Collective Symplectic Integrators on $S_2^N \times T^*\mathbb{R}^M$

Geir Bogfjellmo

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arXiv · 1809.06231

Collective Symplectic Integrators on $S_2^N \times T^*\mathbb{R}^M$

Geir Bogfjellmo

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Abstract

A novel symplectic integrator for Hamiltonian equations on $S_2^n \times T^{\ast} \RR^m$ is developed and studied. Partitioned Runge--Kutta methods for Hamiltonian systems on products of Hamiltionian manifolds are studied, specifically, algebraic conditions for their symplecticity are derived.

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BibTeX RIS

Geir Bogfjellmo. 2018-09-17. Collective Symplectic Integrators on $S_2^N \times T^*\mathbb{R}^M$. https://arxiv.org/abs/1809.06231

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