Stability of numerical methods for differential-algebraic equations of higher index

DOI10.1016/0168-9274(93)90126-CzbMath0788.65083MaRDI QIDQ1308554

Martin Arnold

Publication date: 30 May 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityimplicit Runge-Kutta methodperturbation indexdifferential- algebraic systems of index 2

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

• Automatic integration of Euler-Lagrange equations with constraints
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• Linearly implicit extrapolation methods for differential-algebraic systems
• Maintaining Solution Invariants in the Numerical Solution of ODE<scp>s</scp>
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