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Börm, Steffen

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Author ID: borm.steffen Recent zbMATH articles by "Börm, Steffen"
Published as: Börm, S.; Börm, Steffen
External Links: ORCID · dblp
Documents Indexed: 40 Publications since 2001, including 2 Books

Publications by Year

Citations contained in zbMATH

32 Publications have been cited 408 times in 250 Documents Cited by Year
Introduction to hierarchical matrices with applications. Zbl 1035.65042
Börm, Steffen; Grasedyck, Lars; Hackbusch, Wolfgang
97
2003
Data-sparse approximation by adaptive \({\mathcal H}^2\)-matrices. Zbl 1012.65023
Hackbusch, W.; Börm, S.
49
2002
\(\mathcal H^2\)-matrix approximation of integral operators by interpolation. Zbl 1019.65103
Hackbusch, Wolfgang; Börm, Steffen
34
2002
Hybrid cross approximation of integral operators. Zbl 1104.65120
Börm, Steffen; Grasedyck, Lars
33
2005
Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis. Zbl 1208.65037
Börm, Steffen
27
2010
An introduction to hierarchical matrices. Zbl 1007.65032
Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen
18
2002
Approximation of solution operators of elliptic partial differential equations by \({\mathcal H}\)- and \({\mathcal H}^2\)-matrices. Zbl 1191.65148
Börm, Steffen
17
2010
Approximation of integral operators by variable-order interpolation. Zbl 1076.65121
Börm, Steffen; Löhndorf, Maike; Melenk, Jens M.
15
2005
\(\mathcal H\)-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems. Zbl 1426.76224
Börm, Steffen; Le Borne, Sabine
14
2012
Analysis of tensor product multigrid. Zbl 0973.65118
Börm, S.; Hiptmair, R.
11
2001
\(\mathcal H^2\)-matrix arithmetics in linear complexity. Zbl 1086.65036
Börm, S.
10
2006
Low-rank approximation of integral operators by interpolation. Zbl 1059.65121
Börm, Steffen; Grasedyck, Lars
10
2004
Construction of data-sparse \(\mathcal{H}^2\)-matrices by hierarchical compression. Zbl 1193.65043
Börm, Steffen
9
2009
Approximation of integral operators by \(\mathcal H^2\)-matrices with adaptive bases. Zbl 1082.65139
Börm, S.
8
2005
Multigrid computation of axisymmetric electromagnetic fields. Zbl 0998.65124
Börm, S.; Hiptmair, R.
7
2002
Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices. Zbl 1115.65041
Börm, Steffen
6
2007
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis. Zbl 1375.35098
Börm, Steffen; Melenk, Jens M.
5
2017
Hierarchical quadrature for singular integrals. Zbl 1068.65038
Börm, S.; Hackbusch, W.
5
2005
BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131
Börm, Steffen; Sauter, Stefan A.
5
2005
Directional \(\mathcal{H}^2\)-matrix compression for high-frequency problems. Zbl 06819613
Börm, Steffen
4
2017
Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates. Zbl 1380.65461
Börm, Steffen; Reimer, Knut
4
2013
Adaptive variable-rank approximation of general dense matrices. Zbl 1159.65324
Börm, Steffen
3
2007
Approximation of boundary element operators by adaptive \({\mathcal H}^2\)-matrices. Zbl 1097.65119
Börm, Steffen; Hackbusch, Wolfgang
3
2004
Approximation of integral operators by Green quadrature and nested cross approximation. Zbl 1347.65181
Börm, Steffen; Christophersen, Sven
2
2016
Computing the eigenvalues of symmetric \(\mathcal{H}^2\)-matrices by slicing the spectrum. Zbl 1376.65044
Benner, Peter; Börm, Steffen; Mach, Thomas; Reimer, Knut
2
2013
Numerical methods for eigenvalue problems. Zbl 1254.65046
Börm, Steffen; Mehl, Christian
2
2012
May the singular integrals in BEM be replaced by zero? Zbl 1071.65159
Börm, S.; Krzebek, N.; Sauter, S. A.
2
2005
\(\mathcal H^2\)-matrices – multilevel methods for the approximation of integral operators. Zbl 1070.65124
Börm, Steffen
2
2004
An analysis of a butterfly algorithm. Zbl 1396.65171
Börm, S.; Börst, C.; Melenk, J. M.
1
2017
Low-rank approximation of integral operators by using the Green formula and quadrature. Zbl 1329.65314
Börm, Steffen; Gördes, Jessica
1
2013
\(\mathcal{H}^2\)-matrix compression. Zbl 1315.68111
Börm, Steffen
1
2012
Fast evaluation of boundary integral operators arising from an eddy current problem. Zbl 1117.78312
Börm, S.; Ostrowski, J.
1
2004
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis. Zbl 1375.35098
Börm, Steffen; Melenk, Jens M.
5
2017
Directional \(\mathcal{H}^2\)-matrix compression for high-frequency problems. Zbl 06819613
Börm, Steffen
4
2017
An analysis of a butterfly algorithm. Zbl 1396.65171
Börm, S.; Börst, C.; Melenk, J. M.
1
2017
Approximation of integral operators by Green quadrature and nested cross approximation. Zbl 1347.65181
Börm, Steffen; Christophersen, Sven
2
2016
Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates. Zbl 1380.65461
Börm, Steffen; Reimer, Knut
4
2013
Computing the eigenvalues of symmetric \(\mathcal{H}^2\)-matrices by slicing the spectrum. Zbl 1376.65044
Benner, Peter; Börm, Steffen; Mach, Thomas; Reimer, Knut
2
2013
Low-rank approximation of integral operators by using the Green formula and quadrature. Zbl 1329.65314
Börm, Steffen; Gördes, Jessica
1
2013
\(\mathcal H\)-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems. Zbl 1426.76224
Börm, Steffen; Le Borne, Sabine
14
2012
Numerical methods for eigenvalue problems. Zbl 1254.65046
Börm, Steffen; Mehl, Christian
2
2012
\(\mathcal{H}^2\)-matrix compression. Zbl 1315.68111
Börm, Steffen
1
2012
Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis. Zbl 1208.65037
Börm, Steffen
27
2010
Approximation of solution operators of elliptic partial differential equations by \({\mathcal H}\)- and \({\mathcal H}^2\)-matrices. Zbl 1191.65148
Börm, Steffen
17
2010
Construction of data-sparse \(\mathcal{H}^2\)-matrices by hierarchical compression. Zbl 1193.65043
Börm, Steffen
9
2009
Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices. Zbl 1115.65041
Börm, Steffen
6
2007
Adaptive variable-rank approximation of general dense matrices. Zbl 1159.65324
Börm, Steffen
3
2007
\(\mathcal H^2\)-matrix arithmetics in linear complexity. Zbl 1086.65036
Börm, S.
10
2006
Hybrid cross approximation of integral operators. Zbl 1104.65120
Börm, Steffen; Grasedyck, Lars
33
2005
Approximation of integral operators by variable-order interpolation. Zbl 1076.65121
Börm, Steffen; Löhndorf, Maike; Melenk, Jens M.
15
2005
Approximation of integral operators by \(\mathcal H^2\)-matrices with adaptive bases. Zbl 1082.65139
Börm, S.
8
2005
Hierarchical quadrature for singular integrals. Zbl 1068.65038
Börm, S.; Hackbusch, W.
5
2005
BEM with linear complexity for the classical boundary integral operators. Zbl 1069.65131
Börm, Steffen; Sauter, Stefan A.
5
2005
May the singular integrals in BEM be replaced by zero? Zbl 1071.65159
Börm, S.; Krzebek, N.; Sauter, S. A.
2
2005
Low-rank approximation of integral operators by interpolation. Zbl 1059.65121
Börm, Steffen; Grasedyck, Lars
10
2004
Approximation of boundary element operators by adaptive \({\mathcal H}^2\)-matrices. Zbl 1097.65119
Börm, Steffen; Hackbusch, Wolfgang
3
2004
\(\mathcal H^2\)-matrices – multilevel methods for the approximation of integral operators. Zbl 1070.65124
Börm, Steffen
2
2004
Fast evaluation of boundary integral operators arising from an eddy current problem. Zbl 1117.78312
Börm, S.; Ostrowski, J.
1
2004
Introduction to hierarchical matrices with applications. Zbl 1035.65042
Börm, Steffen; Grasedyck, Lars; Hackbusch, Wolfgang
97
2003
Data-sparse approximation by adaptive \({\mathcal H}^2\)-matrices. Zbl 1012.65023
Hackbusch, W.; Börm, S.
49
2002
\(\mathcal H^2\)-matrix approximation of integral operators by interpolation. Zbl 1019.65103
Hackbusch, Wolfgang; Börm, Steffen
34
2002
An introduction to hierarchical matrices. Zbl 1007.65032
Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen
18
2002
Multigrid computation of axisymmetric electromagnetic fields. Zbl 0998.65124
Börm, S.; Hiptmair, R.
7
2002
Analysis of tensor product multigrid. Zbl 0973.65118
Börm, S.; Hiptmair, R.
11
2001
all top 5

Cited by 420 Authors

19 Börm, Steffen
10 Darve, Eric
9 Le Borne, Sabine
9 Ying, Lexing
8 Hackbusch, Wolfgang
8 Praetorius, Dirk
8 Rebholz, Leo G.
8 Xia, Jianlin
7 Martinsson, Per-Gunnar
6 Gillman, Adrianna
6 Grasedyck, Lars
6 Kressner, Daniel
6 Melenk, Jens Markus
5 Greengard, Leslie F.
5 Xiao, Jinyou
4 Ambikasaran, Sivaram
4 Chaillat, Stéphanie
4 Ho, Kenneth L.
4 Li, Xiaoye Sherry
4 Massei, Stefano
4 Ostrowski, Jörg
4 Robol, Leonardo
4 Sauter, Stefan A.
4 Tausch, Johannes
4 Xiao, Mengying
3 Ferri Aliabadi, Mohammad Hossien
3 Ballani, Jonas
3 Barnett, Alex H.
3 Bebendorf, Mario
3 Benner, Peter
3 Bini, Dario Andrea
3 Carstensen, Carsten
3 Coulier, Pieter
3 de Hoop, Maarten V.
3 Dölz, Jürgen
3 Harbrecht, Helmut
3 Khoromskij, Boris N.
3 Kriemann, Ronald
3 Li, Shengguo
3 Mach, Thomas
3 Oseledets, Ivan V.
3 Pan, Victor Yakovlevich
3 Ravnik, Jure
3 Rouet, François-Henry
3 Tuminaro, Raymond S.
2 Aminfar, AmirHossein
2 Balakrishnan, Venkataramanan
2 Beer, Gernot
2 Benedetti, Ivano
2 Betcke, Timo
2 Boman, Erik G.
2 Börst, Christina
2 Cai, Wei
2 Cambier, Léopold
2 Cauley, Stephen
2 Chen, Chao
2 Chow, Edmond G. W.
2 Ciarlet, Patrick jun.
2 Copeland, Dylan M.
2 Corona, Eduardo
2 Dopico, Froilán M.
2 Espig, Mike
2 Fan, Yuwei
2 Faustmann, Markus
2 Gander, Martin Jakob
2 Gatto, Paolo
2 Gopalakrishnan, Jayadeep
2 Gu, Ming
2 Hesthaven, Jan S.
2 Hiptmair, Ralf
2 Hu, Xiaozhe
2 Jiang, Shidong
2 Jiang, Ying
2 John, Volker
2 Karniadakis, George Em
2 Kitanidis, Peter K.
2 Kurz, Stefan
2 Layton, William J.
2 Li, Yingzhou
2 Lin, Lin
2 Liu, Xiao
2 Meszmer, Peter
2 Müller, Eike Hermann
2 Napov, Artem
2 Oh, Minah
2 Owhadi, Houman
2 Peters, Michael D.
2 Pomés, Kenet
2 Pouransari, Hadi
2 Rajamanickam, Sivasankaran
2 Reimer, Knut
2 Rokhlin, Vladimir
2 Rong, Yao
2 Scheichl, Robert
2 Schmitz, Phillip G.
2 Schöps, Sebastian
2 Škerget, Leopold
2 Tibaut, Jan
2 Venn, Raoul
2 Wang, Shaobo
...and 320 more Authors
all top 5

Cited in 54 Serials

26 Journal of Computational Physics
26 SIAM Journal on Scientific Computing
15 Numerische Mathematik
15 Engineering Analysis with Boundary Elements
14 Computer Methods in Applied Mechanics and Engineering
13 Computing
12 SIAM Journal on Matrix Analysis and Applications
10 Computing and Visualization in Science
9 Mathematics of Computation
9 Journal of Computational and Applied Mathematics
9 Journal of Scientific Computing
7 Numerical Linear Algebra with Applications
5 Applied Numerical Mathematics
5 Linear Algebra and its Applications
4 Journal of Mathematical Analysis and Applications
4 Computational Mechanics
4 Advances in Computational Mathematics
3 Computers & Mathematics with Applications
3 Communications on Pure and Applied Mathematics
3 BIT
3 International Journal for Numerical Methods in Engineering
3 Numerical Algorithms
3 Applied and Computational Harmonic Analysis
3 Journal of Numerical Mathematics
2 Applied Mathematics and Computation
2 COMPEL
2 SIAM Review
2 Multiscale Modeling & Simulation
2 Mathematical Geosciences
2 Research in the Mathematical Sciences
1 International Journal of Solids and Structures
1 Inverse Problems
1 Journal of Engineering Mathematics
1 ACM Transactions on Mathematical Software
1 Calcolo
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Zeitschrift für Analysis und ihre Anwendungen
1 Bulletin of the Iranian Mathematical Society
1 Constructive Approximation
1 Journal of Integral Equations and Applications
1 Journal of Mathematical Imaging and Vision
1 Journal of Mathematical Sciences (New York)
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Vietnam Journal of Mathematics
1 Computational Geosciences
1 International Journal of Computational Methods
1 GAMM-Mitteilungen
1 SIAM Journal on Imaging Sciences
1 S\(\vec{\text{e}}\)MA Journal
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 SIAM/ASA Journal on Uncertainty Quantification

Citations by Year