Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/3176
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dc.contributor.advisorTanoğlu, Gamzeen
dc.contributor.authorKorkut, Sıla Övgü-
dc.date.accessioned2014-07-22T13:51:01Z-
dc.date.available2014-07-22T13:51:01Z-
dc.date.issued2011en
dc.identifier.urihttp://hdl.handle.net/11147/3176-
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2011en
dc.descriptionIncludes bibliographical references (leaves: 61-64)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionix, 83 leavesen
dc.description.abstractIn this thesis, convergency and stability analysis are studied for the non-autonomous differential equations. Not only classical operator splitting methods; Lie Trother splitting, symmetrically weighted splitting and Strang splitting but also iterative splitting method which is recent popular technique of operator splitting methods are considered. We concentrate on how to improve the operator splitting methods with the help of the Magnus expansion. In addition, we construct a new symmetric iterative splitting scheme. Then, we also study its convergence properties by using the concepts of stability, consistency and order. For this purpose, we use C0 semigroup techniques. Finally, several numerical examples are illustrated in order to confirm our theoretical results by comparing the new symmetric iterative splitting method with frequently used operator splitting methods.en
dc.language.isoenen_US
dc.publisherIzmir Institute of Technologyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lcshOperator theoryen
dc.subject.lcshSemigroups of operatorsen
dc.subject.lcshDecomposition methoden
dc.subject.lcshDifferential equations--Numerical solutionsen
dc.subject.lcshNumerical analysisen
dc.subject.lcshStabilityen
dc.titleOperator splitting methods for non-autonomous differential equationsen_US
dc.typeMaster Thesisen_US
dc.institutionauthorKorkut, Sıla Övgü-
dc.departmentIzmir Institute of Technology. Mathematicsen
dc.relation.publicationcategoryTezen_US
item.fulltextWith Fulltext-
item.openairetypeMaster Thesis-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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