Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods

DOI10.1007/s10543-012-0379-zzbMath1258.65068OpenAlexW2116724366MaRDI QIDQ1759583

Bin Wang, Xin-Yuan Wu, Jian-Lin Xia

Publication date: 21 November 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0379-z

zbMATH Keywords

numerical experimentsRunge-Kutta-Nyström methodsHamiltonian systemoscillatory systemssymplecticity conditionsexponential fitiing

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) 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) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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