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A pragmatic overview of fast multipole methods

Conference ·
DOI:https://doi.org/10.2172/130669· OSTI ID:168696

A number of physics problems can be modeled by a set 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 0 (N lnN) 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.

Research Organization:
Sandia National Labs., Albuquerque, NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
168696
Report Number(s):
SAND--95-2405C; CONF-9508191--1; ON: DE96002472
Country of Publication:
United States
Language:
English

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