Brochure di presentazione dell'area
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Presentazione Research Day 2017
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| Topic | People | Description | |
|---|---|---|---|
| Approximations and expansions standard compliant MSC | |||
| Multivariate Polynomial Interpolation |
Leonard Peter Bos |
We study optimal points and their asymptotic distribution for polynomial interpolation on a compact set in R^n | |
| Calculus of variations and optimal control; optimization standard compliant MSC | |||
| Existence theories |
Sisto Baldo |
Minimal surfaces. Calculus of variations on manifolds. | |
| Hamilton-Jacobi theories, including dynamic programming |
Antonio Marigonda |
Nonsmooth Analysis and application to Optmal control. Viscosity solutions of Hamilton-Jacobi equations. | |
| Manifolds |
Sisto Baldo Giacomo Canevari Antonio Marigonda Giandomenico Orlandi Nicola Sansonetto |
Geometric variational and evolution problems: minimal surfaces, motion by mean curvature. Optimal mass transport theory. | |
| Optimality conditions. |
Sisto Baldo |
Asymptotics of variational problems. Variational convergences and Gamma Convergence. Singular perturbations of variational problems. | |
| Variational principles of physics. |
Sisto Baldo |
Variational problems from condensed matter and particle Physics (e.g. Ginzburg-Landau models for superconductivity, Gross-Pitaevskii model for Bose-Einstein condensation, string theory) and their relation with minimal surfaces. | |
| Numerical analysis standard compliant MSC | |||
| Approximation of matrix exponential |
Marco Caliari |
Polynomial approximation of matrix exponential by interpolation at special nodes. | |
| Numerical approximation |
Leonard Peter Bos Marco Caliari |
We implement algorithms to calculate a numerical approximation of a complicated function, defined either directly by an explicit formula or procedure or else, for example, defined indirectly as the solution of a differential equation of some type. | |
| Partial differential equations, initial value and time-dependent initial-boundary value problems |
Giacomo Albi Marco Caliari |
Solution of non-linear Schrödinger, mean-field and Boltzmann-type equations by pseudo-spectral or meshless methods in space and splitting methods in time. | |
| Ordinary differential equations and applications |
Giacomo Albi |
Development of Implicit-Explicit schemes and asymptotic preserving schemes for time dependent problem. Applications in hyperbolic balance laws with diffusive limit and optimal control problems. | |
| Stochastic analysis standard compliant MSC | |||
| Stochastic analysis |
Luca Di Persio |
Stochastic analysis, theory of stochastic partial differential equations in finite/infinite dimension, randomly interacting particle systems,with applications to Mathematical Finance. | |
| Large scale interacting random systems |
Paolo Dai Pra |
Sistemi di particelle interagenti, limiti macroscopici, giochi a campo medio. Applicazioni alla biologia e alla scienze sociali. | |
| Inequalities For maximal function inequalities standard compliant MSC | |||
| Inequalities |
Leonard Peter Bos |
We study polynomial inequalities of Markov/Bernstein type for the derivatives of multivariate polynomials. | |
| Pluripotential theory standard compliant MSC | |||
| Pluripotential theory |
Leonard Peter Bos |
A function defined on C^n is said to be plurisubharmonic if restricted to every complex line it is a subharmonic function of one variable. Pluripodtential Theory is the study of such functions and is, in particular, the correct theory for the study of multivariate polynomials. | |
| Name | Description | URL |
|---|---|---|
| Calculus of Variations and PDE | Il gruppo si occupa di attività di ricerca nel campo del calcolo delle variazioni, teoria geometrica della misura, teoria del controllo ottimo, teoria del trasporto ottimo, e applicazioni. | |
| Contemporary Applied Mathematics | Sviluppo di metodi matematici teorici e computazionali avanzati per fenomeni di trasporto e diffusione in sistemi complessi, l'approssimazione multivariata e problemi di controllo alto dimensionali. | |
| INdAM - Unità di Ricerca dell'Università di Verona | Raccogliamo qui le attività scientifiche dell'Unità di Ricerca dell'Istituto Nazionale di alta Matematica INdAM presso l'Università di Verona | |
| Mathematics - applications and modelling | ||
| Robotica, Intelligenza Artificiale e Controllo | Il gruppo di ricerca si occupa di robotica non convenzionale |
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