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| Title: | Balanced proper orthogonal decomposition for model reduction of infinite dimensional linear systems |
| Author (s): | Singler, John Batten, Belinda A. |
| Department/Lab Affiliations: | Mathematics & Statistics |
| Keywords: | balanced truncation proper orthogonal decomposition infinite dimensional systems |
| Issue Date: | 2007 |
| Publisher: | University of Wisconsin |
| Citation: | Singler, J. and Batten, B.A. "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 (CMMSE), 2007, pp. 361-371 |
| 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. |
| Type: | Article - Conference proceedings text |
| In Title: | Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2007 Chicago, 20–23 June 2007. |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. unknown policy FULL COPYRIGHT INFORMATION: |
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| title | Balanced proper orthogonal decomposition for model reduction of infinite dimensional linear systems |
| contributor.author | Singler, John |
| contributor.author | Batten, Belinda A. |
| contributor.deptlab | Mathematics & Statistics |
| subject | balanced truncation |
| subject | proper orthogonal decomposition |
| subject | infinite dimensional systems |
| date.issued | 2007 |
| publisher | University of Wisconsin |
| identifier.citation | Singler, J. and Batten, B.A. "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 (CMMSE), 2007, pp. 361-371 |
| identifier.pub.URI | |
| description.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. |
| type | Article - Conference proceedings |
| type.DCMIType | text |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
| rights | unknown policy |
| rights.URI | |
| relation.isPartOf | Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2007 Chicago, 20–23 June 2007. |
| identifier.persist.URI | |
| date.available | 2008-09-23T15:59:07Z |