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Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents

In: Handbook of Geomathematics

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  • Christian Gerhards

    (University of Kaiserslautern, Geomathematics Group)

Abstract

This chapter gives a brief overview on the application of multiscale techniques to the modeling of geomagnetic problems. Two approaches are presented: one focusing on the construction of scaling and wavelet kernels in frequency domain and the other one focusing on a spatially oriented construction resulting in locally supported wavelets. Both approaches are applied exemplarily to the modeling of the crustal field, the reconstruction of radial current systems, and the definition of a multiscale power spectrum.

Suggested Citation

  • Christian Gerhards, 2015. "Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, edition 2, pages 879-920, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-54551-1_18
    DOI: 10.1007/978-3-642-54551-1_18
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