报告题目：Numerical Study on Multi-singularity Problems Arising from Delay Fractional Equations

报 告 人：黄锡荣 教授（澳门大学）

报告时间：2024年3月29日下午 16:00-17:00

报告地点：龙洞校区行政楼610

主 持 人：刘冬冬

报告摘要：In this talk, we study delay fractional equations. We show that that the regularity of the solution at s+ is better than that at 0+, where s is a constant time delay. Improved regularity of the solution is obtained by the decomposition technique and a fitted L1 numerical scheme is designed for it. We then construct two corrected L-type schemes, of which optimal convergence order reaches 2 - α and 2, respectively, where α ∈ (0, 1) is the order of the Caputo derivative. Significantly, the correction terms share the same forms as the discrete convolution structure for the derivative, which implies that the computation and analysis of these two parts can be integrated together.

报告人简介：黄锡荣，博士，澳门大学科技学院博导，教授。主要研究方向：数值线性代数、数值微分方程、优化与控制论等领域。在著名学术刊物 SIAM J Matrix undefined Appl、Journal of Differential Equations、J. Comput. Phys等权威刊物发表学术论文120余篇。多个权威刊物的编委。研究成果分别获2016年和2022年澳门自然科学奖二等奖和三等奖。