Energy conserving, Liouville, and symplectic integrators

DOI10.1006/jcph.1995.1172zbMath0836.65088OpenAlexW2041383953MaRDI QIDQ1902391

Daniel I. Okunbor

Publication date: 29 April 1996

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

Full work available at URL: https://doi.org/10.1006/jcph.1995.1172

zbMATH Keywords

numerical resultsnumerical experimentstwo-body problemHamiltonian systemsRunge-Kutta-Nyström methodssine-Gordon equationsymplectic methodsHenon-Heiles problemStormer- Verlet symplectic method

Mathematics Subject Classification ID

Two-body problems (70F05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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