Modeling and Simulation for Collective Dynamics
暫譯: 集體動態的建模與模擬

Bao, Weizhu, Markowich, Peter A., Perthame, Benoit

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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.

商品描述(中文翻譯)

主題計畫《量子與動力學問題:建模、分析、數值方法及應用》於2019年9月至2020年3月在新加坡國立大學數學科學研究所舉行。領先的專家們針對參與的研究生和初級研究人員提供了教程和特別講座。讀者將在這本重要的著作中找到四篇擴展的講義,這些講義包含了關於集體動力學的建模和模擬的自成體系的教程,包括數學生物學中的個體和種群動力學方法、Lohe型聚合模型的集體行為、均場粒子群優化,以及基於共識的優化和全局優化問題的集成卡爾曼反演。這本著作旨在激勵研究生和研究人員進入集體動力學的動力學模型及其應用的原創研究工作。

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