Pseudospectra implementation in multi-domain spectral method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Pseudospectra and minimal perturbation approach (MPA) principles are used and implemented to provide more rigorous mathematical foundations for functional expansion multi domain spectral method (MDSM). The implemented formulation is used to analyze optical waveguide and semiconductor quantum well. The results show that MDSM formulation based on MPA is very stable and slightly more accurate when compared to Tau MDSM. Pseudospectra provides more rigorous mathematical foundations for approximated eigenvalues of overdetermined systems (nonsquare matrix pencil), which is common in numerical formulations.

Original languageEnglish
Title of host publication2nd International Conference on Computer Research and Development, ICCRD 2010
Pages526-529
Number of pages4
DOIs
Publication statusPublished - 9 Aug 2010
Event2nd International Conference on Computer Research and Development, ICCRD 2010 - Kuala Lumpur, Malaysia
Duration: 7 May 201010 May 2010

Publication series

Name2nd International Conference on Computer Research and Development, ICCRD 2010

Other

Other2nd International Conference on Computer Research and Development, ICCRD 2010
CountryMalaysia
CityKuala Lumpur
Period7/5/1010/5/10

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Keywords

  • Eigenvalues.
  • Minimal perturbation approach
  • Multi-domain spectral method
  • Pseudospectra
  • Spectral method

ASJC Scopus subject areas

  • Computer Science (miscellaneous)

Cite this

Alharbi, F. (2010). Pseudospectra implementation in multi-domain spectral method. In 2nd International Conference on Computer Research and Development, ICCRD 2010 (pp. 526-529). [5489602] (2nd International Conference on Computer Research and Development, ICCRD 2010). https://doi.org/10.1109/ICCRD.2010.128