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Numerical discretization of Hamilton--Jacobi equations on networks
2013
Networks and Heterogeneous Media
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We discuss a numerical discretization of Hamilton-Jacobi equations on networks. The latter arise for example as reformulation of the Lighthill-Whitham-Richards traffic flow model. We present coupling conditions for the Hamilton-Jacobi equations and derive a suitable numerical algorithm. Numerical computations of travel times in a round-about are given. 2010 Mathematics Subject Classification. Primary: 90B20, 35L50; Secondary: 35F21.
doi:10.3934/nhm.2013.8.685
fatcat:zkdb4jjqhrfyzfxmdqdstivcfa