Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications
Subtitle: Classical and Non–Classical Advanced Mathematics for Real Life Applications
By: by Massimiliano Daniele Rosini
Contributors: SpringerLink (Online service)
Series: Understanding Complex Systems
Publisher: Springer International Publishing; Imprint: Springer
Published: 2013
Place of publication: Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 226
ISBN-13: 9783319001555
Subjects: Beam Physics Particle Acceleration and Detection; Mathematical physics; Astrophysics and Astroparticles; String Theory Quantum Field Theories; Physics; Particle acceleration
Description: 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.
Table of contents: title: Part I Mathematical Theory; title: Part II Models for Vehicular Traffic; title: Part III Models for Pedestrian Traffic.