Hamiltonian-conserving discrete canonical equations based on variational difference quotients
New discrete mechanics based on the assumption of the discrete time is proposed. The discrete mechanics does not contain any continuous differentiation, but contains only difference quotients. Resulting discrete Hamiltonian's canonical equations are single time-step difference equations and exactly conserve the Hamiltonian. The canonical equations give the numerical results more accurately than the Heun scheme and the 4th-order Runge-Kutta scheme.
discrete Hamiltonian's canonical equations
scientific article; zbMATH DE number 4072471