Logarithmic norms and nonlinear DAE stability

DOI10.1023/A:1021956621531zbMath1019.65062OpenAlexW1776430052MaRDI QIDQ1860951

Gustaf Söderlind, Inmaculada Higueras

Publication date: 24 March 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021956621531

zbMATH Keywords

error boundsnonlinear stabilityRunge-Kutta methodsdifferential algebraic equationlogarithmic Lipschitz constantlogarithmic norm

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 methods for differential-algebraic equations (65L80)

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