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Cover: 9783319001548 | Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory...
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Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications
Classical and Non¿Classical Advanced Mathematics for Real Life Applications
Buch von Massimiliano Daniele Rosini
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Presents macroscopic models for vehicular and pedestrian dynamics

The described models are simple enough to permit a complete understanding, but rich enough to describe important phenomena typical of urban traffic

Introduces to more specialized investigations, such as traffic on networks, supply chains, telecommunications, blood flow, phase transitions, fluid dynamics

Inhaltsverzeichnis
Part I Mathematical Theory.- Part II Models for Vehicular Traffic.- Part III Models for Pedestrian Traffic.
Details
Erscheinungsjahr: 2013
Fachbereich: Technik allgemein
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Understanding Complex Systems
Inhalt: xii
242 S.
ISBN-13: 9783319001548
ISBN-10: 331900154X
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Rosini, Massimiliano Daniele
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Understanding Complex Systems
Maße: 241 x 160 x 19 mm
Von/Mit: Massimiliano Daniele Rosini
Erscheinungsdatum: 31.05.2013
Gewicht: 0,553 kg
Artikel-ID: 105943056
Zusammenfassung

Presents macroscopic models for vehicular and pedestrian dynamics

The described models are simple enough to permit a complete understanding, but rich enough to describe important phenomena typical of urban traffic

Introduces to more specialized investigations, such as traffic on networks, supply chains, telecommunications, blood flow, phase transitions, fluid dynamics

Inhaltsverzeichnis
Part I Mathematical Theory.- Part II Models for Vehicular Traffic.- Part III Models for Pedestrian Traffic.
Details
Erscheinungsjahr: 2013
Fachbereich: Technik allgemein
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Understanding Complex Systems
Inhalt: xii
242 S.
ISBN-13: 9783319001548
ISBN-10: 331900154X
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Rosini, Massimiliano Daniele
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Understanding Complex Systems
Maße: 241 x 160 x 19 mm
Von/Mit: Massimiliano Daniele Rosini
Erscheinungsdatum: 31.05.2013
Gewicht: 0,553 kg
Artikel-ID: 105943056
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