A simplified Nyström-tree theory for extended Runge-Kutta-Nyström integrators solving multi-frequency oscillatory systems
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Publication:339268
DOI10.1016/j.cpc.2014.07.002zbMath1348.65110OpenAlexW2041564428MaRDI QIDQ339268
Hongli Yang, Xianyang Zeng, Zhengliang Ru, Xin-Yuan Wu
Publication date: 10 November 2016
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2014.07.002
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
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Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations ⋮ An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems ⋮ A feasible and effective technique in constructing ERKN methods for multi-frequency multidimensional oscillators in scientific computation ⋮ A novel class of explicit divergence-free time-domain methods for efficiently solving Maxwell's equations ⋮ The construction of arbitrary order ERKN methods based on group theory for solving oscillatory Hamiltonian systems with applications ⋮ Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs ⋮ Multiderivative extended Runge–Kutta–Nyström methods for multi-frequency oscillatory systems ⋮ An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations ⋮ An approach to solving Maxwell's equations in time domain ⋮ The tri-coloured free-tree theory for symplectic multi-frequency ERKN methods
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