国家自然科学基金(s11201169)

作品数:4被引量:9H指数:2
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相关期刊:《Chinese Physics B》更多>>
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Local structure-preserving methods for the generalized Rosenau-RLW-KdV equation with power law nonlinearity被引量:4
《Chinese Physics B》2017年第10期7-11,共5页蔡加祥 洪旗 杨斌 
supported by the National Natural Science Foundation of China(Grant Nos.11201169 and 61672013);the Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems(Grant No.201606)
Local structure-preserving algorithms including multi-symplectic, local energy- and momentum-preserving schemes are proposed for the generalized Rosenau-RLW-KdV equation based on the multi-symplectic Hamiltonian formu...
关键词:Rosenau-type equation multi-symplectic conservation law energy conservation law structure- preserving algorithm 
Conservative method for simulation of a high-order nonlinear Schrdinger equation with a trapped term
《Chinese Physics B》2015年第10期26-30,共5页蔡加祥 柏传志 秦志林 
Project supported by the National Natural Science Foundation of China(Grant Nos.11201169 and 11271195);the Qing Lan Project of Jiangsu Province,China
We propose a new scheme for simulation of a high-order nonlinear Schrodinger equation with a trapped term by using the mid-point rule and Fourier pseudospectral method to approximate time and space derivatives, respec...
关键词:Schrodinger equation Fourier pseudospectral method conservation law fast Fourier transform 
A local energy-preserving scheme for Klein Gordon Schrdinger equations
《Chinese Physics B》2015年第5期171-176,共6页蔡加祥 汪佳玲 王雨顺 
supported by the National Natural Science Foundation of China(Grant Nos.11201169,11271195,and 41231173);the Project of Graduate Education Innovation of Jiangsu Province,China(Grant No.CXLX13 366)
A local energy conservation law is proposed for the Klein--Gordon-Schrrdinger equations, which is held in any local time-space region. The local property is independent of the boundary condition and more essential tha...
关键词:Klein-Gordon-Schrodinger equations energy conservation law local structure convergence analysis 
A conservative Fourier pseudospectral algorithm for a coupled nonlinear Schrdinger system被引量:5
《Chinese Physics B》2013年第6期135-140,共6页蔡加祥 王雨顺 
supported by the National Natural Science Foundation of China (Grant Nos. 11201169 and 11271195);the National Basic Research Program of China (Grant No. 2010AA012304);the Natural Science Foundation of Jiangsu Education Bureau,China (Grant Nos. 10KJB110001 and 12KJB110002);the Qing Lan Project of Jiangsu Province of China
We derive a new method for a coupled nonlinear Schr/Sdinger system by using the square of first-order Fourier spectral differentiation matrix D1 instead of traditional second-order Fourier spectral differentiation mat...
关键词:Schroedinger equation Fourier pseudospectral method conservation law energy 
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