Runge-Kutta interpolants based on values from two successive integration steps

DOI10.1007/BF02242920zbMath0695.65046OpenAlexW114660188MaRDI QIDQ910164

Ch. Tsitouras, George Papageorgiou

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02242920

zbMATH Keywords

numerical testsvariable step sizeexplicit Runge-Kutta methodinterpolantsnon-stiff initial value problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Uses Software

• nag
• dverk

Cites Work

• Interpolants for Runge-Kutta-Nyström methods
• A family of embedded Runge-Kutta formulae
• Interpolation for Runge–Kutta Methods
• Some Practical Runge-Kutta Formulas
• Practical Aspects of Interpolation in Runge-Kutta Codes
• Initial Value Routines in the NAG Library
• New interpolants for runge-kutta algorithms using second derivatives
• Interpolants for Runge-Kutta formulas
• Scaled runge-kutta-nyström methods for the second order differential equationÿ=f(x,y)
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• Comparing Numerical Methods for Ordinary Differential Equations