Some old and new Runge-Kutta formulas with stepsize control and their error coefficients

DOI10.1007/BF02253322zbMath0563.65046OpenAlexW115991973MaRDI QIDQ1057629

E. Fehlberg

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253322

zbMATH Keywords

Runge-Kutta methodsstepsize controlerror coefficients

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (5)

Implicit Runge-Kutta formulae with built-in estimates of the accumulated truncation error ⋮ A comparison of numerical integration methods in the equatorial magnetic- binary problem ⋮ Application of high-order Runge-Kutta methods in the magnetic-binary problem ⋮ Behavior of micro-polar flow due to linear stretching of porous sheet with injection and suction ⋮ The shape of a sessile drop for small and large surface tension

Cites Work

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• Quadrature and Runge-Kutta formulas
• Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
• Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
• Coefficients for the study of Runge-Kutta integration processes

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