Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 119-127
Citer cet article
A. A. Samarskii; P. N. Vabishchevich; V. l. Vasiliev. Iterative solution of a retrospective inverse problem of heat conduction. Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 119-127. http://geodesic.mathdoc.fr/item/MM_1997_9_5_a11/
@article{MM_1997_9_5_a11,
author = {A. A. Samarskii and P. N. Vabishchevich and V. l. Vasiliev},
title = {Iterative solution of a~retrospective inverse problem of heat conduction},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {119--127},
year = {1997},
volume = {9},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1997_9_5_a11/}
}
TY - JOUR
AU - A. A. Samarskii
AU - P. N. Vabishchevich
AU - V. l. Vasiliev
TI - Iterative solution of a retrospective inverse problem of heat conduction
JO - Matematičeskoe modelirovanie
PY - 1997
SP - 119
EP - 127
VL - 9
IS - 5
UR - http://geodesic.mathdoc.fr/item/MM_1997_9_5_a11/
LA - ru
ID - MM_1997_9_5_a11
ER -
%0 Journal Article
%A A. A. Samarskii
%A P. N. Vabishchevich
%A V. l. Vasiliev
%T Iterative solution of a retrospective inverse problem of heat conduction
%J Matematičeskoe modelirovanie
%D 1997
%P 119-127
%V 9
%N 5
%U http://geodesic.mathdoc.fr/item/MM_1997_9_5_a11/
%G ru
%F MM_1997_9_5_a11
A problem with inverse time for a parabolic equation is considered. To solve it approximately, an iterative method for a more precise definition of the initial conditions is employed. Problems of selection of iterative parameters as well as operators of transition to a new iteration are considered. Examples of predictions of a model problem with random errors in the input data are provided.
