A Simple Way Constructing Symplectic Runge-Kutta Methods

A Simple Way Constructing Symplectic Runge-Kutta Methods

Year:    2000

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 1 : pp. 61–68

Abstract

With the help of symplecticity conditions of Partitioned Runge-Kutta methods, a simple way constructing symplectic methods is derived. Examples including several classes of high order symplectic Runge-Kutta methods are given, and showed up the relationship between existing high order Runge-Kutta methods.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9022

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 1 : pp. 61–68

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Symplecticity condition Partitioned Runge-Kutta method.