Instability and local truncation error estimate in runge-kutta type methods

DOI10.1080/00207168608803538zbMath0654.65049OpenAlexW1998311370MaRDI QIDQ3800999

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Publication date: 1986

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168608803538

zbMATH Keywords

instabilityabsolute stabilityexplicit Runge-Kutta methodstep control algorithmlocal truncation error estimate

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
• Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• Comparing Numerical Methods for Ordinary Differential Equations
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