Stability of numerical methods for solving linear index-3 DAEs

DOI10.1016/S0096-3003(01)00266-1zbMath1023.65082MaRDI QIDQ1855915

Yong-Zhong Song, Hong Liu

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical exampledifferential-algebraic equationsimplicit Runge-Kutta methodsbackward differentiation formulas

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 (2)

A non-damped stabilization algorithm for multibody dynamics ⋮ On the numerical solution of differential-algebraic equations with index-3

Cites Work

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• Basic properties of some differential-algebraic equations
• Index-2 differential-algebraic equations
• Some new results concerning index-3 differential-algebraic equations
• Solving more general index-2 differential algebraic equations
• Canonical projectors for linear differential algebraic equations
• On Asymptotics in Case of Linear Index-2 Differential-Algebraic Equations
• Solvability of higher index time-varying linear differential-algebraic equations

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