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Modeling and Simulation for Collective Dynamics

by Bao Weizhu

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Four tutorial pathways into collective dynamics

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AlbakiReads Editorial

Four tutorial pathways into collective dynamics

Built from expanded lecture notes associated with a 2019–2020 program at the Institute for Mathematical Sciences in Singapore, this volume brings together four self-contained tutorials on modeling and simulation. Its scope spans population dynamics in mathematical biology, Lohe-type aggregation models, mean-field particle swarm optimization, and optimization methods involving consensus and ensemble Kalman inversion, including problems with constraints. The mix connects individual- and population-level approaches with computational methods for collective behavior and global optimization. The book is positioned as a technical entry point to kinetic models and their applications, with material directed toward research preparation.

Good fit for readers who enjoy

  • Graduate students beginning work on kinetic models or collective dynamics
  • Junior researchers in applied mathematics, mathematical biology, or optimization
  • Researchers seeking tutorial material across modeling and simulation methods

Themes

Collective dynamicsKinetic modelsPopulation dynamicsOptimizationMathematical modeling and simulation

Based on publisher information and book metadata.

Book overview

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.

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