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Avoiding discretization issues for nonlinear eigenvalue problems

Published in arXiv (Cornell University) • May 2, 2023
NobleIDNI2P49W45R88S93
Authors:
Matthew J. Colbrook
,
Alex Townsend

Abstract

The first step when solving an infinite-dimensional eigenvalue problem is often to discretize it. We show that one must be extremely careful when discretizing nonlinear eigenvalue problems. Using examples, we show that discretization can: (1) introduce spurious eigenvalues, (2) entirely miss spectra...

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