Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers: II first-, second-, and third-order derivatives-Reference-Cited by-同舟云学术

Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers: II first-, second-, and third-order derivatives

Published:2012-04-13 Issue:11 Volume:86 Page:1019-1028
ISSN:0949-7714
Container-title:Journal of Geodesy
language:en
Short-container-title:J Geod

Author:

Fukushima Toshio

Publisher

Springer Science and Business Media LLC

Subject

Computers in Earth Sciences,Geochemistry and Petrology,Geophysics

Link

http://link.springer.com/content/pdf/10.1007/s00190-012-0561-8.pdf

Reference14 articles.

1. Bosch W (2000) On the computation of derivatives of Legendre functions. Phys Chem Earth 25: 655–659

2. Fantino E, Casotto S (2009) Methods of harmonic synthesis for global geopotential models and their first-, second- and third-order gradients. J Geod 83: 595–619

3. Fukushima T (2012) Numerical computation of spherical harmonics of arbitrary degree and order by extending exponent of floating point numbers. J Geod 86: 271–285

4. Heiskanen WA, Moritz H (1967) Physical Geodesy. Freeman and Co, San Francisco

5. Holmes SA, Featherstone WE (2002a) A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalized associated Legendre functions. J Geod 76: 279–299

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