雲亭數學講壇2021第76講——王澤文教授

文章來源:77779193永利發布日期:2021-12-05浏覽次數:396

應學院邀請,東華理工大學王澤文教授将在線為我院師生作學術報告。

報告題目:Exponential Tikhonov regularization method for solving an inverse source problem of time fractional diffusion equations

報告摘要: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.

報告時間:2021126日上午10:00

報告地點:騰訊會議(會議号:536308211)

邀請人:溫瑾副教授

屆時歡迎廣大師生參與交流!

 

【報告人簡介】

王澤文,男,博士,教授,碩士生導師,江西省高等學校中青年學科帶頭人,江西省主要學科學術與技術帶頭人,中國工業與應用數學學會第八屆理事會理事,中國統計教育學會理事,江西省數學會理事,美國數學會《Mathematical Reviews》評論員。


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