CSRI Seminar: C. T. Kelley

Title	Continuation Algorithms for Parameter Dependent Compact Fixed Point Problems
Speaker	C. T. Kelley Department of Mathematics Center for Research in Scientific Computation North Carolina State University tim_kelley@ncsu.edu
Date	June 22, 2004
Time	10-11am (PT) 11am-noon (MT)
Location	921/137 (CA) 980/95 (NM)
Abstract	In this talk we show how compactness can be used to design and analyze Newton-Krylov and multilevel algorithms for parameter-dependent compact fixed point problems. Such problems arise not only as integral equations, but also from indirect integrations such as source iteration in radiative transfer calculations and time-stepping approaches to dynamic analysis of parabolic partial differential equations. The methods we propose are easy to implement and require no detailed knowledge of the internal structure of the fixed point map. We will illustrate the ideas with examples from integral equations and dynamic analysis.
About the Speaker	Tim Kelley is the Drexel Professor of Mathematics at North Carolina State University. He has published 3 books and over 90 peer-reviewed journal articles. His is an active member of SIAM, AGU, MPS, and POP. His research interests lay in linear/nonlinear equations, multilevel methods for integral equations, radiative transfer problems, and optimal control, large scale optimization, optimization of noisy functions, and flow in porous media.
Host	Tamara Kolda, tgkolda@sandia.gov, 925-294-4769

This seminar series is hosted by the Computational Sciences and Mathematics Research Department at Sandia National Labs in Livermore, CA. This seminar is funded by the Computer Science Research Institute (CSRI). To schedule a time to meet with the speaker before or after the talk, please make arrangements with the host listed above.

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