Computing the spectrum of non-self-adjoint Sturm–Liouville problems with parameter-dependent boundary conditions
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摘要
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.
论文关键词：34B24,34L15,34L16,65L10,65L15,Sturm–Liouville problems,Non-self-adjoint eigenvalue problems,Singular Sturm–Liouville problems,Shannon's sampling theory,Regularized sampling method,Whittaker–Shannon–Kotel’nikov theorem
论文评审过程：Received 28 February 2006, Revised 27 June 2006, Available online 17 August 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.06.014
