讲座主题：Efficient and accurate structure preserving schemes for complex nonlinear systems

专家姓名：沈捷

工作单位：宁波东方理工大学

讲座时间：2025年05月07日09:00-10:00

讲座地点：数学院大会议室341

主办单位：烟台大学数学与信息科学学院

内容摘要：

Many complex nonlinear systems have intrinsic structures such as energy dissipation or conservation, and/or positivity/maximum principle preserving. It is desirable, sometimes necessary, to preserve these structures in a numerical scheme. I will present some recent advances on using the scalar auxiliary variable (SAV) approach and Lagrange multiplier approach to develop highly efficient and accurate structure preserving schemes for a large class of complex nonlinear systems. These schemes can preserve energy dissipation/conservation as well as other global constraints and/or are positivity/bound preserving, only require solving decoupled linear equations with constant coefficients at each time step, and can achieve higher-order accuracy.

主讲人介绍：

Jie Shen，宁波东方理工大学讲席教授，计算数学家，中国工业与应用数学学会会士，美国数学会 （AMS） Fellow，美国工业与应用数学会（SIAM）Fellow。