Control of local error stabilizes integrations

DOI10.1016/0377-0427(94)00108-1zbMath0858.65087OpenAlexW2091037055WikidataQ127898330 ScholiaQ127898330MaRDI QIDQ1917834

Yanyan Li

Publication date: 25 March 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00108-1

zbMATH Keywords

stabilitysystemexplicit Runge-Kutta methodserror estimatorstepsize selection

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

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• Embedded Runge-Kutta formulae with stable equilibrium states
• Stability of explicit Runge-Kutta methods
• On the stability of semi-implicit methods for ordinary differential equations
• Equilibrium states of Runge Kutta schemes
• Equilibrium states of Runge-Kutta schemes: part II
• Analysis of Stepsize Selection Schemes for Runge-Kutta Codes
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations

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