Numerical Analysis Seminar

Thursday, March 27, 2008

Speaker: Richard Sanchez,
CEA and Georgia Tech. University
Title: Inverse Source Problems for the Linear Transport Equation
Time: 4:00-5:00 pm
Place: Blocker 627
Note: This is a joint NA/Applied Math seminar. Note the unusual time and place.

Abstract

The inverse source problem in linear transport theory is known to have a non unique solution. In this talk I will apply the attenuated Radon transform (atRT) to trivially extend the reconstruction to 3D energy-dependent problems with isotropic scattering and then analyze the possibility of a regularization for the inverse problem; the latter is only possible if the unknown source is known to be isotropic. I'll then introduce reconstruction techniques based on a generalized Green's function formula.

Last revised: 03/25/08 By: abnersg@math