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