Numerical solution of differential-algebraic equations for constrained mechanical motion

DOI10.1007/BF01385770zbMath0701.70003OpenAlexW2036266930MaRDI QIDQ914415

Claus Fuehrer, Benedict J. Leimkuhler

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133539

zbMATH Keywords

descriptorconstrained mechanical motionstate-space forms

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Axiomatics, foundations (70A05) Classical field theories (70Sxx)

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Uses Software

• DASSL
• SIMPACK

Cites Work

• Generation and solution of multibody system equations
• Automatic integration of Euler-Lagrange equations with constraints
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Conservation laws and the numerical solution of ODEs. II
• ODE Methods for the Solution of Differential/Algebraic Systems
• A Half-Explicit Extrapolation Method for Differential-Algebraic Systems of Indix 3
• Die Stabilisierung von Bindungen und ersten Integralen als Regelungsproblem und ihre Konsequenzen
• Differential-Algebraic Systems as Differential Equations on Manifolds
• Maintaining Solution Invariants in the Numerical Solution of ODE<scp>s</scp>
• Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations
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