Traffic Flow Models and Their Numerical Solutions

Details Traffic Flow Models and Their Numerical Solutions Traffic Flow Models and Their Numerical Solutions

2004-06-10

arxiv.org/abs/math/0406214v1

Mathematics

Dynamical Systems

Master Thesis

Scientific paper

In this thesis, Riemann problems and Godunov methods are developed for higher
order traffic flow models. A rigorous analysis of the first order traffic flow
model of inhomogeneous road is presented. A two-level simulation framework of
network vehicular traffic is proposed as a Godunov-type finite difference
system with the supply-demand method as an alternative of Riemann solver.

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