Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Ferretti, Roberto"'
In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed model paramet
Externí odkaz:
http://arxiv.org/abs/2406.14649
We survey the main numerical techniques for finite-dimensional nonlinear optimal control. The chapter is written as a guide to practitioners who wish to get rapidly acquainted with the main numerical methods used to efficiently solve an optimal contr
Externí odkaz:
http://arxiv.org/abs/2212.03157
Autor:
Cacace, Simone, Ferretti, Roberto
Using characteristics to treat advection terms in time-dependent PDEs leads to a class of schemes, e.g., semi-Lagrangian and Lagrange-Galerkin schemes, which preserve stability under large Courant numbers, and may therefore be appealing in many pract
Externí odkaz:
http://arxiv.org/abs/2104.09189
We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which employs a semi-Lagrangian approach to approximate in time both the advective and the diffusive terms. Stand
Externí odkaz:
http://arxiv.org/abs/2002.04381
We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a "match race" between two sailing boats, namely a competition in which the goal of both players is to proceed in the windward
Externí odkaz:
http://arxiv.org/abs/1906.10968
Publikováno v:
In Handbook of Numerical Analysis 2023 24:559-626
For $\alpha\in (0,2)$ we study the null controllability of the parabolic operator $$Pu= u_t - (\vert x \vert ^\alpha u_x)_x\qquad (1
Externí odkaz:
http://arxiv.org/abs/1807.00026
Autor:
Dweik, Mohammad, Ferretti, Roberto
Publikováno v:
In Neuroscience Informatics September 2022 2(3)
Autor:
Ferretti, Roberto, Festa, Adriano
We present an optimal hybrid control approach to the problem of stochastic route planning for sailing boats, especially in short course fleet races, in which minimum average time is an effective performance index. We show that the hybrid setting is a
Externí odkaz:
http://arxiv.org/abs/1707.08103
A numerical method for the two-dimensional, incompressible Navier--Stokes equations in vorticity--streamfunction form is proposed, which employs semi-Lagrangian discretizations for both the advection and diffusion terms, thus achieving unconditional
Externí odkaz:
http://arxiv.org/abs/1706.03203