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Next generation equation-free multiscale modelling of crowd dynamics via machine learning
Hector Vargas Alvarez, Dimitrios G. Patsatzis, Lucia Russo, Ioannis G. Kevrekidis and Constantinos Siettos Journal of Computational Physics 559 114881 (2026) https://doi.org/10.1016/j.jcp.2026.114881
Individual-based crowd dynamics with social interaction
Damián A. Knopoff, Jie Liao, Qianhong Ma and Xiongfeng Yang Mathematical Models and Methods in Applied Sciences 35(07) 1637 (2025) https://doi.org/10.1142/S0218202525400081
Random sampling-based gradient descent method for optimal control problems with variance reduction
Jeongho Kim, Dongnam Ko, Chohong Min and Byungjoon Lee Mathematical Models and Methods in Applied Sciences 35(13) 2797 (2025) https://doi.org/10.1142/S0218202525500514
Recent progress on the mean-field limit of the Cucker-Smale model for flocking
Behavioral swarms: A mathematical theory toward swarm intelligence
Nicola Bellomo, Seung-Yeal Ha, Jie Liao and Wook Yoon Mathematical Models and Methods in Applied Sciences 34(12) 2305 (2024) https://doi.org/10.1142/S0218202524500490
Human behavioral crowds review, critical analysis and research perspectives
Nicola Bellomo, Jie Liao, Annalisa Quaini, Lucia Russo and Constantinos Siettos Mathematical Models and Methods in Applied Sciences 33(08) 1611 (2023) https://doi.org/10.1142/S0218202523500379
Collective behaviors of stochastic agent-based models and applications to finance and optimization
Dongnam Ko, Seung-Yeal Ha, Euntaek Lee and Woojoo Shim Mathematical Models and Methods in Applied Sciences 33(07) 1373 (2023) https://doi.org/10.1142/S021820252350032X
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
N. Bellomo, N. Outada, J. Soler, Y. Tao and M. Winkler Mathematical Models and Methods in Applied Sciences 32(04) 713 (2022) https://doi.org/10.1142/S0218202522500166
Towards a mathematical theory of behavioral human crowds
Nicola Bellomo, Livio Gibelli, Annalisa Quaini and Alessandro Reali Mathematical Models and Methods in Applied Sciences 32(02) 321 (2022) https://doi.org/10.1142/S0218202522500087
Relaxation dynamics of SIR-flocks with random epidemic states
What is life? A perspective of the mathematical kinetic theory of active particles
Nicola Bellomo, Diletta Burini, Giovanni Dosi, Livio Gibelli, Damian Knopoff, Nisrine Outada, Pietro Terna and Maria Enrica Virgillito Mathematical Models and Methods in Applied Sciences 31(09) 1821 (2021) https://doi.org/10.1142/S0218202521500408
Uniform stability of the relativistic Cucker-Smale model and its application to a mean-field limit