Publication
Symbolic computation applied to cauchy type singular integrals
| dc.contributor.author | Conceição, Ana C. | |
| dc.contributor.author | Pires, Jéssica C. | |
| dc.date.accessioned | 2022-02-28T15:50:48Z | |
| dc.date.available | 2022-02-28T15:50:48Z | |
| dc.date.issued | 2021-12-31 | |
| dc.date.updated | 2022-02-24T14:50:03Z | |
| dc.description.abstract | The development of operator theory is stimulated by the need to solve problems emerging from several fields in mathematics and physics. At the present time, this theory has wide applications in the study of non-linear differential equations, in linear transport theory, in the theory of diffraction of acoustic and electromagnetic waves, in the theory of scattering and of inverse scattering, among others. In our work, we use the computer algebra system <i>Mathematica</i> to implement, for the first time on a computer, analytical algorithms developed by us and others within operator theory. The main goal of this paper is to present new operator theory algorithms related to Cauchy type singular integrals, defined in the unit circle. The design of these algorithms was focused on the possibility of implementing on a computer all the extensive symbolic and numeric calculations present in the algorithms. Several nontrivial examples computed with the algorithms are presented. The corresponding source code of the algorithms has been made available as a supplement to the online edition of this article. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Mathematical and Computational Applications 27 (1): 3 (2022) | pt_PT |
| dc.identifier.doi | 10.3390/mca27010003 | pt_PT |
| dc.identifier.issn | 2297-8747 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/17619 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | MDPI | pt_PT |
| dc.relation | Center for Functional Analysis, Linear Structures and Applications | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Symbolic computation | pt_PT |
| dc.subject | Operator theory algorithms | pt_PT |
| dc.subject | Cauchy projection operators | pt_PT |
| dc.subject | Singular integrals | pt_PT |
| dc.subject | Wolfram Mathematica | pt_PT |
| dc.title | Symbolic computation applied to cauchy type singular integrals | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center for Functional Analysis, Linear Structures and Applications | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04721%2F2020/PT | |
| oaire.citation.issue | 1 | pt_PT |
| oaire.citation.startPage | 3 | pt_PT |
| oaire.citation.title | Mathematical and Computational Applications | pt_PT |
| oaire.citation.volume | 27 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Guerra | |
| person.givenName | Ana | |
| person.identifier.ciencia-id | 751D-F809-AB4D | |
| person.identifier.orcid | 0000-0001-7103-3588 | |
| person.identifier.rid | D-9456-2013 | |
| person.identifier.scopus-author-id | 17345059500 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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