Wolfgang Hackbusch, Boris N. Khoromskij and Stefan A. Sauter
On H2-matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (1999), Preprint No. 50
File: Postscript
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Wolfgang Hackbusch and Boris N. Khoromskij
H-matrix approximation on graded meshes
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (1999), Preprint No. 54
File: Postscript
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Wolfgang Hackbusch and Boris N. Khoromskij
A sparse H-matrix arithmetic. Part II: Application to multi-dimensional problems
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (1999), Preprint No. 22
File: Postscript
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Wolfgang Hackbusch and Boris N. Khoromskij
A sparse H-matrix arithmetic: general complexity estimates
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (1999), Preprint No. 66
File: Postscript
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Mario Bebendorf
Low-Rank Approximation of Asymptotically Smooth Matrices
Universität des Saarlandes (1999), Preprint No. 1
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Steffen Börm and Ralf Hiptmair
Analysis of Tensor Product Multigrid
Universität Tübingen, SFB 382 (1999), Preprint No. 123
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Steffen Börm and Ralf Hiptmair
Multigrid Computation of Axisymmetric Electromagnetic Fields
Universität Tübingen, SFB 382 (1999), Preprint No. 138
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Steffen Börm
Robust Multigrid for Maxwell's Equation
Mathematisches Seminar der Universität Kiel (2000), Preprint No. 00-17
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Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. Khoromskij
H-matrix approximation for the operator exponential with applications
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2000), Preprint No. 42
Files: Postscript , Postscript (revised version, September 2001) , PDF (revised version, September 2001)
Further Version: [Published Version] |
Wolfgang Hackbusch
The efficient computation of scalar products of certain antisymmetric functions
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2000), Preprint No. 18
File: Postscript
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Wolfgang Hackbusch and Boris N. Khoromskij
Blended kernel approximation in the H-matrix techniques
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2000), Preprint No. 66
File: Postscript
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Wolfgang Hackbusch and Boris N. Khoromskij
Towards H-matrix approximation of linear complexity
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2000), Preprint No. 15
File: Postscript
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Mario Bebendorf and Sergej Rjasanow
Matrix compression for the radiation heat transfer in exhaust pipes
Universität des Saarlandes (2000), Preprint No. 8
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Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. Khoromskij
H-matrix approximation for elliptic solutions operators in cylindric domains
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 18
File: Postscript
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Wolfgang Dahmen, Birgit Faermann, Ivan G. Graham, Wolfgang Hackbusch and Stefan A. Sauter
Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 24
File: Postscript
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Wolfgang Hackbusch
Direct integration of the Newton potential over cubes including a program description
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 68
Files: Postscript , Pascal
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Steffen Börm and Wolfgang Hackbusch
Data-sparse approximation by adaptive H2-matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 86
File: Postscript
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Heinz-Jürgen Flad, Wolfgang Hackbusch, Dietmar Kolb and Reinhold Schneider
Wavelet approximation of correlated wavefunctions. I. Basics
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 89
File: Postscript
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Heinz-Jürgen Flad, Wolfgang Hackbusch, Dietmar Kolb and Hongjun Luo
Wavelet approximation of correlated wavefunctions. II. Hyperbolic wavelets and adaptive approximation schemes
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 90
File: Postscript
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Steffen Börm and Wolfgang Hackbusch
H2-matrix approximation of integral operators by interpolation
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 104
File: Postscript
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Steffen Börm, Lars Grasedyck and Wolfgang Hackbusch
An introduction to hierarchical matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 105
File: Postscript
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Lars Grasedyck, Wolfgang Hackbusch and Sabine Le Borne
Adaptive refinement and clustering of H-matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2001), Preprint No. 106
File: Postscript
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Mario Bebendorf and Sergej Rjasanow
Adaptive Low-Rank Approximation of Collocation Matrices
Universität des Saarlandes (2001), Preprint No. 39
Further Version: [Published Version] |
B. N. Khoromskij and Jens M. Melenk
Boundary concentrated finite element methods
MPI for mathematics in the sciences (2001), Preprint No. MPI-MIS 45/2001
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Boris N. Khoromskij and Jens M. Melenk
An efficient direct solver for the Boundary concentrated FEM in 2D
MPI for mathematics in the sciences (2001), Preprint No. MPI-MIS 64/2001
Further Version: [Published Version] |
Steffen Börm, Lars Grasedyck and Wolfgang Hackbusch
Introduction to Hierarchical Matrices with Applications
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2002), Preprint No. 18
Files: Postscript , PDF
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Mario Bebendorf and Wolfgang Hackbusch
Existence of H-Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with Loo-Coefficients
MPI MIS Leipzig (2002), Preprint No. 21
File: Postscript
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Wolfgang Hackbusch
Direct Domain Decomposition using the Hierarchical Matrix Technique
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2002), Preprint No. 23
Files: Postscript , PDF
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Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. Khoromskij
Data-sparse approximation to the operator-valued functions of elliptic operators
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2002), Preprint No. 54
Further Version: [Published Version] |
Lars Grasedyck, Wolfgang Hackbusch and Boris N. Khoromskij
Solution of large scale algebraic matrix Riccati equations
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2002), Preprint No. 62
Files: Postscript , PDF
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Steffen Börm, Maike Löhndorf and Jens M. Melenk
Approximation of integral operators by variable-order interpolation
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2002), Preprint No. 82
Files: Postscript , PDF
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Ivan G. Graham, Wolfgang Hackbusch and Stefan A. Sauter
Finite elements on degenerate meshes: Inverse-type inequalities and applications
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2002), Preprint No. 102
Files: Postscript , PDF
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Lars Grasedyck and Wolfgang Hackbusch
Construction and Arithmetics of H-Matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2002), Preprint No. 103
Files: Postscript , PDF
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Steffen Börm and Wolfgang Hackbusch
Approximation of boundary element operators by adaptive H2-matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2003), Preprint No. 5
Files: Postscript , PDF
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Steffen Börm
H2-matrices - Multilevel methods for the approximation of integral operators
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2003), Preprint No. 7
Files: Postscript , PDF
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Wolfgang Hackbusch, Boris N. Khoromskij and Eugene E. Tyrtyshnikov
Hierarchical Kronecker tensor-product approximations
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2003), Preprint No. 35
Files: Postscript , PDF
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Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. Khoromskij
Data-sparse approximation of a class of operator-valued functions
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2003), Preprint No. 20
Files: Postscript , PDF
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Steffen Börm and Wolfgang Hackbusch
Hierarchical Quadrature of Singular Integrals
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2003), Preprint No. 50
Files: Postscript , PDF
Further Version: [Published Version] |
Steffen Börm and Stefan A. Sauter
Classical BEM with linear complexity
University of Zurich, Institute of Mathematics (2003), Preprint No. 15
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Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. Khoromskij
Tensor-Product Approximation to Elliptic and Parabolic Solution Operators in Higher Dimensions
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2003), Preprint No. 83
Files: Postscript , PDF
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Steffen Börm, Nico Krzebek and Stefan A. Sauter
May the singular integrals in BEM be replaced by Zero?
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2003), Preprint No. 86
Files: Postscript , PDF
Further Version: [Published Version] |
Lars Grasedyck
Adaptive recompression of H-matrices for BEM
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 17
Files: Postscript , PDF
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Steffen Börm
Approximation of integral operators by H2-matrices with adaptive bases
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 18
Files: Postscript , PDF
Further Version: [Published Version] |
Lars Grasedyck, Wolfgang Hackbusch and Sabine LeBorne
Adaptive geometrically balanced clustering of H-matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 19
Files: Postscript , PDF
Further Version: [Published Version] |
Ivan G. Graham, Wolfgang Hackbusch and Stefan A. Sauter
Finite elements on degenerate meshes: Inverse-type inequalities and applications
Department of Mathematics, University of Bath (2004)
File: PDF
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Wolfgang Hackbusch, Boris N. Khoromskij and Ronald Kriemann
Direct Schur complement method by domain decomposition based on H-matrix approximation
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 25
Files: Postscript , PDF
Further Version: [Preprint] |
Steffen Börm
H2-matrix arithmetics in linear complexity
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 47
Files: Postscript , PDF
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Lars Grasedyck and Wolfgang Hackbusch
A Multigrid Method to Solve Large Scale Sylvester Equations
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 48
Files: Postscript , PDF
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Dietrich Braess and Wolfgang Hackbusch
Approximation of 1/x by Exponential Sums in [1,oo)
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 75
Files: Postscript , PDF
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Wolfgang Hackbusch, Boris N. Khoromskij and Stefan A. Sauter
Adaptive Galerkin Boundary Element Methods with Panel Clustering
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 79
Files: Postscript , PDF
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Wolfgang Hackbusch, Boris N. Khoromskij and Ronald Kriemann
Direct Schur complement method by domain decomposition based on H-matrix approximation
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2004), Preprint No. 25
Files: Postscript , PDF
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Steffen Börm
Data-sparse approximation of non-local operators by H2-matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2005), Preprint No. 44
Files: Postscript , PDF
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Steffen Börm
Adaptive variable-rank approximation of general matrices
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2005), Preprint No. 114
Files: Postscript , PDF
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Wolfgang Hackbusch, Maike Löhndorf and Stefan A. Sauter
Coarsening of Finite Element and Boundary Element Spaces
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2005), Preprint No. 16
Files: Postscript , PDF
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Wolfgang Hackbusch
Approximation of 1/|x-y| by Exponentials for Wavelet Applications
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2005), Preprint No. 15
Files: Postscript , PDF
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Wolfgang Hackbusch
On the Efficient Evaluation of Coalescence Integrals in Population Balance Models
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig (2006), Preprint No. 29
Files: Postscript , PDF
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