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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations -
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- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
- ISSN
- 1661-8270
- eISSN
- 1661-8289
- DOI
- 10.1007/s11786-022-00526-7
- Publisher site
- See Article on Publisher Site
Abstract
This paper presents implementation details of an extension of the algebraic formulation for the spectral Tau method for the numerical solution of time-space partial differential problems, together with illustrative numerical examples. This extension implementation highlights (i) the orthogonal basis choice, (ii) the construction of the problem’s algebraic representation and (iii) the mechanisms to tackle certain partial differential problems with ease. This effort will be delivered to the scientific community as a crucial building block of the Tau Toolbox (a numerical library for the solution of integro-differential problems).
Journal
Mathematics in Computer Science – Springer Journals
Published: Mar 1, 2022
Keywords: Spectral methods; Partial differential systems of equations; 65M07; 65N35