Nonlinear eigenvalue problems with symmetry

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this paper we use the conjugate gradient predictor corrector method (CGPCM) in the context of continuation methods. By exploiting symmetry in certain nonlinear eigenvalue problems, we can decompose the centered difference discretization matrices into small ones and reduce computational cost. We use the cyclic group of order two to divide the system into two smaller systems. We reduce the cost and the computational time by combining CGPCM with the idea of the exploiting symmetries. Theoretical and numerical results are presented. Conclusions are given.

Original languageEnglish
Pages (from-to)931-941
Number of pages11
JournalChaos, Solitons and Fractals
Issue number5
Publication statusPublished - Mar 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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