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A NOTE ON CONSTRUCTION OF HIGHER-ORDER SYMPLECTIC SCHEMES FROM LOWER-ORDER ONE VIAFORMAL ENERGIES |
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| Authors: | Yi-fa Tang |
| Abstract: | In this paper, we will prove by the help of formal energies only that one canimprove the order of any symplectic scheme by modifying the Hamiltonian symbolH, and show through examples that this action exactly and directly simplifiesFeng's way of construction of higher-order symplectic schemes by using higherorder terms of generating functions. |
| Keywords: | Hamiltonian system Symplectic scheme Revertible scheme Generating function Formal energy. |
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