Almost symplectic Runge-Kutta schemes for Hamiltonian systems

DOI10.1016/j.jcp.2004.08.012zbMath1069.65140OpenAlexW2170800503MaRDI QIDQ706836

Xiaobo Tan

Publication date: 9 February 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.08.012

zbMATH Keywords

Newton's methodHamiltonian structureConvergenceNumerical examplesError boundsNumerical comparisonsFixed-point iterationGeometric integratorsPseudo-symplecticitySymplectic Runge-Kutta methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) 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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