Research reports

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Extension and simple Proof of Lekner's Summation Formula for Coulomb Forces

by R. Sperb

(Report number 1993-06)

Abstract
A summation formula is proven for a lattice sum occurring frequently in molecular dynamics calculations. It has a much faster convergence rate than the original sum. An important application is in the case of Coulomb forces.

Keywords: Coulomb forces, lattice sums, molecular dynamics

@Techreport{S93_31,
  author = {R. Sperb},
  title = {Extension and simple Proof of Lekner's Summation Formula for Coulomb Forces},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1993-06},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1993/1993-06.pdf },
  year = {1993}
}

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