GLQGridCoord()

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

Usage

latglq, longlq = GLQGridCoord (lmax, [extend])

Returns

latglq : float, dimension (lmax+1)

The latitude coordinates of a Gauss-Legendre quadrature grid in degrees.

longlq : float, dimension (nlong)

The longitude coordinates of a Gauss-Lengendre quadrature grid in degrees, dimensioned as (2*lmax+1) when extend is 0 or (2*lmax+2) when extend is 1.

Parameters

lmax : integer

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

extend : input, optional, bool, default = False

If True, include 360 E longitude.

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.