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Essential soft tools for hard spectral computations

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GSTW03 - Interactions of geometric spectral theory with numerical methods and applications

In this talk I shall review the concept of limiting essential spectrum and several different concepts of essentialnumerical range, including for pencils, and discuss how they may be used to examine or exclude spectral pollution phenomena when treating differential operators numerically. Examples we can treat include Schroedinger operators with Stark potentials, and Maxwell systems with spectra depending upon their domains in an unstable way.

This talk is part of the Isaac Newton Institute Seminar Series series.

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