Discrete mechanics and variational integrators (2001)
by
J. E. Marsden
,
M. West
| Venue: | Acta Numer |
| Citations: | 114 - 27 self |
BibTeX
@ARTICLE{Marsden01discretemechanics,
author = {J. E. Marsden and M. West},
title = {Discrete mechanics and variational integrators},
journal = {Acta Numer},
year = {2001}
}
Years of Citing Articles
OpenURL
Abstract
This paper gives a review of integration algorithms for finite dimensional mechanical systems that are based on discrete variational principles. The variational technique gives a unified treatment of many symplectic schemes, including those of higher order, as well as a natural treatment of the discrete Noether theorem. The approach also allows us to include forces, dissipation and constraints in a natural way. Amongst the many specific schemes treated as examples, the Verlet, SHAKE, RATTLE, Newmark, and the symplectic







