Accessible Requires Authentication Published by De Gruyter November 15, 2011

Energy preserving symplectic integrators

J. Karkowski
From the journal


Three one-parameter, eighth-order families of symplectic integrators are presented. They are based on the Strang splitting, the Forest–Ruth construction, and the Zassenhaus formula, respectively. In each time-step, a free parameter is adopted to preserve energy exactly in this step. Numerical experiments show that such a procedure is possible both in double- and quad-precision computations. Therefore, our integrators can be called energy preserving symplectic integrators.

Received: 2011-03-09
Revised: 2011-08-04
Published Online: 2011-11-15
Published in Print: 2011-October

© de Gruyter 2011