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Uno Schema semi-lagrangiano per l'infinito laplaciano con applicazioni all'inpainting d'immagini

Nel seminario presentiamo un nuovo schema semi-lagrangiano per l'operatore infinito laplaciano. Nella prima parte richiameremo alcuni teoremi noti in letteratura: esistenza, unicità e principio del co...

Problemi di raggiungibilità per sistemi stocastici controllati in presenza di vincoli di stato

Dato uno spazio di probabilità ed un sistema di equazioni differenziali stocastiche controllate scopo di questo lavoro è caratterizzare l'insieme dei punti dai quali sia quasi sicuramente possibile ra...

Trattamento semi-lagrangiano degli operatori di secondo ordine in forma di divergenza

Tecniche abbastanza classiche (interpretabili in un quadro di calcolo stocastico) permettono di trattare termini diffusivi in forma di traccia negli schemi SL. Verrà discussa una estensione di queste ...

Computation of Fundamental Solutions for Two-Point Boundary Value Problems in Conservative Systems and the N-Body Problem

Two-point boundary value problems (TPBVPs) for conservative systems are studied in the context of the stationary action principle. For sufficiently short time horizons, this converts dynamical systems...

Sui metodi Local Single-Pass per equazioni di Hamilton-Jacobi stazionarie

I metodi numerici di tipo Local Single-Pass (LSP) permettono di risolvere in maniera efficiente alcune PDE iperboliche nonlineari: da un lato, localizzando il calcolo su un sottoinsieme ristretto di n...

An easy-to-use numerical approach for simulating traffic flow on networks

We study a simple model for traffic flow on networks based on the LWR model. We consider a system of conservation laws with space-dependent and discontinuous flux, each of which describes the evolutio...

Agent-based models for opinion dynamics

In this talk I will overview the classical models for opinion formation dynamics and related problems (e.g. consensus problem and clustering phenomena) and I will introduce a model in which the agent ...

Polytope joint Lyapunov functions for stable and for stabilizable positive switched systems

We consider "positive" switched linear system of odes and propose a new method for the approximation of the upper Lyapunov exponent and lower Lyapunov exponent. The method is based on the iterative co...

Relaxation and Necessary Conditions for Optimal Control Problems

Relaxation is a procedure in optimal control problem in which extra elements are added to the domain of an optimization problem in order to guarantee the existence of a minimizer. Of course the relaxe...

Zubov's method and Differential Games

Zubov's method is a technique to characterize the domain of attraction of locally asymptotically stable equilibria of an ordinary differential equation (ODE) as the sublevel set of an appropriate Hami...

Policy iteration for stochastic games

Zero-sum stochastic games with finite state and action spaces, perfect information, and mean payoff criteria arise in particular from the monotone discretization of mean-payoff pursuit-evasion determi...

Uncalibrated Photometric Stereo

Shape-from-shading is a well-known, although ill-posed, 3D-reconstruction technique. Photometric stereo is an extension of shape-from-shading, where several light sources are used to illuminate the sc...