@Article{CiCP-5-195,
author = {Jie Shen and Li-Lian Wang},
title = {Some Recent Advances on Spectral Methods for Unbounded Domains},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {2-4},
pages = {195--241},
abstract = {<p style="text-align: justify;">We present in this paper a unified framework for analyzing the spectral methods in unbounded domains using mapped Jacobi, Laguerre and Hermite functions. A detailed comparison of the convergence rates of these spectral methods for solutions with typical decay behaviors is carried out, both theoretically and computationally. A brief review on some of the recent advances in the spectral methods for unbounded domains is also presented.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7731.html}
}