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Veröffentlichungen Prof. Dr. Dr. h.c. Wolfgang Hackbusch

Hackbusch, Wolfgang: Theorie und Numerik elliptischer Differentialgleichungen
4. Auflage. - Wiesbaden : Springer, 2017. - XIII, 400 p.
ISBN 978-3-658-15357-1 ISBN 978-3-658-15358-8
DOI: 10.1007/978-3-658-15358-8
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Hackbusch, Wolfgang and André Uschmajew: On the interconnection between the higher-order singular values of real tensors
In: Numerische Mathematik, 135 (2017) 3, p. 875-894
MIS-Preprint: 62/2015 DOI: 10.1007/s00211-016-0819-9
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Falcó, Antonio ; Hackbusch, Wolfgang and Anthony Nouy: On the Dirac-Frenkel variational principle on tensor Banach spaces
ARXIV: https://arxiv.org/abs/1610.09865
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Gittel, Hans-Peter ; Grosse, Harald ; Hackbusch, Wolfgang and Hoang Huan Phu: Special issue dedicated to Eberhard Zeidler's 75th birthday : preface
In: Vietnam journal of mathematics, 44 (2016) 1, p. 1-3
DOI: 10.1007/s10013-016-0187-x
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Hackbusch, Wolfgang: New estimates for the recursive low-rank truncation of block-structured matrices
In: Numerische Mathematik, 132 (2016) 2, p. 303-328
MIS-Preprint: 34/2014 DOI: 10.1007/s00211-015-0716-7
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Hackbusch, Wolfgang: Survey on the technique of hierarchical matrices
In: Vietnam journal of mathematics, 44 (2016) 1, p. 71-101
DOI: 10.1007/s10013-015-0168-5
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Hackbusch, Wolfgang: On the representation of symmetric and antisymmetric tensors
MIS-Preprint: 72/2016
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Hackbusch, Wolfgang: Iterative solution of large sparse systems of equations
Second edition. - Cham : Springer, 2016. - XXIII, 509 p.
(Applied mathematical sciences ; 95)
ISBN 978-3-319-28481-1 ISBN 978-3-319-28483-5
DOI: 10.1007/978-3-319-28483-5
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Hackbusch, Wolfgang ; Kressner, Daniel and André Uschmajew: Perturbation of higher-order singular values
In: SIAM Journal on applied algebra and geometry, Vol. not yet known, pp. not yet known
MIS-Preprint: 51/2016
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Chinnamsetty, Sambasiva Rao ; Espig, Mike and Wolfgang Hackbusch: Mesh-free canonical tensor products for six-dimensional density matrix : computation of kinetic energy
In: Computing and visualization in science, 17 (2015) 6, p. 267-275
MIS-Preprint: 70/2013 DOI: 10.1007/s00791-016-0263-5
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Espig, Mike ; Hackbusch, Wolfgang and Aram Khachatryan: On the convergence of alternating least squares optimisation tensor format representations
ARXIV: http://arxiv.org/abs/1506.00062
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Falcó, Antonio ; Hackbusch, Wolfgang and Anthony Nouy: Geometric structures in tensor representations
MIS-Preprint: 56/2014 ARXIV: http://arxiv.org/abs/1505.03027
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Hackbusch, Wolfgang: Solution of linear systems in high spatial dimensions
In: Computing and visualization in science, 17 (2015), p. 111-118
MIS-Preprint: 5/2015 DOI: 10.1007/s00791-015-0252-0
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Hackbusch, Wolfgang: Hierarchical matrices : algorithms and analysis
Berlin : Springer, 2015. - XXV, 511 p.
(Springer series in computational mathematics ; 49)
ISBN 978-3-662-47323-8 ISBN 978-3-662-47324-5
DOI: 10.1007/978-3-662-47324-5
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Bank, Randolph E. ; Grasedyck, Lars ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 11 - 16, 2014
In: Oberwolfach reports, 11 (2014) 2, p. 1313-1364
DOI: 10.4171/OWR/2014/24
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Dahlke, Stephan ; Dahmen, Wolfgang ; Griebel, Michael ; Hackbusch, Wolfgang ; Ritter, Klaus ; Schneider, Reinhold ; Schwab, Christoph and Harry Yserentant: Foreword
In: Extraction of quantifiable information from complex systems / Stephan Dahlke... (eds.)
New York : Springer, 2014
(Lecture notes in computational science and engineering ; 102)
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Dahlke, Stephan ; Dahmen, Wolfgang ; Griebel, Michael ; Hackbusch, Wolfgang ; Ritter, Klaus ; Schneider, Reinhold ; Schwab, Christoph and Harry Yserentant (eds.): Extraction of quantifiable information from complex systems
New York : Springer, 2014. - XIX, 432 p.
(Lecture notes in computational science and engineering ; 102)
ISBN 978-3-319-08158-8 ISBN 978-3-319-08159-5
DOI: 10.1007/978-3-319-08159-5
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Espig, Mike ; Hackbusch, Wolfgang ; Litvinenko, Alexander ; Matthies, Hermann G. and Philipp Wähnert: Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
In: Computers and mathematics with applications, 67 (2014) 4, p. 818-829
MIS-Preprint: 28/2012 DOI: 10.1016/j.camwa.2012.10.008
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Hackbusch, Wolfgang: Numerical tensor calculus
In: Acta numerica, 23 (2014), p. 651-742
DOI: 10.1017/S0962492914000087
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Hackbusch, Wolfgang: The concept of stability in numerical mathematics
Berlin : Springer, 2014. - XV, 188 p.
(Springer series in computational mathematics ; 45)
ISBN 978-3-642-39385-3 ISBN 978-3-642-39386-0
DOI: 10.1007/978-3-642-39386-0
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Hackbusch, Wolfgang and Reinhold Schneider: Tensor spaces and hierarchical tensor representations
In: Extraction of quantifiable information from complex systems / Stephan Dahlke... (eds.)
New York : Springer, 2014. - P. 237-261
(Lecture notes in computational science and engineering ; 102)
DOI: 10.1007/978-3-319-08159-5_12
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Benedikt, Udo ; Auer, Henry ; Espig, Mike ; Hackbusch, Wolfgang and Alexander A. Auer: Tensor representation techniques in post-Hartree-Fock methods : matrix product state tensor format
In: Molecular physics, 111 (2013) 16/17, p. 2398-2413
MIS-Preprint: 8/2013 DOI: 10.1080/00268976.2013.798433
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Espig, Mike ; Hackbusch, Wolfgang ; Litvinenko, Alexander ; Matthies, Hermann G. and Elmar Zander: Efficient analysis of high dimensional data in tensor formats
In: Sparse grids and applications / Jochen Garcke... (eds.)
Berlin : Springer, 2013. - P. 31-56
(Lecture notes in computational science and engineering ; 88)
MIS-Preprint: 62/2011 DOI: 10.1007/978-3-642-31703-3_2
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Falcó, Antonio ; Hackbusch, Wolfgang and Anthony Nouy: Geometric structures in tensor representations
MIS-Preprint: 9/2013
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Hackbusch, Wolfgang: The use of sparse grid approximation for the r-term tensor representation
In: Sparse grids and applications / Jochen Garcke... (eds.)
Berlin : Springer, 2013. - P. 151-159
(Lecture notes in computational science and engineering ; 88)
DOI: 10.1007/978-3-642-31703-3_7
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Hackbusch, Wolfgang: Partielle Differentialgleichungen und Wissenschaftliches Rechnen. Chapter 7.7
In: Springer-Taschenbuch der Mathematik / Eberhard Zeidler (ed.)
Berlin : Springer, 2013. - P. 927-980
DOI: 10.1007/978-3-8348-2359-5_8
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Hackbusch, Wolfgang: Partielle Differentialgleichungen und Wissenschaftliches Rechnen. Chapter 7.7
In: Springer-Handbuch der Mathematik. Vol. 3 / Eberhard Zeidler (ed.)
Wiesbaden : Springer, 2013. - P. 179-232
DOI: 10.1007/978-3-658-00275-6_3
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Hackbusch, Wolfgang: L estimation of tensor truncations
In: Numerische Mathematik, 125 (2013) 3, p. 419-440
MIS-Preprint: 17/2012 DOI: 10.1007/s00211-013-0544-6
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Borchardt, M. ; Kleiber, R. and Wolfgang Hackbusch: A fast solver for the gyrokinetic field equation with adiabatic electrons
In: Journal of computational physics, 231 (2012) 18, p. 6207-6212
DOI: 10.1016/j.jcp.2012.06.001
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Chinnamsetty, Sambasiva Rao ; Luo, Hongjun ; Hackbusch, Wolfgang ; Flad, Heinz-Jürgen and André Uschmajew: Bridging the gap between quantum Monte Carlo and F12-methods
In: Chemical physics, 401 (2012), p. 36-44
MIS-Preprint: 68/2011 DOI: 10.1016/j.chemphys.2011.09.019
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Espig, Mike and Wolfgang Hackbusch: A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format
In: Numerische Mathematik, 122 (2012) 3, p. 489-525
MIS-Preprint: 78/2010 DOI: 10.1007/s00211-012-0465-9
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Espig, Mike ; Hackbusch, Wolfgang ; Handschuh, Stefan and Reinhold Schneider: Optimization problems in contracted tensor networks
In: Computing and visualization in science, 14 (2012) 6, p. 271-285
MIS-Preprint: 66/2011 DOI: 10.1007/s00791-012-0183-y
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Espig, Mike ; Hackbusch, Wolfgang ; Rohwedder, Thorsten and Reinhold Schneider: Variational calculus with sums of elementary tensors of fixed rank
In: Numerische Mathematik, 122 (2012) 3, p. 469-488
MIS-Preprint: 52/2009 DOI: 10.1007/s00211-012-0464-x
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Falcó, Antonio and Wolfgang Hackbusch: On minimal subspaces in tensor representations
In: Foundations of computational mathematics, 12 (2012) 6, p. 765-803
MIS-Preprint: 70/2010 DOI: 10.1007/s10208-012-9136-6
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Hackbusch, Wolfgang: Tensor spaces and numerical tensor calculus
Heidelberg : Springer, 2012. - XXIV, 500 p.
(Springer series in computational mathematics ; 42)
ISBN 978-3-642-28026-9 ISBN 978-3-642-28027-6
DOI: 10.1007/978-3-642-28027-6
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Hackbusch, Wolfgang and Florian Drechsler: Partial evaluation of the discrete solution of elliptic boundary value problems
In: Computing and visualization in science, 15 (2012) 5, p. 227-245
MIS-Preprint: 59/2012 DOI: 10.1007/s00791-013-0211-6
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Hackbusch, Wolfgang ; John, Volker ; Khachatryan, Aram and Carina Suciu: A numerical method for the simulation of an aggregation-driven population balance system
In: International journal for numerical methods in fluids, 69 (2012) 10, p. 1646-1660
DOI: 10.1002/fld.2656
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Hackbusch, Wolfgang ; Khoromskij, Boris N. ; Sauter, Stefan A. and Eugene E. Tyrtyshnikov: Use of tensor formats in elliptic eigenvalue problems
In: Numerical linear algebra with applications, 19 (2012) 1, p. 133-151
MIS-Preprint: 78/2008 DOI: 10.1002/nla.793
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Luo, Hongjun ; Horowitz, Claudio M. ; Flad, Heinz-Jürgen ; Proetto, César and Wolfgang Hackbusch: Direct comparison of optimized effective potential and Hartree-Fock self-consistent calculations for jellium slabs
In: Physical review / B, 85 (2012) 16, 165133
DOI: 10.1103/PhysRevB.85.165133
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Bank, Randolph E. ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 22 - 28, 2011
In: Oberwolfach reports, 8 (2011) 2, p. 1511-1571
DOI: 10.4171/OWR/2011/28
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Benedikt, Udo ; Auer, Alexander A. ; Espig, Mike and Wolfgang Hackbusch: Tensor decomposition in post-Hartree Fock methods. Pt. 1 : Two-electron integrals and MP2
In: The journal of chemical physics, 134 (2011) 5, 054118
MIS-Preprint: 63/2010 DOI: 10.1063/1.3514201
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Grasedyck, Lars and Wolfgang Hackbusch: An introduction to hierarchical (H-) rank and TT-rank of tensors with examples
In: Computational methods in applied mathematics, 11 (2011) 3, p. 291-304
DOI: 10.2478/cmam-2011-0016
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Hackbusch, Wolfgang: Tensorisation of vectors and their efficient convolution
In: Numerische Mathematik, 119 (2011) 3, p. 465-488
MIS-Preprint: 48/2010 DOI: 10.1007/s00211-011-0393-0
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Sergiievskyi, Volodymyr ; Hackbusch, Wolfgang and Maxim V. Fedorov: Multigrid solver for the reference interaction site model of molecular liquids theory
In: Journal of computational chemistry, 32 (2011) 9, p. 1982-1992
DOI: 10.1002/jcc.21783
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Chinnamsetty, Sambasiva Rao ; Espig, Mike ; Flad, Heinz-Jürgen and Wolfgang Hackbusch: Canonical tensor products as a generalization of Gaussian-type orbitals
In: Progress in physical chemistry 3 : modern and universal first-principles methods for many-electron systems in chemistry and physics / Michael Dolg (ed.)
München : Oldenbourg-Verlag, 2010. - P. 391-404
MIS-Preprint: 29/2009
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Chinnamsetty, Sambasiva Rao ; Espig, Mike ; Flad, Heinz-Jürgen and Wolfgang Hackbusch: Canonical tensor products as a generalization of Gaussian-type orbitals
In: Zeitschrift für physikalische Chemie, 224 (2010) 3/4, p. 681-694
MIS-Preprint: 29/2009 DOI: 10.1524/zpch.2010.6131
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Chinnamsetty, Sambasiva Rao ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Efficient multi-scale computation of products of orbitals in electronic structure calculations
In: Computing and visualization in science, 13 (2010) 8, p. 397-408
MIS-Preprint: 71/2009 DOI: 10.1007/s00791-011-0153-9
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Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Khoromskij, Boris N. and Reinhold Schneider: Concepts of data-sparse tensor-product approximation in many-particle modelling
In: Matrix methods : theory, algorithms and applications ; dedicated to the memory of Gene Golub ; based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23-27, 2007 / Vadim Olshevsky... (eds.)
Hackensack, NJ : World Scientific, 2010. - P. 313-347
MIS-Preprint: 3/2008
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Hackbusch, Wolfgang: Elliptic differential equations : theory and numerical treatment
1. softcover printing. - Berlin [u. a.] : Springer, 2010. - XIV, 311 p.
(Springer series in computational mathematics ; 18)
ISBN 978-3-540-54822-5 ISBN 978-3-642-05244-6 ISBN 978-3-642-11490-8
DOI: 10.1007/978-3-642-11490-8
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Hackbusch, Wolfgang ; Naraparaju, Kishore Kumar and Jan Schneider: On the efficient convolution with the Newton potential
In: Journal of numerical mathematics, 18 (2010) 4, p. 257-280
MIS-Preprint: 53/2009 DOI: 10.1515/JNUM.2010.013
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Luo, Hongjun ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Quantum Monte Carlo study of the transcorrelated method for correlation factors
In: Molecular physics, 108 (2010) 3/4, p. 425-431
DOI: 10.1080/00268970903521194
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Braess, Dietrich and Wolfgang Hackbusch: On the efficient computation of high-dimensional integrals and the approximation by exponential sums
In: Multiscale, nonlinear and adaptive approximation : dedicated to Wolfgang Dahmen on the occasion of his 60th birthday / Ronald A. DeVore... (eds.)
Berlin [u.a.] : Springer, 2009. - P. 39-74
MIS-Preprint: 3/2009 DOI: 10.1007/978-3-642-03413-8_3
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Chinnamsetty, Sambasiva Rao ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: The tensor product approximation to single-electron systems
MIS-Preprint: 23/2009
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Espig, Mike ; Grasedyck, Lars and Wolfgang Hackbusch: Black box low tensor-rank approximation using fiber-crosses
In: Constructive approximation, 30 (2009) 3, p. 557-597
MIS-Preprint: 60/2008 DOI: 10.1007/s00365-009-9076-9
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Hackbusch, Wolfgang: Convolution of hp-functions on locally refined grids
In: IMA journal of numerical analysis, 29 (2009) 4, p. 960-985
MIS-Preprint: 38/2007 DOI: 10.1093/imanum/drn047
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Hackbusch, Wolfgang: Hierarchische Matrizen : Algorithmen und Analysis
1. Auflage. - Dordrecht : Springer, 2009. - XX, 451 p.
ISBN 978-3-642-00221-2 ISBN 978-3-642-00222-9
DOI: 10.1007/978-3-642-00222-9
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Hackbusch, Wolfgang ; Kress, Wendy and Stefan A. Sauter: Sparse convolution quadrature for time domain boundary integral formulations of the wave equation
In: IMA journal of numerical analysis, 29 (2009) 1, p. 158-179
MIS-Preprint: 116/2005 DOI: 10.1093/imanum/drm044
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Hackbusch, Wolfgang and Stefan Kühn: A new scheme for the tensor representation
In: The journal of Fourier analysis and applications, 15 (2009) 5, p. 706-722
MIS-Preprint: 2/2009 DOI: 10.1007/s00041-009-9094-9
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Luo, Hongjun ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Quantum Monte Carlo study of Jastrow perturbation theory. Pt. 1 : Wave function optimization
In: The journal of chemical physics, 131 (2009) 10, 104106
DOI: 10.1063/1.3220631
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Nielsen, Bjorn Fredrik ; Tveito, Aslak and Wolfgang Hackbusch: Preconditioning by inverting the Laplacian : an analysis of the eigenvalues
In: IMA journal of numerical analysis, 29 (2009) 1, p. 24-42
DOI: 10.1093/imanum/drm018
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Banjai, Lehel and Wolfgang Hackbusch: Hierarchical matrix techniques for low- and high-frequency Helmholtz problems
In: IMA journal of numerical analysis, 28 (2008) 1, p. 46-79
MIS-Preprint: 17/2005 DOI: 10.1093/imanum/drm001
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Bank, Randolph E. ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 18 - 24, 2008
In: Oberwolfach reports, 5 (2008) 2, p. 1233-1294
DOI: 10.4171/OWR/2008/23
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Chinnamsetty, Sambasiva Rao ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Density fitting scheme for pseudo-potentials
MIS-Preprint: 66/2008
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Espig, Mike and Wolfgang Hackbusch: On the robustness of elliptic resolvents computed by means of the technique of hierarchical matrices
In: Applied numerical mathematics, 58 (2008) 12, p. 1844-1851
MIS-Preprint: 11/2007 DOI: 10.1016/j.apnum.2007.11.006
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Fedorov, Maxim V. and Wolfgang Hackbusch: A multigrid solver for the integral equations of the theory of liquids
In: The journal of chemical physics, Vol. not yet known, pp. not yet known
MIS-Preprint: 88/2008
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Graham, Ivan G. ; Grasedyck, Lars ; Hackbusch, Wolfgang and Stefan A. Sauter: Optimal panel-clustering in the presence of anisotropic mesh refinement
In: SIAM journal on numerical analysis, 46 (2008) 1, p. 517-543
MIS-Preprint: 149/2006 DOI: 10.1137/060677987
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Grasedyck, Lars ; Hackbusch, Wolfgang and Ronald Kriemann: Performance of H-LU preconditioning for sparse matrices
In: Computational methods in applied mathematics, 8 (2008) 4, p. 336-349
MIS-Preprint: 65/2008 DOI: 10.2478/cmam-2008-0024
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Greff, Isabelle and Wolfgang Hackbusch: Numerical method for elliptic multiscale problems
In: Journal of numerical mathematics, 16 (2008) 2, p. 119-138
MIS-Preprint: 138/2006 DOI: 10.1515/JNUM.2008.006
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Hackbusch, Wolfgang: Fast projected convolution of piecewise linear functions on non-equidistant grids
In: From nano to space / Michael H. Breitner (ed.)
Berlin : Springer, 2008. - P. 145-160
MIS-Preprint: 110/2006 DOI: 10.1007/978-3-540-74238-8_12
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Hackbusch, Wolfgang: Efficient convolution with the Newton potential in d dimensions
In: Numerische Mathematik, 110 (2008) 4, p. 449-489
MIS-Preprint: 81/2007 DOI: 10.1007/s00211-008-0171-9
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Hackbusch, Wolfgang ; Khoromskij, Boris N. and Eugene E. Tyrtyshnikov: Approximate iterations for structured matrices
In: Numerische Mathematik, 109 (2008) 3, p. 365-383
MIS-Preprint: 112/2005 DOI: 10.1007/s00211-008-0143-0
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Hackbusch, Wolfgang ; Koch, Juergen and Kai Sundmacher: H-matrix methods for quadratic integral operators appearing in population balances
In: Computers and chemical engineering, 32 (2008) 8, p. 1789-1809
DOI: 10.1016/j.compchemeng.2007.09.003
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Khoromskij, Boris N. and Wolfgang Hackbusch: Tensor-product approximation to multidimensional integral operators and Green's functions
In: SIAM journal on matrix analysis and applications, 30 (2008) 3, p. 1233-1253
MIS-Preprint: 38/2006 DOI: 10.1137/060657017
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Luo, Hongjun ; Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Dietmar Kolb: Fully self-consistent Hartree-Fock calculation of jellium slabs : exact treatment of the exchange operator
In: Physical review / B, 78 (2008) 3, 035136
MIS-Preprint: 91/2007 DOI: 10.1103/PhysRevB.78.035136
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Takatsuka, Akio ; Ten-no, Seiichiro and Wolfgang Hackbusch: Minimax approximation for the decomposition of energy denominators in Laplace-transformed Moller-Plesset perturbation theories
In: The journal of chemical physics, 129 (2008) 4, 044112
MIS-Preprint: 45/2008 DOI: 10.1063/1.2958921
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Bebendorf, Mario and Wolfgang Hackbusch: Stabilized rounded addition of hierarchical matrices
In: Numerical linear algebra with applications, 14 (2007) 5, p. 407-423
MIS-Preprint: 4/2007 DOI: 10.1002/nla.525
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Chinnamsetty, Sambasiva Rao ; Espig, Mike ; Khoromskij, Boris N. ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Tensor product approximation with optimal rank in quantum chemistry
In: The journal of chemical physics, 127 (2007) 8, 084110
MIS-Preprint: 41/2007 DOI: 10.1063/1.2761871
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Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Reinhold Schneider: Best N-term approximation in electronic structure calculations. Pt. 2 : Jastrow factors
In: ESAIM / Mathematical modelling and numerical analysis, 41 (2007) 2, p. 261-279
MIS-Preprint: 80/2005 DOI: 10.1051/m2an:2007016
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Grasedyck, Lars and Wolfgang Hackbusch: A multigrid method to solve large scale Sylvester equations
In: SIAM journal on matrix analysis and applications, 29 (2007) 3, p. 870-894
MIS-Preprint: 48/2004 DOI: 10.1137/040618102
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Hackbusch, Wolfgang: Approximation of coalescence integrals in population balance models with local mass conservation
In: Numerische Mathematik, 106 (2007) 4, p. 627-657
MIS-Preprint: 111/2006 DOI: 10.1007/s00211-007-0077-y
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Hackbusch, Wolfgang: Fast and exact projected convolution for non-equidistant grids
In: Computing, 80 (2007) 2, p. 137-168
MIS-Preprint: 102/2006 DOI: 10.1007/s00607-007-0229-z
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Hackbusch, Wolfgang and Boris N. Khoromskij: Tensor-product approximation to operators and functions in high dimensions
In: Journal of complexity, 23 (2007) 4/6, p. 697-714
MIS-Preprint: 139/2006 DOI: 10.1016/j.jco.2007.03.007
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Hackbusch, Wolfgang ; Khoromskij, Boris N. and Stefan A. Sauter: Adaptive Galerkin boundary element methods with panel clustering
In: Numerische Mathematik, 105 (2007) 4, p. 603-631
MIS-Preprint: 79/2004 DOI: 10.1007/s00211-006-0047-9
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Hackbusch, Wolfgang and Wendy Kress: A projection method for the computation of inner eigenvalues using high degree rational operators
In: Computing, 81 (2007) 4, p. 259-268
MIS-Preprint: 55/2007 DOI: 10.1007/s00607-007-0253-z
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Hackbusch, Wolfgang ; Kress, Wendy and Stefan A. Sauter: Sparse convolution quadrature for time domain boundary integral formulations of the wave equation by cutoff and panel-clustering
In: Boundary element analysis / Martin Schanz... (eds.)
Berlin : Springer, 2007. - P. 113-134
(Lecture notes in applied and computational mechanics ; 29)
MIS-Preprint: 22/2006 DOI: 10.1007/978-3-540-47533-0_5
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Koch, Juergen ; Hackbusch, Wolfgang and Kai Sundmacher: H-matrix methods for linear and quasi-linear integral operators appearing in population balances
In: Computers and chemical engineering, 31 (2007) 7, p. 745-759
DOI: 10.1016/j.compchemeng.2006.07.012
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Luo, Hongjun ; Kolb, Dietmar ; Flad, Heinz-Jürgen and Wolfgang Hackbusch: Perturbative calculation of Jastrow factors : accurate description of short-range correlations
In: Physical review / B, 75 (2007) 12, 125111
MIS-Preprint: 44/2007 DOI: 10.1103/PhysRevB.75.125111
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Wolters, Carsten H. ; Köstler, Harald ; Möller, Christian ; Härdtlein, Jochen ; Grasedyck, Lars and Wolfgang Hackbusch: Numerical mathematics of the subtraction method for the modeling of a current dipole in EEG source reconstruction using finite element head models
In: SIAM journal on scientific computing, 30 (2007) 1, p. 24-45
MIS-Preprint: 47/2007 DOI: 10.1137/060659053
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Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Luo, Hongjun and Dietmar Kolb: Wavelet-based multiscale methods for electronic structure calculations
In: Analysis, modeling and simulation of multiscale problems / Alexander Mielke (ed.)
Berlin [u.a.] : Springer, 2006. - P. 299-330
DOI: 10.1007/3-540-35657-6_11
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Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Reinhold Schneider: Best N-term approximation in electronic structure calculations. Pt. 1 : One-electron reduced density matrix
In: ESAIM / Mathematical modelling and numerical analysis, 40 (2006) 1, p. 49-61
MIS-Preprint: 60/2005 DOI: 10.1051/m2an:2006007
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Hackbusch, Wolfgang: On the efficient evaluation of coalescence integrals in population balance models
In: Computing, 78 (2006) 2, p. 145-159
MIS-Preprint: 29/2006 DOI: 10.1007/s00607-006-0174-2
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Hackbusch, Wolfgang: Approximation of 1/||x-y|| by exponentials for wavelet applications
In: Computing, 76 (2006) 3-4, p. 359-366
MIS-Preprint: 15/2005 DOI: 10.1007/s00607-005-0134-2
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Hackbusch, Wolfgang: Elliptic differential equations : theory and numerical treatment = Tuo yuan wei fen fang cheng : li lun yu shu zhi chu li
Beijing : Science Press, 2006. - XII, 311 p.
(Guo wai shu xue ming zhu xi lie ; 20)
ISBN 7-03-016684-1 ISBN 978-7-03-016684-5
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Hackbusch, Wolfgang and Boris N. Khoromskij: Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators. Pt. 2 : HKT representation of certain operators
In: Computing, 76 (2006) 3/4, p. 203-225
MIS-Preprint: 30/2005 DOI: 10.1007/s00607-005-0145-z
BibTeX
Hackbusch, Wolfgang and Boris N. Khoromskij: Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators. Pt. 1 : Separable approximation of multi-variate functions
In: Computing, 76 (2006) 3/4, p. 177-202
MIS-Preprint: 29/2005 DOI: 10.1007/s00607-005-0144-0
BibTeX
Hackbusch, Wolfgang ; Löhndorf, Maike and Stefan A. Sauter: Coarsening of boundary-element spaces
In: Computing, 77 (2006) 3, p. 253-273
MIS-Preprint: 16/2005 DOI: 10.1007/s00607-005-0160-0
BibTeX
Bank, Randolph E. ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 22 - 28, 2005
In: Oberwolfach reports, 2 (2005) 2, p. 1299-1370
DOI: 10.4171/OWR/2005/24
BibTeX
Braess, Dietrich and Wolfgang Hackbusch: Approximation of 1/x by exponential sums in [1,infinity)
In: IMA journal of numerical analysis, 25 (2005) 4, p. 685-697
MIS-Preprint: 75/2004 DOI: 10.1093/imanum/dri015
BibTeX
Börm, Steffen and Wolfgang Hackbusch: Hierarchical quadrature for singular integrals
In: Computing, 74 (2005) 2, p. 75-100
MIS-Preprint: 50/2003 DOI: 10.1007/s00607-004-0076-0
BibTeX
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Luo, Hongjun and Dietmar Kolb: Diagrammatic multiresolution analysis for electron correlations
In: Physical review / B, 71 (2005) 12, 125115
MIS-Preprint: 65/2004 DOI: 10.1103/PhysRevB.71.125115
BibTeX
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Luo, Hongjun and Dietmar Kolb: Wavelet approach to quasi two-dimensional extended many-particle systems. Pt. 1 : Supercell Hartree-Fock method
In: Journal of computational physics, 205 (2005) 2, p. 540-566
MIS-Preprint: 66/2004 DOI: 10.1016/j.jcp.2004.11.018
BibTeX
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: Data-sparse approximation to a class of operator-valued functions
In: Mathematics of computation, 74 (2005) 250, p. 681-708
MIS-Preprint: 20/2003 LINK: http://www.jstor.org/stable/4100084
BibTeX
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
In: Computing, 74 (2005) 2, p. 131-157
MIS-Preprint: 83/2003 DOI: 10.1007/s00607-004-0086-y
BibTeX
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Finite elements on degenerate meshes : inverse-type inequalities and applications
In: IMA journal of numerical analysis, 25 (2005) 2, p. 379-407
MIS-Preprint: 102/2002 DOI: 10.1093/imanum/drh017
BibTeX
Hackbusch, Wolfgang: Preface [Special issue : Selected contributions to the 20th GAMM seminar Leipzig on numerical methods for non-local operators, Leipzig, Germany, January 22--24, 2004]
In: Computing, 74 (2005) 3, v-vi
DOI: 10.1007/s00607-005-0128-0
BibTeX
Hackbusch, Wolfgang: Entwicklungen nach Exponentialsummen
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-0405.html
BibTeX
Hackbusch, Wolfgang: Theorie und Numerik elliptischer Differentialgleichungen
[3.] überarbeitete und erweiterte Auflage. - Leipzig : Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2005. - XI, 242 p. LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2805.html
BibTeX
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Andreas Klaus: Approximation of functions by exponential sums based on the Newton-type optimisation
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-0305.html
BibTeX
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Ronald Kriemann: Direct Schur complement method by hierarchical matrix techniques
In: Domain decomposition methods in science and engineering : [Proceedings of the 15th international conference on domain decomposition methods, Berlin, 2003] / Ralf Kornhuber... (eds.)
Berlin [u.a.] : Springer, 2005. - P. 581-588
(Lecture notes in computational science and engineering ; 40)
DOI: 10.1007/3-540-26825-1_61
BibTeX
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Ronald Kriemann: Direct Schur complement method by domain decomposition based on H-matrix approximation
In: Computing and visualization in science, 8 (2005) 3/4, p. 179-188
MIS-Preprint: 25/2004 DOI: 10.1007/s00791-005-0008-3
BibTeX
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Eugene E. Tyrtyshnikov: Hierarchical Kronecker tensor-product approximations
In: Journal of numerical mathematics, 13 (2005) 2, p. 119-156
MIS-Preprint: 35/2003 DOI: 10.1163/1569395054012767
BibTeX
Khoromskij, Boris N. and Wolfgang Hackbusch: Efficient operator calculus based on data-sparse tensor-product decompositions
In: Oberwolfach reports, 2 (2005) 2, p. 1330-1330
BibTeX
Börm, Steffen and Wolfgang Hackbusch: Approximation of boundary element operators by adaptive H2-matrices
In: Foundations of computational mathematics : Minneapolis 2002 (FoCM 2002) ; selected papers based on the plenary talks presented at FoCM 2002, Minneapolis, MN, USA, August 5-14, 2002 / Felipe Cucker... (eds.)
Cambridge : Cambridge University Press, 2004. - P. 58-75
(London Mathematical Society lecture note series ; 312)
MIS-Preprint: 5/2003
BibTeX
Dahmen, Wolfgang ; Faermann, Birgit ; Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
In: Mathematics of computation, 73 (2004) 247, p. 1107-1138
MIS-Preprint: 24/2001 LINK: http://www.jstor.org/stable/4099889
BibTeX
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: Data-sparse approximation to the operator-valued functions of elliptic operator
In: Mathematics of computation, 73 (2004) 247, p. 1297-1324
MIS-Preprint: 54/2002 LINK: http://www.jstor.org/stable/4099897
BibTeX
Grasedyck, Lars ; Hackbusch, Wolfgang and Sabine LeBorne: Adaptive geometrically balanced clustering of H-matrices
In: Computing, 73 (2004) 1, p. 1-23
MIS-Preprint: 19/2004 DOI: 10.1007/s00607-004-0068-0
BibTeX
Hackbusch, Wolfgang: Multi-grid methods for FEM and BEM applications
In: Encyclopedia of computational mechanics. Vol 1 : Fundamentals / Erwin Stein (ed.)
Chichester : Wiley, 2004. - P. 577-595
MIS-Preprint: 72/2003
BibTeX
Hackbusch, Wolfgang: Panel clustering techniques and hierarchical matrices for BEM and FEM
In: Encyclopedia of computational mechanics. Vol 1 : Fundamentals / Erwin Stein (ed.)
Chichester : Wiley, 2004. - P. 597-616
MIS-Preprint: 71/2003
BibTeX
Hackbusch, Wolfgang: Theorie und Numerik gewöhnlicher Differentialgleichungen
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2204.html
BibTeX
Hackbusch, Wolfgang and Boris N. Khoromskij: Hierarchical Kronecker tensor-product approximation to a class of nonlocal operators in high dimensions
MIS-Preprint: 16/2004
BibTeX
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Ronald Kriemann: Hierarchical matrices based on a weak admissibility criterion
In: Computing, 73 (2004) 3, p. 207-243
MIS-Preprint: 2/2003 DOI: 10.1007/s00607-004-0080-4
BibTeX
Hackbusch, Wolfgang ; Sauter, Stefan A. and Christoph Schwab: Fast numerical methods for non-local operators : abstracts from the workshop held July 4 - 10, 2004
In: Oberwolfach reports, 1 (2004) 3, p. 1747-1788
DOI: 10.4171/OWR/2004/33
BibTeX
Wolters, Carsten H. ; Grasedyck, Lars and Wolfgang Hackbusch: Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem
In: Inverse problems, 20 (2004) 4, p. 1099-1116
MIS-Preprint: 90/2003 DOI: 10.1088/0266-5611/20/4/007
BibTeX
Bebendorf, Mario and Wolfgang Hackbusch: Low-rank approximation of FE matrix inverses for operators with jumping coefficients
In: Proceedings in applied mathematics and mechanics, 2 (2003) 1, p. 25-28
DOI: 10.1002/pamm.200310007
BibTeX
Bebendorf, Mario and Wolfgang Hackbusch: Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L-infinity-coefficients
In: Numerische Mathematik, 95 (2003) 1, p. 1-28
MIS-Preprint: 21/2002 DOI: 10.1007/s00211-002-0445-6
BibTeX
Börm, Steffen ; Grasedyck, Lars and Wolfgang Hackbusch: Introduction to hierarchical matrices with applications
In: Engineering analysis with boundary elements, 27 (2003) 5, p. 405-422
MIS-Preprint: 18/2002 DOI: 10.1016/S0955-7997(02)00152-2
BibTeX
Börm, Steffen ; Grasedyck, Lars and Wolfgang Hackbusch: Hierarchical matrices
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2103.html
BibTeX
Börm, Steffen and Wolfgang Hackbusch: A short overview of H2-matrices
In: Proceedings in applied mathematics and mechanics, 2 (2003) 1, p. 33-36
DOI: 10.1002/pamm.200310009
BibTeX
Carstensen, Carsten ; Funken, Stefan ; Hackbusch, Wolfgang ; Hoppe, Ronald H. W. and Peter Monk (eds.): Computational electromagnetics : proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26-28, 2001
Berlin : Springer, 2003
(Lecture notes in computational science and engineering ; 28)
ISBN 3-540-44392-4
BibTeX
Grasedyck, Lars and Wolfgang Hackbusch: Construction and complexity of hierarchical matrices
In: Proceedings in applied mathematics and mechanics, 2 (2003) 1, p. 29-32
DOI: 10.1002/pamm.200310008
BibTeX
Grasedyck, Lars and Wolfgang Hackbusch: Construction and arithmetics of H-matrices
In: Computing, 70 (2003) 4, p. 295-334
MIS-Preprint: 103/2002 DOI: 10.1007/s00607-003-0019-1
BibTeX
Grasedyck, Lars ; Hackbusch, Wolfgang and Boris N. Khoromskij: Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
In: Computing, 70 (2003) 2, p. 121-165
MIS-Preprint: 62/2002 DOI: 10.1007/s00607-002-1470-0
BibTeX
Hackbusch, Wolfgang: Direct domain decomposition using the hierarchical matrix technique
In: Domain decomposition methods in science and engineering : [Proceedings of the 14th International Conference on Domain Decomposition Methods, Cocoyoc, Mexico] / I. Herrera... (eds.)
Mexico City : National Autnomous University of Mexico, 2003. - P. 39-50
MIS-Preprint: 23/2002
BibTeX
Hackbusch, Wolfgang: Der Stabilitätsbegriff in der Numerik
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2003.html
BibTeX
Hackbusch, Wolfgang: Elliptic differential equations : theory and numerical treatment
Second printing. - Berlin [u.a.] : Springer, 2003. - XIV, 311 p.
(Springer series in computational mathematics ; 18)
ISBN 3-540-54822-x
BibTeX
Hackbusch, Wolfgang: Multi-grid methods and applications : with 48 tab.
2. printing. - Berlin [u.a.] : Springer, 2003. - XIV, 377 p.
(Springer series in computational mathematics ; 4)
ISBN 978-3-540-12761-1 ISBN 3-540-12761-5 ISBN 0-387-12761-5
BibTeX
Hackbusch, Wolfgang and Steffen Börm: Computation of electromagnetic fields for a humidity sensor
In: Mathematics : key technology for the future ; joint projects between universities and industry / Willi Jäger... (eds.)
Berlin : Springer, 2003. - P. 305-312
BibTeX
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Kolb, Dietmar and Reinhold Schneider: Wavelet approximation of correlated wave functions. I. Basics
In: The journal of chemical physics, 116 (2002) 22, p. 9641-9657
MIS-Preprint: 89/2001 DOI: 10.1063/1.1476008
BibTeX
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: Data-sparse approximation to a hierarchy of operator-valued functions
In: Proceedings of the 18th GAMM Seminar on multigrid and related methods for optimisation problems [Leipzig, January, 2001] / Michael Griebel... (eds.)
Leipzig : Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2002. - P. 31-51
(Proceedings of the Annual GAMM Seminar ; 18)
BibTeX
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: H-matrix approximation for the operator exponential with applications
In: Numerische Mathematik, 92 (2002) 1, p. 83-111
MIS-Preprint: 42/2000 DOI: 10.1007/s002110100360
BibTeX
Griebel, Michael and Wolfgang Hackbusch (eds.): Proceedings of the 18th GAMM Seminar on multigrid and related methods for optimisation problems [Leipzig, January, 2001]
Leipzig : Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2002. - 123 p.
(Proceedings of the Annual GAMM Seminar ; 18)
ISBN 3-00-009258-7
LINK: http://www.mis.mpg.de/conferences/gamm/2002
BibTeX
Hackbusch, Wolfgang: Direct integration of the Newton potential over cubes
In: Computing, 68 (2002) 3, p. 193-216
MIS-Preprint: 68/2001 DOI: 10.1007/s00607-001-1443-8
BibTeX
Hackbusch, Wolfgang and Steffen Börm: H2-matrix approximation of integral operators by interpolation
In: Applied numerical mathematics, 43 (2002) 1-2, p. 129-143
MIS-Preprint: 104/2001 DOI: 10.1016/S0168-9274(02)00121-6
BibTeX
Hackbusch, Wolfgang and Steffen Börm: Data-sparse approximation by adaptive H2-matrices
In: Computing, 69 (2002) 1, p. 1-35
MIS-Preprint: 86/2001 DOI: 10.1007/s00607-002-1450-4
BibTeX
Hackbusch, Wolfgang ; Grasedyck, Lars and Steffen Börm: An introduction to hierarchical matrices
In: Mathematica bohemica, 127 (2002) 2, p. 229-241
MIS-Preprint: 105/2001 LINK: http://www.emis.ams.org/journals/MB/127.2/mb127_2_11.pdf
BibTeX
Hackbusch, Wolfgang and Boris N. Khoromskij: Blended kernel approximation in the H-matrix techniques
In: Numerical linear algebra with applications, 9 (2002) 4, p. 281-304
MIS-Preprint: 66/2000 DOI: 10.1002/nla.273
BibTeX
Luo, Hongjun ; Kolb, Dietmar ; Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Thomas Koprucki: Wavelet approximation of correlated wave functions. II. Hyperbolic wavelets and adaptive approximation schemes
In: The journal of chemical physics, 117 (2002) 8, p. 3625-3638
MIS-Preprint: 90/2001 DOI: 10.1063/1.1494800
BibTeX
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: H-matrix approximation for elliptic solution operators in cylinder domains
In: East west journal of numerical mathematics, 9 (2001) 1, p. 25-58
MIS-Preprint: 18/2001 DOI: 10.1515/JNMA.2001.25
BibTeX
Grasedyck, Lars ; Hackbusch, Wolfgang and Sabine LeBorne: Adaptive refinement and clustering of H-matrices
MIS-Preprint: 106/2001
BibTeX
Hackbusch, Wolfgang: The efficient computation of certain determinants arising in the treatment of Schrödinger's equations
In: Computing, 67 (2001) 1, p. 35-56
MIS-Preprint: 18/2000 DOI: 10.1007/s006070170015
BibTeX
Hackbusch, Wolfgang and Boris N. Khoromskij: Towards H-matrix approximation of linear complexity
In: Problems and methods in mathematical physics : the Siegfried Prössdorf memorial volume ; proceedings of the 11th TMP, Chemnitz, Germany, March 25 - 28, 1999 / Johannes Elschner... (eds.)
Basel [u. a.] : Birkhäuser, 2001. - P. 194-220
(Operator theory : advances and applications ; 121)
MIS-Preprint: 15/2000
BibTeX
Hackbusch, Wolfgang ; Kriemann, Ronald ; LeBorne, Sabine and J.-F. Maitre: CD2D3D - a package to solve convection dominated problems employing ordering techniques
In: Numerical flow simulation II : CNRS-DFG collaborative research programme, results 1998 - 2000 / Ernst H. Hirschel (ed.)
Berlin : Springer, 2001. - P. 34-48
(Notes on numerical fluid mechanics ; 75)
BibTeX
Hackbusch, Wolfgang and Ulrich Langer (eds.): Proceedings of the 17th GAMM Seminar Leipzig on Construction of Grid Generation Algorithms : an online publication of the Max Planck Institute for Mathematics in the Sciences ; [Leipzig, February 1 - 3, 2001]
Leipzig : Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2001. - VIII, 190 p.
(Proceedings of the Annual GAMM Seminar ; 17)
ISBN 3-00-007753-7
BibTeX
Hackbusch, Wolfgang and Stefan A. Sauter (eds.): Proceedings of the 15th GAMM Seminar Kiel on Numerical Techniques for Composite Materials ; Kiel, January 22nd to 24th, 1999
Kiel : Univ., 2000
(Proceedings of the Annual GAMM Seminar ; 15)
BibTeX
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Hybrid Galerkin boundary elements on degenerate meshes
In: Mathematical aspects of boundary element methods : minisymposium during the IABEM 98 conference, dedicated to Vladimir Maz'ya on the occasion of his 60th birthday on 31st December 1997, Paris, France, 1998 / M. Bonnet... (eds.)
London : Chapman & Hall/CRC, 2000. - P. 140-151
(Chapman & Hall/CRC research notes in mathematics series ; 414)
BibTeX
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Hybrid Galerkin boundary elements : theory and implementation
In: Numerische Mathematik, 86 (2000) 1, p. 139-172
DOI: 10.1007/PL00005400
BibTeX
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Discrete boundary element methods on general meshes in 3D
In: Numerische Mathematik, 86 (2000) 1, p. 103-137
DOI: 10.1007/PL00005399
BibTeX
Hackbusch, Wolfgang and Boris N. Khoromskij: H-matrix approximation on graded meshes
In: The mathematics of finite elements and applications X, MAFELAP 1999 : proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22-25, 1999 / J. R. Whiteman (ed.)
Amsterdam [u. a.] : Elsevier, 2000. - P. 307-316
MIS-Preprint: 54/1999
BibTeX
Hackbusch, Wolfgang and Boris N. Khoromskij: A sparse H-matrix arithmetic. Part II. Application to multi-dimensional problems
In: Computing, 64 (2000) 1, p. 21-47
MIS-Preprint: 22/1999 DOI: 10.1007/s006070050002
BibTeX
Hackbusch, Wolfgang and Boris N. Khoromskij: A sparse H-matrix arithmetic : general complexity estimates
In: Journal of computational and applied mathematics, 125 (2000) 1-2, p. 479-501
MIS-Preprint: 66/1999 DOI: 10.1016/S0377-0427(00)00486-6
BibTeX
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Stefan A. Sauter: On H2-matrices
In: Lectures on applied mathematics : proceedings of the symposium organized by the Sonderforschungsbereich 438 on the occasion of Karl-Heinz Hoffmann's 60th birthday, Munich, June 30 - July 1, 1999 / Hans-Joachim Bungartz... (eds.)
Berlin [u. a.] : Springer, 2000. - P. 9-29
MIS-Preprint: 50/1999
BibTeX
Braess, D. ; Dryja, M. and Wolfgang Hackbusch: A multigrid method for nonconforming FE-discretisations with application to non-matching grids
In: Computing, 63 (1999) 1, p. 1-25
DOI: 10.1007/s006070050048
BibTeX
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Fast integration techniques in 3D boundary elements
In: Domain decomposition methods in sciences and engineering : 11th international conference, London, UK, 1998 / Choi-Hong Lai... (eds.)
[Bergen] : DDM.org, 1999. - P. 37-48
BibTeX
Hackbusch, Wolfgang: A sparse matrix arithmetic based on H-matrices. I. Introduction to H-matrices
In: Computing, 62 (1999) 2, p. 89-108
DOI: 10.1007/s006070050015
BibTeX
Hackbusch, Wolfgang and Gabriel Wittum (eds.): Numerical treatment of multi-scale problems : proceedings of the 13th GAMM-seminar, Kiel, January 24 - 26, 1997
Braunschweig/Wiesbaden : Vieweg und Teubner, 1999. - 180 p.
(Notes on numerical fluid mechanics ; 70)
ISBN 3-528-03120-4
BibTeX
Bastian, Peter ; Hackbusch, Wolfgang and Gabriel Wittum: Additive and multiplicative multi-grid : a comparison
In: Computing, 60 (1998) 4, p. 345-364
DOI: 10.1007/BF02684380
BibTeX
Hackbusch, Wolfgang: From classical numerical mathematics to scientific computing
In: Documenta mathematica, Extra Volume ICM 1998, I (1998), p. 235-254
BibTeX
Hackbusch, Wolfgang and Thomas Probst: Downwind Gauß-Seidel-smoothing for convection-dominated problems
In: Zeitschrift für angewandte Mathematik und Mechanik, 78 (1998) Suppl. 3, p. 933-934
DOI: 10.1002/zamm.19980781539
BibTeX
Hackbusch, Wolfgang and Stefan A. Sauter: A new finite element approach for problems containing small geometric details
In: Archivum mathematicum, 34 (1998) 1, p. 105-117
LINK: http://www.emis.ams.org/journals/AM/98-1/hackbu.ps
BibTeX
Hackbusch, Wolfgang and Jens Uwe Wappler: Remarks on a posteriori error estimation for inaccurate finite element solutions
In: Computing, 60 (1998) 2, p. 175-191
DOI: 10.1007/BF02684364
BibTeX
Hackbusch, Wolfgang and Gabriel Wittum (eds.): Multigrid methods V : proceedings of the fifth european multigrid conference, held in Stuttgart, Germany, October 1 - 4, 1996
Berlin : Springer, 1998. - VIII, 334 p.
(Lecture notes in computational science and engineering ; 3)
ISBN 978-3-642-58734-4 ISBN 3-540-63133-x
BibTeX
Dryja, M. and Wolfgang Hackbusch: On the nonlinear domain decomposition method
In: BIT : numerical mathematics, 37 (1997) 2, p. 296-311
DOI: 10.1007/BF02510214
BibTeX
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: The Hybrid Galerkin boundary element method
In: First UK conference on boundary integral methods / L. Elliott... (eds.)
[Leeds] : Leeds University Press, 1997. - P. 98-107
BibTeX
Hackbusch, Wolfgang: Kopplung von Finite-Element- und Randelementmethoden für die numerische Simulation von piezokeramischen Strukturen
In: Mathematik : Schlüsseltechnologie für die Zukunft ; Verbundprojekte zwischen Universität und Industrie / Karl-Heinz Hoffmann (ed.)
Berlin : Springer, 1997. - P. 151-160
BibTeX
Hackbusch, Wolfgang: On the feedback vertex set problem for a planar graph
In: Computing, 58 (1997) 2, p. 129-155
DOI: 10.1007/BF02684436
BibTeX
Hackbusch, Wolfgang: Numerische Mathematik und ihre Wechselwirkung mit der gegenwärtigen Rechnerentwicklung
In: Berichte und Abhandlungen / Berlin-Brandenburgische Akademie der Wissenschaften, 4 (1997), p. 55-67
BibTeX
Hackbusch, Wolfgang: Integralgleichungen : Theorie und Numerik ; mit zahlreichen Beispielen und Übungsaufgaben
2., überarb. und erw. Aufl.. - Stuttgart : B.G. Teubner, 1997. - 379 p.
(Teubner Studienbücher : Mathematik ; 68)
ISBN 3-519-12370-3
BibTeX
Hackbusch, Wolfgang ; Lage, Christian and Stefan A. Sauter: On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects
In: Boundary element topics : proceedings of the final conference of the priority research programme boundary element methods 1989-1995 of the German Research Foundation, October 2-4, 1995 in Stuttgart, Germany / W. L. Wendland (ed.)
Berlin : Springer, 1997. - P. 51-75
BibTeX
Hackbusch, Wolfgang and Thomas Probst: Downwind Gauß-Seidel smoothing for convection dominated problems
In: Numerical linear algebra with applications, 4 (1997) 2, p. 85-102
BibTeX
Hackbusch, Wolfgang and Stefan A. Sauter: Composite finite elements for problems containing small geometric details : Part II: Implementation and numerical results
In: Computing and visualization in science, 1 (1997) 1, p. 15-25
DOI: 10.1007/s007910050002
BibTeX
Hackbusch, Wolfgang and Stefan A. Sauter: Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
In: Numerische Mathematik, 75 (1997) 4, p. 447-472
DOI: 10.1007/s002110050248
BibTeX
Lorenz, S. ; Solterbeck, C. ; Schattke, W. ; Burmeister, Jens and Wolfgang Hackbusch: Electron-scattering states at solid surfaces calculated with realistic potentials
In: Physical review / B, 55 (1997) 20, p. R13432-R13435
DOI: 10.1103/PhysRevB.55.R13432
BibTeX
Burmeister, Jens and Wolfgang Hackbusch: On a time and space parallel multi-grid method including remarks on filtering techniques
In: Flow simulation with high-performance computers II : DFG priority research programme results 1993-1995 / Ernst H. Hirschel (ed.)
Braunschweig/Wiesbaden : Vieweg, 1996. - P. 5-19
(Notes on numerical fluid mechanics ; 52)
BibTeX
Hackbusch, Wolfgang: Partielle Differentialgleichungen und wissenschaftliches Rechnen
In: Teubner-Taschenbuch der Mathematik. [Vol. 1] / I. N. Bronstein... (eds.)
Stuttgart ; Leipzig : Teubner, 1996. - P. 1165-1220
BibTeX
Hackbusch, Wolfgang: Theorie und Numerik elliptischer Differentialgleichungen : mit Beispielen und Übungsaufgaben
2., durchgesehene Auflage. - Stuttgart : Teubner, 1996. - 278 p.
(Teubner-Studienbücher : Mathematik)
ISBN 3-519-12074-7
BibTeX
Hackbusch, Wolfgang and Stefan A. Sauter: Adaptive composite finite elements for the solution of PDEs containing nonuniformely distributed micro-scales
In: Matematiceskoe modelirovanie = Mathematical modeling, 8 (1996) 9, p. 31-43
BibTeX
Hackbusch, Wolfgang and Gabriel Wittum (eds.): Boundary elements, implementation and analysis of advanced algorithms : proceedings of the twelfth GAMM-seminar, Kiel, January 19-21, 1996
Braunschweig/Wiesbaden : Vieweg, 1996. - 272 p.
(Notes on numerical fluid mechanics ; 54)
ISBN 3-528-07654-2
BibTeX
Hackbusch, Wolfgang: A note on Reusken's Lemma
In: Computing, 55 (1995) 2, p. 181-189
DOI: 10.1007/BF02238100
BibTeX
Hackbusch, Wolfgang: Integral equations : theory and numerical treatment
Basel : Birkhäuser, 1995. - XIV, 359 p.
(International series of numerical mathematics ; 120)
ISBN 3-7643-2871-1 ISBN 0-8176-2871-1
BibTeX
Hackbusch, Wolfgang and Gabriel Wittum (eds.): Fast solvers for flow problems : proceedings of the tenth GAMM-seminar Kiel, Germany, January 14-16, 1994
Wiesbaden : Vieweg, 1995. - X, 289 p.
(Notes on numerical fluid mechanics ; 49)
ISBN 3-528-07649-6 ISBN 978-3-528-07649-8
BibTeX
Hackbusch, Wolfgang and Gabriel Wittum (eds.): Numerical treatment of coupled systems : proceedings of the eleventh GAMM-seminar, Kiel, Germany, January 20-22, 1995
Wiesbaden : Vieweg, 1995. - 213 p.
(Notes on numerical fluid mechanics ; 51)
ISBN 3-528-07651-8
BibTeX
Hackbusch, Wolfgang: Implementational details of the boundary element method
In: Problems and methods in mathematical physics : 10th conference, 10th TMP, TU of Chemnitz-Zwickau in Chemnitz, Germany, September 13-17, 1993 / Lothar Jentsch (ed.)
Leipzig : Teubner, 1994. - P. 71-78
(Teubner-Texte zur Mathematik ; 134)
BibTeX
Hackbusch, Wolfgang: The frequency decomposition multi-grid method
In: Multigrid methods IV : proceedings of the fourth European multigrid conference, Amsterdam, Netherlands, July 6-9, 1993 / P. W. Hemker... (eds.)
Basel : Birkhäuser, 1994. - P. 43-56
(International series of numerical mathematics ; 116)
BibTeX
Hackbusch, Wolfgang: On the combination of iterations
In: Computational methods in water resources X : Vol. 2 ; [Proceedings of the Tenth International Conference on Computational Methods in Water Resources, held at Universität Heidelberg, Germany, Jul. 1994] / Alexander Peters (ed.)
Dordrecht [u.a.] : Kluwer Acad. Publ., 1994. - P. 1401-1408
BibTeX
Hackbusch, Wolfgang: Iterative solution of large sparse systems of equations
New York, NY : Springer, 1994. - XXI, 429 p.
(Applied mathematical sciences ; 95)
ISBN 3-540-94064-2 ISBN 0-387-94064-2
BibTeX
Hackbusch, Wolfgang and Stefan A. Sauter: On numerical cubatures of nearly singular surface integrals arising in BEM collocation
In: Computing, 52 (1994) 2, p. 139-159
DOI: 10.1007/BF02238073
BibTeX
Hackbusch, Wolfgang and Gabriel Wittum (eds.): Adaptive methods - algorithms, theory and applications : proceedings of the ninth GAMM-seminar, Kiel, January 22-24, 1993
Braunschweig : Vieweg, 1994. - VII, 272 p.
(Notes on numerical fluid mechanics ; 46)
ISBN 3-528-07646-1
BibTeX
Hackbusch, Wolfgang: Iterative Lösung großer schwachbesetzter Gleichungssysteme
2., überarb. u. erw. Aufl.. - Stuttgart : Teubner, 1993. - 404 p.
ISBN 3-519-12372-x
BibTeX
Hackbusch, Wolfgang and Stefan A. Sauter: On the efficient use of the Galerkin-method to solve Fredholm integral equations
In: Applications of mathematics, 38 (1993) 4-5, p. 301-322
LINK: http://dml.cz/dmlcz/104558
BibTeX
Hackbusch, Wolfgang and Gabriel Wittum (eds.): Incomplete decomposition (ILU) - algorithms, theory, and applications : proceedings of the eighth GAMM-seminar, Kiel, January 24-26, 1992
Wiesbaden : Vieweg, 1993. - VII, 229 p.
(Notes on numerical fluid mechanics ; 41)
ISBN 3-528-07641-0
BibTeX
Hackbusch, Wolfgang: Iterationsverfahren für große Gleichungssysteme
In: Jahresbericht der DMV : Jubiläumstagung Bremen 1990 ; Hauptvorträge ; Hundert Jahre DMV / Wulf-Dieter Geyer (ed.)
Stuttgart : Teubner, 1992. - P. 124-137
BibTeX
Hackbusch, Wolfgang: Comparison of different multi-grid variants for nonlinear equations
In: Zeitschrift für angewandte Mathematik und Mechanik, 72 (1992) 2, p. 148-151
DOI: 10.1002/zamm.19920720214
BibTeX
Hackbusch, Wolfgang: A parallel conjugate gradient method
In: Journal of numerical linear algebra with applications, 1 (1992) 2, p. 133-147
BibTeX
Hackbusch, Wolfgang: The frequency decomposition multi-grid method - Part II : Convergence analysis based on the additive Schwarz method
In: Numerische Mathematik, 63 (1992) 1, p. 433-453
DOI: 10.1007/BF01385869
BibTeX
Hackbusch, Wolfgang: Elliptic differential equations : theory and numerical treatment
Berlin : Springer, 1992. - XIV, 311 p.
(Springer series in computational mathematics ; 18)
ISBN 3-540-54822-x ISBN 0-387-54822-x
BibTeX
Hackbusch, Wolfgang (ed.): Numerical techniques for boundary element methods : proceedings of the seventh GAMM-seminar, Kiel, Germany, January 25-27, 1991
Braunschweig : Vieweg, 1992. - 193 p.
(Notes on numerical fluid mechanics ; 33)
ISBN 3-528-07633-x
BibTeX
Hackbusch, Wolfgang: A parallel variant of the conjugate gradient method
In: Parallel algorithms for partial differential equations : proceedings of the sixth GAMM-seminar, Kiel, Germany, January 19-21, 1990 / Wolfgang Hackbusch (ed.)
Braunschweig : Vieweg, 1991. - P. 111-119
(Notes on numerical fluid mechanics ; 31)
BibTeX
Hackbusch, Wolfgang: Multi-grid algorithms : introduction, survey and congruence analysis
In: Computer algorithms for solving linear algebraic equations : state of the art ; [proceedings of the NATO advanced study institute on computer algorithms for solving linear algebraic equations : The state of the art, held at Il Ciocco, Barga, Italy, September 9 - 21, 1990] / Emilio Speddicato (ed.)
Berlin : Springer, 1991. - P. 133-160
(NATO ASI series : Ser. F. ; 77)
BibTeX
Hackbusch, Wolfgang: The panel clustering algorithm
In: The mathematics of finite elements and applications VII : MAFELAP 1990 / J. R. Whiteman (ed.)
London : Academic Press, 1991. - P. 339-348
BibTeX
Hackbusch, Wolfgang: The solution of large systems of BEM equations by the multi-grid and panel clustering technique
In: Rendiconti del Seminario Matematico, 49 (1991) Special issue, p. 163-187
LINK: http://seminariomatematico.dm.unito.it/rendiconti/cartaceo/49-s/163.pdf
BibTeX
Hackbusch, Wolfgang (ed.): Parallel algorithms for partial differential equations : proceedings of the sixth GAMM-seminar, Kiel, Germany, January 19-21, 1990
Braunschweig : Vieweg, 1991. - 255 p.
(Notes on numerical fluid mechanics ; 31)
ISBN 3-528-07631-3
BibTeX
Hackbusch, Wolfgang: Iterative Lösung großer schwachbesetzter Gleichungssysteme
Stuttgart : Teubner, 1991. - 382 p.
(Teubner Studienbücher : Mathematik ; 69)
ISBN 3-519-02372-5
BibTeX
Hackbusch, Wolfgang and Ulrich Trottenberg (eds.): Multigrid methods III : proceedings of the third european conference, held in Bonn, Germany, on October 1-4, 1990
Basel : Birkhäuser, 1991. - IX, 394 p.
(International series of numerical mathematics ; 98)
ISBN 0-8176-2632-8 ISBN 3-7643-2632-8
BibTeX
Hackbusch, Wolfgang: The panel clustering method for BEM
In: Discretization methods in structural mechanics : IUTAM/IACM symposium Vienna/Austria, 5.-9.6.1989 / Günther Kuhn... (eds.)
Berlin : Springer, 1990. - P. 299-306
(International union of theoretical and applied mechanics)
BibTeX
Hackbusch, Wolfgang and Rolf Rannacher (eds.): Numerical treatment of the Navier-Stokes equations : proceedings of the fifth GAMM-seminar, Kiel/Germany, January 20-22, 1989
Braunschweig : Vieweg, 1990. - VII, 166 p.
(Notes on numerical fluid mechanics ; 30)
ISBN 3-528-07630-5
BibTeX
Hackbusch, Wolfgang: The frequency decomposition multi-grid method as new approach to robust solvers
In: Proceedings of the 9th conference on problems and methods in mathematical physics : 9. TMP, held in Karl-Marx-Stadt 1988, June 27 - July 1 / Frieder Kuhnert... (eds.)
Leipzig : Teubner, 1989. - P. 76-83
(Teubner-Texte zur Mathematik ; 111)
BibTeX
Hackbusch, Wolfgang: New approaches to the panel method
In: Finite approximations in fluid mechanics II : DFG priority research programme results, 1986-1988 / Ernst H. Hirschel (ed.)
Braunschweig : Vieweg, 1989. - P. 157-160
(Notes on numerical fluid mechanics ; 25)
BibTeX
Hackbusch, Wolfgang: The frequency decomposition multi-grid algorithm
In: Robust multi-grid methods : proceedings of the fourth GAMM-seminar, Kiel, January 22 to 24, 1988 / Wolfgang Hackbusch (ed.)
Braunschweig : Vieweg, 1989. - P. 96-104
(Notes on numerical fluid mechanics ; 23)
BibTeX
Hackbusch, Wolfgang: The panel clustering method for the BEM
In: Algorithms 89 : 10-th symposium on algorithms : proceedings of lectures ; April 17-21, 1989 Vysoké Tatry - Strbské Pleso
Bratislava : Jednota sloven. matemat. a fyzikov SAV-OSVS, 1989. - P. 107-112
BibTeX
Hackbusch, Wolfgang: On first and second order box schemes
In: Computing, 41 (1989) 4, p. 277-296
DOI: 10.1007/BF02241218
BibTeX
Hackbusch, Wolfgang: The frequency decomposition multi-grid method - Part I : Application to anisotropic equations
In: Numerische Mathematik, 56 (1989) 2/3, p. 229-245
DOI: 10.1007/BF01409786
BibTeX
Hackbusch, Wolfgang: Integralgleichungen : Theorie und Numerik
Stuttgart : B.G. Teubner, 1989. - 374 p.
(Teubner Studienbücher : Mathematik ; 68)
BibTeX
Hackbusch, Wolfgang (ed.): Robust multi-grid methods : proceedings of the fourth GAMM-seminar, Kiel, January 22 to 24, 1988
Braunschweig : Vieweg, 1989. - 243 p.
(Notes on numerical fluid mechanics ; 23)
ISBN 3-528-08097-3
BibTeX
Hackbusch, Wolfgang and Sigrid Hagemann: Frequency decomposition multi-grid methods for hyperbolic problems
In: Nonlinear hyperbolic equations, theory, computation methods, and applications : proceedings of the second international conference on nonlinear hyperbolic problems, Aachen, FRG, March 14 to 18, 1988 / Josef Ballmann... (eds.)
Braunschweig : Vieweg, 1989. - P. 209-217
(Notes on numerical fluid mechanics ; 24)
BibTeX
Hackbusch, Wolfgang and Zenon Paul Nowak: On the fast matrix multiplication in the boundary element method by panel clustering
In: Numerische Mathematik, 54 (1989) 4, p. 463-491
DOI: 10.1007/BF01396324
BibTeX
Hackbusch, Wolfgang and Arnold Reusken: On global multigrid convergence for nonlinear problems
In: Robust multi-grid methods : proceedings of the fourth GAMM-seminar, Kiel, January 22 to 24, 1988 / Wolfgang Hackbusch (ed.)
Braunschweig : Vieweg, 1989. - P. 105-113
(Notes on numerical fluid mechanics ; 23)
BibTeX
Hackbusch, Wolfgang and Arnold Reusken: Analysis of a damped nonlinear multilevel method
In: Numerische Mathematik, 55 (1989) 2, p. 225-246
DOI: 10.1007/BF01406516
BibTeX
Ballmann, Josef ; Eppler, Richard and Wolfgang Hackbusch (eds.): Panel methods in fluid mechanics with emphasis on aerodynamics : proceedings of the third GAMM-seminar, Kiel/FRG, January 16th to 18th, 1987
Braunschweig : Vieweg, 1988. - 262 p.
(Notes on numerical fluid mechanics ; 21)
ISBN 3-528-08095-7
BibTeX
Hackbusch, Wolfgang: A new multi-grid method
In: Proceedings of the second international symposium on numerical analysis (ISNA), Prague, August 24-28, 1987 / Ivo Marek (ed.)
Leipzig : Teubner, 1988. - P. 59-69
(Teubner-Texte zur Mathematik ; 107)
BibTeX
Hackbusch, Wolfgang: A new approach to robust multi-grid solvers
In: Proceedings of the first international conference on industrial and applied mathematics : ICIAM, Paris, 1987 / James McKenna... (eds.)
Philadelphia, PA : SIAM, 1988. - P. 114-126
BibTeX
Hackbusch, Wolfgang: The frequency decomposition multi-grid method
In: Wissenschaftliche Beiträge / Ingenieurhochschule Wismar, 13 (1988) 5.I, p. 36-47
BibTeX
Hackbusch, Wolfgang: Multi-grid methods and applications = Duo chong wang ge fang fa
Beijing : Ke xue chu ban she, 1988
ISBN 7-03-000603-8
BibTeX
Nowak, Zenon Paul and Wolfgang Hackbusch: O cloznosti metoda panelej
In: Vychislitel'nye protsessy i sistemy, 6 (1988), p. 233-244
BibTeX
Hackbusch, Wolfgang: The panel clustering technique for the boundary element method (invited contribution)
In: Boundary elements IX : 9th international conference on boundary elements at the University of Stuttgart, Germany, from August 31 - September 4, 1987 ; Vol. 1 Mathematical and computational aspects / Carlos A. Brebbia (ed.)
Southhampton : Comput. Mechanics Publ., 1987. - P. 463-474
BibTeX
Hackbusch, Wolfgang and Kristian Witsch (eds.): Numerical techniques in continuum mechanics : proceedings of the second GAMM-seminar, Kiel, January 17 to 19, 1986
Braunschweig : Vieweg, 1987. - VI, 124 p.
(Notes on numerical fluid mechanics ; 16)
ISBN 3-528-08091-4
BibTeX
Hackbusch, Wolfgang: Theorie und Numerik elliptischer Differentialgleichungen : mit Beispielen und Übungsaufgaben
Stuttgart : Teubner, 1986. - 276 p.
(Teubner-Studienbücher : Mathematik)
ISBN 3-519-02074-2
BibTeX
Hackbusch, Wolfgang and Zenon Paul Nowak: Multigrid methods for calculating the lifting potential incompressible flows around three-dimensional bodies
In: Multigrid methods II : proceedings of the 2nd european conference on multigrid methods held at Cologne (Federal Republic of Germany), October 1-4, 1985 / Wolfgang Hackbusch... (eds.)
Berlin : Springer, 1986. - P. 135-148
(Lecture notes in mathematics ; 1228)
DOI: 10.1007/BFb0072645
BibTeX
Hackbusch, Wolfgang and Zenon Paul Nowak: A multi-level discretization and solution method for potential flow problems in three dimensions
In: Finite approximations in fluid mechanics : DFG priority research programme results, 1983-1985 / Ernst H. Hirschel (ed.)
Braunschweig : Vieweg, 1986. - P. 71-89
(Notes on numerical fluid mechanics ; 14)
BibTeX
Braess, Dietrich ; Hackbusch, Wolfgang and Ulrich Trottenberg (eds.): Advances in multi-grid methods : proceedings of the conference held in Oberwolfach, December 8 to 13, 1984
Braunschweig : Vieweg, 1985. - VII, 120 p.
(Notes on numerical fluid mechanics ; 11)
ISBN 3-528-08085-x
BibTeX
Hackbusch, Wolfgang: Multigrid methods of the second kind
In: Multigrid methods for integral and differential equations : based on lectures at a summer school / workshop held at Burwalls Conference Centre, University of Bristol, England, September 1983 / D. J. Paddon... (eds.)
Oxford : Clarendon Press, 1985. - P. 11-83
(The institute of mathematics and its applications conference series / new series ; 3)
BibTeX
Hackbusch, Wolfgang: Multi-grid eigenvalue computation
In: Advances in multi-grid methods : proceedings of the conference held in Oberwolfach, December 8 to 13, 1984 / Dietrich Braess... (eds.)
Braunschweig : Vieweg, 1985. - P. 24-32
(Notes on numerical fluid mechanics ; 11)
BibTeX
Hackbusch, Wolfgang: Schnelle Löser für partielle Differentialgleichungen
In: Praxis der Mathematik : PM, 27 (1985) 8, p. 478-501
BibTeX
Hackbusch, Wolfgang: Multi-grid methods and applications
Berlin [u.a.] : Springer, 1985. - XIV, 377 p.
(Springer series in computational mathematics ; 4)
ISBN 978-3-540-12761-1 ISBN 3-540-12761-5 ISBN 0-387-12761-5
BibTeX
Hackbusch, Wolfgang and Ulrich Trottenberg (eds.): Multigrid methods II : proceedings of the 2nd european conference on multigrid methods held at Cologne (Federal Republic of Germany), October 1-4, 1985
Berlin : Springer, 1986. - VI, 335 p.
(Lecture notes in mathematics ; 1228)
ISBN 0-387-17198-3 ISBN 3-540-17198-3 ISBN 978-3-540-17198-0
DOI: 10.1007/BFb0072636
BibTeX
Hackbusch, Wolfgang: Mehrgitterverfahren für elliptische Randwertaufgaben
In: Probleme und Methoden der mathematischen Physik : 8. Tagung, Karl-Marx-Stadt, 20. - 24. Juni 1983 / Volkmar Friedrich (ed.)
Leipzig : Teubner, 1984. - P. 83-90
(Teubner-Texte zur Mathematik ; 63)
BibTeX
Hackbusch, Wolfgang: Parabolic multi-grid methods
In: Computing methods in applied sciences and engineering VI : proceedings of the sixth international symposium on computing methods in applied sciences and engineering, Versailles, France, December 12-16, 1983 / Roland Glowinski (ed.)
Amsterdam : Elsevier, 1984. - P. 189-197
BibTeX
Hackbusch, Wolfgang: Local defect correction method and domain decomposition techniques
In: Computing / Supplementum, 5 (1984), p. 89-113
BibTeX
Hackbusch, Wolfgang: Multigrid convergence for a singular perturbation problem
In: Linear algebra and its applications, 58 (1984), p. 125-145
DOI: 10.1016/0024-3795(84)90208-8
BibTeX
Hackbusch, Wolfgang: Multi-grid solutions to linear and nonlinear eigenvalue problems for integral and differential equations
In: Rostocker Mathematisches Kolloquium, 25 (1984), p. 79-98
BibTeX
Hackbusch, Wolfgang (ed.): Efficient solutions of elliptic systems : proceedings of the GAMM-seminar held in Kiel, January 27-29, 1984
Braunschweig : Vieweg, 1984. - II, 154 p.
(Proceedings of the Annual GAMM Seminar ; 10)
ISBN 3-528-08084-1
BibTeX
Hackbusch, Wolfgang and Thomas Will: A numerical method for a parabolic bang-bang problem
In: Optimal control of partial differential equations : conference held at the Mathematisches Forschungs-institut, Oberwolfach, December 5-11, 1982 / Karl-Heinz Hoffmann... (eds.)
Basel : Birkhäuser, 1984. - P. 92-109
(International series of numerical mathematics ; 68)
BibTeX
Braess, Dietrich and Wolfgang Hackbusch: A new convergence proof for the multigrid method including the V-cycle
In: SIAM journal on numerical analysis, 20 (1983) 5, p. 967-975
DOI: 10.1137/0720066
BibTeX
Hackbusch, Wolfgang: Introduction to multi-grid methods for the numerical solution of boundary value problems
In: Computational methods for turbulent, transonic, and viscous flows, Karman Inst. 1981 / J. A. Essers (ed.)
Washington : Hemisphere Publishing Corp., 1983. - P. 45-92
BibTeX
Hackbusch, Wolfgang: On the regularity of difference schemes Part II : Regularity estimates for linear and nonlinear problems
In: Arkiv för matematik, 21 (1983) 1/2, p. 3-28
DOI: 10.1007/BF02384298
BibTeX
Hackbusch, Wolfgang and Hans D. Mittelmann: On multi-grid methods for variational inequalities
In: Numerische Mathematik, 42 (1983) 1, p. 65-76
DOI: 10.1007/BF01400918
BibTeX
Hackbusch, Wolfgang and Thomas Will: A numerical method for a parabolic bang-bang problem
In: Control and cybernetics, 12 (1983) 3/4, p. 99-116
BibTeX
Hackbusch, Wolfgang: Multi-grid convergence theory
In: Multigrid methods : proceedings of the conference held at Köln-Porz, November 23-27, 1981 / Wolfgang Hackbusch... (eds.)
Berlin : Springer, 1982. - P. 177-219
(Lecture notes in mathematics ; 960)
DOI: 10.1007/BFb0069929
BibTeX
Hackbusch, Wolfgang: On multi-grid iterations with defect correction
In: Multigrid methods : proceedings of the conference held at Köln-Porz, November 23-27, 1981 / Wolfgang Hackbusch... (eds.)
Berlin : Springer, 1982. - P. 461-473
(Lecture notes in mathematics ; 960)
DOI: 10.1007/BFb0069938
BibTeX
Hackbusch, Wolfgang: Multigrid solution of continuation problems
In: Iterative solution of nonlinear systems of equations : proceedings of a meeting held at Oberwolfach, Germany, January 31 - February 5, 1982 / Rainer Ansorge... (eds.)
Berlin : Springer, 1982. - P. 20-45
(Lecture notes in mathematics ; 953)
DOI: 10.1007/BFb0069372
BibTeX
Hackbusch, Wolfgang: Analysis of discretizations by the concept of discrete regularity
In: The mathematics of finite elements and applications IV : MAFELAP 1981 / J. R. Whiteman (ed.)
London : Academic Press, 1982. - P. 369-376
BibTeX
Hackbusch, Wolfgang: A note on the penalty correction method
In: Zeitschrift fuer Analysis und ihre Anwendungen, 1 (1982) 2, p. 59-69
DOI: 10.4171/ZAA/14
BibTeX
Hackbusch, Wolfgang and Ulrich Trottenberg (eds.): Multigrid methods : proceedings of the conference held at Köln-Porz, November 23-27, 1981
Berlin : Springer, 1982. - VII, 652 p.
(Lecture notes in mathematics ; 960)
ISBN 0-387-11955-8 ISBN 3-540-11955-8 ISBN 978-3-540-11955-5
DOI: 10.1007/BFb0069927
BibTeX
Hackbusch, Wolfgang: Numerical solution of linear and nonlinear parabolic control problems
In: Optimization and optimal control : proceedings of a conference, held at Oberwolfach, March 16 - 22, 1980 / A. Auslender... (eds.)
Berlin : Springer, 1981. - P. 179-185
(Lecture notes in control and information sciences ; 30)
BibTeX
Hackbusch, Wolfgang: Computation of natural convection in an enclosed cavity
In: Numerical solutions for a comparison problem on natural convection in an enclosed cavity / I. P. Jones (ed.)
Harwell, England : AERE, 1981. - P. 62-65
BibTeX
Hackbusch, Wolfgang: Fast numerical solution of time-periodic parabolic problems by a multigrid method
In: SIAM journal on scientific computing, 2 (1981) 2, p. 198-206
DOI: 10.1137/0902017
BibTeX
Hackbusch, Wolfgang: Optimal $H^{p,{p/2}} $ error estimates for a parabolic galerkin method
In: SIAM journal on numerical analysis, 18 (1981) 4, p. 681-692
DOI: 10.1137/0718045
BibTeX
Hackbusch, Wolfgang: Error analysis of the nonlinear multi-grid method of the second kind
In: Aplikace matematiky = Matematicky ústav, 26 (1981) 1, p. 18-29
LINK: http://www.dml.cz/handle/10338.dmlcz/103891
BibTeX
Hackbusch, Wolfgang: On the regularity of difference schemes
In: Arkiv för matematik, 19 (1981) 1/2, p. 71-95
DOI: 10.1007/BF02384470
BibTeX
Hackbusch, Wolfgang: On the convergence of multi-grid iterations
In: Beiträge zur numerischen Mathematik, 9 (1981), p. 213-239
BibTeX
Hackbusch, Wolfgang: Bemerkungen zur iterierten Defektkorrektur und zu ihrer Kombination mit Mehrgitterverfahren
In: Revue roumaine de mathématiques pures et appliquées = Romanian journal of pure and applied mathematics, 26 (1981) 10, p. 1319-1329
BibTeX
Hackbusch, Wolfgang: Die schnelle Auflösung der Fredholmschen Integralgleichung zweiter Art
In: Beiträge zur numerischen Mathematik, 9 (1981), p. 47-62
BibTeX
Hackbusch, Wolfgang: Numerical solution of nonlinear equations by the multigrid iteration of the second kind
In: Numerical methods for non-linear problems : proceedings of the International Conference held at University College, Swansea, 2nd-5th September, 1980 / C. Taylor (ed.)
Swansea : Pineridge Press, 1980. - P. 1041-1050
BibTeX
Hackbusch, Wolfgang: Survey of convergence proofs for multi-grid iterations
In: Special topics of applied mathematics : functional analysis, numerical analysis, and optimization : proceedings of the seminar held at the GMD, Bonn, 8-10 October 1979 / Jens Frehse... (eds.)
Amsterdam : North-Holland Pub., 1980. - P. 151-164
BibTeX
Hackbusch, Wolfgang: The fast numerical solution of very large elliptic difference schemes
In: Journal of the Institute of Mathematics and its Applications, 26 (1980), p. 119-132
DOI: 10.1093/imamat/26.2.119
BibTeX
Hackbusch, Wolfgang: Fast solution of elliptic control problems
In: Journal of optimization theory and applications, 31 (1980) 4, p. 565-581
DOI: 10.1007/BF00934478
BibTeX
Hackbusch, Wolfgang: Convergence of multi-grid iterations applied to difference equations
In: Mathematics of computation, 34 (1980) 150, p. 425-440
LINK: http://www.jstor.org/stable/2006094
BibTeX
Hackbusch, Wolfgang and Götz Hofmann: Results of the eigenvalue problem for the plate equation
In: Zeitschrift für Angewandte Mathematik und Physik, 31 (1980), p. 730-739
DOI: 10.1007/BF01594119
BibTeX
Dittrich, Susanne and Wolfgang Hackbusch: A method of characteristics solving the initial-boundary value problem of a hyperbolic differential equation of second order
In: Numerische Mathematik, 34 (1979) 3, p. 217-234
DOI: 10.1007/BF01396700
BibTeX
Hackbusch, Wolfgang: Schnelle numerische Verfahren zur Lösung elliptischer Randwertprobleme und parabolischer Kontrollprobleme
Habilitation, Universität Köln, 1979
BibTeX
Hackbusch, Wolfgang: On the fast solutions of nonlinear elliptic equations
In: Numerische Mathematik, 32 (1979) 1, p. 83-95
DOI: 10.1007/BF01397652
BibTeX
Hackbusch, Wolfgang: On the fast solving of parabolic boundary control problems
In: SIAM journal on control and optimization, 17 (1979) 2, p. 231-244
DOI: 10.1137/0317018
BibTeX
Hackbusch, Wolfgang: On the computation of approximate eigenvalues and eigenfunctions of elliptic operators by means of a multi-grid method
In: SIAM journal on numerical analysis, 16 (1979) 2, p. 201-215
DOI: 10.1137/0716015
BibTeX
Hackbusch, Wolfgang: A fast iterative method solving Poisson's equation in a general region
In: Numerical treatment of differential equations : proceedings of a conference, held at Oberwolfach, July 4-10, 1976 / R. Bulirsch (ed.)
Berlin : Springer, 1978. - P. 51-62
(Lecture notes in mathematics ; 631)
BibTeX
Hackbusch, Wolfgang: A fast iterative method for solving Helmholtz's equation in a general region
In: Computers, fast elliptic solvers, and applications : proceedings of the GAMM-Workshop on Fast Solution Methods for the Discretized Poisson Equation, Karlsruhe, 1977 / Ulrich Schumann (ed.)
London : Advance Publications, 1978. - P. 182-188
BibTeX
Hackbusch, Wolfgang: On the multi-grid method applied to difference equations
In: Computing, 20 (1978) 4, p. 291-306
DOI: 10.1007/BF02252378
BibTeX
Hackbusch, Wolfgang: A numerical method for solving parabolic equations with opposite orientations
In: Computing, 20 (1978) 3, p. 229-240
DOI: 10.1007/BF02251947
BibTeX
Hackbusch, Wolfgang: On a method of characteristics for solving a hyperbolic equation of second order
In: Computing, 20 (1978) 1, p. 47-60
DOI: 10.1007/BF02241901
BibTeX
Hackbusch, Wolfgang: A fast numerical method for elliptic boundary value problems with variable coefficients
In: Second GAMM-conference on numerical methods in fluid mechanics : DFVLR, Köln, October 11 to 13, 1977 : proceedings / Ernst H. Hirschel (ed.)
Braunschweig : Vieweg, 1977. - P. 50-57
BibTeX
Hackbusch, Wolfgang: Extrapolation applied to certain discretization methods solving the initial value problem for hyperbolic differential equations
In: Numerische Mathematik, 28 (1977) 2, p. 121-142
DOI: 10.1007/BF01394448
BibTeX
Hackbusch, Wolfgang: Extrapolation to the limit for numerical solutions of hyperbolic equations
In: Numerische Mathematik, 28 (1977) 4, p. 455-474
DOI: 10.1007/BF01404347
BibTeX
Busch, Wolfgang ; Esser, Rüdiger and Wolfgang Hackbusch: Extrapolation applied to the method of characteristics for a first order system of two partial differential equation - Part one : The initial value problem
In: Numerische Mathematik, 24 (1975) 4, p. 331-353
DOI: 10.1007/BF01397373
BibTeX
Hackbusch, Wolfgang: Die Verwendung der Extrapolationsmethode zur numerischen Lösung hyperbolischer Differentialgleichungen
Dissertation, Universität Köln, 1973
BibTeX