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A Note on Symplectic Algorithm |
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| Authors: | GUO Han-Ying LI Yu-Qi WU Ke |
| Affiliation: | Institute of Theoretical Physics, Academia Sinica,P.O. Box 2735, Beijing 100080, China |
| Abstract: | We present the symplectic algorithm in the Lagrangian formalism for the Hamiltonian systems by virtue of thenoncommutative differential calculus with respect to the discrete timeand the Euler-Lagrange cohomological concepts. We also show that the trapezoidal integrator is symplectic in certain sense. |
| Keywords: | symplectic algorithm Lagrangian formalism Euler-Lagrange cohomology |
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