Spectral theory and computational methods of Sturm-Liouville problems Proc. Tennessee

Don Hinton0824700309, 9780824700300, 9780585327693

Presenting the proceedings of a recent conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this timely volume covers both qualitative and computational theory of Sturm-Liouville problems – surveying current questions in the field as well as describing novel applications and concepts. Spectral Theory and Computational Methods of Sturm-Liouville Problems reviews boundary value problems for ordinary differential equations…details the dependence of eigenvalues on parameters of the problem, such as interval endpoints, boundary conditions, and coefficients of the equation…addresses the question of approximating singular problems by regular ones…proposes accurate approaches to software computation of eigenfunctions from a small set of values…discusses methods for eigenvalue computation of bounds and enclosures…reconstructs wavespeed in a nonhomogeneous medium from scattering data…furnishes important applications in optical fiber design, chemical photodissociation, and interface conditions…and more. Containing references, drawings, tables, and 1400 display equations, this excellent self-contained resource of active research is indispensable for theoretical and applied mathematicians; computational physicists, numerical analysts, and computer scientists specializing in scientific computing; mechanical engineers; and graduate students in these disciplines.