关于南宁师范大学刘利斌教授来校讲学的通知

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，南宁师范大学刘利斌教授将于2023年3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：Error analysis of a finite difference scheme on a modified graded mesh for a time-fractional diffusion equation

主讲人：南宁师范大学刘利斌教授

时间：2023年3月28日（周二）上午10:00－11:30

地点：金鸡岭校区图书馆3楼305会议室

报告摘要：This paper is concerned with a finite difference scheme on a new modified graded mesh for a time fractional diffusion equation with a Caputo fractional derivative of order $\alpha\in (0,1) $. At first, the construction and some basic properties of this new modified graded mesh are investigated and on its basis the L1 scheme is applied to approximate the Caputo derivative. Meanwhile, the standard center finite difference scheme on a uniform mesh is used to discretize the diffusion term. Then, stability and convergence of the proposed scheme in the maximum norm are proved. The convergence result shows that on this modified graded mesh one attains an optimal $2-\alpha$ rate for the L1 scheme. Finally, the presented theoretical results are supported by some numerical experiments。

主讲人简介：

刘利斌，南宁师范大学教授，硕士生导师。从事奇异摄动微分方程和分数阶微分方程的自适应移动网格算法的研究，主持完成国家自然科学基金3项，广西自然科学基金2项，相关研究成果发表在J. Comput. Math、JSC、CICP等国内外重要数学SCI刊物上。