S. I. Kabanikhin, O. I. Krivorotko, “Singular value decomposition in the source problem”, Sib. Zh. Vychisl. Mat., 2012, Volume 15, Number 2,Pages <nobr>205

This article is cited in 1 paper

Singular value decomposition in the source problem

S. I. Kabanikhin^ab, O. I. Krivorotko^b

^a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University, Novosibirsk

Abstract: 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.

Key words: inverse source problem, singular value decomposition, degree of ill-posedness.

UDC: 519.6

Received: 06.10.2011