Stabilitätseigenschaften adeptiver Runge-Kutta-Verfahren

DOI10.1002/zamm.19810610608zbMath0484.65045OpenAlexW2038195277MaRDI QIDQ3943924

Karl Strehmel

Publication date: 1981

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19810610608

zbMATH Keywords

stiff systemsadapted Runge-Kutta methodsstability behaviourorder of consistencyS-stabilityLS-stability

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Multirate infinitesimal step methods for atmospheric flow simulation, Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden, Adaptive Nyström-Runge-Kutta-Methoden für gewöhnliche Differentialgleichungssysteme zweiter Ordnung, Nichtlineare Stabilität adaptiver Runge-Kutta Methoden

Cites Work

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• S-stability properties for generalized Runge-Kutta methods
• Accurate partial difference methods. II: Non-linear problems
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• A special stability problem for linear multistep methods