报告人：罗贤兵（贵州大学）

邀请人：明炬、黄乘明

报告人简介：罗贤兵，贵州大学数学与统计学院教授，博士生导师，中国数学会计算数学会理事。从事偏微分方程及最优控制，特别是随机偏微分方程及控制问题的数值计算方面的研究工作。

（一）报告时间：2024年5月14日（星期二）14:00-15:30

报告地点：科技楼南楼813室

报告题目：Error analysis of finite element methods for a parametrized parabolic distributed control problem

报告摘要：In this talk, we introduce two numerical methods for the numerical approximation of a parametrized parabolic distributed control problem. The first one is ensemble Monte Carlo method, the second one is multi-modes Monte Carlo method. For these two method, the space is discritized by conforming finite element method, the time by Euler method. Some error estimates are given, and some numerical examples are presented which test the effectiveness of these methods.

（二）报告时间：2024年5月14日（星期二）20:30-22:30

报告地点：科技楼南楼706室

报告题目：Ensemble schemes for the numerical solution of a random transient heat equation with uncertain inputs

报告摘要：In this talk, an ensemble-based time stepping scheme is applied to solving a transient heat equation with random Robin boundary and diffusion coefficients. By introducing two ensemble means of Robin boundary and diffusion coefficients, we propose a new ensemble Monte Carlo (EMC) scheme for the transient heat equation. The EMC scheme solves a single linear system including several right-side vectors at each time step. Stability analysis and error estimates are derived. Numerical examples verify the theoretical results and the validity of the EMC method.