报告题目 (Title)：Positivity/bound preserving schemes for complex nonlinear systems (复杂非线性系统的保正/保界格式)
报告人 (Speaker)： 沈捷教授（美国普渡大学）
报告时间 (Time)：2021年10月27日(周三) 14:00
报告地点 (Place)：校本部G507
邀请人(Inviter)：李常品
主办部门：理学院数学系
报告摘要：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 relatively easy to implement and can be combined with most spatial discretization.
