Kemal Raik, MA, MSc

E-Mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Telephone: +43-(0)732-2468-4109

 

Room: S2 0524 (Science Park Building 2, 5th floor)

Industrial Mathematics Institute
Johannes Kepler University
Altenberger Straße 69
A-4040 Linz
Austria

 

Education:

  • Feb 2015- 2017: Utrecht University, MSc. Mathematical Sciences, Specialisation: Applied Analysis, Thesis: Inverse Schrödinger Scattering in Seismic Imaging
  • 2010-2014: University of Aberdeen, MA. (Hons) Mathematics, Thesis: Functional Analysis


Scientific Activity:
Oct - Jun 2016: 19th Internet Seminar: Infinite Dimensional Analysis, Casalmaggiore, Cremona, Italy. Joint-work under the guidance of Dr Chiara Spina of the University of Salento, presentation on the topic of Ornstein-Uhlenbeck operators at the Instituto Santa Chiara.
Feb 26 - Mar 02 2018: Würzburg Winter School on "Modern Methods in nonsmooth Optimization"
Oct - June 2018: 21st Internet Seminar: Functional Calculus; presentation under the coordination of Hendrik Vogt from the University of Bremen on "Numerical Range as a Spectral Set".
27 - 28 September 2018: Chemnitz Symposium on Inverse Problems 2018, gave a presentation on "Heuristic Parameter Choice Rules with Operator Perturbations"
14 June 2019: Talk "The Regularisation of Inverse and Ill-Posed Problems", Postgraduate Seminar of the University of Kent, UK 
8 - 12 July 2019: Applied Inverse Problems (AIP) conference in Grenoble, France, talk "Heuristic Parameter Choice Rules for Convex Variation Regularisation"
15 - 19 July 2019: International Congress for Industrial and Applied Mathematics (ICIAM), Valencia, Spain, talk "Heuristic Parameter Choice Rules for the Regularisation of Inverse Problems" 
30 September - 2 October 2019: "Heuristic Rules for Convex Regularisation", Chemnitz Symposium on Inverse Problems, Frankfurt, Germany

 

Publications:

Uno Hämarik, Urve Kangro, Stefan Kindermann, Kemal Raik (2019): Semi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbations. Journal of Inverse and Ill-posed problems Vol 27 (1), p. 117-131, doi 10.1515/jiip-2018-0062

Stefan Kindermann, Kemal Raik (2019): Heuristic Parameter Choice Rules for Tikhonov Regularisation with Weakly Bounded Noise, in: Numerical Functional Analysis and Optimization, Volume 40 (12), p. 1373-1394 https://doi.org/10.1080/01630563.2019.1604546

Stefan Kindermann, Kemal Raik (2020): Convergence of Heuristic Parameter Choice Rules for Convex Tikhonov Regularisation, in: SIAM Journal of Numerical Analysis, Volume 58 (3), p. 1773-1800
https://doi.org/10.1137/19M1263066

Stefan Kindermann, Kemal Raik (2020): A simplified L-curve method as error estimator, in: Electronic Transactions on Numerical Analysis (ETNA), Vol 53, pp. 217-238, 2020, available here

 

 

Research Interests:

  • Inverse Problems
  • Regularization
  • Heuristic Parameter Choice Rules