TY  - INPR
A1  - Freeden, Willi
A1  - Michel, Dominik
A1  - Michel, Volker
T1  - Local Multiscale Approximations of Geostrophic Flow: Theoretical Background and Aspects of Scientific Computing
N2  - 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.
T3  - Schriften zur Funktionalanalysis und Geomathematik - 19 
KW  - Wavelet
KW  - Mehrskalenanalyse
KW  - Konstruktive Approximation
KW  - Lokalkompakte Kerne
KW  - Dynamische Topographie
KW  - constructive approximation
KW  - locally compact kernels
KW  - dynamical topography
Y1  - 2005
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1634
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-13743
ER  -