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   -> Volume 6, Issue 9


Preprint: Applications of Spherical Wavelets
 
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Author Message
Jochen GÂÄttelmann (jochen@mat.mathematik.uni-mainz.de)
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PostPosted: Mon Sep 01, 1997 12:24 pm    
Subject: Preprint: Applications of Spherical Wavelets
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#7 Preprint: Applications of Spherical Wavelets

I would like to present some new preprints on extensions and
applications of a preprint announced previously in Vol. 5 No. 10
(Dec 1996) of the Wavelet Digest. All files can be obtained by
anonymous FTP in the directory

ftp://ftp.mathematik.uni-mainz.de/pub/publications/misc/Goettelmann

I also can send you a printed copy on request. Please don't hesitate
to contact me if there are any technical problems. Any comments are
appreciated.

Short description of the preprints:

1. wavelets_on_sphere.ps:
As announced in Vol. 5, No. 10.

2. wavelets_on_manifolds.ps:
Extension of the first preprint to smooth closed manifolds.

3. compression.ps:
Applications of the above construction to the compression of
global atmospheric data.

4. advection.ps:
Description of an adaptive wavelet Galerkin method for the numerical
solution of PDEs in spherical geometry. The scalar advection equation
is studied in detail. The adaptive algorithm is compared to the
underlying singlescale spline algorithm. It is more efficient when
the compression rate is suffiently small. The accuracy and the
computational complexity in dependence of the control parameters
of the adaption strategy can be determined a priori.

Best regards, Jochen Goettelmann
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