Title: Implementation and Efficiency of Discontinuous Galerkin
Spectral Element Methods for Hyperbolic Systems 

Abstract.

We confront conventional wisdom and show that discontinuous Galerkin
spectral element methods can not only be easy to implement, but are
efficient when compared to high order compact finite difference
methods. We consider the question of whether it is better to integrate
by parts once or twice and which of Gauss or Gauss Lobatto points is
better to find that it just doesn't matter very much. Finally, we
discuss the issue of time integration to find which of explicit or
implicit methods are most efficient.