A comparison of numerical integration methods in the equatorial magnetic- binary problem
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Publication:1099980
DOI10.1007/BF00643810zbMath0639.70004MaRDI QIDQ1099980
Theodore E. Simos, George Papageorgiou, Telemachus J. Kalvouridis
Publication date: 1987
Published in: Astrophysics and Space Science (Search for Journal in Brave)
Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Motion of charged particles (78A35) Lagrange's equations (70H03)
Related Items (3)
Application of high-order Runge-Kutta methods in the magnetic-binary problem ⋮ Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem ⋮ On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (\(N + 1\)) bodies
Cites Work
- Some old and new Runge-Kutta formulas with stepsize control and their error coefficients
- Regularization of 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
- Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
- Numerical integration of the equations of motion of celestial mechanics
- Comparison of local error estimators for runge-kutta formulae:
- Comparing numerical methods for stiff systems of O.D.E:s
- A Theoretical Criterion for Comparing Runge–Kutta Formulas
- Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
- Families of Imbedded Runge–Kutta Methods
- Estimation of the truncation error in Runge-Kutta and allied processes
- Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations
- Comparing Numerical Methods for Ordinary Differential Equations
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