Wolfgang Hackbusch | Academic Influence

Wolfgang Hackbusch's AcademicInfluence.com Rankings

Wolfgang Hackbusch

Mathematics

#2244

World Rank

#3499

Historical Rank

Measure Theory

#371

World Rank

#548

Historical Rank

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Mathematics

Wolfgang Hackbusch's Degrees

PhD Mathematics University of Hamburg

Why Is Wolfgang Hackbusch Influential?

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According to Wikipedia, Wolfgang Hackbusch is a German mathematician, known for his pioneering research in multigrid methods and later hierarchical matrices, a concept generalizing the fast multipole method. He was a professor at the University of Kiel and is currently one of the directors of the Max Planck Institute for Mathematics in the Sciences in Leipzig.

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Wolfgang Hackbusch's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Multi-grid methods and applications (1985) (2699)
Singular Integral Equations (1995) (1522)
Iterative Solution of Large Sparse Systems of Equations (1993) (934)
A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices (1999) (917)
A Sparse Matrix Arithmetic Based on $\Cal H$-Matrices. Part I: Introduction to ${\Cal H}$-Matrices (1999) (742)
On the fast matrix multiplication in the boundary element method by panel clustering (1989) (635)
Tensor Spaces and Numerical Tensor Calculus (2012) (575)
A New Scheme for the Tensor Representation (2009) (480)
Construction and Arithmetics of H-Matrices (2003) (455)
Introduction to Hierarchical Matrices with Applications (2003) (441)
Integral Equations: Theory and Numerical Treatment (1995) (435)
A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems (2000) (394)
Hierarchical Matrices: Algorithms and Analysis (2015) (322)
Data-sparse Approximation by Adaptive ℋ2-Matrices (2002) (247)
A New Convergence Proof for the Multigrid Method Including the V-Cycle (1983) (242)
Elliptic Differential Equations (1992) (241)
On H2-Matrices (2000) (233)
Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients (2003) (215)
On first and second order box schemes (1989) (158)
H 2 -matrix approximation of integral operators by interpolation (2002) (151)
Composite finite elements for the approximation of PDEs on domains with complicated micro-structures (1997) (142)
Approximation of 1/x by exponential sums in [1, ∞) (2005) (133)
Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions (2005) (123)
Black Box Low Tensor-Rank Approximation Using Fiber-Crosses (2009) (122)
Hierarchical Kronecker tensor-product approximations (2005) (122)
A numerical method for solving parabolic equations with opposite orientations (1978) (117)
Elliptic Differential Equations: Theory and Numerical Treatment (2017) (114)
Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices (2003) (111)
Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models (2007) (109)
An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples (2011) (106)
Efficient Computation of Lead Field Bases and Influence Matrix for the FEM-based EEG and MEG Inverse Problem. Part I: Complexity Considerations (2003) (105)
Approximate iterations for structured matrices (2008) (101)
Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems (2005) (99)
A sparse H -matrix arithmetic: general complexity estimates (2000) (99)
Convergence of multigrid iterations applied to difference equations (1980) (97)
Hierarchical Matrices Based on a Weak Admissibility Criterion (2004) (96)
An introduction to hierarchical matrices (2001) (96)
A Sparse ℋ-Matrix Arithmetic. (2000) (92)
On the Computation of Approximate Eigenvalues and Eigenfunctions of Elliptic Operators by Means of a Multi-Grid Method (1979) (91)
Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators (2005) (89)
Finite elements on degenerate meshes: inverse-type inequalities and applications (2005) (89)
On the nonlinear domain decomposition method (1997) (86)
Tensor-product approximation to operators and functions in high dimensions (2007) (84)
Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats (2014) (83)
Optimization problems in contracted tensor networks (2011) (83)
On Minimal Subspaces in Tensor Representations (2012) (81)
The frequency decomposition multi-grid method (1989) (81)
Multi-grid convergence theory (1982) (81)
Local Defect Correction Method and Domain Decomposition Techniques (1984) (79)
Efficient Analysis of High Dimensional Data in Tensor Formats (2012) (79)
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method (2003) (78)
Analysis of a damped nonlinear multilevel method (1989) (76)
Sparse convolution quadrature for time domain boundary integral formulations of the wave equation (2008) (76)
On the efficient use of the Galerkin-method to solve Fredholm integral equations (1993) (74)
Multigrid Methods II (1986) (74)
Data-sparse approximation to a class of operator-valued functions (2004) (74)
Parabolic multi-grid methods (1985) (71)
Tensorisation of vectors and their efficient convolution (2011) (70)
On multi-grid methods for variational inequalities (1983) (68)
Data-sparse approximation to the operator-valued functions of elliptic operator (2003) (67)
Composite finite elements for problems containing small geometric details (1997) (66)
Tensor decomposition in post-Hartree-Fock methods. I. Two-electron integrals and MP2. (2011) (61)
Minimax approximation for the decomposition of energy denominators in Laplace-transformed Møller-Plesset perturbation theories. (2008) (61)
Use of tensor formats in elliptic eigenvalue problems (2012) (60)
Tensor product approximation with optimal rank in quantum chemistry. (2007) (60)
Numerical tensor calculus* (2014) (60)
Wavelet approximation of correlated wave functions. I. Basics (2002) (57)
Hierarchical matrix techniques for low- and high-frequency Helmholtz problems (2007) (57)
On the efficient computation of high-dimensional integrals and the approximation by exponential sums (2009) (56)
$\mathcal{H}$-Matrix approximation for the operator exponential with applications (2002) (50)
On the multi-grid method applied to difference equations (1978) (50)
Parallel algorithms for partial differential equations - Proceedings of the sixth GAMM-seminar - Kiel, January 19-21, 1990 (1991) (49)
On the Convergence of Alternating Least Squares Optimisation in Tensor Format Representations (2015) (49)
On the Fast Solving of Parabolic Boundary Control Problems (1979) (49)
A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format (2012) (47)
Variational calculus with sums of elementary tensors of fixed rank (2012) (45)
Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering (2007) (44)
Volterra Integral Equations (1995) (44)
Fast solution of elliptic control problems (1980) (44)
On the Efficient Evaluation of Coalescence Integrals in Population Balance Models (2006) (43)
fMathematik in den Naturwissenschaften Leipzig H-matrix approximation for the operator exponential with applications (2000) (42)
A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids (1999) (40)
Downwind Gauß‐Seidel Smoothing for Convection Dominated Problems (1997) (40)
Additive and multiplicative multi-grid — A comparison (1998) (38)
On numerical cubatures of nearly singular surface integrals arising in BEM collocation (1994) (36)
Direct Schur complement method by domain decomposition based on H-matrix approximation (2005) (36)
Best N-term approximation in electronic structure calculations. II. Jastrow factors (2007) (35)
The frequency decomposition multi-grid method (1992) (35)
A Multigrid Method to Solve Large Scale Sylvester Equations (2007) (34)
Performance Of H-Lu Preconditioning For Sparse Matrices (2008) (33)
On the regularity of difference schemes (1981) (32)
Adaptive Geometrically Balanced Clustering of H-Matrices (2004) (32)
Tensor Spaces and Hierarchical Tensor Representations (2014) (30)
Numerische Mathematik Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L ∞-coefficients (2002) (29)
Towards H-matrix approximation of linear complexity (2001) (29)
Best N-term approximation in electronic structure calculations.I. One-electron reduced density matrix (2006) (29)
Wavelet approximation of correlated wave functions. II. Hyperbolic wavelets and adaptive approximation schemes (2002) (29)
On the convergence of multi-grid iterations (1981) (28)
On the fast solutions of nonlinear elliptic equations (1979) (28)
Fast Numerical Solution of Time-Periodic Parabolic Problems by a Multigrid Method (1981) (27)
Multi-Grid Methods (1994) (27)
A fast iterative method for solving poisson’s equation in a general region (1978) (27)
Approximation of coalescence integrals in population balance models with local mass conservation (2007) (25)
Direct Domain Decomposition using the Hierarchical Matrix Technique (2002) (25)
Theory of Fredholm Integral Equations of the Second Kind (1995) (25)
Discrete boundary element methods on general meshes in 3D (2000) (24)
Tensor Decomposition in post-Hartree Fock Methods. (2010) (24)
Results of the eigenvalue problem for the plate equation (1980) (24)
A numerical method for the simulation of an aggregation‐driven population balance system (2012) (24)
On the Dirac–Frenkel Variational Principle on Tensor Banach Spaces (2016) (24)
Multigrid Methods III (1991) (24)
Boundary Elements: Implementation and Analysis of Advanced Algorithms (1996) (24)
Wavelet approximation of correlated wavefunctions � (2003) (23)
Multigrid Methods V (1998) (23)
The Efficient Computation of Certain Determinants Arising in the Treatment of Schrödinger's Equations (2001) (23)
Tree-based tensor formats (2018) (22)
Geometric structures in tensor representations (2013) (22)
Multigrid convergence for a singular perturbation problem (1984) (22)
Downwind Gauß-Seidel Smoothing for Convection Dominated Problems (1997) (21)
Multigrid solver for the reference interaction site model of molecular liquids theory (2011) (21)
Fast and exact projected convolution for non-equidistant grids (2007) (19)
H-matrix approximation on graded meshes (1999) (19)
Geometric Structures in Tensor Representations (Final Release) (2015) (19)
On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects (1997) (19)
On the regularity of difference schemes Part II. Regularity estimates for linear and nonlinear problems (1983) (19)
The Concept of Stability in Numerical Mathematics (2014) (18)
Quantum Monte Carlo study of the transcorrelated method for correlation factors (2010) (18)
Hierarchical Quadrature for Singular Integrals (2005) (18)
Diagrammatic multiresolution analysis for electron correlations (2005) (17)
Direct Integration of the Newton Potential over Cubes (2001) (17)
Multi-grid solution of continuation problems (1982) (17)
Efficient convolution with the Newton potential in d dimensions (2008) (17)
ℋ-matrix approximation for elliptic solution operators in cylinder domains (2001) (17)
Adaptive composite finite elements for the solution of PDEs containing non-uniformly distributed micro-scales (1996) (17)
Numerical Treatment of Coupled Systems (1995) (17)
Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions (2008) (17)
Optimal $H^{p,{p/2}} $ Error Estimates for a Parabolic Galerkin Method (1981) (16)
H-matrix methods for linear and quasi-linear integral operators appearing in population balances (2007) (16)
Approximation of boundary element operators by adaptive H2-matrices (2003) (16)
Tensor representation techniques in post-Hartree–Fock methods: matrix product state tensor format (2013) (16)
On the interconnection between the higher-order singular values of real tensors (2016) (16)
On multi-grid iterations with defect correction (1982) (16)
Efficient Solutions of Elliptic Systems (1984) (16)
A new finite element approach for problems containing small geometric details (1998) (16)
Hybrid Galerkin boundary elements: theory and implementation (2000) (16)
Stabilized rounded addition of hierarchical matrices (2007) (15)
Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling (2008) (15)
Preconditioning by inverting the Laplacian: an analysis of the eigenvalues (2008) (15)
Comparison of different multi-grid variants for nonlinear equations (1992) (15)
Multigrid Methods for FEM and BEM Applications (2004) (14)
L ∞ estimation of tensor truncations (2013) (14)
Convolution of hp-functions on locally refined grids - extended version (2007) (14)
On Global Multigrid Convergence for Nonlinear Problems (1989) (14)
The Frequency Decomposition Multi-Grid Algorithm (1989) (13)
Survey on the Technique of Hierarchical Matrices (2016) (13)
Singular Perturbation Problems (1985) (13)
On the Complexity of the Panel Method (1986) (13)
The Panel Clustering Technique for the Boundary Element Method (Invited contribution) (1987) (12)
Solution of linear systems in high spatial dimensions (2015) (12)
Adaptive refinement and clustering of H-matrices (2001) (12)
Adaptive Methods — Algorithms, Theory and Applications (1994) (12)
Numerical solution of linear and nonlinear parabolic control problems (1981) (12)
Fast Solvers for Flow Problems (1995) (11)
On the feedback vertex set problem for a planar graph (1997) (10)
Hierarchical Kronecker tensor-product approximation to a class of nonlocal operators in high dimensions (2004) (10)
$$L^{\infty }$$ estimation of tensor truncations (2013) (10)
H- and H2-matrices for low and high frequency Helmholtz equation (2005) (10)
The Method of Finite Elements (1992) (10)
Canonical Tensor Products as a Generalization of Gaussian-type Orbitals (2010) (10)
Bridging the gap between quantum Monte Carlo and F12-methods (2012) (9)
Panel methods in fluid mechanics with emphasis on aerodynamics : proceedings of the third GAMM-seminar, Kiel, January 16 to 18, 1987 (1988) (9)
Robust Multi-Grid Methods (1989) (9)
Error analysis of the nonlinear multigrid method of the second kind (1981) (9)
H-Matrix Approximation for Elliptic Solution Operators in Cylindric Domains (2006) (9)
Wavelet approach to quasi two-dimensional extended many-particle systems. I. Supercell Hartree-Fock method (2005) (9)
Perturbation of Higher-Order Singular Values (2017) (9)
New estimates for the recursive low-rank truncation of block-structured matrices (2014) (9)
Hybrid Galerkin boundary elements on degenerate meshes (2000) (8)
Quantum Monte Carlo study of Jastrow perturbation theory. I. Wave function optimization (2009) (8)
Inverse Inequalities on Non � Quasiuniform Meshes and Application to the Mortar Element Method W � Dahmen (2003) (8)
Blended kernel approximation in the ℋ︁‐matrix techniques (2002) (8)
Incomplete Decomposition (ILU) — Algorithms, Theory, and Applications (1993) (8)
Multigrid methods : proceeding of the conference held at Köln-Porz, November 23-27, 1981 (1982) (8)
Extrapolation applied to the method of characteristics for a first order system of two partial differential equations (1975) (7)
A note on Reusken's Lemma (1995) (7)
The Fast Numerical Solution of Very Large Elliptic Difference Schemes (1980) (7)
The Integral Equation Method (1995) (7)
A multigrid solver for the integral equations of the theory of liquids (2008) (6)
Computation of best $$L^{\infty }$$L∞ exponential sums for 1 / x by Remez’ algorithm (2019) (6)
Extrapolation applied to certain discretization methods solving the initial value problem for hyperbolic differential equations (1977) (6)
On the Representation of Symmetric and Antisymmetric Tensors (2016) (6)
Fast Projected Convolution of Piecewise Linear Functions on Non-equidistant Grids (2008) (6)
Direct comparison of optimized effective potential and Hartree-Fock self-consistent calculations for jellium slabs (2012) (6)
Approximation of 1/||x−y|| by Exponentials for Wavelet Applications (Short Communication) (2005) (6)
Wavelet-Based Multiscale Methods for Electronic Structure Calculations (2006) (5)
Perturbative calculation of Jastrow factors : Accurate description of short-range correlations (2007) (5)
Post-Processing of High-Dimensional Data (2019) (5)
Numerical Techniques for Boundary Element Methods (1992) (5)
Geometry of tree-based tensor formats in tensor Banach spaces (2020) (5)
A fast solver for the gyrokinetic field equation with adiabatic electrons (2012) (5)
Direct Schur Complement Method by Hierarchical Matrix Techniques (2005) (4)
Numerical Treatment of Fredholm Integral Equations of the Second Kind (1995) (4)
Multigrid methods for calculating the lifting potential incompressible flows around three-dimensional bodies (1986) (4)
Partial evaluation of the discrete solution of elliptic boundary value problems (2012) (4)
FREQUENCY DECOMPOSITION MULTI-GRID METHODS FOR HYPERBOLIC PROBLEMS (1989) (4)
Applications to Elliptic Partial Differential Equations (2019) (4)
The Use of Sparse Grid Approximation for the r -Term Tensor Representation (2012) (4)
Multi-Grid Eigenvalue Computation (1985) (4)
Foundations of Computational Mathematics: Minneapolis, 2002: Approximation of boundary element operators (2004) (4)
Advances in Multi-Grid Methods (1985) (4)
Fully self-consistent Hartree-Fock calculation of jellium slabs : Exact treatment of the exchange operator (2008) (4)
Truncation of tensors in the hierarchical format (2019) (4)
Extrapolation to the limit for numerical solutions of hyperbolic equations (1977) (4)
H-matrix methods for quadratic integral operators appearing in population balances (2008) (4)
Adaptive Galerkin boundary element methods with panel clustering (2007) (4)
Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM (2004) (4)
Cobalt-59 nuclear magnetic resonance study of some polynuclear cobalt(III) complexes (1975) (3)
ELECTRON-SCATTERING STATES AT SOLID SURFACES CALCULATED WITH REALISTIC POTENTIALS (1997) (3)
Efficient multi-scale computation of products of orbitals in electronic structure calculations (2010) (3)
Coarsening of Boundary-element Spaces (2006) (3)
Iterative algorithms for the post-processing of high-dimensional data (2020) (3)
The tensor product approximation to single-electron systems (2009) (3)
Abel’s Integral Equation (1995) (3)
Numerical Techniques in Continuum Mechanics (1987) (3)
Modified Iterations for Data-Sparse Solution of Linear Systems (2021) (3)
Cobalt-59 nuclear magnetic resonance study of µ-carboxylato-di-µ-hydroxo-bis[triamminecobalt(III)] complexes (1975) (3)
Approximation of functions by exponential sums based on the Newton-type optimisation (2005) (3)
Convergence of the Multi-Grid Iteration (1985) (3)
The Panel Clustering Method for BEM (1990) (3)
Numerical Treatment of the Navier-Stokes Equations (1990) (3)
Numerical mathematics for the modeling of a current dipole in EEG source reconstruction using finite element head models (2007) (2)
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement (2007) (2)
CD2D3D — a package to solve convection dominated problems employing ordering techniques (2001) (2)
On a Time and Space Parallel Multi-Grid Method Including Remarks on Filtering Techniques (1996) (2)
Multigrid methods V : proceedings of the Fifth European Multigrid Conference, held in Stuttgart, Germany, October 1 - 4, 1996 (1998) (2)
Multigrid Methods II: Proceedings of the 2nd European Conference on Multigrid Methods Held at Cologne, October 1-4, 1985 (1986) (2)
Perturbative calculation of Jastrow factors (2007) (2)
Operator-Valued Functions of Elliptic Operator (2002) (2)
A multi-level discretization and solution method for potential flow problems in three dimensions (1986) (2)
A new incomplete factorization method (1993) (2)
Multi-Grid Algorithms (1991) (2)
Fast and Exact Projected Convolution for Non-equidistant Grids - Extended Version (2006) (2)
Construction and complexity of hierarchical matrices (2003) (2)
Approximation of the stochastic Galerkin matrix in the low‐rank canonical tensor format (2012) (2)
A Note on Nonclosed Tensor Formats (2019) (2)
Geometric Structures in Tensor Representations (Release 2) (2014) (2)
Fast integration techniques in 3D boundary elements (1999) (2)
The Poisson Equation (2017) (2)
On the efficient convolution with the Newton potential (2010) (2)
A short overview of ℋ︁2‐matrices (2003) (2)
Definition and Properties of Hierarchical Matrices (2015) (2)
Numerical method for elliptic multiscale problems (2008) (2)
Numerical Techniques for Boundary Element Methods: Proceedings Of The Seventh Gamm Seminar, Kiel, January 25-27, 1991 (1992) (1)
Mathematik in den Naturwissenschaften Leipzig Toward diagrammatic multiresolution analysis for electron correlations (2004) (1)
The Hybrid Galerkin Boundary (1997) (1)
General Boundary-Value Problems (2017) (1)
A method of characteristics solving the initial-boundary value problem of a hyperbolic differential equation of second order (1980) (1)
Methods of Jacobi and Gauß-Seidel and SOR Iteration in the Positive Definite Case (1994) (1)
The appropriate numbering for the multigrid solution of convection dominated problems (1998) (1)
Matrix Product Systems (2012) (1)
Remarks on a posteriori error estimation for inaccurate finite element solutions (1998) (1)
The Multi-Grid Method of the Second Kind (1985) (1)
On a method of characteristics for solving a hyperbolic equation of second order (1978) (1)
Nonlinear Multi-Grid Methods (1985) (1)
Preface: Special Issue Dedicated to Eberhard Zeidler’s 75th Birthday (2016) (1)
Numerical Approximation of Poisson Problems in Long Domains (2018) (1)
Efficient solutions of elliptic systems : proceedings of a GAMM-seminar, Kiel, January 27 to 29, 1984 (1984) (1)
A projection method for the computation of inner eigenvalues using high degree rational operators (2007) (1)
On the robustness of elliptic resolvents computed by means of the technique of hierarchical matrices (2008) (1)
Simulation of the population balance for droplet breakage in a liquid-liquid stirred tank reactor using H-matrix methods (2006) (1)
Advances in multi-grid methods : proceedings of the conference held in Oberwolfach, December 8 to 13, 1984 (1985) (1)
Short Communication/Kurze Mitteilung A Note on Reusken's Lemma (1995) (1)
General Techniques (2019) (1)
On Minimal Subspaces in Tensor Representations (2012) (0)
Stability of Finite Algorithms (2014) (0)
F Ur Mathematik in Den Naturwissenschaften Leipzig Wavelet Approximation of Correlated Wavefunctions. I. Basics Wavelet Approximation of Correlated Wavefunctions. I. Basics (2001) (0)
Matrix Tools (2019) (0)
$$\mathcal {H}$$-LU Iteration (2016) (0)
Genenration of Iterations (2016) (0)
Adaptive methods - algorithms, theory and applications : proceedings of the Ninth GAMM-Seminar, Kiel, January 22-24, 1993 (1994) (0)
Semi-Iterative Methods (1994) (0)
The Boundary Element Method (1995) (0)
Eigenvalue Problems and Singular Equations (1985) (0)
fMathematik in den Naturwissenschaften Leipzig Numerical Method for Elliptic Multiscale Problems (2006) (0)
Generalised Cross Approximation (2012) (0)
Conjugate Gradient Methods (1994) (0)
Applications to Finite Element Matrices (2015) (0)
Multi-Grid Methods for Solving Systems Arising from Integral Equations of the Second Kind (1995) (0)
Computation of Electromagnetic Fields for a Humidity Sensor (2003) (0)
Conjugate Gradient Methods and Generalisations (2016) (0)
Analysis of Classical Iterations Under Special Structural Conditions (2016) (0)
Tensor Subspace Approximation (2019) (0)
r-Term Representation (2019) (0)
Ordinary Differential Equations (2014) (0)
Formatted Matrix Operations for Hierarchical Matrices (2015) (0)
Domain Decomposition Methods (1994) (0)
Numerical Tensor Techniques for Multidimensional Convolution Products (2018) (0)
Numerics of Microstructures (1999) (0)
On the Combination of Iterations (1994) (0)
Fast Solvers for Flow Problems: Proceedings Of The Tenth Gamm-Seminar, Kiel, January 14-16, 1994 (1995) (0)
Math 4440/7440 Numerical Analysis of PDEs (Winter 2016) (2014) (0)
Nested Iteration Technique (1985) (0)
Mathematik in den Naturwissenschaften Leipzig Hand H 2-matrices for low and high frequency Helmholtz equation (0)
Classical Linear Iterations in the Positive Definite Case (2016) (0)
COBALT-59 NUCLEAR MAGNETIC RESONANCE STUDY OF μ-CARBOXYLATO-DI-μ-HYDROXOBIS(TRIAMMINECOBALT(III)) COMPLEXES (1976) (0)
Tools from Functional Analysis (2017) (0)
Modified Iterations for Data-Sparse Solution of Linear Systems (2021) (0)
Special Differential Equations (2017) (0)
Transformations, Secondary Iterations, Incomplete Triangular Decompositions (1994) (0)
The efficient computation of scalar products of certain antisymmetric functions (2000) (0)
Tensor Subspace Representation (2019) (0)
Banach Tensor Spaces (2019) (0)
General Multi-Grid Iteration (1985) (0)
Domain Decomposition and Subspace Methods (2016) (0)
Algebra of Linear Iterations (2016) (0)
Numerical treatment of multi-scale problems : proceedings of the 13th GAMM-Seminar, Kiel, January 24-26, 1997 (1999) (0)
General Two-Grid Method (1985) (0)
Difference Methods for the Poisson Equation (2017) (0)
Numerical Tensor Techniques for Multidimensional Convolution Products (2018) (0)
Inversion with Partial Evaluation (2015) (0)
On the interconnection between the higher-order singular values of real tensors (2016) (0)
Separable Expansions and Low-Rank Matrices (2015) (0)
Multivariate Cross Approximation (2019) (0)
Robust multi-grid methods : proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24, 1988 (1989) (0)
Stability for Discretisations of Elliptic Problems (2014) (0)
Mesh-free canonical tensor products for six-dimensional density matrix: computation of kinetic energy (2015) (0)
On the Dirac–Frenkel Variational Principle on Tensor Banach Spaces (2018) (0)
Estimation of Tensor Truncations Estimation of Tensor Truncations (2012) (0)
Mathematik in den Naturwissenschaften Leipzig Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM by Wolfgang Hackbusch (2003) (0)
\(\mathcal{H}^{2}\)-Matrices (2009) (0)
Stability for Discretisations of Integral Equations (2014) (0)
Numerical Treatment of Coupled Systems: Proceedings of the Eleventh GAMM-Seminar, Kiel, January 20–22, 1995 (2012) (0)
r-Term Approximation (2019) (0)
Partial Differential Equations and Their Classification Into Types (2017) (0)
Numerical treatment of the Navier-Stokes equations; Proceedings of the 5th GAMM-Seminar, Universitaet Kiel, Federal Republic of Germany, Jan. 20-22, 1989 (1990) (0)
Mathematik in den Naturwissenschaften Leipzig Finite elements on degenerate meshes : inverse-type inequalities and applications by (2003) (0)
F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig Multi-grid Methods for Fem and Bem Applications (2003) (0)
Convergence of the Two-Grid Iteration (1985) (0)
Analysis of Positive Definite Iterations (2016) (0)
Extrapolation and Defect Correction Techniques (1985) (0)
Tree-based tensor formats (2018) (0)
Coarsening of Finite Element and Boundary Element Spaces (2005) (0)
Shaidurov, V.V.: Multigrid Methods for Finite Elements. Dordrecht etc., Kluwer Academic Publishers 1995. XIV, 331 pp., Dfl. 225,–. ISBN 0‐7923‐3290‐3 (Mathematics and Its Applications 318) (1996) (0)
Applications to Discretised Integral Operators (2015) (0)
Minimal divergence for border rank-2 tensor approximation (2021) (0)
Truncation of tensors in the hierarchical format (2019) (0)
Tensor-based Methods (2016) (0)
H-Matrix Approximation for Elliptic Solution Operators inCylindric (2003) (0)
Short Communication Approximation of 1/ x − yby Exponentials for Wavelet Applications (Short Communication) (2006) (0)
A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format (2012) (0)
Incomplete decomposition (ILU) : algorithms, theory, and applications : proceedings of the Eighth GAMM-Seminar, Kiel, January 24-26, 1992 (1993) (0)
Mathematik in den Naturwissenschaften Leipzig Data-Sparse Approximation to Operator-Valued Functions of Elliptic Operator by (2003) (0)
Algebraic Foundations of Tensor Spaces (2012) (0)
Elliptic Eigenvalue Problems (2017) (0)
Density fitting scheme for pseudo-potentials (2008) (0)
A note on the penalty correction method (1982) (0)
The Finite-Element Method (2017) (0)
Rank-r Matrices (2015) (0)
Analysis in the 2-Cyclic Case (1994) (0)
Recapitulation of Linear Algebra (1994) (0)
F Ur Mathematik in Den Naturwissenschaften Leipzig Inverse Inequalities on Non-quasiuniform Meshes and Application to the Mortar Element Method Inverse Inequalities on Non-quasiuniform Meshes and Application to the Mortar Element Method (2001) (0)
Willard L. Miranker, 60 years (1992) (0)
On H\sp 2-matrices (2000) (0)
Implementational Details of the Boundary Element Method (1994) (0)
Hierarchical Tensor Representation (2019) (0)
Fast and Exact Projected Convolution of Piecewise Linear Functions on Non-equidistant Grids - Extended Version (2006) (0)
New estimates for the recursive low-rank truncation of block-structured matrices (2015) (0)
Instationary Partial Differential Equations (2014) (0)
Geometric structures in tensor representations : final release / Antonio Falcó, Wolfgang Hackbusch and Anthony Nouy. (2015) (0)
Analysis for M-Matrices (1994) (0)
Book Review: An Introduction to Maximum Principles and Symmetry in Elliptic Problems. By L.E. Fraenkel (2003) (0)
Tensor Operations (2020) (0)
Numerical treatment of the Navier-Stokes equations : proceedings of the fifth GAMM-Seminar, Kiel, January 20-22, 1989 (1990) (0)
Cluster Tree , Block Partitioning and Types of H-Matrices (2004) (0)
4 Fast Integration Techniques in 3 DBoundary (0)
Numerical techniques in continuum mechanics : proceedings of the second GAMM-seminar, Kiel, January 17 to 19, 1986 (1987) (0)
Low‐rank approximation of FE matrix inverses for operators with jumping coefficients (2003) (0)
Fast numerical methods for non-local operators (2004) (0)
Survey on the Technique of Hierarchical Matrices (2015) (0)
The Potential Equation (2017) (0)
Variational calculus with sums of elementary tensors of fixed rank (2012) (0)

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