Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
null Carstensen, Carsten / Chen, Zhangxin / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Hackbusch, Wolfgang H.C. / Langer, Ulrich / Lazarov, Raytcho / Neittaanmaki, P. / Pironneau, O. / Quarteroni, Alfio / Rannacher, Rolf / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Widlund, O. / Zou, Jun / Axelsson, Owe / Bjorstad, Petter E. / Kawarada, Hideo
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*M. Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Krakw, Poland.
Citation Information: Journal of Numerical Mathematics. Volume 19, Issue 3, Pages 215–224, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: 10.1515/jnum.2011.010, November 2011
Publication History:
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.
Keywords:: geometric integration; symplectic integrator; energy preserving methods
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