报告题目：Bayesian approach to a nonlinear inverse problem for time-space fractional diffusion equation
报告人：张远祥 副教授
报告人单位：兰州大学
报告时间：2018年4月25日，下午2：00-3:00
报告地点：数学学院九龙湖第一报告厅
报告摘要：
The inverse problems for fractional diffusion equation have aroused many researchers’ interest over the last few years, but quite a few work are carried out from the Bayesian point of view. In this talk, we will consider a nonlinear inverse problem for time-space fractional diffusion equation, specifically, we are interested in simultaneously identification of the source function and the orders of both time and space fractional derivative. The inverse problem will be formulated in the Bayesian framework, the well-definedness and well-posedness of the corresponding Bayesian inverse problem will be involved, the numerical implementation for 1-D case will be carried out via the iterative regularizing Kalman method and the relevant numerical results will be presented as well.
报告人介绍：
张远祥，兰州大学数学与统计学院副教授，主要研究方向是数学物理反问题，主持国家自然科学基金青年项目等科研项目，相关的研究成果发表于Inverse Problems, J. Inverse Ill-posed Problems, Inverse Problems Sci. Eng.等国内外学术期刊。