February 25, 2010
Title: Numerical methods for traffic flow models
Abstract: Numerical methods are presented to solve a macroscopic traffic flow model on a circular road with a bottle neck. Results are compared to Bando's microscopic model. Methods include transient simulation with Runge Kutta algorithms as well as steady state simulations with a modified Newton's method. Traffic flow patterns are obtained for a variety of parameters including linearly unstable cases.