6 papers
Ensemble Kalman Inversion as an Inertial Interacting Particle System
Michael Herty, Pierpaolo Porretta, Giuseppe Visconti
Ensemble Kalman Inversion (EKI) is a derivative-free, ensemble-based method for inverse and optimization problems. Its continuous-time formulation can be interpreted as an interact…
Agent-Based Optimal Control for Image Processing
Alessio Oliviero, Simone Cacace, Giuseppe Visconti
We investigate the use of multi-agent systems to solve classical image processing tasks, such as colour quantization and segmentation. We frame the task as an optimal control probl…
Relaxation and stability analysis of a third-order multiclass traffic flow model
Stephan Gerster, Giuseppe Visconti
Traffic flow modeling spans a wide range of mathematical approaches, from microscopic descriptions of individual vehicle dynamics to macroscopic models based on aggregate quantitie…
Dissipation-dispersion analysis of fully-discrete implicit discontinuous Galerkin methods and application to stiff hyperbolic problems
Maya Briani, Gabriella Puppo, Giuseppe Visconti
The application of discontinuous Galerkin (DG) schemes to hyperbolic systems of conservation laws requires a careful interplay between space discretization, carried out with local…
Second-order multilane traffic flow models: from the microscopic to the macroscopic scale
Matteo Piu, Giuseppe Visconti, Gabriella Puppo
This study addresses multilane vehicular traffic modelling, focusing on the rigorous transition from microscopic (individual vehicle-based) to macroscopic (aggregate flow-based) de…
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function
Stephan Gerster, Aleksey Sikstel, Giuseppe Visconti
This work is devoted to the Galerkin projection of highly nonlinear random quantities. The dependency on a random input is described by Haar-type wavelet systems. The classical Haa…