We propose a stabilized Residual Distribution (RD) scheme for the simulation of shallow
water flows. The final discretization is obtained combining the stabilized RD approach …

We describe and review non oscillatory residual distribution schemes that are rather natural
extension of high order finite volume schemes when a special emphasis is put on the …

In the present contribution, we describe residual distribution () methods, seen from a
rather fundamental point of view. We try to focus on the basic features that distinguish these …

We consider the advection-diffusion equation in one dimension. The equation is solved
using an explicit finite difference method. As the method is explicit, it is simple to implement …

In this paper, we unify advection and diffusion into a single hyperbolic system by extending
the first-order system approach introduced for the diffusion equation [J. Comput. Phys., 227 …

We provide a review of high order methods for CFD. Besides recalling some classical
methods, we show a framework allowing on one hand to see and work with these methods …

In this paper, we introduce a general principle for constructing robust and accurate viscous
discretization, which is applicable to various discretization methods, including finite-volume …

A robust and high order accurate Residual Distribution (RD) scheme for the discretization of
the steady Navier–Stokes equations is presented. The proposed method is very flexible: it is …

This paper deals with the construction of a class of high-order accurate residual distribution
schemes for advection-diffusion problems using conformal meshes. The problems …

In this paper, we present first, second, and third order implicit finite-volume solvers for
advection–diffusion problems based on the first-order hyperbolic system method. In …