Numerical experiments on column-wise recurrence formula to compute fully normalized associated Legendre functions of ultra-high degree and order-Reference-Cited by-同舟云学术

Numerical experiments on column-wise recurrence formula to compute fully normalized associated Legendre functions of ultra-high degree and order

Published:2019-12-21 Issue:1 Volume:94 Page:
ISSN:0949-7714
Container-title:Journal of Geodesy
language:en
Short-container-title:J Geod

Author:

Xing Zhibin^ORCID,Li Shanshan,Tian Miao,Fan Diao,Zhang Chi

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/s00190-019-01331-0.pdf

Reference42 articles.

1. Balmino G, Vales N, Bonvalot S, Briais A (2011) Spherical harmonic modelling to ultra-high degree of Bouguer and isostatic anomalies. J Geodesy 86:499–520. https://doi.org/10.1007/s00190-011-0533-4

2. Belikov MV (1991) Spherical harmonic analysis and synthesis with the use of column-wise recurrence relations. Manuscr Geod 16:384–410

3. Belikov MV, Taybatorov KA (1992) An efficient algorithm for computing the Earth’s gravitational potential and its derivatives at satellite altitudes. Manuscr Geod 17:104–116

4. Bettadpur SV (1995) Hotine’s geopotential formulation: revisited. Bull Géodésique 69:135–142

5. Bucha B, Janák J (2013) A MATLAB-based graphical user interface program for computing functionals of the geopotential up to ultra-high degrees and orders. Comput Geosci 56:186–196. https://doi.org/10.1016/j.cageo.2013.03.012

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Combined algorithms of high-frequency topographical effects for the boundary-value problems based on Helmert's second condensation method;Journal of Geodesy;2024-06

2. GNSS standard point positioning method based on spherical harmonic expansion of signal propagation path relating errors;Advances in Space Research;2023-08

3. New methods for numerical evaluation of ultra-high degree and order associated Legendre functions;Studia Geophysica et Geodaetica;2022-10

4. Applicability of standard forward column/row recurrence equations for ALFs;Applied Geophysics;2022-09

5. Analytical and numerical study of diffusion and localization of cold atoms in 3D optical speckles;Indian Journal of Physics;2022-07-24