High order Runge--Kutta--Nyström codes for the integration of oscillatory problems.

DOI10.1016/J.APNUM.2003.09.004zbMath1037.65074OpenAlexW2001196286MaRDI QIDQ1419849

Amelia García, Pablo Martín, Ana-Belén González

Publication date: 26 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.09.004

zbMATH Keywords

numerical examplesharmonic oscillatorsvariable step-sizeRunge-Kutta-Nyström methodRKN methodsHigh orderOscillatory problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

Implementation of parallel three-point block codes for solving large systems of ordinary differential equations ⋮ The performance of phase-lag enhanced explicit Runge-Kutta Nyström pairs on \(N\)-body problems

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