Research ArticleOpen accessIn the keywordsMultilevel Evaluation of Coulomb Lattice Sums of Charge SystemsV. Ilyin, A. Brandt, I. SuwanProblem statement: Due to the long range nature of interactions of the N-body systems, direct computation of the Coulomb potential energy involves O(N2) operations. To decrease such complexity, a simple Multilevel Summation method has been developed. Approach: In the frame of the Multilevel Summation method, the two-body interaction is decomposed into two parts: a local part and a smooth part. … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 11 Sep 2012 · 7,377 accessesView PDFCite