On the optimal choice of fourth-order Runge-Kutta formulas

DOI10.1007/BF02165129zbMath0191.45101OpenAlexW2131049236MaRDI QIDQ2538047

H. A. Luther, H. G. Sierra

Publication date: 1970

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

Full work available at URL: https://eudml.org/doc/132001

zbMATH Keywords

fourth-order Runge-Kutta formulas

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Error Bounds for the Runge-Kutta Single-Step Integration Process
• Runge-Kutta Methods with Minimum Error Bounds
• The stability of the fourth order Runge-Kutta method for the solution of systems of differential equations
• Some Singular Explicit Fifth Order Runge-Kutta Solutions
• Further Explicit Fifth-Order Runge-Kutta Formulas
• Optimum Runge-Kutta Methods
• On the Accuracy of Runge-Kutta's Method

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