Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation

  • Authors:
  • Luca Dieci;Georg Bader

  • Affiliations:
  • School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA;Institute for Mathematics, Technical University Cottbus, Cottbus, D03013 Germany

  • Venue:
  • Applied Numerical Mathematics
  • Year:
  • 1995

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Abstract

We present and implement algorithms for solving linear systems which arise as discretizations of a class of PDEs associated to invariant tori. We consider iterative methods and direct compactification algorithms. Numerical results for linear model problems are given.