PSEUDOSPECTRAL

作品数:31被引量:31H指数:3
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Pseudospectral Convex Programming for Free-Floating Space Manipulator Path Planning
《Space(Science & Technology)》2023年第1期224-234,共11页Danyi Li Yinkang Li Xu Liu Bin Yang Xuxing Huang Yong Yang Bingheng Wang Shuang Li 
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...
关键词:CONVEX PROGRAMMING utilizing 
THE STRUCTURE-PRESERVING METHODS FOR THE DEGASPERIS-PROCESI EQUATION
《Journal of Computational Mathematics》2019年第4期475-487,共13页Yuze Zhang Yushun Wang Yanhong Yang 
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, ...
关键词:DEGASPERIS-PROCESI EQUATION bi-Hamiltonian structure Structure-preserving SCHEME FOURIER PSEUDOSPECTRAL method 
Multi-Domain Decomposition Pseudospectral Method for Nonlinear Fokker-Planck Equations
《Communications on Applied Mathematics and Computation》2019年第2期231-252,共22页Tao Sun Tian-jun Wang 
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...
关键词:Composite generalized Laguerre-Legendre PSEUDOSPECTRAL approximation NONLINEAR FOKKER-PLANCK equations defined on UNBOUNDED domains MULTI-DOMAIN DECOMPOSITION PSEUDOSPECTRAL method 
Chebyshev multidomain pseudospectral method to solve cardiac wave equations with rotational anisotropy
《International Journal of Modeling, Simulation, and Scientific Computing》2018年第4期58-82,共25页Jairo Rodrıguez-Padilla Daniel Olmos-Liceaga 
CONACYT Under Grant 177493.
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...
关键词:Chebyshev-pseudospectral cardiac models anisotropic media. 
A conservative Fourier pseudospectral algorithm for the nonlinear Schrodinger equation被引量:1
《Chinese Physics B》2014年第12期21-29,共9页吕忠全 张鲁明 王雨顺 
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...
关键词:Fourier pseudospectral method Schrdinger equation conservation law CONVERGENCE 
On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime
《Communications in Computational Physics》2014年第7期440-466,共27页Xuanchun Dong Zhiguo Xu Xiaofei Zhao 
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...
关键词:Klein-Gordon equation high oscillation TIME-SPLITTING trigonometric integrator error estimate meshing strategy. 
A conservative Fourier pseudospectral algorithm for a coupled nonlinear Schrdinger system被引量:4
《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 
Explicit Multisymplectic Fourier Pseudospectral Scheme for the Klein–Gordon–Zakharov Equations
《Chinese Physics Letters》2012年第8期1-4,共4页CAI Jia-Xiang LIANG Hua 
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...
关键词:SYMPLECTIC MOMENTUM checked 
Chebyshev Spectral Methods and the Lane-Emden Problem被引量:1
《Numerical Mathematics(Theory,Methods and Applications)》2011年第2期142-157,共16页John P.Boyd 
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...
关键词:Lane-Emden Chebyshev polynomial PSEUDOSPECTRAL 
A Class Hermite Pseudospectral Approximate with ω(x) ≡ 1 and Application to Reaction-diffusion Equation被引量:2
《Acta Mathematicae Applicatae Sinica》2010年第3期405-414,共10页Xin-min Xiang 
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...
关键词:Hermite pseudospectral method Hermite function system which the weight is 1 Reaction-diffusionequation Global attractor Error estimate 
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