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...
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...
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 ...
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...
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...
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...
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 ...
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 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 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...
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...
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...