Solution of large eigenvalue problems in electronic structure calculations

Y Saad, A Stathopoulos, J Chelikowsky, K Wu… - BIT Numerical …, 1996 - Springer
Predicting the structural and electronic properties of complex systems is one of the
outstanding problems in condensed matter physics. Central to most methods used in …

[图书][B] First-principles calculations in real-space formalism: electronic configurations and transport properties of nanostructures

K Hirose, T Ono, Y Fujimoto, S Tsukamoto - 2005 - books.google.com
With cutting-edge materials and minute electronic devices being produced by the latest
nanoscale fabrication technology, it is essential for scientists and engineers to rely on first …

Large-scale electronic-structure calculations with multigrid acceleration

EL Briggs, DJ Sullivan, J Bernholc - Physical Review B, 1995 - APS
We have developed a set of techniques for performing large-scale ab initio calculations
using multigrid accelerations and a real-space grid as a basis. The multigrid methods permit …

Alternating Anderson–Richardson method: An efficient alternative to preconditioned Krylov methods for large, sparse linear systems

P Suryanarayana, PP Pratapa, JE Pask - Computer Physics …, 2019 - Elsevier
Abstract We present the Alternating Anderson–Richardson (AAR) method: an efficient and
scalable alternative to preconditioned Krylov solvers for the solution of large, sparse linear …

A quantum chemical approach to the free energy calculations in condensed systems: The QM/MM method combined with the theory of energy representation

H Takahashi, N Matubayasi, M Nakahara… - The Journal of chemical …, 2004 - pubs.aip.org
A methodology has been proposed to compute the solvation free energy of a molecule
described quantum chemically by means of quantum mechanical/molecular mechanical …

[图书][B] Computational nanoscience: Applications for molecules, clusters, and solids

K Varga, JA Driscoll - 2011 - books.google.com
Computer simulation is an indispensable research tool in modeling, understanding and
predicting nanoscale phenomena. However, the advanced computer codes used by …

Structure, stability and electronic properties of zirconium nitride nanoclusters

P Bhagowati, MB Sahariah - Nanotechnology, 2023 - iopscience.iop.org
Zirconium nitride (ZrN) is an industrial material having very high melting point, hardness and
chemical stability. Compared to the bulk ZrN, its nanoclusters (NCs) are rarely explored. In …

Si clusters/defective graphene composites as Li-ion batteries anode materials: a density functional study

M Li, YJ Liu, J Zhao, X Wang - Applied Surface Science, 2015 - Elsevier
Recently, the Si/graphene hybrid composites have attracted considerable attention due to
their potential application for Li-ion batteries. How to effectively anchor Si clusters to …

A spectral scheme for Kohn–Sham density functional theory of clusters

AS Banerjee, RS Elliott, RD James - Journal of Computational Physics, 2015 - Elsevier
Starting from the observation that one of the most successful methods for solving the Kohn–
Sham equations for periodic systems–the plane-wave method–is a spectral method based …

A comparison of Car—Parrinello and Born—Oppenheimer generalized valence bond molecular dynamics

DA Gibson, IV Ionova, EA Carter - Chemical physics letters, 1995 - Elsevier
Two methods for performing ab initio molecular dynamics using a generalized valence bond
electronic wave function are compared: the Car—Parrinello and Born—Oppenheimer …