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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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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 (Hardcover, 2013 ed.)
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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 (Hardcover, 2013 ed.)
Series: Understanding Complex Systems
Expected to ship within 10 - 15 working days
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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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