Continuous approximation with embedded Runge-Kutta-Nyström methods

DOI10.1016/S0168-9274(98)00065-8zbMath0937.65086MaRDI QIDQ1294546

J. R. Dormand, P. J. Prince, T. S. Baker

Publication date: 29 June 1999

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

error boundscontinuous extensiondense outputembedded Runge-Kutta-Nyström methods

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Cites Work

• Runge-Kutta-Nyström triples
• Families of Runge-Kutta-Nystrom Formulae
• Practical Runge–Kutta Processes
• Global Error Estimation with Runge--Kutta Methods
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• Algorithm 670: a Runge-Kutta-Nyström code
• A One-step Method of Order 10 for y″ = f(x, y)
• Runge-Kutta triples
• Comparing Numerical Methods for Ordinary Differential Equations
• Coefficients for the study of Runge-Kutta integration processes
• Continuous approximation with embedded Runge-Kutta methods