Local Multiscale Approximations of Geostrophic Flow: Theoretical Background and Aspects of Scientific Computing

• In modern geoscience, understanding the climate depends on the information about the oceans. Covering two thirds of the Earth, oceans play an important role. Oceanic phenomena are, for example, oceanic circulation, water exchanges between atmosphere, land and ocean or temporal changes of the total water volume. All these features require new methods in constructive approximation, since they are regionally bounded and not globally observable. This article deals with methods of handling data with locally supported basis functions, modeling them in a multiscale scheme involving a wavelet approximation and presenting the main results for the dynamic topography and the geostrophic flow, e.g., in the Northern Atlantic. Further, it is demonstrated that compressional rates of the occurring wavelet transforms can be achieved by use of locally supported wavelets.

Author: Willi Freeden, Dominik Michel, Volker Michel urn:nbn:de:hbz:386-kluedo-13743 Schriften zur Funktionalanalysis und Geomathematik (19) Preprint English 2005 2005 Technische Universität Kaiserslautern Dynamische Topographie; Konstruktive Approximation; Lokalkompakte Kerneconstructive approximation; dynamical topography; locally compact kernels Mehrskalenanalyse; Wavelet Fachbereich Mathematik 510 Mathematik 42C40 Wavelets and other special systems 65T60 Wavelets 76B99 None of the above, but in this section 86A05 Hydrology, hydrography, oceanography [See also 76Bxx, 76E20, 76Q05, 76Rxx, 76U05]

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