Using piecewise linear interpolations in spherical harmonic analysis

被引：0
|
作者：
S. Bian
J. Menz
机构：
[1] Institut für Markscheidewesen und Geodäsie,
[2] TU Bergakademie Freiberg,undefined
[3] D-09599 Freiberg,undefined
[4] Germany Tel: +49 3731 392961; fax: +49 3731 393601; e-mail: bian@orion.hrz.tu-freiberg.de,undefined
来源：
Journal of Geodesy | 1998年 / 72卷
关键词：
Key words. Spherical harmonic analysis; Geophysical fields; Numerical analysis;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：473 / 481
页数：8
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