2015/12/11 by Shcherbakov, Dmitry, Ehrhardt, Matthias, Finkenrath, Jacob +3 · 1 citation
#34C40 #65L06 #65P10 #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Numerical Analysis (math.NA) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.1512.03812
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.