On the Random Batch Method for second order interacting particle systems
Numerical Analysis
2020-12-02 v1 Numerical Analysis
Abstract
We investigate several important issues regarding the Random Batch Method (RBM) for second order interacting particle systems. We first show the uniform-in-time strong convergence for second order systems under suitable contraction conditions. Secondly, we propose the application of RBM for singular interaction kernels via kernel splitting strategy, and investigate numerically the application to molecular dynamics.
Cite
@article{arxiv.2011.10778,
title = {On the Random Batch Method for second order interacting particle systems},
author = {Shi Jin and Lei Li and Yiqun Sun},
journal= {arXiv preprint arXiv:2011.10778},
year = {2020}
}