报告人：Georgios Akrivis（约阿尼纳大学）

邀请人：李东方

报告时间：2022年7月20日（星期三）16:00-18:00

报告地点：腾讯会议：544 122 570

报告题目：Discontinuous Galerkin methods, collocation methods and Runge–Kutta methods

报告摘要：In this talk, we shall present a short overview of Runge–Kutta methods and highlight some of their properties. We start by recalling the general form of Runge–Kutta methods, comment on the usual assumptions on their coefficients, and present concrete examples, such as some well-known low order methods and three families of particularly important Runge–Kutta methods, namely the Gauss, Radau IIA and Lobatto methods. We define the order of a Runge–Kutta method and briefly comment on its determination.Then, we introduce the collocation methods and discuss their relation to Runge–Kutta methods. Finally, we present the discontinuous Galerkin time-stepping methods for linear differential equations and interpret them as modified Radau IIA methods.

报告人简介：Georgios Akrivis希腊约阿尼拉大学教授，SIAM J Num. Anal 编委。计算数学顶级专家，主要研究微分方程数值解。在Numer Math, Math Comput, SIAM. J. Numer. Anal等杂志发表SCI论文50余篇。