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Fast computation of the spectral differentiation by the fast multipole method
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan Tian, Shuhuang Xiang, Guidong Liu
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The very fast multipole method
The Journal of Chemical Physics, 1994The fast multipole method (FMM) has become an important alternative to traditional methods such as the Ewald method for computing the long-range interactions necessary to simulate charged or dipolar systems. In this paper, we present an improvement of this method, which we shall call the very fast multipole method (VFMM).
H. G. Petersen +3 more
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Fast-multipole method: a mathematical study
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997Summary: Realistic treatment of scattering from an object involves the use of a huge number of points; thus using ``fast methods'' is a crucial issue. The fast multipole method is one of them. We are here interested in solving the Helmholtz equation by a boundary element method. The algorithm, first introduced by \textit{V. Rokhlin} [J. Comput.
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The continuous fast multipole method
Chemical Physics Letters, 1994We introduce the continuous fast multipole method (CFMM), a generalization of the fast multipole method for calculating Coulomb interaction of point charges. The CFMM calculates Coulomb interactions between charge distributions, represented by continuous functions, in work scaling linearly with their number for constant density systems.
Christopher A. White +3 more
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Fast multipole method for poroelastodynamics
Engineering Analysis with Boundary Elements, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The fast multipole boundary element method for potential problems: A tutorial
Engineering Analysis With Boundary Elements, 2006Yijun Liu
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