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

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 de...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rosini, Massimiliano Daniele (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Understanding Complex Systems,
Temas:
Dynamics.
Nonlinear theories.
Nonlinear Optics.
Applied Dynamical Systems.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications  |h [electronic resource] :  |b Classical and Non-Classical Advanced Mathematics for Real Life Applications /  |c by Massimiliano Daniele Rosini. 
250 |a 1st ed. 2013. 
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300 |a XII, 242 p.  |b online resource. 
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490 1 |a Understanding Complex Systems,  |x 1860-0840 
505 0 |a Part I Mathematical Theory -- Part II Models for Vehicular Traffic -- Part III Models for Pedestrian Traffic. 
520 |a 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.  . 
650 0 |a Dynamics. 
650 0 |a Nonlinear theories. 
650 0 |a Nonlinear Optics. 
650 1 4 |a Applied Dynamical Systems. 
650 2 4 |a Nonlinear Optics. 
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