Laura Norena, University of Central Florida


Nearly Preserving Algorithms for Perturbed Multi-Symplectic PDE's

Abstract: Conformal conservation laws are defined and derived for a class of multi-symplectic equations with added dissipation. In particular, the conservation laws of energy and momentum are considered, along with those that arise from linear symmetries. Numerical methods that preserved these conformal conservation laws are presented. The semi-linear wave equation and nonlinear Schroedinger equation with added dissipation are used as examples to demonstrate the results.

Mentors: Dr. Brian Moore and Dr. C. M. Schober (University of Central Florida).