Yet another fast multipole method without multipoles --- Pseudo-particle multipole method

Details Yet another fast multipole method without multipoles --- Pseudo-particle multipole method Yet another fast multipole method without multipoles --- Pseudo-particle multipole method

1998-06-16

arxiv.org/abs/astro-ph/9806213v1

Astronomy and Astrophysics

Astrophysics

14 pages, 2 figures

Scientific paper

10.1006/jcph.1999.6226

In this paper we describe a new approach to implement the O(N) fast multipole method and $O(N\log N)$ tree method, which uses pseudoparticles to express the potential field. The new method is similar to Anderson's method, which uses the values of potential at discrete points to represent the potential field. However, for the same expansion order the new method is more accurate and computationally efficient.

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