Title

Problems and methods of calculating the Legendre functions of arbitrary degree and order

Journal title

Geodesy and Cartography

Yearbook

2016

Volume

vol. 65

Issue

No 2

Authors

Novikova, Elena ; Dmitrenko, Alexander

Keywords

Fully Normalized Associated Legendre Functions ; recursion ; underflow problem ; overflow problem ; Fukushima method

Divisions of PAS

Nauki Techniczne

Coverage

283-312

Publisher

Polska Akademia Nauk/ Komitet Geodezji Polskiej Akademii Nauk; Polish Academy of Sciences / Commitee on Geodesy Polish Academy of Sciences

Date

2016

Type

Artykuły / Articles

Identifier

DOI: 10.1515/geocart-2016-0017 ; ISSN 2080-6736

Source

Geodesy and Cartography; 2016; vol. 65; No 2; 283-312

References

Holmes (2002), A simple and stable approach to high degree and order spherical harmonic synthesis Vistas for Geodesy in the New Millennium Of the series International Association of, Geodesy Symposia, 125. ; Fukushima (2015), Numerical Computation of Point Values , Derivatives , and Integrals of Associated Legendre Function of the First Kind and Point Values and Derivatives of Oblate Spheroidal Harmonics of the Second Kind of High Degree and Order International of, Association Geodesy Symposia, 145. ; Peng (2004), Algorithms for computing ultra - high - degree disturbing geopotential elements, Acta Geophysica Sinica, 47, 1023. ; Jekeli (2006), Geometric Reference Systems in geodesy : Division of Geodesy and Geospatial Science School of Ohio State University http : www uacg bg filebank att pdf, Earth Science, 202. ; Pavlis (2012), The development and evaluation of the Earth Gravitational Model Geophys, Res, 117.

Aims and scope

The Advances in Geodesy and Geoinformation (formerly “Geodesy and Cartography”) is an open access international journal (semiannual) concerned with the study of scientific problems in the field of geodesy, geoinformation and their related interdisciplinary sciences. The journal has a rigorous peer–review process to ensure the best research publications. It is publishing peer–reviewed original articles on theoretical or modelling studies, and on results of experiments associated with geodesy and geodynamics, geoinformation, cartography and GIS, cadastre and land management, photogrammetry, remote sensing and related disciplines. Besides original research articles, the Advances in Geodesy and Geoinformation also accepts review articles on topical subjects, short notes/letters and communication of a great importance to the readers, and special issues arising from the national/international conferences as well as collection of articles that concentrates on a hot topical research area that falls within the scope of the journal.

Content of Advances in Geodesy and Geoinformation is archived with a long-term preservation service by the National Library of Poland.