Title:  Automating and Stabilizing the Discrete Empirical Interpolation Method for Nonlinear Model Reduction

Abstract:  The Discrete Empirical Interpolation Method (DEIM) is a technique for model reduction of nonlinear dynamical systems.  It is based upon a modification to proper orthogonal decomposition which is designed to reduce the computational complexity for evaluating reduced order nonlinear terms.  The DEIM approach is based upon an interpolatory projection and only requires evaluation of a few selected components of the original nonlinear term.  Thus, implementation of the reduced order nonlinear term requires a new code to be derived from the original code for evaluating the nonlinearity.  I will describe a methodology for automatically deriving a code for the reduced order nonlinearity directly from the original nonlinear code.  Although DEIM has been effective on some very difficult problems, it can under certain conditions introduce instabilities in the reduced model.  I will present a problem that has proved helpful in developing a method for stabilizing DEIM reduced models.

Title:  Absolutely continuous representing measures for R(X) 

Abstract:  An abstract is available online at http://www.ms.uky.edu/~kott/PDEseminarf13/Brennan.pdf

Title:  L^p norms of eigenfunctions and Kakeya-Nikodym averages

Abstract:  We consider the problem of determining upper bounds on the growth of L^p norms of eigenfunctions of the Laplacian on a compact Riemannian manifold. After an introduction to the problem, we will discuss recent works of C. Sogge and the speaker with C. Sogge relating such growth to mass concentration in frequency dependent tubes about geodesic segments. We then show that this yields improved L^p bounds for manifolds with nonpositive sectional curvatures, extending a result of Sogge-Zelditch to higher dimensions.

You are invited to hear an interview with Ron Leshem who is a celebrated novelist, journalist, and screenwriter for television and films. As a reporter in the West Bank and Gaza, his work appeared in Yediot Ahronot, Ma’ariv, and Le Monde. His first novel, Beaufort, won the Sapir Prize, Israel’s top literary award. The film adaptation of Beaufort, which Leshem co-wrote, earned him an Academy Award nomination in 2007 for Best Foreign Language Film.



Tikva Meroz-Aharoni is the Schusterman Visiting Professor for Israel Studies at the University of Kentucky. She teaches in the Jewish Studies Program. This fall, she is teaching courses in Hebrew language, literature, and film.

Prof. Meroz-Aharoni will interview Mr. Leshem regarding his experiences as a journalist and how those experiences influenced the writing of his novel. The process of adapting a literary text into a film and the ramifications of writing on controversial topics will also be discussed. Attendees are also invited to participate in a Q & A with Mr. Leshem.