Abstract
In this paper a second order vehicular macroscopic model is derived from a microscopic car–following type model and it is analyzed. The source term includes nonlocal anticipation terms. A Finite Volume Lagrange–remap scheme is proposed.
MSC2010: 65M08, 65M22, 65P40, 65Y20, 65Z05
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De Vuyst, F., Ricci, V., Salvarani, F. (2011). Nonlocal Second Order Vehicular Traffic Flow Models And Lagrange-Remap Finite Volumes. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_82
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DOI: https://doi.org/10.1007/978-3-642-20671-9_82
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