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Volume 8, Issue 3
Symplectic Collocation Schemes for Hamiltonian Systems

Zhi-Yun Xie

J. Comp. Math., 8 (1990), pp. 252-260.

Published online: 1990-08

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  • Abstract

The symplectic collocation schemes, which are based on the framework established by Feng Kang [1], are proposed for numerical solution of Hamiltonian systems. The sufficient and necessary conditions for various collocation schemes to be symplectic are obtained. Some examples of symplectic collocation schemes are also given.

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@Article{JCM-8-252, author = {Xie , Zhi-Yun}, title = {Symplectic Collocation Schemes for Hamiltonian Systems}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {3}, pages = {252--260}, abstract = {

The symplectic collocation schemes, which are based on the framework established by Feng Kang [1], are proposed for numerical solution of Hamiltonian systems. The sufficient and necessary conditions for various collocation schemes to be symplectic are obtained. Some examples of symplectic collocation schemes are also given.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9438.html} }
TY - JOUR T1 - Symplectic Collocation Schemes for Hamiltonian Systems AU - Xie , Zhi-Yun JO - Journal of Computational Mathematics VL - 3 SP - 252 EP - 260 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9438.html KW - AB -

The symplectic collocation schemes, which are based on the framework established by Feng Kang [1], are proposed for numerical solution of Hamiltonian systems. The sufficient and necessary conditions for various collocation schemes to be symplectic are obtained. Some examples of symplectic collocation schemes are also given.

Xie , Zhi-Yun. (1990). Symplectic Collocation Schemes for Hamiltonian Systems. Journal of Computational Mathematics. 8 (3). 252-260. doi:
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