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Volume 5, Issue 2-4
Some Recent Advances on Spectral Methods for Unbounded Domains

Jie Shen & Li-Lian Wang

Commun. Comput. Phys., 5 (2009), pp. 195-241.

Published online: 2009-02

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  • 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.

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@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 = {

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} }
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 -

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.

Jie Shen and Li-Lian Wang. (2009). Some Recent Advances on Spectral Methods for Unbounded Domains. Communications in Computational Physics. 5 (2-4). 195-241. doi:
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