Compute the latitude and longitude coordinates used in Gauss-Legendre quadrature grids.

Usage

latglq, longlq = GLQGridCoord (lmax)

Returns

latglq : float, dimension (lmax+1)
The latitude coordinates of a grid, corresponding to the indices [:,0], in degrees.
longlq : float, dimension (2*lmax+1)
The longitude coordinates of a grid, corresponding to the indices [0,:], in degrees. The first node is 0 E.

Parameters

lmax : integer
The maximum spherical harmonic degree that will be integrated exactly by Gauss-Legendre quadrature.

Description

GLQGridCoord will compute the latitude and longitude coordinates that are used in Gauss-Legendre quadrature grids for performing spherical harmonic transforms and reconstructions. The latitudinal nodes correspond to the zeros of the Legendre polynomial of degree lmax+1, and the longitudinal nodes are equally spaced with an interval of 360/(2*lmax+1) degrees.

See also

shglq, shexpandglq, makegridglq, shexpandglqc, makegridglqc

Tags: python
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