A numerical investigation of the quadratic numerical range of Hain-Lüst operators

DOI10.1080/00207160.2013.780049zbMath1285.65050OpenAlexW1986272873MaRDI QIDQ2874320

Ahmed Muhammad, Marco Marlettta

Publication date: 29 January 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.780049

zbMATH Keywords

numerical examplefinite difference approximationsquadratic numerical rangeeigenvalues of block operator matricesHain-Lüst operatorsStokes-type operator

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Pseudospectrum enclosures by discretization ⋮ A novel approach to investigate the stability analysis and the dynamics of reaction-diffusion SVIR epidemic model ⋮ Detectable subspaces and inverse problems for Hain-Lüst-type operators ⋮ Computing the S-numerical ranges of differential operators ⋮ Spectral inclusion property for a class of block operator matrices ⋮ Krylov type methods for linear systems exploiting properties of the quadratic numerical range ⋮ A numerical investigation of the \(c\)-\textit{numerical ranges} of differential operators

Cites Work

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• Perturbation theory for linear operators.
• Variational principles for eigenvalues of self-adjoint operator functions
• Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter

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