Increasing the accuracy in the numerical integration of perturbed oscillators with new methods

DOI10.1016/S0168-9274(01)00121-0zbMath1102.70300MaRDI QIDQ1602751

Amelia García, Pablo Martín, José-Miguel Farto, Ana-Belén González

Publication date: 24 June 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for initial value problems involving ordinary differential equations (65L05) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items

Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods, Piecewise-linearized methods for initial-value problems with oscillating solutions, Symplectic explicit methods of Runge-Kutta-Nyström type for solving perturbed oscillators

Cites Work

• Unnamed Item
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• On ODE-solver based on the method of averaging
• Some remarks on an ODE-solver of Kirchgraber
• Increased accuracy of computations in the main satellite problem through linearization methods
• Improved numerical integration of perturbed oscillators via average
• An algorithm for the systematic construction of solutions to perturbed problems
• A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
• On numerical integration of perturbed linear oscillating systems
• Families of Runge-Kutta-Nystrom Formulae
• Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• A general canonical transformation increasing the number of variables with application to the two-body problem