57 citations · 143 across the 21 of their papers we have counts for
4 papers · 1 filter
Error analysis for POD Approximations of infinite horizon problems via the Dynamic Programming approach
Alessandro Alla, Maurizio Falcone, Stefan Volkwein
In this paper infinite horizon optimal control problems for nonlinear high-dimensional dynamical systems are studied. Nonlinear feedback laws can be computed via the value function…
A dynamic domain decomposition for a class of second order semi-linear equations
Simone Cacace, Maurizio Falcone
We propose a parallel algorithm for the numerical solution of a class of second order semi-linear equations coming from stochastic optimal control problems, by means of a dynamic d…
Analysis and approximation of some Shape-from-Shading models for non-Lambertian surfaces
Silvia Tozza, Maurizio Falcone
The reconstruction of a 3D object or a scene is a classical inverse problem in Computer Vision. In the case of a single image this is called the Shape-from-Shading (SfS) problem an…
An efficient filtered scheme for some first order Hamilton-Jacobi-Bellman equations
Olivier Bokanowski, Maurizio Falcone, Smita Sahu
We introduce a new class of "filtered" schemes for some first order non-linear Hamilton-Jacobi-Bellman equations. The work follows recent ideas of Froese and Oberman (SIAM J. Numer…