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.
CITATION STYLE
Gerhards, C. (2015). Multiscale modeling of the geomagnetic field and ionospheric currents. In Handbook of Geomathematics: Second Edition (pp. 879–920). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-54551-1_18
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