Hamiltonian-conserving discrete canonical equations based on variational difference quotients
type: Item
instance of: scholarly article
title: Hamiltonian-conserving discrete canonical equations based on variational difference quotients
zbMATH Open document ID: 0656.70015
DOI: 10.1016/0021-9991(88)90132-5
author: Toshiaki Itoh
author: Kanji Abe
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 4072471
zbMATH Keywords: discrete mechanics
zbMATH Keywords: discrete time
zbMATH Keywords: discrete Hamiltonian's canonical equations
zbMATH Keywords: Runge-Kutta scheme
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90132-5
OpenAlex ID: W1986490616
cites work: Q3891824
cites work: Hamiltonian differencing of fluid dynamics
cites work: On the energy theorem for the Lagrange equations in the discrete case
cites work: Q5719651
description: scientific article; zbMATH DE number 4072471