An overview of fast multipole methods

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Description

A number of physics problems may be cast in terms of Hilbert-Schmidt integral equations. In many cases, the integrals tend to be zero over a large portion of the domain of interest. All of the information is contained in compact regions of the domain which renders their use very attractive from the standpoint of efficient numerical computation. Discrete representation of these integrals leads to a system of N elements which have pair-wise interactions with one another. A direct solution technique requires computational effort which is O(N{sup 2}). Fast multipole methods (FMM) have been widely used in recent years to obtain ... continued below

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39 p.

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Strickland, J.H. & Baty, R.S. November 1, 1995.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

A number of physics problems may be cast in terms of Hilbert-Schmidt integral equations. In many cases, the integrals tend to be zero over a large portion of the domain of interest. All of the information is contained in compact regions of the domain which renders their use very attractive from the standpoint of efficient numerical computation. Discrete representation of these integrals leads to a system of N elements which have pair-wise interactions with one another. A direct solution technique requires computational effort which is O(N{sup 2}). Fast multipole methods (FMM) have been widely used in recent years to obtain solutions to these problems requiring a computational effort of only O(Nln N) or O(N). In this paper we present an overview of several variations of the fast multipole method along with examples of its use in solving a variety of physical problems.

Physical Description

39 p.

Notes

OSTI as DE96002239

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  • Other Information: PBD: Nov 1995

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  • Other: DE96002239
  • Report No.: SAND--95-2405
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/130669 | External Link
  • Office of Scientific & Technical Information Report Number: 130669
  • Archival Resource Key: ark:/67531/metadc621392

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  • November 1, 1995

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 14, 2016, 9:07 p.m.

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Strickland, J.H. & Baty, R.S. An overview of fast multipole methods, report, November 1, 1995; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc621392/: accessed September 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.