Articolo in rivista

Lattice Boltzmann model for anisotropic liquid-solid phase transition

By improving a one-dimensional model proposed by De Fabritiis, Mancini, Mansutti and Succi in 1998, we develop a simple reaction model for liquid-solid phase transitions in the context of the lattice Boltzmann method with enhanced collisions.Calculations for a two-dimensional test problem of…

Gamma-convergence analysis for discrete topological singularities: The anisotropic triangular lattice and the long range interaction energy

We consider 2D discrete systems, described by scalar functions and governed by periodic interaction potentials. We focus on anisotropic nearest neighbors interactions in the hexagonal lattice and on isotropic long range interactions in the square lattice. In both these cases, we perform a complete…

Runge-Kutta Discretizations of Infinite Horizon Optimal Control Problems with Steady-State Invariance

Direct numerical approximation of a continuous-time infinite horizon control problem, requires to recast the model as a discrete-time, finite-horizon control model. The quality of the optimization results can be heavily degraded if the discretization process does not take into account features of…

Wavelets and pde for image denoising

Intermittency in turbulence: Computing the scaling exponents in shell models

We discuss a stochastic closure for the equation of motion satisfied by multiscale correlation functions in the framework of shell models of turbulence. We present a plausible closure scheme to calculate the anomalous scaling exponents of structure functions by using the exact constraints imposed…

On the filtered polynomial interpolation at Chebyshev nodes

The paper deals with a special filtered approximation method, which originates interpolation polynomials at Chebyshev zeros by using de la Vallée Poussin filters. In order to get an optimal approximation in spaces of locally continuous functions equipped with weighted uniform norms, the related…

Linear and anomalous front propagation in systems with non-Gaussian diffusion: The importance of tails

We investigate front propagation in systems with diffusive and subdiffusive behavior. The scaling behavior of moments of the diffusive problem, both in the standard and in the anomalous cases, is not enough to determine the features of the reactive front. In fact, the shape of the bulk of the…

Detection of Gaussian signals via hexagonal sensor networks

Simulating the ruin probability of risk processes with delay in claim settlement

Using importance sampling we give an asymptotic efficient simulation law for risk processes with delayed claims

Contrasting the spread of misinformation in online social networks

Online social networks are nowadays one of the most effective and widespread tools used to share information. In addition to being employed by individuals for communicating with friends and acquaintances, and by brands for marketing and customer service purposes, they constitute a primary source of…