SPECTRAL_METHOD

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Efficient Finite Difference/Spectral Method for the Time Fractional Ito Equation Using Fast Fourier Transform Technic
《Communications on Applied Mathematics and Computation》2023年第4期1591-1600,共10页Dakang Cen Zhibo Wang Seakweng Vong 
the National Natural Science Foundation of China(No.11701103);the Young Top-notch Talent Program of Guangdong Province of China(No.2017GC010379);the Natural Science Foundation of Guangdong Province of China(No.2022A1515012147);the Project of Science and Technology of Guangzhou of China(No.202102020704);the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University of China(2021023);the Science and Technology Development Fund,Macao SAR(File No.0005/2019/A);the University of Macao of China(File Nos.MYRG2020-00035-FST,MYRG2018-00047-FST).
A finite difference/spectral scheme is proposed for the time fractional Ito equation.The mass conservation and stability of the numerical solution are deduced by the energy method in the L^(2)norm form.To reduce the c...
关键词：Time fractional Ito equation Finite difference method Spectral method STABILITY 
NUMERICAL APPROXIMATION OF THE SMOLUCHOWSKI EQUATION USING RADIAL BASIS FUNCTIONS
《Journal of Computational Mathematics》2020年第1期176-194,共19页Christiane Helzel Maximilian Schneiders 
The goal of this paper is to present a numerical method for the Smoluchowski equation,a drift-diffusion equation on the sphere,arising in the modelling of particle dynamics.The numerical method uses radial basis funct...
关键词：Smoluchowski equation Spectral method Radial basis function method 
Milling stability analysis using the spectral method被引量：11
《Science China(Technological Sciences)》2011年第12期3130-3136,共7页DING Ye ZHU LiMin ZHANG XiaoJian DING Han 
supported by the National Key Basic Research Program (Grant No. 2011CB706804);the Science & Technology Commission of Shanghai Municipality (Grant Nos. 09QH1401500 and 10JC1408000)
This paper focuses on the development of an efficient semi-analytical solution of chatter stability in milling based on the spectral method for integral equations. The time-periodic dynamics of the milling process tak...
关键词：milling stability delayed differential equation integral equation spectral method Floquet theory 
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 
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