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Volume 11, Issue 4
Symplectic Partitioned Runge-Kutta Methods

Geng Sun

J. Comp. Math., 11 (1993), pp. 365-372.

Published online: 1993-11

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  • 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.  

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@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} }
TY - JOUR T1 - Symplectic Partitioned Runge-Kutta Methods AU - Geng Sun JO - Journal of Computational Mathematics VL - 4 SP - 365 EP - 372 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9335.html KW - AB -

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.  

Geng Sun. (1993). Symplectic Partitioned Runge-Kutta Methods. Journal of Computational Mathematics. 11 (4). 365-372. doi:
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