001     165654
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024 7 _ |2 doi
|a 10.1016/j.cpc.2013.10.011
024 7 _ |2 ISSN
|a 1879-2944
024 7 _ |2 ISSN
|a 1386-9485
024 7 _ |2 ISSN
|a 0010-4655
024 7 _ |2 arXiv
|a arXiv:1302.6419
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088 _ _ |a arXiv:1302.6419
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100 1 _ |0 P:(DE-H253)PIP1003636
|a Jansen, Karl
|b 0
|e Corresponding author
245 _ _ |a Quasi-Monte Carlo methods for lattice systems: A first look
260 _ _ |a Amsterdam
|b North Holland Publ. Co.
|c 2014
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500 _ _ |3 POF3_Assignment on 2016-02-09
520 _ _ |a We investigate the applicability of quasi-Monte Carlo methods to Euclidean lattice systems for quantum mechanics in order to improve the asymptotic error behavior of observables for such theories. In most cases the error of an observable calculated by averaging over random observations generated from an ordinary Markov chain Monte Carlo simulation behaves like N−1/2N−1/2, where NN is the number of observations. By means of quasi-Monte Carlo methods it is possible to improve this behavior for certain problems to N−1N−1, or even further if the problems are regular enough. We adapted and applied this approach to simple systems like the quantum harmonic and anharmonic oscillator and verified an improved error scaling.
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700 1 _ |0 P:(DE-HGF)0
|a Leovey, H.
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700 1 _ |0 P:(DE-H253)PIP1005939
|a Ammon, A.
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|a Griewank, A.
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700 1 _ |0 P:(DE-HGF)0
|a Müller-Preussker, M.
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|a 10.1016/j.cpc.2013.10.011
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|t Computer physics communications
|v 185
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856 4 _ |u https://bib-pubdb1.desy.de/record/165654/files/DESY-2014-00620.pdf
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