Affordable Access

Publisher Website

Discrete Lagrange's equations and canonical equations based on the principle of least action

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
29
Issue
2
Identifiers
DOI: 10.1016/0096-3003(89)90100-8
Disciplines
  • Physics

Abstract

Abstract By assuming that time is discrete, discrete Lagrange's equations and discrete canonical equations are derived on the basis of the principle of least action. The discrete mechanics contains no differentiation and integration, but contains difference quotients and summations. The time interval is not required to be infinitesimal. The discrete canonical equations conserve the Hamiltonian exactly.

There are no comments yet on this publication. Be the first to share your thoughts.