Derivative-Extended Time Domain Reduction for Coupled Systems Using Chebyshev Expansion
Joint Authors
Wang, Xiaolong
Liu, Jun
Jiang, Yaolin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The time domain model reduction based on general orthogonal polynomials has been presented for linear systems.
In this paper, we extend this approach by taking the derivative information of the system into account in the context of model reduction of coupled systems.
We expand the derivative terms over the Chebyshev polynomial basis and show that Chebyshev coefficients of the expansion possess a specific structure, making it possible to preserve much more time domain information by employing projection methods.
Besides, with the well-defined projection matrices, the resulting reduced model shares the same topological structure with the original coupled system.
Two numerical examples are simulated to showcase the accuracy of incorporating the derivative information into model reduction.
American Psychological Association (APA)
Wang, Xiaolong& Jiang, Yaolin& Liu, Jun. 2017. Derivative-Extended Time Domain Reduction for Coupled Systems Using Chebyshev Expansion. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151797
Modern Language Association (MLA)
Wang, Xiaolong…[et al.]. Derivative-Extended Time Domain Reduction for Coupled Systems Using Chebyshev Expansion. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1151797
American Medical Association (AMA)
Wang, Xiaolong& Jiang, Yaolin& Liu, Jun. Derivative-Extended Time Domain Reduction for Coupled Systems Using Chebyshev Expansion. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151797
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151797