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. https://resolver.caltech.edu/CaltechAUTHORS:20100917-084012847
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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 | ||||
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| Additional Information: | © 2000, World Scientific. Pub. date: Sep 2000. | ||||
| Record Number: | CaltechAUTHORS:20100917-084012847 | ||||
| Persistent URL: | https://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: | 24 Feb 2020 10:30 |
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