Collective Lie-Poisson integrators on R3
Preprint, 2013

We develop Lie--Poisson integrators for general Hamiltonian systems on $\R^{3}$ equipped with the rigid body bracket. The method uses symplectic realisation of $\R^{3}$ on $T^{*}\R^{2}$ and application of symplectic Runge--Kutta schemes. As a side product, we obtain simple symplectic integrators for general Hamiltonian systems on the sphere $S^{2}$.

Author

Klas Modin

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Areas of Advance

Information and Communication Technology

Subject Categories

Computational Mathematics

Geometry

Roots

Basic sciences

More information

Created

10/8/2017