In such a short note we consider the spectral analysis of large matrices coming from the numerical approximation of the eigenvalue problem-(a(x)u'(x))'=λ b(x) u(x), x∈ (0,1),where u(0) and u(1) are given, by using isogeometric methods based on B-splines. We give precise estimates for the extremal eigenvalues and global distributional results. The techniques involve dyadic decomposition arguments, the GLT analysis, and basic extrapolation methods.
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