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A lower bound for the number of stages of an explicit continuous Runge- Kutta method to obtain convergence of given order

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Publication:808631
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DOI10.1007/BF01931296zbMath0732.65066MaRDI QIDQ808631

J. M. Carnicer

Publication date: 1991

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

interpolationconvergencetreesorder conditionsexplicit continuous Runge- Kutta method


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)


Related Items (2)

The orders of embedded continuous explicit Runge-Kutta methods ⋮ Runge-Kutta research in Trondheim



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