| Publication | Date of Publication | Type |
|---|
| On tensor approximation of Green iterations for Kohn-Sham equations | 2023-10-23 | Paper |
| Editorial: Tensor numerical methods and their application in scientific computing and data science | 2023-08-17 | Paper |
| Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners | 2023-08-17 | Paper |
| Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients | 2022-04-22 | Paper |
| Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints | 2022-04-14 | Paper |
| Reduced Higher Order SVD: ubiquitous rank-reduction method in tensor-based scientific computing | 2022-01-29 | Paper |
| Book Reviews | 2021-11-05 | Paper |
| Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format | 2021-09-28 | Paper |
| Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems | 2021-07-07 | Paper |
| Tensor numerical method for optimal control problems constrained by an elliptic operator with general rank-structured coefficients | 2021-05-27 | Paper |
| Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format | 2021-04-01 | Paper |
| Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients | 2021-03-01 | Paper |
| Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse | 2021-01-27 | Paper |
| Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation | 2020-12-09 | Paper |
| Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients | 2020-07-10 | Paper |
| Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements | 2020-07-02 | Paper |
| Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients | 2020-06-16 | Paper |
| Low rank tensor methods in Galerkin-based isogeometric analysis | 2020-04-06 | Paper |
| Quantized CP approximation and sparse tensor interpolation of function‐generated data | 2019-12-18 | Paper |
| Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation | 2019-09-11 | Paper |
| Tucker tensor analysis of Matérn functions in spatial statistics | 2019-09-11 | Paper |
| Numerical study in stochastic homogenization for elliptic PDEs: convergence rate in the size of representative volume elements | 2019-03-28 | Paper |
| Computing electrostatic potentials using regularization based on the range-separated tensor format | 2019-01-28 | Paper |
| Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints | 2018-09-06 | Paper |
| Range-Separated Tensor Format for Many-Particle Modeling | 2018-04-25 | Paper |
| Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach | 2018-01-10 | Paper |
| Rank structured approximation method for quasi-periodic elliptic problems | 2018-01-10 | Paper |
| Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation | 2017-12-13 | Paper |
| Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation | 2017-05-05 | Paper |
| Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals | 2016-09-12 | Paper |
| Computation of extreme eigenvalues in higher dimensions using block tensor train format | 2016-09-12 | Paper |
| Erratum: Two-Level QTT-Tucker Format for Optimized Tensor Calculus | 2016-08-04 | Paper |
| Fast tensor method for summation of long‐range potentials on 3D lattices with defects | 2016-07-19 | Paper |
| Tensor numerical methods in scientific computing | 2016-04-05 | Paper |
| Tensor Numerical Methods in Quantum Chemistry | 2016-04-05 | Paper |
| Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications | 2016-02-10 | Paper |
| Efficient computation of highly oscillatory integrals by using QTT tensor approximation | 2016-01-12 | Paper |
| A fast iteration method for solving elliptic problems with quasiperiodic coefficients | 2015-12-17 | Paper |
| Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format | 2015-11-12 | Paper |
| Simultaneous state-time approximation of the chemical master equation using tensor product formats | 2015-09-29 | Paper |
| Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation | 2015-09-15 | Paper |
| A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations | 2015-05-11 | Paper |
| Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States | 2015-04-23 | Paper |
| Superfast wavelet transform using quantics-TT approximation. I: Application to Haar wavelets. | 2014-12-18 | Paper |
| Fast and accurate 3D tensor calculation of the Fock operator in a general basis | 2014-12-17 | Paper |
| Tensor Numerical Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems | 2014-08-17 | Paper |
| Computation of the Response Surface in the Tensor Train data format | 2014-06-11 | Paper |
| Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs | 2014-03-26 | Paper |
| Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians | 2014-03-26 | Paper |
| QTT representation of the Hartree and exchange operators in electronic structure calculations | 2014-03-26 | Paper |
| Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation | 2014-03-26 | Paper |
| Two-Level QTT-Tucker Format for Optimized Tensor Calculus | 2013-09-26 | Paper |
| Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity | 2013-09-11 | Paper |
| Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis | 2013-06-26 | Paper |
| Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels | 2013-04-25 | Paper |
| Use of tensor formats in elliptic eigenvalue problems | 2013-03-21 | Paper |
| Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation | 2013-03-06 | Paper |
| Low-Rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients | 2013-01-24 | Paper |
| Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse | 2013-01-18 | Paper |
| Superfast Fourier transform using QTT approximation | 2012-11-20 | Paper |
| Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices | 2012-06-04 | Paper |
| A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients | 2012-05-14 | Paper |
| Numerical Solution of the Hartree–Fock Equation in Multilevel Tensor-Structured Format | 2011-10-28 | Paper |
| Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs | 2011-10-28 | Paper |
| \(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling | 2011-09-27 | Paper |
| QTT approximation of elliptic solution operators in higher dimensions | 2011-08-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3086662 | 2011-03-30 | Paper |
| Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension | 2010-08-27 | Paper |
| Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays | 2010-08-16 | Paper |
| Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\) | 2010-01-15 | Paper |
| Tensor decomposition in electronic structure calculations on 3D Cartesian grids | 2009-08-19 | Paper |
| Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions | 2009-07-22 | Paper |
| Application of hierarchical matrices for computing the Karhunen-Loève expansion | 2009-04-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3623653 | 2009-04-21 | Paper |
| Verification of the cross 3D algorithm on quantum chemistry data | 2008-10-14 | Paper |
| Approximate iterations for structured matrices | 2008-06-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3500053 | 2008-06-03 | Paper |
| Tensor-product approximation to operators and functions in high dimensions | 2008-01-09 | Paper |
| Low rank Tucker-type tensor approximation to classical potentials | 2007-12-17 | Paper |
| A structured low-rank wavelet solver for the Ornstein-Zernike integral equation | 2007-06-21 | Paper |
| Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation | 2007-05-02 | Paper |
| Adaptive Galerkin boundary element methods with panel clustering | 2007-03-06 | Paper |
| Structured Rank-(r1, . . . , rd) Decomposition of Function-related Tensors in R_D | 2006-07-07 | Paper |
| Direct Schur complement method by domain decomposition based on H-matrix approximation | 2006-05-29 | Paper |
| Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions | 2006-03-02 | Paper |
| Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators | 2006-03-02 | Paper |
| Hierarchical Kronecker tensor-product approximations | 2005-09-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5317846 | 2005-09-21 | Paper |
| Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems | 2005-05-12 | Paper |
| Direct Schur Complement Method by Hierarchical Matrix Techniques | 2005-03-10 | Paper |
| Data-sparse approximation to a class of operator-valued functions | 2005-03-01 | Paper |
| Hierarchical matrices based on a weak admissibility criterion | 2005-02-23 | Paper |
| Data-sparse approximation to the operator-valued functions of elliptic operator | 2004-08-13 | Paper |
| Hierarchical matrix approximation to Green's function via boundary concentrated FEM | 2004-05-27 | Paper |
| Numerical solution of elliptic differential equations by reduction to the interface. | 2004-03-21 | Paper |
| Data-sparse elliptic operator inverse based on explicit approximation to the Green function | 2004-03-08 | Paper |
| \(\mathcal H\)-matrix approximation for the operator exponential with applications | 2002-09-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550100 | 2002-08-28 | Paper |
| Preconditioning for boundary element methods in domain decomposition | 2002-07-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2738340 | 2002-03-24 | Paper |
| Robust Schur complement method for strongly anisotropic elliptic equations | 2001-12-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2752292 | 2001-10-16 | Paper |
| Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains | 2001-07-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4511121 | 2001-05-17 | Paper |
| A sparse \({\mathcal H}\)-matrix arithmetic: General complexity estimates | 2001-02-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4513819 | 2000-11-19 | Paper |
| An asymptotically optimal Schur complement reduction for the Stokes equation | 2000-11-02 | Paper |
| A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems | 2000-10-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4263454 | 2000-01-25 | Paper |
| Frequency Filtering for Elliptic Interface Problems with Lagrange Multipliers | 1999-11-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4246988 | 1999-10-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3837845 | 1999-06-27 | Paper |
| On the Plane Potential Flow Through the Inhomogeneous Porous Line | 1998-11-01 | Paper |
| Fast compuations with the harmonic Poincaré-Steklov operators on nested refined meshes | 1998-05-04 | Paper |
| A fast interface solver for the biharmonic Dirichlet problem on polygonal domains | 1998-02-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2704851 | 1998-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3129075 | 1997-08-04 | Paper |
| Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures | 1997-02-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4882788 | 1996-06-30 | Paper |
| Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation | 1996-06-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4864090 | 1996-01-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4836678 | 1995-06-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4697746 | 1995-05-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4309099 | 1995-03-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2733757 | 1994-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4693799 | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4694041 | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3198858 | 1990-01-01 | Paper |
| Asymptotic error bounds in Galerkin approximation for a certain class of quasipotential equations | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3358186 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3324987 | 1984-01-01 | Paper |
| An integro-difference method of solving the dirichlet problem for Laplace's equation | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3902450 | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3860322 | 1979-01-01 | Paper |
| Numerical solution of eigenvalue problems for nuclear-theory integro-differential equations | 1978-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4125692 | 1977-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4140298 | 1976-01-01 | Paper |
