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On the collapsing sandpile model

In this talk we'll show how one can use the collapsing sandpile model, introduced by Evans, Feldman and Gariepy, in order to compute the stable profile of a sandpile from an unstable one. Indeed, we t...

Numerical approximation schemes for stochastic differential equations

In this talk I will first present an introduction to stochastic delay differential equations and provide some application examples. Further, I will highlight some issues in their numerical treatment a...

Time periodic solutions of Hamilton-Jacobi type equations

We will present existence results under usual hypotheses on the hamiltonian and show the relation with the solvability of the corresponding stationary (ergodic) problems. The nonuniqueness of, as well...

Numerical solution of the 1-D transient radiative transfer system

The talk will be focused on the numerical solution of the radiative heat transfer system. This system is composed of the energy equation coupled to the equation for the intensity of radiation, and it ...

Sul rapporto tra metodi di Lagrange-Galerkin e Semi-Lagrangiani

I metodi di Lagrange-Galerkin e Semi-Lagrangiani rappresentano due strade per costruire schemi a grandi passi in tempo per problemi di trasporto puro, sulla base di due diverse strategie di ricostruzi...

Sistemi multi-agente per la risoluzione dei conflitti nel controllo del traffico aereo

Un problema di grande attualità nell' ambito del controllo del traffico aereo è l'utilizzo di nuovi strumenti informatici a supporto dell'attività del pilota. In particolare, si tratta di gestire in m...

A Vector Hamilton-Jacobi Formulation for the Numerical Simulation of Euler Flows

A Vector Hamilton-Jacobi formulation of the Euler equations for fluids is studied numerically. The objective is to find the sentivity of a flow with respect to a parameter, which is solution of the li...

Convergence of a non monotone scheme for an HJB equation with discontinuous initial data

We are interested to the approximation of first order Hamilton-Jacobi-Bellman equations in the case of discontinuous initial data. Such data may come from optimal control problems. We study here a sch...

Metodi variazionali per il trattamento delle immagini, II

In questa seconda parte, verranno presentate alcune possibili approssimazioni (nel senso della Gamma-convergenza) del funzionale di Mumford-Shah tramite funzionali più facili da trattare dal punto di ...

A finite difference scheme for a hyperbolic system of conservation laws modeling polymer flooding

We construct the DFLUS finite difference scheme for a hyperbolic 2x2 system of conservation laws which models a polymer flooding process in enhanced oil recovery. This scheme is of Godunov type and it...