On extended RKN integrators for multidimensional perturbed oscillators with applications

DOI10.1016/j.apm.2011.09.033zbMath1243.65088OpenAlexW1969208231MaRDI QIDQ437933

Xiong You, Bin Wang, Wei Shi, Xin-Yuan Wu

Publication date: 20 July 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.09.033

zbMATH Keywords

nonlinear wave equationsB-seriesperturbed oscillatorsERKN methodsnumerical integrators

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

A note on stability of multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems ⋮ A new high precision energy-preserving integrator for system of oscillatory second-order differential equations ⋮ Nonlinear damped oscillators on Riemannian manifolds: numerical simulation ⋮ Bounds on asymptotic-numerical solvers for ordinary differential equations with extrinsic oscillation

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• New methods for oscillatory systems based on ARKN methods
• Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations

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