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Analytic Integration of the Newton Potential over Cuboids and an Application to Fast Multipole Methods

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arxiv 2012.10304 v1 pith:BWBMUCU4 submitted 2020-12-18 math.NA cs.NA

Matthias Kirchhart , Donat Weniger This is my paper · ORCID
classification math.NAcs.NA
keywords analyticfastintegrationmethodsmultipolenewtonpotentialallows
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We present simplified formulae 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 for general, non-polynomial data.

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