzerland

[2] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Padua, Italy

[3] Univ Padua, Dipartimento Salute Donna & Bambino, Padua, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 103卷

关键词：

Barycentric rational interpolation; Gibbs phenomenon; Floater-Hormann interpolant; AAA algorithm; Fake nodes;

D O I：

10.1016/j.aml.2019.106196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we extend the so-called mapped bases or fake nodes approach to the barycentric rational interpolation of Floater-Hormann and to AAA approximants. More precisely, we focus on the reconstruction of discontinuous functions by the S-Gibbs algorithm introduced in De Marchi et al. (2020). Numerical tests show that it yields an accurate approximation of discontinuous functions. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：7

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