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Theses Supervised by Volker Michel

 

 

  Theses Supervised by Volker Michel

PhD Theses

  1. Nahid 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. Muhammad 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. Abel 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 https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-21039.
  4. Paula 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. Doreen 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 https://nbn-resolving.org/urn:nbn:de:hbz:467-5448.
  6. Amna Ishtiaq: Grid Points and Generalized Discrepancies on the d-dimensional Ball, submitted and accepted 2018, second referees: Prof. Dr. Willi Freeden (Kaiserslautern) and Prof. Dr. Peter Scheffler (Siegen). The thesis is published on-line at https://nbn-resolving.org/urn:nbn:de:hbz:467-13733.
  7. Max 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 by Dr. Hut, Munich, and is available on-line at https://nbn-resolving.org/urn:nbn:de:hbz:467-13160.
  8. Bianca Kretz: Multiscale Mollifier Technique in Poroelasticity With an Introduction to Thermal Aspects, submitted and accepted 2022, second referee: Prof. Dr. Willi Freeden (Kaiserslautern). The thesis is published on-line at http://dx.doi.org/10.25819/ubsi/10192.
  9. Sarah Leweke: The Inverse Magneto-electroencephalography Problem for the Spherical Multiple-shell Model, submitted and accepted 2018, second referee: Prof. Dr. Ronny Ramlau (Linz). The thesis is available on-line at https://nbn-resolving.org/urn:nbn:de:hbz:467-13967
  10. Dominik 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.
  11. Naomi Schneider: Learning Dictionaries for Inverse Problems on the Sphere, submitted and accepted 2020, second referee: Prof. Dr.-Ing. Nico Sneeuw (Stuttgart). The thesis is available on-line at http://dx.doi.org/10.25819/ubsi/5431.
  12. Katrin 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 https://nbn-resolving.org/urn:nbn:de:hbz:467-14210.
  13. Roger Telschow: An Orthogonal Matching Pursuit for the Regularization of Spherical Inverse Problems, submitted and accepted 2014, second referee: Prof. Dr. Jürgen Prestin (Lübeck). The thesis is published by Dr. Hut, Munich.

 

Diploma/Master/Bachelor and Similar Theses

  1. Nahid Akhtar: The Numerical Calculation of the Surface Divergence via Product Kernels.
  2. Mohammad Akram: Multiresolution Analysis of the Martian Topography.
  3. Nelja Bachmann: The Mathematics Behind Tsunamis.
  4. Kirsten Bechtum: Tensorial Slepian Functions on the Ball.
  5. Julius Busse: Interpolation räumlicher Kurven mit Anwendungen auf die Vliesstoffproduktion.
  6. Doreen Fischer: A Numerical Study of the Approximation Quality and Speed of Certain Strongly Localizing Kernels on the 3D-Ball.
  7. Stefanie Homberger: Numerische Lösung einer Fredholm'schen Integralgleichung 1. Art mittels RFMP und ROFMP.
  8. André Horbach: Analysis of Cosmic Microwave Background Observed by WMAP. 
  9. Todor Iordanov: The Localization Behaviour of Spherical Scaling Functions and Wavelets - Studied at the Example of Gravity Field Analysis.
  10. Katharina Jonas: Grundlagen eines regularisierten Newton–One–Step–Verfahrens für die funktionelle Elektrische Impedanztomographie.
  11. Paula Kammann: Modelling Seismic Wave Propagation Using Time–Dependent Cauchy–Navier Splines.
  12. Annika Kohlhaas: Multiscale Modelling of Temporal and Spatial Variations in the Earth’s Gravity Potential Observed by GRACE.
  13. Max Kontak: Indikatoren für die Gleichmäßigkeit gitterbasierter Daten - Entwicklung und Vergleich von Methoden zur Bewertung von Vliesstoffen.
  14. Bianca Kretz: Study on Parameter Choice Methods for the RFMP With Respect to Downward Continuation.
  15. Bernd Lappé: Multiresolutionsanalyse zeitvariierender Flächen mit Anwendung in der Herzanatomie.
  16. Silvia Maßmann: Spatiotemporal Multiscale Analysis of Sea Level Variations.
  17. Stefan Mertes: Die Bernstein-Skalierungsfunktion und das Bernstein-Wavelet im linearen und bilinearen Fall.
  18. Ulrike Niederle: Synthetische Seismogramme im SNREI-Erdmodell.
  19. Lama Osman: Wavelets on the Unit Sphere and the Unit Ball in Rn. 
  20. Isabel Ostermann: Optimally Localizing Approximate Identities on the Three-dimensional Ball: Theory, Construction and Numerical Experiments.
  21. Sebastian Rennhack: The Regularized Weak Functional Matching Pursuit am Beispiel der Erdgravitationsfeldmodellierung.
  22. Frank Schmidt: Detektion von Phasensprüngen (cycle slips) bei GPS-Trägerphasenmessungen mittels waveletbasierter Verfahren.
  23. Matthias Schmidt: Regionale sphärische Spline-Approximation des Gravitationsfeldes.
  24. Naomi Schneider: Vectorial Slepian Functions on the Ball.
  25. Katrin Seibert: Investigation of Mass Transports at the Earth's Surface and Filtering Techniques for GRACE Gravity Field Data Using the Example of Greenland. 
  26. Andreas Simon: Wavelet-based Adaptive Multiresolution Tools Applied to Speech Recognition.
  27. Lea Martina Thielmann: Die Konstruktion von Skalierungsfunktionen und Wavelets auf Spin-gewichteten Kugelflächenfunktionen.
  28. Carsten Simon Weber: Inverse Gravimetrie am Beispiel des RFMP-Algorithmus mit Tesseroids als Dictionary-Elemente
  29. Kerstin Wolf: Numerical Aspects of Harmonic Spline-Wavelets for the Satellite Gravimetry Problem.
  30. Andreas Zielenbach: Splines aus Spin-gewichteten Kugelflächenfunktionen.

 

Aktualisiert via XIMS am 7.6.2023 von V. Michel