Analyzing the stability behaviour of solutions and their approximations in case of index-$2$ differential-algebraic systems

DOI10.1090/S0025-5718-01-01408-9zbMath1002.65091OpenAlexW2082373312MaRDI QIDQ2781212

Antonio Ramon Rodriguez Santiesteban, Roswitha März

Publication date: 19 March 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01408-9

zbMATH Keywords

numerical examplesdifferential-algebraic equationsnumerical stabilityRunge-Kutta methodstractability indexindex 2contractivitylogarithmic normsHessenberg systems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for differential-algebraic equations (65L80)

Related Items

Stability preserving integration of index-1 DAEs. ⋮ Stability preserving integration of index-2 DAEs. ⋮ Discretization of inherent ODEs and the geometric integration of DAEs with symmetries ⋮ Bohl exponent for time-varying linear differential-algebraic equations ⋮ Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations ⋮ On stability of time-varying linear differential-algebraic equations ⋮ Differential algebraic systems anew

Cites Work

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• Structural analysis of electric circuits and consequences for MNA
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