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Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents

Handbook of Geomathematics

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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.

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Authors and Affiliations

  1. Geomathematics Group, University of Kaiserslautern, Kaiserslautern, Germany

    Christian Gerhards

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  1. Christian Gerhards
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Correspondence to Christian Gerhards .

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Editors and Affiliations

  1. Geomathematische Gruppe, TU Kaiserslautern FB Mathematik, Kaiserslautern, Germany

    Willi Freeden

  2. University of Central Florida Dept. Mathematics, Orlando, Florida, USA

    M. Zuhair Nashed

  3. Inst. Analysis, TU Braunschweig FB 1 Mathematik und Informatik, Braunschweig, Germany

    Thomas Sonar

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Gerhards, C. (2013). Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents. In: Freeden, W., Nashed, M., Sonar, T. (eds) Handbook of Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27793-1_18-2

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  • DOI: https://doi.org/10.1007/978-3-642-27793-1_18-2

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  • Online ISBN: 978-3-642-27793-1

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  1. Latest

    Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents
    Published:
    06 January 2015

    DOI: https://doi.org/10.1007/978-3-642-27793-1_18-4

  2. Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents
    Published:
    15 September 2014

    DOI: https://doi.org/10.1007/978-3-642-27793-1_18-3

  3. Original

    Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents
    Published:
    26 August 2014

    DOI: https://doi.org/10.1007/978-3-642-27793-1_18-2

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