An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm-Liouville problems

DOI10.1016/j.matcom.2022.03.014OpenAlexW4220999965MaRDI QIDQ2672348

Anis Haytham Saleh Taher

Publication date: 8 June 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.03.014

zbMATH Keywords

eigenvaluesspectral collocation methodChebyshev differentiation matrixnon-self-adjoint Sturm-Liouville problems

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Least squares \(h\)-\(p\) spectral element method for elliptic eigenvalue problems
• \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains
• Mapped barycentric Chebyshev differentiation matrix method for the solution of regular Sturm-Liouville problems
• On symmetrizing the ultraspherical spectral method for self-adjoint problems
• Galerkin schemes and the sinc-Galerkin method for singular Sturm- Liouville problems
• Automatic solution of Sturm-Liouville problems using the Pruess method
• Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems
• Computing high-index eigenvalues of singular Sturm-Liouville problems
• Floquet theory for left-definite Sturm-Liouville problems
• Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions
• The completeness of eigenfunctions of perturbation connected with Sturm-Liouville operators
• Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method
• Approximate computation of eigenvalues with Chebyshev collocation method
• Numerical Solution of Non--Self-Adjoint Sturm--Liouville Problems and Related Systems
• Sampling and Eigenvalues of Non-Self-Adjoint Sturm--Liouville Problems
• Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems
• Spectral Methods
• Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics
• NON-SELF-ADJOINT DIFFERENTIAL OPERATORS
• Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
• The Determinant Method for Nonselfadjoint Singular Sturm — Liouville Problems
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Pseudo–spectra, the harmonic oscillator and complex resonances
• Eigenvalue bounds for the singular Sturm Liouville problem with a complex potential
• Spectral Methods in MATLAB
• The detection and monitoring of leukemia using electromagnetic waves: numerical analysis
• Spectral Methods for Non-Standard Eigenvalue Problems
• On Characteristic Value Problems in High Order Differential Equations Which Arise in Studies on Hydrodynamic and Hydromagnetic Stability

This page was built for publication: An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm-Liouville problems