报告题目：The Finite Difference Method for Fractional Parabolic Equation with Fractional Laplacian

报 告 人：李常品 教授

报告时间：2017年11月29日（周三）下午4:30-5:30

报告地点：数学与统计学院金融实验室

报告人简介：

李常品，上海大学教授。1998年获上海大学计算数学专业博士学位，随后留校任教至今。其主要研究方向为：分数阶偏微分方程数值计算、分岔混沌的应用理论和计算。在Appl Numer Math、Fract Calc Appl Anal、JCP、JSC、Numer Methods PDE、SIAM Journals等杂志上发表近100篇文章。他现任Journal of Nonlinear Science、Fractional Calculus and Applied Analysis、International Journal of Computer Mathematics、International Journal of Bifurcation and Chaos、Chaos等SCI杂志编委或顾问，任德国德古意特出版社系列丛书“应用科学和工程中的分数阶微积分”创始主编(Editor-in-chief and founding editor of the book series: Fractional Calculus in Applied Sciences and Engineering, De Gruyter, Germany )。

报告简介：

In this talk, we present the finite difference method for fractional parabolic equation with fractional Laplacian, where the time derivative is the Caputo derivative with derivative order in (0, 1) and the spatial derivative in the fractional Laplacian. Stability, convergence, and error estimate are displayed. And the illustrative examples are provided which support the theoretical analysis.