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On fast integration in geoid determination
Abstract. In gravimetric geoid determination, there are three integrals to be evaluated: Stokes, terrain correction and potential. Using geographical grid data, the straightforward evaluation gives an `exact' summation but is very time-consuming. This paper proposes a new method which is based on the modification of the integrated 2D or 3D function into a 1D (spherical distance angle) function applied to an optimal quadrature. The advantages are: a) It is exact (without approximation, especially the singularities have been removed) and can be used for all the three integrals; b) It involves gridded data and is easy to handle; c) It greatly speeds up the computation. A great mountain area, the southern Alps, has been chosen to test the new method. Numerical tests show that: compared with the straightforward evaluation, the new technique consumes on average only 1.23% of CPU time for the three integrals without adversely affecting accuracy.
On fast integration in geoid determination
Abstract. In gravimetric geoid determination, there are three integrals to be evaluated: Stokes, terrain correction and potential. Using geographical grid data, the straightforward evaluation gives an `exact' summation but is very time-consuming. This paper proposes a new method which is based on the modification of the integrated 2D or 3D function into a 1D (spherical distance angle) function applied to an optimal quadrature. The advantages are: a) It is exact (without approximation, especially the singularities have been removed) and can be used for all the three integrals; b) It involves gridded data and is easy to handle; c) It greatly speeds up the computation. A great mountain area, the southern Alps, has been chosen to test the new method. Numerical tests show that: compared with the straightforward evaluation, the new technique consumes on average only 1.23% of CPU time for the three integrals without adversely affecting accuracy.
On fast integration in geoid determination
Jiang, Z. (author) / Duquenne, H. (author)
Journal of Geodesy ; 71
1997
Article (Journal)
English
BKL:
38.73
Geodäsie
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