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, “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, “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
I. V. Prokhorov, “The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions”, Math. Notes, 105:1 (2019), 80–90 (cited: 1) (cited: 1)
2.
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
2018
3.
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
4.
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
5.
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 (cited: 1) (cited: 1)
6.
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
7.
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 (cited: 13)
8.
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. (cited: 2)
9.
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 (cited: 1)
10.
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
11.
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
2016
12.
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. (cited: 6)
13.
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. (cited: 1) (cited: 1)
14.
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. (cited: 3) (cited: 3)
15.
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. (cited: 2) (cited: 6)
16.
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. (cited: 2) (cited: 4)
17.
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 (cited: 1) (cited: 3)
18.
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
19.
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
20.
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 (cited: 8)
21.
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 (cited: 14) (cited: 21)
22.
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 (cited: 9) (cited: 4) (cited: 4) (cited: 15)
23.
M. Guzev, V. Nazarov, I. Prokhorov, “Modelling of Material Composition in X-ray Diagnostics”, Applied Mechanics and Materials, 749 (2015), 116–120
24.
I. V. Prokhorov, A. A. Sushchenko, “Imaging Based on Signal from Side-Scan Sonar”, Applied Mechanics and Materials, 756 (2015), 678–682
25.
I. Prokhorov, A. Sushchenko, V. Kan , E. Kovalenko, “Simulation of Sonar Signal Propagation in a Fluctuating Ocean”, Physics Procedia, 70 (2015), 690–694 (cited: 6) (cited: 9)
26.
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
27.
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
28.
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 (cited: 2)
29.
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
30.
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 (cited: 2)
2013
31.
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
32.
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 (cited: 13) (cited: 4) (cited: 4) (cited: 23)
33.
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
2012
34.
I. V. Prokhorov, “Solvability of the initial-boundary value problem for an integrodifferential equation”, Siberian Math. J., 53:2 (2012), 301–309 (cited: 12) (cited: 4) (cited: 4) (cited: 20)
35.
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
36.
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
37.
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 (cited: 1) (cited: 1) (cited: 4)
38.
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 (cited: 19) (cited: 8) (cited: 22)
39.
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 (cited: 3) (cited: 3)
40.
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 (cited: 2)
41.
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
42.
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
43.
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 (cited: 1)
44.
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
45.
A.E. Kovtanyuk, V.G. Nazarov, I.V. Prokhorov, I.P. Yarovenko, Method to identify materials by radiographic re-irradiation, 2011
2010
46.
A. E. Kovtanyuk, I. V. Prokhorov, “Boundary-value problem for the polarized-radiation transfer equation in layered medium”, FEMJ, 10:1 (2010), 50–59
47.
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 (cited: 7) (cited: 5)
48.
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 (cited: 12) (cited: 5) (cited: 18)
2009
49.
I. V. Prokhorov, V. M. Moon, “Boundary Value Problem for the Transfer Equation of Amplitude Modulated Radiation”, FEMJ, 9:1-2 (2009), 150–160
50.
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 (cited: 8) (cited: 5) (cited: 5) (cited: 12)
51.
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
52.
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
53.
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
54.
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
55.
A. E. Kovtanyuk, I. V. Prokhorov, “Chislennoe reshenie obratnoi zadachi dlya uravneniya perenosa polyarizovannogo izlucheniya”, Sib. zhurn. vychisl. matem., 11:1 (2008), 55–68 (cited: 3) (cited: 1)
56.
I. V. Prokhorov, I. P. Yarovenko, V. G. Nazarov, “Optical tomography problems at layered media”, Inverse Problems, 24:2 (2008), 025019 , 13 pp. (cited: 12) (cited: 12)
2007
57.
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.
58.
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"
59.
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
60.
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 (cited: 1)
61.
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 (cited: 8) (cited: 10)
62.
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 (cited: 6)
63.
D. S. Anikonov, I. V. Prokhorov, “Choice of optimal radiation energy in X-ray flaw detection”, Doklady Mathematics, 73:3 (2006), 449–452
2005
64.
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
65.
D. S. Anikonov, I. V. Prokhorov, “Formal estimation of reconstruction quality in X-ray tomography”, Doklady Mathematics, 71:2 (2005), 289–292
66.
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 (cited: 16) (cited: 14)
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 (cited: 14) (cited: 24)
69.
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
70.
I. V. Prokhorov, “Reconstruction of the interface between media on the ground of tomography data”, Comput. Math. Math. Phys., 42:10 (2002), 1482–1494
71.
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 (cited: 8)
72.
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.
73.
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
74.
D. S. Anikonov, I. V. Prokhorov, “Some mathematical models of tomography for singular states of media”, Doklady Mathematics, 61:2 (2000), 293–297
75.
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 (cited: 8) (cited: 5) (cited: 15)
76.
D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov, Ispolzovanie uravneniya perenosa v tomografii, Logos, Moskva, 2000 , 224 pp.
1999
77.
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 (cited: 1) (cited: 1) (cited: 1)
78.
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
1997
79.
D. S. Anikonov, V. G. Nazarov, I. V. Prokhorov, “Visible and invisible media in tomography”, Doklady Mathematics, 56:3 (1997), 955–958 (cited: 3) (cited: 16) (cited: 16)
1996
80.
I. V. Prokhorov, “Some properties of the solutions of the transport equation”, Dal’nevost. Mat. Sb., 2 (1996), 161–172
1995
81.
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
82.
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
83.
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 (cited: 12)
84.
I. V. Prokhorov, Nekotorye dostatochnye usloviya razryva resheniya uravneniya perenosa, Preprint, IPM DVO RAN, Vladivostok, 1993 , 6 pp.
1992
85.
D. S. Anikonov, I. V. Prokhorov, “Determination of a coefficient of the transport-equation for energetic and angle singular input radiation”, Doklady Akademii Nauk, 327:2 (1992), 205–207 (cited: 5)
86.
R. G. Barantsev, E. V. Maiorov, I. V. Prokhorov, “Asimptoticheskoe issledovanie teploobmena k goryachei stenke v vysokoskorostnom potoke”, Teplomassoobmen, Trudy 2-go Minskogo mezhdunarodnogo foruma po teplo- i massoobmenu (MMF-92), T. 1, Chast 1, ANK ITMO im. A.V.Lykova, Minsk, 1992, S. 86–89
1991
87.
A. V. Marchenko, I. V. Prokhorov, “Linear waves in a fluid-flow with constant vorticity located under an ice blanket”, Journal of Applied Mathematics and Mechanics, 55:2 (1991), 193–200
1987
88.
T. V. Pak, I. V. Prokhorov, “Ob odnom metode vychisleniya funktsii Mate”, Elektromagnitnye i akusticheskie protsessy v okeane, DVGU, Vladivostok, 1987, S. 142–149
2019
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