@Article{CiCP-21-1141, author = {Dmitry Shcherbakov, Matthias Ehrhardt, Jacob Finkenrath, Michael Günther, Francesco Knechtli and Michael Peardon}, title = {Adapted Nested Force-Gradient Integrators: The Schwinger Model Case}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {4}, pages = {1141--1153}, abstract = {
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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0048}, url = {http://global-sci.org/intro/article_detail/cicp/11274.html} }