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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 6, Pages 1035–1044
DOI: https://doi.org/10.31857/S0044466920060137 (Mi zvmmf11093) 		 
This article is cited in 11 scientific papers (total in 11 papers)

An algorithm for recovering the characteristics of the initial state of supernova

S. I. Kabanikhinabcd, I. M. Kulikovc, M. A. Shishleninabcd

a Mathematical Center in Akademgorodok, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
c Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
d Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Citations (11)
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DOI: https://doi.org/10.31857/S0044466920060137
Abstract: An optimization method for the numerical solution of the inverse problem of recovering the initial state of a supernova is proposed. The gradient of the inverse problem objective functional is constructed. The solution of the direct and adjoint problems is based on a combination of the large particle method, Godunov's method, and piecewise parabolic method on a local stencil. Results of the verification of the proposed numerical method and the results of numerical solution of the Evrard and Sedov collapse problems are presented.
Key words: computational astrophysics, supernova, retrospective inverse problem, Godunov's scheme.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0315-2019-0009
075-15-2019-1675
Russian Foundation for Basic Research 19-01-00694
The work by I.M. Kulikov was carried out within the budget of the Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, project no. 0315-2019-0009. The work by S.I. Kabanikhin and M.A. Shishlenin was supported by the Russian Foundation for Basic Research, project no.В 19-01-00694 and 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.
Received: 25.11.2019
Revised: 25.11.2019
Accepted: 11.02.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 6, Pages 1008–1016
DOI: https://doi.org/10.1134/S0965542520060135
Bibliographic databases:
Document Type: Article
UDC: 519.633, 524.352-44
Language: Russian
Citation: S. I. Kabanikhin, I. M. Kulikov, M. A. Shishlenin, “An algorithm for recovering the characteristics of the initial state of supernova”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 1035–1044; Comput. Math. Math. Phys., 60:6 (2020), 1008–1016
Citation in format AMSBIB
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\pages 1035--1044
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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