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1

Tensor Numerical Methods in Scientific Computing || 4. Superfast computations via quantized tensor approximation

Khoromskij, Boris N.

Year:

2018

File:

PDF, 642 KB

2018

2

Tensor Numerical Methods in Scientific Computing || 5. Tensor approach to multidimensional integrodifferential equations

Khoromskij, Boris N.

Year:

2018

File:

PDF, 8.24 MB

2018

3

Tensor Numerical Methods in Scientific Computing || Index

Khoromskij, Boris N.

Year:

2018

File:

PDF, 78 KB

2018

4

[Lecture Notes in Computational Science and Engineering] Numerical Solution of Elliptic Differential Equations by Reduction to the Interface Volume 36 ||

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 21.97 MB

english, 2004

5

Tensor Numerical Methods: Actual Theory and Recent Applications

Gavrilyuk, Ivan, Khoromskij, Boris N.

Journal:

Computational Methods in Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 526 KB

english, 2018

6

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

Khoromskaia, Venera, Khoromskij, Boris N.

Journal:

Numerical Linear Algebra with Applications

Year:

2016

Language:

english

File:

PDF, 2.32 MB

english, 2016

7

Tensor Numerical Methods in Scientific Computing || Bibliography

Khoromskij, Boris N.

Year:

2018

File:

PDF, 196 KB

2018

8

Tensor Numerical Methods in Scientific Computing || 1. Introduction

Khoromskij, Boris N.

Year:

2018

File:

PDF, 150 KB

2018

9

Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity

Kazeev, Vladimir A., Khoromskij, Boris N., Tyrtyshnikov, Eugene E.

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 345 KB

english, 2013

10

Tensor Numerical Methods in Scientific Computing || 2. Theory on separable approximation of multivariate functions

Khoromskij, Boris N.

Year:

2018

File:

PDF, 2.51 MB

2018

11

Tensor Numerical Methods in Scientific Computing || 3. Multilinear algebra and nonlinear tensor approximation

Khoromskij, Boris N.

Year:

2018

File:

PDF, 951 KB

2018

12

Tensor Numerical Methods in Quantum Chemistry || 8. Multilevel grid-based tensor-structured HF solver

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 585 KB

2018

13

Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format

Dolgov, Sergey, Khoromskij, Boris N., Litvinenko, Alexander, Matthies, Hermann G.

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2015

Language:

english

File:

PDF, 339 KB

english, 2015

14

Tensor Numerical Methods in Quantum Chemistry || 2. Rank-structured formats for multidimensional tensors

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

Language:

english

File:

PDF, 622 KB

english, 2018

15

Tensor Numerical Methods in Quantum Chemistry || 9. Grid-based core Hamiltonian

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 434 KB

2018

16

Tensor decomposition in electronic structure calculations on 3D Cartesian grids

B.N. Khoromskij, V. Khoromskaia, S.R. Chinnamsetty, H.-J. Flad

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 1.48 MB

english, 2009

17

Tensor Numerical Methods in Quantum Chemistry || 13. Density of states for a class of rank-structured matrices

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 640 KB

2018

18

Tensor Numerical Methods in Quantum Chemistry || 10. Tensor factorization of grid-based two-electron integrals

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 425 KB

2018

19

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

Khoromskaia, Venera, Khoromskij, Boris N.

Journal:

Computational Methods in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 1.58 MB

english, 2017

20

Tensor Numerical Methods in Quantum Chemistry || 12. Calculation of excitation energies of molecules

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 616 KB

2018

21

Tensor Numerical Methods in Quantum Chemistry || 14. Tensor-based summation of long-range potentials on finite 3D lattices

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 13.86 MB

2018

22

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

Benner, Peter, Khoromskaia, Venera, Khoromskij, Boris N., Yang, Chao

Journal:

Journal of Computational Physics

Year:

2019

Language:

english

File:

PDF, 1006 KB

english, 2019

23

Tensor Numerical Methods in Quantum Chemistry || 15. Range-separated tensor format for many-particle systems

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 756 KB

2018

24

Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients

Dolgov, Sergey, Khoromskij, Boris, Oseledets, Ivan N., Tyrtyshnikov, Eugene E.

Journal:

Journal of Computational Mathematics

Year:

2012

Language:

english

File:

PDF, 410 KB

english, 2012

25

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

Benner, Peter, Dolgov, Sergey, Khoromskaia, Venera, Khoromskij, Boris N.

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 881 KB

english, 2017

26

[Lecture Notes in Computational Science and Engineering] Numerical Solution of Elliptic Differential Equations by Reduction to the Interface Volume 36 || Discrete Poincaré-Steklov Mappings for Biharmonic and Lamé Equations

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 1.50 MB

english, 2004

27

Superfast Wavelet Transform Using Quantics-TT Approximation. I. Application to Haar Wavelets

Khoromskij, Boris N., Miao, Sentao

Journal:

Computational Methods in Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 746 KB

english, 2014

28

[Lecture Notes in Computational Science and Engineering] Numerical Solution of Elliptic Differential Equations by Reduction to the Interface Volume 36 || Iterative Substructuring Methods

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 1.47 MB

english, 2004

29

Two-Level QTT-Tucker Format for Optimized Tensor Calculus

Dolgov, Sergey, Khoromskij, Boris

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 381 KB

english, 2013

30

Use of tensor formats in elliptic eigenvalue problems

Wolfgang Hackbusch, Boris N. Khoromskij, Stefan Sauter, Eugene E. Tyrtyshnikov

Journal:

Numerical Linear Algebra with Applications

Year:

2012

Language:

english

File:

PDF, 188 KB

english, 2012

31

Robust Schur complement method for strongly anisotropic elliptic equations

Boris N. Khoromskij, Gabriel Wittum

Journal:

Numerical Linear Algebra with Applications

Year:

1999

Language:

english

File:

PDF, 214 KB

english, 1999

32

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

Khoromskaia, Venera, Khoromskij, Boris N.

Journal:

Computer Physics Communications

Year:

2014

Language:

english

File:

PDF, 1.09 MB

english, 2014

33

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

Heidel, Gennadij, Khoromskaia, Venera, Khoromskij, Boris N., Schulz, Volker

Journal:

Journal of Computational Physics

Year:

2021

File:

PDF, 242 KB

2021

34

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions

W. Hackbusch, B. N. Khoromskij

Journal:

Year:

2006

Language:

english

File:

PDF, 310 KB

english, 2006

35

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

Benner, Peter, Khoromskaia, Venera, Khoromskij, Boris N.

Journal:

Molecular Physics

Year:

2016

Language:

english

File:

PDF, 844 KB

english, 2016

36

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators

W. Hackbusch, B. N. Khoromskij

Journal:

Year:

2006

Language:

english

File:

PDF, 213 KB

english, 2006

37

Tensors-structured numerical methods in scientific computing: Survey on recent advances

Boris N. Khoromskij

Journal:

Chemometrics and Intelligent Laboratory Systems

Year:

2012

Language:

english

File:

PDF, 745 KB

english, 2012

38

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

Khoromskaia, Venera, Khoromskij, Boris N.

Journal:

Physical Chemistry Chemical Physics

Year:

2015

Language:

english

File:

PDF, 3.49 MB

english, 2015

39

Tensor Numerical Methods in Quantum Chemistry || 3. Rank-structured grid-based representations of functions in ℝd

Khoromskaia, Venera, Khoromskij, Boris N.

Year:

2018

File:

PDF, 8.45 MB

2018

40

Erratum: Two-Level QTT-Tucker Format for Optimized Tensor Calculus

Etter, Simon, Dolgov, Sergey, Khoromskij, Boris N.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 107 KB

english, 2016

41

Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures

B.N. Khoromskij, G. Wittum

Journal:

Numerische Mathematik

Year:

1996

Language:

english

File:

PDF, 255 KB

english, 1996

42

A fast interface solver for the biharmonic Dirichlet problem on polygonal domains

B.N. Khoromskij, G. Schmidt

Journal:

Numerische Mathematik

Year:

1998

Language:

english

File:

PDF, 212 KB

english, 1998

43

Range-Separated Tensor Format for Many-Particle Modeling

Benner, Peter, Khoromskaia, Venera, Khoromskij, Boris N.

Journal:

SIAM Journal on Scientific Computing

Year:

2018

Language:

english

File:

PDF, 785 KB

english, 2018

44

QTT approximation of elliptic solution operators in higher dimensions

Khoromskij, B. N., Oseledets, I. V.

Journal:

Russian Journal of Mathematical Modelling

Year:

2011

Language:

english

File:

PDF, 176 KB

english, 2011

45

Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs

Khoromskij, B.N., Oseledets, I.

Journal:

Computational Methods in Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 578 KB

english, 2010

46

Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation

Dolgov, S. V., Khoromskij, B. N., Oseledets, I. V.

Journal:

SIAM Journal on Scientific Computing

Year:

2012

Language:

english

File:

PDF, 736 KB

english, 2012

47

Numerical Solution of the Hartree–Fock Equation in Multilevel Tensor-Structured Format

Khoromskij, B. N., Khoromskaia, V., Flad, H.-J.

Journal:

SIAM Journal on Scientific Computing

Year:

2011

Language:

english

File:

PDF, 1.21 MB

english, 2011

48

Data-sparse approximation to the operator-valued functions of elliptic operator

Gavrilyuk, Ivan P., Hackbusch, Wolfgang, Khoromskij, Boris N.

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 401 KB

english, 2003

49

A fast iteration method for solving elliptic problems with quasiperiodic coefficients

Khoromskij, Boris N., Repin, Sergey I.

Journal:

Russian Journal of Mathematical Modelling

Year:

2015

Language:

english

File:

PDF, 876 KB

english, 2015

50

Hierarchical Matrices Based on a Weak Admissibility Criterion

W. Hackbusch, B. N. Khoromskij, R. Kriemann

Journal:

Year:

2004

Language:

english

File:

PDF, 577 KB

english, 2004

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