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 | 2012 | |
|---|---|---|
| j31 |      | 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) |
| j30 | | Venera Khoromskaia, D. Andrae, Boris N. Khoromskij: Fast and accurate 3D tensor calculation of the Fock operator in a general basis. Computer Physics Communications 183(11): 2392-2404 (2012) |
| j29 | | Vladimir A. Kazeev, Boris N. Khoromskij: Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse. SIAM J. Matrix Analysis Applications 33(3): 742-758 (2012) |
| j28 | | S. V. Dolgov, Boris N. Khoromskij, Ivan V. Oseledets: Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker-Planck Equation. SIAM J. Scientific Computing 34(6) (2012) |
| 2011 | ||
| j27 | | Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene Tyrtyshnikov: Preface to the special issue, CMAM 2011, no. 3. Comput. Meth. in Appl. Math. 11(3): 272 (2011) |
| j26 | | Ivan P. Gavrilyuk, Boris N. Khoromskij: Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians. Comput. Meth. in Appl. Math. 11(3): 273-290 (2011) |
| j25 | | Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider: QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations. Comput. Meth. in Appl. Math. 11(3): 327-341 (2011) |
| j24 | | Boris N. Khoromskij, Stefan Sauter, Alexander Veit: Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation. Comput. Meth. in Appl. Math. 11(3): 342-362 (2011) |
| j23 | | Boris N. Khoromskij, Venera 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) |
| j22 | | Boris N. Khoromskij, Christoph Schwab: Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs. SIAM J. Scientific Computing 33(1): 364-385 (2011) |
| 2010 | ||
| j21 | | Boris N. Khoromskij, Ivan V. Oseledets: Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs. Comput. Meth. in Appl. Math. 10(4): 376-394 (2010) |
| j20 | | 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 | ||
| j19 | | 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) |
| j18 | | Boris N. Khoromskij, Venera 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) |
| j17 | | Boris N. Khoromskij, Venera Khoromskaia: Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays. SIAM J. Scientific Computing 31(4): 3002-3026 (2009) |
| 2008 | ||
| j16 | | 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 | ||
| j15 | | 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) |
| j14 | | Wolfgang Hackbusch, Boris N. Khoromskij: Tensor-product approximation to operators and functions in high dimensions. J. Complexity 23(4-6): 697-714 (2007) |
| j13 | | 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 | ||
| j12 | | 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) |
| j11 | | 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 | ||
| j10 | | 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) |
| j9 | | 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 | ||
| j8 | | Wolfgang Hackbusch, Boris N. Khoromskij, R. Kriemann: Hierarchical Matrices Based on a Weak Admissibility Criterion. Computing 73(3): 207-243 (2004) |
| j7 | | 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 | ||
| j6 | | 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) |
| j5 | | Boris N. Khoromskij, Jens Markus Melenk: Boundary Concentrated Finite Element Methods. SIAM J. Numerical Analysis 41(1): 1-36 (2003) |
| 2002 | ||
| j4 | | Boris N. Khoromskij, Jens Markus Melenk: An Efficient Direct Solver for the Boundary Concentrated FEM in 2D. Computing 69(2): 91-117 (2002) |
| 2000 | ||
| j3 | | Wolfgang Hackbusch, Boris N. Khoromskij: A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems. Computing 64(1): 21-47 (2000) |
| 1998 | ||
| j2 | | 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 | ||
| j1 | | 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) |
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