Adapted Nested Force-Gradient Integrators: The Schwinger Model Case

Adapted Nested Force-Gradient Integrators: The Schwinger Model Case

Year:    2017

Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2016-0048

Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 1141–1153

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords: