Abstract
A brief definition of inverse and ill-posed problems is given, the history of studying such problems is presented, and the relations of inverse problems to computer simulation is discussed.
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REFERENCES
A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems (Nauka, Moscow, 1986; Winston, Washington, 1977).
M. M. Lavrent’ev, V. G. Romanov, and S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Calculus (Nauka, Sibirskoe Otdelenie, Novosibirsk, 1980) [in Russian].
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S. I. Kabanikhin, Inverse and Ill-Posed Problems: Theory and Applications (Sibirskoe Nauchnoe Izd., Novosibirsk, 2008; De Gruyter, Berlin, 2012).
Funding
This work was supported by the Mathematical Center in Akademgorodok (Russia), agreement with the Ministry of Science and Higher Education of the Russian Federation, project no. 075-15-2019-1675.
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Translated by A. Klimontovich
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Kabanikhin, S.I. Inverse Problems of Natural Science. Comput. Math. and Math. Phys. 60, 911–914 (2020). https://doi.org/10.1134/S0965542520060044
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DOI: https://doi.org/10.1134/S0965542520060044