Show simple item record

dc.contributor.advisorTanoğlu, Gamzeen
dc.contributor.authorKanat, Bengien
dc.date.accessioned2014-07-22T13:52:18Z
dc.date.available2014-07-22T13:52:18Z
dc.date.issued2006en
dc.identifier.urihttp://hdl.handle.net/11147/3754
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2006en
dc.descriptionIncludes bibliographical references (leaves: 50-51)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionix, 62 leavesen
dc.description.abstractIn this study, the differential equation known as Lie-type equation where the solutions of the equation stay in the Lie-Group is considered. The solution of this equation can be represented as an infinite series whose terms consist of integrals and commutators, based on the Magnus Series. This expansion is used as a numerical geometrical integrator called Magnus Series Method, to solve this type of equations. This method which is also one of the Lie-Group methods, has slower error accumulation and more efficient computation results during the long time interval than classical numerical methods such as Runge-Kutta, since it preserves the qualitative features of the exact solutions. Several examples are considered including linear and nonlinear oscillatory problems to illustrate the efficiency of the method.en
dc.language.isoeng
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lccQA372. K16 2006en
dc.subject.lcshDifferential equations--Numerical solutionsen
dc.titleNumerical solution of highly oscillatory differential equations by Magnus Series Methoden
dc.typemasterThesisen
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen
dc.relation.publicationcategoryTezen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record