An improved class of generalized Runge-Kutta-Nyström methods for special second-order differential equations.

DOI10.1016/S1007-5704(03)00111-4zbMath1037.65072OpenAlexW1968428981MaRDI QIDQ1421549

Jesús Rojo, Jorge Alvarez

Publication date: 26 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00111-4

zbMATH Keywords

stabilityorderNumerical experimentsOscillatory problemsGeneralized Runge-Kutta-Nyström methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Nyström methods and singular second-order differential equations

Cites Work

• VSVO multistep formulae adapted to perturbed second-order differential equations
• Some modified Runge-Kutta methods for the numerical solution of initial-value problems with oscillating solutions
• A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems
• Behaviour of the SMF method for the numerical integration of satellite orbits
• An improved class of generalized Runge-Kutta methods for stiff problems. I: The scalar case
• Special methods for the numerical integration of some ODEs systems.
• Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
• Solving Ordinary Differential Equations I
• A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems

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