On a method of characteristics for solving a hyperbolic equation of second order. - Wolfgang Hackbusch (Computing, 1978)

A numerical method for solving parabolic equations with opposite orientations. - Wolfgang Hackbusch (Computing, 1978)

On the multi-grid method applied to difference equations. - Wolfgang Hackbusch (Computing, 1978)

Multi-grid methods and applications. - Wolfgang Hackbusch (Springer, 1985)

Theorie und Numerik elliptischer Differentialgleichungen. - Wolfgang Hackbusch (Teubner, 1986)

On first and second order box schemes. - Wolfgang Hackbusch (Computing, 1989)

On numerical cubatures of nearly singular surface integrals arising in BEM collocation. - Wolfgang Hackbusch; Stefan A. Sauter (Computing, 1994)

A Note on Reusken's Lemma. - Wolfgang Hackbusch (Computing, 1995)

On the Feedback Vertex Set Problem for a Planar Graph. - Wolfgang Hackbusch (Computing, 1997)

Downwind Gauß-Seidel Smoothing for Convection Dominated Problems. - Wolfgang Hackbusch; Thomas Probst (Numer. Linear Algebra Appl., 1997)

Additive and Multiplicative Multi-Grid - A Comparison. - Peter Bastian; Wolfgang Hackbusch; Gabriel Wittum (Computing, 1998)

Remarks on A Posteriori Error Estimation for Inaccurate Finite Element Solutions. - Wolfgang Hackbusch; J. U. Wappler (Computing, 1998)

A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids. - Dietrich Braess; Maksimillian Dryja; Wolfgang Hackbusch (Computing, 1999)

A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices. - Wolfgang Hackbusch (Computing, 1999)

A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems. - Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2000)

Discrete boundary element methods on general meshes in 3D. - Ivan G. Graham; Wolfgang Hackbusch; Stefan A. Sauter (Numerische Mathematik, 2000)

Hybrid Galerkin boundary elements: theory and implementation. - Ivan G. Graham; Wolfgang Hackbusch; Stefan A. Sauter (Numerische Mathematik, 2000)

The Efficient Computation of Certain Determinants Arising in the Treatment of Schroedinger's Equations. - Wolfgang Hackbusch (Computing, 2001)

ℋ-matrix approximation for elliptic solution operators in cylinder domains. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (J. Num. Math., 2001)

Direct Integration of the Newton Potential over Cubes. - Wolfgang Hackbusch (Computing, 2002)

Data-sparse Approximation by Adaptive H2-Matrices. - Wolfgang Hackbusch; Steffen Börm (Computing, 2002)

Blended kernel approximation in the ℋ-matrix techniques. - Wolfgang Hackbusch; Boris N. Khoromskij (Numer. Linear Algebra Appl., 2002)

ℋ-Matrix approximation for the operator exponential with applications. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Numerische Mathematik, 2002)

Construction and Arithmetics of H-Matrices. - Lars Grasedyck; Wolfgang Hackbusch (Computing, 2003)

Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices. - Lars Grasedyck; Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2003)

Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients. - Mario Bebendorf; Wolfgang Hackbusch (Numerische Mathematik, 2003)

Adaptive Geometrically Balanced Clustering of H-Matrices. - Lars Grasedyck; Wolfgang Hackbusch; Sabine Le Borne (Computing, 2004)

Hierarchical Matrices Based on a Weak Admissibility Criterion. - Wolfgang Hackbusch; Boris N. Khoromskij; Ronald Kriemann (Computing, 2004)

Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. - Wolfgang Dahmen; B. Faermann; Ivan G. Graham; Wolfgang Hackbusch; Stefan A. Sauter (Math. Comput., 2004)

Data-sparse approximation to the operator-valued functions of elliptic operator. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Math. Comput., 2004)

Hierarchical Quadrature for Singular Integrals. - Steffen Börm; Wolfgang Hackbusch (Computing, 2005)

Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2005)

Hierarchical Kronecker tensor-product approximations. - Wolfgang Hackbusch; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (J. Num. Math., 2005)

Data-sparse approximation to a class of operator-valued functions. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Math. Comput., 2005)

Approximation of 1/||x-y|| by Exponentials for Wavelet Applications (Short Communication). - Wolfgang Hackbusch (Computing, 2006)

On the Efficient Evaluation of Coalescence Integrals in Population Balance Models. - Wolfgang Hackbusch (Computing, 2006)

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions. - Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2006)

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators. - Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2006)

Coarsening of Boundary-element Spaces. - Wolfgang Hackbusch; M. Löhndorf; Stefan A. Sauter (Computing, 2006)

H-matrix methods for linear and quasi-linear integral operators appearing in population balances. - Jürgen Koch; Wolfgang Hackbusch; Kai Sundmacher (Comput. Chem. Eng., 2007)

Fast and exact projected convolution for non-equidistant grids. - Wolfgang Hackbusch (Computing, 2007)

A projection method for the computation of inner eigenvalues using high degree rational operators. - Wolfgang Hackbusch; W. Kress (Computing, 2007)

Tensor-product approximation to operators and functions in high dimensions. - Wolfgang Hackbusch; Boris N. Khoromskij (J. Complex., 2007)

Stabilized rounded addition of hierarchical matrices. - Mario Bebendorf; Wolfgang Hackbusch (Numer. Linear Algebra Appl., 2007)

Approximation of coalescence integrals in population balance models with local mass conservation. - Wolfgang Hackbusch (Numerische Mathematik, 2007)

Adaptive Galerkin boundary element methods with panel clustering. - Wolfgang Hackbusch; Boris N. Khoromskij; Stefan A. Sauter (Numerische Mathematik, 2007)

A Multigrid Method to Solve Large Scale Sylvester Equations. - Lars Grasedyck; Wolfgang Hackbusch (SIAM J. Matrix Anal. Appl., 2007)

Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. - Ivan G. Graham; Lars Grasedyck; Wolfgang Hackbusch; Stefan A. Sauter (SIAM J. Numer. Anal., 2007)

Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models. - Carsten H. Wolters; Harald Köstler; Christian Möller; Jochen Härdtlein; Lars Grasedyck; Wolfgang Hackbusch (SIAM J. Sci. Comput., 2007)

H-matrix methods for quadratic integral operators appearing in population balances. - Jürgen Koch; Wolfgang Hackbusch; Kai Sundmacher (Comput. Chem. Eng., 2008)

Numerical method for elliptic multiscale problems. - Isabelle Greff; Wolfgang Hackbusch (J. Num. Math., 2008)

Efficient convolution with the Newton potential in d dimensions. - Wolfgang Hackbusch (Numerische Mathematik, 2008)

Approximate iterations for structured matrices. - Wolfgang Hackbusch; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (Numerische Mathematik, 2008)

Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions. - Wolfgang Hackbusch; Boris N. Khoromskij (SIAM J. Matrix Anal. Appl., 2008)

Efficient multi-scale computation of products of orbitals in electronic structure calculations. - Sambasiva Rao Chinnamsetty; Wolfgang Hackbusch; Heinz-Jürgen Flad (Comput. Vis. Sci., 2010)

On the efficient convolution with the Newton potential. - Wolfgang Hackbusch; Kishore Kumar Naraparaju; Jan Schneider 003 (J. Num. Math., 2010)

An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples. - Lars Grasedyck; Wolfgang Hackbusch (Comput. Methods Appl. Math., 2011)

Optimization problems in contracted tensor networks. - Mike Espig; Wolfgang Hackbusch; Stefan Handschuh; Reinhold Schneider (Comput. Vis. Sci., 2011)

Multigrid solver for the reference interaction site model of molecular liquids theory. - Volodymyr P. Sergiievskyi; Wolfgang Hackbusch; Maxim V. Fedorov (J. Comput. Chem., 2011)

Tensorisation of vectors and their efficient convolution. - Wolfgang Hackbusch (Numerische Mathematik, 2011)

Partial evaluation of the discrete solution of elliptic boundary value problems. - Wolfgang Hackbusch; Florian Drechsler (Comput. Vis. Sci., 2012)

On Minimal Subspaces in Tensor Representations. - Antonio Falcó; Wolfgang Hackbusch (Found. Comput. Math., 2012)

A fast solver for the gyrokinetic field equation with adiabatic electrons. - Matthias Borchardt; Ralf Kleiber; Wolfgang Hackbusch (J. Comput. Phys., 2012)

Use of tensor formats in elliptic eigenvalue problems. - Wolfgang Hackbusch; Boris N. Khoromskij; Stefan A. Sauter; Eugene E. Tyrtyshnikov (Numer. Linear Algebra Appl., 2012)

A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format. - Mike Espig; Wolfgang Hackbusch (Numerische Mathematik, 2012)

Variational calculus with sums of elementary tensors of fixed rank. - Mike Espig; Wolfgang Hackbusch; Thorsten Rohwedder; Reinhold Schneider (Numerische Mathematik, 2012)

L∞ estimation of tensor truncations. - Wolfgang Hackbusch (Numerische Mathematik, 2013)

Numerical tensor calculus. - Wolfgang Hackbusch (Acta Numer., 2014)

Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. - Mike Espig; Wolfgang Hackbusch; Alexander Litvinenko; Hermann G. Matthies; Philipp Wähnert (Comput. Math. Appl., 2014)

Mesh-free canonical tensor products for six-dimensional density matrix: computation of kinetic energy. - Sambasiva Rao Chinnamsetty; Mike Espig; Wolfgang Hackbusch (Comput. Vis. Sci., 2015)

Solution of linear systems in high spatial dimensions. - Wolfgang Hackbusch (Comput. Vis. Sci., 2015)

New estimates for the recursive low-rank truncation of block-structured matrices. - Wolfgang Hackbusch (Numerische Mathematik, 2016)

On the interconnection between the higher-order singular values of real tensors. - Wolfgang Hackbusch; André Uschmajew (Numerische Mathematik, 2017)

Perturbation of Higher-Order Singular Values. - Wolfgang Hackbusch; Daniel Kressner; André Uschmajew (SIAM J. Appl. Algebra Geom., 2017)

Computation of best L∞ exponential sums for 1 / x by Remez' algorithm. - Wolfgang Hackbusch (Comput. Vis. Sci., 2019)

Post-Processing of High-Dimensional Data. - Mike Espig; Wolfgang Hackbusch; Alexander Litvinenko; Hermann G. Matthies; Elmar Zander (CoRR, 2019)

On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces. - Antonio Falcó; Wolfgang Hackbusch; Anthony Nouy (Found. Comput. Math., 2019)

Geometry of tree-based tensor formats in tensor Banach spaces. - Antonio Falcó; Wolfgang Hackbusch; Anthony Nouy (CoRR, 2020)

Iterative algorithms for the post-processing of high-dimensional data. - Mike Espig; Wolfgang Hackbusch; Alexander Litvinenko; Hermann G. Matthies; Elmar Zander (J. Comput. Phys., 2020)