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Appalachian Center Events

Analysis and PDE Seminar

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.

Date:
-
Location:
745 Patterson Office Tower

Analysis and PDE Seminar

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.

Date:
-
Location:
745 Patterson Office Tower

Davis Bottom: Rare History, Valuable Lives

"Davis Bottom: Rare History, Valuable Lives" reveals the fascinating history of a working-class neighborhood established in Lexington after the Civil War. Davis Bottom is one of about a dozen ethnic enclaves settled primarily by African-American families who migrated to Lexington from the 1860s to the 1890s in search of jobs, security and opportunity. 

The documentary is part of the Kentucky Archaeology and Heritage Series, produced by Voyageur Media Group, Inc. for the Kentucky Archaeological Survey and the Kentucky Heritage Council. The series is distributed by Kentucky Educational Television (KET) to viewers, teachers and students throughout the state. Wednesday's advance screening, part of the first-ever Kentucky Archaeology Month activities, is free and open to the public.

Date:
-
Location:
W T Young Library Auditorium