A FAS multigrid scheme for hyperbolic conservation laws

In this paper we present a multigrid scheme for time stepping of hyperbolic conservationlaws. It is well-known that the solution of hyperbolic conservation laws mayencounter with discontinuities or shocks. Therefore, the major concern is to capturethe true entropy satisfying unique solution. We show that the provided method fulfillsthe monotonicity preserving and total variation diminishing (TVD) properties.