Explicit symplectic integrators for solving nonseparable Hamiltonians. Academic Article

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

• Chin, Siu

published proceedings

• Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

• Chin, S. A.

citation count

• 18

complete list of authors

• Chin, Siu A

publication date

• September 2009

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review E: Statistical, Nonlinear, and Soft Matter Physics  Journal

keywords

• Algorithms
• Computer Simulation
• Models, Theoretical
• Numerical Analysis, Computer-assisted

Digital Object Identifier (DOI)

• 10.1103/PhysRevE.80.037701

URI

• https://hdl.handle.net/1969.1/180012

start page

• 037701

volume

• 80

issue

• 3 Pt 2

URL

• http://dx.doi.org/10.1103/physreve.80.037701