Cargando…

Multiscale Modeling of Pedestrian Dynamics

This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The bac...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cristiani, Emiliano (Autor), Piccoli, Benedetto (Autor), Tosin, Andrea (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:MS&A, Modeling, Simulation and Applications, 12
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-06620-2
003 DE-He213
005 20220118035504.0
007 cr nn 008mamaa
008 140912s2014 sz | s |||| 0|eng d
020 |a 9783319066202  |9 978-3-319-06620-2 
024 7 |a 10.1007/978-3-319-06620-2  |2 doi 
050 4 |a QA370-380 
072 7 |a PBKJ  |2 bicssc 
072 7 |a MAT007000  |2 bisacsh 
072 7 |a PBKJ  |2 thema 
082 0 4 |a 515.35  |2 23 
100 1 |a Cristiani, Emiliano.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Multiscale Modeling of Pedestrian Dynamics  |h [electronic resource] /  |c by Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a XVI, 260 p. 62 illus., 45 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a MS&A, Modeling, Simulation and Applications,  |x 2037-5263 ;  |v 12 
505 0 |a 1 An Introduction to the Modeling of Crowd Dynamics -- 2 Problems and Simulations -- 3 Psychological Insights -- 4 An Overview of the Modeling of Crowd Dynamics -- 5 Multiscale Modeling by Time-Evolving Measures -- 6 Basic Theory of Measure-Based Models -- 7 Evolution in Measure Spaces with Wasserstein Distance -- 8 Generalizations of the Multiscale Approach -- 9 Appendices: A Basics of Measure and Probability Theory; B Pseudo-Code for the Multiscale Algorithm. 
520 |a This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The background idea is indeed that most of the complex trends exhibited by crowds are due to an intrinsic interplay between individual and collective behaviors. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures susceptible of application also in fields different from the inspiring original one. The book considers also the two most traditional points of view: the microscopic one, in which pedestrians are tracked individually, and the macroscopic one, in which pedestrians are assimilated to a continuum. Selected existing models are critically analyzed. The work is addressed to researchers and graduate students. 
650 0 |a Differential equations. 
650 0 |a System theory. 
650 0 |a Mathematical physics. 
650 0 |a Mathematical models. 
650 0 |a Game theory. 
650 0 |a Mathematics. 
650 1 4 |a Differential Equations. 
650 2 4 |a Complex Systems. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Mathematical Modeling and Industrial Mathematics. 
650 2 4 |a Game Theory. 
650 2 4 |a Applications of Mathematics. 
700 1 |a Piccoli, Benedetto.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Tosin, Andrea.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319066219 
776 0 8 |i Printed edition:  |z 9783319066196 
776 0 8 |i Printed edition:  |z 9783319361215 
830 0 |a MS&A, Modeling, Simulation and Applications,  |x 2037-5263 ;  |v 12 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-06620-2  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)