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Stable Runge-Kutta integrations for differential systems with semi-stable equilibria

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Publication:1889955
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DOI10.1007/s00211-003-0513-6zbMath1067.65079OpenAlexW1547054163MaRDI QIDQ1889955

S. González-Pinto, D. Hernández-Abreu

Publication date: 13 December 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-003-0513-6


zbMATH Keywords

numerical exampleRunge-Kutta methodsstability functionRobertson problemsemi-stable equilibria


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)


Related Items (2)

An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results ⋮ Semi-implicit methods for differential systems with semi-stable equilibria




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