Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem

DOI10.1007/BF01230713zbMath0663.70008MaRDI QIDQ3814871

Ch. Tsitouras, Theodore E. Simos, George Papageorgiou

Publication date: 1988

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

magnetic-binary problemExplicit Runge-Kutta methodsScaled Runge-Kutta methods

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Two-body problems (70F05)

Related Items (3)

New interpolants for runge-kutta algorithms using second derivatives ⋮ Continuous Runge-Kutta(-Nyström) methods with reduced phase-errors ⋮ On the efficiency of Runge-Kutta-Nyström methods with interpolants for solving equations of the form \(Y=F(T,Y,Y')\) over short timespans

Cites Work

• A comparison of numerical integration methods in the equatorial magnetic- binary problem
• A family of embedded Runge-Kutta formulae
• The magnetic-binaries problem: Motion of a charged particle in the region of a magnetic-binary system
• Interpolation for Runge–Kutta Methods
• Some Practical Runge-Kutta Formulas
• Symmetric motions in the Equatorial Magnetic-Binary Problem
• New interpolants for runge-kutta algorithms using second derivatives
• Solving Nonstiff Ordinary Differential Equations—The State of the Art
• Interpolants for Runge-Kutta formulas
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output

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