TY - JOUR
T1 - Adapted Nested Force-Gradient Integrators: The Schwinger Model Case
AU - Dmitry Shcherbakov, Matthias Ehrhardt, Jacob Finkenrath, Michael Günther, Francesco Knechtli & Michael Peardon
JO - Communications in Computational Physics
VL - 4
SP - 1141
EP - 1153
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.OA-2016-0048
UR - https://global-sci.org/intro/article_detail/cicp/11274.html
KW - 
AB - <p style="text-align: justify;">We study a novel class of numerical integrators, the adapted nested force-gradient
schemes, used within the molecular dynamics step of the Hybrid Monte Carlo
(HMC) algorithm. We test these methods in the Schwinger model on the lattice, a well
known benchmark problem. We derive the analytical basis of nested force-gradient
type methods and demonstrate the advantage of the proposed approach, namely reduced
computational costs compared with other numerical integration schemes in
HMC.&nbsp;</p>