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February 25, 2010

Speaker: Ian Milton, MSc Modelling and Computational Science, Faculty of Science, University of Ontario Institute of Technology

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.