报告题目: Numerical analysis to high-index saddle dynamics

报告人：郑祥成，北京大学博士后

报告摘要: High-index saddle dynamics provides an effective means to compute the any-index saddle points and construct the solution landscape. In this paper we prove the optimal-order error estimates for Euler discretization of high-index saddle dynamics with respect to the time step size, which remains untreated in the literature. We overcome the main difficulties that lie in the strong nonlinearity of the saddle dynamics and the orthonormalization procedure in the numerical scheme that is uncommon in standard discretization of differential equations. The derived methods are further extended to study the generalized high-index saddle dynamics for non-gradient systems and provide theoretical support for the accuracy of numerical implementations.

报告人简介：郑祥成，北京大学数学科学学院博士后，主要从事分数阶偏微分方程和鞍点动力学等模型的理论与数值分析研究。近年在SIAM J. Numer. Anal., SIAM J. Control Optim., IMA J. Numer. Anal., Inverse Problems, CMAME, BIT, ESAIM:M2AN, J. Sci. Comput.等发表论文近60篇，担任SIAM J. Sci. Comput.等近30种SCI杂志的审稿人。先后获批中国博士后国际交流计划引进项目、中国博士后科学基金特别资助、面上资助等。

报告时间：2022年3月10日14:30-15:30

报告地点：腾讯会议ID: 584-612-574

报告邀请人：科学与工程计算科研团队

主办单位：伟德国际1946源自英国