Symmetric and symplectic exponentially fitted Runge–Kutta methods of high order

The construction of high order symmetric, symplectic and exponentially fitted Runge–Kutta (RK) methods for the numerical integration of Hamiltonian systems with oscillatory solutions is analyzed. Based on the symplecticness, symmetry, and exponential fitting properties, three new four-stage RK integ...

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Veröffentlicht in:	Computer physics communications 2010-12, Vol.181 (12), p.2044-2056
Hauptverfasser:	Calvo, M., Franco, J.M., Montijano, J.I., Rández, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Computer simulation Construction Exponential fitting Fittings Integrators Mathematical models Oscillatory Hamiltonian systems Runge-Kutta method Runge–Kutta methods Symmetry Symplecticness
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