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Consistent initialization for nonlinear index-2 differential-algebraic equation: large sparse systems in MATLAB
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.ORCID iD: 0000-0003-4950-6646
2003 (English)In: Numerical Algorithms, ISSN 1017-1398, E-ISSN 1572-9265, Vol. 32, no 1, p. 67-85Article in journal (Refereed) Published
Abstract [en]

An important component of any initial-value solver for higher-index differential-algebraic equations consists in the computation of consistent initial values. In a recent paper [5], an algorithm is proposed which is applicable to a very general class of index-2 systems. Unfortunately, the computational expense is rather high. We present a modification of this approach, which gives rise to a MATLAB implementation capable of handling systems of moderate dimension (several thousands of unknowns). The algorithm is illustrated by examples.

Place, publisher, year, edition, pages
2003. Vol. 32, no 1, p. 67-85
Keyword [en]
differential-algebraic equations, consistent initial values, consistent initialization, method of lines, MATLAB, computation, values
Identifiers
URN: urn:nbn:se:kth:diva-22229ISI: 000180783100005OAI: oai:DiVA.org:kth-22229DiVA, id: diva2:340927
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Hanke, Michael

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