The Lagrange-mesh method

D Baye - Physics reports, 2015 - Elsevier
The Lagrange-mesh method is an approximate variational method taking the form of
equations on a grid thanks to the use of a Gauss-quadrature approximation. The variational …

Large-scale computations in chemistry: a bird's eye view of a vibrant field

AV Akimov, OV Prezhdo - Chemical reviews, 2015 - ACS Publications
1.1. The Meaning of “Large Scale” In general, the term “large scale” can have one of the
following five meanings in computational chemistry:(1) large size: power-law and …

[HTML][HTML] The ONETEP linear-scaling density functional theory program

JCA Prentice, J Aarons, JC Womack… - The Journal of …, 2020 - pubs.aip.org
We present an overview of the onetep program for linear-scaling density functional theory
(DFT) calculations with large basis set (plane-wave) accuracy on parallel computers. The …

Introducing DDEC6 atomic population analysis: part 4. Efficient parallel computation of net atomic charges, atomic spin moments, bond orders, and more

NG Limas, TA Manz - RSC advances, 2018 - pubs.rsc.org
The DDEC6 method is one of the most accurate and broadly applicable atomic population
analysis methods. It works for a broad range of periodic and non-periodic materials with no …

Introducing ONETEP: Linear-scaling density functional simulations on parallel computers

CK Skylaris, PD Haynes, AA Mostofi… - The Journal of chemical …, 2005 - pubs.aip.org
The equations of quantum mechanics govern the correlated motions of electrons and nuclei
and are thus essential in any theoretical description of the chemical or physical properties of …

Second generation Car–Parrinello molecular dynamics

TD Kühne - Wiley Interdisciplinary Reviews: Computational …, 2014 - Wiley Online Library
Computer simulation methods, such as Monte Carlo or molecular dynamics, are very
powerful theoretical techniques to provide detailed and essentially exact informations on …

Recent progress with large‐scale ab initio calculations: the CONQUEST code

DR Bowler, R Choudhury, MJ Gillan… - physica status solidi …, 2006 - Wiley Online Library
While the success of density functional theory (DFT) has led to its use in a wide variety of
fields such as physics, chemistry, materials science and biochemistry, it has long been …

Convergence analysis of direct minimization and self-consistent iterations

E Cancès, G Kemlin, A Levitt - SIAM Journal on Matrix Analysis and …, 2021 - SIAM
This article is concerned with the numerical solution of subspace optimization problems,
consisting of minimizing a smooth functional over the set of orthogonal projectors of fixed …

Application of numerical basis sets to hydrogen bonded systems: a density functional theory study

NA Benedek, IK Snook, K Latham… - The Journal of chemical …, 2005 - pubs.aip.org
We have investigated and compared the ability of numerical and Gaussian-type basis sets to
accurately describe the geometries and binding energies of a selection of hydrogen bonded …

Linear-scaling density-functional theory with tens of thousands of atoms: Expanding the scope and scale of calculations with ONETEP

NDM Hine, PD Haynes, AA Mostofi, CK Skylaris… - Computer Physics …, 2009 - Elsevier
ONETEP is an ab initio electronic structure package for total energy calculations within
density-functional theory. It combines 'linear scaling', in that the total computational effort …