Error estimates for interpolation of rough data using the scattered shifts of a radial basis function

被引：3

作者：

Brownlee, RA ^{[1
]}

机构：

[1] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England

来源：

NUMERICAL ALGORITHMS | 2005年 / 39卷 / 1-3期

关键词：

scattered data interpolation; radial basis functions; error estimates; rough functions;

D O I：

10.1007/s11075-004-3620-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R-d stop, is a well studied artifact. In all of these cases, the analysis takes place in a natural function space dictated by the choice of radial basis function - the native space. The native space contains functions possessing a certain amount of smoothness. This paper establishes error estimates when the function being interpolated is conspicuously rough.

引用

页码：57 / 68

页数：12

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