Applied Math Seminar

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Inverse Problems and PDE Learning: Modeling, Computation, and Analysis

Speaker: Yimin Zhong, Auburn University

Location: Warren Weaver Hall 1302

Date: Friday, February 10, 2023, 2:30 p.m.

Synopsis:

In this talk, we will discuss about one particular type of iinverse problem regarding reconstructing the evolutional PDE model from
the internal solution data. We will characterize the nature of the problem depending the whether the PDE model is parabolic or hyperbolic. Then we will focus on the PDE learning problem for the radiative transport model which can be viewed as the transition between the two types of models. The related fast algorithms solving the inverse problem and related applications will be discussed as well.