Geodesic
Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem
Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1

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Zbl
In this paper the quadratic spline difference scheme for a convection-diffusion problem is derived. With the suitable choice of collocation points we provide the discrete minimum principle. The numerical results implies the uniform convergence of order ${\cal O} (n^{-2} \ln^2 n).$ 
Katarina Surla; Zorica Uzelac; Ljiljana Teofanov. Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem. Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1. http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a9/
@article{KJM_2007_30_1_a9,
     author = {Katarina Surla and Zorica Uzelac and Ljiljana Teofanov},
     title = {Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem},
     journal = {Kragujevac Journal of Mathematics},
     pages = {141 - 149},
     year = {2007},
     volume = {30},
     number = {1},
     zbl = {1199.65253},
     url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a9/}
}
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%D 2007
%P 141 - 149
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a9/
%F KJM_2007_30_1_a9