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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...

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...

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...

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 ...

Generazione di modelli surrogati monodimensionali mediante riduzione gerarchica: teoria e pratica

Molte applicazioni avanzate del Calcolo Scientifico ricorrono a modelli semplificati in grado di ridurre i costi computazionali senza compromettere l'affidabilità modellistica. La riduzione gerarchica...

A variational approach to second order mean field games systems with density constraints: the stationary case

In this work we study second order stationary Mean Field Game systems under density constraints. We show the existence of weak solutions for power-like Hamiltonians with arbitrary order of growth. The...

Uno schema semi-lagrangiano accoppiato ad approssimazioni a Base Radiale per la ricostruzione di superfici

Proponiamo uno schema semi-lagrangiano accoppiato a tecniche di interpolazione con Basi Radiali, per approssimare un modello di flusso a curvatura media di tipo level-set, proposto da Zhao et al. (200...

Exact solution for rain-water flows and numerical simulation of surface runoff

We are interested in modeling and simulating surface runoff in urban areas during extreme rainfall events. We propose an extended Saint-Venant system which incorporates an additional rain term on the ...

Variational methods for photometric 3D-reconstruction

Energy minimization methods have been shown to be particularly effective for solving a wide class of inverse problems in computer vision and image processing. Variational methods are energy minimizati...

Il modello di Burridge-Knopoff: studio e simulazione di fenomeni sismici

Si intende proporre l'analisi di un modello matematico appositamente ideato per lo studio delle dinamiche alla base della genesi dei terremoti. Una delle caratteristiche salienti del sistema differenz...

Some theoretical results about the normalized p-Laplacian based on its numerical analysis

A numerical scheme developed by Falcone, Finzi Vita, Giorgi and myself will be discussed for approximating the p-Laplacian based on a 2-player game called tug-of-war with noise. Consequential numerica...

Optimization and model reduction of a permanent magnet machine

In an electromagnetic machine with permanent magnets the excitation field is provided by a permanent magnet instead of a coil. The center of the generator, the rotor, contains the magnet. Our optimiza...