Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods

DOI10.1016/j.cpc.2015.03.011zbMath1344.65063OpenAlexW2155642479MaRDI QIDQ314003

Sergio Blanes

Publication date: 12 September 2016

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

Full work available at URL: http://hdl.handle.net/10251/67910

zbMATH Keywords

splitting methodsexponentially fitted RKN methodsextended RKN methodsperturbed non-autonomous oscillatory systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Topological dynamics of nonautonomous systems (37B55)

Related Items (5)

Energy-Preserving Continuous-Stage Exponential Runge--Kutta Integrators for Efficiently Solving Hamiltonian Systems ⋮ A feasible and effective technique in constructing ERKN methods for multi-frequency multidimensional oscillators in scientific computation ⋮ Numerical conservations of energy, momentum and actions in the full discretisation for nonlinear wave equations ⋮ A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems ⋮ Symmetric collocation ERKN methods for general second-order oscillators

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