报告人：许传炬（厦门大学）

邀请人：黄乘明

报告时间：2021年6月4日（星期五）10：00-11：30

报告地点： 科技楼（南楼）602室

报告题目：Spectral Methods for Integro-Differential Equations

报告摘要：In this talk we will present two kinds of spectral methods for integro-differential equations. The first method make use of traditional polynomials for approximating fractional differential equations having regular solutions. The second new method is constructed for a class of equations having solutions of low regularity. The new method makes use of fractional polynomials, also known as Muntz polynomials. The potential application of the new method covers a large number of problems, including classical elliptic equations, integro-differential equations with weakly singular kernels, fractional differential equations, and so on.

报告人简介：许传炬，厦门大学数学科学学院特聘教授，博士生导师。1986年厦门大学本科，1989年巴黎南大学硕士，1993年巴黎第六大学博士。研究领域包括: 计算流体谱元法, 相场模型及其算法，分数阶偏微分/积分方程理论和数值计算，偏微分方程神经网络计算等。合作/工作过的研究结构包括法国尼斯大学、波尔多大学、普瓦捷大学，丹麦理工大学， 美国普渡大学，新加坡国立大学和南洋理工大学，香港浸会大学等。 担任多个专业期刊编委，包括：Communications on Applied Mathematics and Computation (2019 - present), SIAM Journal of Scientific Computing (2017 - present), AIMS Mathematics (2016 - present), Journal of Mathematical Study (2014 - present), Journal on Numerical Methods and Computer Applications (中文, 2014 --- present), Discrete and Continuous Dynamical Systems - Series S (2013 - present), East Asia Journal on Applied Mathematics (2011 - present), Numer. Math. J. Chinese Univ (2005 - present)等。