Address :
Institute of Mathematics
and Scientific Computing
University of Graz
Heinrichstraße 36
8010 Graz
Austria
e-mail: kazimier@uni-graz.at
Phone:
- +43 - (0)316 - 380 5173 (Office)
- +43 - (0)316 - 380 9815 (Fax)
Office:
Main Campus
Building Heinrichstraße 36
4th Floor, Room 501
Research
I am currently interested in:
- Minimization of Tikhonov functionals
- Inverse Scattering and Ground penetrating radar
- Remote sensing in meteorology (SODAR, weather radar)
- Regularization methods in Banach spaces
Books
T. Schuster, B. Kaltenbacher, B. Hofmann and K. S. Kazimierski
Regularization Methods in Banach spaces
In Radon Series on Computational and Applied Mathematics, deGruyter, Berlin, 2012K. S. Kazimierski
Aspects of Regularization in Banach spaces
Logos, Berlin, 2010
Publications and Preprints
- M. Holler, K. S. Kazimierski
Variational decompression of DjVu encoded files
preprint, pdf - K. S. Kazimierski, I. Piotrowska-Kurczewski, F. Böhmermann, O. Riemer
A statistical filtering method for denoising of micro-force measurements
to appear in 'The International Journal of Advanced Manufacturing Technology', 2016, doi: 10.1007/s00170-016-8513-8 pdf - R. Strehlow, K. S. Kazimierski
Approximation of penalty terms in Tikhonov functionals - theory and applications in inverse problems
Inverse Problems, 30(7), 2014, 075005, doi: 10.1088/0266-5611/30/7/075005, pdf - R. Ressel, P. Dülk, S. Dahlke, K. S. Kazimierski, P. Maass
Regularity of the parameter-to-state map of a parabolic partial differential equation
to appear in final report of DFG-SPP project 'Adaptive Wavelet Frame Methods for Operator Equations' - A. Lechleiter, K. S. Kazimierski and M. Karamehmedovic
Tikhonov regularization in Lp applied to inverse medium scattering
Inverse Problems, 29(7), 2013, 075003, doi: 10.1088/0266-5611/29/7/075003 pdf - K. S. Kazimierski
On the smoothness and convexity of Besov spaces
Journal of Inverse and Ill-posed Problems, 21(3), 2013, 411-429, doi: 10.1515/jip-2013-0006 pdf - K. S. Kazimierski, R. Strehlow and P. Maass
Norm sensitivity of sparsity regularization with respect to p
Inverse Problems, 28(10), 2012, 104009 doi: 10.1088/0266-5611/28/10/104009 pdf
Selected in the 'Highlights of 2012' of Inverse Problems - K. S. Kazimierski
Minimization of the Tikhonov functional in Banach spaces smooth and convex of power type by steepest descent in the dual
Computational Optimization and Applications, 48 (2), 2011, 309-324, doi: 10.1007/s10589-009-9257-244, pdf - T. Hein, K. S. Kazimierski
Accelerated Landweber iteration in Banach spaces
Inverse Problems, 26 (5), 2010, 055002, doi: 10.1088/0266-5611/26/5/055002, pdf - T. Hein, K. S. Kazimierski
Modified Landweber iteration in Banach spaces - convergence and convergence rates
Numerical Functional Analysis and Optimization 31 (10), 2010, 1158 - 1189, pdf - K. S. Kazimierski
Are adaptive Mann iterations really adaptive?
Mathematical Communications, 14 (2), 2009, 399 - 412, pdf - K. S. Kazimierski
Adaptive Mann iterations for nonlinear accretive and pseudocontractive operator equations
Mathematical Communications, 13 (1), 2008, 33-44, pdf - T. Schuster, P. Maass, T. Bonesky, K. S. Kazimierski, F. Schöpfer
Minimization of Tikhonov Functionals in Banach Spaces
Abstract and Applied Analysis, Volume 2008, 2008, Article ID 192679, doi: 10.1155/2008/192679, pdf
Talks and Conferences
- Sparse Reconstructions in Inverse Medium Scattering
Canberra Symposium On Regularisation, Canberra, Nov 2012 - A damped conjugate gradient method for ill-posed problems in Banach spaces
Chinese-German Symposium on Inverse Problems, Saarbrücken, Oct 2012 - Conjugate Gradient Iteration in Banach spaces
IP:MS, Antalya, May 2012 - Accelerated Landweber method in Banach spaces
Oberseminar Angewandte Analysis Universität Osnabrück, Osnabrück, Jun 2011 - Iterative regularization methods in Banach spaces
AIP, College Station, USA, May 2011 - Iterative Regularization in Banach spaces
Rhein-Ruhr Workshop 2011, Königswinter, Germany, 3 Feb 2011 - Engl's discrepancy principle
Chemnitz Symposium on Inverse Problems, Chemnitz, Germany, 23-24 Sep 2010 - Landweber iteration in Banach spaces
Norddeutsches Kolloquium, Oldenburg, Germany, 12 Jun 2010 - Landweber iteration in Banach spaces
Inverse Problems: Modeling and Simulation, Antalya, Turkey, 24-29 May 2010 - Hein's inequality
Oberseminar Wavelet-Analysis und Inverse Probleme, Bremen, Germany, 29 Apr 2010 - Iterative regularization in Banach spaces
Conference on Applied Inverse Problems 2009, Vienna, Austria, 20-24 Jul 2009 - Regularization in Banach spaces
Seminaire ToRIID, Saint Jean des Vignes, France, 2-3 Mar 2009 - Regularization in sequence spaces
Forschungsseminar Partielle Differentialgleichungen und Inverse Probleme, Chemnitz, Germany, 24 Feb 2009 - On aspects of regularization in Banach spaces
Oberseminar Wavelet-Analysis und Inverse Probleme, Bremen, Germany, 21 Nov 2008 - On aspects of regularization in Banach spaces
Oberseminar Rhein-Ruhr, Duisburg, Germany, 14 Nov 2008 - Minimization of Tikhonov functionals in Banach spaces
Chemnitz Symposium on Inverse Problems, Chemnitz, Germany, 25-26 Sep 2008 - ...für die Wurzel sterben. (...to die for the root.)
AG Technomathematik Sommerseminar Krakow, Cracow, Poland, 24-29 Aug 2008 - Minimization of Tikhonov functionals in Banach spaces
Jahrestagung der Deutschen Mathematischen-Vereinigung 2008 (DMV annual meeting), Erlangen, Germany, 14-20 Sep 2008 - GPR 2008 12th International Conference on Ground Penetrating Radar, Birmingham, United Kingdom, 15-19 Jun 2008
- Minimization of Tikhonov functionals in Banach spaces
IPMS 2008 Inverse Problems: Modeling and Simulation, Fethiye, Turkey, 26-30 May 2008 - GAMM 2008 (79th Annual Meeting of the International Association of Applied Mathematics and Mechanics), Bremen, Germany, 31 Mar - 04 Apr 2008
- Landweber-Verfahren in Banach-Räumen (Landweber method in Banach spaces)
Oberseminar Wavelet-Analysis und Inverse Probleme, Bremen, Germany, 14 Feb 2008 - Minimierung des Tikhonov-Funktionals in Banach-Räumen (Minimization of the Tikhonov functional in Banach spaces) (abstract) 18. Rhein-Ruhr Workhop, Gemen, Germany, 08-09 Feb 2008
- Final meeting of the DFG Priority Programme 1114, Schloss Reinach, Freiburg-Munzingen, Germany, 07-09 Nov 2007
- Chemnitz Symposium on Inverse Problems, Chemnitz, Germany, 27-28 Sep 2007
- Workshop Transformationen auf der Sphäre und Tomographie (Workshop transformations on the sphere and tomography), Hasenwinkel, Germany, 3-6 Sep 2007
- Risiko - von Wetten, Aktien und Anderem (Risk - on betting, trading and other stuff)
AG Technomathematik Winterseminar Uttendorf, Uttendorf, Austria, 12-16 Feb 2007 - Empirische Moden und lokale Mittel (Empirical modes and local means) (abstract)
17. Rhein-Ruhr Workhop, Gemen, Germany, 09-10 Feb 2007 - Empirical Mode Decomposition und Hilbert-Huang-Transformation
Oberseminar Wavelet-Analysis und Inverse Probleme, Bremen, Germany, 03 Nov 2006 - Gibbs' phenomenon in wavelet approximation
Oberseminar Wavelet-Analysis und Inverse Probleme, Bremen, Germany, 22 Feb 2006 - Gibbs-Phänomen bei Approximation mit Wavelets (Gibbs' phenomenon in wavelet approximation) (abstract)
16. Rhein-Ruhr Workhop, Schwerte, Germany, 10-11 Feb 2006 - Recent Progress in Wavelet Analysis and Frame Theory, Bremen, Germany, 23-26 Jan 2006
- Über das Gibbs'sche Phänomen (On Gibbs' phenomenon),
Oberseminar Ausgewählte Themen der Numerischen Analysis, Bonn, Germany, 19 Jan 2006 - Winter School Breaking Complexity: Nonlinear/Adaptive Approximation in High Dimensions
Physikzentrum Bad Honnef, Germany, 14-18 Dec 2005