Milne, a routine for the numerical solution of Milne's problem

The routine Milne provides accurate numerical values for the classical Milne's problem of neutron transport for the planar one speed and isotropic scattering case. The solution is based on the Case eigen-function formalism. The relevant X functions are evaluated accurately by the Double Exponential quadrature. The calculated quantities are the extrapolation distance and the scalar and the angular fluxes. Also, the H function needed in astrophysical calculations is evaluated as a byproduct.Program summaryProgram title: MilneCatalogue identifier: AEGS_v1_0Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEGS_v1_0.htmlProgram obtainable from: CPC Program Library, Queen's University, Belfast, N. IrelandLicensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.htmlNo. of lines in distributed program, including test data, etc.: 701No. of bytes in distributed program, including test data, etc.: 6845Distribution format: tar.gzProgramming language: Fortran 77Computer: PC under Linux or WindowsOperating system: Ubuntu 8.04 (Kernel version 2.6.24-16-generic), Windows-XPClassification: 4.11, 21.1, 21.2Nature of problem: The X functions are integral expressions. The convergence of these regular and Cauchy Principal Value integrals are impaired by the singularities of the integrand in the complex plane. The DE quadrature scheme tackles these singularities in a robust manner compared to the standard Gauss quadrature.Running time: The test included in the distribution takes a few seconds to run.