Order properties of symplectic Runge-Kutta-Nyström methods

DOI10.1016/S0898-1221(04)90046-6zbMath1155.65396MaRDI QIDQ1767774

Ai-Guo Xiao, Yi-Fa Tang

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemRunge-Kutta-Nyström methodSymplecticityOrder condition

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 (2)

Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations ⋮ Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order

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