Efficient index reduction algorithm for large scale systems of differential algebraic equations
X. Qin, J. Tang, Y. Feng, B. Bachmann, P. Fritzson, Applied Mathematics and Computation 277 (2016) 10–22.
Download
Es wurde kein Volltext hochgeladen. Nur Publikationsnachweis!
Artikel
| Veröffentlicht
| Englisch
Autor*in
Qin, Xiaolin;
Tang, Juan;
Feng, Yong;
Bachmann, Bernhard
;
Fritzson, Peter


Abstract
In many mathematical models of physical phenomenons and engineering fields, such as electrical circuits or mechanical multibody systems, which generate the differential algebraic equations (DAEs) systems naturally. In general, the feature of DAEs is a sparse large scale system of fully nonlinear and high index. To make use of its sparsity, this paper provides a simple and efficient algorithm for index reduction of large scale DAEs system. We exploit the shortest augmenting path algorithm for finding maximum value transversal (MVT) as well as block triangular forms (BTFs). We also present the extended signature matrix method with the block fixed point iteration and its complexity results. Furthermore, a range of nontrivial problems are demonstrated by our algorithm.
Erscheinungsjahr
Zeitschriftentitel
Applied Mathematics and Computation
Band
277
Seite
10-22
ISSN
FH-PUB-ID
Zitieren
Qin, Xiaolin ; Tang, Juan ; Feng, Yong ; Bachmann, Bernhard ; Fritzson, Peter: Efficient index reduction algorithm for large scale systems of differential algebraic equations. In: Applied Mathematics and Computation Bd. 277, Elsevier (2016), S. 10–22
Qin X, Tang J, Feng Y, Bachmann B, Fritzson P. Efficient index reduction algorithm for large scale systems of differential algebraic equations. Applied Mathematics and Computation. 2016;277:10-22. doi:10.1016/j.amc.2015.11.091
Qin, X., Tang, J., Feng, Y., Bachmann, B., & Fritzson, P. (2016). Efficient index reduction algorithm for large scale systems of differential algebraic equations. Applied Mathematics and Computation, 277, 10–22. https://doi.org/10.1016/j.amc.2015.11.091
@article{Qin_Tang_Feng_Bachmann_Fritzson_2016, title={Efficient index reduction algorithm for large scale systems of differential algebraic equations}, volume={277}, DOI={10.1016/j.amc.2015.11.091}, journal={Applied Mathematics and Computation}, publisher={Elsevier}, author={Qin, Xiaolin and Tang, Juan and Feng, Yong and Bachmann, Bernhard and Fritzson, Peter}, year={2016}, pages={10–22} }
Qin, Xiaolin, Juan Tang, Yong Feng, Bernhard Bachmann, and Peter Fritzson. “Efficient Index Reduction Algorithm for Large Scale Systems of Differential Algebraic Equations.” Applied Mathematics and Computation 277 (2016): 10–22. https://doi.org/10.1016/j.amc.2015.11.091.
X. Qin, J. Tang, Y. Feng, B. Bachmann, and P. Fritzson, “Efficient index reduction algorithm for large scale systems of differential algebraic equations,” Applied Mathematics and Computation, vol. 277, pp. 10–22, 2016.
Qin, Xiaolin, et al. “Efficient Index Reduction Algorithm for Large Scale Systems of Differential Algebraic Equations.” Applied Mathematics and Computation, vol. 277, Elsevier, 2016, pp. 10–22, doi:10.1016/j.amc.2015.11.091.
Link(s) zu Volltext(en)
Access Level
