Attracting sets in index 2 differential algebraic equations and in their Runge-Kutta discretizations

DOI10.1016/S0362-546X(02)00159-1zbMath1032.34003MaRDI QIDQ1863495

Johannes Schropp

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldsdifferential-algebraic equationsRunge-Kutta methodsattractive sets

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

Continuation method for computing certain singular points for index-1 differential algebraic equations ⋮ The Differential Transform Method for the Numerical Treatment of Differential-Algebraic Equations with Index 2 ⋮ Numerical Treatment of Differential-Algebraic Equations with Index 2 by Reducing the Index

Cites Work

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• Test examples for nonlinear programming codes
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• Differential-Algebraic Equation Index Transformations
• A dynamical systems approach to constrained minimization
• Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations
• Geometric Properties of Runge--Kutta Discretizations for Index 2 Differential Algebraic Equations

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