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

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

Published online: 2018-04

Preview Full PDF 97 555
Export citation
  • Abstract

We study a novel class of numerical integrators, the adapted nested forcegradient 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. 

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@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 forcegradient 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} }
Copy to clipboard
The citation has been copied to your clipboard