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Volume 20, Issue 1
A Note on the Construction of Symplectic Schemes for Splitable Hamiltonian H = H(1) + H(2) + H(3)

Yi-Fa Tang

J. Comp. Math., 20 (2002), pp. 89-96.

Published online: 2002-02

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  • Abstract

In this note, we will give a proof for the uniqueness of 4th-order time-reversible symplectic difference schemes of 13th-fold compositions of phase flows $\phi ^t_{H(1)}, \phi ^t_{H(2)}, \phi ^t_{H(3)}$ with different temporal parameters for splitable hamiltonian $H=H^{(1)}+H^{(2)}+H^{(3)}$.  

  • Keywords

Time-Reversible symplectic scheme, Splitable hamiltonian.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-89, author = {Tang , Yi-Fa}, title = {A Note on the Construction of Symplectic Schemes for Splitable Hamiltonian H = H(1) + H(2) + H(3)}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {1}, pages = {89--96}, abstract = {

In this note, we will give a proof for the uniqueness of 4th-order time-reversible symplectic difference schemes of 13th-fold compositions of phase flows $\phi ^t_{H(1)}, \phi ^t_{H(2)}, \phi ^t_{H(3)}$ with different temporal parameters for splitable hamiltonian $H=H^{(1)}+H^{(2)}+H^{(3)}$.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8901.html} }
TY - JOUR T1 - A Note on the Construction of Symplectic Schemes for Splitable Hamiltonian H = H(1) + H(2) + H(3) AU - Tang , Yi-Fa JO - Journal of Computational Mathematics VL - 1 SP - 89 EP - 96 PY - 2002 DA - 2002/02 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8901.html KW - Time-Reversible symplectic scheme, Splitable hamiltonian. AB -

In this note, we will give a proof for the uniqueness of 4th-order time-reversible symplectic difference schemes of 13th-fold compositions of phase flows $\phi ^t_{H(1)}, \phi ^t_{H(2)}, \phi ^t_{H(3)}$ with different temporal parameters for splitable hamiltonian $H=H^{(1)}+H^{(2)}+H^{(3)}$.  

Yi-Fa Tang. (1970). A Note on the Construction of Symplectic Schemes for Splitable Hamiltonian H = H(1) + H(2) + H(3). Journal of Computational Mathematics. 20 (1). 89-96. doi:
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