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Multisymplectic Preissman Scheme and Its Application

WANG Lan(Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330022,China)  
We discuss the multisymplectic Preissman scheme which is mainly applied to solve multisymplectic Hamiltonian system in the paper.The simple application of the numerical method is also studied.The basic idea to construct multisymplectic scheme is that it must satisfy discrete multisymplectic conservation law.Based on the idea,we derive the sufficient conditions that lead a pair of Runge-Kutta methods to multisymplectic.Therefore,the multisymplectic Preissman scheme is obtained.We take wave equation as an example to illustrate the application of multisymplectic Preissman scheme in the numerically solving partial differential equations.
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