@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} }