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Time-stepping methods for wave scattering problems

We consider the numerical approximation of retarded potentials arising in wave scattering problems. For the temporal approximation we consider a generalization of Lubich's Convolution Quadrature which...

Geometric problems related to the inhomogeneous infinity Laplace equation

We discuss some recent results related to the homogeneous Dirichlet problem for the infinity Laplace equation with constant source in a bounded domain. We characterize the geometry of domains for whic...

Geometria e astronomia

(seminario rivolto a tutti i docenti della Scuola dell'obbligo)...

Asymptotic-preserving methods: a new paradigm for multiscale differential problems

The concept of an Asymptotic-Preserving (AP) method makes a breakthrough in the numerical resolution of multiscale differential problems. AP schemes are extremely powerful tools as they permit the use...

Large time behavior for diffusion equations in unbounded domains

The asymptotic decay rate and other qualitative features of solutions to parabolic equations set in noncompact domains of RN, or Riemannian manifolds, depend in general on a suitable notion of the geo...

Optimal control of leukemic cell population dynamics

We are interested in optimizing the co-administration of two drugs for some acute myeloid leukemias (AML), and we are looking for in vitro protocols as a first step. This issue can be formulated as an...

Plasma Oscillations: analysis of dispersive behavior and acoustic waves

We perform a rigorous analysis of the quasineutral limit for a hydrodynamical models of viscous plasmas represented by the Navier Stokes Poisson system in 3-D. A common feature of this kind of limits ...

Diffusione e superdiffusione dell'energia in catene di oscillatori

In catene unidimensonali tipo FPU la conduttività termica e' infinita e ci si aspetta una superdiffusione dell'energia. In una catena di oscillatori armonici con collisioni stocastiche conservan...

The winding number of planar Brownian motion

From an explicit formula for the joint density of the radial part and the winding number of a planar Brownian motion, we obtain asymptotic expansions (as t tends to infinity) for the density of the wi...

La sfera, e le sue simmetrie, da tanti punti di vista

(seminario rivolto a tutti i docenti della Scuola dell'obbligo)...

Algoritmi ibridi per l'ottimizzazione globale

I continui sviluppi delle piattaforme computazionali e delle tecniche di analisi numerica hanno ridotto in maniera significativa i tempi necessari al completamento di una singola simulazione numerica ...