Topics in Inverse Problems-求真书院

公开课

首页 > 书院学术 > 至美数学 > 公开课

Topics in Inverse Problems

来源： 05-09

时间：2.21~5.13 (周一/周三) 13:30-15:05

地点：宁斋&Tencent Meeting ID: 858-1440-5546 Password: 202220

组织者：邱凌云

主讲人：邱凌云

Note: Due to the COVID-19，the course will be delivered online from May 9.

课程描述 Description

Inverse problem refers to a kind of problem of inverting the physical parameters and geometric features of the interested area by the measured data, and is an important subject for the intersection of industrial and applied mathematics. It consists of many areas including modeling, partial differential equations, functional analysis, and scientific computing. This course introduces topics of inverse problems in various applications, such as seismic inversion, medical imaging, inverse scattering and other areas.

预备知识 Prerequisites

PDE, Functional analysis, Fourier analysis, Numerical analysis, Python

参考资料 References

1. Albert Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM: Society for Industrial and Applied Mathematics, 2004

2. Jennifer L. Mueller and Samuli Siltanen, Linear and Nonlinear Inverse Problems with Practical Applications, Society for Industrial and Applied Mathematics, 2012

3. Mikko Salo, Calderón problem, Lecture notes, 2008](http://users.jyu.fi/~salomi/lecturenotes/calderon_lectures.pdf)

4. Victor Isakov, Inverse problems for partial differential equations. Third edition. Applied Mathematical Sciences, 127. Springer, Cham, 2017

5. Variational methods in imaging, Scherzer O, Grasmair M, Grossauer H, Haltmeier M, Lenzen F., 2009

返回顶部

Microlocal Analysis and Inverse Problems
Abstract：We will discuss some applications of microlocal analysis to inverse problems, in particular the back scattering problem, Calderon's problem and inverse problems for nonlinear equations.About speaker：Gunther UhlmannProfessor Gunther Uhlmann, Walker Family Endowed Professor in Mathematics at the University of Washington, has been appointed IAS Si Yuan Professor, also joining the Univer...
View more
Inverse Problems for Some Nonlinear PDEs with Partial Data
AbstractIn this talk, I will demonstrate the higher order linearization approach to solve several inverse boundary value problems for nonlinear PDEs, modeling for example nonlinear optics, including nonlinear magnetic Schrodinger equation and time-dependent Schrodinger equation. Considering partial data problems, the problem will be reduced to solving for the coefficient functions from their in...
View more

书院学术