05.13.18 (Mathematical modelling, calculating methods, and the program systems)
Birth date:
20.01.1966
E-mail:
Keywords:
radiation transfer equation,
inverse problems,
tomography.
Subject:
Radiation transport theory, tomography.
Main publications:
D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov, Transport Equation and Tomography, Inverse and Ill-Posed Problems Series, 30, VSP, Boston-Utrecht, 2002 , viii+208 pp.
I. V. Prokhorov, “On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces”, Izv. Math., 67:6 (2003), 1243–1266
I. V. Prokhorov, I. P. Yarovenko, V. G. Nazarov, “Optical tomography problems at layered media”, Inverse Problems, 24:2 (2008), 025019 , 13 pp.
I. V. Prokhorov, “On the Structure of the Continuity Set of the Solution to a Boundary-Value Problem for the Radiation Transfer Equation”, Math. Notes, 86:2 (2009), 234–248
I. V. Prokhorov, I. P. Yarovenko, “Analysis of the tomographic contrast during the immersion bleaching of layered biological tissues”, Quantum Electronics, 40:1 (2010), 77–82
I. V. Prokhorov, “Solvability of the initial-boundary value problem for an integrodifferential equation”, Siberian Math. J., 53:2 (2012), 301–309
I.V. Prokhorov, “The cauchy problem for the radiative transfer equation with generalized conjugation conditions”, Computational Mathematics and Mathematical Physics, 53:5 (2013), 588–600
I. V. Prokhorov, A. A. Sushchenko, “Studying the problem of acoustic sounding of the seabed using methods of radiative transfer theory”, Acoustical Physics, 61:3 (2015), 368–375
I. V. Prokhorov, “The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions”, Math. Notes, 105:1 (2019), 80–90
I. V. Prokhorov, I. P. Yarovenko, “Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration”, Doklady Mathematics, 106:1 (2022), 272–278
Ivan P. Yarovenko, Igor V. Prokhorov, “An extrapolation method for improving the quality of tomographic images using multiple short-pulse irradiations”, Journal of Inverse and Ill-posed Problems, 32:1 (2024), 57–74
2.
P. A. Vornovskikh, I. V. Prokhorov, I. P. Yarovenko, “Algorithms for numerical modeling of high-frequency acoustic sounding processes in the ocean”, Num. Meth. Prog., 25:1 (2024), 19–32
3.
E. O. Kovalenko, I. V. Prokhorov, A. A. Sushchenko, “Extrapolation algorithms for improving the quality of sonar images”, Journal of Computational Technologies, 29:3 (2024), 38–51
2023
4.
V.G. Nazarov, I.V. Prokhorov, I.P. Yarovenko, “Identification of an Unknown Substance by the Methods of Multi-Energy Pulse X-ray Tomography”, Mathematics, 11:15 (2023), 3263 , 13 pp.
5.
E. O. Kovalenko, I. V. Prokhorov, “Ob odnom ekstrapolyatsionnom algoritme uluchsheniya kachestva gidrolokatsionnykh izobrazhenii morskogo dna”, Dalnevost. matem. zhurn., 23:2 (2023), 211–221
6.
P. A. Vornovskikh, I. V. Prokhorov, “Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1079–1092
2022
7.
E. O. Kovalenko, I. V. Prokhorov, “Localization of the Discontinuity Lines of the Bottom Scattering Coefficient According to Acoustic Sounding Data”, Journal of Applied and Industrial Mathematics, 16:1 (2022), 70–79
8.
I. V. Prokhorov, I. P. Yarovenko, “Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration”, Doklady Mathematics, 106:1 (2022), 272–278
9.
P. A. Vornovskikh, E. V. Ermolaev, I. V. Prokhorov, “On the problem of determining the scattering coefficient in frequency modulated sounding of a medium”, Dalnevost. matem. zhurn., 22:2 (2022), 263–268;
2021
10.
I. V. Prokhorov, I. P. Yarovenko, “Determination of the Attenuation Coefficient for the Nonstationary Radiative Transfer Equation”, Computational Mathematics and Mathematical Physics, 61:12 (2021), 2088–2101
11.
P. A. Vornovskikh, I. V. Prokhorov, “Comparative analysis of the error of the single scattering approximation when solving one inverse problem in two-dimensional and three-dimensional cases”, Dal'nevost. Mat. Zh., 21:2 (2021), 151–165
12.
P. A. Vornovskikh, I. V. Prokhorov, “Applicability of the single-scattering approximation for the ocean acoustic sounding”, Journal of Physics: Conference Series, 1715 (2021), 012051 , 8 pp.
13.
I. V. Prokhorov, I. P. Yarovenko, “Computed tomography imaging using a short pulse source with angular discontinuity”, Journal of Physics: Conference Series, 1715 (2021), 012043 , 6 pp.
14.
E. O. Kovalenko, I. V. Prokhorov, “Determination of the bottom scattering coefficient discontinuity lines in the multibeam ocean sounding”, Journal of Physics: Conference Series, 2099:1 (2021), 012042 , 8 pp.
I. P. Yarovenko, I. V. Prokhorov, “An extrapolation method for projection data fltration in pulsed X-ray tomography”, Journal of Physics: Conference Series, 2099:1 (2021), 012050 , 6 pp.
2020
16.
V. A. Kan, I. V. Prokhorov, “Reconstruction of the Lambert curve in a scattering medium by using pulsed sounding”, J. Appl. Industr. Math., 14:2 (2020), 320–328
17.
Ivan G. Kazantsev, Samuel Matej, Robert M. Lewitt, Ulrik L. Olsen, Henning F. Poulsen, Ivan P. Yarovenko and Igor V. Prokhorov, “Modeling and simulation of Compton scatter image formation in positron emission tomography”, Journal of Inverse and Ill-posed Problems, 28:6 (2020), 923–932
18.
P. A. Vornovskikh, A. Kim, I. V. Prokhorov, “The applicability of the approximation of single scattering in pulsed sensing of an inhomogeneous medium”, Computer Research and Modeling, 12:5 (2020), 1063–1079
19.
I. V. Prokhorov, I. P. Yarovenko, “The Cauchy problem for the non-stationary radiative transfer equation with Compton scattering”, Sib. Èlektron. Mat. Izv., 17 (2020), 1943–1952
2019
20.
I. V. Prokhorov, “The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions”, Math. Notes, 105:1 (2019), 80–90
21.
A. Kim, I. V. Prokhorov, “Initial-boundary value problem for a radiative transfer equation with generalized matching conditions”, Sib. elektron. matem. izv., 16 (2019), 1036–1056
E. O. Kovalenko, I. V. Prokhorov, “Opredelenie koeffitsienta donnogo rasseyaniya pri mnogoluchevom zondirovanii okeana”, Dalnevost. matem. zhurn., 19:2 (2019), 206–222
E. O. Kovalenko, I. V. Prokhorov, A. A. Sushchenko, V. A. Kan, “Problem of multibeam remote sensing of sea bottom”, Proceedings of SPIE - The International Society for Optical Engineering, 11208 (2019), 112085P , 7 pp.
O. N. Trofimova, A. E. Kovtanyuk and I. V. Prokhorov, “Mathematical modeling of pulsed laser therapy”, 2019 Days on Diffraction (DD) (St. Petersburg, 3-7 June 2019), IEEE, 2019, Art. number 9016546, 210–215
2018
25.
I. P. Yarovenko, I. V. Prokhorov, “Determination of Refractive Indices of a Layered Medium under Pulsed Irradiation”, Optics and Spectroscopy, 124:4 (2018), 567–574
26.
I. V. Prokhorov, A. A. Sushchenko, “The Cauchy problem for the radiatve transfer equation in an unbounded medium”, Dal'nevost. Mat. Zh., 18:1 (2018), 101–111
27.
A. Kim, I. V. Prokhorov, “Theoretical and Numerical Analysis of an Initial-Boundary Value Problem for the Radiative Transfer Equation with Fresnel Matching Conditions”, Computational Mathematics and Mathematical Physics, 58:5 (2018), 735–749
28.
V. A. Kan, I. V. Prokhorov, “Determination of a diffuse reflecting surface under pulsed irradiation”, Dal'nevost. Mat. Zh., 18:2 (2018), 206–215
2017
29.
I. V. Prokhorov, A. A. Sushchenko, A. Kim, “Initial boundary value problem for the radiative transfer equation with diffusion matching conditions”, Journal of Applied and Industrial Mathematics, 11:1 (2017), 115–124
30.
E. R. Lyu, V. A. Kan, I. V. Prokhorov, A. A. Sushchenko, “Determination of the bottom surface profile”, Proceedings of SPIE - The International Society for Optical Engineering, 10466 (2017), 1046622 , 6 pp.
V. A. Kan, I. V. Prokhorov, A. A. Sushchenko, “Seabottom topography using model based on the radiative transfer equation”, Proceedings of the International Conference “Days on Diffraction 2017 (St. Petersburg, Russia), IEEE Conferences, 2017, 163–167
32.
A. Kim, I.V. Prokhorov, “The branching Monte Carlo methods for the Cauchy problem of the radiative transfer equation with Fresnel matching conditions”, Proceedings of the International Conference “Days on Diffraction 2017 (St. Petersburg, Russia), IEEE Conferences, 2017, 168–173
33.
Olga N. Trofimova, Kseniya A. Kuruntyaeva, Andrey E. Kovtanyuk, Igor V. Prokhorov, “Numerical method for solving the nonstationary radiation transfer equation in a layered medium”, Proceedings of the International Conference “Days on Diffraction 2017” (St. Petersburg, Russia), IEEE Conferences, 2017, 319–324
I. Prokhorov, A. Sushchenko, “Analysis of the impact of volume scattering and radiation pattern on the side-scan sonar images”, Proc. Mtgs. Acoust., 24 (2016), 005007 , 7 pp.
I. P. Yarovenko, I. V. Prokhorov, A. E. Kovtanyuk, “Effects of polarization of optical radiation in the problem for finding refractive indices of layered medium”, Proceedings of SPIE - The International Society for Optical Engineering, 10035 (2016), 100350Y , 4 pp.
A. Kim, I. V. Prokhorov, “Monte Carlo method for non-stationary radiative transfer equation in inhomogeneous media”, Proceedings of SPIE - The International Society for Optical Engineering, 10035 (2016), 100350Z , 4 pp.
V. A. Kan, I. V. Prokhorov, A. A. Sushchenko, “Determining the bottom surface according to data of side-scan sonars”, Proceedings of SPIE - The International Society for Optical Engineering, 10035 (2016), 1003518 , 5 pp.
38.
Evgeny O. Kovalenko, Andrey A. Sushchenko, Igor V. Prokhorov, “Processing of the information from side-scan sonar”, Proceedings of SPIE - The International Society for Optical Engineering, 10035 (2016), 100352C , 5 pp.
Alexander Yu. Chebotarev, Gleb V. Grenkin; Andrey E. Kovtanyuk, Igor V. Prokhorov, “Analysis of a diffraction problem for equations of complex heat transfer”, Proceedings of the International Conference “Days on Diffraction 2016”, St. Petersburg, Russia, IEEE Conference Publications, 2016, Article number 7756822. P. 101 - 105
Andrey E. Kovtanyuk, Igor V. Prokhorov, Alexander Yu. Chebotarev, “A method of diagnostics of layered biological tissues”, Proceedings of the International Conference “Days on Diffraction 2016”, IEEE Conference Publications, 2016, Article number 7756849. P. 237 - 242
41.
I. V. Prokhorov, A. A. Suschenko, V. A. Kan, “Zadacha nakhozhdeniya relefa dna fluktuiruyuschego okeana”, Tekhnicheskie problemy osvoeniya mirovogo okeana, T. 6, IPMT DVO RAN, Vladivostok, 2016, S. 421–425
2015
42.
I. V. Prokhorov, A. A. Sushchenko, A. V. Kan, “On the problem of reconstructing the floor topography of a fluctuating ocean”, Journal of Applied and Industrial Mathematics, 9:3 (2015), 412–422
43.
I. V. Prokhorov, A. A. Sushchenko, “On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions”, Siberian Math. J., 56:4 (2015), 736–745
44.
I. V. Prokhorov, A. A. Sushchenko, “Studying the problem of acoustic sounding of the seabed using methods of radiative transfer theory”, Acoustical Physics, 61:3 (2015), 368–375
45.
M. Guzev, V. Nazarov, I. Prokhorov, “Modelling of Material Composition in X-ray Diagnostics”, Applied Mechanics and Materials, 749 (2015), 116–120
46.
I. V. Prokhorov, A. A. Sushchenko, “Imaging Based on Signal from Side-Scan Sonar”, Applied Mechanics and Materials, 756 (2015), 678–682
I. Prokhorov, A. Sushchenko, V. Kan , E. Kovalenko, “Simulation of Sonar Signal Propagation in a Fluctuating Ocean”, Physics Procedia, 70 (2015), 690–694
48.
I. V. Prokhorov, A. A. Suschenko, V. A. Kan, “Ob odnoi zadache opredeleniya donnoi poverkhnosti po dannym gidrolokatora bokovogo obzora”, Aktualnye problemy vychislitelnoi i prikladnoi matematiki, Trudy Mezhdunarodnoi konferentsii, posvyaschennoi 90-letiyu so dnya rozhdeniya akademika G. I. Marchuka, Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, Novosibirsk, 2015, S. 597–602
49.
I. V. Prokhorov, A. A. Suschenko, “Ob odnoznachnoi razreshimosti zadachi Koshi dlya integro-differentsialnogo uravneniya perenosa s frenelevskimi usloviyami sopryazheniya”, Toricheskaya topologiya, teoriya chisel i ikh prilozheniya, Materialy mezhdunarodnoi konferentsii (Khabarovsk, 6-12 sentyabrya 2015 g.), eds. V. M. Bukhshtaber, V. A. Bykovskii, Tikhookeanskii gosudarstvennyi universitet, Khabarovsk, 2015, S. 102–103
2014
50.
D. S. Anikonov, V. G. Nazarov, I. V. Prokhorov, “An integrodifferential indicator for the problem of single beam tomography”, Journal of Applied and Industrial Mathematics, 8:3 (2014), 301–306
51.
A. S. Zhuplev, I. V. Prokhorov, I. P. Yarovenko, “Statistical modeling of the electron transport in visualization problems of inhomogeneous media”, FEMJ, 14:2 (2014), 217–230
52.
A. Sushchenko, I. Prokhorov, “Construction of sonar images based on the received signal side-scan sonar”, 2014 International Conference on Computer Technologies in Physical and Engineering Applications, ICCTPEA 2014 – Proceedings (Conference Paper), no. Article number 6893349, 2014, P. 183–184
I. V. Prokhorov, A. S. Zhuplev, “On the efficiency of the maximum cross section method in radiation transport theory”, Computer Research and Modeling, 2013, 5:4 (2013), 573-582
54.
I.V. Prokhorov, “The cauchy problem for the radiative transfer equation with generalized conjugation conditions”, Computational Mathematics and Mathematical Physics, 53:5 (2013), 588–600
55.
I. V. Prokhorov, A. A. Suschenko, I. B. Agafonov, V. V. Zolotarev, “Analiz vliyaniya rasseivayuschikh svoistv morskoi sredy na kachestvo gidrolokatsionnykh izobrazhenii”, Tekhnicheskie problemy osvoeniya mirovogo okeana, T. 5, IPMT DVO RAN, Vladivostok, 2013, S. 505–509
56.
A. E. Kovtanyuk, I. V. Prokhorov, “Polarized optical imaging problem of biological tissues”, International Journal of Biomathematics and Biostatistics, 2:1 (2013), 49–57
2012
57.
I. V. Prokhorov, “Solvability of the initial-boundary value problem for an integrodifferential equation”, Siberian Math. J., 53:2 (2012), 301–309
58.
A. E. Kovtanyuk, I. V. Prokhorov, “Some Inverse Problem for the Polarized-Radiation Transfer Equation”, Modeling, Simulation and Optimization of Complex Processes, Springer Berlin Heidelberg, 2012, pp. 207–217
2011
59.
I. V. Prokhorov, V. V. Zolotarev, I. B. Agafonov, “The problem of acoustic sounding in a fluctuating ocean. (Russian)”, Dalʹnevost. Mat. Zh., 11:1 (2011), 76–87
60.
D. S. Anikonov, V. G. Nazarov, I. V. Prokhorov, “The problem of single-beam probing of an unknown medium”, J. Appl. Industr. Math., 5:4 (2011), 500–505
61.
A. E. Kovtanyuk, I. V. Prokhorov, “A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium”, Journal of Computational and Applied Mathematics, 235:8 (2011), 2006–2014
D. S. Anikonov, V. G. Nazarov, I. V. Prokhorov, “Algorithm of finding a body projection within an absorbing and scattering medium”, Journal of Inverse and Ill-posed Problems, 18:8 (2011), 885–893
I. G. Kazantsev, I. P. Yarovenko, I. V. Prokhorov, “Modelirovanie protsessa izmereniya komptonovskogo rasseyaniya v pozitronnoi emissionnoi tomografii”, Vychislitelnye tekhnologii, 16:6 (2011), 27–37
64.
I. V. Prokhorov, I .P. Yarovenko, “Boundary and extremal problems for the transport equation of optical radiation”, Siberian electronic mathematical reports-sibirskie elektronnye matematicheskie izvestiya, 8 (2011), C145-C159
65.
Kovtanyuk A. E., Prokhorov I. V., Sushchenko A. A., Agafonov I. B., Zolotarev V. V., “On problems of constructing and improving the quality of acoustic images of the seabed”, Siberian electronic mathematical reports-sibirskie elektronnye matematicheskie izvestiya, 2011, no. 8, C124-C134
66.
I. G. Kazantsev, I. P. Yarovenko, I. V. Prokhorov, “Analiticheskoe i statisticheskoe modelirovanie formirovaniya izobrazhenii rasseyannogo izlucheniya v emissionnoi tomografii”, Interekspo Geo-Sibir, 4 (2011), S. 94–99
67.
I. V. Prokhorov, I. B. Agafonov, V. V. Zolotarev, “O zadache postroeniya gidrolokatsionnykh izobrazhenii morskogo dna”, Tekhnicheskie problemy osvoeniya mirovogo okeana, T. 4, IPMT DVO RAN, Vladivostok, 2011, 289–293
68.
A.E. Kovtanyuk, V.G. Nazarov, I.V. Prokhorov, I.P. Yarovenko, Method to identify materials by radiographic re-irradiation, 2011
2010
69.
A. E. Kovtanyuk, I. V. Prokhorov, “Boundary-value problem for the polarized-radiation transfer equation in layered medium”, FEMJ, 10:1 (2010), 50–59
70.
I. V. Prokhorov, I. P. Yarovenko, “Analysis of the tomographic contrast during the immersion bleaching of layered biological tissues”, Quantum Electronics, 40:1 (2010), 77–82
71.
A. Kovtanyuk, K. Nefedev, I. Prokhorov, “Advanced Computing Method for Solving of the Polarized-Radiation Transfer Equation”, Lecture Notes in Computer Science, 6083 (2010), 268–276
I. V. Prokhorov, V. M. Moon, “Boundary Value Problem for the Transfer Equation of Amplitude Modulated Radiation”, FEMJ, 9:1-2 (2009), 150–160
73.
I. V. Prokhorov, “On the Structure of the Continuity Set of the Solution to a Boundary-Value Problem for the Radiation Transfer Equation”, Math. Notes, 86:2 (2009), 234–248
74.
I. V. Prokhorov, N. S. Surovenko, I. B. Agafonov, V. V. Zolotarev, “Matematicheskoe modelirovanie protsessov rasprostraneniya akusticheskikh i elektromagnitnykh polei v sluchaino-neodnorodnykh sredakh”, Tekhnicheskie problemy osvoeniya mirovogo okeana, T. 3, IPMT DVO RAN, Vladivostok, 2009, 244–248
2008
75.
D. S. Anikonov, A. E. Kovtanyuk, D. S. Konovalova, V. G. Nazarov, I. V. Prokhorov, I. P. Yarovenko, “Radiation Tomography and transport equation”, FEMJ, 8:1 (2008), 5–18
76.
A. E. Kovtanyuk, V. M. Moon, V. G. Nazarov, I. V. Prokhorov, I. P. Yarovenko, “X-ray and optical tomography problems”, Sib. Èlektron. Mat. Izv., 5 (2008), 483–498
77.
D. S. Konovalova, I. V. Prokhorov, “Numerical implementation of a stepwise reconstruction algorithm for a problem of x-ray tomography”, Sib. Zh. Ind. Mat., 11:4 (2008), 61–65
78.
A. E. Kovtanyuk, I. V. Prokhorov, “Chislennoe reshenie obratnoi zadachi dlya uravneniya perenosa polyarizovannogo izlucheniya”, Sib. zhurn. vychisl. matem., 11:1 (2008), 55–68
I. V. Prokhorov, Matematicheskie zadachi teorii perenosa izlucheniya, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk po spetsialnosti 05.13.18 - Matematicheskoe modelirovanie, chislennye metody i kompleksy programm., Institut prikladnoi matematiki DVO RAN, Vladivostok, 2007 , 256 pp.
81.
I. V. Prokhorov, “Ob odnoi zadache opticheskoi tomografii”, Obratnye i nekorrektnye zadachi matematicheskoi fiziki, Mezhdunarodnaya konferentsiya, posvyaschennaya 75-letiyu akademika M. M. Lavrenteva (Novosibirsk, 20-25 avgusta 2007), Novosibirsk, Rossiya, 2007, 5s. "http://www.math.nsc.ru/conference/ipmp07/abstracts/Section2/ProkhorovIV.pdf"
82.
I. V. Prokhorov, Matematicheskie zadachi teorii perenosa izlucheniya, Avtoreferat dissertatsii na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, Institut prikladnoi matematiki Dalnevostochnogo otdeleniya Rossiiskoi akademii nauk, Vladivostok, 2007 , 30 pp.
2006
83.
D. S. Anikonov, I. V. Prokhorov, “The statement and numerical solution of an optimization problem in X-ray tomography”, Comput. Math. Math. Phys., 46:1 (2006), 16–22
84.
I. V. Prokhorov, I. P. Yarovenko, “Optical tomography problems: investigation by the methods of the radiation transport theory”, Optics and Spectroscopy, 101 (2006), 769–776
85.
A. E. Kovtanyuk, I. V. Prokhorov, “Tomography problem for the polarized-radiation transfer equation”, Journal of Inverse and Ill-Posed Problems, 14:6 (2006), 609–620
D. S. Anikonov, I. V. Prokhorov, “Choice of optimal radiation energy in X-ray flaw detection”, Doklady Mathematics, 73:3 (2006), 449–452
2005
87.
I. V. Prokhorov, I. P. Yarovenko, “A numerical solution of diffraction problems for the radiation transport equation”, Sib. Èlektron. Mat. Izv., 2 (2005), 88–101
88.
D. S. Anikonov, I. V. Prokhorov, “Formal estimation of reconstruction quality in X-ray tomography”, Doklady Mathematics, 71:2 (2005), 289–292
89.
I. V. Prokhorov, I. P. Yarovenko, T. V. Krasnikova, “An extremum problem for the radiation transfer equation”, Journal of Inverse and Ill-Posed Problems, 13:4 (2005), 365–382
I. V. Prokhorov, “On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces”, Izv. Math., 67:6 (2003), 1243–1266
92.
I. V. Prokhorov, I. P. Yarovenko, “A boundary value problem of transport theory in a multilayer medium with generalized conjugation conditions”, Sib. Zh. Ind. Mat., 6:1 (2003), 93–107
2002
93.
I. V. Prokhorov, “Reconstruction of the interface between media on the ground of tomography data”, Comput. Math. Math. Phys., 42:10 (2002), 1482–1494
94.
D. S. Anikonov, I. V. Prokhorov, “Necessary and sufficient conditions for the uniqueness of a solution to a tomography problem”, Comput. Math. Math. Phys., 42:3 (2002), 353–362
95.
D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov, Transport Equation and Tomography, Inverse and Ill-Posed Problems Series, 30, VSP, Boston-Utrecht, 2002 , viii+208 pp.
96.
D.S. Anikonov, V.G. Nazarov, I.V. Prokhorov, Poorly visible media in X-ray tomography, Inverse and Ill-Posed Problems Series, 38, VSP, Boston-Utrecht, 2002 , viii+296 pp.
2000
97.
D. S. Anikonov, I. V. Prokhorov, “Some mathematical models of tomography for singular states of media”, Doklady Mathematics, 61:2 (2000), 293–297
98.
I. V. Prokhorov, “Boundary value problem of radiation transfer in an inhomogeneous medium with reflection conditions on the boundary”, Differential Equations, 36:6 (2000), 943–948
99.
D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov, Ispolzovanie uravneniya perenosa v tomografii, Logos, Moskva, 2000 , 224 pp.
1999
100.
D. S. Anikonov, I. V. Prokhorov, “Importance of radiation absorption coefficient in diagnostics of scattering and absorbing media”, Doklady Mathematics, 60:2 (1999), 264–266
101.
D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov, “Tomography Through the Transport Equation”, Computational radiology and imaging. Therapy and diagnostics, The IMA Volumes in Mathematics and its Applications, 110, Springer, New York, 1999, P. 33–44
D. S. Anikonov, V. G. Nazarov, I. V. Prokhorov, “Visible and invisible media in tomography”, Doklady Mathematics, 56:3 (1997), 955–958
1996
103.
I. V. Prokhorov, “Some properties of the solutions of the transport equation”, Dal’nevost. Mat. Sb., 2 (1996), 161–172
1995
104.
D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov, “Some numerical experiments in tomography of scattering medium”, Computerized tomography, VSP, Zeist, Netherlands, 1995, P. 25–30
105.
I. V. Prokhorov, Opredelenie koeffitsienta oslableniya uravneniya perenosa pri razryvnom tipe istochnika, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk po spetsialnosti: 01.01.02 - differentsialnye uravneniya, Institut prikladnoi matematiki DVO RAN, Vladivostok, 1995
1993
106.
D. S. Anikonov, I. V. Prokhorov, A. E. Kovtanyuk, “Investigation of scattering and absorbing media by the methods of X-ray tomography”, Journal of Inverse and Ill-Posed Problems, 1:4 (1993), 259–282
I. V. Prokhorov, Nekotorye dostatochnye usloviya razryva resheniya uravneniya perenosa, Preprint, IPM DVO RAN, Vladivostok, 1993 , 6 pp.
1992
108.
D. S. Anikonov, I. V. Prokhorov, “Determination of a coefficient of the transport-equation for energetic and angle singular input radiation”, Doklady Mathematics, 37:11 (1992), 540-541
109.
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