TY  - BOOK
AU  - Rosini,Massimiliano Daniele
ED  - SpringerLink (Online service)
TI  - Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications: Classical and Non–Classical Advanced Mathematics for Real Life Applications 
T2  - Understanding Complex Systems,
SN  - 9783319001555
AV  - QA76.9.M35 
U1  - 620 23
PY  - 2013///
CY  - Heidelberg
PB  - Springer International Publishing, Imprint: Springer
KW  - Engineering
KW  - Statistical physics
KW  - Complexity, Computational
KW  - Complexity
KW  - Nonlinear Dynamics
N1  - Part I Mathematical Theory -- Part II Models for Vehicular Traffic -- Part III Models for Pedestrian Traffic
N2  - 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.  
UR  - http://dx.doi.org/10.1007/978-3-319-00155-5
ER  -