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arxiv: math/0406214 · v1 · submitted 2004-06-10 · 🧮 math.DS

Traffic Flow Models and Their Numerical Solutions

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keywords trafficflowmodelsorderriemannalternativeanalysisdeveloped
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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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