@Article{JCM-11-365, author = {Geng Sun}, title = {Symplectic Partitioned Runge-Kutta Methods}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {4}, pages = {365--372}, abstract = {
For partitioned Runge-Kutta methods, in the integration of Hamiltonian systems, a condition for symplecticness and its characterization which is based on the W-transformation of Hairer and Wanner are presented. Examples for partitioned Runge-Kutta methods which satisfy the symplecticness condition are given. A special class of symplectic partitioned Runge-Kutta methods is constructed.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9335.html} }