Zu Chongzhi Research Seminar

Date and Time (China standard time): Friday, May 16, 4:30 pm – 5:30 pm

Location: WDR 1007

Zoom: 921 0779 3151, Passcode: dkumath

Title: A structure-preserving particle system for Landau equation

Speaker: Lei Li

Abstract: We propose and implement a structure-preserving stochastic particle method for the Landau equation. The pairwise grazing collisions are modeled as diffusion processes. By exploiting the unique structure of the particle system and a spherical Brownian motion sampling, the method avoids additional temporal discretization of the particle system, ensuring that the discrete-time particle distributions exactly match their continuous-time counterparts. The method achieves O(N) complexity per time step and preserves fundamental physical properties, including the conservation of mass, momentum and energy, as well as entropy dissipation. It demonstrates strong long-time accuracy and stability in numerical experiments.

Bio: Lei Li is currently a tenure-track associate professor in the Institute of Natural Sciences and the School of Mathematical Sciences at Shanghai Jiao Tong University (SJTU). He obtained his B.S. from Tsinghua University in 2010 and Ph.D. from the University of Wisconsin-Madison in 2015. Then, he was an assistant research professor at Duke University, and joined SJTU in 2018. His main research interest is in applied mathematics, especially designing and analyzing numerical methods for stochastic models arising from physics and data sciences. Currently, he is focusing the interacting particle systems and stochastic differential equations.