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Publications of the Geomathematics Group

  Publications of the Geomathematics Group

(in reverse chronological order)

2018

  • S. Gramsch, M. Kontak, V. Michel: Three-dimensional simulation of nonwoven fabrics using a greedy approximation of the distribution of fiber directions, arXiv:1608.01514, 2016; Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM, Journal of Applied Mathematics and Mechanics), 98 (2018), 277-288.
  • M. Kontak, V. Michel: A greedy algorithm for non-linear inverse problems with an application to non-linear inverse gravimetry, preprint SPG-19, 2018.
  • M. Kontak, V. Michel: The regularized weak functional matching pursuit for linear inverse problems, submitted to: Journal of Inverse and Ill-Posed Problems, 2018.
  • V. Michel (ed.): Mathematical Problems in Medical Imaging and Earth Sciences, topical collection, GEM: International Journal on Geomathematics, 2017-2018, papers are currently being collected.
  • V. Michel, S. Orzlowski, N. Schneider: Vectorial Slepian functions on the ball, accepted for publication in: Numerical Functional Analysis and Optimization, 2018; preprint SPG-17, 2017, arXiv 1707.00245.

2017

2016

  • W. Freeden, V. Michel, F.J. Simons: Spherical harmonics based special function systems and constructive approximation methods, accepted for publication in "Handbook of Mathematical Geodesy", Springer, 2016.
  • V. Michel, S. Orzlowski: On the null space of a class of Fredholm integral equations of the first kindJournal of Inverse and Ill-Posed Problems, 24 (2016), 687-710.
  • S. Leweke, V. Michel, R. Telschow: On the non-uniqueness of gravitational and magnetic field data inversion (survey article), accepted for publication in "Handbook of Mathematical Geodesy", Springer, 2016.
  • V. Michel, R. Telschow: The regularized orthogonal functional matching pursuit for ill-posed inverse problemsSIAM Journal on Numerical Analysis, 54 (2016), 262-287.

2015

  • V. Michel: RFMP - An iterative best basis algorithm for inverse problems in the geosciences, in: Handbook of Geomathematics (W. Freeden, M.Z. Nashed, and T. Sonar, eds.), 2nd edition (new paper), Springer, Berlin, Heidelberg, 2015, pp. 2121-2147.
  • V. Michel: Tomography - problems and multiscale solutions, in: Handbook of Geomathematics (W. Freeden, M.Z. Nashed, and T. Sonar, eds.), 2nd edition (completely revised version of the paper in the 1st edition), Springer, Berlin, Heidelberg, 2015, pp. 2087-2119.
2014
2013
2012
2011
2010
2008
2007 
  • M.J. Fengler, W. Freeden, A. Kohlhaas, V. Michel, T. Peters: Wavelet modelling of regional and temporal variations of the earth's gravitational potential observed by GRACE, Journal of Geodesy, 81 (2007),5-15.
  • W. Freeden, D. Michel, V. Michel: Product framelet based operator decomposition, Schriften zur Funktionalanalysis und Geomathematik, TU Kaiserslautern, 34 (2007).
  • V. Michel: Review of the book "Mathematical geophysics. An introduction to rotating fluids and the Navier-Stokes equations", by J.Y. Chemin, B. Desjardins, I. Gallagher, E. Grenier, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 87 (2007), p. 246.
2006
2005
2004
2003
2002
2001
2000 and earlier

     

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