A FAS multigrid scheme for hyperbolic conservation laws

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