Spectral theory and computational methods of Sturm-Liouville problems
著者
書誌事項
Spectral theory and computational methods of Sturm-Liouville problems
（Lecture notes in pure and applied mathematics, v. 191）
Marcel Dekker, 1997
- : pbk
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注記
Proceedings of a 1996 conference held at the University of Tennessee, Knoxville, in conjunction with the presentation of the 26th Barrett memorial lecture series
Includes index
内容説明・目次
内容説明
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.
目次
- 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).
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