Minimal perturbation approach implementation in spectral methods

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Abstract

Pseudospectra and minimal perturbation approach (MPA) principles are used and implemented to provide more stability and more rigorous mathematical foundations for the functional expansion multi-domain spectral method (MDSM). The implemented formulation is used to analyze optical waveguides and semiconductor quantum wells. The results show that MDSM formulation based on the MPA is very stable and slightly more accurate as compared to the Tau MDSM.

Original languageEnglish
Pages (from-to)1309-1314
Number of pages6
JournalApplied Mathematics Letters
Volume25
Issue number10
DOIs
Publication statusPublished - 1 Oct 2012

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Keywords

  • Minimal perturbation approach
  • Overdetermined system
  • Pseudospectra
  • Spectral methods

ASJC Scopus subject areas

  • Applied Mathematics

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