The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs

Hong, Jialin; Liu, Hongyu; Sun, Geng

doi:10.1090/S0025-5718-05-01793-X

The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
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by Jialin Hong, Hongyu Liu and Geng Sun;

Math. Comp. 75 (2006), 167-181

DOI: https://doi.org/10.1090/S0025-5718-05-01793-X

Published electronically: September 29, 2005

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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.

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