Geodesic
On estimating the precision of an approximate solution to an inverse thermodiagnostics problem with free boundary
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 1, pp. 133-139.

Voir la notice de l'article provenant de la source Math-Net.Ru

We estimate the precision of an approximate solution to an inverse thermodiagnostics problem with free boundary.
Keywords: inverse thermodiagnostics problem, projection regularization method, parameter regularization. 
@article{SJIM_2010_13_1_a11,
     author = {V. P. Tanana and A. V. Bokov},
     title = {On estimating the precision of an approximate solution to an inverse thermodiagnostics problem with free boundary},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {133--139},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a11/}
}
TY  - JOUR
AU  - V. P. Tanana
AU  - A. V. Bokov
TI  - On estimating the precision of an approximate solution to an inverse thermodiagnostics problem with free boundary
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2010
SP  - 133
EP  - 139
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a11/
LA  - ru
ID  - SJIM_2010_13_1_a11
ER  - 
%0 Journal Article
%A V. P. Tanana
%A A. V. Bokov
%T On estimating the precision of an approximate solution to an inverse thermodiagnostics problem with free boundary
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2010
%P 133-139
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a11/
%G ru
%F SJIM_2010_13_1_a11
V. P. Tanana; A. V. Bokov. On estimating the precision of an approximate solution to an inverse thermodiagnostics problem with free boundary. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 1, pp. 133-139. http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a11/

[1] Tanana V. P., “Ob optimalnosti po poryadku metoda proektsionnoi regulyarizatsii pri reshenii obratnykh zadach”, Sib. zhurn. industr. matematiki, 7:2 (2004), 117–132 | MR | Zbl

[2] Martynenko N. A., Pustylnikov L. M., Konechnye integralnye preobrazovaniya i ikh primenenie k issledovaniyu sistem s raspredelennymi parametrami, Nauka, M., 1986 | MR

[3] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972

[4] Tanana V. P., Danilin A. R., “Ob optimalnosti regulyarizuyuschikh algoritmov pri reshenii nekorrektnykh zadach”, Differents. uravneniya, 12:7 (1976), 1323–1326 | MR | Zbl

[5] Lavrentev M. M., O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, Nauka, Novosibirsk, 1962 | MR