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https://hdl.handle.net/11147/3513
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DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Tanoğlu, Gamze | en |
dc.contributor.author | Gündüz, Hakan | - |
dc.date.accessioned | 2014-07-22T13:51:43Z | - |
dc.date.available | 2014-07-22T13:51:43Z | - |
dc.date.issued | 2010 | en |
dc.identifier.uri | http://hdl.handle.net/11147/3513 | - |
dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2010 | en |
dc.description | Includes bibliographical references (leaves: 82-83) | en |
dc.description | Text in English; Abstract: Turkish and English | en |
dc.description | x, 94 leaves | en |
dc.description.abstract | The higher order, geometric structure preserving numerical integrators based on the modified vector fields are used to construct discretizations of separable Hamiltonian systems. This new approach is called as modifying integrators. Modified vector fields can be used to construct high-order structure-preserving numerical integrators for both ordinary and partial differential equations. In this thesis, the modifying vector field idea is applied to Lobatto IIIA-IIIB methods for linear and nonlinear ODE problems. In addition, modified symplectic Euler method is applied to separable Hamiltonian PDEs. Stability and consistency analysis are also studied for these new higher order numerical methods. Von Neumann stability analysis is studied for linear and nonlinear PDEs by using modified symplectic Euler method. The proposed new numerical schemes were applied to the separable Hamiltonian systems. | en |
dc.language.iso | en | en_US |
dc.publisher | Izmir Institute of Technology | en |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject.lcsh | Differential equations | en |
dc.subject.lcsh | Hamiltonian systems | en |
dc.subject.lcsh | Symplectic geometry | en |
dc.title | Higher order symplectic methods for separable Hamiltonian equations master of science | en_US |
dc.type | Master Thesis | en_US |
dc.institutionauthor | Gündüz, Hakan | - |
dc.department | Thesis (Master)--İzmir Institute of Technology, Mathematics | en_US |
dc.relation.publicationcategory | Tez | en_US |
item.openairetype | Master Thesis | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.fulltext | With Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
Appears in Collections: | Master Degree / Yüksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
T000826.pdf | MasterThesis | 1.36 MB | Adobe PDF | View/Open |
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