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SUMMARY:On the limit of second order spectra and the eigenvalues of self-a
 djoint operators. - Lyonell Boulton (Heriot-Watt University\, Edinburgh)
DTSTART:20101021T140000Z
DTEND:20101021T150000Z
UID:TALK27474@talks.cam.ac.uk
CONTACT:Dr Shadrin
DESCRIPTION:Let A be a self-adjoint operator acting on a Hilbert space. Th
 e notion of second order spectrum of A relative to a given finite-dimensio
 nal subspace of its domain has been studied recently in connection with th
 e phenomenon of spectral pollution in the Galerkin method. We will examine
  in this talk a general framework allowing us to determine how the second 
 order spectrum encodes precise information about the multiplicity of the i
 solated eigenvalues of A. The theoretical findings presented will be suppo
 rted by various numerical experiments on the computation of inclusions for
  eigenvalues in benchmark models via finite element bases.\n
LOCATION:CMS\, MR14
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