Operator splitting methods for non-autonomous differential equations
Korkut, Sıla Övgü.

Operator splitting methods for non-autonomous differential equations

Korkut, Sıla Övgü.

Yazar Ek Girişi
Korkut, Sıla Övgü.

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.

Konu Başlığı
Operator theory.
Semigroups of operators.
Decomposition method.
Differential equations -- Numerical solutions.
Numerical analysis.

Yazar Ek Girişi
Tanoğlu, Gamze.

Tüzel Kişi Ek Girişi
İzmir Institute of Technology. Mathematics.

Tek Biçim Eser Adı
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).

Elektronik Erişim
Access to Electronic Version.

LibraryMateryal TürüDemirbaş NumarasıYer Numarası
IYTE LibraryTezT000995QA329 .K845 2011