Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems

John R. Singler; Belinda A. Batten

Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems

John R. Singler
, Belinda A. Batten

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (2007, Chicago, IL)
State	Published - Jun 23 2007

Keywords

Balanced Truncation
Infinite Dimensional Systems
Proper Orthogonal Decomposition

Disciplines

Mathematics
Statistics and Probability

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Balanced Proper Orthogonal Decomposition for Model Reduction of IFinal published version, 193 KBLicense: Unspecified

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title = "Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems",

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.",

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journal = "Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (2007, Chicago, IL)",

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T1 - Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems

AU - Singler, John R.

AU - Batten, Belinda A.

PY - 2007/6/23

Y1 - 2007/6/23

N2 - 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.

AB - 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.

KW - Balanced Truncation

KW - Infinite Dimensional Systems

KW - Proper Orthogonal Decomposition

UR - https://scholarsmine.mst.edu/math_stat_facwork/632

M3 - Article

JO - Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (2007, Chicago, IL)

JF - Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering (2007, Chicago, IL)

ER -

Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems

Abstract

Keywords

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