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

Geir Bogfjellmo

arxiv: 1809.06231 · v1 · pith:AL5ZQWWZnew · submitted 2018-09-17 · 🧮 math.NA · cond-mat.mtrl-sci· cs.NA· math.DG

Collective Symplectic Integrators on S₂^N times T^*mathbb{R}^M

Geir Bogfjellmo This is my paper

classification 🧮 math.NA cond-mat.mtrl-scics.NAmath.DG

keywords hamiltonianstudiedsymplectictimesalgebraiccollectiveconditionsderived

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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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