The performance of phase-lag enhanced explicit Runge-Kutta Nyström pairs on \(N\)-body problems

DOI10.1016/j.cam.2011.11.024zbMath1251.70001OpenAlexW2083707802MaRDI QIDQ765289

J. C. Castillo-Rogez, Kevin R. Grazier, Philip W. Sharp

Publication date: 19 March 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.11.024

zbMATH Keywords

oscillatory solutionslocal errorlong-time integration

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) (n)-body problems (70F10)

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Uses Software

• mctoolbox

Cites Work

• High order Runge--Kutta--Nyström codes for the integration of oscillatory problems.
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Families of Runge-Kutta-Nystrom Formulae
• N-body simulations
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• Algorithm 670: a Runge-Kutta-Nyström code
• High Phase-Lag-Order Runge--Kutta and Nyström Pairs
• Accuracy and Stability of Numerical Algorithms