A note on symplectic and symmetric ARKN methods

DOI10.1016/j.cpc.2013.06.001zbMath1349.65218OpenAlexW2093034039MaRDI QIDQ340063

Wei Shi, Xin-Yuan Wu

Publication date: 11 November 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.06.001

zbMATH Keywords

ARKN integratorsoscillatory separable Hamiltonian systemsymplecticity conditions

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (4)

Symplectic and symmetric trigonometrically-fitted ARKN methods ⋮ An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems ⋮ The existence of explicit symplectic ARKN methods with several stages and algebraic order greater than two ⋮ Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs

Cites Work

• Multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems
• Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods
• Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods
• Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
• On symplectic and symmetric ARKN methods
• Structure-Preserving Algorithms for Oscillatory Differential Equations

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