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dc.contributor.advisorTanoğlu, Gamzeen
dc.contributor.authorİneci, Pınaren
dc.date.accessioned2014-07-22T13:53:06Z
dc.date.available2014-07-22T13:53:06Z
dc.date.issued2009en
dc.identifier.urihttp://hdl.handle.net/11147/4062
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2009en
dc.descriptionIncludes bibliographical references (leaves: 79)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionxii, 115leavesen
dc.description.abstractGeometric numerical integration is relatively new area of numerical analysis The aim of a series numerical methods is to preserve some geometric properties of the flow of a differential equation such as symplecticity or reversibility In this thesis, we illustrate the effectiveness of geometric integration methods. For this purpose symplectic Euler method, adjoint of symplectic Euler method, midpoint rule, Störmer-Verlet method and higher order methods obtained by composition of midpoint or Störmer-Verlet method are considered as geometric integration methods. Whereas explicit Euler, implicit Euler, trapezoidal rule, classic Runge-Kutta methods are chosen as non-geometric integration methods. Both geometric and non-geometric integration methods are applied to the Kepler problem which has three conserved quantities: energy, angular momentum and the Runge-Lenz vector, in order to determine which those quantities are preserved better by these methods.en
dc.language.isoengen
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lccQA614.83 .I429 2009en
dc.subject.lcshHamiltonian systemsen
dc.subject.lcshNumerical integrationen
dc.subject.lcshGeometric measure theoryen
dc.titleComparison of geometric integrator methods for Hamilton systemsen
dc.typemasterThesisen
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen
dc.relation.publicationcategoryTezen_US


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