Numerical integration of Hamiltonian problems by G-symplectic methods

DOI10.1007/s10444-013-9318-zzbMath1301.65127OpenAlexW2052892450MaRDI QIDQ457696

Beatrice Paternoster, Giuseppe De Martino, Raffaele D'Ambrosio

Publication date: 29 September 2014

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-013-9318-z

zbMATH Keywords

comparison of methodsnumerical experimentsgeneral linear methodssymmetric methodsHamiltonian problemsgeometric numerical integrationB-series methodG-symplectic methodssymplectic Runge-Kutta methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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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