, Volume 55, Issue 5, pp 1043-1051
Date: 03 Mar 2012

A pedestrian introduction to fast multipole methods

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


This paper provides a conceptual and non-rigorous description of the fast multipole methods for evaluating convolution kernel functions with source distributions. Both the non-oscillatory and the oscillatory kernels are considered. For non-oscillatory kernel, we outline the main ideas of the classical fast multipole method proposed by Greengard and Rokhlin. In the oscillatory case, the directional fast multipole method developed recently by Engquist and Ying is presented.