Improved accuracy of Lp-approximation to derivatives by radial basis function interpolation

被引：1
|
作者：
Yoon, JH
机构：
[1] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
[2] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 161卷 / 01期
关键词：
radial basis function; interpolation; Sobolev space; multiquadric; shifted surface spline;
D O I：
10.1016/j.amc.2003.12.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper considers the approximation to a function and its derivatives by radial basis function interpolation and its derivatives respectively on the Sobolev space. It is known that due to edge effects, we lose some accuracy near the boundary. Thus, the goal of this paper is to show that the convergence rate of the approximation error can be at least doubled when a certain boundary condition is met. (C) 2003 Elsevier Inc. All rights reserved.
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页码：109 / 119
页数：11
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