Wolfgang Hackbusch

Publication Activity (10 Years)

Years Active: 1978-2020
Publications (10 Years): 8

Top Topics

Dimensional Data

Singular Values

Eigendecomposition

Top Venues

Numerische Mathematik

Comput. Vis. Sci.

J. Comput. Phys.

Publications

Antonio Falcó, Wolfgang Hackbusch, Anthony Nouy
Geometry of tree-based tensor formats in tensor Banach spaces. CoRR (2020)
Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Elmar Zander
Iterative algorithms for the post-processing of high-dimensional data. J. Comput. Phys. 410 (2020)
Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Elmar Zander
Post-Processing of High-Dimensional Data. CoRR (2019)
Wolfgang Hackbusch
by Remez' algorithm. Comput. Vis. Sci. 20 (1-2) (2019)
Antonio Falcó, Wolfgang Hackbusch, Anthony Nouy
On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces. Found. Comput. Math. 19 (1) (2019)
Wolfgang Hackbusch, André Uschmajew
On the interconnection between the higher-order singular values of real tensors. Numerische Mathematik 135 (3) (2017)
Wolfgang Hackbusch, Daniel Kressner, André Uschmajew
Perturbation of Higher-Order Singular Values. SIAM J. Appl. Algebra Geom. 1 (1) (2017)
Wolfgang Hackbusch
New estimates for the recursive low-rank truncation of block-structured matrices. Numerische Mathematik 132 (2) (2016)
Sambasiva Rao Chinnamsetty, Mike Espig, Wolfgang Hackbusch
Mesh-free canonical tensor products for six-dimensional density matrix: computation of kinetic energy. Comput. Vis. Sci. 17 (6) (2015)
Wolfgang Hackbusch
Solution of linear systems in high spatial dimensions. Comput. Vis. Sci. 17 (3) (2015)
Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Philipp Wähnert
Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. Comput. Math. Appl. 67 (4) (2014)
Wolfgang Hackbusch
Numerical tensor calculus. Acta Numer. 23 (2014)
Wolfgang Hackbusch
estimation of tensor truncations. Numerische Mathematik 125 (3) (2013)
Matthias Borchardt, Ralf Kleiber, Wolfgang Hackbusch
A fast solver for the gyrokinetic field equation with adiabatic electrons. J. Comput. Phys. 231 (18) (2012)
Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter, Eugene E. Tyrtyshnikov
Use of tensor formats in elliptic eigenvalue problems. Numer. Linear Algebra Appl. 19 (1) (2012)
Mike Espig, Wolfgang Hackbusch
A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format. Numerische Mathematik 122 (3) (2012)
Antonio Falcó, Wolfgang Hackbusch
On Minimal Subspaces in Tensor Representations. Found. Comput. Math. 12 (6) (2012)
Wolfgang Hackbusch, Florian Drechsler
Partial evaluation of the discrete solution of elliptic boundary value problems. Comput. Vis. Sci. 15 (5) (2012)
Mike Espig, Wolfgang Hackbusch, Thorsten Rohwedder, Reinhold Schneider
Variational calculus with sums of elementary tensors of fixed rank. Numerische Mathematik 122 (3) (2012)
Wolfgang Hackbusch
Tensorisation of vectors and their efficient convolution. Numerische Mathematik 119 (3) (2011)
Lars Grasedyck, Wolfgang Hackbusch
An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples. Comput. Methods Appl. Math. 11 (3) (2011)
Volodymyr P. Sergiievskyi, Wolfgang Hackbusch, Maxim V. Fedorov
Multigrid solver for the reference interaction site model of molecular liquids theory. J. Comput. Chem. 32 (9) (2011)
Mike Espig, Wolfgang Hackbusch, Stefan Handschuh, Reinhold Schneider
Optimization problems in contracted tensor networks. Comput. Vis. Sci. 14 (6) (2011)
Wolfgang Hackbusch, Kishore Kumar Naraparaju, Jan Schneider
On the efficient convolution with the Newton potential. J. Num. Math. 18 (4) (2010)
Sambasiva Rao Chinnamsetty, Wolfgang Hackbusch, Heinz-Jürgen Flad
Efficient multi-scale computation of products of orbitals in electronic structure calculations. Comput. Vis. Sci. 13 (8) (2010)
Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
Approximate iterations for structured matrices. Numerische Mathematik 109 (3) (2008)
Wolfgang Hackbusch
dimensions. Numerische Mathematik 110 (4) (2008)
Wolfgang Hackbusch, Boris N. Khoromskij
Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions. SIAM J. Matrix Anal. Appl. 30 (3) (2008)
Isabelle Greff, Wolfgang Hackbusch
Numerical method for elliptic multiscale problems. J. Num. Math. 16 (2) (2008)
Jürgen Koch, Wolfgang Hackbusch, Kai Sundmacher
H-matrix methods for quadratic integral operators appearing in population balances. Comput. Chem. Eng. 32 (8) (2008)
Lars Grasedyck, Wolfgang Hackbusch
A Multigrid Method to Solve Large Scale Sylvester Equations. SIAM J. Matrix Anal. Appl. 29 (3) (2007)
Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter
Adaptive Galerkin boundary element methods with panel clustering. Numerische Mathematik 105 (4) (2007)
Wolfgang Hackbusch, Boris N. Khoromskij
Tensor-product approximation to operators and functions in high dimensions. J. Complex. 23 (4-6) (2007)
Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, Stefan A. Sauter
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. SIAM J. Numer. Anal. 46 (1) (2007)
Wolfgang Hackbusch
Fast and exact projected convolution for non-equidistant grids. Computing 80 (2) (2007)
Mario Bebendorf, Wolfgang Hackbusch
Stabilized rounded addition of hierarchical matrices. Numer. Linear Algebra Appl. 14 (5) (2007)
Jürgen Koch, Wolfgang Hackbusch, Kai Sundmacher
H-matrix methods for linear and quasi-linear integral operators appearing in population balances. Comput. Chem. Eng. 31 (7) (2007)
Wolfgang Hackbusch, W. Kress
A projection method for the computation of inner eigenvalues using high degree rational operators. Computing 81 (4) (2007)
Carsten H. Wolters, Harald Köstler, Christian Möller, Jochen Härdtlein, Lars Grasedyck, Wolfgang Hackbusch
Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models. SIAM J. Sci. Comput. 30 (1) (2007)
Wolfgang Hackbusch
Approximation of coalescence integrals in population balance models with local mass conservation. Numerische Mathematik 106 (4) (2007)
Wolfgang Hackbusch, M. Löhndorf, Stefan A. Sauter
Coarsening of Boundary-element Spaces. Computing 77 (3) (2006)
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) (2006)
Wolfgang Hackbusch
On the Efficient Evaluation of Coalescence Integrals in Population Balance Models. Computing 78 (2) (2006)
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) (2006)
Wolfgang Hackbusch
|| by Exponentials for Wavelet Applications (Short Communication). Computing 76 (3-4) (2006)
Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
Hierarchical Kronecker tensor-product approximations. J. Num. Math. 13 (2) (2005)
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) (2005)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
Data-sparse approximation to a class of operator-valued functions. Math. Comput. 74 (250) (2005)
Steffen Börm, Wolfgang Hackbusch
Hierarchical Quadrature for Singular Integrals. Computing 74 (2) (2005)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
Data-sparse approximation to the operator-valued functions of elliptic operator. Math. Comput. 73 (247) (2004)
Lars Grasedyck, Wolfgang Hackbusch, Sabine Le Borne
Adaptive Geometrically Balanced Clustering of H-Matrices. Computing 73 (1) (2004)
Wolfgang Hackbusch, Boris N. Khoromskij, Ronald Kriemann
Hierarchical Matrices Based on a Weak Admissibility Criterion. Computing 73 (3) (2004)
Wolfgang Dahmen, B. Faermann, Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Math. Comput. 73 (247) (2004)
Mario Bebendorf, Wolfgang Hackbusch
-coefficients. Numerische Mathematik 95 (1) (2003)
Lars Grasedyck, Wolfgang Hackbusch, Boris N. Khoromskij
Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices. Computing 70 (2) (2003)
Lars Grasedyck, Wolfgang Hackbusch
Construction and Arithmetics of H-Matrices. Computing 70 (4) (2003)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
ℋ-Matrix approximation for the operator exponential with applications. Numerische Mathematik 92 (1) (2002)
Wolfgang Hackbusch
Direct Integration of the Newton Potential over Cubes. Computing 68 (3) (2002)
Wolfgang Hackbusch, Steffen Börm
-Matrices. Computing 69 (1) (2002)
Wolfgang Hackbusch, Boris N. Khoromskij
Blended kernel approximation in the ℋ-matrix techniques. Numer. Linear Algebra Appl. 9 (4) (2002)
Wolfgang Hackbusch
The Efficient Computation of Certain Determinants Arising in the Treatment of Schroedinger's Equations. Computing 67 (1) (2001)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
ℋ-matrix approximation for elliptic solution operators in cylinder domains. J. Num. Math. 9 (1) (2001)
Wolfgang Hackbusch, Boris N. Khoromskij
A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems. Computing 64 (1) (2000)
Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Discrete boundary element methods on general meshes in 3D. Numerische Mathematik 86 (1) (2000)
Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik 86 (1) (2000)
Wolfgang Hackbusch
A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices. Computing 62 (2) (1999)
Dietrich Braess, Maksimillian Dryja, Wolfgang Hackbusch
A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids. Computing 63 (1) (1999)
Peter Bastian, Wolfgang Hackbusch, Gabriel Wittum
Additive and Multiplicative Multi-Grid - A Comparison. Computing 60 (4) (1998)
Wolfgang Hackbusch, J. U. Wappler
Remarks on A Posteriori Error Estimation for Inaccurate Finite Element Solutions. Computing 60 (2) (1998)
Wolfgang Hackbusch, Thomas Probst
Downwind Gauß-Seidel Smoothing for Convection Dominated Problems. Numer. Linear Algebra Appl. 4 (2) (1997)
Wolfgang Hackbusch
On the Feedback Vertex Set Problem for a Planar Graph. Computing 58 (2) (1997)
Wolfgang Hackbusch
A Note on Reusken's Lemma. Computing 55 (2) (1995)
Wolfgang Hackbusch, Stefan A. Sauter
On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Computing 52 (2) (1994)
Wolfgang Hackbusch
On first and second order box schemes. Computing 41 (4) (1989)
Wolfgang Hackbusch
On a method of characteristics for solving a hyperbolic equation of second order. Computing 20 (1) (1978)
Wolfgang Hackbusch
On the multi-grid method applied to difference equations. Computing 20 (4) (1978)
Wolfgang Hackbusch
A numerical method for solving parabolic equations with opposite orientations. Computing 20 (3) (1978)