Explicit symplectic partitioned Runge-Kutta-Nyström methods for non-autonomous dynamics

DOI10.1016/j.apnum.2011.02.003zbMath1216.65176OpenAlexW2026940572MaRDI QIDQ534259

Fasma Diele, Carmela Marangi

Publication date: 17 May 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.02.003

zbMATH Keywords

numerical examplesnon-autonomous dynamical systemsNyström methodsorder analysissymplectic partitioned Runge-Kutta methods

Mathematics Subject Classification ID

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)

Related Items (4)

Symplecticness conditions of some low order partitioned methods for non-autonomous Hamiltonian systems ⋮ Splitting schemes and energy preservation for separable Hamiltonian systems ⋮ IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics ⋮ IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics

Cites Work

• Splitting and composition methods for explicit time dependence in separable dynamical systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
• Further reduction in the number of independent order conditions for symplectic, explicit partitioned Runge-Kutta and Runge-Kutta-Nyström methods
• Splitting methods in the numerical integration of non-autonomous dynamical systems
• Stick-slip chaos detection in coupled oscillators with friction
• Splitting methods for non-autonomous linear systems
• Explicit Canonical Methods for Hamiltonian Systems
• On Order Conditions for Partitioned Symplectic Methods
• Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems
• Splitting methods for non-autonomous separable dynamical systems
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