Abstract
Spectral approximation of differential operators arises in several fields of applied mathematics. The numerical discretization of this kind of operators produces, in some cases, spurious results, a phenomenon called “spectral pollution”. In this paper, we propose sufficient conditions to deal with spectral pollution using the so-called “generalized spectrum method”. As an application, we will treat Schrödinger’s operator.
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Acknowledgements
We appreciate the editor’s and referee’s time and efforts in reviewing this manuscript. We thank them very much for the encouraging comments and proposals that have significantly improved our paper.
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Communicated by Jose Alberto Cuminato.
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Khellaf, A., Guebbai, H., Lemita, S. et al. Eigenvalues computation by the generalized spectrum method of Schrödinger’s operator. Comp. Appl. Math. 37, 5965–5980 (2018). https://doi.org/10.1007/s40314-018-0673-8
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DOI: https://doi.org/10.1007/s40314-018-0673-8