Momentum conserving symplectic integrators

In this paper, we show that symplectic partitioned Runge-Kutta methods conserve momentum maps corresponding to linear symmetry groups acting on the phase space of Hamiltonian differential equations by extended point transformation. We also generalize this result to constrained systems and show how t...

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Bibliographic Details
Main Author: Reich, Sebastian
Format: Others
Language:English
Published: Universität Potsdam 1994
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-16824
http://opus.kobv.de/ubp/volltexte/2008/1682/