A Note on Symplectic Algorithm
A Note on Symplectic Algorithm作者机构: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 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))
年 卷 期:2001年第36卷第7期
页 面:11-18页
核心收录:
主 题:symplectic algorithm, Lagrangian formalism, Euler-Lagrange cohomology
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.