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 this conservation property relates to the symplectic integration of Lie-Poisson systems on certain submanifolds of the general matrix group GL(n).

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Author:Sebastian Reich
Series (Serial Number):Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (paper 044)
Document Type:Postprint
Year of Completion:1994
Publishing Institution:Universität Potsdam
Release Date:2008/03/19
Source:Physica D: Nonlinear Phenomena. - 76 (1994), 4, p. 375 - 383. - ISSN 0167-2789
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht
Notes extern:
first published in:
Physica D: Nonlinear Phenomena - 76 (1994), 4, p. 375 - 383
ISSN: 0167-2789 doi:10.1016/0167-2789(94)90046-9