1st Edition

Spectral Theory & Computational Methods of Sturm-Liouville Problems

By Don Hinton Copyright 1997
    416 Pages
    by CRC Press

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    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 field as well as describing applications and concepts.

    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).