  We discuss the development, analysis, implementation, and numerical
assessment of a spectral method for the numerical simulation of the
three-dimensional Vlasov-Maxwell equations. The method is based on a spectral
expansion of the velocity space with the asymmetrically weighted Hermite
functions. The resulting system of time-dependent nonlinear equations is
discretized by the discontinuous Galerkin (DG) method in space and by the
method of lines for the time integration using explicit Runge-Kutta
integrators. The resulting code, called Spectral Plasma Solver (SPS-DG), is
successfully applied to standard plasma physics benchmarks to demonstrate its
accuracy, robustness, and parallel scalability.
