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Symplectic-energy-momentum preserving variational integrators
C. Kane, J. E. Marsden, M. Ortiz
Source 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.
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