Diagnosis of singular points of properly stated DAEs using automatic differentiation

DOI10.1007/S11075-015-9973-XzbMath1335.65067OpenAlexW2004421188MaRDI QIDQ907581

Diana Estévez Schwarz, René Lamour

Publication date: 25 January 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-9973-x

zbMATH Keywords

numerical examplecondition numberdifferential-algebraic equationssingular pointautomatic differentiationgolden ratiotractability index 2

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

Related Items (6)

A new projector based decoupling of linear DAEs for monitoring singularities ⋮ A Projector Based Decoupling of DAEs Obtained from the Derivative Array ⋮ Open-Loop Control of Underactuated Mechanical Systems Using Servo-Constraints: Analysis and Some Examples ⋮ Index-analysis for a method of lines discretising multirate partial differential algebraic equations ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ On singular values related to DAEs in Kronecker canonical form

Uses Software

• AlgoPy

Cites Work

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• Differential-algebraic equations. A projector based analysis
• Diagnosis of singular points of structured DAEs using automatic differentiation
• Projector based integration of DAEs with the Taylor series method using automatic differentiation
• Gewöhnliche Differentialgleichungen
• The computation of consistent initial values for nonlinear index-2 differential-algebraic equations

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