Siegen Preprints on Geomathematics
The preprint series "Siegen Preprints on Geomathematics" was established in 2010. At present, the following preprints are available:
- P. Berkel, D. Fischer, V. Michel: Spline multiresolution and numerical results for joint gravitation and normal mode inversion with an outlook on sparse regularisation
, 2010. The final publication is available at springerlink.com. 
- M. Akram, V. Michel: Regularisation of the Helmholtz decomposition and its application to geomagnetic field modelling , 2010. The final publication is available at springerlink.com.
- V. Michel: Optimally Localized Approximate Identities on the 2-Sphere , 2010.
- N. Akhtar, V. Michel: Reproducing Kernel Based Splines for the Regularization of the Inverse Spheroidal Gravimetric Problem , 2011.
- D. Fischer, V. Michel: Sparse Regularization of Inverse Gravimetry – Case Study: Spatial and Temporal Mass Variations in South America, 2011. The paper is published (in a revised version) in Inverse Problems 28 (2012), 065012 (34pp) , click here for download.
- A.S. Fokas, O. Hauk, V. Michel: Electro-Magneto-Encephalography for the three-Shell Model: Numerical Implementation for Distributed Current in Spherical Geometry , 2011.
- M. Akram, I. Amina, V. Michel: A Study of Differential Operators for Complete Orthonormal Systems on a 3D Ball , 2011.
- D. Fischer, V. Michel: How to Combine Spherical Harmonics and Localized Bases for Regional Gravity Modelling and Inversion , 2012. The paper has been accepted (in a revised version titled "Automatic best-basis selection for geophyiscal tomographic inverse problems") by Geophysical Journal International in 2013.
- D. Fischer, V. Michel: Inverting GRACE Gravity Data for Local Climate Effects , 2012