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Spectral inclusion and pollution for a class of dissipative perturbations - data

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posted on 2024-09-18, 10:57 authored by Alexei StepanenkoAlexei Stepanenko

Dissipative barriers are a class of perturbations for differential operators, that can be utilised to help numerically compute eigenvalues. This dataset is comprised of numerical computations of the eigenvalues of three example of differential operators perturbed by dissipative barriers. These were used in the paper ''Spectral inclusion and pollution for a class of dissipative perturbations'' (DOI: 10.1063/5.0028440, freely available at arXiv:2006.10097) as illustrations to theoretical results. Please see that paper, in particular Section 5, for more precise information on the contents on the dataset.  The datasets are numpy array (Python programming language) saved as pickle files and can be opened using the pickle package  (see https://docs.python.org/3/library/pickle.html).

Funding

Spectral approximation on metric graphs, on manifolds, and for systems of differential equations. (2018-10-01 - 2022-03-31); Stepanenko, Alexei. Funder: Engineering and Physical Sciences Research Council

DTP 2018-19 Cardiff University (2018-10-01 - 2023-09-30); Phillips, Rhian. Funder: Engineering and Physical Sciences Research Council

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