NDLI: An Alternative Algorithm to FFT for the Numerical Evaluation of Stokes's Integral

Content Provider	Springer Nature Link
Author	Huang, J. Vaníček, P. vák, P.
Copyright Year	2000
Abstract	Stokes's kernel used for the evaluation of a gravimetric geoid is a function of the spherical distance between the point of interest and the dummy point in the integration. Its values thus are obtained from the positions of pairs of points on the geoid. For the integration over the near integration zone (near to the point of interest), it is advantageous to pre-form an array of kernel values where each entry corresponds to the appropriate locations of the two points, or equivalently, to the latitude and the longitude-difference between the point of interest and a dummy point. Thus, for points of interest on the same latitude, the array of the Stokes kernel values remains the same and may only be evaluated once. Also, only one half of the array need be evaluated because of its longitudinal symmetry: the near zone can be folded along the meridian of the point of interest. Numerical tests show that computation speed improves significantly after this algorithm is implemented. For an area of 5 by 10 arc-degrees with the grid of 5 by 5 arc-minutes, the computation time reduces from half an hour to about 1 minute. To compute the geoid for the whole of Canada (20 by 60 arc-degrees, with the grid of 5 by 5 arc-minutes), it takes only about 17 minutes on a 400MHz PC computer. Compared with the Fast Fourier Transform algorithm, this algorithm is easier to implement including the far zone contribution evaluation that can be done precisely, using the (global) spectral description of the gravity field.
Starting Page	374
Ending Page	380
Page Count	7
File Format	PDF
ISSN	00393169
Journal	Studia Geophysica et Geodaetica
Volume Number	44
Issue Number	3
e-ISSN	15731626
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2000-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Structural Geology Geophysics/Geodesy Meteorology/Climatology
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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