A parallel implementation of the Atkinson algorithm for solving a Fredholm equation

  • Authors:
  • Filomena Dias D'Almeida;Paulo Beleza Vasconcelos

  • Affiliations:
  • Faculdade Engenharia Univ. Porto, Porto, Portugal;Faculdade Economia Univ. Porto, Porto, Portugal

  • Venue:
  • VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science
  • Year:
  • 2002

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Abstract

In this paper we study the parallelization of the Atkinson iterative refinement method. This algorithm will be used in conjunction with a projection method to produce an approximate solution of a radiation transfer problem in Astrophysics. The transfer problem is modelled via a Fredholm integral equation of the second kind with weakly singular kernel.