Explicit symplectic integrators for solving nonseparable Hamiltonians.
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.
Chin
Siu A
SA
Department of Physics, Texas A&M University, College Station, Texas 77843, USA.
D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted