A Note on Symplectic Algorithm  

A Note on Symplectic Algorithm

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作  者:GUO Han-Ying LI Yu-Qi WU Ke 

机构地区:[1]Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China

出  处:《Communications in Theoretical Physics》2001年第7期11-18,共8页理论物理通讯(英文版)

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.

关 键 词:SYMPLECTIC algorithm  LAGRANGIAN formalism  EULER-LAGRANGE COHOMOLOGY 

分 类 号:O4[理学—物理]

 

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