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

Kang Feng & Dao-liu Wang

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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 = {}, title = {A Note on Conseravtion 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 Conseravtion Laws of Symplectic Difference Schemes for Hamiltonian Systems 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.
Kang Feng & Dao-liu Wang. (1970). A Note on Conseravtion Laws of Symplectic Difference Schemes for Hamiltonian Systems. Journal of Computational Mathematics. 9 (3). 229-237. doi:
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