the National Natural Science Foundation of China (Grant No. 11771213);the National Key Research and Development Project of China (Grant No. 2016YFC0600310);the Major Projects of Natural Sciences of University in Jiangsu Province of China (Grant No. 15KJA110002).
This paper gives several structure-preserving schemes for the Degasperis-Procesi equation which has bi-Hamiltonian structures consisted of both complex and non-local Hamiltonian differential operators. For this sake, ...
Project supported by the National Natural Science Foundation of China(Grant Nos.11271195,41231173,and 11201169);the Postdoctoral Foundation of Jiangsu Province of China(Grant No.1301030B);the Open Fund Project of Jiangsu Key Laboratory for NSLSCS(Grant No.201301);the Fund Project for Highly Educated Talents of Nanjing Forestry University(Grant No.GXL201320)
In this paper, we derive a new method for a nonlinear Schrodinger system by using the square of the first-order Fourier spectral differentiation matrix D1 instead of the traditional second-order Fourier spectral diffe...
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...
A Fourier pseudospectral-finite difference scheme is proposed for unsteady Navier-Stokes equation. It is showed that the numerical solution keeps semi-discrete conservation. The strict error estimation is established....
A Fourier pseudospectral-finite difference sheme is proposed for solving two-dimensionalvorticity equations. The generalized stability and the convergence are proved.The numericalresults are given.
A Fourier-Chebyshev pseudospectral scheme is proposed for three-dimensionalvorticily equation with unilaterally periodic boundary condition. The generalized stability and convergence are analysed. The numerical result...