中文

Accelerating the Hybrid Monte Carlo algorithm with ILU preconditioning

高能物理 - 格点 2007-05-23 v2

摘要

The pseudofermion action of the Hybrid Monte Carlo (HMC) algorithm for dynamical fermions is modified to directly incorporate Incomplete LU (ILU) factorisation. This reduces the stochastic noise and allows a larger molecular dynamics step-size to be taken, cutting the computational cost. Numerical tests using the two-flavour Schwinger model are presented, where a two-step ILU preconditioning of the even-odd fermion matrix allows the step-size to be increased by a factor of two over the standard even-odd formulation.

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引用

@article{arxiv.hep-lat/0011080,
  title  = {Accelerating the Hybrid Monte Carlo algorithm with ILU preconditioning},
  author = {Mike Peardon},
  journal= {arXiv preprint arXiv:hep-lat/0011080},
  year   = {2007}
}

备注

14 pages with 5 figures (in 9 eps files). Uses epsf.sty. Added a reference