摘要
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.
基金
The work of J.S.is partially supported by the NFS grant DMS-0610646
The work of L.W.is partially supported by a Start-Up grant from NTU and by Singapore MOE Grant T207B2202
Singapore grant NRF 2007IDM-IDM002-010.
