@Article{CiCP-5-195, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7731.html} }