Abstract
We extend a method for approximate balanced reduced order model derivation for finite dimensional linear systems developed by Rowley (Int. J. Bifur. Chaos Appl. Sci. Eng. 15(3) (2005), pp. 997-1013) to infinite dimensional systems. The algorithm is related to standard balanced truncation, but includes aspects of the proper orthogonal decomposition in its computational approach. The method can be also applied to nonlinear systems. Numerical results are presented for a convection diffusion system.
Recommended Citation
J. R. Singler and B. A. Batten, "A Proper Orthogonal Decomposition Approach to Approximate Balanced Truncation of Infinite Dimensional Linear Systems," International Journal of Computer Mathematics, Taylor & Francis, Feb 2009.
The definitive version is available at https://doi.org/10.1080/00207160802331887
Department(s)
Mathematics and Statistics
Keywords and Phrases
Balanced Truncation; Infinite Dimensional Systems; Proper Orthogonal Decomposition
International Standard Serial Number (ISSN)
0020-7160
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2009 Taylor & Francis, All rights reserved.
Publication Date
01 Feb 2009
