Analytic Integration of the Newton Potential over Cuboids and an Application to Fast Multipole Methods
Keyword(s):
Abstract We present simplified formulæ for the analytic integration of the Newton potential of polynomials over boxes in two- and three-dimensional space. These are implemented in an easy-to-use C++ library that allows computations in arbitrary precision arithmetic which is also documented here. We describe how these results can be combined with fast multipole methods to evaluate the Newton potential of more general, non-polynomial densities.
2019 ◽
Keyword(s):
2021 ◽
Vol 1111
(1)
◽
pp. 012034