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51

An asymptotically optimal Schur complement reduction for the Stokes equation

Boris N. Khoromskij, Gabriel Wittum

Journal:

Numerische Mathematik

Year:

1999

Language:

english

File:

PDF, 266 KB

english, 1999

52

$mathcal{H}$-Matrix approximation for the operator exponential with applications

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

Journal:

Numerische Mathematik

Year:

2002

Language:

english

File:

PDF, 263 KB

english, 2002

53

Tensor-Structured Preconditioners and Approximate Inverse of Elliptic Operators in ℝd

Boris N. Khoromskij

Journal:

Constructive Approximation

Year:

2009

Language:

english

File:

PDF, 1.26 MB

english, 2009

54

O(dlog N)-Quantics Approximation ofN-dTensors in High-Dimensional Numerical Modeling

Boris N. Khoromskij

Journal:

Constructive Approximation

Year:

2011

Language:

english

File:

PDF, 847 KB

english, 2011

55

Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices

L. Grasedyck, W. Hackbusch, B. N. Khoromskij

Journal:

Year:

2003

Language:

english

File:

PDF, 730 KB

english, 2003

56

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

57

Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems

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

Journal:

Year:

2005

Language:

english

File:

PDF, 452 KB

english, 2005

58

A structured low-rank wavelet solver for the Ornstein-Zernike integral equation

M. V. Fedorov, H. -J. Flad, G. N. Chuev, L. Grasedyck, B. N. Khoromskij

Journal:

Year:

2007

Language:

english

File:

PDF, 335 KB

english, 2007

59

Application of hierarchical matrices for computing the Karhunen–Loève expansion

B. N. Khoromskij, A. Litvinenko, H. G. Matthies

Journal:

Year:

2009

Language:

english

File:

PDF, 377 KB

english, 2009

60

Finding Exact Solutions to the Bandwidth Minimization Problem

W. Hackbusch, B. N. Khoromskij

Journal:

Year:

1999

Language:

english

File:

PDF, 298 KB

english, 1999

61

Direct Schur complement method by domain decomposition based onH-matrix approximation

Wolfgang Hackbusch, Boris N. Khoromskij, Ronald Kriemann

Journal:

Computing and Visualization in Science

Year:

2005

Language:

english

File:

PDF, 474 KB

english, 2005

62

On tensor approximation of Green iterations for Kohn-Sham equations

Boris N. Khoromskij

Journal:

Computing and Visualization in Science

Year:

2008

Language:

english

File:

PDF, 593 KB

english, 2008

63

Low rank Tucker-type tensor approximation to classical potentials

B. N. Khoromskij, V. Khoromskaia

Journal:

Central European Journal of Mathematics

Year:

2007

Language:

english

File:

PDF, 1.15 MB

english, 2007

64

Fast computations with the harmonic Poincaré–Steklov operators on nested refined meshes

Boris N. Khoromskij, Siegfried Prössdorf

Journal:

Advances in Computational Mathematics

Year:

1998

Language:

english

File:

PDF, 647 KB

english, 1998

65

Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation

Boris N. Khoromskij, Siegfried Prössdorf

Journal:

Advances in Computational Mathematics

Year:

1995

Language:

english

File:

PDF, 1.58 MB

english, 1995

66

Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels

Cristóbal Bertoglio, Boris N. Khoromskij

Journal:

Computer Physics Communications

Year:

2012

Language:

english

File:

PDF, 293 KB

english, 2012

67

A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients

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

Journal:

Linear Algebra and its Applications

Year:

2012

Language:

english

File:

PDF, 1.23 MB

english, 2012

68

Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse

Kazeev, Vladimir A., Khoromskij, Boris N.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 236 KB

english, 2012

69

Fast and accurate 3D tensor calculation of the Fock operator in a general basis

V. Khoromskaia, D. Andrae, B.N. Khoromskij

Journal:

Computer Physics Communications

Year:

2012

Language:

english

File:

PDF, 771 KB

english, 2012

70

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

71

Tensor product approximation with optimal rank in quantum chemistry

Chinnamsetty, Sambasiva Rao, Espig, Mike, Khoromskij, Boris N., Hackbusch, Wolfgang, Flad, Heinz-Jürgen

Journal:

The Journal of Chemical Physics

Year:

2007

Language:

english

File:

PDF, 1.02 MB

english, 2007

72

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

73

Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs

Khoromskij, Boris N., Schwab, Christoph

Journal:

SIAM Journal on Scientific Computing

Year:

2011

Language:

english

File:

PDF, 357 KB

english, 2011

74

Frequency Filtering for Elliptic Interface Problems with Lagrange Multipliers

Khoromskij, B. N., Mazurkevich, G. E., Wittum, G.

Journal:

SIAM Journal on Scientific Computing

Year:

1999

Language:

english

File:

PDF, 573 KB

english, 1999

75

Boundary Concentrated Finite Element Methods

Khoromskij, B. N., Melenk, J. M.

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 408 KB

english, 2003

76

Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays

Khoromskij, B. N., Khoromskaia, V.

Journal:

SIAM Journal on Scientific Computing

Year:

2009

Language:

english

File:

PDF, 763 KB

english, 2009

77

Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions

Hackbusch, Wolfgang, Khoromskij, Boris N.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 293 KB

english, 2008

78

An Efficient Direct Solver for the Boundary Concentrated FEM in 2D

B. N. Khoromskij, J. M. Melenk

Journal:

Year:

2002

Language:

english

File:

PDF, 329 KB

english, 2002

79

A Sparse ℋ-Matrix Arithmetic.

W. Hackbusch, B. N. Khoromskij

Journal:

Year:

2000

Language:

english

File:

PDF, 298 KB

english, 2000

80

Superfast Fourier Transform Using QTT Approximation

Sergey Dolgov, Boris Khoromskij, Dmitry Savostyanov

Journal:

Journal of Fourier Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 1.15 MB

english, 2012

81

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

82

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

83

Hierarchical matrix approximation to Green's function via boundary concentrated FEM

Khoromskij, B. N.

Journal:

Journal of Numerical Mathematics

Year:

2003

Language:

english

File:

PDF, 320 KB

english, 2003

84

Data-sparse elliptic operator inverse based on explicit approximation to the Green function

Khoromskij, B. N.

Journal:

Journal of Numerical Mathematics

Year:

2003

Language:

english

File:

PDF, 235 KB

english, 2003

85

Hierarchical Kronecker tensor-product approximations

Hackbusch, W., Khoromskij, B. N., Tyrtyshnikov, E. E.

Journal:

Journal of Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 259 KB

english, 2005

86

Computation of extreme eigenvalues in higher dimensions using block tensor train format

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

Journal:

Computer Physics Communications

Year:

2014

Language:

english

File:

PDF, 1.02 MB

english, 2014

87

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

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 2.06 MB

english, 2004

88

Møller–Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals

Khoromskaia, V., Khoromskij, B.N.

Journal:

Computer Physics Communications

Year:

2014

Language:

english

File:

PDF, 576 KB

english, 2014

89

Simultaneous state-time approximation of the chemical master equation using tensor product formats

Dolgov, Sergey, Khoromskij, Boris

Journal:

Numerical Linear Algebra with Applications

Year:

2015

Language:

english

File:

PDF, 1.12 MB

english, 2015

90

Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis

Khoromskaia, V., Khoromskij, B. N., Schneider, R.

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 1.86 MB

english, 2013

91

Data-Sparse Approximation to the Operator-Valued Functions of Elliptic Operator

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

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 658 KB

english, 2004

92

Hierarchical Kronecker tensor-product approximations

Hackbusch, W., Khoromskij, B. N., Tyrtyshnikov, E. E.

Journal:

Journal of Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 296 KB

english, 2005

93

Data-sparse elliptic operator inverse based on explicit approximation to the Green function

Khoromskij, B. N.

Journal:

Journal of Numerical Mathematics

Year:

2003

Language:

english

File:

PDF, 319 KB

english, 2003

94

Verification of the cross 3D algorithm on quantum chemistry data

Flad, H.-J., Khoromskij, B. N., Savostyanov, D. V., Tyrtyshnikov, E. E.

Journal:

Russian Journal of Mathematical Modelling

Year:

2008

Language:

english

File:

PDF, 137 KB

english, 2008

95

[Lecture Notes in Computational Science and Engineering] Numerical Solution of Elliptic Differential Equations by Reduction to the Interface Volume 36 || Data-sparse Approximation to the Schur Complement for Laplacian

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 2.09 MB

english, 2004

96

[Lecture Notes in Computational Science and Engineering] Numerical Solution of Elliptic Differential Equations by Reduction to the Interface Volume 36 || Robust Preconditioners for Equations with Jumping Anisotropic Coefficients

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 2.40 MB

english, 2004

97

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

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 2.45 MB

english, 2004

98

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

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 5.26 MB

english, 2004

99

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

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 875 KB

english, 2004

100

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

Khoromskij, Boris N., Wittum, Gabriel

Year:

2004

Language:

english

File:

PDF, 2.63 MB

english, 2004