Variance-reduced random batch Langevin dynamics

Z Xu, Y Zhao, Q Zhou - arXiv preprint arXiv:2411.01762, 2024 - arxiv.org
The random batch method is advantageous in accelerating force calculations in particle
simulations, but it poses a challenge of removing the artificial heating effect in application to …

Convergence of Random Batch Method with replacement for interacting particle systems

Z Cai, JG Liu, Y Wang - arXiv preprint arXiv:2407.19315, 2024 - arxiv.org
The Random Batch Method (RBM) proposed in [Jin et al. J Comput Phys, 2020] is an
efficient algorithm for simulating interacting particle systems. In this paper, we investigate the …