TY  - GEN
A1  - Reich, Sebastian
T1  - Momentum conserving symplectic integrators
N2  - 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).
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - paper 044 
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1549
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-16824
ER  -