Linearization-preserving self-adjoint and symplectic integrators

The applicability of the third integral of motion: Some numerical experiments

M. Hénon, C. Heiles · The Astronomical Journal · 1964 · 2K citations

Numerical Analysis, Integral Geometry, Engineering +13

Exponential Integrators for Large Systems of Differential Equations

Marlis Hochbruck, Christian Lubich, Hubert Selhofer · SIAM Journal on Scientific Computing · 1998 · 499 citations · Full text

Numerical Analysis, Spectral Theory, Exponential Integrators +13

Symplectic integration of Hamiltonian systems

Paul J. Channell, Clint Scovel · Nonlinearity · 1990 · 433 citations

Spectral Theory, Hamiltonian Theory, Hamiltonian Systems +9

Matrices: methods and applications

Choice Reviews Online · 1991 · 324 citations

Spectral Theory, Algebraic Method, Basic Algebra +6

Difference schemes for Hamiltonian formalism and symplectic geometry

Kang Feng · Journal of Computational Mathematics · 1986 · 247 citations

Hamiltonian Theory, Geometry, Hamiltonian Formalism +2