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Volume 9, Issue 3
A Note on Conservation Laws of Symplectic Difference Schemes for Hamiltonian Systems

Kang Feng & Dao-Liu Wang

J. Comp. Math., 9 (1991), pp. 229-237.

Published online: 1991-09

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  • Abstract

In this paper we consider the necessary conditions of conservation laws of symplectic difference schemes for Hamiltonian systems and give an example which shows that there does not exist any centered symplectic difference scheme which preserves all Hamiltonian energy.

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@Article{JCM-9-229, author = {Feng , Kang and Wang , Dao-Liu}, title = {A Note on Conservation Laws of Symplectic Difference Schemes for Hamiltonian Systems}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {3}, pages = {229--237}, abstract = {

In this paper we consider the necessary conditions of conservation laws of symplectic difference schemes for Hamiltonian systems and give an example which shows that there does not exist any centered symplectic difference scheme which preserves all Hamiltonian energy.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9396.html} }
TY - JOUR T1 - A Note on Conservation Laws of Symplectic Difference Schemes for Hamiltonian Systems AU - Feng , Kang AU - Wang , Dao-Liu JO - Journal of Computational Mathematics VL - 3 SP - 229 EP - 237 PY - 1991 DA - 1991/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9396.html KW - AB -

In this paper we consider the necessary conditions of conservation laws of symplectic difference schemes for Hamiltonian systems and give an example which shows that there does not exist any centered symplectic difference scheme which preserves all Hamiltonian energy.

Feng , Kang and Wang , Dao-Liu. (1991). A Note on Conservation Laws of Symplectic Difference Schemes for Hamiltonian Systems. Journal of Computational Mathematics. 9 (3). 229-237. doi:
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