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Volume 21, Issue 4
Adapted Nested Force-Gradient Integrators: The Schwinger Model Case

Dmitry Shcherbakov, Matthias Ehrhardt, Jacob Finkenrath, Michael Günther, Francesco Knechtli & Michael Peardon

DOI: 10.4208/cicp.OA-2016-0048

Commun. Comput. Phys., 21 (2017), pp. 1141-1153.

Published online: 2018-04

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  • 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. 

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@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} }
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 -

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. 

Dmitry Shcherbakov, Matthias Ehrhardt, Jacob Finkenrath, Michael Günther, Francesco Knechtli and Michael Peardon. (2018). Adapted Nested Force-Gradient Integrators: The Schwinger Model Case. Communications in Computational Physics. 21 (4). 1141-1153. doi:10.4208/cicp.OA-2016-0048
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