Recent advances in linear barycentric rational interpolation

被引：67
|
作者：
Berrut, Jean-Paul [1 ]
Klein, Georges [1 ]
机构：
[1] Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 259卷
关键词：
Linear rational interpolation; Barycentric form; Lebesgue constant; Differentiation; Quadrature; Equispaced nodes; LEBESGUE CONSTANT; CONVERGENCE-RATES; DERIVATIVES; STABILITY; LAGRANGE;
D O I：
10.1016/j.cam.2013.03.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2013 Elsevier B.V. All rights reserved.
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页码：95 / 107
页数：13
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