A fourth order modified trigonometrically fitted symplectic Runge–Kutta–Nyström method

A fourth order modified trigonometrically fitted symplectic Runge–Kutta–Nyström method

In this work we construct a modified trigonometrically fitted symplectic Runge Kutta Nyström method based on the fourth order five stages method of Calvo and Sanz-Serna (1994). We apply the new method on the numerical integration of the two-dimensional harmonic oscillator, the two-body problem, a pe...

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Veröffentlicht in:Computer physics communications 2014-12, Vol.185 (12), p.3151-3155
Hauptverfasser: Kalogiratou, Z., Monovasilis, Th, Simos, T.E.
Format: Artikel
Sprache:eng
Schlagworte:
Computer simulation
Construction
Exponential fitting
Hamiltonian systems
Harmonic oscillators
Mathematical models
Nonlinearity
Numerical integration
Runge Kutta Nyström methods
Runge-Kutta method
Symplectic methods
Two dimensional
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Zusammenfassung:In this work we construct a modified trigonometrically fitted symplectic Runge Kutta Nyström method based on the fourth order five stages method of Calvo and Sanz-Serna (1994). We apply the new method on the numerical integration of the two-dimensional harmonic oscillator, the two-body problem, a perturbed two-body problem and two two-dimensional nonlinear oscillatory Hamiltonian systems.
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2014.08.013