A discrete action principle for electrodynamics and the construction of explicit symplectic integrators for linear, non-dispersive media

@article{McMahon2009ADA,
  title={A discrete action principle for electrodynamics and the construction of explicit symplectic integrators for linear, non-dispersive media},
  author={Jeffrey M. McMahon and Stephen K. Gray and George C. Schatz},
  journal={J. Comput. Physics},
  year={2009},
  volume={228},
  pages={3421-3432}
}
In this work, we derive a discrete action principle for electrodynamics that can be used to construct explicit symplectic integrators for Maxwell’s equations. Different integrators are constructed depending on the choice of discrete Lagrangian used to approximate the action. By combining discrete Lagrangians in an explicit symplectic partitioned Runge… CONTINUE READING