Wolfgang Hackbusch

80 papers Journal 78

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	On the approximation of Stieltjes functions by exponential sums and rational functions with applications to partial differential equations. Numerische Mathematik Dietrich Braess, Wolfgang Hackbusch
2020	J	`jnl`	Geometry of tree-based tensor formats in tensor Banach spaces. CoRR Antonio Falcó, Wolfgang Hackbusch, Anthony Nouy
2020	J	`jnl`	Iterative algorithms for the post-processing of high-dimensional data. J. Comput. Phys. Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Elmar Zander
2019	J	`jnl`	Computation of best L Comput. Vis. Sci. Wolfgang Hackbusch
2019	J	`jnl`	On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces. Found. Comput. Math. Antonio Falcó, Wolfgang Hackbusch, Anthony Nouy
2019	J	`jnl`	Post-Processing of High-Dimensional Data. CoRR Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Elmar Zander
2017	J	`jnl`	On the interconnection between the higher-order singular values of real tensors. Numerische Mathematik Wolfgang Hackbusch, André Uschmajew
2017	J	`jnl`	Perturbation of Higher-Order Singular Values. SIAM J. Appl. Algebra Geom. Wolfgang Hackbusch, Daniel Kressner, André Uschmajew
2016	J	`jnl`	New estimates for the recursive low-rank truncation of block-structured matrices. Numerische Mathematik Wolfgang Hackbusch
2015	J	`jnl`	Mesh-free canonical tensor products for six-dimensional density matrix: computation of kinetic energy. Comput. Vis. Sci. Sambasiva Rao Chinnamsetty, Mike Espig, Wolfgang Hackbusch
2015	J	`jnl`	Solution of linear systems in high spatial dimensions. Comput. Vis. Sci. Wolfgang Hackbusch
2014	J	`jnl`	Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. Comput. Math. Appl. Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Philipp Wähnert
2014	J	`jnl`	Numerical tensor calculus. Acta Numer. Wolfgang Hackbusch
2013	J	`jnl`	L Numerische Mathematik Wolfgang Hackbusch
2012	J	`jnl`	A fast solver for the gyrokinetic field equation with adiabatic electrons. J. Comput. Phys. Matthias Borchardt, Ralf Kleiber, Wolfgang Hackbusch
2012	J	`jnl`	A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format. Numerische Mathematik Mike Espig, Wolfgang Hackbusch
2012	J	`jnl`	On Minimal Subspaces in Tensor Representations. Found. Comput. Math. Antonio Falcó, Wolfgang Hackbusch
2012	J	`jnl`	Partial evaluation of the discrete solution of elliptic boundary value problems. Comput. Vis. Sci. Wolfgang Hackbusch, Florian Drechsler
2012	J	`jnl`	Use of tensor formats in elliptic eigenvalue problems. Numer. Linear Algebra Appl. Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter, Eugene E. Tyrtyshnikov
2012	J	`jnl`	Variational calculus with sums of elementary tensors of fixed rank. Numerische Mathematik Mike Espig, Wolfgang Hackbusch, Thorsten Rohwedder, Reinhold Schneider
2011	J	`jnl`	An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples. Comput. Methods Appl. Math. Lars Grasedyck, Wolfgang Hackbusch
2011	J	`jnl`	Multigrid solver for the reference interaction site model of molecular liquids theory. J. Comput. Chem. Volodymyr P. Sergiievskyi, Wolfgang Hackbusch, Maxim V. Fedorov
2011	J	`jnl`	Optimization problems in contracted tensor networks. Comput. Vis. Sci. Mike Espig, Wolfgang Hackbusch, Stefan Handschuh, Reinhold Schneider
2011	J	`jnl`	Tensorisation of vectors and their efficient convolution. Numerische Mathematik Wolfgang Hackbusch
2010	J	`jnl`	Efficient multi-scale computation of products of orbitals in electronic structure calculations. Comput. Vis. Sci. Sambasiva Rao Chinnamsetty, Wolfgang Hackbusch, Heinz-Jürgen Flad
2010	J	`jnl`	On the efficient convolution with the Newton potential. J. Num. Math. Wolfgang Hackbusch, Kishore Kumar Naraparaju, Jan Schneider
2008	J	`jnl`	Approximate iterations for structured matrices. Numerische Mathematik Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2008	J	`jnl`	Efficient convolution with the Newton potential in Numerische Mathematik Wolfgang Hackbusch
2008	J	`jnl`	H-matrix methods for quadratic integral operators appearing in population balances. Comput. Chem. Eng. Jürgen Koch, Wolfgang Hackbusch, Kai Sundmacher
2008	J	`jnl`	Numerical method for elliptic multiscale problems. J. Num. Math. Isabelle Greff, Wolfgang Hackbusch
2008	J	`jnl`	Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions. SIAM J. Matrix Anal. Appl. Wolfgang Hackbusch, Boris N. Khoromskij
2007	J	`jnl`	A Multigrid Method to Solve Large Scale Sylvester Equations. SIAM J. Matrix Anal. Appl. Lars Grasedyck, Wolfgang Hackbusch
2007	J	`jnl`	A projection method for the computation of inner eigenvalues using high degree rational operators. Computing Wolfgang Hackbusch, W. Kress
2007	J	`jnl`	Adaptive Galerkin boundary element methods with panel clustering. Numerische Mathematik Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter
2007	J	`jnl`	Approximation of coalescence integrals in population balance models with local mass conservation. Numerische Mathematik Wolfgang Hackbusch
2007	J	`jnl`	Fast and exact projected convolution for non-equidistant grids. Computing Wolfgang Hackbusch
2007	J	`jnl`	H-matrix methods for linear and quasi-linear integral operators appearing in population balances. Comput. Chem. Eng. Jürgen Koch, Wolfgang Hackbusch, Kai Sundmacher
2007	J	`jnl`	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. Carsten H. Wolters, Harald Köstler, Christian Möller, Jochen Härdtlein, Lars Grasedyck, Wolfgang Hackbusch
2007	J	`jnl`	Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. SIAM J. Numer. Anal. Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, Stefan A. Sauter
2007	J	`jnl`	Stabilized rounded addition of hierarchical matrices. Numer. Linear Algebra Appl. Mario Bebendorf, Wolfgang Hackbusch
2007	J	`jnl`	Tensor-product approximation to operators and functions in high dimensions. J. Complex. Wolfgang Hackbusch, Boris N. Khoromskij
2006	J	`jnl`	Approximation of 1/\|\| Computing Wolfgang Hackbusch
2006	J	`jnl`	Coarsening of Boundary-element Spaces. Computing Wolfgang Hackbusch, M. Löhndorf, Stefan A. Sauter
2006	J	`jnl`	Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions. Computing Wolfgang Hackbusch, Boris N. Khoromskij
2006	J	`jnl`	Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators. Computing Wolfgang Hackbusch, Boris N. Khoromskij
2006	J	`jnl`	On the Efficient Evaluation of Coalescence Integrals in Population Balance Models. Computing Wolfgang Hackbusch
2005	J	`jnl`	Data-sparse approximation to a class of operator-valued functions. Math. Comput. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2005	J	`jnl`	Hierarchical Kronecker tensor-product approximations. J. Num. Math. Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2005	J	`jnl`	Hierarchical Quadrature for Singular Integrals. Computing Steffen Börm, Wolfgang Hackbusch
2005	J	`jnl`	Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems. Computing Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2004	J	`jnl`	Adaptive Geometrically Balanced Clustering of H-Matrices. Computing Lars Grasedyck, Wolfgang Hackbusch, Sabine Le Borne
2004	J	`jnl`	Data-sparse approximation to the operator-valued functions of elliptic operator. Math. Comput. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2004	J	`jnl`	Hierarchical Matrices Based on a Weak Admissibility Criterion. Computing Wolfgang Hackbusch, Boris N. Khoromskij, Ronald Kriemann
2004	J	`jnl`	Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Math. Comput. Wolfgang Dahmen, B. Faermann, Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
2003	J	`jnl`	Construction and Arithmetics of H-Matrices. Computing Lars Grasedyck, Wolfgang Hackbusch
2003	J	`jnl`	Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L Numerische Mathematik Mario Bebendorf, Wolfgang Hackbusch
2003	J	`jnl`	Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices. Computing Lars Grasedyck, Wolfgang Hackbusch, Boris N. Khoromskij
2002	J	`jnl`	Blended kernel approximation in the ℋ-matrix techniques. Numer. Linear Algebra Appl. Wolfgang Hackbusch, Boris N. Khoromskij
2002	J	`jnl`	Data-sparse Approximation by Adaptive H Computing Wolfgang Hackbusch, Steffen Börm
2002	J	`jnl`	Direct Integration of the Newton Potential over Cubes. Computing Wolfgang Hackbusch
2002	J	`jnl`	ℋ-Matrix approximation for the operator exponential with applications. Numerische Mathematik Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2001	J	`jnl`	The Efficient Computation of Certain Determinants Arising in the Treatment of Schroedinger's Equations. Computing Wolfgang Hackbusch
2001	J	`jnl`	ℋ-matrix approximation for elliptic solution operators in cylinder domains. J. Num. Math. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2000	J	`jnl`	A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems. Computing Wolfgang Hackbusch, Boris N. Khoromskij
2000	J	`jnl`	Discrete boundary element methods on general meshes in 3D. Numerische Mathematik Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
2000	J	`jnl`	Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
1999	J	`jnl`	A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids. Computing Dietrich Braess, Maksimillian Dryja, Wolfgang Hackbusch
1999	J	`jnl`	A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices. Computing Wolfgang Hackbusch
1998	J	`jnl`	Additive and Multiplicative Multi-Grid - A Comparison. Computing Peter Bastian, Wolfgang Hackbusch, Gabriel Wittum
1998	J	`jnl`	Remarks on A Posteriori Error Estimation for Inaccurate Finite Element Solutions. Computing Wolfgang Hackbusch, J. U. Wappler
1997	J	`jnl`	Downwind Gauß-Seidel Smoothing for Convection Dominated Problems. Numer. Linear Algebra Appl. Wolfgang Hackbusch, Thomas Probst
1997	J	`jnl`	On the Feedback Vertex Set Problem for a Planar Graph. Computing Wolfgang Hackbusch
1995	J	`jnl`	A Note on Reusken's Lemma. Computing Wolfgang Hackbusch
1994	J	`jnl`	On numerical cubatures of nearly singular surface integrals arising in BEM collocation. Computing Wolfgang Hackbusch, Stefan A. Sauter
1989	J	`jnl`	On first and second order box schemes. Computing Wolfgang Hackbusch
1986	—	`book`	Theorie und Numerik elliptischer Differentialgleichungen. Wolfgang Hackbusch
1985	—	`book`	Multi-grid methods and applications. Wolfgang Hackbusch
1978	J	`jnl`	A numerical method for solving parabolic equations with opposite orientations. Computing Wolfgang Hackbusch
1978	J	`jnl`	On a method of characteristics for solving a hyperbolic equation of second order. Computing Wolfgang Hackbusch
1978	J	`jnl`	On the multi-grid method applied to difference equations. Computing Wolfgang Hackbusch