Evidence map›Paper›PMID 42522741›Full record

ArticleJournal of computational chemistry2026

Fast and Accurate GPU-Accelerated Computation of Two-Electron Four-Center Coulomb Repulsion Integrals.

Avleen Kaur, William Chen, Gautam Kirshan Luhana, Lior Silberman, Mark Ewert, Alexandra Bünger, Ury Segal, Chen Greif

Abstract read
In one paragraph

Article in Journal of computational chemistry, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

8 authors.

Avleen KaurDepartment of Computer Science, The University of British Columbia, Vancouver, Canada.ORCID https://orcid.org/0000-0002-8689-9242
William ChenDepartment of Computer Science, The University of British Columbia, Vancouver, Canada.ORCID https://orcid.org/0009-0000-4460-455X
Gautam Kirshan LuhanaDepartment of Computer Science, The University of British Columbia, Vancouver, Canada.ORCID https://orcid.org/0009-0002-2162-8422
Lior SilbermanDepartment of Mathematics, The University of British Columbia, Vancouver, Canada.ORCID https://orcid.org/0000-0001-8756-3575
Mark EwertDepartment of Computer Science, The University of British Columbia, Vancouver, Canada.ORCID https://orcid.org/0009-0006-0719-1892
Alexandra BüngerDepartment of Computer Science, The University of British Columbia, Vancouver, Canada.ORCID https://orcid.org/0009-0005-0040-5846
Ury SegalDepartment of Computer Science, The University of British Columbia, Vancouver, Canada.
Chen GreifDepartment of Computer Science, The University of British Columbia, Vancouver, Canada.ORCID https://orcid.org/0009-0006-4103-4364

Funding

Natural Sciences and Engineering Research Council of Canada (NSERC) RGPIN-2019-03964Natural Sciences and Engineering Research Council of Canada (NSERC) RGPIN-2023-05244
6 · The paper itself

Abstract

Electron repulsion integrals are fundamental in ab initio quantum chemistry calculations, as their accurate evaluation is required for predicting molecular properties. We have developed GPU software for rapidly and accurately computing two-electron, four-center Coulomb repulsion integrals using Slater-type orbitals (STOs), with a runtime of approximately 0.06 s per integral for double-precision computations. The computations involve applying a simple transformation from classical electromagnetism to eliminate the Coulomb singularity in the integrals, and using numerical quadrature techniques. We implement our algorithms in a modern GPU-based computing environment, using CUDA intrinsic functions and high-performance computational strategies. We demonstrate the efficiency and accuracy of our code with several examples.

Indexed as

four‐center integralsGaussian quadratureGPUSlater orbitalsspherical quadrature

Identifiers

PMID42522741
PMCPMC13417545

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.