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math.NA2025
Propagation of chaos and approximation error of random batch particle system in the mean field regime
Lei Li, Yuelin Wang, Shi Jin
The random batch method [J. Comput. Phys. 400 (2020) 108877] is not only an efficient algorithm for simulation of classical -particle systems and their mean-field limit, but als…
math.NA2025
Asymptotic uniform estimate of random batch method with replacement for the Cucker-Smale model
Shi Jin, Yuelin Wang, Yuliang Wang
The Random Batch Method (RBM) [S. Jin, L. Li and J.-G. Liu, Random Batch Methods (RBM) for interacting particle systems, J. Comput. Phys. 400 (2020) 108877] is not only an efficien…
math.NA2024
On the mean-field limit of the Cucker-Smale model with Random Batch Method
Yuelin Wang, Yiwen Lin
In this work, we focus on the mean-field limit of the Random Batch Method (RBM) for the Cucker-Smale model. Different from the classical mean-field limit analysis, the chaos in thi…