A Note on Symplectic Algorithms
Computational Physics
2007-05-23 v2
Abstract
We present the symplectic algorithm in the Lagrangian formalism for the Hamiltonian systems by virtue of the noncommutative differential calculus with respect to the discrete time and the Euler--Lagrange cohomological concepts. We also show that the trapezoidal integrator is symplectic in certain sense.
Cite
@article{arxiv.physics/0104030,
title = {A Note on Symplectic Algorithms},
author = {H. Y. Guo and Y. Q. Li and K. Wu},
journal= {arXiv preprint arXiv:physics/0104030},
year = {2007}
}
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