Geodesic
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. 
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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/

[1] Kabanikhin S. I., Krivorotko O. I., “Issledovanie obratnoi zadachi termoakustiki metodom singulyarnogo razlozheniya”, Sibirskie elektronnye matematicheskie izvestiya (to appear)

[2] Kabanikhin S. I., Obratnye i nekorrektnye zadachi, Sibirskoe nauchnoe izd-vo, Novosibirsk, 2008

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