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Volume 8, Issue 4
Symplectic Difference Schemes for Linear Hamiltonian Canonical Systems

Kang Feng, Hua-Mo Wu & Meng-Zhao Qin

J. Comp. Math., 8 (1990), pp. 371-380.

Published online: 1990-08

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  • Abstract

In this paper, we present some results of a study, specifically within the framework of symplectic geometry, of difference schemes for numerical solution of the linear Hamiltonian systems. We generalize the Cayley transform with which we can get different types of symplectic schemes. These schemes are various generalizations of the Euler centered scheme. They preserve all the invariant first integrals of the linear Hamiltonian systems.

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@Article{JCM-8-371, author = {Feng , KangWu , Hua-Mo and Qin , Meng-Zhao}, title = {Symplectic Difference Schemes for Linear Hamiltonian Canonical Systems}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {4}, pages = {371--380}, abstract = {

In this paper, we present some results of a study, specifically within the framework of symplectic geometry, of difference schemes for numerical solution of the linear Hamiltonian systems. We generalize the Cayley transform with which we can get different types of symplectic schemes. These schemes are various generalizations of the Euler centered scheme. They preserve all the invariant first integrals of the linear Hamiltonian systems.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9449.html} }
TY - JOUR T1 - Symplectic Difference Schemes for Linear Hamiltonian Canonical Systems AU - Feng , Kang AU - Wu , Hua-Mo AU - Qin , Meng-Zhao JO - Journal of Computational Mathematics VL - 4 SP - 371 EP - 380 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9449.html KW - AB -

In this paper, we present some results of a study, specifically within the framework of symplectic geometry, of difference schemes for numerical solution of the linear Hamiltonian systems. We generalize the Cayley transform with which we can get different types of symplectic schemes. These schemes are various generalizations of the Euler centered scheme. They preserve all the invariant first integrals of the linear Hamiltonian systems.

Feng , KangWu , Hua-Mo and Qin , Meng-Zhao. (1990). Symplectic Difference Schemes for Linear Hamiltonian Canonical Systems. Journal of Computational Mathematics. 8 (4). 371-380. doi:
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