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Theses Supervised by Volker Michel



  Theses Supervised by Volker Michel

PhD Theses

  1. N. Akhtar: A Multiscale Harmonic Spline Interpolation Method for the Inverse Spheroidal Gravimetric Problem, submitted and accepted 2009, second referee: Prof. Dr.-Ing.habil. Dr.tech.h.c.mult. Dr.-Ing.E.h.mult. Erik W. Grafarend (Stuttgart). The thesis is published at Shaker Verlag, Aachen.
  2. M. Akram: Constructive Approximation on the 3-dimensional Ball with Focus on Locally Supported Kernels and the Helmholtz Decomposition, submitted and accepted 2008, second referee: Prof. Dr. Michael Schreiner (Buchs, CH). The thesis is published at Shaker Verlag, Aachen.
  3. A. Amirbekyan: The Application of Reproducing Kernel Based Spline Approximation to Seismic Surface and Body Wave Tomography: Theoretical Aspects and Numerical Results, submitted 2006, accepted 2007, second referee: Prof. Frederik J. Simons, PhD (Princeton, USA). The thesis is published on-line at http://kluedo.ub.uni-kl.de/volltexte/2007/2103/
  4. P. Berkel: Multiscale Methods for the Combined Inversion of Normal Mode and Gravity Variations, submitted and accepted 2009, second referee: Prof. A.S. Fokas, PhD, MD (Cambridge, UK). The thesis is published at Shaker Verlag, Aachen.
  5. D. Fischer: Sparse Regularization of a Joint Inversion of Gravitational Data and Normal Mode Anomalies, submitted and accepted 2011, second referee: Prof. Frederik J. Simons, PhD (Princeton, USA). The thesis is published at Verlag Dr. Hut, München and on-line at http://dokumentix.ub.uni-siegen.de/opus/volltexte/2012/544/index.html.
  6. A. Ishtiaq: Grid Points and Generalized Discrepancies on the d-dimensional Ball, submitted 2018, second referees: Prof. Dr. Willi Freeden (Kaiserslautern) and Prof. Dr. Peter Scheffler (Siegen).
  7. M. Kontak: Novel Algorithms of Greedy-Type for Probability Density Estimation as well as Linear and Nonlinear Inverse Problems, submitted and accepted 2018, second referees: Prof. Dr. Bernd Hofmann (Chemnitz) and Prof. Dr. Thomas Schuster (Saarbrücken). The thesis is published on-line at http://dokumentix.ub.uni-siegen.de/opus/volltexte/2018/1316/index.html.
  8. S. Leweke: The Inverse Magneto-electroencephalography Problem for the Spherical Multiple-shell Model, submitted 2018, second referee: Prof. Dr. Ronny Ramlau (Linz). The thesis is available on-line at http://dokumentix.ub.uni-siegen.de/opus/volltexte/2019/1396/ .
  9. D. Michel: Framelet Based Multiscale Operator Decomposition, submitted and accepted 2006, second referee: Prof. Dr. Peter Maaß (Bremen). The thesis is published at Shaker Verlag, Aachen.
  10. K. Seibert: Spin-Weighted Spherical Harmonics and Their Application for the Construction of Tensor Slepian Functions on the Spherical Cap, submitted and accepted 2018, second referees: Prof. Dr. Alain Plattner (Fresno) and Prof. Dr. Daniel Potts (Chemnitz). The thesis is published by Universi, Siegen and is available on-line at http://dokumentix.ub.uni-siegen.de/opus/volltexte/2019/1421/index.html.
  11. R. Telschow: An Orthogonal Matching Pursuit for the Regularization of Spherical Inverse Problems, submitted and accepted 2014, second referee: Prof. Dr. Jürgen Prestin (Lübeck).


Diploma/Master Theses

  1. N. Bachmann: The Mathematics Behind Tsunamis.
  2. K. Bechtum: Tensorial Slepian Functions on the Ball.
  3. D. Fischer: A Numerical Study of the Approximation Quality and Speed of Certain Strongly Localizing Kernels on the 3D-Ball.
  4. S. Homberger: Numerische Lösung einer Fredholm'schen Integralgleichung 1. Art mittels RFMP und ROFMP.
  5. A. Horbach: Analysis of Cosmic Microwave Background Observed by WMAP. 
  6. T. Iordanov: The Localization Behaviour of Spherical Scaling Functions and Wavelets - Studied at the Example of Gravity Field Analysis.
  7. K. Jonas: Grundlagen eines regularisierten Newton–One–Step–Verfahrens für die funktionelle Elektrische Impedanztomographie.
  8. P. Kammann: Modelling Seismic Wave Propagation Using Time–Dependent Cauchy–Navier Splines.
  9. A. Kohlhaas: Multiscale Modelling of Temporal and Spatial Variations in the Earth’s Gravity Potential Observed by GRACE.
  10. B. Kretz: Study on Parameter Choice Methods for the RFMP With Respect to Downward Continuation.
  11. B. Lappé: Multiresolutionsanalyse zeitvariierender Flächen mit Anwendung in der Herzanatomie.
  12. S. Maßmann: Spatiotemporal Multiscale Analysis of Sea Level Variations.
  13. S. Mertes: Die Bernstein-Skalierungsfunktion und das Bernstein-Wavelet im linearen und bilinearen Fall.
  14. U. Niederle: Synthetische Seismogramme im SNREI-Erdmodell. 
  15. L. Osman: Wavelets on the Unit Sphere and the Unit Ball in Rn. 
  16. I. Ostermann: Optimally Localizing Approximate Identities on the Three-dimensional Ball: Theory, Construction and Numerical Experiments.
  17. F. Schmidt: Detektion von Phasensprüngen (cycle slips) bei GPS-Trägerphasenmessungen mittels waveletbasierter Verfahren.
  18. M. Schmidt: Regionale sphärische Spline-Approximation des Gravitationsfeldes.
  19. N. Schneider: Vectorial Slepian Functions on the Ball.
  20. K. Seibert: Investigation of Mass Transports at the Earth's Surface and Filtering Techniques for GRACE Gravity Field Data Using the Example of Greenland. 
  21. A. Simon: Wavelet-based Adaptive Multiresolution Tools Applied to Speech Recognition.
  22. K. Wolf: Numerical Aspects of Harmonic Spline-Wavelets for the Satellite Gravimetry Problem.


Bachelor Theses

  1. M. Kontak: Indikatoren für die Gleichmäßigkeit gitterbasierter Daten - Entwicklung und Vergleich von Methoden zur Bewertung von Vliesstoffen


PhD Admission Theses

  1. N. Akhtar: The Numerical Calculation of the Surface Divergence via Product Kernels, 2006.
  2. M. Akram: Multiresolution Analysis of the Martian Topography, 2005.