The goal of this paper is to provide a theoretical framework allowing one to extend some
general concepts related to the numerical approximation of 1-d conservation laws to the …

We propose a way to construct robust numerical schemes for the computations of numerical
solutions of one-and two-dimensional hyperbolic systems of balance laws. In order to …

This paper is concerned with the numerical approximation of bedload sediment transport
due to water evolution. For the hydrodynamical component we consider Shallow Water …

The goal of this paper is to construct a first-order upwind scheme for solving the system of
partial differential equations governing the one-dimensional flow of two superposed …

The aim of this paper is to present a new kind of numerical processing for hyperbolic
systems of conservation laws with source terms. This is achieved by means of a non …

An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations Page 1
CR Acad. Sci. Paris, Ser. I 334 (2002) 337–342 Problèmes mathématiques de la mécanique/Mathematical …

In this article we present a new numerical procedure for solving exactly the Riemann
problem of compressible two-phase flow models containing non-conservative products …

We present a finite volume method that is applicable to hyperbolic PDEs including spatially
varying and semilinear nonconservative systems. The spatial discretization, like that of the …

This paper is concerned with the numerical approximation of Cauchy problems for one-
dimensional nonconservative hyperbolic systems. The theory developed by Dal Maso et …

The present study constructed a path-conservative high-order positivity-preserving well-
balanced finite volume Riemann solver for the one-dimensional porous shallow water …