Başlık:

Comparison of geometric integrator methods for hamilton systems

Yazar:

İneci, Pınar.

Yazar Ek Girişi:

Yayın Bilgileri:

[s.l.]: [s.n.], 2009.

Fiziksel Tanımlama:

xii, 115leaves.: ill. + 1 computer laser optical disc.

Özet:

Geometric 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.

Yazar Ek Girişi:

Tüzel Kişi Ek Girişi:

Tek Biçim Eser Adı:

Thesis (Master)--İzmir Institute of Technology: Mathematics.

İzmir Institute of Technology: Mathematics--Thesis (Master).

Elektronik Erişim:

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### Rafta:*

Kütüphane | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
---|---|---|---|---|

Arıyor... | Tez | T000184 | QA614.83 .I429 2009 | Arıyor... |