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- W3102212431 abstract "We construct numerical integrators for Hamiltonian problems that may advantageously replace the standard Verlet time-stepper within Hybrid Monte Carlo and related simulations. Past attempts have often aimed at boosting the order of accuracy of the integrator and/or reducing the size of its error constants; order and error constant are relevant concepts in the limit of vanishing step-length. We propose an alternative methodology based on the performance of the integrator when sampling from Gaussian distributions with not necessarily small step-lengths. We construct new splitting formulae that require two, three or four force evaluations per time-step. Limited, proof-of-concept numerical experiments suggest that the new integrators may provide an improvement on the efficiency of the standard Verlet method, especially in problems with high dimensionality." @default.
- W3102212431 created "2020-11-23" @default.
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- W3102212431 date "2014-01-01" @default.
- W3102212431 modified "2023-09-28" @default.
- W3102212431 title "Numerical Integrators for the Hybrid Monte Carlo Method" @default.
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- W3102212431 doi "https://doi.org/10.1137/130932740" @default.
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