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Tensor Numerical Methods in Quantum Chemistry

1st edition., 2018

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Tensor numerical methods in quantum chemistry: from Hartree-Fock to excitation energies

Physical chemistry chemical physics : PCCP, 2015-01, Vol.17 (47), p.31491-3159

2015

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Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing

Frontiers in applied mathematics and statistics, 2022-04, Vol.8

2022

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Range-Separated Tensor Format for Many-Particle Modeling

SIAM journal on scientific computing, 2018-01, Vol.40 (2), p.A1034-A1062

2018

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Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format

SIAM journal on scientific computing, 2021-01, Vol.43 (1), p.A415-A445

2021

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Black-Box Hartree–Fock Solver by Tensor Numerical Methods

Journal of computational methods in applied mathematics, 2014-01, Vol.14 (1), p.89-111

Khoromskaia, Venera

2014

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Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints

Journal of computational physics, 2021-01, Vol.424, p.109865, Article 109865

2021

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Editorial: Tensor numerical methods and their application in scientific computing and data science

Numerical linear algebra with applications, 2023-05, Vol.30 (3), p.n/a

2023

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Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation

Computer physics communications, 2014-12, Vol.185 (12), p.3162-3174

2014

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A reduced basis approach for calculation of the Bethe-Salpeter excitation energies by using low-rank tensor factorisations

Molecular physics, 2016-04, Vol.114 (7-8), p.1148-1161

2016

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Fast iterative solution of the Bethe–Salpeter eigenvalue problem using low-rank and QTT tensor approximation

Journal of computational physics, 2017-04, Vol.334, p.221-239

2017

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Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements

Numerical linear algebra with applications, 2020-05, Vol.27 (3), p.n/a

2020

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Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners

Numerical linear algebra with applications, 2023-05, Vol.30 (3), p.n/a

2023

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Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation

Journal of computational physics, 2019-04, Vol.382, p.221-239

2019

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Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients

Numerical linear algebra with applications, 2022-01, Vol.29 (1), p.n/a

2022

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Fast tensor method for summation of long-range potentials on 3D lattices with defects

Numerical linear algebra with applications, 2016-03, Vol.23 (2), p.249-271

2016

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Tucker Tensor Analysis of Matérn Functions in Spatial Statistics

Journal of computational methods in applied mathematics, 2019-01, Vol.19 (1), p.101-122

2019

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Block Circulant and Toeplitz Structures in the Linearized Hartree–Fock Equation on Finite Lattices: Tensor Approach

Journal of computational methods in applied mathematics, 2017-07, Vol.17 (3), p.431-455

2017

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QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations

Journal of computational methods in applied mathematics, 2011, Vol.11 (3), p.327-341

2011

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Frontmatter

Tensor Numerical Methods in Quantum Chemistry, 2018, p.I-IV

2018

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Introduction

Tensor Numerical Methods in Quantum Chemistry, 2018, p.1-8

2018

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Multiplicative tensor formats in ℝd

Tensor Numerical Methods in Quantum Chemistry, 2018, p.79-86

2018

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Index

Tensor Numerical Methods in Quantum Chemistry, 2018, p.287-290

2018

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Rank-structured grid-based representations of functions in ℝd

Tensor Numerical Methods in Quantum Chemistry, 2018, p.37-78

2018

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Introduction

Tensor Numerical Methods in Quantum Chemistry, 2018

2018

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Tensor Numerical Methods in Quantum Chemistry

Tensor numerical methods in quantum chemistry: from Hartree-Fock to excitation energies

Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing

Range-Separated Tensor Format for Many-Particle Modeling

Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format

Black-Box Hartree–Fock Solver by Tensor Numerical Methods

Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints

Editorial: Tensor numerical methods and their application in scientific computing and data science

Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation

A reduced basis approach for calculation of the Bethe-Salpeter excitation energies by using low-rank tensor factorisations

Fast iterative solution of the Bethe–Salpeter eigenvalue problem using low-rank and QTT tensor approximation

Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements

Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners

Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation

Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients

Fast tensor method for summation of long-range potentials on 3D lattices with defects

Tucker Tensor Analysis of Matérn Functions in Spatial Statistics

Block Circulant and Toeplitz Structures in the Linearized Hartree–Fock Equation on Finite Lattices: Tensor Approach

QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations

Frontmatter

Introduction

Multiplicative tensor formats in ℝd

Index

Rank-structured grid-based representations of functions in ℝd

Introduction

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