Time-Space Dependent Multiscale Modelling of the Magnetic Field Using Satellite Data (i.e. CHAMP-data)

• Applicant: Professor Dr. Willi Freeden
• Subject Area: Geophysics
• Term: from 2000 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5249766

• Final Report Year: 2010

Final Report Abstract

No abstract available

Publications

• (2001) A Vector Wavelet Approach to Iono- and Magnetospheric Geomagnetic Satellite Data. J. Atm. Solar-Terr. Phys. 63: 581- 597
  Bayer M, Freeden W, Maier T
  
• (2001). Multiscale Signal-to-Noise Thresholding. Acta Geod. Geoph. Hung. 36: 55-86
  Freeden W, Michel V, Stenger M
  
• (2002) On Multiscale Denoising of Spherical Functions: Basic Theory and Numerical Aspects. Electr. Trans. Num. Anal. (ETNA) 14: 40-62
  Freeden W, Maier T
  
• (2003) A Survey on Wavelet Methods for (Geo) Applications. Rev. Math. Compl. 16: 277-310
  Freeden W, Maier T, Zimmermann S
  
• (2003) Multiscale Determination of Radial Current Distribution from CHAMP FGM-Data. In: First CHAMP Mission Results for Gravity, Magnetic and Athmospheric Studies
  Mayer C, Maier T
  
• (2003) Multiscale Downward Continuation of the Crustal Field from CHAMP FGM Data. In: First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies
  Maier T, Mayer C
  
• (2003) Spectral and Multiscale Signal-to-Noise Thresholding of Spherical Vector Fields. Comp. Geosc. 7: 215-250
  Freeden W, Maier T
  
• (2003) SST-Regularisierung durch Multiresolutionstechniken auf der Basis von CHAMP-Daten. Allgemeine Vermessungs-Nachrichten (AVN) 5: 162-175
  Freeden W, Maier T
  
• (2003) Wavelets Generated by Layer Potentials. App. Comp. Harm. Ana. 14: 195-237
  Freeden W, Mayer C
  
• (2004) Wavelet Modelling of the Spherical Inverse Source Problem with Application to Geomagnetism. Inverse Problems 20: 1713-1728
  Mayer C
  
• (2005) Wavelet-Mie-Representation for Solenoidal Vector Fields with Applications to Ionospheric Geomagnetic Data. SIAM J. Appl. Math. 65: 1888-1912
  Maier T
  
• (2006) Advanced mathematical tools to describe the geomagnetic field. In: Geomagnetic Field Variations: Space-Time Structure, Processes and Effects on System Earth, Terra Nostra 3: 48-55
  Maier T, Freeden W, Mayer C
  
• (2006) Separating Inner and Outer Earth’s Magnetic Field from CHAMP Satellite Measurements by Means of Vector Scaling Functions and Wavelets. Geophys. J. Int. 167: 1188-1203
  Mayer C, Maier T
  
• (2006) Wavelet Decomposition of Spherical Vector Fields with Respect to Sources. J. Fourier Anal. Appl. 12: 345-369
  Mayer C