Feasibility and Stability Behaviour of the BDF Applied to Index‐2 Differential Algebraic Equations

DOI10.1002/zamm.19950751110zbMath0864.65045OpenAlexW2124967512MaRDI QIDQ5689885

Caren Tischendorf

Publication date: 23 February 1997

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950751110

zbMATH Keywords

stabilityvariable stepsizebackward differentiation formulavariable ordernonlinear index-2 differential algebraic equationstime-dependent quasilinear systems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

Solving more general index-2 differential algebraic equations ⋮ Numerical approaches for solutions of differential equations on manifolds ⋮ Index determination and calculation of consistent initial values for DAEs

Cites Work

• Automatic integration of Euler-Lagrange equations with constraints
• Solving more general index-2 differential algebraic equations
• ODE Methods for the Solution of Differential/Algebraic Systems
• Backward differentiation approximations of nonlinear differential/algebraic systems
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
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