论文标题
关于二阶相互作用粒子系统的随机批处理方法
On the Random Batch Method for second order interacting particle systems
论文作者
论文摘要
我们研究了有关二阶相互作用粒子系统的随机批处理方法（RBM）的几个重要问题。我们首先在适当的收缩条件下显示了二阶系统的均匀时间融合。其次，我们建议通过内核分裂策略应用RBM在奇异相互作用核中的应用，并在数值上对分子动力学的应用进行了研究。
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.
