Glavaški, Sonja and Marsden, Jerrold E. and Murray, Richard M. (1998) Model reduction, centering, and the Karhunen-Loeve expansion. In: IEEE Conference on Decision and Control, 37th (CDC 1998), Tampa, FL, 16-18 December 1998. IEEE , Piscataway, NJ, pp. 2071-2076. ISBN 0-7803-4394-8 http://resolver.caltech.edu/CaltechAUTHORS:GLAcdc98
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Abstract
We propose a new computationally efficient modeling method that captures a given translation symmetry in a system. To obtain a low order approximate system of ODEs, prior to performing a Karhunen Loeve expansion, we process the available data set using a “centering” procedure. This approach has been shown to be efficient in nonlinear scalar wave equations.
| Item Type: | Book Section |
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| Additional Information: | © Copyright 1998 IEEE. Reprinted with permission. Meeting Date: 12/16/1998 - 12/18/1998. The authors are thankful to Igor Mezić, John Doyle, Michael Dellnitz, and Larry Sirovich for many helpful and educational discussions. |
| Subject Keywords: | Galerkin method; nonlinear systems; partial differential equations; reduced order systems; series (mathematics); Karhunen-Loeve expansion; centering; model reduction; nonlinear scalar wave equations; translation symmetry |
| Record Number: | CaltechAUTHORS:GLAcdc98 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:GLAcdc98 |
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 12615 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Kristin Buxton |
| Deposited On: | 15 Dec 2008 21:51 |
| Last Modified: | 26 Dec 2012 10:37 |
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