Computing the spectrum of non self-adjoint Sturm-Liouville problems with parameter dependent boundary conditions

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

10.1016/j.cam.2006.06.014

This paper deals with the computation of the eigenvalues of non self-adjoint
Sturm-Liouville problems with parameter dependent boundary conditions using the
\textit{regularized sampling method}. A few numerical examples among which
singular ones will be presented to illustrate the merit of the method and
comparison made with the exact eigenvalues when they are available.

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