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Volume 18, Issue 1
A Simple Way Constructing Symplectic Runge-Kutta Methods

Geng Sun

J. Comp. Math., 18 (2000), pp. 61-68.

Published online: 2000-02

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  • 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.  

  • Keywords

Symplecticity condition, Partitioned Runge-Kutta method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-61, author = {Geng Sun}, title = {A Simple Way Constructing Symplectic Runge-Kutta Methods}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {1}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9022.html} }
TY - JOUR T1 - A Simple Way Constructing Symplectic Runge-Kutta Methods AU - Geng Sun JO - Journal of Computational Mathematics VL - 1 SP - 61 EP - 68 PY - 2000 DA - 2000/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9022.html KW - Symplecticity condition, Partitioned Runge-Kutta method. AB -

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.  

Geng Sun. (2000). A Simple Way Constructing Symplectic Runge-Kutta Methods. Journal of Computational Mathematics. 18 (1). 61-68. doi:
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