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Analytic Solution of the SN Equations by Integral Transform Technique

  • Marco T. Vilhena
  • Haroldo F. de Campos Velho
  • Cynthia F. Segatto
  • Glênio A. Gonçalves

Abstract

The LTSN method that appeared in the last decades [1, 2], solves the dicrete ordinates equations (SN equations) by the Laplace transform technique in a slab. The main idea is: (i) application of the Laplace transform to the set of SN equations, (ii) analytical solution of the resulting linear system depending on the complex parameter s, and (iii) analytic inversion of the transformed angular flux. The convergence of the LTSJV method was proved in the framework of C0-semigroup theory [3].

Keywords

Cylindrical Geometry Transport Problem Isotropic Scattering Analytic Inversion Result Linear System 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Marco T. Vilhena
  • Haroldo F. de Campos Velho
  • Cynthia F. Segatto
  • Glênio A. Gonçalves

There are no affiliations available

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