Pseudospectra implementation in multi-domain spectral method

Fahhad Alharbi

doi:10.1109/ICCRD.2010.128

Pseudospectra implementation in multi-domain spectral method

Fahhad Alharbi^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	2nd International Conference on Computer Research and Development, ICCRD 2010
Pages	526-529
Number of pages	4
DOIs	https://doi.org/10.1109/ICCRD.2010.128
State	Published - 2010
Externally published	Yes

Publication series

Name	2nd International Conference on Computer Research and Development, ICCRD 2010

Keywords

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

ASJC Scopus subject areas

Computer Science (miscellaneous)

Access to Document

10.1109/ICCRD.2010.128

Cite this

@inproceedings{e14b2df723e3435ebab86cf9236ed084,

title = "Pseudospectra implementation in multi-domain spectral method",

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.",

keywords = "Eigenvalues., Minimal perturbation approach, Multi-domain spectral method, Pseudospectra, Spectral method",

author = "Fahhad Alharbi",

year = "2010",

doi = "10.1109/ICCRD.2010.128",

language = "English",

isbn = "9780769540436",

series = "2nd International Conference on Computer Research and Development, ICCRD 2010",

pages = "526--529",

booktitle = "2nd International Conference on Computer Research and Development, ICCRD 2010",

}

Pseudospectra implementation in multi-domain spectral method. / Alharbi, Fahhad.
2nd International Conference on Computer Research and Development, ICCRD 2010. 2010. p. 526-529 5489602 (2nd International Conference on Computer Research and Development, ICCRD 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Alharbi, Fahhad

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Eigenvalues.

KW - Minimal perturbation approach

KW - Multi-domain spectral method

KW - Pseudospectra

KW - Spectral method

UR - https://www.scopus.com/pages/publications/77955188066

U2 - 10.1109/ICCRD.2010.128

DO - 10.1109/ICCRD.2010.128

M3 - Conference contribution

AN - SCOPUS:77955188066

SN - 9780769540436

T3 - 2nd International Conference on Computer Research and Development, ICCRD 2010

SP - 526

EP - 529

BT - 2nd International Conference on Computer Research and Development, ICCRD 2010

ER -

Pseudospectra implementation in multi-domain spectral method

Abstract

Publication series

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this