Geodesic
Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem
Kragujevac Journal of Mathematics, Tome 30 (2007), p. 141

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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 ${\cal O} (n^{-2} \ln^2 n).$
Classification : 65L10 65L60 65L20 34B15 34E15 65L12
Keywords: quadratic spline, convection-diffusion problem 
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     author = {Katarina Surla and Zorica Uzelac and Ljiljana Teofanov},
     title = {Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem},
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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), p. 141 . http://geodesic.mathdoc.fr/item/KJM_2007_30_a9/