Date of Award

Summer 8-13-2013

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics and Statistics

First Advisor

Dr. Alexandra Smirnova

Second Advisor

Dr. Michael Stewart

Third Advisor

Dr. Changyong Zhong

Abstract

We are examining iteratively regularized methods for solving nonlinear inverse problems. Of particular interest for these types of methods are application problems which are unstable. For these application problems, special methods of numerical analysis are necessary, since classical algorithms tend to be divergent.

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