Multipole Ewald sums for the fast multipole method

Kevin Schmidt, Michael A. Lee

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A generalized Ewald summation for electric multipoles in periodic arrays is presented in the form needed for multipole transformations used in the fast multipole method. In the fast multipole method the time-consuming Ewald sums are thus eliminated in favor of a simple matrix transformation with almost no computational cost. The derivation also applies to traditional electrostatic potential calculations in periodic charged systems. A summary computational prescription is provided.

Original languageEnglish (US)
Pages (from-to)411-424
Number of pages14
JournalJournal of Statistical Physics
Volume89
Issue number1-2
StatePublished - Oct 1997

Fingerprint

Fast multipole Method
multipoles
Matrix Transformation
Periodic Systems
Summation
Electrostatics
Computational Cost
derivation
electrostatics
costs
matrices
Form

Keywords

  • Ewald sum
  • Fast multipole method
  • N-body problem

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Multipole Ewald sums for the fast multipole method. / Schmidt, Kevin; Lee, Michael A.

In: Journal of Statistical Physics, Vol. 89, No. 1-2, 10.1997, p. 411-424.

Research output: Contribution to journalArticle

Schmidt, Kevin ; Lee, Michael A. / Multipole Ewald sums for the fast multipole method. In: Journal of Statistical Physics. 1997 ; Vol. 89, No. 1-2. pp. 411-424.
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