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 - <p style="text-align: justify;">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&#39;s way of construction of higher-order symplectic schemes by using higher-order terms of generating functions.</p>