The effects of rounding errors in the nodes on barycentric interpolation

详细信息    查看全文

• 作者：Walter F. Mascarenhas ; André Pierro de Camargo
• 关键词：Mathematics Subject Classification65D05 ; 65G50
• 刊名：Numerische Mathematik
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：135
• 期：1
• 页码：113-141
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Numerical Analysis; Mathematics, general; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation; Appl.Mathematics/Comput
• 出版者：Springer Berlin Heidelberg
• ISSN：0945-3245
• 卷排序：135

文摘

We analyze the effects of rounding errors in the nodes on polynomial barycentric interpolation. These errors are particularly relevant for the first barycentric formula with the Chebyshev points of the second kind. Here, we propose a method for reducing them.