de | en

Preprints

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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
Mario Bebendorf
Low-Rank Approximation of Asymptotically Smooth Matrices
Universität des Saarlandes (1999), Preprint No. 1
Further Version:
[Published Version]
Steffen Börm and Ralf Hiptmair
Analysis of Tensor Product Multigrid
Universität Tübingen, SFB 382 (1999), Preprint No. 123
Further Version:
[Published Version]
Steffen Börm and Ralf Hiptmair
Multigrid Computation of Axisymmetric Electromagnetic Fields
Universität Tübingen, SFB 382 (1999), Preprint No. 138
Further Version:
[Published Version]
Steffen Börm
Robust Multigrid for Maxwell's Equation
Mathematisches Seminar der Universität Kiel (2000), Preprint No. 00-17
Further Version:
[Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
Mario Bebendorf and Sergej Rjasanow
Matrix compression for the radiation heat transfer in exhaust pipes
Universität des Saarlandes (2000), Preprint No. 8
Further Version:
[Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
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
Further Version:
[Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
Further Version: [Published Version]
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
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
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
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
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
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
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
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
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
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
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
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
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
Further Version: [Published Version]
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