Willi Freeden

Department of Mathematics
University of Kaiserslautern, Kaiserslautern
E-mail: freeden@mathematik.uni-kl.de
Page: http://www.mathematik.uni-kl.de/~wwwgeo/WFreeden.html

Fields of interest

  • Special functions of mathematical (geo)physics
  • Partial differential equations
  • Constructive approximation
  • Numerical methods
  • Inverse problems in geophysics, geodesy and satellite technology

Recent publications

W. Freeden and C. Gerhards:

Poloidal and Toroidal Field Modeling in Terms of Locally Supported Vector Wavelets,
Mathematical Geosciences (in press).

W. Freeden and M. Schreiner:
Spherical Functions in Mathematical Geosciences – An Attempt of Categorization,
Handbook of Geomathematics, Springer, Heidelberg (in press)

W. Freeden and M. Schreiner:
Satellite Gravity Gradiometry (SGG) – From Scalar to Tensorial Solution,
Handbook of Geomathematics, Springer, Heidelberg (in press)

W. Freeden , T. Fehlinger, M. Klug, D. Mathar and K. Wolf:
Classical Globally Reflected Gravity Field Determination in Modern Locally Oriented Multiscale Framework,
Journal of Geodesy, 83, 1171-1191 (2009).

W. Freeden and M. Gutting:
On the completeness and Closure of Vector and Tensor Spherical Harmonics,
Integral Transforms and Special Functions, 19, 713-734, (2008).

T. Fehlinger, W. Freeden, C. Mayer and M. Schreiner:
On the Local Multiscale Determination of the Earth's Disturbing Potential From Discrete Deflections of the Vertical,
Computational Geosciences, 12, 473-490 (2008).

W. Freeden and M. Schreiner:
Spherical Functions of Mathematical Geosciences. A Scalar, Vectorial, and Tensorial Setup,
Springer, Heidelberg, 2008.

W. Freeden and M. Schreiner,
Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Functions,
Journal of Fourier Analysis and Applications, 13, 693-709 (2007).

W. Freeden and C. Mayer:
Modeling Tangential Vector Fields on Regular Surfaces by Means of Mie Potentials,
International Journal of Wavelets, Multiresolution and Information Processing, 5, 417-449 (2007).

M. Fengler, W. Freeden, A. Kohlhaas, V. Michel and T. Peters:
Wavelet Modelling of Regional and Temporal Variations of the Earth's Gravitational Potential Observed by GRACE,
Journal of Geodesy, 81, 5-15 (2007).