Error bounds for polynomial tensor product interpolation

被引：0

作者：

Bernhard Mößner

Ulrich Reif

机构：

[1] Technische Universität Darmstadt,

来源：

Computing | 2009年 / 86卷

关键词：

Interpolation; Multivariate polynomial; Error estimate; 41A05; 65D05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We provide estimates for the maximum error of polynomial tensor product interpolation on regular grids in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}^d}$$\end{document}. The set of partial derivatives required to form these bounds depends on the clustering of interpolation nodes. Also bounds on the partial derivatives of the error are derived.

引用

页码：185 / 197

页数：12