Uniformly Convergent Approximation On Special Meshes için kapak resmi
Uniformly Convergent Approximation On Special Meshes
Başlık:
Uniformly Convergent Approximation On Special Meshes
Yazar:
Bingöl, Özgür
Yazar Ek Girişi:
Yayın Bilgileri:
[s.l.]: [s.n.], 2007.
Fiziksel Tanımlama:
vii, 71 leaves.: ill. + 1 computer laser optical disc.
Özet:
We consider finite difference methods for the approximation of one-dimensional convection-diffusion problem with a small parameter multiplying the diffusion term. An analysis of the centered difference and upwind difference schemes on equidistant meshes shows that these methods are not uniformly convergent in the discrete maximum norm. However, we show that the upwind method over a set of suitably distributed mesh points produce uniformly convergent approximations in the discrete maximum norm. We further investigate the upwind difference method for the approximation of the convection-diffusion problem with a point source. Theoretical findings are supported with the numerical results.
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.
Ayırtma: Copies: