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[Licence| Download | New Version Template] abft_v1_0.gz(6 Kbytes)
Manuscript Title: Numerical integration over a spherical shell.
Authors: M. Defranceschi, M. Sarrazin
Program title: R3DGL
Catalogue identifier: ABFT_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 52(1989)409
Programming language: Fortran.
Computer: CRAY 1S.
Operating system: COS 1.14, MVS JES3, 8087.
Word size: 32
Keywords: Numerical, Quadrature, General purpose.
Classification: 4.11.

Nature of problem:
A numerical integration rule is given for the calculation of three dimensional integrals on a spherical coordinate grid: integrals are considered as a weighted sum of integrand values. The program computes the points of the grid where the functions are to be determined and the associated weights. An example of integration is performed to normalize a numerical function.

Solution method:
Points and associated weights determination for numerical integration over a sphere or a spherical shell in separate spherical coordinates.

Running time:
1 second.