• search hit 3 of 7
Back to Result List

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.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Lena Scholz
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
Tag:
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
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.