A Note on Symplectic Algorithm
Han-Ying Guo, Li Yu-Qi, Wu Ke · Communications in Theoretical Physics · 2001
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.