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1

Numerical Methods for Eigenvalue Problems () || Chapter 4. Power methods

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 625 KB

english, 2012

2

Low-rank approximation of integral operators by using the Green formula and quadrature

Steffen Börm, Jessica Gördes

Journal:

Numerical Algorithms

Year:

2013

Language:

english

File:

PDF, 608 KB

english, 2013

3

ℋ-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems

Steffen Börm, Sabine Le Borne

Journal:

International Journal for Numerical Methods in Fluids

Year:

2012

Language:

english

File:

PDF, 246 KB

english, 2012

4

Data-sparse approximation of non-local operators by -matrices

Journal:

Linear Algebra and its Applications

Year:

2007

Language:

english

File:

PDF, 271 KB

english, 2007

5

H2-matrix approximation of integral operators by interpolation

Wolfgang Hackbusch, Steffen Börm

Journal:

Applied Numerical Mathematics

Year:

2002

Language:

english

File:

PDF, 239 KB

english, 2002

6

Introduction to hierarchical matrices with applications

Steffen Börm, Lars Grasedyck, Wolfgang Hackbusch

Journal:

Engineering Analysis with Boundary Elements

Year:

2003

Language:

english

File:

PDF, 330 KB

english, 2003

7

A short overview of ℋ2-matrices

Steffen Börm, Wolfgang Hackbusch

Journal:

Year:

2003

Language:

english

File:

PDF, 438 KB

english, 2003

8

Approximation of Integral Operators by Variable-Order Interpolation

Steffen Börm, Maike Löhndorf, Jens M. Melenk

Journal:

Numerische Mathematik

Year:

2005

Language:

english

File:

PDF, 310 KB

english, 2005

9

Hybrid cross approximation of integral operators

Steffen Börm, Lars Grasedyck

Journal:

Numerische Mathematik

Year:

2005

Language:

english

File:

PDF, 403 KB

english, 2005

10

Approximation of solution operators of elliptic partial differential equations by({mathcal{H}})- and({mathcal{H}^2})-matrices

Journal:

Numerische Mathematik

Year:

2010

Language:

english

File:

PDF, 354 KB

english, 2010

11

Low-Rank Approximation of Integral Operators by Interpolation

Steffen Börm, Lars Grasedyck

Journal:

Year:

2004

Language:

english

File:

PDF, 271 KB

english, 2004

12

Tensor Product Multigrid for Maxwell's Equation with Aligned Anisotropy

Journal:

Year:

2001

Language:

english

File:

PDF, 196 KB

english, 2001

13

ℋ2-matrices – Multilevel methods for the approximation of integral operators

Journal:

Computing and Visualization in Science

Year:

2004

Language:

english

File:

PDF, 364 KB

english, 2004

14

Distributed({{mathcal H}^2})-matrices for non-local operators

Steffen Börm, Joana Bendoraityte

Journal:

Computing and Visualization in Science

Year:

2008

Language:

english

File:

PDF, 476 KB

english, 2008

15

Construction of Data-Sparse $\mathcal{H}^2$-Matrices by Hierarchical Compression

Journal:

SIAM Journal on Scientific Computing

Year:

2009

Language:

english

File:

PDF, 274 KB

english, 2009

16

Adaptive Variable-Rank Approximation of General Dense Matrices

Journal:

SIAM Journal on Scientific Computing

Year:

2008

Language:

english

File:

PDF, 265 KB

english, 2008

17

A Galerkin Approach for Solving Matrix Equations with Hierarchical Matrices

Boysen, Dirk, Börm, Steffen

Journal:

Year:

2013

Language:

english

File:

PDF, 193 KB

english, 2013

18

Variability in Quartz Exposure in the Construction Industry: Implications for Assessing Exposure-Response Relations

Nij, Evelyn Tjoe, Höhr, Doris, Borm, Paul, Burstyn, Igor, Spierings, Judith, Steffens, Friso, Lumens, Mieke, Spee, Ton, Heederik, Dick

Journal:

Journal of Occupational and Environmental Hygiene

Year:

2004

Language:

english

File:

PDF, 1.37 MB

english, 2004

19

Computing the eigenvalues of symmetric\({\fancyscript{H}}^2\)-matrices by slicing the spectrum

Benner, Peter, Börm, Steffen, Mach, Thomas, Reimer, Knut

Journal:

Computing and Visualization in Science

Year:

2013

Language:

english

File:

PDF, 488 KB

english, 2013

20

Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates

Börm, Steffen, Reimer, Knut

Journal:

Computing and Visualization in Science

Year:

2013

Language:

english

File:

PDF, 227 KB

english, 2013

21

BEM with Linear Complexity for the Classical Boundary Integral Operators

Steffen Börm and Stefan A. Sauter

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 882 KB

english, 2005

22

Approximation of integral operators by Green quadrature and nested cross approximation

Börm, Steffen, Christophersen, Sven

Journal:

Numerische Mathematik

Year:

2016

Language:

english

File:

PDF, 1016 KB

english, 2016

23

Numerical Methods for Eigenvalue Problems () || Chapter 6. Bisection methods

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 305 KB

english, 2012

24

Numerical Methods for Eigenvalue Problems () || Chapter 3. Jacobi iteration

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 417 KB

english, 2012

25

Numerical Methods for Eigenvalue Problems () || Bibliography

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 142 KB

english, 2012

26

Numerical Methods for Eigenvalue Problems () || Chapter 5. QR iteration

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 479 KB

english, 2012

27

Numerical Methods for Eigenvalue Problems () || Chapter 2. Existence and properties of eigenvalues and eigenvectors

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 498 KB

english, 2012

28

Numerical Methods for Eigenvalue Problems () || Frontmatter

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 253 KB

english, 2012

29

Numerical Methods for Eigenvalue Problems () || Chapter 8. Generalized and polynomial eigenvalue problems

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 392 KB

english, 2012

30

Numerical Methods for Eigenvalue Problems () || Chapter 7. Krylov subspace methods for large sparse eigenvalue problems

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 864 KB

english, 2012

31

Numerical Methods for Eigenvalue Problems () || Preface

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 77 KB

english, 2012

32

Numerical Methods for Eigenvalue Problems () || Index

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 86 KB

english, 2012

33

Numerical Methods for Eigenvalue Problems () || Chapter 1. Introduction

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 230 KB

english, 2012

34

Numerical Methods for Eigenvalue Problems () || Contents

Börm, Steffen, Mehl, Christian

Year:

2012

Language:

english

File:

PDF, 68 KB

english, 2012

35

Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis

Börm, Steffen, Melenk, Jens M.

Journal:

Numerische Mathematik

Year:

2017

Language:

english

File:

PDF, 807 KB

english, 2017

36

Directional H2-matrix compression for high-frequency problems

Journal:

Numerical Linear Algebra with Applications

Year:

2017

Language:

english

File:

PDF, 711 KB

english, 2017

37

Adaptive compression of large vectors

Journal:

Mathematics of Computation

Year:

2017

Language:

english

File:

PDF, 418 KB

english, 2017

38

-matrices

Hertel, Riccardo, Christophersen, Sven, Börm, Steffen

Journal:

Journal of Magnetism and Magnetic Materials

Year:

2019

Language:

english

File:

PDF, 1.46 MB

english, 2019

39

-LU Factorization

Carratalá-Sáez, Rocío, Christophersen, Sven, Aliaga, José I., Beltran, Vicenç, Börm, Steffen, Quintana-Ortí, Enrique S.

Journal:

Journal of Computational Science

Year:

2019

File:

PDF, 1.07 MB

2019

40

Mini-Workshop: Fast Solvers for Highly Oscillatory Problems

Betcke, Timo, Börm, Steffen, Le Borne, Sabine, Martinsson, Per-Gunnar

Journal:

Oberwolfach Reports

Year:

2017

Language:

english

File:

PDF, 2.76 MB

english, 2017

41

Hierarchical matrix arithmetic with accumulated updates

Journal:

Computing and Visualization in Science

Year:

2019

Language:

english

File:

PDF, 917 KB

english, 2019

42

-LU factorization” [J. Comput. Sci. 33 (2019) 20–33]

Carratalá-Sáez, Rocío, Christophersen, Sven, Aliaga, José I., Beltran, Vicenç, Börm, Steffen, Quintana-Ortí, Enrique S.

Journal:

Journal of Computational Science

Year:

2019

Language:

english

File:

PDF, 208 KB

english, 2019