Interpolating runge-kutta-nyström methods of high order

DOI10.1080/00207169308804178zbMath0812.65065OpenAlexW1976010727MaRDI QIDQ4323395

Ch. Tsitouras, George Papageorgiou

Publication date: 14 May 1995

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169308804178

zbMATH Keywords

Runge-Kutta-Nyström methodssecond-order initial value problemhigh order Hermite type interpolants

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)

Continuous extensions to Nyström methods for second order initial value problems ⋮ Continuous Runge-Kutta(-Nyström) methods with reduced phase-errors ⋮ A new optimized non-FSAL embedded Runge-Kutta-Nyström algorithm of orders 6 and 4 in six stages ⋮ On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions

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