Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem
Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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 ${\cal O} (n^{-2} \ln^2 n).$
@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},
publisher = {mathdoc},
volume = {30},
number = {1},
year = {2007},
zbl = {1199.65253},
url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a9/}
}
TY - JOUR AU - Katarina Surla AU - Zorica Uzelac AU - Ljiljana Teofanov TI - Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem JO - Kragujevac Journal of Mathematics PY - 2007 SP - 141 EP - 149 VL - 30 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a9/ ID - KJM_2007_30_1_a9 ER -
%0 Journal Article %A Katarina Surla %A Zorica Uzelac %A Ljiljana Teofanov %T Minimum principle for quadratic spline collocation discretization of a convection-diffusion problem %J Kragujevac Journal of Mathematics %D 2007 %P 141 - 149 %V 30 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a9/ %F KJM_2007_30_1_a9
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/