MC 5501 and Zoom (Please contactÌýrgugliel@uwaterloo.ca for meetingÌýlink)Ìý
Ìý
Speaker
Adriano Festa, Associate Professor,ÌýDepartment of Mathematical Sciences at the Technical university of Turin
Title
A semi-Lagrangian scheme for Hamilton-Jacobi equations onÌýnetworks and its application to vehicular traffic models
Abstract
We present a semi-Lagrangian scheme for the approximation of a class of Hamilton-Jacobi-Bellman (HJB) equations on networks. The scheme is explicit, consistent, and stable forÌýlarge time steps. We prove a convergence result and two error estimates. For an HJB equationÌýwith space-independent Hamiltonian, we obtain a first order error estimate. In the general case, weÌýprovide, under a hyperbolic CFL condition, a convergence estimate of order one half. The theoreticalÌýresults are discussed and validated in a numerical tests section, where we show some application of the techniques proposed to the approximation of traffic flows.