Traffic Flow Modeling & Management

A Meeting on Mathematical Problems Motivated by Traffic

Brescia, 19 - 20.01.2006

Numerical Simulation of Traffic Flows by Partial Differential Equations

Lorenzo Pareschi

We will shortly review some of the basic features in modelling of traffic flows by PDEs. These include both macroscopic modelling and kinetic modelling. We then focus on the numerical solutions of such equations by introducing either deterministic techniques based on finite differences/finite volumes as well as stochastic Monte Carlo simulation methods. Several numerical results and applications to roads networks are also shown.
Back