A Variable Step Runge--Kutta--Nyström Integrator for Reversible Systems of Second Order Initial Value Problems

DOI10.1137/S030601727zbMath1121.65335OpenAlexW2041157903MaRDI QIDQ4652362

Jeff R. Cash

Publication date: 25 February 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s030601727

zbMATH Keywords

stabilitynumerical resultserror estimatesreversible systemsvariable stepsizelong term behaviorKepler's equationsRunge-Kutta-Nyström formula

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) Celestial mechanics (70F15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

Direct solutions ofnth-order IVPs by homotopy-perturbation method ⋮ Symmetric integrators based on continuous-stage Runge-Kutta-Nyström methods for reversible systems ⋮ Direct solution of \(n\)th-order IVPs by homotopy analysis method

Uses Software

• twpbvp
• acdc
• COLMOD

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