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001     16315
005     20220930130019.0
020 _ _ |a 978-3-89336-770-2
024 7 _ |2 ISSN
|a 1868-8489
024 7 _ |2 urn
|a urn:nbn:de:0001-2012020810
024 7 _ |2 Handle
|a 2128/4571
037 _ _ |a PreJuSER-16315
041 _ _ |a English
082 _ _ |a 500
082 _ _ |a 600
100 1 _ |0 P:(DE-Juel1)132152
|a Kabadshow, Ivo
|b 0
|e Corresponding author
|g male
|u FZJ
245 _ _ |a Periodic Boundary Conditions and the Error-Controlled Fast Multipole Method
260 _ _ |a Jülich
|b Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag
|c 2012
300 _ _ |a V, 126 S.
336 7 _ |0 PUB:(DE-HGF)11
|2 PUB:(DE-HGF)
|a Dissertation / PhD Thesis
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|a Book
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|a Thesis
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336 7 _ |2 ORCID
|a DISSERTATION
490 0 _ |0 PERI:(DE-600)2525100-4
|a Schriften des Forschungszentrums Jülich. IAS Series
|v 11
500 _ _ |a Record converted from JUWEL: 18.07.2013
500 _ _ |a Record converted from VDB: 12.11.2012
500 _ _ |a Persistent Identifier: urn:nbn:de:0001-2012020810 Resolving URL: http://www.persistent-identifier.de/?link=610
502 _ _ |a Universität Wuppertal, Diss., 2012
|b Dr. (Univ.)
|c Universität Wuppertal
|d 2012
520 _ _ |a The 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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536 _ _ |0 G:(DE-Juel1)FMM-20140729
|c FMM-20140729
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|a FMM - Fast Multipole Method (FMM-20140729)
655 _ 7 |a Hochschulschrift
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856 4 _ |u https://juser.fz-juelich.de/record/16315/files/IAS_Series_11.pdf
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914 1 _ |y 2012
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