Geomathematics Group
Happy New Year! "Mathematics of Planet Earth 2013" 
has started!
--> DFG-Rundgespräch "Lokal adaptive Regularisierungstechniken für inverse Probleme der Geodäsie und Geophysik" in Siegen (14-15 Febr. 2013) 
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The Geomathematics Group at the Department of Mathematics of the University of Siegen is concerned with the development and application of new mathematical techniques for problems in the geosciences - but not only there. Medical imaging is also an investigated field of application. Here are some of the current focusses of the research of the Geomaths Group:
- Modelling of the Earth's interior based on gravitational and seismic data: this involves the use of spaceborne gravity models (based on satellite missions) and the use of earthquake travel-times as well as spectral anomalies of the free oscillations of the Earth after major earthquakes.
- Sparsity methods / greedy algorithms for ill-posed problems: we have developed an algorithm, the Regularized Functional Matching Pursuit (RFMP), which iteratively combines heterogeneous trial functions for a locally adapted resolution of results of ill-posed (inverse) problems
- Constructive approximation on the 3D-ball: improved numerical methods are developed in order to calculate functions on the 3D-ball in an efficient way, i.e. both the approximation error and the calculation time have to be kept acceptably small.
- MEG/EEG: a joint research project with A.S. Fokas and O. Hauk (Cambridge) is concerned with the theory and numerics of the inverse problems with respect to magneto- and electroencephalography.
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