Published July 1, 1999
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Journal Article
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Symplectic-energy-momentum preserving variational integrators
- Creators
- Kane, C.
- Marsden, J. E.
-
Ortiz, M.
Abstract
The purpose of this paper is to develop variational integrators for conservative mechanical systems that are symplectic and energy and momentum conserving. To do this, a space–time view of variational integrators is employed and time step adaptation is used to impose the constraint of conservation of energy. Criteria for the solvability of the time steps and some numerical examples are given.
Additional Information
©1999 American Institute of Physics. Received 20 January 1999; accepted 3 February 1999. We thank Debra Lewis, Robert McLachlan, George Patrick, Steve Shkoller, and Matt West for useful remarks.Files
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Additional details
- Eprint ID
- 3727
- Resolver ID
- CaltechAUTHORS:KANjmp99
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2006-06-30Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field