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Adapted nested force-gradient integrators: the Schwinger model case. (English) Zbl 1388.65182

Summary: 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.

MSC:

65P10 Numerical methods for Hamiltonian systems including symplectic integrators
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
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