报告人：李磊教授

报告题目：Large time behaviors of several schemes for 1D Fokker-Planck equations on R

报告摘要：

(1) We revisit some standard schemes for Fokker-Planck equations on $\mathbb{R}$ from the viewpoint of jump processes. In the case of weak confinement, we show that the numerical solutions converge to some stationary distributions. In the case of strong confinement, using a discrete Poincare inequality, we prove that the $O(h)$ numeric error under $\ell^1$ norm is uniform in time, and establish the uniform exponential convergence to the steady states.

(2) Compared with the traditional results of exponential convergence of these schemes, our result is in the whole space without boundary. This work could motivate better understanding of numerical methods for parabolic conservation laws on unbounded domains. This talk is based on a joint work with Jian-Guo Liu.

报告时间：2022.12.25   下午15:00-18:00

报告形式：腾讯会议；  会议号：219-533-983 

获取会议密码请发邮件至：yangchang@hit.edu.cn

报告人简介：李磊现为上海交通大学自然科学研究院、数学科学学经理聘教轨副教授，主持科技部重点研发计划青年科学家项目一项。他的主要研究领域为应用数学及计算数学，研究方向包括针对多体系统及数据科学的随机模拟算法及抽样方法；物理模型特别是多体粒子系统及有记忆的开放系统模型的分析及数值解等，迄今为止发表或被接收学术论文40余篇。