2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84077We 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.8 pages, 0 figureComputational Physicstext