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High order compact finite difference schemes on nonuniform grids

dc.contributor.authorČiegis, Raimondas
dc.contributor.authorSuboč, Olga
dc.date.accessioned2023-09-18T17:14:33Z
dc.date.available2023-09-18T17:14:33Z
dc.date.issued2018
dc.identifier.issn0168-9274
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/121118
dc.description.abstractIn this paper we consider high-order compact finite difference schemes constructed on 1D non-uniform grids. We apply them to parabolic and Schr{\" o}\-din\-ger equations. Stability of these schemes is investigated by using the spectral method. Computer experiments are applied in order to find critical grids for which the stability condition is violated. Such grids are obtained for the Schr{\" o}dinger problem, but not for the parabolic problems. Numerical examples supporting our theoretical analysis are provided and discussed.eng
dc.formatPDF
dc.format.extentp. 205-218
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyZentralblatt MATH (zbMATH)
dc.relation.isreferencedbyCompendex
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyScienceDirect
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.source.urihttps://doi.org/10.1016/j.apnum.2018.06.003
dc.subjectFM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes
dc.titleHigh order compact finite difference schemes on nonuniform grids
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references18
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.ltspecializationsL104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies
dc.subject.enFinite difference schemes
dc.subject.ennon-uniform grids
dc.subject.enhigh-order approximation
dc.subject.enstability
dc.subject.enconvergence
dcterms.sourcetitleApplied numerical mathematics
dc.description.volumevol. 132
dc.publisher.nameElsevier
dc.publisher.cityAmsterdam
dc.identifier.doi000439538600013
dc.identifier.doi2-s2.0-85048704961
dc.identifier.doi10.1016/j.apnum.2018.06.003
dc.identifier.elaba29710516


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