Spectral Theory & Computational Methods of Sturm-Liouville Problems /
Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems. It surveys questions in the fi...
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| Format: | eBook |
| Language: | English |
| Published: |
CRC Press,
2021.
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| Edition: | 1st. |
| Series: | Lecture notes in pure and applied mathematics ;
v. 191 |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Sturm-Liouville problems; the one dimensional inverse scattering problem for nonhomogeneous media with discontinuous wavespeed; an inverse matrix eigenvalue problem; perturbation theory for a one-term weighted differential operator; on the approximation of eigenvalues of singular Sturm-Liouville problems by those of suitable chosen regular problems; on a regular Sturm-Liouville problem on a finite interval with the eigenvalue parameter appearing linearly in the boundary conditions; the computation of the Titchmarsh-Waylm m-function; Strum-Liouville problems with an infinite number of interior singularities; on generating theorems and conjectures in spectral theory with computer assistance; Sturm-Liouville theory, asymptotics, and the Schrodinger equation; guaranteed numerical bounds for eigenvalues; accurate Sturm-Liouville eigenfunctions computation in mathematical software; SLDRIVER: a tool for exploring SL solvers and SL problems; applications of the Walker method. (Part contents).