SPECTRAL_METHOD

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Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line
《Journal of Mathematical Study》2018年第2期177-195,共19页Guo Chai Tian-jun Wang 
The first author of this work was supported in part by NSF of China No.11401380;The second author was supported in part by NSF of China No.11371123,No.11571151 and No.11771299
In this paper,we develop a spectral method for the nonlinear Fokker-Planck equations modeling the relaxation of fermion and boson gases.A full-discrete general-ized Hermite spectral scheme is constructed.Its convergen...
关键词：Nonlinear Fokker-Planck equations the whole line generalized Hermite spectral method full-discrete scheme 
Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions
《Applied Mathematics and Mechanics(English Edition)》2009年第5期561-574,共14页焦裕建 郭本瑜 
supported by the National Natural Science Foundation of China (No.10871131);the Science and Technology Commission of Shanghai Municipality (No.075105118);the Shanghai Leading Academic Discipline Project (No.S30405);the Fund for E-institutes of Shanghai Universities(No.E03004)
In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream fun...
关键词：spectral method exterior problems of fourth order Navier-Stokes equations 
Spectral Method for Three-Dimensional Nonlinear Klein-Gordon Equation by Using Generalized Laguerre and Spherical Harmonic Functions被引量：3
《Numerical Mathematics(Theory,Methods and Applications)》2009年第1期43-64,共22页Xiao-Yong Zhang Ben-Yu Guo Yu-Jian Jiao 
supported in part by NSF of China N.10871131;The Science and Technology Commission of Shanghai Municipality,Grant N.075105118;Shanghai Leading Academic Discipline Project N.T0401;Fund for E-institute of Shanghai Universities N.E03004.
In this paper,a generalized Laguerre-spherical harmonic spectral method is proposed for the Cauchy problem of three-dimensional nonlinear Klein-Gordon equation. The goal is to make the numerical solutions to preserve ...
关键词：Generalized Laguerre-spherical harmonic spectral method Cauchy problem of nonlinear Klein-Gordon equation. 
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