Laguerre and Hermite Collocation Methods for Unbounded Domains
East Asian J. Appl. Math., 8 (2018), pp. 24-43.
Published online: 2018-02
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@Article{EAJAM-8-24,
author = {Chao Zhang, Hanfeng Yao and Michael D.Samson},
title = {Laguerre and Hermite Collocation Methods for Unbounded Domains},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {1},
pages = {24--43},
abstract = {
We discuss spectral collocation methods based on Jacobi-Gauss-Lobatto points and Laguerre and Hermite collocation for unbounded domains. These methods are well conditioned, and some numerical experiments demonstrate quite high accuracy.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.280616.310717a}, url = {http://global-sci.org/intro/article_detail/eajam/10883.html} }
TY - JOUR
T1 - Laguerre and Hermite Collocation Methods for Unbounded Domains
AU - Chao Zhang, Hanfeng Yao & Michael D.Samson
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 24
EP - 43
PY - 2018
DA - 2018/02
SN - 8
DO - http://doi.org/10.4208/eajam.280616.310717a
UR - https://global-sci.org/intro/article_detail/eajam/10883.html
KW - Collocation method, condition number, stability.
AB -
We discuss spectral collocation methods based on Jacobi-Gauss-Lobatto points and Laguerre and Hermite collocation for unbounded domains. These methods are well conditioned, and some numerical experiments demonstrate quite high accuracy.
Chao Zhang, Hanfeng Yao and Michael D.Samson. (2018). Laguerre and Hermite Collocation Methods for Unbounded Domains.
East Asian Journal on Applied Mathematics. 8 (1).
24-43.
doi:10.4208/eajam.280616.310717a
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