@Article{JCM-17-6, author = {Yi-Fa, Tang}, 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/1999-JCM-9126}, url = {https://global-sci.com/article/85653/a-note-on-construction-of-higher-order-symplectic-schemes-from-lower-order-one-via-formal-energies} }