In the context of preserving stationary states, eg lake at rest and moving equilibria, a new
formulation of the shallow water system, called flux globalization has been introduced by …

This work concerns the enrichment of Discontinuous Galerkin (DG) bases, so that the
resulting scheme provides a much better approximation of steady solutions to hyperbolic …

In this work, we present a high-order finite volume framework for the numerical simulation of
shallow water flows. The method is designed to accurately capture complex dynamics …

Abstract Compact Approximate Taylor (CAT) methods for systems of conservation laws were
introduced by Carrillo and Parés in 2019. These methods, based on a strategy that allows …

The present work focuses on the numerical approximation of the weak solutions of the
shallow water model over a non-flat topography. In particular, we pay close attention to …

The paper proposed the moving-water equilibrium nonstaggered central scheme for the
Ripa model via the flux globalization. The traditional quadrature method for discretizing the …

In this paper, particular attention is paid to Godunov-type numerical scheme for solving
partial differential equations. We numerically approximate the weak solutions of the Navier …

The present work concerns the derivation of a numerical scheme to approximate weak
solutions of the Euler equations with a gravitational source term. The designed scheme is …

Esta tesis, realizada por compendio de publicaciones, se sitúa en el contexto de la
resolución numérica de sistemas hiperbólicos de leyes de equilibrio. Se consideran …