On analysis of kernel collocation methods for spherical PDEs

被引：2
|
作者：
Mirzaei, Davoud [1 ,2 ]
机构：
[1] Univ Isfahan, Dept Math, Esfahan 8174673441, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran
来源：
APPLIED NUMERICAL MATHEMATICS | 2020年 / 150卷
关键词：
Partial differential equations; Collocation method; Zonal kernels; Sobolev spaces; Error analysis; SCATTERED DATA INTERPOLATION; DATA APPROXIMATION SCHEME; MESHLESS COLLOCATION; PSEUDODIFFERENTIAL-EQUATIONS; HERMITE INTERPOLATION; MULTIQUADRICS; CONVERGENCE; SPHERES;
D O I：
10.1016/j.apnum.2019.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the error analysis of the kernel collocation method for partial differential equations on the unit sphere is presented. A simple analysis is given when the true solutions lie in arbitrary Sobolev spaces. This also extends the previous studies for true solutions outside the associated native spaces. Finally, some experimental results support the theoretical error bounds. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：222 / 232
页数：11
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