In mathematics, a multisymplectic integrator is a numerical method for the solution of a certain class of partial differential equations, that are said...

particle-in-cell (PIC) algorithms. Energy drift Multisymplectic integrator Variational integrator Verlet integration Tuckerman, Mark E. (2010). Statistical Mechanics:...

elastic structures immersed within fluids Multisymplectic integrator — extension of symplectic integrators, which are for ODEs Stretched grid method —...

field theory is developed in the Hamilton–De Donder, polysymplectic, multisymplectic and k-symplectic variants. A phase space of covariant Hamiltonian field...

structure, but this need not be integrable. Symplectic manifolds are special cases of a Poisson manifold. A multisymplectic manifold of degree k is a manifold...