关于上海师范大学焦裕建教授来校讲学的预告

应数学与计算科学学院、广西应用数学中心（太阳成集团tyc122cc）及广西高校数据分析与计算重点实验室邀请，上海师范大学焦裕建教授将于2024年12月28日来校讲学，欢迎全校师生踊跃参加。报告具体安排如下：

报告题目：Efficient finite difference methods for problems on tubular geometries

主讲人：焦裕建教授

时间：2024年12月28日（周六）上午9:00—10:30

地点：花江校区慧谷4号楼3楼310会议室

报告摘要：Due to their remarkable characteristics, tubular geometries have been used in various theoretical and application scenarios. In this talk, we introduce efficient finite difference methods designed for computational problems on tubular geometries. First, we define a curvilinear coordinate system for tubular geometries. We then derive the Riemannian metrics and the corresponding expression for the Laplacian operator in these curvilinear coordinates. Subsequently, we propose finite difference schemes for a steady-state problem, Gray-Scott and Cahn-Hilliard models, accompanied by rigorous theoretical analysis. Numerical experiments demonstrate the efficiency and accuracy of the proposed methods.

主讲人简介：焦裕建，上海师范大学教授，博士生导师。从事偏微分方程数值解法（谱方法）研究，主要研究流体问题的高精度数值方法、分数阶微分方程的高精度数值方法等。主持国家自然科学基金面上项目、上海市自然科学基金项目。在SIAM J. Numer. Anal.，J. Comput. Phys.，J.Sci.Comput.，Math.Meth.Appl.Sci.等期刊发表论文。