Title
Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
Abstract
In this paper, error estimates for generalized Laguerre--Gauss-type interpolations are derived in nonuniformly weighted Sobolev spaces weighted with $\omega_{\alpha,\beta}(x)=x^{\alpha}e^{-\beta x},\;\alpha -1,\beta0.$ 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.
Year
DOI
Venue
2006
10.1137/04061324X
SIAM J. Numerical Analysis
Keywords
DocType
Volume
pseudospectral method
Journal
43
Issue
ISSN
Citations 
6
0036-1429
21
PageRank 
References 
Authors
1.54
3
3
Name
Order
Citations
PageRank
Ben-yu Guo147565.54
Li-Lian Wang236743.47
Zhong-qing Wang314020.28