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Matrix Representations of Sturm–Liouville Problems with Finite Spectrum

✍ Scribed by Qingkai Kong; Hans Volkmer; Anton Zettl

Publisher
Springer
Year
2009
Tongue
English
Weight
460 KB
Volume
54
Category
Article
ISSN
1422-6383

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📜 SIMILAR VOLUMES

Sturm–Liouville Problems with Finite Spe
Sturm–Liouville Problems with Finite Spectrum
✍ Q. Kong; H. Wu; A. Zettl 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 122 KB

For every positive integer n, we construct a class of regular self-adjoint and nonself-adjoint Sturm-Liouville problems with exactly n eigenvalues. These n eigenvalues can be located anywhere in the complex plane in the non-self-adjoint case and anywhere along the real line in the self-adjoint case.

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Corrected finite difference eigenvalues of periodic Sturm–Liouville problems
✍ D.J. Condon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 78 KB

Computation of eigenvalues of regular Sturm-Liouville problems with periodic boundary conditions is considered. We show that a proof similar to that given by Andrew (1989) can be used to prove that a correction technique applied to a finite difference scheme given by Vanden Berghe et al. (1995) redu