Modeling And Simulation For Collective Dynamics
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Modeling And Simulation For Collective Dynamics
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Author : Weizhu Bao
language : en
Publisher: World Scientific
Release Date : 2023-01-17
Modeling And Simulation For Collective Dynamics written by Weizhu Bao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-17 with Mathematics categories.
The thematic program Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications was held at the Institute for Mathematical Sciences at the National University of Singapore, from September 2019 to March 2020. Leading experts presented tutorials and special lectures geared towards the participating graduate students and junior researchers.Readers will find in this significant volume four expanded lecture notes with self-contained tutorials on modeling and simulation for collective dynamics including individual and population approaches for population dynamics in mathematical biology, collective behaviors for Lohe type aggregation models, mean-field particle swarm optimization, and consensus-based optimization and ensemble Kalman inversion for global optimization problems with constraints.This volume serves to inspire graduate students and researchers who will embark into original research work in kinetic models for collective dynamics and their applications.
Collective Dynamics From Bacteria To Crowds
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Author : Adrian Muntean
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-18
Collective Dynamics From Bacteria To Crowds written by Adrian Muntean and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-18 with Science categories.
Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.
Modeling And Simulation Of Complex Collective Systems
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Author : Jarosław Wąs
language : en
Publisher: CRC Press
Release Date : 2023-10-10
Modeling And Simulation Of Complex Collective Systems written by Jarosław Wąs and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-10 with Computers categories.
Providing a comprehensive overview of the modelling of complex systems, with particular emphasis on the collective aspects of these systems Particularly focuses on Wolfram's theses found in 'A New Kind of Science', exploring where it is best to use a cellular automaton and when it is best to use a traditional method such as one based on differential equations Discussions draw on a range of fascinating examples, including crowd dynamics, car traffic, downhill skiers and oil spreading across the sea surface
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences
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Author : Giovanni Naldi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-12
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences written by Giovanni Naldi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Mathematics categories.
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences
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Author : Giovanni Naldi
language : en
Publisher:
Release Date : 2010
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences written by Giovanni Naldi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Collective behavior categories.
Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely related models. Systems made out of a large enough number of individual members can be said to exhibit a collective behavior, from which insight can be gathered in a way that real-life experiments cannot. Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. Specific topics covered include: * analysis of wealth distributions * dynamics of price formation * spreading of opinions * models of social behavior * population dynamics * aggregation and swarming The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences
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Author : Giovanni Naldi
language : en
Publisher: Birkhäuser
Release Date : 2010-08-30
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences written by Giovanni Naldi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-30 with Mathematics categories.
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Crowd Dynamics Volume 2
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Author : Livio Gibelli
language : en
Publisher: Springer Nature
Release Date : 2020-10-23
Crowd Dynamics Volume 2 written by Livio Gibelli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.
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.
Complex Systems And Society
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Author : Nicola Bellomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-24
Complex Systems And Society written by Nicola Bellomo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Mathematics categories.
This work aims to foster the interdisciplinary dialogue between mathematicians and socio-economic scientists. Interaction among scholars and practitioners traditionally coming from different research areas is necessary more than ever in order to better understand many real-world problems we face today. On the one hand, mathematicians need economists and social scientists to better address the methodologies they design in a more realistic way; on the other hand, economists and social scientists need to be aware of sound mathematical modelling tools in order to understand and, ultimately, solve the complex problems they encounter in their research. With this goal in mind, this work is designed to take into account a multidisciplinary approach that will encourage the transfer of knowledge, ideas, and methodology from one discipline to the other. In particular, the work has three main themes: Demystifying and unravelling complex systems; Introducing models of individual behaviours in the social and economic sciences; Modelling socio-economic sciences as complex living systems. Specific tools examined in the work include a recently developed modelling approach using stochastic game theory within the framework of statistical mechanics and progressing up to modeling Darwinian evolution. Special attention is also devoted to social network theory as a fundamental instrument for the understanding of socio-economic systems.
Crowd Dynamics By Kinetic Theory Modeling
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Author : Bouchra Aylaj
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2020-10-22
Crowd Dynamics By Kinetic Theory Modeling written by Bouchra Aylaj and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-22 with Science categories.
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.
Kinetic Theory And Swarming Tools To Modeling Complex Systems Symmetry Problems In The Science Of Living Systems
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Author : Nicola Bellomo
language : en
Publisher: MDPI
Release Date : 2020-05-29
Kinetic Theory And Swarming Tools To Modeling Complex Systems Symmetry Problems In The Science Of Living Systems written by Nicola Bellomo and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-29 with Business & Economics categories.
This MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences—specifically mathematics—without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these.