FFT-based high-performance spherical harmonic transformation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43898400" target="_blank" >RIV/49777513:23520/11:43898400 - isvavai.cz</a>
Alternative codes found
RIV/67985815:_____/11:00373757
Result on the web
<a href="http://dx.doi.org/10.1007/s11200-011-0029-y" target="_blank" >http://dx.doi.org/10.1007/s11200-011-0029-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11200-011-0029-y" target="_blank" >10.1007/s11200-011-0029-y</a>
Alternative languages
Result language
angličtina
Original language name
FFT-based high-performance spherical harmonic transformation
Original language description
Spherical harmonic transformation is of practical interest in geodesy for transformation of globally distributed quantities such as gravity between space and frequency domains. The increasing spatial resolution of the latest and forthcoming gravitationalmodels pose true computational challenges for classical algorithms since serious numerical instabilities arise during the computation of the respective base functions of the spherical harmonic expansion. A possible solution is the evaluation of the associated Legendre functions in the Fourier domain where numerical instabilities can be circumvented by an independent frequency-wise scaling of numerical coefficients into a numerically suitable double precision range. It is then rather straightforward tocommit global fast data transformation into the Fourier domain and to evaluate subsequently spherical harmonic coefficients.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
DE - Earth magnetism, geodesy, geography
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Studia Geophysica et Geodaetica
ISSN
0039-3169
e-ISSN
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Volume of the periodical
55
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
12
Pages from-to
489-500
UT code for WoS article
000293643000007
EID of the result in the Scopus database
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