Method of the inverse problem solution using an additional a priori information
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 2 (2010), pp. 9-15
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There is additional a priori information about the exact solution useful for qualitative improvement of the approximate solution in many inverse problems of the mathematical physics. In this article the generalization of the discrepancy method suggested by V. K. Ivanov in the article [1]. The discrepancy method allows using additional a priori information.
Keywords:
Hilbert space, an operational equation, an improperly posed problem, a discrepancy method.
@article{VYURM_2010_2_a1,
author = {O. V. Grigorieva},
title = {Method of the inverse problem solution using an additional a priori information},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {9--15},
publisher = {mathdoc},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2010_2_a1/}
}
TY - JOUR AU - O. V. Grigorieva TI - Method of the inverse problem solution using an additional a priori information JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2010 SP - 9 EP - 15 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2010_2_a1/ LA - ru ID - VYURM_2010_2_a1 ER -
%0 Journal Article %A O. V. Grigorieva %T Method of the inverse problem solution using an additional a priori information %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2010 %P 9-15 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2010_2_a1/ %G ru %F VYURM_2010_2_a1
O. V. Grigorieva. Method of the inverse problem solution using an additional a priori information. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 2 (2010), pp. 9-15. http://geodesic.mathdoc.fr/item/VYURM_2010_2_a1/