Approximation of parabolic PDEs on spheres using spherical basis functions

被引：33

作者：

Le Gia, QT ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2005年 / 22卷 / 04期

关键词：

heat equation; radial basis functions; collocation method; spheres;

D O I：

10.1007/s10444-003-3960-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the approximation of a class of parabolic partial differential equations on the unit spheres S-n subset of Rn+1 using spherical basis functions. Error estimates in the Sobolev norm are derived.

引用

页码：377 / 397

页数：21

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