Many neurodegenerative diseases are connected to the spreading of misfolded prionic
proteins. In this paper, we analyse the process of misfolding and spreading of both α …

We consider dynamical transport metrics for probability measures on discretizations of a
bounded convex domain in \mathbbR^d. These metrics are natural discrete counterparts to …

In this paper we consider a unipolar degenerate drift-diffusion system where the relation
between the concentration of the charged species and the chemical potential is. We design …

We propose a variational finite volume scheme to approximate the solutions to Wasserstein
gradient flows. The time discretization is based on an implicit linearization of the …

We compare three thermodynamically consistent numerical fluxes known in the literature,
appearing in a Voronoï finite volume discretization of the van Roosbroeck system with …

We are interested in the large-time behaviour of solutions to finite volume discretizations of
convection–diffusion equations or systems endowed with nonhomogeneous Dirichlet-and …

We are interested in the long-time behaviour of approximate solutions to anisotropic and
heterogeneous linear advection–diffusion equations in the framework of hybrid finite volume …

A Lagrangian numerical scheme for solving nonlinear degenerate Fokker–Planck equations
in space dimensions d ≥ 2 d≥ 2 is presented. It applies to a large class of nonlinear …

We propose a nonlinear Discrete Duality Finite Volume scheme to approximate the solutions
of drift diffusion equations. The scheme is built to preserve at the discrete level even on …

We study a two-point flux approximation finite volume scheme for a cross-diffusion system.
The scheme is shown to preserve the key properties of the continuous systems, among …