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Hamilton系统MSRK算法的数值色散关系
引用本文:张然,刘宏宇,张凯.Hamilton系统MSRK算法的数值色散关系[J].东北数学,2006,22(3):349-356.
作者姓名:张然  刘宏宇  张凯
作者单位:Institute of Mathematics Jilin University,Department of Mathematics,The Chinese University of Hong Kong,Institute of Mathematics,Jilin University,Changchun,130012 Institute of Mathematics,Dalian University of Technology,Dalian,116024,Shatin,N.T.,Hong Kong,Changchun,130012
基金项目:国家自然科学基金;高等学校博士学科点专项科研项目
摘    要:Numerical dispersion relation of the multi-symplectic Runge-Kutta (MSRK) method for linear Hamiltonian PDEs is derived in the present paper, which is shown to be a discrete counterpart to that possessed by the differential equation. This provides further understanding of MSRK methods. However, much still remains to be investigated further.

关 键 词:多偶对  KdV方程  分割Runge-Kutta法  哈密顿量

Numerical Dispersion Relation of Multi-symplectic Runge-Kutta Methods for Hamiltonian PDEs
ZHANG Ran,LIU Hong-yu,ZHANG Kai.Numerical Dispersion Relation of Multi-symplectic Runge-Kutta Methods for Hamiltonian PDEs[J].Northeastern Mathematical Journal,2006,22(3):349-356.
Authors:ZHANG Ran  LIU Hong-yu  ZHANG Kai
Institution:[1]Institute of Mathematics, Jilin University, Changchun, 130012 [2]Institute of Mathematics, Dalian University of Technology, Dalian, 116024 [3]Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Abstract:Numerical dispersion relation of the multi-symplectic Runge-Kutta (MSRK) method for linear Hamiltonian PDEs is derived in the present paper, which is shown to be a discrete counterpart to that possessed by the differential equation. This provides further understanding of MSRK methods. However, much still remains to be investigated further.
Keywords:multi-symplectic  KdV equation  partitioned Runge-Kutta method
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