Stable numerical integration of dynamical systems subject to equality state-space constraints

DOI10.1007/BF00042726zbMath0765.70003OpenAlexW2019384018MaRDI QIDQ1205574

A. A. ten Dam

Publication date: 1 April 1993

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042726

zbMATH Keywords

differential algebraic equationsstability problemperturbations in the initial conditions

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (2)

Eliminating constraint drift in the numerical simulation of constrained dynamical systems ⋮ A methodology for simulations of multi-rigid body systems with topology changes

Uses Software

• DASSL

Cites Work

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• Implicit Runge–Kutta Methods for Differential Algebraic Equations
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
• The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods
• “Missing” Boundary Conditions? Discretize First, Substitute Next, and Combine Later

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