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Reduced order models based on pod method for Schrödinger equations

dc.contributor.authorJankevičiūtė, Gerda
dc.contributor.authorLeonavičienė, Teresė
dc.contributor.authorČiegis, Raimondas
dc.contributor.authorBugajev, Andrej
dc.date.accessioned2023-09-18T19:59:09Z
dc.date.available2023-09-18T19:59:09Z
dc.date.issued2013
dc.identifier.issn1392-6292
dc.identifier.other(BIS)VGT02-000027423
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/145553
dc.description.abstractReduced-order models (ROM) are developed using the proper orthogo- nal decomposition (POD) for one dimensional linear and nonlinear Schrödinger equations. The main aim of this paper is to study the accuracy and robustness of the ROM approximations. The sensitivity of generated optimal basis functions on various pa- rameters of the algorithms is discussed. Errors between POD approximate solutions and exact problem solutions are calculated. Results of numerical experiments are presented.eng
dc.formatPDF
dc.format.extentp. 694-707
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyIndex Copernicus
dc.relation.isreferencedbyMathSciNet
dc.relation.isreferencedbyINSPEC
dc.relation.isreferencedbyICONDA
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyZentralblatt MATH (zbMATH)
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.source.urihttp://www.tandfonline.com/doi/pdf/10.3846/13926292.2013.870611
dc.titleReduced order models based on pod method for Schrödinger equations
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.accessRightsIDS Number: 278BH
dcterms.references20
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.enReduced order model
dc.subject.enProper orthogonal decomposition
dc.subject.enSchrödinger equation
dcterms.sourcetitleMathematical modelling and analysis : the Baltic journal on mathematical applications, numerical analysis and differential equations
dc.description.issueno. 5
dc.description.volumeVol. 18
dc.publisher.nameTechnika
dc.publisher.cityVilnius
dc.identifier.doi000328862500008
dc.identifier.doi10.3846/13926292.2013.870611
dc.identifier.elaba4049808


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