  We propose a new parallel Discontinuous Galerkin method for the approximation
of hyperbolic systems of conservation laws. The method remains stable with
large time steps, while keeping the complexity of an explicit scheme: it does
not require the assembly and resolution of large linear systems for the time
iterations. The approach is based on a kinetic representation of the system of
conservation laws previously investigated by the authors. In this paper, the
approach is extended with a subdomain strategy that improves the parallel
scaling of the method on computers with distributed memory.
