Interpolating high-order Runge-Kutta formulas

DOI10.1016/0898-1221(90)90027-HzbMath0707.65054OpenAlexW2042514790MaRDI QIDQ919761

Przemyslaw Bogacki, Lawrence F. Shampine

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90027-h

zbMATH Keywords

interpolationerror boundsstep size controlhigh-order Runge-Kutta methodpair of integration formula

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 (4)

Parallel interpolation of high-order Runge-Kutta methods ⋮ Runge-Kutta interpolants for high precision computations ⋮ Bandlimited implicit Runge-Kutta integration for astrodynamics ⋮ Continuous extensions to high order runge-kutta methods

Uses Software

• dverk

Cites Work

• A family of embedded Runge-Kutta formulae
• High order embedded Runge-Kutta formulae
• Interpolation for Runge–Kutta Methods
• Some Practical Runge-Kutta Formulas
• Practical Aspects of Interpolation in Runge-Kutta Codes
• A Theoretical Criterion for Comparing Runge–Kutta Formulas
• Interpolants for Runge-Kutta formulas
• Runge-Kutta triples

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