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Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions. (English) Zbl 1117.65117
Summary: This paper deals with the computation of the eigenvalues of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions using the 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.

MSC:
65L15Eigenvalue problems for ODE (numerical methods)
34B24Sturm-Liouville theory
34L16Numerical approximation of eigenvalues and of other parts of the spectrum
Software:
SLEDGE
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References:
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