TY - JOUR
T1 - Some Recent Advances on Spectral Methods for Unbounded Domains
AU - Jie Shen & Li-Lian Wang
JO - Communications in Computational Physics
VL - 2-4
SP - 195
EP - 241
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7731.html
KW - 
AB - <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>