Some Recent Advances on Spectral Methods for Unbounded Domains
نویسندگان
چکیده
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. AMS subject classifications: 65N35, 65N22,65F05, 35J05
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تاریخ انتشار 2008