WebJan 1, 1982 · For the summation the Clenshaw method is used so that neither the associated Legendre functions (P nm ) (or their derivatives) need to be evaluated … WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): unified approach to the Clenshaw summation and the recursive
Clenshaw Recurrence Formula -- from Wolfram MathWorld
WebTscherning and Poder, "Some Geodetic Applications of Clenshaw Summation", Bollettino di Geodesia e Scienze, (1982) Wahr, Molenaar and Frank, "Time variability of the Earth's gravity field: Hydrological and oceanic effects and their possible detection using GRACE", Journal of Geophysical Research: Solid Earth, 103(B12), 30205-30229, doi:10.1029 ... WebClenshaw summation is extensively used in geodetic applications. [2] A simple application is summing the trigonometric series to compute the meridian arc distance on the surface of an ellipsoid. These have the form. Leaving off the initial term, the remainder is a summation of the appropriate form. cultural recognition day
gravity-toolkit/sea_level_equation.py at main - Github
WebAug 16, 2013 · the use of Clenshaw summation in connection with the ellipsoid and its mapping. This work, here referred to as KW, provides a wealth of series expansions, mo- … WebMay 1, 2002 · Spherical harmonic expansions form partial sums of fully normalised associated Legendre functions (ALFs). However, when evaluated increasingly close to the poles, the ultra-high degree and order (e.g. 2700) ALFs range over thousands of orders of magnitude. This causes existing recursion techniques for computing values of individual … WebSummation Paths in Clenshaw-Curtis Quadrature S. Adam 1, 2,a and Gh. Adam,,b 1Laboratory of Information Technologies, Joint Institute for Nuclear Research, 6, Joliot Curie St., 141980 Dubna ... marghani-techno.c1.biz