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The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
Authors:Jialin Hong  Hongyu Liu  Geng Sun
Institution:State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O.Box 2719, Beijing 100080, People's Republic of China ; Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China ; Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
Abstract:In this article we consider partitioned Runge-Kutta (PRK) methods for Hamiltonian partial differential equations (PDEs) and present some sufficient conditions for multi-symplecticity of PRK methods of Hamiltonian PDEs.

Keywords:Partitioned Runge-Kutta method  multi-symplecticity  Hamiltonian partial differential equation
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