A zero-dissipative Runge-Kutta-Nyström method with minimal phase-lag

DOI10.1155/2010/591341zbMath1192.65105OpenAlexW2086072301WikidataQ58653195 ScholiaQ58653195MaRDI QIDQ980624

J. Martínez

Publication date: 29 June 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229630

zbMATH Keywords

second-order differential equationsnumerical comparisonsoscillatory solutionminimal phase-lagRunge-Kutta-Nyström (RKN) methodzero-dissipation

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 (5)

A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems ⋮ Exponentially fitted and trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for solving \(y^{\prime \prime}(x) = f \left(x, y, y^\prime\right)\) ⋮ New \(4(3)\) pairs diagonally implicit Runge-Kutta-Nyström method for periodic IVPs ⋮ Explicit almost P-stable Runge-Kutta-Nyström methods for the numerical solution of the two-body problem ⋮ New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems

Cites Work

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