The development of variable-step symplectic integrators with application to the two-body problem

Symplectic Methods for the Solution to Riccati Matrix Equations Relatedto Macroeconomic Models

Computational Economics

From Sir Isaac to the Sloan survey: calculating the structure and chaos owing to gravity in the universe

SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms

Practical symplectic partitioned Runge--Kutta and Runge--Kutta--Nyström methods

Journal of Computational and Applied Mathematics

A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems

Mathematics of Computation

The pursuit of the whole NChilada: Virtual petaflops using multi-adaptive algorithms for gravitational systems

IBM Journal of Research and Development

N-body simulations: The performance of some integrators

ACM Transactions on Mathematical Software (TOMS)

A discrete action principle for electrodynamics and the construction of explicit symplectic integrators for linear, non-dispersive media

Journal of Computational Physics

Original article: Error growth in the numerical integration of periodic orbits

Mathematics and Computers in Simulation

Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods

Mathematical and Computer Modelling: An International Journal

A fifth algebraic order trigonometrically-fitted modified runge-kutta zonneveld method for the numerical solution of orbital problems

Mathematical and Computer Modelling: An International Journal