On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms

Canonical transformations depending on a small parameter

Andr� Deprit · Celestial Mechanics and Dynamical Astronomy · 1969 · 994 citations

Natural Sciences, Materials Science, Dynamical Systems +6

Symplectic integration of Hamiltonian systems

Paul J. Channell, Clint Scovel · Nonlinearity · 1990 · 441 citations

Natural Sciences, Mathematics, Physics +17

The accuracy of symplectic integrators

Robert I. McLachlan, Pau Atela · Nonlinearity · 1992 · 381 citations

Natural Sciences, Mathematics, Physics +17

Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II

Giancarlo Benettin, L. Galgani, Antonio Giorgilli · Communications in Mathematical Physics · 1989 · 122 citations

Natural Sciences, Physics, Dynamical Systems +15

Practical algorithms for dynamic simulations

H. J. C. Berendsen · Medical Entomology and Zoology · 1986 · 80 citations

Computing, Computational Engineering, Computer Science +13