Detecting structures in differential algebraic equations: computational aspects

DOI10.1016/J.CAM.2012.03.009zbMath1246.65138OpenAlexW2064817331MaRDI QIDQ433951

René Lamour, Roswitha März

Publication date: 9 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.03.009

zbMATH Keywords

numerical examplesdifferential algebraic equationstractability indexadmissible projector functionsKronecker indexregularity regionswidely orthogonal projectors

Mathematics Subject Classification ID

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

Related Items (2)

Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey

Uses Software

• INTLAB
• DAETS

Cites Work

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• A new algorithm for index determination in DAEs using algorithmic differentiation
• Index criteria for differential algebraic equations arising from linear-quadratic optimal control problems
• Report 18/2006: Differential-Algebraic Equations (April 16th -- April 22nd, 2006)
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• Computation of consistent initial values for properly stated index 3 DAEs
• Solving high-index DAEs by Taylor series
• Canonical projectors for linear differential algebraic equations
• Topological index calculation of differential-algebraic equations in circuit simulation
• Solvability of linear differential algebraic equations with properly stated leading terms
• Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients
• Evaluating Derivatives
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
• Regularity Regions of Differential Algebraic Equations
• A simple structural analysis method for DAEs

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