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.
Contents:
- Foreword
- Preface
- Individual and Population Approaches for Calibrating Division Rates in Population Dynamics: Application to the Bacterial Cell Cycle (Marie Doumic and Marc Hoffmann)
- Collective Dynamics of Lohe Type Aggregation Models (Seung-Yeal Ha and Dohyun Kim)
- Mean-field Particle Swarm Optimization (Sara Grassi, Hui Huang, Lorenzo Pareschi and Jinniao Qiu)
- Consensus-based Optimization and Ensemble Kalman Inversion for Global Optimization Problems with Constraints (José Antonio Carrillo, Claudia Totzeck and Urbain Vaes)
Readership: Graduate students and researchers in computational and applied mathematics, mathematical biology, mathematical modeling, computational science and engineering.
Key Features:
- Comprehensive and original collection of cutting-edge topics on modeling and simulation for collective dynamics and its emerging applications
- The contributors are leading researchers in the fields of mathematical models, numerical methods, mathematical analysis, asymptotic results, and emerging applications
- Based on tutorials, these materials are accessible to graduate students and junior researchers
- Extensive reference lists lead to both historical developments and recent advances in the fields
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