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Dr. rer. nat. Sarah Leweke


Postdoctoral Researcher

Office EN-B 208
Address University of Siegen
Fakulty IV, Department Mathematics
Geomathematics Group
Walter-Flex-Str. 3
57068 Siegen
Phone +49 (0271) 740 3742
Fax +49 (0271) 740 3632
Email leweke@mathematik.uni-siegen.de
Maiden name Orzlowski

Betreute Lehrveranstaltungen

  • Analysis I
  • Analysis II
  • Konstruktive Approximation
  • Funktionalanalysis I
  • Funktionalanalysis II: Inverse Probleme
  • Mathematik für Elektrotechnik-Ingenieure II
  • LaTeX-Kurs (KoSi)

Publications

  • S. Leweke , V. Michel, A. S. Fokas. Electro-Magnetoencephalography for the spherical multiple-shell model: novel integral operators with singular-value decompositions. Inverse Probl. 36: 035003. 2020. https://doi.org/10.1088/1361-6420/ab291f
  • S. Leweke . The Inverse Magneto-electroencephalography Problem for the Spherical Multiple-shell Model -- Theoretical Investigations and Numerical Aspects. Dissertation. Universität Siegen. 2018. http://dokumentix.ub.uni-siegen.de/opus/volltexte/2019/1396/
  • S. Leweke , V. Michel, N. Schneider. Vector Slepian functions on the ball. Numer. Func. Anal. Opt. 39: 1120-1152. 2018. https://doi.org/10.1080/01630563.2018.1465953
  • S. Leweke , V. Michel, R. Telschow. On the non-uniqueness of gravitational and magnetic field data inversion (survey article). In: Handbook of Mathematical Geodesy. Ed. by W. Freeden and M. Z. Nashed. Birkhäuser Basel. 2018. (883–919). https://doi.org/10.1007/978-3-319-57181-2_15
  • V. Michel, S. Orzlowski . On the convergence theorem for the regularized functional matching pursuit (RFMP) algorithm. Int. J. Geomath, 8: 183–190. 2017. https://doi.org/10.1007/s13137-017-0095-6
  • V. Michel, S. Orzlowski . On the null space of a class of Fredholm integral equations of the first kind. J. Inverse Ill-Posed Probl. 24: 687–710. 2016. https://doi.org/10.1515/jiip-2015-0026

Talks and Conferences

  • 2018 (Malta). 9th International Conference ’Inverse Problems: Modeling and Simulation’. Minisymposium: Inverse Problems and Signal Processing in Geoscience and Beyond. Inversion of electric and magnetic data in medical imaging and beyond . (Invited Speaker).
  • 2015 (Helsinki, Finland). Applied Inverse Problems Conference. Minisymposium: Aggregation and Joint Inversion, Challenges for Numerical Regularization Methods. A regularized joint inversion of electric and magnetic data by means of a best basis algorithm. (Invited Speaker).
  • 2015 (San Antonio, USA). Joint Mathematics Meetings of the AMS and the MAA. AMS Special Session on Geosystems Mathematics.Reconstruction of electric currents in spherical geometries from magnetic field data via a regularized best basis algorithm. (Invited Speaker).
  • 2014 (Innsbruck, Austria). Advances in Mathematical Image Reconstruction. Image reconstruction of neuronal currents with the aid of a regularized functional matching pursuit algorithm. (Poster).
  • 2015 (Chemnitz, Germany). Chemnitz Symposium on Inverse Problems.Regularized joint inversion of EEG and MEG data by a best basis algorithm.
  • 2014 (Hasenwinkel, Germany). Mecklenburger Workshop. Approximationsmethoden und schnelle Algorithmen.Regularised joint inversion of EEG and MEG data by means of dictionaries.