The use of the generalized extended to the limit sparse factorization techniques for the solution of non-linear elliptic and parabolic difference equations

  • Authors:

  • Elias A. Lipitakis

  • Affiliations:

  • Department of Computer Studies, Loughborough University of Technology, Loughborough, United Kingdom

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 1981

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Abstract

Generalized Extended to the Limit LU sparse factorization procedures for the solution of large sparse unsymmetric linear systems of irregular and unsymmetric structure are presented. Composite ''inner-outer'' iterative schemes incorporating these procedures are introduced for solving non-linear elliptic and parabolic difference equations. Applications of the methods on non-linear boundary-value problems are discussed and numerical results are given.