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Symplectic-energy-momentum preserving variational integrators

Kane, C. and Marsden, J. E. and Ortiz, M. (1999) Symplectic-energy-momentum preserving variational integrators. Journal of Mathematical Physics, 40 (7). pp. 3353-3371. ISSN 0022-2488. doi:10.1063/1.532892.

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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.

Item Type:Article
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Ortiz, M.0000-0001-5877-4824
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.
Subject Keywords:classical mechanics; variational techniques; integration; numerical analysis
Issue or Number:7
Record Number:CaltechAUTHORS:KANjmp99
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3727
Deposited By: Tony Diaz
Deposited On:30 Jun 2006
Last Modified:08 Nov 2021 20:11

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