A Derivative Array Approach for Linear Second Order Differential-Algebraic Systems
Please always quote using this URN:urn:nbn:de:0296-matheon-5330
- We discuss the solution of linear second order differential-algebraic equations with variable coefficients. Since index reduction and order reduction for higher order higher index differential-algebraic systems do not commute, appropriate index reduction methods for higher order DAEs are required. We present an index reduction method based on derivative arrays that allows to determine an equivalent second order system of lower index in a numerical computable way. For such an equivalent second order system an appropriate order reduction method allows to formulate a suitable first order DAE system of low index that has the same solution components as the original second order system.
Author: | Lena Scholz |
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URN: | urn:nbn:de:0296-matheon-5330 |
Referee: | Volker Mehrmann |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2008/11/19 |
Release Date: | 2008/11/19 |
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Institute: | Technische Universität Berlin |
MSC-Classification: | 34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Axx General theory / 34A09 Implicit equations, differential-algebraic equations [See also 65L80] |
34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Axx General theory / 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions | |
65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L05 Initial value problems | |
65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L80 Methods for differential-algebraic equations | |
Preprint Number: | 529 |