On point-wise error estimate in solving inverse problems
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 1, pp. 90-95 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new approach to the point-wise error estimation for the projection ill posed problems is suggested in the article. We compare point-wise error estimate with the error estimate on a set.
Keywords: ill-posed problem, method of projective regularization, module of coninuity.
Mots-clés : error estimation
@article{VYURV_2013_2_1_a8,
     author = {V. P. Tanana and T. S. Kamaltdinova},
     title = {On point-wise error estimate in solving inverse problems},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
     pages = {90--95},
     year = {2013},
     volume = {2},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURV_2013_2_1_a8/}
}
TY  - JOUR
AU  - V. P. Tanana
AU  - T. S. Kamaltdinova
TI  - On point-wise error estimate in solving inverse problems
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika
PY  - 2013
SP  - 90
EP  - 95
VL  - 2
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VYURV_2013_2_1_a8/
LA  - ru
ID  - VYURV_2013_2_1_a8
ER  - 
%0 Journal Article
%A V. P. Tanana
%A T. S. Kamaltdinova
%T On point-wise error estimate in solving inverse problems
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika
%D 2013
%P 90-95
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/VYURV_2013_2_1_a8/
%G ru
%F VYURV_2013_2_1_a8
V. P. Tanana; T. S. Kamaltdinova. On point-wise error estimate in solving inverse problems. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 1, pp. 90-95. http://geodesic.mathdoc.fr/item/VYURV_2013_2_1_a8/

[1] V. K. Ivanov, V. V. Vasin, V. P. Tanana, Theory of Linear Ill-Posed Problems and its Applications, VSP, 2002

[2] В. П. Танана, А. Б. Бредихина, Т. С. Камалтдинова, “On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions”, Supplement to Proceedings of the Steklov Institute of Mathematics and Mechanics Ural Branch of RAS, 18:1 (2012), 281–288

[3] Е. В. Табаринцева, “On error estimate of the quasi-reversibility method to solve the Cauchy problem for a semielinear differential equation”, Siberian journal of numerical mathematics, 8:3 (2005), 259–271