Adapted Nested Force-Gradient Integrators: The Schwinger Model Case. (8th March 2017)

• Record Type: Journal Article
• Authors: Shcherbakov, Dmitry; Ehrhardt, Matthias; Finkenrath, Jacob; Günther, Michael; Knechtli, Francesco; Peardon, Michael
• Is Part Of: Communications in computational physics. Volume 21:Number 4(2017:Apr.)
• Page Start: 1141
• Page End: 1153
• Publication Date: 2017-03-08
• Subjects: 65P10, -- 65L06, -- 34C40; Numerical geometric integration, -- decomposition methods, -- energy conservation, -- force-gradient, -- nested algorithms, -- multi-rate schemes, -- operator splitting, -- Schwinger model; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0048
• Languages: English
• ISSNs: 1815-2406

Abstract

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.