Diploma Thesis PreJuSER-51649

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The Fast Multipole Method - Alternative Gradient Algorithm and Parallelization



2006
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag Jülich

Jülich : Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag, Berichte des Forschungszentrums Jülich 4215, 78 p. () = Chemnitz, Univ., Dipl., 2006

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Report No.: Juel-4215

Abstract: This thesis describes the Fast Multipole Method (FMM). The method reduces the complexity of the Coulomb problem from O(N$^{2}$) to O(N) and is therefore called a fast Coulomb solver. The FMM is advantageous for the calculation of pairwise interactions, especially for large systems. This work is divided in three parts. The first part addresses the fundamentals of the FMM. The second part discusses the force calculation with the gradient. Two different implementations of the gradient are discussed. The last part shows the parallelization of the FMM. The procedure is described exemplarily for one pass.


Note: Record converted from VDB: 12.11.2012
Note: Chemnitz, Univ., Dipl., 2006

Contributing Institute(s):
  1. Zentralinstitut für Angewandte Mathematik (ZAM)
Research Program(s):
  1. Scientific Computing (P41)

Appears in the scientific report 2006
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 Record created 2012-11-13, last modified 2020-06-10


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