• Corpus ID: 53699516

A Fully Traceless Cartesian Multipole Formulation for the Distributed Fast Multipole Method

@article{Coles2018AFT,
  title={A Fully Traceless Cartesian Multipole Formulation for the Distributed Fast Multipole Method},
  author={Jonathan P. Coles and Rebekka Bieri},
  journal={arXiv: Computational Physics},
  year={2018}
}
  • J. Coles, R. Bieri
  • Published 15 November 2018
  • Computer Science
  • arXiv: Computational Physics
We present efficient operators for the fast multipole method (FMM) based on totally symmetric and traceless Cartesian multipole tensors, which have been designed to translate well into computer code. Using the traceless tensor form significantly reduces memory usage and network communication traffic for large-scale applications in molecular dynamics and astrophysics. We have also developed a software generator that symbolically produces, verifies, and optimizes code for the FMM operators. The… 
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Figures and Tables from this paper

fmmgen: Automatic Code Generation of Operators for Cartesian Fast Multipole and Barnes-Hut Methods
TLDR
This paper details the implementation and testing of a software package, fmmgen, in which the source code for Barnes-Hut and Fast Multipole operator functions for calculating calculate the potential, field or both from arbitrary ordered sources is easily generated through symbolic algebra.

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