TY - JOUR T1 - Adapted Nested Force-Gradient Integrators: The Schwinger Model Case 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 -

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.