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 details: | Sebastian ReichORCiDGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus-16824 |
| Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (paper 044) |
| Publication type: | Postprint |
| Language: | English |
| Publication year: | 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 |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| License (German): |  Keine öffentliche Lizenz: Unter Urheberrechtsschutz |
| External remark: | first published in: Physica D: Nonlinear Phenomena - 76 (1994), 4, p. 375 - 383 ISSN: 0167-2789 doi:10.1016/0167-2789(94)90046-9 |
