SHTSWZ

DCL:MATH2:SHTLIB: Spherical Harmonic Functions: Explanation of Subroutines

4.3.16 SHTSWZ

1.

Function

Performs inverse Legendre transformation, which corresponds to the first half of the inverse spectral transformation, only for the zonal component.

2.

Definition

Transforms spectral data S^m_ninto wave data W^m_(&phi)only for the zonal component m=0. See SHTS2W for equations of transformation.

3.

Call

SHTSWZ(MM,JM,ISW,S,WZ,WORK)

4.

Explanation of Parameters

MM (I) Input parameter. The cut-off wavenumber (M).

JM (I) Input parameter. 1/2 of the NS partition number (J).

ISW (I) Input parameter. Specifies the type of transformation. (See SHTS2W.)

S (R) Input parameter. Spectral data. (For length and arrangement, see SHTNML.)

WZ (R) Output parameter. Stores. W⁰_(&phi). An array of length 2*JM+1. (See Notes for arrangement of array.)

WORK (R) Working area initialized by SHTINT.

5.

Notes

(a): When WZ(-JM:JM) is declared in advance, W⁰_{(&phi j)} is stored in WZ(J).

`MM`	`(I)`	Input parameter. The cut-off wavenumber (M).
`JM`	`(I)`	Input parameter. 1/2 of the NS partition number (J).
`ISW`	`(I)`	Input parameter. Specifies the type of transformation. (See `SHTS2W`.)
`S`	`(R)`	Input parameter. Spectral data. (For length and arrangement, see `SHTNML`.)
`WZ`	`(R)`	Output parameter. Stores. W⁰_(&phi). An array of length `2*JM+1`. (See Notes for arrangement of array.)
`WORK`	`(R)`	Working area initialized by `SHTINT`.