SOLUTIONS TO PSEUDODIFFERENTIAL EQUATIONS USING SPHERICAL RADIAL BASIS FUNCTIONS

被引：3
|
作者：
Pham, T. D. [1 ]
Tran, T. [1 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 79卷 / 03期
关键词：
pseudodifferential equation; sphere; radial basis function; collocation method; POSITIVE-DEFINITE FUNCTIONS;
D O I：
10.1017/S0004972709000069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Spherical radial basis functions are used to define approximate solutions to pseudodifferential equations of negative order on the unit sphere. These equations arise from geodesy. The approximate solutions are found by the collocation method. A salient feature of our approach in this paper is a simple error analysis for the collocation method using the same argument as that for the Galerkin method.
引用
收藏
页码：473 / 485
页数：13
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