主講人：杜愷 復旦大學副教授

時間：2025年9月4日10：30

地點：三號樓332室 

舉辦單位：數理學院 

主講人介紹：杜愷，復旦大學上海數學中心長聘副教授、博士生導師。2011年獲復旦大學博士學位，曾任職于蘇黎世聯邦理工學院 (ETH)、澳大利亞 Wollongong 大學。主要研究方向包括隨機分析、偏微分方程、最優控制、強化學習等，成果發表于 PTRF、TAMS、SICON、JDE 等國際主流期刊。 

內容介紹：We propose and implement a structure-preserving stochastic particle method for the Landau equation. The method is based on a particle system for the Landau equation, where 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. Furthermore, we also apply the method to the spatially non-homogeneous equations through a case study of the Vlasov--Poisson--Landau equation.