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000016315 1001_ $$0P:(DE-Juel1)132152$$aKabadshow, Ivo$$b0$$eCorresponding author$$gmale$$uFZJ
000016315 245__ $$aPeriodic Boundary Conditions and the Error-Controlled Fast Multipole Method
000016315 260__ $$aJülich$$bForschungszentrum Jülich GmbH Zentralbibliothek, Verlag$$c2012
000016315 300__ $$aV, 126 S.
000016315 3367_ $$0PUB:(DE-HGF)11$$2PUB:(DE-HGF)$$aDissertation / PhD Thesis
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000016315 4900_ $$0PERI:(DE-600)2525100-4$$aSchriften des Forschungszentrums Jülich. IAS Series$$v11
000016315 502__ $$aUniversität Wuppertal, Diss., 2012$$bDr. (Univ.)$$cUniversität Wuppertal$$d2012
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000016315 520__ $$aThe simulation of pairwise interactions in huge particle ensembles is a vital issue in scientific research. Especially the calculation of long-range interactions poses limitations to the system size, since these interactions scale quadratically with the number of particles. Fast summation techniques like the Fast Multipole Method (FMM) can help to reduce the complexity to $\mathcal{O}$(N). This work extends the possible range of applications of the FMM to periodic systems in one, two and three dimensions with one unique approach. Together with a tight error control, this contribution enables the simulation of periodic particle systems for different applications without the need to know and tune the FMM specific parameters. The implemented error control scheme automatically optimizes the parameters to obtain an approximation for the minimal runtime for a given energy error bound.
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000016315 536__ $$0G:(DE-Juel1)FMM-20140729$$aFMM - Fast Multipole Method (FMM-20140729)$$cFMM-20140729$$x2
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