Generalized Laguerre interpolation and pseudospectral method for unbounded domains

被引：82
|
作者：
Guo, BY [1 ]
Wang, LL
Wang, ZQ
机构：
[1] Shanghai Normal Univ, Dept Math, Div Computat Sci, E Inst Shanghai Univ, Shanghai 200234, Peoples R China
[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2006年 / 43卷 / 06期
关键词：
generalized Laguerre-Gauss-type interpolations; pseudospectral method; unbounded domains; exterior problems;
D O I：
10.1137/04061324X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, error estimates for generalized Laguerre-Gauss-type interpolations are derived in nonuniformly weighted Sobolev spaces weighted with omega(alpha,beta) (x) = x(alpha)e(-beta x), alpha > -1, beta > 0. Generalized Laguerre pseudospectral methods are analyzed and implemented. Two model problems are considered. The proposed schemes keep spectral accuracy and, with suitable choice of basis functions, lead to sparse and symmetric linear systems.
引用
收藏
页码：2567 / 2589
页数：23
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