On non-isotropic Jacobi pseudospectral method

被引：0
|
作者：
Guo, Benyu [1 ]
Zhang, Keji
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2008年 / 26卷 / 04期
关键词：
Jacobi pseudospectral method in multiple dimensions; Jacobi-Gauss type interpolation; Bernstein-Jackson type inequalities; singular problem; problem on axisymmetric domain;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a non-isotropic Jacobi pseudospectral method is proposed and its applications are considered. Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bernstein-Jackson type inequalities are established, which play an important role in pseudospectral method. The pseudospectral method is applied to a two-dimensional singular problem and a problem on axisymmetric domain. The convergence of proposed schemes is established. Numerical results demonstrate the efficiency of the proposed method.
引用
收藏
页码：511 / 535
页数：25
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