Singular value decomposition in the source problem
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 205-211

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

Inverse source problem for the wave equation is considered. The additional information is measured on different parts of the boundary. The degree of ill-posedness of the inverse problem is investigated. Numerical algorithm which is based on the SVD of the discrete inverse problem is constructed and tested.
@article{SJVM_2012_15_2_a10,
     author = {S. I. Kabanikhin and O. I. Krivorotko},
     title = {Singular value decomposition in the source problem},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {205--211},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a10/}
}
TY  - JOUR
AU  - S. I. Kabanikhin
AU  - O. I. Krivorotko
TI  - Singular value decomposition in the source problem
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2012
SP  - 205
EP  - 211
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a10/
LA  - ru
ID  - SJVM_2012_15_2_a10
ER  - 
%0 Journal Article
%A S. I. Kabanikhin
%A O. I. Krivorotko
%T Singular value decomposition in the source problem
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2012
%P 205-211
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a10/
%G ru
%F SJVM_2012_15_2_a10
S. I. Kabanikhin; O. I. Krivorotko. Singular value decomposition in the source problem. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 205-211. http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a10/