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

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


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

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  • 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. 

  • History

Published online: 2018-04

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