报告题目：Positivity/bound Preserving Schemes for  Complex Nonlinear Systems

报告时间：2021-10-29  16:00 - 17:00

报告人：沈捷 教授 普渡大学 

报告地点：国家天元数学中部中心东北楼302报告厅

主办单位：国家天元数学中部中心  武汉大学数学与统计学院

Abstract: Solutions for a large class of partial differential equations (PDEs) arising from sciences and engineering applications are required to be positive to be positive or within a specified bound. It is of critical importance that their numerical approximations preserve the positivity/bound at the discrete level, as violation of the positivity/bound preserving may render the discrete problems ill posed. I will review the existing approaches for constructing positivity/bound preserving schemes, and then present several efficient and accurate approaches which are relative easy to implement and can be combined with most spatial discretization.