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Spectral Theory & Computational Methods of Sturm-Liouville Problems de Don Hinton

Spectral Theory & Computational Methods of Sturm-Liouville Problems: Lecture Notes in Pure and Applied Mathematics

Autor Don Hinton
en Limba Engleză Paperback – 6 mai 1997
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.
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Specificații

ISBN-13: 9780824700300
ISBN-10: 0824700309
Pagini: 416
Ilustrații: illustrations
Dimensiuni: 210 x 280 x 18 mm
Greutate: 0.73 kg
Ediția:New.
Editura: CRC Press
Colecția CRC Press
Seria Lecture Notes in Pure and Applied Mathematics

Locul publicării:Boca Raton, United States

Public țintă

Professional

Cuprins

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).

Notă biografică

Don Hinton (University of Tennessee, Knoxville, USA)

Descriere

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.