02309nmm a2200313 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100003300139245022300172260006200395300003200457505011300489653002500602653003600627653001200663653002600675653004200701653005400743710003400797041001900831989003600850490003400886856007400920082001100994520099001005EB000369046EBX0100000000000000022209800000000000000.0cr|||||||||||||||||||||130626 ||| eng a97833190015551 aRosini, Massimiliano Daniele00aMacroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and ApplicationshElektronische RessourcebClassical and Non–Classical Advanced Mathematics for Real Life Applicationscby Massimiliano Daniele Rosini aHeidelbergbSpringer International Publishingc2013, 2013 aXII, 242 pbonline resource0 aPart I Mathematical Theory -- Part II Models for Vehicular Traffic -- Part III Models for Pedestrian Traffic aMathematical Physics aAstrophysics and Astroparticles aPhysics aParticle acceleration aQuantum Field Theories, String Theory aParticle Acceleration and Detection, Beam Physics2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aUnderstanding Complex Systems uhttp://dx.doi.org/10.1007/978-3-319-00155-5?nosfx=yxVerlag3Volltext0 a523.01 aThis 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.