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Finding discontinuities in the coefficients of the linear nonstationary transport equations. / Balakina, E. Yu.

In: Computational Mathematics and Mathematical Physics, Vol. 57, No. 10, 01.10.2017, p. 1650-1665.

Research output: Contribution to journal › Article › peer-review

Harvard

Balakina, EY 2017, 'Finding discontinuities in the coefficients of the linear nonstationary transport equations', Computational Mathematics and Mathematical Physics, vol. 57, no. 10, pp. 1650-1665. https://doi.org/10.1134/S0965542517100049

APA

Balakina, E. Y. (2017). Finding discontinuities in the coefficients of the linear nonstationary transport equations. Computational Mathematics and Mathematical Physics, 57(10), 1650-1665. https://doi.org/10.1134/S0965542517100049

Vancouver

Balakina EY. Finding discontinuities in the coefficients of the linear nonstationary transport equations. Computational Mathematics and Mathematical Physics. 2017 Oct 1;57(10):1650-1665. doi: 10.1134/S0965542517100049

Author

Balakina, E. Yu. / Finding discontinuities in the coefficients of the linear nonstationary transport equations. In: Computational Mathematics and Mathematical Physics. 2017 ; Vol. 57, No. 10. pp. 1650-1665.

BibTeX

@article{334ecf7ee1064a75894478b12cd32a4e,
title = "Finding discontinuities in the coefficients of the linear nonstationary transport equations",
abstract = "An X-ray tomography problem that is an inverse problem for the transport differential equation is set up and investigated. The absorption and single scattering of particles are taken into account. The transport equation is nonstationary (its coefficients and the unknown function depend on time), involves multiple energy levels, and its coefficients can undergo jump discontinuities with respect to the spatial variable (in other words, the medium in which the process proceeds is inhomogeneous). The sought object is the set on which the coefficients of the equation suffer a discontinuity, which corresponds to the search for the boundaries between the different substances composing the sensed medium.",
keywords = "discontinuous coefficients, inverse problems, tomography, transport equation, unknown boundary",
author = "Balakina, {E. Yu}",
year = "2017",
month = oct,
day = "1",
doi = "10.1134/S0965542517100049",
language = "English",
volume = "57",
pages = "1650--1665",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "PLEIADES PUBLISHING INC",
number = "10",

}

RIS

TY - JOUR

T1 - Finding discontinuities in the coefficients of the linear nonstationary transport equations

AU - Balakina, E. Yu

PY - 2017/10/1

Y1 - 2017/10/1

N2 - An X-ray tomography problem that is an inverse problem for the transport differential equation is set up and investigated. The absorption and single scattering of particles are taken into account. The transport equation is nonstationary (its coefficients and the unknown function depend on time), involves multiple energy levels, and its coefficients can undergo jump discontinuities with respect to the spatial variable (in other words, the medium in which the process proceeds is inhomogeneous). The sought object is the set on which the coefficients of the equation suffer a discontinuity, which corresponds to the search for the boundaries between the different substances composing the sensed medium.

AB - An X-ray tomography problem that is an inverse problem for the transport differential equation is set up and investigated. The absorption and single scattering of particles are taken into account. The transport equation is nonstationary (its coefficients and the unknown function depend on time), involves multiple energy levels, and its coefficients can undergo jump discontinuities with respect to the spatial variable (in other words, the medium in which the process proceeds is inhomogeneous). The sought object is the set on which the coefficients of the equation suffer a discontinuity, which corresponds to the search for the boundaries between the different substances composing the sensed medium.

KW - discontinuous coefficients

KW - inverse problems

KW - tomography

KW - transport equation

KW - unknown boundary

UR - http://www.scopus.com/inward/record.url?scp=85032750665&partnerID=8YFLogxK

U2 - 10.1134/S0965542517100049

DO - 10.1134/S0965542517100049

M3 - Article

AN - SCOPUS:85032750665

VL - 57

SP - 1650

EP - 1665

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 10

ER -

ID: 9743424