报告题目：Random Ordinate Method for kinetic models
报告人： 唐敏 教授 上海交通大学
报告时间：2026年4月16日上午10:30-11:30
报告地点：红瓦楼726
报告内容简介：The Discrete Ordinates Method (DOM) is the most widely used velocity discretization method for simulating kinetic models. However, the ray effect is a long-standing drawback of DOM. In benchmark tests that exhibit the ray effect, we observe low regularity in the velocity variable of the solution. To address this issue, we propose a Random Ordinate Method (ROM) to mitigate the ray effect. Compared to other strategies proposed in the literature for mitigating the ray effect, ROM offers several advantages: 1) For benchmark tests that exhibit the ray effect, the computational cost is lower than that of DOM; 2) it is simple and requires minimal changes to existing DOM-based code; 3) it is easily parallelizable and independent of the problem setup. We apply the ROM to the steady-state radiative transport equation and the BGK model. Numerical tests demonstrate the reduction in computational cost compared to DOM, as well as its effectiveness in mitigating the ray effect. Moreover, the convergence orders of the error and bias are provided both numerically and theoretically.
报告人简介：唐敏，长期致力于多尺度现象应用数学研究，聚焦细胞集群体系多尺度建模、工程及物理问题多尺度算法两大方向。迄今发表SCI论文64篇，含PRL、SIAM、JCP等。2018 年入选教育部 “青年长江学者” 计划； 2014 年获得美国自然科学基金委生物数学中心的 Early Career Award；2013 年入选上海浦江人才计划；主持基金委 NSAF 联合基金重点支持项目、面上项目、中国工程物理研究院专项项目、北京应用物理和计算数学研究所挑战专题项目等，并获得上海市科委基金支持；受邀出任了多个应用数学重要期刊编委，包括 Multiscale Modeling and Simulation（SIAM 期刊， 中国数学会 T1)， Journal of Mathematical Biology （T1） ， Kinetic and Related Models （T2） ， Communications in Mathematical Sciences （T2） ， Plos Computational Biology（T2），Network and Heterogeneous Media（T3）。
报告邀请人：盛长滔
