ISSN:
1432-1394
Keywords:
Key words. Spherical harmonic analysis
;
Geophysical fields
;
Numerical analysis
Source:
Springer Online Journal Archives 1860-2000
Topics:
Architecture, Civil Engineering, Surveying
Notes:
Abstract. In this paper an alternative approach to spherical harmonic analysis is investigated which uses piecewise linear interpolations (PLIs) to replace conventional block mean values (BMVs). Detailed formulations for using PLIs in spherical harmonic analysis are systematically developed. Research shows that BMVs give rise to larger errors than PLIs. Error estimations for the two approaches are given, convincingly showing that PLIs yield much better results than BMVs. Many numerical examples are illustrated and numerically show that PLIs are more reliable and applicable than BMVs.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s001900050186
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