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Numerical solution of the inverse spectral problem for Bessel operators

✍ Scribed by Rostyslav Hryniv; Paul Sacks

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
541 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

We consider some inverse spectral problems associated with the singular Sturm-Liouville equation

. . , which is obtained by separation of variables in the 3D radial SchrΓΆdinger equation. One approach to such problems involves the use of almost isospectral transformations, by means of which a reduction to a similar problem in the classical = 0 case is possible. In this paper we focus on the development of computational techniques suggested by these ideas.

πŸ“œ SIMILAR VOLUMES

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✍ Gottfried Bruckner; Johannes Elschner πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 191 KB πŸ‘ 1 views

## Abstract We consider the inverse problem of recovering a 2D periodic structure from scattered waves measured above and below the structure. We discuss convergence and implementation of an optimization method for solving the inverse TE transmission problem, following an approach first developed b