An Alternative Scheme for the Summation of a Series of Spherical Harmonics
- 1 February 1973
- journal article
- Published by American Meteorological Society in Journal of Applied Meteorology
- Vol. 12 (1) , 224-227
- https://doi.org/10.1175/1520-0450(1973)012<0224:aasfts>2.0.co;2
Abstract
An alternative algorithm to sum a series of spherical harmonies is presented and tested. The algorithm is approximately 10–20 times faster than a standard method under the condition that both start with only the knowledge of the coefficients. The algorithm does suffer from a precision problem and breaks down when the resolution is too high.Keywords
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