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

作     者：Berrut, J-P De Marchi, S. Elefante, G. Marchetti, F. 

作者机构：Univ Fribourg Dept Math Fribourg Switzerland Univ Padua Dipartimento Matemat Tullio Levi Civita Padua Italy Univ Padua Dipartimento Salute Donna & Bambino Padua Italy 

出 版 物：《APPLIED MATHEMATICS LETTERS》 (应用数学快报)

年 卷 期：2020年第103卷第0期

页      面：106196-000页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：GNCS-INdAM funds 2019 NATIRESCO project [BIRD181249] 

主　　题：Barycentric rational interpolation Gibbs phenomenon Floater-Hormann interpolant AAA algorithm Fake nodes 

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.