article · 2012

Algorithm

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Abstract

A multipole expansion approximates the potential at the origin due to particles within a sphere centered at a distant point r. space Evaluating the energy of a system of N bodies interacting via a pairwise potential is naïvely an O(N) problem. The Fast Multipole Method [1] allows approximation to a specified level of accuracy in only O(N) time. It is widely used in molecular dynamics and astrophysical simulations. r multipole expansion 3D space is divided into an octree of cubic boxes.

Cite this paper

(2012). Algorithm.

“Algorithm.” 2012.

2012. “Algorithm.”

(2012) ‘Algorithm’.

BibTeX

@article{anon2012algorithm,
  title = {{Algorithm}},
  year = {2012}
}

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