Inverse problems

Thursday, November 10, 2005 - 11:00am - 12:00pm
Laura Matusevich (Texas A & M University)
We consider a very general inverse problem on directed graphs.
Surprisingly, this problem can actually be solved, explicitly, in a large
class of examples. I will describe the construction of these examples, as
well as the method used to produce the inversion formulas. This is joint
work with F. Alberto Grunbaum.
Wednesday, October 19, 2005 - 9:00am - 9:50am
Gunther Uhlmann (University of Washington)
In inverse boundary problems one attempts to determine the properties of a
medium by making measurements at the boundary of the medium. In the
lecture we will concentrate on two inverse boundary problems, Electrical
Impedance Tomography and Travel Tomography in anisotropic media. These
problems arise in medical imaging, geophysics and other fields. We will
also discuss a surprising connection between these two inverse problems.

Travel Time Tomography, consists in determining the index of refraction or
Tuesday, October 18, 2005 - 3:50pm - 4:40pm
Partha Routh (Boise State University)
Joint work with Doug Oldenburg.

Image appraisal in geophysical inverse problem can provide insight into the
resolving capability and uncertainty of estimates. Although a rigorous approach
to solve nonlinear appraisal analysis is still lacking but several methods have
been proposed in the past such as linearized Backus-Gilbert analysis, funnel
function method and nonlinear Backus-Gilbert formulation where forward problem
can be expressed as scattering series. In this talk I will discuss appraisal
Friday, October 21, 2005 - 2:30pm - 3:20pm
Roman Novikov (Université de Nantes)
See pdf file.


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