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 |
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| container_issue | 12 |
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| container_title | Computer physics communications |
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| creator | Kalogiratou, Z. Monovasilis, Th Simos, T.E. |
| description | 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. |
| doi_str_mv | 10.1016/j.cpc.2014.08.013 |
| format | Article |
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| language | eng |
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| subjects | 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 |
| title | A fourth order modified trigonometrically fitted symplectic Runge–Kutta–Nyström method |
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