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Volume 17, Issue 6
A Note on Construction of Higher-Order Symplectic Schemes from Lower-Order One via Formal Energies

Yi-Fa Tang

J. Comp. Math., 17 (1999), pp. 561-568.

Published online: 1999-12

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  • Abstract

In this paper, we will prove by the help of formal energies only that one can improve the order of any symplectic scheme by modifying the Hamiltonian symbol $H$, and show through examples that this action exactly and directly simplifies Feng's way of construction of higher-order symplectic schemes by using higher-order terms of generating functions.

  • Keywords

Hamiltonian system, Symplectic scheme, Revertible scheme, Generating function, Formal energy.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-561, author = {Tang , Yi-Fa}, title = {A Note on Construction of Higher-Order Symplectic Schemes from Lower-Order One via Formal Energies}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {6}, pages = {561--568}, abstract = {

In this paper, we will prove by the help of formal energies only that one can improve the order of any symplectic scheme by modifying the Hamiltonian symbol $H$, and show through examples that this action exactly and directly simplifies Feng's way of construction of higher-order symplectic schemes by using higher-order terms of generating functions.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9126.html} }
TY - JOUR T1 - A Note on Construction of Higher-Order Symplectic Schemes from Lower-Order One via Formal Energies AU - Tang , Yi-Fa JO - Journal of Computational Mathematics VL - 6 SP - 561 EP - 568 PY - 1999 DA - 1999/12 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9126.html KW - Hamiltonian system, Symplectic scheme, Revertible scheme, Generating function, Formal energy. AB -

In this paper, we will prove by the help of formal energies only that one can improve the order of any symplectic scheme by modifying the Hamiltonian symbol $H$, and show through examples that this action exactly and directly simplifies Feng's way of construction of higher-order symplectic schemes by using higher-order terms of generating functions.

Tang , Yi-Fa. (1999). A Note on Construction of Higher-Order Symplectic Schemes from Lower-Order One via Formal Energies. Journal of Computational Mathematics. 17 (6). 561-568. doi:
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