title: Explicit symplectic integrators for solving nonseparable Hamiltonians.
abstract: By exploiting the error functions of explicit symplectic integrators for solving separable Hamiltonians, I show that it is possible to develop explicit time-reversible symplectic integrators for solving nonseparable Hamiltonians of the product form. The algorithms are unusual in that they are of fractional orders.
authors.affiliation: Department of Physics, Texas A&M University, College Station, Texas 77843, USA.
authors.forename: Siu A
authors.initials: SA
authors.lastname: Chin
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted