Macroscopic Models For Vehicular Flows And Crowd Dynamics Theory And Applications

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Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications

Massimiliano Daniele Rosini
Macroscopic Models for Vehicular Flows and Crowd Dynamics Theory and Applications Book PDF

Author : Massimiliano Daniele Rosini
Publisher : Springer
Page : 242 pages
File Size : 41,9 Mb
Release : 2013-03-15
Category : Technology & Engineering
ISBN : 9783319001555

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Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications by Massimiliano Daniele Rosini Pdf

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.

Crowd Dynamics, Volume 4

Nicola Bellomo,Livio Gibelli
Crowd Dynamics Volume 4 Book PDF

Author : Nicola Bellomo,Livio Gibelli
Publisher : Springer Nature
Page : 250 pages
File Size : 54,7 Mb
Release : 2023-12-13
Category : Mathematics
ISBN : 9783031463594

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Crowd Dynamics, Volume 4 by Nicola Bellomo,Livio Gibelli Pdf

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. The volume begins with an overview of analytical problems related to crowd modeling. Attention is then given to the importance of considering the social and psychological factors that influence crowd behavior – such as emotions, communication, and decision-making processes – in order to create reliable models. Finally, specific features of crowd behavior are explored, including single-file traffic, passenger movement, modeling multiple groups in crowds, and the interplay between crowd dynamics and the spread of disease. Crowd Dynamics, Volume 4 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.

Crowd Dynamics, Volume 1

Livio Gibelli,Nicola Bellomo
Crowd Dynamics Volume 1 Book PDF

Author : Livio Gibelli,Nicola Bellomo
Publisher : Springer
Page : 292 pages
File Size : 41,7 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9783030051297

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Crowd Dynamics, Volume 1 by Livio Gibelli,Nicola Bellomo Pdf

This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities. Experts in various areas apply their unique perspectives to specific aspects of crowd dynamics, covering the topic from multiple angles. These include a demonstration of how virtual reality may solve dilemmas in collecting empirical data; a detailed study on pedestrian movement in smoke-filled environments; a presentation of one-dimensional conservation laws with point constraints on the flux; a collection of new ideas on the modeling of crowd dynamics at the microscopic scale; and others. Applied mathematicians interested in crowd dynamics, pedestrian movement, traffic flow modeling, urban planning, and other topics will find this volume a valuable resource. Additionally, researchers in social psychology, architecture, and engineering may find this information relevant to their work.

Multiscale Modeling of Pedestrian Dynamics

Emiliano Cristiani,Benedetto Piccoli,Andrea Tosin
Multiscale Modeling of Pedestrian Dynamics Book PDF

Author : Emiliano Cristiani,Benedetto Piccoli,Andrea Tosin
Publisher : Springer
Page : 262 pages
File Size : 45,6 Mb
Release : 2014-09-12
Category : Mathematics
ISBN : 9783319066202

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Multiscale Modeling of Pedestrian Dynamics by Emiliano Cristiani,Benedetto Piccoli,Andrea Tosin Pdf

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.

Active Particles, Volume 1

Nicola Bellomo,Pierre Degond,Eitan Tadmor
Active Particles Volume 1 Book PDF

Author : Nicola Bellomo,Pierre Degond,Eitan Tadmor
Publisher : Birkhäuser
Page : 402 pages
File Size : 45,5 Mb
Release : 2017-04-06
Category : Mathematics
ISBN : 9783319499963

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Active Particles, Volume 1 by Nicola Bellomo,Pierre Degond,Eitan Tadmor Pdf

This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

Traffic Flow Dynamics

Martin Treiber,Arne Kesting
Traffic Flow Dynamics Book PDF

Author : Martin Treiber,Arne Kesting
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 40,6 Mb
Release : 2012-10-11
Category : Science
ISBN : 9783642324598

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Traffic Flow Dynamics by Martin Treiber,Arne Kesting Pdf

This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specialized monographs, accessible to a broad readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineering and, more generally, also at students and professionals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The main part, after presenting different categories of traffic data, is devoted to a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopic many-particle models in which each particle corresponds to a vehicle and its driver. Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way. Finally, the theoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transportation systems, traffic operations management, and a detailed physics-based model for fuel consumption and emissions.

Anomalies in Partial Differential Equations

Massimo Cicognani,Daniele Del Santo,Alberto Parmeggiani,Michael Reissig
Anomalies in Partial Differential Equations Book PDF

Author : Massimo Cicognani,Daniele Del Santo,Alberto Parmeggiani,Michael Reissig
Publisher : Springer Nature
Page : 469 pages
File Size : 41,8 Mb
Release : 2021-02-03
Category : Mathematics
ISBN : 9783030613464

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Anomalies in Partial Differential Equations by Massimo Cicognani,Daniele Del Santo,Alberto Parmeggiani,Michael Reissig Pdf

The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness and local solvability for linear models with low regular coefficients. Moreover, nonlinear dispersive models (damped waves, p-evolution models) are discussed from the point of view of critical exponents, blow-up phenomena or decay estimates for Sobolev solutions. Some contributions are devoted to models from applications as traffic flows, Einstein-Euler systems or stochastic PDEs as well. Finally, several contributions from Harmonic and Time-Frequency Analysis, in which the authors are interested in the action of localizing operators or the description of wave front sets, complete the volume.

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6

Yurij Holovatch
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 6 Book PDF

Author : Yurij Holovatch
Publisher : World Scientific
Page : 294 pages
File Size : 48,8 Mb
Release : 2020-06-22
Category : Science
ISBN : 9789811216237

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Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 by Yurij Holovatch Pdf

This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.

Hyperbolic and Kinetic Models for Self-organised Biological Aggregations

Raluca Eftimie
Hyperbolic and Kinetic Models for Self organised Biological Aggregations Book PDF

Author : Raluca Eftimie
Publisher : Springer
Page : 280 pages
File Size : 53,6 Mb
Release : 2019-01-07
Category : Mathematics
ISBN : 9783030025861

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Hyperbolic and Kinetic Models for Self-organised Biological Aggregations by Raluca Eftimie Pdf

This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly illustrated, the book offers a valuable guide for researchers new to the field, and is also suitable as a textbook for senior undergraduate or graduate students in mathematics or related disciplines.

Crowd Dynamics, Volume 2

Livio Gibelli
Crowd Dynamics Volume 2 Book PDF

Author : Livio Gibelli
Publisher : Springer Nature
Page : 224 pages
File Size : 46,7 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9783030504502

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Crowd Dynamics, Volume 2 by Livio Gibelli Pdf

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. After providing a critical analysis of the current state of the field and an overview of the current research perspectives, chapters focus on three main research areas: pedestrian interactions, crowd control, and multiscale modeling. Specific topics covered in this volume include: crowd dynamics through conservation laws recent developments in controlled crowd dynamics mixed traffic modeling insights and applications from crowd psychology Crowd Dynamics, Volume 2 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.

Computational Science and Its Applications -- ICCSA 2015

Osvaldo Gervasi,Beniamino Murgante,Sanjay Misra,Marina L. Gavrilova,Ana Maria Alves Coutinho Rocha,Carmelo Torre,David Taniar,Bernady O. Apduhan
Computational Science and Its Applications ICCSA 2015 Book PDF

Author : Osvaldo Gervasi,Beniamino Murgante,Sanjay Misra,Marina L. Gavrilova,Ana Maria Alves Coutinho Rocha,Carmelo Torre,David Taniar,Bernady O. Apduhan
Publisher : Springer
Page : 826 pages
File Size : 53,6 Mb
Release : 2015-06-20
Category : Computers
ISBN : 9783319214702

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Computational Science and Its Applications -- ICCSA 2015 by Osvaldo Gervasi,Beniamino Murgante,Sanjay Misra,Marina L. Gavrilova,Ana Maria Alves Coutinho Rocha,Carmelo Torre,David Taniar,Bernady O. Apduhan Pdf

The five-volume set LNCS 9155-9159 constitutes the refereed proceedings of the 15th International Conference on Computational Science and Its Applications, ICCSA 2015, held in Banff, AB, Canada, in June 2015. The 232 revised full papers presented in 22 workshops and a general track were carefully reviewed and selected from 780 initial submissions for inclusion in this volume. They cover various areas in computational science ranging from computational science technologies to specific areas of computational science such as computational geometry and security.

Public-Key Cryptography -- PKC 2015

Jonathan Katz
Public Key Cryptography PKC 2015 Book PDF

Author : Jonathan Katz
Publisher : Springer
Page : 824 pages
File Size : 54,5 Mb
Release : 2015-03-16
Category : Computers
ISBN : 9783662464472

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Public-Key Cryptography -- PKC 2015 by Jonathan Katz Pdf

This book constitutes the refereed proceedings of the 18th International Conference on Practice and Theory in Public-Key Cryptography, PKC 2015, held in Gaithersburg, MD, USA, in March/April 2015. The 36 papers presented in this volume were carefully reviewed and selected from 118 submissions. They are organized in topical sections named: public-key encryption; e-cash; cryptanalysis; digital signatures; password-based authentication; pairint-based cryptography; efficient constructions; cryptography with imperfect keys; interactive proofs; lattice-based cryptography; and identity-based, predicate, and functional encryption.

Modern Problems in Applied Analysis

Piotr Drygaś,Sergei Rogosin
Modern Problems in Applied Analysis Book PDF

Author : Piotr Drygaś,Sergei Rogosin
Publisher : Birkhäuser
Page : 214 pages
File Size : 41,8 Mb
Release : 2018-03-21
Category : Mathematics
ISBN : 9783319726403

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Modern Problems in Applied Analysis by Piotr Drygaś,Sergei Rogosin Pdf

This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Crowd Dynamics by Kinetic Theory Modeling

Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff
Crowd Dynamics by Kinetic Theory Modeling Book PDF

Author : Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff
Publisher : Morgan & Claypool Publishers
Page : 100 pages
File Size : 49,9 Mb
Release : 2020-10-22
Category : Science
ISBN : 9781681739946

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Crowd Dynamics by Kinetic Theory Modeling by Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff Pdf

The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.

Hyperbolic Problems: Plenary and invited talks

Eitan Tadmor,Jian-Guo Liu,Athanasios E. Tzavaras
Hyperbolic Problems Plenary and invited talks Book PDF

Author : Eitan Tadmor,Jian-Guo Liu,Athanasios E. Tzavaras
Publisher : American Mathematical Soc.
Page : 999 pages
File Size : 54,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847299

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Hyperbolic Problems: Plenary and invited talks by Eitan Tadmor,Jian-Guo Liu,Athanasios E. Tzavaras Pdf

The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This was the twelfth meeting in the bi-annual international series of HYP conferences which originated in 1986 at Saint-Etienne, France, and over the last twenty years has become one of the highest quality and most successful conference series in Applied Mathematics. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference. These original research and review papers written by leading experts as well as promising young scientists represent the state-of-the-art research frontiers in hyperbolic equations and related problems, ranging from theoretical analysis to algorithm development and applications in physical sciences and engineering. This volume will bring readers to the forefront of research in this most active and important area in applied mathematics.