By introducing a new conserved variable the Serre equations can be written in conservation law form and the numerical techniques for solving hyperbolic equations can be used to solve the Serre ...

In this paper a general numerical method for solving Riemann problems is discussed. It can be used to solve the Riemann problems of various hyperbolic systems of differential equations with two ...

In this paper, we present a class of parametrized limiters used to achieve strict maximum principle for high order numerical schemes applied to hyperbolic conservation laws computation. By decoupling ...