Minimal perturbation approach implementation in spectral methods

DOI10.1016/j.aml.2011.11.034zbMath1251.65162OpenAlexW2059852758MaRDI QIDQ452915

Fahhad H. Alharbi

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.11.034

zbMATH Keywords

stabilitynumerical examplesoverdetermined systemHelmholtz equationpseudospectraspectral methodsoptical waveguidesminimal perturbation approachsemiconductor quantum wells

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Statistical mechanics of semiconductors (82D37) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Physical optics (78A10) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Uses Software

• Eigtool

Cites Work

• Meshfree eigenstate calculation of arbitrary quantum well structures
• Spectral methods for numerical relativity
• On spectral variations under bounded real matrix perturbations
• Perturbation theory for rectangular matrix pencils
• More on pseudospectra for polynomial eigenvalue problems and applications in control theory
• Numerical methods for large eigenvalue problems
• Definite Matrix Polynomials and their Linearization by Definite Pencils
• On the Separation of Two Matrices
• Pseudospectra of rectangular matrices
• Estimating the Sensitivity of the Algebraic Structure of Pencils with Simple Eigenvalue Estimates
• On a Generalized Eigenvalue Problem for Nonsquare Pencils
• Shape from Moments—An Estimation Theory Perspective
• Spectral Methods
• The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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