A Hermite spectral method for the computation of homoclinic orbits and associated functionals
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摘要
We present a spectral method for the computation of homoclinic orbits in ordinary differential equations. The method is based on Hermite–Fourier expansions of the complete homoclinic solution and exhibits exponential convergence. In addition, our method can be used to approximate nonlinear functionals which depend on the complete homoclinic solution. This is demonstrated using examples from phase separation dynamics and metastability.
论文关键词：34B15,34C37,41A30,42C15,65L10,65T99,Spectral methods,Homoclinic orbits,Exponential convergence,Hermite functions,Metastability
论文评审过程：Received 23 May 2006, Revised 18 August 2006, Available online 27 November 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.09.016
