Operator splitting methods for  non-autonomous differential equations için kapak resmi
Operator splitting methods for non-autonomous differential equations
Korkut, Sıla Övgü.
Yazar Ek Girişi:
Yayın Bilgileri:
[s.l.]: [s.n.], 2011.
Fiziksel Tanımlama:
ix, 83 leaves.: ill. + 1 computer laser optical disc.
In 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.
Yazar Ek Girişi:
Tek Biçim Eser Adı:
Thesis (Master)--İzmir Institute of Technology: Mathematics.

İzmir Institute of Technology: Mathematics--Thesis (Master).
Elektronik Erişim:
Access to Electronic Version.


Materyal Türü
Demirbaş Numarası
Yer Numarası
Durumu/İade Tarihi
Tez T000995 QA329 .K845 2011

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