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


Citation
Stepanenko A (2021). Spectral inclusion and pollution for a class of dissipative perturbations - data. Cardiff University. http://doi.org/10.17035/d.2021.0125587613



Access Rights: Data is provided under a Creative Commons Attribution (CC BY 4.0) licence

Access Method: Click to email a request for this data to opendata@cardiff.ac.uk


Cardiff University Dataset Creators


Dataset Details

Publisher: Cardiff University

Date (year) of data becoming publicly available: 2021

Data format: python pickle file

Software Required: Python pickle module

Estimated total storage size of dataset: Less than 100 megabytes

Number of Files In Dataset: 13

DOI : 10.17035/d.2021.0125587613

DOI URL: http://doi.org/10.17035/d.2021.0125587613

Related URL: https://aip.scitation.org/doi/full/10.1063/5.0028440


Description

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).


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Last updated on 2021-07-09 at 08:32