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Calcolo
Erschienen in: Calcolo 1/2017

02.03.2016

Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations

verfasst von: Bin Wang, Hongli Yang, Fanwei Meng

Erschienen in: Calcolo | Ausgabe 1/2017

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Abstract

This paper is devoted to the analysis of the sixth-order symplectic and symmetric explicit extended Runge–Kutta–Nyström (ERKN) schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations. Fourteen practical sixth-order symplectic and symmetric explicit ERKN schemes are constructed, and their phase properties are investigated. The paper is accompanied by five numerical experiments, including a nonlinear two-dimensional wave equation. The numerical results in comparison with the sixth-order symplectic and symmetric Runge–Kutta–Nyström methods and a Gautschi-type method demonstrate the efficiency and robustness of the new explicit schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations.
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Metadaten
Titel
Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations
verfasst von
Bin Wang
Hongli Yang
Fanwei Meng
Publikationsdatum
02.03.2016
Verlag
Springer Milan
Erschienen in
Calcolo / Ausgabe 1/2017
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-016-0179-y

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