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Title: The divide-expand-consolidate coupled cluster scheme: Divide-expand-consolidate coupled cluster

Journal Article · · Wiley Interdisciplinary Reviews: Computational Molecular Science
DOI:https://doi.org/10.1002/wcms.1319· OSTI ID:1565637

The Divide-Expand-Consolidate (DEC) scheme is a linear-scaling and massively parallel framework for high accuracy coupled cluster (CC) calculations on large molecular systems. It is designed as a black-box method, which ensures error control in the correlation energy and molecular properties. DEC is combined with a massively parallel implementation to fully utilize modern many core architectures providing a fast time to solution. The implementation ensures performance portability and will straightforwardly benefit from new hardware developments. The DEC scheme has been applied to several levels of CC theory and extended the range of application of those methods.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
AC05-00OR22725
OSTI ID:
1565637
Journal Information:
Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 7, Issue 6; ISSN 1759-0876
Publisher:
Wiley
Country of Publication:
United States
Language:
English

References (116)

Geminal-spanning orbitals make explicitly correlated reduced-scaling coupled-cluster methods robust, yet simple journal August 2014
Maximum locality in occupied and virtual orbital spaces using a least-change strategy journal September 2009
Combined Fragmentation Method: A Simple Method for Fragmentation of Large Molecules journal January 2012
An efficient local coupled cluster method for accurate thermochemistry of large systems journal October 2011
Non-iterative local second order Møller–Plesset theory journal January 1998
Analytical energy gradients for local second-order Mo/ller–Plesset perturbation theory journal April 1998
MP2 energy and density for large molecular systems with internal error control using the Divide-Expand-Consolidate scheme journal January 2012
Fragment molecular orbital method: an approximate computational method for large molecules journal November 1999
Electrostatic Potential of Insulin: Exploring the Limitations of Density Functional Theory and Force Field Methods journal August 2013
Sparse maps—A systematic infrastructure for reduced-scaling electronic structure methods. I. An efficient and simple linear scaling local MP2 method that uses an intermediate basis of pair natural orbitals journal July 2015
Sparse maps—A systematic infrastructure for reduced-scaling electronic structure methods. II. Linear scaling domain based pair natural orbital coupled cluster theory journal January 2016
Explicitly correlated PNO-MP2 and PNO-CCSD and their application to the S66 set and large molecular systems journal January 2014
The GPU-enabled divide-expand-consolidate RI-MP2 method (DEC-RI-MP2) journal December 2016
Configuration‐Interaction Calculation of H 3 and H 2 journal February 1965
Tensor factorizations of local second-order Møller–Plesset theory journal January 2011
Explicitly correlated second-order Møller-Plesset perturbation theory in a Divide-Expand-Consolidate (DEC) context journal May 2016
Global arrays: A nonuniform memory access programming model for high-performance computers journal January 1996
Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations journal September 2009
Combined Fragment Molecular Orbital Cluster in Molecule Approach to Massively Parallel Electron Correlation Calculations for Large Systems. journal April 2015
Orbital localization using fourth central moment minimization journal December 2012
Massively parallel and linear-scaling algorithm for second-order Møller–Plesset perturbation theory applied to the study of supramolecular wires journal March 2017
Møller-Plesset perturbation theory: from small molecule methods to methods for thousands of atoms: Møller-Plesset perturbation theory journal May 2011
Improved Cluster-in-Molecule Local Correlation Approach for Electron Correlation Calculation of Large Systems journal June 2014
Explicitly correlated second-order perturbation theory using density fitting and local approximations journal February 2006
Local explicitly correlated coupled-cluster methods: Efficient removal of the basis set incompleteness and domain errors journal June 2009
An efficient density-functional-theory force evaluation for large molecular systems journal July 2010
Large scale FMO-MP2 calculations on a massively parallel-vector computer journal May 2008
Chemical applications carried out by local pair natural orbital based coupled-cluster methods journal January 2014
Localizability of dynamic electron correlation journal September 1983
Improved Design of Orbital Domains within the Cluster-in-Molecule Local Correlation Framework: Single-Environment Cluster-in-Molecule Ansatz and Its Application to Local Coupled-Cluster Approach with Singles and Doubles journal August 2010
A general-order local coupled-cluster method based on the cluster-in-molecule approach journal September 2011
First UHF Implementation of the Incremental Scheme for Open-Shell Systems journal December 2015
An explicitly correlated local coupled cluster method for calculations of large molecules close to the basis set limit journal October 2011
Generalized Energy-Based Fragmentation Approach for Computing the Ground-State Energies and Properties of Large Molecules journal March 2007
Massively Parallel Implementation of Explicitly Correlated Coupled-Cluster Singles and Doubles Using TiledArray Framework journal December 2016
Characterization and Generation of Local Occupied and Virtual Hartree–Fock Orbitals journal February 2016
On the use of the Laplace transform in local correlation methods journal January 2008
Eliminating the domain error in local explicitly correlated second-order Møller–Plesset perturbation theory journal September 2008
Linear-Scaling Coupled Cluster with Perturbative Triple Excitations: The Divide–Expand–Consolidate CCSD(T) Model journal June 2015
A density‐matrix divide‐and‐conquer approach for electronic structure calculations of large molecules journal October 1995
Molecular fractionation with conjugate caps for full quantum mechanical calculation of protein–molecule interaction energy journal August 2003
Low-order scaling local electron correlation methods. III. Linear scaling local perturbative triples correction ( T ) journal December 2000
A Locality Analysis of the Divide–Expand–Consolidate Coupled Cluster Amplitude Equations journal May 2011
A New Algorithm for Molecular Fragmentation in Quantum Chemical Calculations journal July 2006
The divide-expand-consolidate family of coupled cluster methods: Numerical illustrations using second order Møller-Plesset perturbation theory journal January 2012
A massively parallel tensor contraction framework for coupled-cluster computations journal December 2014
Multipole approximation of distant pair energies in local MP2 calculations journal June 1998
Correlation energy of diamond journal September 1992
An efficient and near linear scaling pair natural orbital based local coupled cluster method journal January 2013
The Laplace transformed divide-expand-consolidate resolution of the identity second-order Møller-Plesset perturbation (DEC-LT-RIMP2) theory method journal January 2017
A near linear-scaling smooth local coupled cluster algorithm for electronic structure journal August 2006
Efficient and accurate local approximations to coupled-electron pair approaches: An attempt to revive the pair natural orbital method journal March 2009
A perspective on the localizability of Hartree–Fock orbitals journal November 2013
The orbital-specific-virtual local coupled cluster singles and doubles method journal April 2012
Fully Automated Incremental Evaluation of MP2 and CCSD(T) Energies: Application to Water Clusters journal January 2009
The divide–expand–consolidate MP2 scheme goes massively parallel journal April 2013
Low-order scaling local electron correlation methods. I. Linear scaling local MP2 journal October 1999
A fragment energy assembler method for Hartree-Fock calculations of large molecules journal April 2006
Accuracy of Protein Embedding Potentials: An Analysis in Terms of Electrostatic Potentials journal March 2015
Many – Body Methods in Chemistry and Physics book January 2009
Mechanism of Olefin Asymmetric Hydrogenation Catalyzed by Iridium Phosphino-Oxazoline: A Pair Natural Orbital Coupled Cluster Study journal February 2014
Is It Possible To Obtain Coupled Cluster Quality Energies at near Density Functional Theory Cost? Domain-Based Local Pair Natural Orbital Coupled Cluster vs Modern Density Functional Theory journal August 2015
Massively parallel algorithm and implementation of RI-MP2 energy calculation for peta-scale many-core supercomputers journal September 2016
Analytical energy gradients for local second-order Møller–Plesset perturbation theory using density fitting approximations journal July 2004
Orbital spaces in the divide-expand-consolidate coupled cluster method journal April 2016
Fast linear scaling second-order Møller-Plesset perturbation theory (MP2) using local and density fitting approximations journal May 2003
A scaling PNO–MP2 method using a hybrid OSV–PNO approach with an iterative direct generation of OSVs journal September 2013
The generalized molecular fractionation with conjugate caps/molecular mechanics method for direct calculation of protein energy journal May 2006
The Dalton quantum chemistry program system: The Dalton program
  • Aidas, Kestutis; Angeli, Celestino; Bak, Keld L.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 3 https://doi.org/10.1002/wcms.1172
journal September 2013
Molecular gradient for second-order Møller-Plesset perturbation theory using the divide-expand-consolidate (DEC) scheme journal September 2012
A fifth-order perturbation comparison of electron correlation theories journal May 1989
Comparison of explicitly correlated local coupled-cluster methods with various choices of virtual orbitals journal January 2012
Trust Region Minimization of Orbital Localization Functions journal August 2012
Application of the many-body perturbation theory by using localized orbitals: MBPT USING LOCALIZED ORBITALS journal March 1983
Accuracy of DLPNO–CCSD(T) Method for Noncovalent Bond Dissociation Enthalpies from Coinage Metal Cation Complexes journal September 2015
An Integral-Direct Linear-Scaling Second-Order Møller–Plesset Approach journal September 2016
The PNO–MP2 gradient and its application to molecular geometry optimisations journal December 2016
Extension of linear-scaling divide-and-conquer-based correlation method to coupled cluster theory with singles and doubles excitations journal July 2008
Linear scaling coupled cluster method with correlation energy based error control journal July 2010
Linear scaling local correlation approach for solving the coupled cluster equations of large systems journal December 2001
Approximate ab initio energies by systematic molecular fragmentation journal April 2005
MPI/OpenMP Hybrid Parallel Algorithm of Resolution of Identity Second-Order Møller–Plesset Perturbation Calculation for Massively Parallel Multicore Supercomputers journal November 2013
Efficient linear-scaling second-order Møller-Plesset perturbation theory: The divide–expand–consolidate RI-MP2 model journal February 2016
Multilevel Extension of the Cluster-in-Molecule Local Correlation Methodology: Merging Coupled-Cluster and Møller−Plesset Perturbation Theories journal June 2010
Fully automated implementation of the incremental scheme: Application to CCSD energies for hydrocarbons and transition metal compounds journal April 2007
Incremental CCSD(T)(F12*)|MP2: A Black Box Method To Obtain Highly Accurate Reaction Energies journal November 2013
Perturbative triples correction for local pair natural orbital based explicitly correlated CCSD(F12*) using Laplace transformation techniques journal December 2016
Local explicitly correlated second-order Møller–Plesset perturbation theory with pair natural orbitals journal August 2011
Alternative linear-scaling methodology for the second-order Møller-Plesset perturbation calculation based on the divide-and-conquer method journal August 2007
Cluster-in-molecule local correlation method for post-Hartree–Fock calculations of large systems journal February 2016
A natural linear scaling coupled-cluster method journal January 2004
Efficient and accurate approximations to the local coupled cluster singles doubles method using a truncated pair natural orbital basis journal January 2009
Scalable Electron Correlation Methods I.: PNO-LMP2 with Linear Scaling in the Molecular Size and Near-Inverse-Linear Scaling in the Number of Processors journal January 2015
Low-order scaling local electron correlation methods. IV. Linear scaling local coupled-cluster (LCCSD) journal January 2001
A refined cluster-in-molecule local correlation approach for predicting the relative energies of large systems journal January 2012
Local explicitly correlated second-order perturbation theory for the accurate treatment of large molecules journal February 2009
Direct calculation of electron density in density-functional theory journal March 1991
A fast intrinsic localization procedure applicable for a b i n i t i o and semiempirical linear combination of atomic orbital wave functions journal May 1989
Direct calculation of electron density in density-functional theory: Implementation for benzene and a tetrapeptide journal December 1991
Automated incremental scheme for explicitly correlated methods journal April 2010
Local orbitals by minimizing powers of the orbital variance journal May 2011
The molecular gradient using the divide-expand-consolidate resolution of the identity second-order Møller-Plesset perturbation theory: The DEC-RI-MP2 gradient journal July 2016
Local Treatment of Electron Correlation journal October 1993
Pseudospectral localized Mo/ller–Plesset methods: Theory and calculation of conformational energies journal July 1995
Local treatment of electron correlation in coupled cluster theory journal April 1996
Scalable Electron Correlation Methods. 2. Parallel PNO-LMP2-F12 with Near Linear Scaling in the Molecular Size journal October 2015
Orbital-invariant formulation and second-order gradient evaluation in M�ller-Plesset perturbation theory journal June 1986
An efficient implementation of the “cluster-in-molecule” approach for local electron correlation calculations journal August 2006
An efficient linear-scaling CCSD(T) method based on local natural orbitals journal September 2013
Construction of Some Molecular Orbitals to Be Approximately Invariant for Changes from One Molecule to Another journal April 1960
Efficient Structure Optimization with Second-Order Many-Body Perturbation Theory: The RIJCOSX-MP2 Method journal July 2010
Local correlation calculations using standard and renormalized coupled-cluster approaches journal September 2009
Liquid water: obtaining the right answer for the right reasons
  • Aprà, Edoardo; Rendell, Alistair P.; Harrison, Robert J.
  • Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis - SC '09 https://doi.org/10.1145/1654059.1654127
conference January 2009
An infrastructure for scalable and portable parallel programs for computational chemistry conference January 2009
Molecular tailoring approach in conjunction with MP2 and Ri-MP2 codes: A comparison with fragment molecular orbital method journal January 2010
Molecular Electronic-Structure Theory book August 2000

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