Article
Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems
Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (2007, Chicago, IL)
Abstract
In this paper, we extend a method for reduced order model derivation for finite dimensional systems developed by Rowley to infinite dimensional systems. The method is related to standard balanced truncation, but includes aspects of the proper orthogonal decomposition in its computational approach. The method is also applicable to nonlinear systems. The method is applied to a convection diffusion equation.
Meeting Name
International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE (2007: Jun. 20-23, Chicago, IL)
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Balanced Truncation,
- Proper Orthogonal Decomposition,
- Infinite Dimensional Systems
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2007 University of Wisconsin, All rights reserved.
Publication Date
6-23-2007
Publication Date
23 Jun 2007
Disciplines
Citation Information
John R. Singler and Belinda A. Batten. "Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems" Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (2007, Chicago, IL) (2007) Available at: http://works.bepress.com/john-singler/14/