Symplectic integrators from composite operator factorizations Academic Article

abstract

• I derive fourth order symplectic integrators by factorizing the exponential of two operators in terms of an additional higher order composite operator with positive coefficients. One algorithm requires only one evaluation of the force and one evaluation of the force and its gradient. When applied to Kepler's problem, the energy error function associated with these algorithms are approximately 10 to 80 times smaller than the fourth order Forest-Ruth, Candy-Rozmus integrator.

authors

• Chin, Siu

published proceedings

• PHYSICS LETTERS A

author list (cited authors)

• Chin, S. A.

citation count

• 202

complete list of authors

• Chin, SA

publication date

• March 1997

publisher

• Elsevier  Publisher

keywords

• Operator Factorization
• Symplectic Integrators

Digital Object Identifier (DOI)

• 10.1016/S0375-9601(97)00003-0

start page

• 344

end page

• 348

volume

• 226

issue

• 6

URL

• http://dx.doi.org/10.1016/s0375-9601(97)00003-0