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Applied Mathematics Seminar

 
Speaker: Ian Knowles
Department of Mathematics
University of Alabama at Birmingham, Birmingham, Alabama

Time and Place: 3:30 p.m., Monday, November 6, 2003, 411 Allen

Title: Variational methods for inverse problems

Abstract: An inverse problem for a differential equation involves finding one or more of the coefficient functions when one has some knowledge of the solution. These problems arise naturally from areas such as non-invasive imaging, both in industry and medicine, landmine detection, earthquake prediction, and in groundwater and oil reservoir modelling, for example. In this talk I'll show how the Dirichlet principle, which asserts that certain differential equations can be solved variationally, can be adapted to determine a variational solution for these inverse problems.

Host: Tuncay Aktosun
Refreshments: 3:00-3:30 p.m., 467 Allen
Dr. Ian Knowles

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