Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14748
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Main Title: Index reduction for differential-algebraic equations by minimal extension
Author(s): Kunkel, Peter
Mehrmann, Volker
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15975
http://dx.doi.org/10.14279/depositonce-14748
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: In this paper a new index reduction technique is discussed for the treatment of differential-algebraic systems for which extra structural information is available. Based on this information reduced derivative arrays are formed and instead of using expensive subspace computations the index reduction is obtained by introducing new variables. The new approach is demonstrated for several important classes of differential-algebraic systems, where the structural information is available. These include multibody systems and circuit simulation problems. The effectiveness of the new approach is demonstrated via numerical examples.
Subject(s): differential-algebraic equation
index reduction
minimal extension
circuit simulation
multibody system
strangeness index
regularization
Issue Date: 6-Dec-2001
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65L05 Initial value problems
34H05 Control problems
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2001, 719
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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