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A hybrid Langrangian scheme for vehicular traffic flow
Author(s) -
Moutari S.,
Rascle M.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701103
Subject(s) - toll , scheme (mathematics) , lagrangian , traffic flow (computer networking) , microscopic traffic flow model , flow (mathematics) , computer science , mathematics , transport engineering , mathematical optimization , engineering , computer network , physics , mechanics , traffic generation model , mathematical analysis , genetics , biology
We introduce a fully discrete hybrid scheme for vehicular traffic flow, combining a microscopic description around obstacles such as traffic lights, toll stations, intersections … and a macroscopic description elsewhere. The presented approach is shown to be theoretically rigorous, numerically reliable, and computationally efficient. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)