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BIT Numerical Mathematics

, Volume 41, Issue 2, pp 364–394 | Cite as

A Simple Structural Analysis Method for DAEs

  • J. D. Pryce
Article

Abstract

We describe a straightforward method for analysing the structure of a differential-algebraic system. It generalizes the method of Pantelides, but is more directly informative and applies to DAEs with derivatives of any order. It naturally leads to a numerical method for the initial value problem that combines projection and index reduction. We illustrate the method by examples, and justify it with proofs. We prove that it succeeds on a fairly wide class of systems encountered in practice, and show its relation to the Pantelides method and to the Campbell-Gear derivative-array equations.

Assignment problems combinatorics differential algebraic equations index linear programming Taylor series 

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Copyright information

© Swets & Zeitlinger 2001

Authors and Affiliations

  • J. D. Pryce
    • 1
  1. 1.CISE DepartmentCranfield University (Royal Military College of Science)SwindonUK

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