Nine-stage Multi-derivative Runge-Kutta method of order 12
Truong Nguyen-Ba, Vladan Božić, Emmanuel Kengne, Rémi Vaillancourt (2009)
Publications de l'Institut Mathématique
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Displaying similar documents to “High order explicit Runge-Kutta pairs for ephemerides of the solar system and the Moon.”
Nine-stage Multi-derivative Runge-Kutta method of order 12
Zero Dissipative DIRKN Pairs of Order 5(4) for Solving Special Second Order IVPs
S. O. Imoni, M. N. O. Ikhile (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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For initial value problem (IVPs) in ordinary second order differential equations of the special form possessing oscillating solutions, diagonally implicit Runge–Kutta–Nystrom (DIRKN) formula-pairs of orders 5(4) in 5-stages are derived in this paper. The method is zero dissipative, thus it possesses a non-empty interval of periodicity. Some numerical results are presented to show the applicability of the new method compared with existing Runge–Kutta (RK) method applied to the problem...
On total truncation error estimation for the one-step method
Anna Valková (1987)
Aplikace matematiky
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In this paper the author establishes estimation of the total truncation error after steps in the fifth order Ruge-Kutta-Huťa formula for systems of differential equations. The approach is analogous to that used by Vejvoda for the estimation of the classical formulas of the Runge-Kutta type of the 4-th order.
Difference inequalities and error estimates for the Runge-Kutta method
Z. Kowalski (1983)
Annales Polonici Mathematici
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Fifth-order Runge-Kutta with higher order derivative approximations.
Goeken, David, Johnson, Olin (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On order 5 symplectic explicit Runge-Kutta Nyström methods.
Chou, Lin-Yi, Sharp, P.W. (2000)
Journal of Applied Mathematics and Decision Sciences
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