*时间：2023年5月19日  9：00-10：00

*地点：数学楼102

*主讲人：龚荣芳 教授

*主持人：朱升峰 教授

*讲座内容简介：

In this talk, with the introduction of artificial time, asymptotic methods are proposed for the resolution of ill-posed linear inverse problems. Several iterative regularization methods are derived from this continuous methods in combination with damped symplectic and/or Runge-Kutta numerical schemes. The regularization property as well as convergence rates under the Holder-type source conditions for both continuous and discretized methods are proven. Also, an application to the diffusion based bioluminescence tomography is delivered. Numerical examples are given to show the accuracy and the acceleration effect of the proposed methods.

*主讲人简介：

龚荣芳，南京航空航天大学数学学院，教授、博士生导师，研究方向主要包括光学成像、Cauchy问题等反问题的建模、正则化理论与方法，已在Numer. Math.、Inverse Probl.、CMAME、JCM等发表学术论文多篇。主持完成国家自然科学基金青年项目、江苏省自然科学基金等。当前主持国家自然科学基金面上项目1项，参与国家面上项目和科技部“LJ”专项各1项。