MultiSymplectic Discretization of Wave Map Equations
MultiSymplectic Discretization of Wave Map Equations
We present a new multisymplectic formulation of constrained Hamiltonian partial differential equations, and we study the associated local conservation laws. A multisymplectic discretization based on this new formulation is exemplified by means of the Euler box scheme. When applied to the wave map equation, this numerical scheme is explicit, preserves …