Symplectic-energy-momentum preserving variational integrators

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. © 1999 American Institute of Physics. @S0022-2488~99!01707-7#

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@inproceedings{Kane1998SymplecticenergymomentumPV, title={Symplectic-energy-momentum preserving variational integrators}, author={Couro Kane and Jerrold E. Marsden}, year={1998} }