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Optimal multigrid algorithms for the massive Gaussian model and path integrals
Author(s) -
Achi Brandt,
Meirav Galun
Publication year - 1996
Publication title -
journal of statistical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.71
H-Index - 115
eISSN - 1572-9613
pISSN - 0022-4715
DOI - 10.1007/bf02183393
Subject(s) - multigrid method , observable , gaussian , path (computing) , mathematics , algorithm , grid , statistical physics , path integral formulation , standard deviation , computer science , physics , mathematical analysis , statistics , geometry , quantum mechanics , partial differential equation , programming language , quantum
Multigrid algorithms are presented which, in addition to eliminating the critical slowing down, can also eliminate the “volume factor”. The elimination of the volume factor removes the need to produce many independent fine-grid configurations for averaging out their statistical deviations, by averaging over the many samples produced on coarse grids during the multigrid cycle. Thermodynamic limits of observables can be calculated to relative accuracy εr in justO(ε

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