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arXiv · 1512.03812

Adapted nested force-gradient integrators: the Schwinger model case

Dmitry Shcherbakov·Matthias Ehrhardt·Jacob Finkenrath·Michael Günther·Francesco Knechtli·Michael Peardon
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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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Dmitry Shcherbakov, Matthias Ehrhardt, Jacob Finkenrath, Michael Günther, Francesco Knechtli, Michael Peardon. 2015-12-11. Adapted nested force-gradient integrators: the Schwinger model case. https://arxiv.org/abs/1512.03812

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