Universität zu Köln

Ali, G., Banagaaya, N., Schilders, W. H. A. and Tischendorf, C. (2014). Index-aware model order reduction for differential-algebraic equations. Math. Comput. Model. Dyn. Syst., 20 (4). S. 345 - 374. PHILADELPHIA: TAYLOR & FRANCIS INC. ISSN 1744-5051

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Abstract

We introduce a model order reduction (MOR) procedure for differential-algebraic equations, which is based on the intrinsic differential equation contained in the starting system and on the remaining algebraic constraints. The decoupling procedure in differential and algebraic part is based on the projector and matrix chain which leads to the definition of tractability index. The differential part can be reduced by using any MOR method, we use Krylov-based projection methods to illustrate our approach. The reduction on the differential part induces a reduction on the algebraic part. In this paper, we present the method for index-1 differential-algebraic equations. We implement numerically this procedure and show numerical evidence of its validity.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ali, G. UNSPECIFIED UNSPECIFIED UNSPECIFIED Banagaaya, N. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schilders, W. H. A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Tischendorf, C. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-434077
DOI:	10.1080/13873954.2013.829501
Journal or Publication Title:	Math. Comput. Model. Dyn. Syst.
Volume:	20
Number:	4
Page Range:	S. 345 - 374
Date:	2014
Publisher:	TAYLOR & FRANCIS INC
Place of Publication:	PHILADELPHIA
ISSN:	1744-5051
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Computer Science, Interdisciplinary Applications; Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/43407