Solving more general index-2 differential algebraic equations

DOI10.1016/0898-1221(94)00187-1zbMath0814.65074OpenAlexW2090076100MaRDI QIDQ1339313

Caren Tischendorf, Roswitha März

Publication date: 18 June 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00187-1

zbMATH Keywords

stabilityconvergenceasymptotic behaviourRunge-Kutta methodsbackward differentiation formulasquasilinear index-2 differential algebraic equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Cites Work

• A general existence and uniqueness theory for implicit differential- algebraic equations
• Basic properties of some differential-algebraic equations
• Index-2 differential-algebraic equations
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications
• Impasse points. Part I: Numerical aspects
• Feasibility and Stability Behaviour of the BDF Applied to Index‐2 Differential Algebraic Equations
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