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arXiv physics/0104030physics.comp-ph

A Note on Symplectic Algorithms

H. Y. Guo, Y. Q. Li, K. Wu

英文摘要:

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.

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