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Numerical discretization of Hamilton--Jacobi equations on networks

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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.
    Mathematics Subject Classification: Primary: 90B20, 35L50; Secondary: 35F21.


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