Automated selection of optimal Gaussian fits to arbitrary functions in electronic structure theory

Claudine C. Tazartes, Christopher R. Anderson, Emily A. Carter

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We present a method of fitting arbitrary functions to linear combinations of Gaussians. In particular, we discuss an adaptation of Prony's method, or separation of exponentials, which allows us to automatically select appropriate exponents for these Gaussians. We then apply this technique to the selection of dealiasing sets for pseudospectral electron correlation methods. We show that it can successfully choose functions that generally improve the accuracy of pseudospectral correlation energies while reducing the size of the dealiasing set chosen.

Original languageEnglish (US)
Pages (from-to)1300-1314
Number of pages15
JournalJournal of Computational Chemistry
Volume19
Issue number11
DOIs
StatePublished - Aug 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Chemistry
  • Computational Mathematics

Keywords

  • Aliasing error
  • Electron correlation
  • Gaussian fits
  • Prony's method
  • Pseudospectral methods

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