In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass of geometric...

refer to: Symplectic Clifford algebra, see Weyl algebra Symplectic geometry Symplectic group Symplectic integrator Symplectic manifold Symplectic matrix...

Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds...

Because of its time-reversibility, and because it is a symplectic integrator, leapfrog integration is also used in Hamiltonian Monte Carlo, a method for...

differential equations that arises in classical mechanics. It is a symplectic integrator and hence it yields better results than the standard Euler method...

restitution. Courant–Friedrichs–Lewy condition Energy drift Symplectic integrator Leapfrog integration Beeman's algorithm Verlet, Loup (1967). "Computer "Experiments"...

\omega } , called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology. Symplectic manifolds arise naturally...

lemma for the numerical method to solve differential equations, see Symplectic integrator Split (disambiguation) Splitter (disambiguation) This disambiguation...

Poisson structure. The notion of Poisson manifold generalises that of symplectic manifold, which in turn generalises the phase space from Hamiltonian mechanics...

Lagrange point Low-energy transfer Michael Minovitch n-body simulation Symplectic integrator Sitnikov problem Two-body problem Synodic reference frame Triple...