RT info:eu-repo/semantics/article T1 Palindromic 3-stage splitting integrators, a roadmap A1 Martínez Campos, Cédric A1 Sanz Serna, Jesús María AB The implementation of multi-stage splitting integrators is essentially the same as the implementation of the familiar Strang/Verlet method. Therefore multi-stage formulas may be easily incorporated into software that now uses the Strang/Verlet integrator. We study in detail the two-parameter family of palindromic, three-stage splitting formulas and identify choices of parameters that may outperform the Strang/Verlet method. One of these choices leads to a method of effective order four suitable to integrate in time some partial differential equations. Other choices may be seen as perturbations of the Strang method that increase efficiency in molecular dynamics simulations and in Hybrid Monte Carlo sampling. SN 0021-9991 YR 2017 FD 2017 LK http://uvadoc.uva.es/handle/10324/28929 UL http://uvadoc.uva.es/handle/10324/28929 LA eng NO Journal of Computational Physics, Volume 346, 1 October 2017, Pages 340-355 DS UVaDOC RD 25-abr-2024