2026-10-15T10:19:17Z https://data.mendeley.com/oai

oai:data.mendeley.com/nppz4y7wg7.1 2018-08-03T08:12:42Z

Ballantyne, John SHAVEL: A program for the spherical harmonic analysis of a horizontal vector field sampled in an equiangular grid on a sphere Mendeley Data A method for performing a spherical harmonic analysis, using observed horizontal components of a tangent vector on a sphere, is presented. The vector data samples are assumed to be provided in an equiangular grid, which essentially simplifies the least-squares analysis by making use of (1) the block diagonal structure of the normal equations of least squares; (2) the even–odd symmetry of the associated Legendre functions, and (3) the fast Fourier transform of mix-radix. The correct function of the program and its numerical precision is verified by applying it to a data set, derived by evaluating a given set of vector spherical harmonic coefficients. That the program works correctly is demonstrated by the excellent agreement between the input and output spherical harmonic coefficients. Computational Physics Martinec, Zdeněk Einšpigel , David Dataset doi:10.17632/nppz4y7wg7.1 oai:data.mendeley.com/nppz4y7wg7.1 GNU Public License Version 3 http://www.gnu.org/licenses/gpl-3.0.en.html https://data.mendeley.com/datasets/nppz4y7wg7 2018-08-03T08:12:42Z