Continuous Runge-Kutta-Nyström methods for initial value problems with periodic solutions

DOI10.1016/S0898-1221(01)00230-9zbMath0983.65088OpenAlexW2011680735MaRDI QIDQ5948891

George Papageorgiou, Ioannis Th. Famelis

Publication date: 12 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00230-9

zbMATH Keywords

periodic solutionsnumerical testsphase-lagcontinuous Runge-Kutta-Nyström methodsscaling method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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 (2)

Generalized Laguerre pseudospectral method based Laguerre interpolation ⋮ Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations

Uses Software

• Mathematica

Cites Work

• Stabilization of Cowell's classical finite difference method for numerical integration
• Stabilization of Cowell's method
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Solving Ordinary Differential Equations I
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
• High Phase-Lag-Order Runge--Kutta and Nyström Pairs
• Scaled runge-kutta-nyström methods for the second order differential equationÿ=f(x,y)

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