A sixth-order imbedded Runge-Kutta algorithm with continuously variable weights

DOI10.1016/0898-1221(86)90066-0zbMath0626.65069OpenAlexW2038287093MaRDI QIDQ3030157

Leroy Derr, Curtis Outlaw, Diran Sarafyan

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90066-0

zbMATH Keywords

numerical testsRunge-Kutta methodfixed stepsizecontinuous Runge-Kutta process

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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Stability of some continuously imbedded Runge-Kutta methods of Sarafyan ⋮ Implicit single step methods by spline-like functions for solution of ordinary differential equations ⋮ Higher order continuous solution of \(y=f(x,y,y')\) and \(y=f(x,y)\) initial value problems ⋮ Impact of a discretisation method and chemical kinetics on the accuracy of simulation of a lifted hydrogen flame ⋮ Approximate deconvolution discretisation ⋮ Software for the numerical solution of systems of functional differential equations with state-dependent delays ⋮ High-order compact difference schemes on wide computational stencils with a spectral-like accuracy

Cites Work

• Continuous approximate solution of ordinary differential equations and their systems
• Differential quadrature and longterm integration
• On the Numerical Integration of Certain Differential Equations of the Second Order
• A Runge-Kutta for all Seasons
• Unnamed Item