Maurizio Falcone

Pubblicazioni

Titolo	Pubblicato in	Anno
A HJB-POD feedback synthesis approach for the wave equation	BULLETIN BRAZILIAN MATHEMATICAL SOCIETY	2016
A dynamic domain decomposition for the eikonal-diffusion equation	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S	2016
Numerical methods for Hamilton–Jacobi type equations	Handbook of Numerical Analysis	2016
Coupling MPC and DP methods for an efficient solution of optimal control problems	IFIP Advances in Information and Communication Technology	2016
Numerical Methods for Hamilton–Jacobi Type Equations	Handbook of Numerical Methods for Hyperbolic Problems: basic and fundamental issues	2016
An efficient policy iteration algorithm for dynamic programming equations	SIAM JOURNAL ON SCIENTIFIC COMPUTING	2015
Optimal control and the Dynamic Programming Principle	Encyclopedia of Systems and Control	2015
An accelerated value/policy iteration scheme for optimal control problems and games	Lecture Notes in Computational Science and Engineering	2015
Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS	2015

My research activity is focused on the analysis and approximation of mathematical models in the following areas:

Optimal control and differential games - Computer vision - Image processing - Granular matter - Reinforcement Learning

In particular, I am working in Numerical Analysis to develop and analyze new schemes for evolutive partial differential equations.

semi-lagrangian schemes

First order hyperbolic equations

Optimal control theory

Differential games

Front propagation

Shape-from-shading

Granular matter

Image processing

deep reinforcement learning