CaltechAUTHORS
  A Caltech Library Service

Variational integrators, the Newmark scheme, and dissipative systems

West, M. and Kane, C. and Marsden, J. E. and Ortiz, M. (2000) Variational integrators, the Newmark scheme, and dissipative systems. In: Equadiff 99, International Conference on Differential Equations,. Singapore : World Scientific , pp. 1009-1011. ISBN 9789810243593 http://resolver.caltech.edu/CaltechAUTHORS:20100917-084012847

[img]
Preview
PDF - Updated Version
See Usage Policy.

151Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20100917-084012847

Abstract

Variational methods are a class of symplectic-momentum integrators for ODEs. Using these schemes, it is shown that the classical Newmark algorithm is structure preserving in a non-obvious way, thus explaining the observed numerical behavior. Modifications to variational methods to include forcing and dissipation are also proposed, extending the advantages of structure preserving integrators to non-conservative systems.


Item Type:Book Section
Additional Information:© 2000, World Scientific. Pub. date: Sep 2000.
Record Number:CaltechAUTHORS:20100917-084012847
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100917-084012847
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20001
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:17 Sep 2010 21:20
Last Modified:26 Dec 2012 12:26

Repository Staff Only: item control page