activity
20162026
most citedThree- and four-electron integrals involving Gaussian geminals: fundamental integrals, upper bounds and recurrence relations

31 citations · 59 across the 8 of their papers we have counts for

collaborators

8 papers

cs.DC2026★ 3 cited

A Machine Learning Approach Towards Runtime Optimisation of Matrix Multiplication

Yufan Xia, Marco De La Pierre, Amanda S. Barnard +1

The GEneral Matrix Multiplication (GEMM) is one of the essential algorithms in scientific computing. Single-thread GEMM implementations are well-optimised with techniques like bloc…

physics.chem-ph2024★ 3 cited

Breaking the Million-Electron and 1 EFLOP/s Barriers: Biomolecular-Scale Ab Initio Molecular Dynamics Using MP2 Potentials

Ryan Stocks, Jorge L. Galvez Vallejo, Fiona C. Y. Yu +5

The accurate simulation of complex biochemical phenomena has historically been hampered by the computational requirements of high-fidelity molecular-modeling techniques. Quantum me…

physics.comp-ph2024★ 1 cited

Advanced Techniques for High-Performance Fock Matrix Construction on GPU Clusters

Elise Palethorpe, Ryan Stocks, Giuseppe M. J. Barca

This Article presents two optimized multi-GPU algorithms for Fock matrix construction, building on the work of Ufimtsev et al. and Barca et al. The novel algorithms, opt-UM and opt…

physics.comp-ph2024★ 1 cited

Multi-GPU RI-HF Energies and Analytic Gradients Towards High Throughput Ab Initio Molecular Dynamics

Ryan Stocks, Elise Palethorpe, Giuseppe M. J. Barca

This article presents an optimized algorithm and implementation for calculating resolution-of-the-identity Hartree-Fock (RI-HF) energies and analytic gradients using multiple Graph…

cs.DC2024★ 1 cited

Machine-Learning-Driven Runtime Optimization of BLAS Level 3 on Modern Multi-Core Systems

Yufan Xia, Giuseppe Maria Junior Barca

BLAS Level 3 operations are essential for scientific computing, but finding the optimal number of threads for multi-threaded implementations on modern multi-core systems is challen…

physics.chem-ph2017★ 31 cited

Three- and four-electron integrals involving Gaussian geminals: fundamental integrals, upper bounds and recurrence relations

Giuseppe M. J. Barca, Pierre-François Loos

We report the three main ingredients to calculate three- and four-electron integrals over Gaussian basis functions involving Gaussian geminal operators: fundamental integrals, uppe…

physics.chem-ph2017★ 4 cited

Recurrence relations for four-electron integrals over Gaussian basis functions

Giuseppe M. J. Barca, Pierre-François Loos

In the spirit of the Head-Gordon-Pople algorithm, we report vertical, transfer and horizontal recurrence relations for the efficient and accurate computation of four-electron integ…

physics.chem-ph2016★ 15 cited

Many-electron integrals over gaussian basis functions. I. Recurrence relations for three-electron integrals

Giuseppe M. J. Barca, Pierre-François Loos, Peter M. W. Gill

Explicitly-correlated F12 methods are becoming the first choice for high-accuracy molecular orbital calculations, and can often achieve chemical accuracy with relatively small gaus…