An Alternative Scheme for the Summation of a Series of Spherical Harmonics

P. E. Merilees National Center for Atmospheric Research, Boulder, Colo. 80302

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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.

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.

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