Analysis of Radau IIA methods in the maximal parabolic regularity framework

主讲人：Georgios Akrivis

摘要：We consider the discretization of differential equations in UMD Banach spaces satisfying the maximal parabolic L p -regularity property by Radau IIA methods. It is known that the Radau IIA methods preserve the maximal L p -regularity (B. Kovács, B. Li, and C. Lubich: A-stable time discretizations preserve maximal parabolic regularity, SIAM J. Numer. Anal. 54 (2016) 3600–3624). We discuss the derivation of optimal order a priori as well as a posteriori error estimates in the maximal parabolic regularity framework. Pointwise formulations of the Radau IIA methods, viewed as collocation methods, play a key role in the a posteriori error analysis. We also briefly discuss the extension of the results to the case of nonautonomous parabolic equations.

主讲人简介：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。

邀请人：李东方

时间：2022年11月3日（星期四）15:00-17:00