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Chair of Applied and Numerical Analysis – Prof. Dr. Holger Wendland

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Overview
Overview
holger_wendland Prof. Dr. Holger Wendland
holger_wendland

Faculty of Mathematics, Physics and Computer Sciences
Chair of Applied and Numerical Analysis


Curriculum Vitae

Employment History

01/2012 -Professor (Chair) of Applied and Numerical Analysis, University of Bayreuth, Germany.
10/2009 - 12/2011Professor of Numerical Analysis and Fellow of Exeter College, University of Oxford, England.
02/2007 - 09/2009Professor (Chair) of Applied Mathematics, University of Sussex, England.
10/2006 - 01/2007Reader in Applied Mathematics, University of Sussex, England.
10/2005 - 02/2006Acting Full Professor of Scientific Computing (W3), TU Dresden, Germany.
07/2005 - 06/2006Consulting Software Development, MSC.Software Corporation.
11/2002 - 10/2006Assistant/Associate Professor (C2), University of Göttingen, Germany.
01/2000 - 05/2000Visiting Assistant Professor, Texas A&M University, USA.
03/1999 - 11/2002Scientific Assistent (C1), University of Göttingen, Germany.
08/1995 - 10/1998Research Assistent, University of Göttingen.


Academic History

14.06.2002Habilitation in Mathematics, University of Göttingen, Germany.
20.06.1996PhD (Summa Cum Laude) in Mathematics, University of Göttingen, Germany.
01.07.1994Diploma (With Distinction) in Mathematics, University of Göttingen, Germany.
1989 - 1994Student of Mathematics and Computer Science, University of Göttingen, Germany.


Positions offered

05/2011Professor (Chair) of Applied Mathematics (W3), Technische Universität Hamburg-Harburg, Germany.
03/2011Professor (Chair) of Applied Mathematics (W3), Universität Köln, Germany.
12/2010Professor (Chair) of Applied Mathematics (W3) Universität des Saarlandes, Saarbrücken, Germany.
01/2008Professor (Chair) of Numerical Mathematics (W3), FernUniversität Hagen, Germany.
11/2006Professor (Chair) of Applied Mathematics, University of Leicester, England.
04/2006Senior Assistant Professor, Texas A&M University, USA.
02/2006Associate Professor, Illinois Institute for Technology, USA.


Scholarships

11/1998 - 02/1999Postdoc scholarship of Unversitätsbund Göttingen.
01/1995 - 09/1996Ph.D. scholarship of Studienstiftung des deutschen Volkes.

Editor-work

Editor / Associate Editor

  • SIAM Journal on Numerical Analysis, 2018 -
  • Mathematical Methods in the Applied Sciences, 2013 -
  • Numerical Algorithms, 2009 -
  • Dolomite Research Notes on Approximation, 2008 -

International Advisory Board

  • Kuwait Journal of Science, 2018 -

More Information

Personal Homepage

Publikations (complete list)

holger_wendland

Faculty of Mathematics, Physics and Computer Sciences
Chair of Applied and Numerical Analysis


Publications

Book/Monograph

Wendland, Holger
Numerical Linear Algebra : An Introduction
Cambridge : Cambridge University Press, 2017. - X, 408 pp.
doi:10.1017/9781316544938 ...

Wendland, Holger
Scattered Data Approximation
Cambridge : Cambridge University Press, 2010. - X, 336 pp. . - (Cambridge Monographs on Applied and Computational Mathematics; 17)

Schaback, Robert; Wendland, Holger
Numerische Mathematik
Berlin : Springer, 2005
doi:10.1007/b137970 ...

Wendland, Holger
Scattered data approximation
Cambridge : Cambridge University Press, 2005. - X, 336 pp. . - (Cambridge Monographs on Applied and Computational Mathematics; 17)

rev.: AMS MatSciNet

Article in a journal (peer-reviewed)

Giesl, Peter; Wendland, Holger
Construction of a contraction metric by meshless collocation
in Discrete and Continuous Dynamical Systems. Series B vol. 24 (2019) issue 8. - pp. 3843-3863
doi:10.3934/dcdsb.2018333 ...

Künemund, Jens; Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
A high-order meshless Galerkin method for semilinear parabolic equations on spheres
in Numerische Mathematik vol. 142 (2019) . - pp. 383-419
doi:10.1007/s00211-018-01021-7 ...

Franz, Tino; Wendland, Holger
Convergence of the smoothed particle hydrodynamics method for a specific barotropic fluid ...
in SIAM Journal on Mathematical Analysis vol. 50 (2018) issue 5. - pp. 4752-4784
doi:10.1137/17M1157696 ...

Ramming, Tobias; Wendland, Holger
A kernel-based discretisation method for first order partial differential equations
in Mathematics of Computation vol. 87 (2018) . - pp. 1757-1781
doi:10.1090/mcom/3265 ...

Giesl, Peter; Wendland, Holger
Kernel-based discretization for solving matrix-valued PDEs
in SIAM Journal on Numerical Analysis vol. 56 (2018) issue 6. - pp. 3386-3406
doi:10.1137/16M1092842 ...

Rieger, Christian; Wendland, Holger
Sampling inequalities for sparse grids
in Numerische Mathematik vol. 136 (2017) issue 2. - pp. 439-466
doi:10.1007/s00211-016-0845-7 ...
rev.: AMS MatSciNet

Farrell, Patricio; Gillow, Kathryn; Wendland, Holger
Multilevel Interpolation of Divergence-Free Vector Fields
in IMA Journal of Numerical Analysis vol. 37 (2017) issue 1. - pp. 332-353
doi:10.1093/imanum/drw006 ...

Le Gia, Q. T.; Sloan, I. H.; Wendland, Holger
Zooming from Global to Local : A Multiscale RBF Approach
in Advances in Computational Mathematics vol. 43 (2017) . - pp. 581-606
doi:10.1007/s10444-016-9498-4 ...

Keim, Christopher; Wendland, Holger
A High-order, analytically divergence-free approximation method for the time-dependent Sto ...
in SIAM Journal on Numerical Analysis vol. 54 (2016) issue 2. - pp. 1288-1312
doi:10.1137/151006196 ...

Le Gia, Q. T.; Wendland, Holger
Data compression on the sphere using multiscale radial basis function approximation
in Advances in Computational Mathematics vol. 40 (2014) . - pp. 923-943
doi:10.1007/s10444-013-9334-z ...

Wendland, Holger
A high-order approximation method for semilinear parabolic equations on spheres
in Mathematics of Computation vol. 82 (2013) . - pp. 227-245
doi:10.1090/S0025-5718-2012-02623-8 ...

Townsend, Alex; Wendland, Holger
Multiscale analysis in Sobolev spaces on bounded domains with zero boundary values
in IMA Journal of Numerical Analysis vol. 33 (2013) issue 3. - pp. 1095-1114
doi:10.1093/imanum/drs036 ...
rev.: AMS MatSciNet

Farrell, Patricio; Wendland, Holger
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems
in SIAM Journal on Numerical Analysis vol. 51 (2013) issue 4. - pp. 2403-2425
doi:10.1137/120898383 ...

Le Gia, Q. T.; Sloan, I. H.; Wendland, Holger
Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis ...
in Applied and Computational Harmonic Analysis vol. 32 (2012) issue 3. - pp. 401-412
doi:10.1016/j.acha.2011.07.007 ...
rev.: AMS MatSciNet

Le Gia, Q. T.; Sloan, I. H.; Wendland, Holger
Multiscale RBF collocation for solving PDEs on spheres
in Numerische Mathematik vol. 121 (2012) issue 1. - pp. 99-125
doi:10.1007/s00211-011-0428-6 ...
rev.: AMS MatSciNet

Wendland, Holger; Giesl, Peter
Numerical determination of the basin of attraction of asymptotically autonomous dynamical ...
in Nonlinear Analysis : Theory, Methods & Applications vol. 75 (2012) issue 5. - pp. 2823-2840
doi:10.1016/j.na.2011.11.027 ...

Schräder, Daniela; Wendland, Holger
An extended error analysis for a meshfree discretization method of Darcy's problem
in SIAM Journal on Numerical Analysis vol. 50 (2012) issue 2. - pp. 838-857
doi:10.1137/100806461 ...
rev.: AMS MatSciNet

Wendland, Holger; Giesl, Peter
Numerical determination of the basin of attraction for exponentially asymptotically autono ...
in Nonlinear Analysis : Theory, Methods & Applications vol. 74 (2011) issue 10. - pp. 3191-3202
doi:10.1016/j.na.2011.01.032 ...

Schräder, Daniela; Wendland, Holger
A high-order, analytically divergence-free discretization method for Darcy's problem
in Mathematics of Computation vol. 80 (2011) issue 273. - pp. 263-277
doi:10.1090/S0025-5718-2010-02388-9 ...

Wendland, Holger
Multiscale analysis of Sobolev spaces on bounded domains
in Numerische Mathematik vol. 116 (2010) issue 3. - pp. 493-517
doi:10.1007/s00211-010-0313-8 ...
rev.: AMS MatSciNet

Wendland, Holger; Le Gia, Quoc T.; Sloan, Ian H.
Multiscale analysis in Sobolev spaces on the sphere
in SIAM Journal on Numerical Analysis vol. 48 (2010) issue 6. - pp. 2065-2090
doi:10.1137/090774550 ...

Giesl, Peter; Wendland, Holger
Approximating the basin of attraction of time-periodic ODEs by meshless collocation
in Discrete and Continuous Dynamical Systems. Series A vol. 25 (2009) issue 4. - pp. 1249-1274
doi:10.3934/dcds.2009.25.1249 ...

Giesl, Peter; Wendland, Holger
Approximating the basin of attraction of time-periodic ODEs by meshless collocation of a C ...
in Discrete and Continuous Dynamical Systems. Series A (2009) issue Supplement. - pp. 259-268
https://aimsciences.org/journals/pdfs.jsp?paperID= ...
rev.: AMS MatSciNet

Wendland, Holger
Divergence-free kernel methods for approximating the Stokes problem
in SIAM Journal on Numerical Analysis vol. 47 (2009) issue 4. - pp. 3158-3179
doi:10.1137/080730299 ...

Sloan, Ian H.; Wendland, Holger
Inf-sup condition for spherical polynomials and radial basis functions on spheres
in Mathematics of Computation vol. 78 (2009) issue 267. - pp. 1319-1331
doi:10.1090/S0025-5718-09-02207-8 ...
rev.: AMS MatSciNet

Wendland, Holger; Krebs, Jochen; Louis, Alfred K.
Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regula ...
in Journal of Inverse and ILL-Posed Problems vol. 17 (2009) issue 9. - pp. 845-869
doi:10.1515/JIIP.2009.050 ...

Rütten, Markus; Alrutz, Thomas; Wendland, Holger
A Vortex axis and vortex core border grid adaptation algorithm
in International Journal for Numerical Methods in Fluids vol. 58 (2008) issue 12. - pp. 1379-1405
doi:10.1002/fld.1792 ...

Dyn, Nira; Iske, Armin; Wendland, Holger
Meshfree thinning of 3D point clouds
in Foundations of Computational Mathematics vol. 8 (2008) issue 4. - pp. 409-425
doi:10.1007/s10208-007-9008-7 ...
rev.: AMS MatSciNet

Ahrem, Regina; Beckert, Armin; Wendland, Holger
Recovering rotations in aeroelasticity
in Journal of Fluids and Structures vol. 23 (2007) issue 6. - pp. 874-884
doi:10.1016/j.jfluidstructs.2007.02.003 ...

Narcowich, Francis J.; Sun, Xingping; Ward, Joseph D.; Wendland, Holger
Direct and inverse Sobolev error estimates for scattered data interpolation via spherical ...
in Foundations of Computational Mathematics vol. 7 (2007) issue 3. - pp. 369-390
doi:10.1007/s10208-005-0197-7 ...
rev.: AMS MatSciNet

Giesl, Peter; Wendland, Holger
Meshless collocation : error estimates with application to dynamical systems
in SIAM Journal Numerical Analysis vol. 45 (2007) issue 4. - pp. 1723-1741
doi:10.1137/060658813 ...
rev.: AMS MatSciNet

Wendland, Holger
On the stability of meshless symmetric collocation for boundary value problems
in BIT Numerical Mathematics vol. 47 (2007) issue 2. - pp. 455-468
doi:10.1007/s10543-007-0121-4 ...
rev.: AMS MatSciNet

Le Gia, Quoc T.; Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
Continuous and discrete least-squares approximation by basis functions on spheres
in Journal of Approximation Theory vol. 143 (2006) issue 1. - pp. 124-133
doi:10.1016/j.jat.2006.03.007 ...

Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
Sobolev error estimates and a Bernstein inequality for scattered data interpolation via ra ...
in Constructive Approximation vol. 24 (2006) issue 2. - pp. 175-186
doi:10.1007/s00365-005-0624-7 ...
rev.: AMS MatSciNet

Ahrem, Regine; Beckert, Armin; Wendland, Holger
A meshless spatial coupling scheme for large-scale fluid-structure-interaction problems
in Computer Modeling in Engineering and Sciences vol. 12 (2006) issue 2. - pp. 121-136
doi:10.3970/cmes.2006.012.121 ...

Schaback, Robert; Wendland, Holger
Kernel techniques : from machine learning to meshless methods
in Acta Numerica vol. 15 (2006) . - pp. 543-639
doi:10.1017/S0962492906270016 ...
rev.: AMS MatSciNet

Wendland, Holger; Rieger, Christian
Approximate interpolation with applications to selecting smoothing parameters
in Numerische Mathematik vol. 101 (2005) issue 4. - pp. 729-748
doi:10.1007/s00211-005-0637-y ...
rev.: AMS MatSciNet

de Marchi, Stefano; Schaback, Robert; Wendland, Holger
Near-optimal data-independent point locations for radial basis function interpolation
in Advances in Computational Mathematics vol. 23 (2005) issue 3. - pp. 317-330
doi:10.1007/s10444-004-1829-1 ...
rev.: AMS MatSciNet

Wendland, Holger
On the convergence of a general class of finite volume methods
in SIAM Journal on Numerical Analysis vol. 43 (2005) issue 3. - pp. 987-1002
doi:10.1137/040612993 ...
rev.: AMS MatSciNet

Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
Sobolev bounds on functions with scattered zeros, with applications to radial basis functi ...
in Mathematics of Computation vol. 74 (2005) . - pp. 743-763
doi:10.1090/S0025-5718-04-01708-9 ...
rev.: AMS MatSciNet

Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
Refined error estimates for radial basis function interpolation
in Constructive Approximation vol. 19 (2003) issue 4. - pp. 541-564
doi:10.1007/s00365-002-0529-7 ...
rev.: AMS MatSciNet

Schaback, Robert; Wendland, Holger
Inverse and saturation theorems for radial basis function interpolation
in Mathematics of Computation vol. 71 (2002) issue 238. - pp. 669-681
doi:10.1090/S0025-5718-01-01383-7 ...
rev.: AMS MatSciNet

Beckert, Armin; Wendland, Holger
Multivariate interpolation for fluid-structure-interaction problems using radial basis fun ...
in Aerospace Science and Technology vol. 5 (2001) issue 2. - pp. 125-134
doi:10.1016/S1270-9638(00)01087-7 ...

Wendland, Holger
Local polynomial reproduction and moving least squares approximation
in IMA Journal of Numerical Analysis vol. 21 (2001) issue 1. - pp. 285-300
doi:10.1093/imanum/21.1.285 ...

Schaback, Robert; Wendland, Holger
Adaptive greedy techniques for approximate solution of large RBF systems
in Numerical Algorithms vol. 24 (2000) issue 3. - pp. 239-254
doi:10.1023/A:1019105612985 ...

Wendland, Holger
Optimal approximation orders in Lp for radial basis functions
in East Journal on Approximations vol. 6 (2000) issue 1. - pp. 87-102

Wendland, Holger
On the smoothness of positive definite and radial functions
in Journal of Computational and Applied Mathematics vol. 101 (1999) issue 1-2. - pp. 177-188
doi:10.1016/S0377-0427(98)00218-0 ...

Wendland, Holger
Meshless Galerkin methods using radial basis functions
in Mathematics of Computation vol. 68 (1999) issue 228. - pp. 1521-1531
doi:10.1090/S0025-5718-99-01102-3 ...

Wendland, Holger
Error estimates for interpolation by compactly supported radial basis functions of minimal ...
in Journal of Approximation Theory vol. 93 (1998) issue 2. - pp. 258-272
doi:10.1006/jath.1997.3137 ...

Wendland, Holger
Piecewise polynomial, positive definite and compactly supported radial basis functions of ...
in Advances in Computational Mathematics vol. 4 (1995) issue 1. - pp. 389-396
doi:10.1007/BF02123482 ...

Article in a book (peer-reviewed)

Kempf, Rüdiger; Wendland, Holger; Rieger, Christian
Kernel-based reconstructions for parametric PDEs
In: Griebel, Michael ; Schweitzer, Marc Alexander (ed.): Meshfree Methods for Partial Differential Equations IX - Cham: Springer, 2019. - pp. 53-71
doi:10.1007/978-3-030-15119-5_4 ...

Giesl, Peter; Argáez, Carlos; Hafstein, Sigurdur; Wendland, Holger
Construction of a complete Lyapunov function using quadratic programming
In: Madani, Kurosh ; Gusikhin, Oleg (ed.): ICINCO 2018 : Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics. Volume 1 - Setúbal: SciTePress, 2018. - pp. 560-568

Wendland, Holger
Solving partial differential equations with multiscale radial basis functions
In: Dick, Josef ; Kuo, Frances Y. ; Wozniakowski, Henryk (ed.): Contemporary Computational Mathematics : A Celebration of the 80th Birthday of Ian Sloan - Cham: Springer, 2018. - pp. 1191-1213
doi:10.1007/978-3-319-72456-0_55 ...

Wendland, Holger
Multiscale radial basis functions
In: Pesenson, Isaac (ed.): Frames and Other Bases in Abstract and Function Spaces : Novel Methods in Harmonic Analysis. Volume 1 - Cham: Birkhäuser, 2017. - pp. 265-299
doi:10.1007/978-3-319-55550-8_12 ...

Wendland, Holger; Rütten, Markus
Performance Enhancement of Auxiliary Air Intakes by Using Vortex Generators
50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition - S.l., 2012
doi:10.2514/6.2012-57 ...

Wendland, Holger
Hybrid methods for fluid-structure-interaction problems in Aeroelasticity
In: Griebel, Michael ; Schweitzer, Marc A. (ed.): Meshfree Methods for Partial Differential Equations IV - Berlin: Springer, 2008. - pp. 335-358 . - (Lecture Notes in Computational Science and Engineering; 65)

Wendland, Holger
Computational aspects of radial basis function approximation
In: Jetter, Kurt (ed.): Topics in multivariate approximation and interpolation - Amsterdam: Elsevier, 2006. - pp. 231-256 . - (Studies in computational mathematics; 12)
doi:10.1016/S1570-579X(06)80010-8 ...
rev.: AMS MatSciNet

Wendland, Holger
Spatial coupling in Aeroelasticity by meshless kernel-based methods
In: Wesseling, Peter ; Oñate, Eugenio ; Périaux, Jacques. (ed.): Proceedings ECCOMAS CFD 2006 : European Conference on Computational Fluid Dynamics - Delft: Univ. of Technology, 2006

Ahrem, R.; Beckert, Armin; Wendland, Holger
A new multivariate interpolation method for large-scale spatial coupling problems in aeroe ...
In: DLRG ; International Forum on Aeroelasticity and Structural Dynamics, IFASD (ed.): Conference Proceedings : Vorträge ; [München, June 28 - July 1, 2005] - Bonn: DGLR, 2005 (DGLR-Bericht; 2005.04)

Wendland, Holger
Spatial coupling in Aeroelasticity by meshless kernel-based methods
In: Neamtu, Marian ; Saff, Edward B. (ed.): Advances in Constructive Approximation : Vanderbilt 2003 - Brentwood, USA: Nashboro Press, 2004

Wendland, Holger
Reconstructing multivariate functions from large data sets
In: Haußmann, Werner (ed.): Modern developments in multivariate approximation : 5th International Conference, Witten-Bommerholz (Germany), September, 2002 - Basel: Birkhäuser, 2003. - pp. 295-308 . - (International Series of Numerical Mathematics; 145)
rev.: AMS MatSciNet

Wendland, Holger; Schaback, Robert
Approximation by positive definite kernels
In: Buhmann, Martin D. ; Mache, Detlef H. (ed.): Advanced Problems in Constructive Approximation - Basel: Birkhäuser, 2002. - pp. 203-221 . - (International Series of Numerical Mathematics; 142)

Wendland, Holger
Fast evaluation of radial basis functions : methods based on partition of unity
In: Chui, Charles K. (ed.): Approximation theory X : [selections of papers that were presented at the Tenth International Conference on Approximation Theory, held in St. Louis, Missouri, in March 2001] - Nashville, Tn: Vanderbilt Univ. Press, 2002. - pp. 473-483
rev.: AMS MatSciNet

Wendland, Holger; Schaback, Robert
Characterization and construction of radial basis functions
In: Dyn, Nira ; Leviatan, D. ; Levin, D. ; Pinkus, A. (ed.): Multivariate Approximation and Applications - Cambridge: Cambridge Univ. Press, 2001. - pp. 1-24

Wendland, Holger
Gaussian interpolation revisited
Trends in approximation theory 2000 : Vanderbild University, Nashville - Nashville: Vanderbilt Univ. Press, Nashville, TN, 2001. - pp. 417-426
rev.: AMS MatSciNet

Wendland, Holger
Moving least squares approximation on the sphere
In: Lyche, Tom ; Schumaker, Larry L. (ed.): Mathematical methods for curves and surfaces : Oslo 2000 - Nashville: Vanderbilt Univ. Press, 2001. - pp. 517-526

Schaback, Robert; Wendland, Holger
Numerical techniques based on radial basis functions
In: Cohen, Albert ; Rabut, Christophe ; Schumaker, Larry L. (ed.): Curve and surface fitting : Saint-Malo 99 - Nashville: Vanderbilt Univ. Press, 2000. - pp. 359-374

Schaback, Robert; Wendland, Holger
Using compactly supported radial basis functions to solve partial differential equations
In: Chen, C. S. ; Brebbia, C. A. ; Pepper, D. W. (ed.): Boundary Element Technology XIII : Incorporating Computational Methods and Testing for Engineering Integrity - Southampton, USA: WIT Press, 1999. - pp. 311-324 . - (Boundary Elements; 2) (WIT Transactions on Modelling and Simulation ; 23)

Wendland, Holger
Numerical solution of variational problems by radial basis functions
In: Chui, Charles K. ; Schumaker, Larry L. (ed.): Approximation Theory IX. Volume 2. Computational Aspects - Nashville, USA: Vanderbilt Univ. Press, 1998. - pp. 361-368

Wendland, Holger
Sobolev-type error estimates for interpolation by radial basis functions
In: Le Méhauté, Alan ; Rabut, Christophe ; Schumaker, Larry L. (ed.): Surface Fitting and Multiresolution Methods : Papers from the Third International Conference on Curves and Surfaces. Volume 2 - Nashville, USA: Vanderbilt Univ. Press, 1997. - pp. 337-344

Preprint, postprint, working paper, discussion paper

Wendland, Holger; de Marchi, S.
On the Convergence of the Rescaled Localized Radial Basis Function Method
Bayreuth ; Padova, 2019

Wendland, Holger; Künemund, Jens
Solving partial differential equations on (evolving) surfaces
Bayreuth, 2019

Wendland, Holger; Rieger, Christian
Sampling inequalities for anisotropic tensor product grids
Bayreuth ; Bonn, 2018

holger_wendland

Faculty of Mathematics, Physics and Computer Sciences
Chair of Applied and Numerical Analysis


Prof. Dr. Holger Wendland
Chair holder

Tel.: +49 (0)921 / 55-3378
Fax: +49 (0)921 / 55-843378

Email: Holger.Wendland@uni-bayreuth.de

Webmaster: Univ.Prof.Dr. Holger Wendland

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