Abstract:
Application of symplectic partitioned Rung-Kutta (PRK) methods for symplectic ODE's is well known. Recently PRK methods are applied in space and time to Hamiltonian PDE's with multi-symplectic structure. It was shown that for some nonlinear PDE's one can obtain under discretization, explicit ODE's for the stage vectors. The two-stage Lobatto IIIA-B pair is applied as an PRK method to the "good" Boussineq equation in symplectic and multi-symplectic form. The resulting discrete equations are two level explicit schemes. Numerical results concerning energy and momentum conservation are given. Numerical dispersion properties of the methods are discussed.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.