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
Autor Principal: Rosini, Massimiliano, 19..-
Formato: Livre numérique
Idioma:Anglais
Publicado: Cham : Springer International Publishing [20..].
Cham : Springer Nature
Edición:1st ed. 2013.
Series:Understanding Complex Systems
Acceso en liña:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications, Texte imprimé, 9783319001548
• Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications, Texte imprimé, 9783319001562
• Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications, Texte imprimé, 9783319033488
• Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications, Texte imprimé, 9783319001548
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245 1 0 |a Macroscopic models for vehicular flows and crowd dynamics :  |b theory and applications : classical and non classical advanced mathematics for real life applications   |c by Massimiliano Daniele Rosini. 
250 |a 1st ed. 2013. 
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505 1 |a Part I Mathematical Theory Part II Models for Vehicular Traffic Part III Models for Pedestrian Traffic 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
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.  
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