 | 2012 |
| 23 |  | Cristóbal Bertoglio,
Boris N. Khoromskij:
Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels.
Computer Physics Communications 183(4): 904-912 (2012) |
| 2011 |
| 22 |  | Boris N. Khoromskij,
Christoph Schwab:
Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs.
SIAM J. Scientific Computing 33(1): 364-385 (2011) |
| 21 |  | Boris N. Khoromskij,
V. Khoromskaia,
H.-J. Flad:
Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format.
SIAM J. Scientific Computing 33(1): 45-65 (2011) |
| 2010 |
| 20 |  | Boris N. Khoromskij:
Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension.
J. Computational Applied Mathematics 234(11): 3122-3139 (2010) |
| 2009 |
| 19 |  | Boris N. Khoromskij,
Alexander Litvinenko,
Hermann G. Matthies:
Application of hierarchical matrices for computing the Karhunen-Loève expansion.
Computing 84(1-2): 49-67 (2009) |
| 18 |  | Boris N. Khoromskij,
V. Khoromskaia,
S. R. Chinnamsetty,
H.-J. Flad:
Tensor decomposition in electronic structure calculations on 3D Cartesian grids.
J. Comput. Physics 228(16): 5749-5762 (2009) |
| 17 |  | Boris N. Khoromskij,
V. Khoromskaia:
Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays.
SIAM J. Scientific Computing 31(4): 3002-3026 (2009) |
| 2008 |
| 16 |  | Wolfgang Hackbusch,
Boris N. Khoromskij:
Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions.
SIAM J. Matrix Analysis Applications 30(3): 1233-1253 (2008) |
| 2007 |
| 15 |  | Maxim V. Fedorov,
H.-J. Flad,
Gennady N. Chuev,
Lars Grasedyck,
Boris N. Khoromskij:
A structured low-rank wavelet solver for the Ornstein-Zernike integral equation.
Computing 80(1): 47-73 (2007) |
| 14 |  | Wolfgang Hackbusch,
Boris N. Khoromskij:
Tensor-product approximation to operators and functions in high dimensions.
J. Complexity 23(4-6): 697-714 (2007) |
| 13 |  | Boris N. Khoromskij:
Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation.
Math. Comput. 76(259): 1291-1315 (2007) |
| 2006 |
| 12 |  | Wolfgang Hackbusch,
Boris N. Khoromskij:
Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions.
Computing 76(3-4): 177-202 (2006) |
| 11 |  | Wolfgang Hackbusch,
Boris N. Khoromskij:
Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators.
Computing 76(3-4): 203-225 (2006) |
| 2005 |
| 10 |  | Ivan P. Gavrilyuk,
Wolfgang Hackbusch,
Boris N. Khoromskij:
Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems.
Computing 74(2): 131-157 (2005) |
| 9 |  | Ivan P. Gavrilyuk,
Wolfgang Hackbusch,
Boris N. Khoromskij:
Data-sparse approximation to a class of operator-valued functions.
Math. Comput. 74(250): 681-708 (2005) |
| 2004 |
| 8 |  | Wolfgang Hackbusch,
Boris N. Khoromskij,
R. Kriemann:
Hierarchical Matrices Based on a Weak Admissibility Criterion.
Computing 73(3): 207-243 (2004) |
| 7 |  | Ivan P. Gavrilyuk,
Wolfgang Hackbusch,
Boris N. Khoromskij:
Data-sparse approximation to the operator-valued functions of elliptic operator.
Math. Comput. 73(247): 1297-1324 (2004) |
| 2003 |
| 6 |  | Lars Grasedyck,
Wolfgang Hackbusch,
Boris N. Khoromskij:
Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices.
Computing 70(2): 121-165 (2003) |
| 5 |  | Boris N. Khoromskij,
Jens Markus Melenk:
Boundary Concentrated Finite Element Methods.
SIAM J. Numerical Analysis 41(1): 1-36 (2003) |
| 2002 |
| 4 |  | Boris N. Khoromskij,
Jens Markus Melenk:
An Efficient Direct Solver for the Boundary Concentrated FEM in 2D.
Computing 69(2): 91-117 (2002) |
| 2000 |
| 3 |  | Wolfgang Hackbusch,
Boris N. Khoromskij:
A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems.
Computing 64(1): 21-47 (2000) |
| 1998 |
| 2 |  | Boris N. Khoromskij,
Siegfried Prössdorf:
Fast computations with the harmonic Poincaré-Steklov operators on nested refined meshes.
Adv. Comput. Math. 8(1-2): 111-135 (1998) |
| 1995 |
| 1 |  | Boris N. Khoromskij,
Siegfried Prössdorf:
Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation.
Adv. Comput. Math. 4(1): 331-355 (1995) |