报告人：唐敏 教授 上海交通大学
报告时间：2024年8月30日 16:30-17:30
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 the radiative transport equation. The ray effect stands as a long-standing drawback of DOM. In benchmark tests displaying the ray effect, we observe low regularity in velocity within the solution. To address this issue, we propose a random ordinate method (ROM) to mitigate the ray effect. Compared with other strategies proposed in the literature for mitigating the ray effect, ROM offers several advantages: 1) the computational cost is comparable to DOM; 2) it is simple and requires minimal changes to existing code based on DOM; 3) it is easily parallelizable and independent of the problem setup. Analytical results are presented for the convergence orders of the error and bias, and numerical tests demonstrate its effectiveness in mitigating the ray effect.
报告人简介： 唐敏，2008年清华大学数学科学学院博士毕业，2008-2011先后在法国图卢兹三大和巴黎六大博后，2011年加入上海交通大学任特别研究员，2018年任上海交通大学自然科学研究院，数学学院教授。担任生物数学Journal of Mathematical Biology和应用数学Communication in Mathematical Sciences， Network &Heterogeneous media等期刊编委。获得青年长江学者、上海市浦江人才等称号。
报告邀请人：廖杰