A fifth algebraic order trigonometrically-fitted modified Runge-Kutta Zonneveld method for the numerical solution of orbital problems

DOI10.1016/j.mcm.2005.09.018zbMath1085.65061OpenAlexW1991175061MaRDI QIDQ815426

D. P. Sakas, Theodore E. Simos

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.09.018

zbMATH Keywords

numerical resultsRunge-Kutta methodssymplectic integratorexponential-fittingorbital problemstrigonometrically-fitting

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Orbital mechanics (70M20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (2)

Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving \(y(x)=f(x,y,y')\) ⋮ Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs

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