Mathematics Department Colloquium
The Mathematics Department Colloquium meets periodically throughout the academic year.
Latest colloquium information for the 2011-2012 academic year:
Matt Mathews*
Department of Mathematics
University of Tennessee at Chattanooga
Chattanooga, TNFriday, January 20, EMCS 422, 2:00-3:00 pm.
A Comparison of Local Methods for an Inverse Problem on a Semi-axis
Abstract. This talk compares two methods for recovering an unknown potential on a semi-axis: a local version of Gelfand-Levitan and a newer approach, also local, that comes from the theory of boundary control. In both cases, appropriate data from the forward problem must be produced, and two methods are given for this problem as well, one spectral and the other dynamical. The efficacy of these methods is shown through numerical experiments.
This talk would be appropriate for advanced undergraduates and graduate students, especially those with an interest in differential equations and numerical analysis.
* in co-authorship with Boris Belinskiy
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