On the efficiency of Runge-Kutta-Nyström methods with interpolants for solving equations of the form \(Y=F(T,Y,Y')\) over short timespans

DOI10.1007/BF00051815zbMath0850.70005OpenAlexW2085352440MaRDI QIDQ1199717

Ch. Tsitouras, George Papageorgiou, Telemachus J. Kalvouridis

Publication date: 16 January 1993

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00051815

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Celestial mechanics (70F15)

Related Items (1)

On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (\(N + 1\)) bodies

Cites Work

• Runge-Kutta interpolants based on values from two successive integration steps
• Parametric dependence of the collinear equilibria and of their stability in the equatorial magnetic-binary problem
• Klassische Runge-Kutta-Nyström-Formeln mit Schrittweiten-Kontrolle für Differentialgleichungen \(\ddot x=f(t,x,\dot x)\)
• The magnetic-binaries problem: Motion of a charged particle in the region of a magnetic-binary system
• Neue Runge-Kutta-Nyström Formelpaare 3(4)-ter und 4(5)-ter Ordnung für ?? =f(t, x, ??)
• Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem
• Interpolants for Runge-Kutta formulas
• Runge-Kutta triples
• Scaled runge-kutta-nyström methods for the second order differential equationÿ=f(x,y)
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• BURRAU'S PROBLEM OF THREE BODIES
• Comparing Numerical Methods for Ordinary Differential Equations
• [https://portal.mardi4nfdi.de/wiki/Publication:5678377 A Runge-Kutta Nystr�m algorithm]

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