Discontinuous Galerkin methods are developed for solving the Vlasov–Maxwell system, methods that are designed to be systematically as accurate as one wants with provable conservation of mass and possibly total energy. Such properties in general are hard to achieve within other numerical method frameworks for simulating the Vlasov–Maxwell system. The… (More)

Table 5.1 Upwind flux for Maxwell’s equations, L2 errors, and orders with N uniform cells in each of the x2, ξ1, ξ2 directions. Run to T = 5 and back to T = 10.