@TechReport{	  it:2018-012,
  author	= {Sven-Erik Ekstr{\"o}m and Stefano Serra-Capizzano},
  title		= {Eigenvalue Isogeometric Approximations Based on
		  {B}-splines: Tools and Results},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2018},
  number	= {2018-012},
  month		= jul,
  abstract	= {In such a short note we consider the spectral analysis of
		  large matrices coming from the numerical approximation of
		  the eigenvalue problem \[ -(a(x)u'(x))'=\lambda b(x)
		  u(x),\quad\quad x\in (0,1), \] 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.}
}