云亭数学讲坛2021第76讲——王泽文教授

文章来源:bat365在线平台官网登录发布日期:2021-12-05浏览次数:396

应学院邀请,东华理工大学王泽文教授将在线为bat365官网师生作学术报告。

报告题目:Exponential Tikhonov regularization method for solving an inverse source problem of time fractional diffusion equations

报告摘要:In this talk, we mainly study an inverse source problem of time fractional diffusion equation in a bounded domain with an over-specified terminal condition at a fixed time. A novel regularization method, which we call the exponential Tikhonov regularization method with a parameter , is proposed to solve the inverse source problem, and the corresponding convergence analyses are given under a-priori and a-posteriori regularization parameter choice rules. When  is less than or equal to zero, the optimal convergence rate can be achieved and it is independent of the value of . However, when  is great than zero, the optimal convergence rate depends on the value of  which is related to the regularity of the unknown source. Finally, numerical experiments are conducted for showing the effectiveness of the proposed exponential regularization method.

报告时间:2021126日上午10:00

报告地点:腾讯会议(会议号:536308211)

邀请人:温瑾副教授

届时欢迎广大师生参与交流!

 

【报告人简介】

王泽文,男,博士,教授,硕士生导师,江西省高等学校中青年学科带头人,江西省主要学科学术与技术带头人,中国工业与应用数学学会第八届理事会理事,中国统计教育学会理事,江西省数学会理事,美国数学会《Mathematical Reviews》评论员。