报告人：Georgios Akrivis（约阿尼拉大学）

邀请人：李东方

报告时间：2023年11月14日（星期二）10:00-12:00

报告地点：科技楼706室

报告题目：Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations.

报告摘要：Fully and linearly implicit versions of the Backward Difference Formulae (BDF) methods for quasilinear parabolic equations with homogeneous Dirichlet boundary conditions and an initial condition are considered. Without making any assumptions on the growth or decay of the coefficient function a(u) ,optimal-order error bounds of the time-discrete approximation to the solution and its gradient in the maximum norm and energy norm are obtained, which are collected in two convergence theorems that are the main focus of the talk.

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70余篇。