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Tensor Finite Element Methods for the Spectral Fractional Laplacian

In this talk we discuss the analysis and fast implementation of numerical algorithms for the solution of fractional linear elliptic problems on a bounded domain with a homogeneous Dirichlet boundary c...

Some high order filtered schemes for parabolic Hamilton-Jacobi-Bellman equations

We consider high order numerical schemes for second order Hamilton-Jacobi-Bellman (HJB) equations. For high order approximation schemes (where "high" stands for greater than one), the inevitable loss ...

Degenerate Parabolic Models for Sand Slides

Four phenomena contribute to wind-induced sand movement and eventually to the formation and evolution of dunes: erosion from the sand bed, transport by the wind, sedimentation due to gravity, and sand...

Smooth B-spline construction on meshes with polar singularities

Representing arbitrary surfaces with a finite number of polynomial patches requires the introduction of polar points for high-valence neighborhoods in quadrilateral meshes. Such holes can be filled by...

Problemi di route planning e controllo ibrido

Nella sua formulazione piu' semplice, il problema di "route planning" per imbarcazioni a vela consiste nel minimizzare il tempo medio di arrivo a un dato target in un campo di vento con una componente...

Acoustic and electromagnetic transmission problems: wavenumber-explicit bounds and resonance-free regions

We consider the Helmholtz and the time-harmonic Maxwell transmission problems with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prov...

Mathematical modelling and methods in drug delivery systems

Si offre una panoramica della ricerca svolta su alcuni problemi di reazione-diffusione in ambito biomedico. In particolare si presentano alcuni modelli matematici per il trasporto del farmaco che diff...

Alcuni problemi teorici sul Reinforcement Learning

Il Reinforcement Learning ha attirato l’attenzione in numerose discipline per via della sua velocità nel risolvere problemi computazionalmente costosi. Anche nella teoria del controllo, vari esperti h...

Towards a generalized limiter for nonlinear conservation laws through domain adaptation

The first part of the talk is about the design of parameter free limiter for hyperbolic conservation laws, which is agnostic to the mathematical model and underlying numerical method. A neural network...

A convergent difference scheme for Hamilton-Jacobi equations with arbitrary domains

In this presentation, we focus on stationary first-order Hamilton-Jacobi equations with arbitrary two-dimensional domains. Our aim is to implement a finite-difference scheme that satisfies monotonicit...
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