This monograph presents a systematic treatment of the theory for hyperbolic conservation laws and their applications to vehicular traffics and crowd dynamics. In the first part of the book, the author presents very basic considerations and gradually introduces the mathematical tools necessary to describe and understand the mathematical models developed in the following parts focusing on vehicular and pedestrian traffic. The book is a self-contained valuable resource for advanced courses in mathematical modeling, physics and civil engineering. A number of examples and figures facilitate a better understanding of the underlying concepts and motivations for the students. Important new techniques are presented, in particular the wave front tracking algorithm, the operator splitting approach, the non-classical theory of conservation laws and the constrained problems. This book is the first to present a comprehensive account of these fundamental new mathematical advances.


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    Title :

    Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications : Classical and Non–Classical Advanced Mathematics for Real Life Applications


    Contributors:


    Publication date :

    2013


    Size :

    Online-Ressource (XII, 226 p. 104 illus, digital)


    Remarks:

    Campusweiter Zugriff (Universität Hannover). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.




    Type of media :

    Book


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    BKL:    55.84 Straßenverkehr / 50.03 Methoden und Techniken der Ingenieurwissenschaften / 33.06 Mathematische Methoden der Physik
    RVK:    QR 800
    MSC:    35L67 / 90B20 / *35-02 / 35L65
    DDC:    523.01





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