Linear-scaling self-consistent field calculations based on divide-and-conquer method using resolution-of-identity approximation on graphical processing units

Takeshi Yoshikawa, Hiromi Nakai

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Graphical processing units (GPUs) are emerging in computational chemistry to include Hartree2Fock (HF) methods and electron-correlation theories. However, ab initio calculations of large molecules face technical difficulties such as slow memory access between central processing unit and GPU and other shortfalls of GPU memory. The divide-and-conquer (DC) method, which is a linear-scaling scheme that divides a total system into several fragments, could avoid these bottlenecks by separately solving local equations in individual fragments. In addition, the resolution-of-the-identity (RI) approximation enables an effective reduction in computational cost with respect to the GPU memory. The present study implemented the DC-RI-HF code on GPUs using math libraries, which guarantee compatibility with future development of the GPU architecture. Numerical applications confirmed that the present code using GPUs significantly accelerated the HF calculations while maintaining accuracy.

Original languageEnglish
Pages (from-to)164-170
Number of pages7
JournalJournal of Computational Chemistry
Volume36
Issue number3
DOIs
Publication statusPublished - 2015 Jan 30

ASJC Scopus subject areas

  • Chemistry(all)
  • Computational Mathematics

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