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@PHDTHESIS{Kabadshow:16315,
      author       = {Kabadshow, Ivo},
      title        = {{P}eriodic {B}oundary {C}onditions and the
                      {E}rror-{C}ontrolled {F}ast {M}ultipole {M}ethod},
      volume       = {11},
      school       = {Universität Wuppertal},
      type         = {Dr. (Univ.)},
      address      = {Jülich},
      publisher    = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
      reportid     = {PreJuSER-16315},
      isbn         = {978-3-89336-770-2},
      series       = {Schriften des Forschungszentrums Jülich. IAS Series},
      pages        = {V, 126 S.},
      year         = {2012},
      note         = {Record converted from JUWEL: 18.07.2013; Universität
                      Wuppertal, Diss., 2012},
      abstract     = {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.},
      cin          = {JSC},
      ddc          = {500},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {Scientific Computing (FUEK411) / 411 - Computational
                      Science and Mathematical Methods (POF2-411) / FMM - Fast
                      Multipole Method (FMM-20140729)},
      pid          = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411 /
                      G:(DE-Juel1)FMM-20140729},
      typ          = {PUB:(DE-HGF)11 / PUB:(DE-HGF)3},
      urn          = {urn:nbn:de:0001-2012020810},
      url          = {https://juser.fz-juelich.de/record/16315},
}