Topics in Inverse Problems

任课教师 Speaker:邱凌云
时间 Time:2.21~5.13 (Mon. /Wed.) 13:30-15:05
地点 Venue:宁斋W11 Ning Zhai W11; Online from May9

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

Tencent Meeting ID:858-1440-5546  Password: 202220
  

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