The stability of barycentric interpolation at the Chebyshev points of the second kind

被引：0
|
作者：
Walter F. Mascarenhas
机构：
[1] Universidade de São Paulo,Instituto de Matemática e Estatística
[2] Cidade Universitária,undefined
来源：
Numerische Mathematik | 2014年 / 128卷
关键词：
65D05; 65G50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present a new analysis of the stability of the first and second barycentric formulae for interpolation at the Chebyshev points of the second kind. Our theory shows that the second formula is more stable than previously thought and our experiments confirm its stability in practice.We also extend our current understanding regarding the accuracy problems of the first barycentric formula.
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页码：265 / 300
页数：35
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