supported by the National Natural Science Foundation of China(grant no.11972182);the Science and Technology on Space Intelligent Control Laboratory(nos.HTKJ2022KL502014 and 2021-JCJQ-LB-010-08).
To efficiently plan the point-to-point path for a 7-degrees-of-freedom(7-DOF)free-floating space manipulator system,a path planning method based on Legendre pseudospectral convex programming(LPCP)is proposed.First,the...
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, ...
Results on the composite generalized Laguerre-Legendre interpolation in unbounded domains are established. As an application,a composite Laguerre-Legendre pseudospectral scheme is presented for nonlinear Fokker-Planck...
The implementation of numerical methods to solve and study equations for cardiac wave propagation in realistic geometries is very costly,in terms of computational resources.The aim of this work is to show the improvem...
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 Singapore A*STAR SERC PSF-Grant 1321202067。
In this work,we are concerned with a time-splitting Fourier pseudospectral(TSFP)discretization for the Klein-Gordon(KG)equation,involving a dimensionless parameterε∈(0,1].In the nonrelativistic limit regime,the smal...
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...
Supported by the Natural Science Foundation of Jiangsu Higher Education Institutions of China under Grant No 10KJB110001;the Program for Excellent Talents in Huaiyin Normal University(No 11HSQNZ01).
Applying the Fourier pseudospectral method to space derivatives and the symplectic Euler rule to time derivatives in the multisymplectic form of the Klein–Gordon–Zakharov equations,we derive an explicit multisymplec...
supported by the National Science Foundation through grants OCE0451951 and ATM 0723440.
The three-dimensional spherical polytropic Lane-Emden problem is yr r+(2/r)y_(r)+y^(m)=0,y(0)=1,y_(r)(0)=0 where m∈[0,5]is a constant parameter.The domain is r∈[0,ξ]whereξis the first root of y(r).We recast this a...
Supported by the National Natural Sciences Foundation of China (No. 10771142) and (No. 10671130)
In this paper, we continue the discussion of [12] to establish the Hermite pseudospectral method with weight ω(x) = 1. As an application, we consider the pseudospectral approximation of the reaction-diffusion equat...