In this talk we address the solution of quasilinear elliptic problems of monotone type by using the Mimetic Finite Difference (MFD) method. Under a suitable approximation assumption, we prove that the...
We study a discounted infinite horizon control problem in a stratified setting. We write down an appropriate Hamilton-Jacobi-Bellman equation and prove a comparison principle implying that the value f...
We show that the combined action of similarity and symmetry produces 2D finite differences (2D dynamics) in the limit of 1D finite differences (1D dynamics). This provides a construction of the 2D Lap...
Presento uno schema Semi-Lagrangiano per un sistema di equazioni alle derivate parziali che modellizza un problema di Giochi a Campo Medio. L'approssimazione numerica del sistema introduce notevoli di...
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...
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...
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...
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...
