Theory and numerical methods of solving inverse and ill-posed problems of Natural sciences.
Main publications:
S.I. Kabanikhin, A.D. Satybaev, M.A. Shishlenin, Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems, VSP, Utrecht, Boston, 2004, 180 pp.
Y.V. Bugai, A.A. Cherevko, M.A. Shishlenin, “Classification of cerebrovascular pathologies in real-time using nonlinear ODE-based surrogate model”, Journal of Inverse and Ill-posed Problems, 34:1 (2026), 71-85
2.
A.V. Korotkov, A.S. Kozelkov, V.V. Kurulin, M.A. Shishlenin, “Applying a synthetic turbulence generator to an unmatched RANS-LES interface”, Journal of Computational and Applied Mathematics, 475 (2026), 116996
I. Topal, A. Cherevko, Y. Bugai, M. Shishlenin, J. Barbier, D. Eroglu, É. Roldán, R. Belousov, “Data-Driven Modeling and Classification of Brain Blood-Flow Pathologies”, AI, 7:3 (2026), 105
4.
A. Rozhkov, A. Kozelkov, V. Kurulin, M. Shishlenin, “Reinforcement-Learning-Based Optimization of Convective Fluxes for High-CFL Finite-Volume Schemes”, Computation, 14:4 (2026), 75
5.
M. Shishlenin, Dinh Nho Hào, Cong B. Van, “Stable numerical solution to the Cauchy problem for multi-dimensional nonlinear elliptic equations via artificial neural networks”, Zh. vychisl. matem. i matem. fiz., 66:7 (2026), 1251–1276;
2025
6.
P. S. Surnin, M. A. Shishlenin, G. A. Bocharov, “Determination of the parameters of the mathematical model of the immune response to HIV”, Nonlocal and nonlinear problems, CMFD, 71, no. 1, PFUR, M., 2025, 159–175
7.
A.I. Glukhov, M.A. Shishlenin, N.V. Trusov, “Modelling the Dynamics of Social Protests: Mean-Field Games and Inverse Problems”, Differential Equations, 61:6 (2025), 917-936
8.
S. Petrovskii, M. Shishlenin, A. Glukhov, “Understanding street protests: from a mathematical model to protest management”, Plos one, 20:4 (2025), e0319837
N. Savchenko, N. Novikov, M. Shishlenin, “Convolutional neural networks of recovering acoustic absorption in ultrasound tomography from gradient data”, Journal of Mathematical Sciences, 2025
G. Bakanov, S. Chandragiri, S. Kabanikhin, M. Shishlenin, “Comparative Analysis of Numerical Methods for Solving 3D Continuation Problem for Wave Equation”, Mathematics, 13:18 (2025), 2979
G. Bakanov, S. Chandragiri, M. Shishlenin, “Jacobi numerical method for solving 3d continuation problem for wave equation”, Sibirskie elektronnye matematicheskie izvestiya, 22:1 (2025), 428-442
E.S. Tyatyushkina, A.S. Kozelkov, R.R. Giniyatullin, M.A. Shishlenin, “Propagation of pollutants in the atmosphere based on 3D Navier–Stokes equations: Direct and inverse source problem”, Journal of Inverse and Ill-posed Problems, 33:6 (2025), 889-907
13.
P.S. Surnin, M.A. Shishlenin, G.A. Bocharov, “Determining parameters of the mathematical model of the immune response to HIV infection.”, Journal of Mathematical Sciences, 293 (2025), 587-600 pp.
14.
S. I. Kabanikhin, M. A. Shishlenin, “Analysis of Cauchy data in ill-posed continuation problems from a part of the boundary”, Sib. Èlektron. Mat. Izv., 22:1 (2025), 255–269
15.
B. N. Chetverushkin, S. I. Kabanikhin, G. G. Lazareva, V. M. Goloviznin, Ya. Efendiev, P. N. Vabishchevich, T. Jiang, A. Hasanoglu, M. A. Bektemesov, M. A. Shishlenin, V. P. Il'in, “Vasiliy Ivanovich Vasil'ev (on his 75-th birthday)”, Sib. Èlektron. Mat. Izv., 22:1 (2025), 1–3
2024
16.
Mikhail V. Bezgachev, Maxim A. Shishlenin, Alexander V. Sokolov, “Identification of a mathematical model of economic development of two regions of the world”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 47 (2024), 12–30;
17.
D. V. Klyuchinskiy, N. S. Novikov, M. A. Shishlenin, “On the numerical reconstruction of the three-dimensional density of the medium in the acoustic system of equations”, Sib. elektron. matem. izv., 21:2 (2024), 82–98;
18.
N.S. Novikov, M.A. Shishlenin, D.V. Kluchinskiy, “Comparative Analysis of Two Gradient-Based Approaches to Inverse Problem of Ultrasound Tomography”, 2024 Days on Diffraction (DD) (St.Petersburg, Russian Federation, 2024), 2024 Days on Diffraction (DD), 2024, 120-126
N.V. Duc, D.N. Hào, M. Shishlenin, “Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations”, Journal of Inverse and Ill-posed Problems, 32:1 (2024), 9-20
M.A. Shishlenin, A.S. Kozelkov, N.S. Novikov, “Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues”, Mathematics, 12:2 (2024), 212
M. A. Shishlenin, N. A. Savchenko, N. S. Novikov, D. V. Klyuchinskiy, “On the reconstruction of the absorption coefficient for the 2D acoustic system”, Sib. elektron. matem. izv., 20:2 (2023), 1474–1489;
M.A. Shishlenin, A.T. Shakhatova, T. Mirgalikyzy, “Recovering of the reservoir conductivity by measurements on the surface using gpr data”, Eurasian Journal of Mathematical and Computer Applications, 11:1 (2023), 124-138
M.A. Botchev, S.I. Kabanikhin, M.A. Shishlenin, E.E. Tyrtyshnikov, “The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method”, Journal of Inverse and Ill-posed Problems, 31:2 (2023), 203-221
D.V. Lukyanenko, R. Argun, A.A. Borzunov, A.V. Gorbachev, V.D. Shinkarev, M.A. Shishlenin, A.G. Yagola, “On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types”, Differential Equations, 59:12 (2023), 1734-1757
R. L. Argun, A. V. Gorbachev, D. V. Lukyanenko, M. A. Shishlenin, “Features of numerical reconstruction of a boundary condition in an inverse problem for a reaction–diffusion–advection equation with data on the position of a reaction front”, Comput. Math. Math. Phys., 62:3 (2022), 441–451
27.
A. Alsulami, A. Glukhov, M. Shishlenin, S. Petrovskii, “Dynamical modelling of street protests using the Yellow Vest Movement and Khabarovsk as case studies”, Scientific Reports, 12:1 (2022), 20447
A. S. Kozelkov, O. L. Krutyakova, V. V. Kurulin, D. Yu. Strelets, M. A. Shishlenin, “The accuracy of numerical simulation of the acoustic wave propagations in a liquid medium based on Navier-Stokes equations”, Sib. elektron. matem. izv., 18:2 (2021), 1238–1250;
O. I. Krivorotko, S. I. Kabanikhin, N. Yu. Zyatkov, A. Yu. Prikhodko, N. M. Prokhoshin, M. A. Shishlenin, “Mathematical modeling and forecasting of COVID-19 in
Moscow and Novosibirsk region”, Num. Anal. Appl., 13:4 (2020), 332–348
30.
S. I. Kabanikhin, I. M. Kulikov, M. A. Shishlenin, “An algorithm for recovering the characteristics of the initial state of supernova”, Comput. Math. Math. Phys., 60:6 (2020), 1008–1016
2019
31.
D. V. Lukyanenko, V. B. Grigorev, V. T. Volkov, M. A. Shishlenin, “Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction–diffusion equation with the location of moving front data”, Computers and Mathematics with Applications, 77:5 (2019), 1245–1254
A. Belonosov, M. Shishlenin, D. Klyuchinskiy, “A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary”, Advances in Computational Mathematics, 45:2 (2019), 735–755
M. A. Shishlenin, S. E. Kasenov, Z. A. Askerbekova, “Numerical algorithm for solving the inverse problem for the Helmholtz equation”, Communications in Computer and Information Science, 998 (2019), 197–207
V. M. Isakov, S. I. Kabanikhin, A. A. Shananin, M. A. Shishlenin, S. Zhang, “Algorithm for determining the volatility function in the black–scholes model”, Comput. Math. Math. Phys., 59:10 (2019), 1753–1758
2018
35.
D. V. Lukyanenko, M. A. Shishlenin, V. T. Volkov, “Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data”, Communications in Nonlinear Science and Numerical Simulation, 54 (2018), 1339–1351
S. I. Kabanikhin, M. A. Shishlenin, “Recovery of the time-dependent diffusion coefficient by known non-local data”, Num. Anal. Appl., 11:1 (2018), 38–44
D. N. Hào, L. T. Thu Giang, S. Kabanikhin, M. Shishlenin, “A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation”, Journal of Inverse and Ill-Posed Problems, 26:6 (2018), 835–857
S. I. Kabanikhin, K. T. Iskakov, B. B. Sholpanbaev, M. A. Shishlenin, D. K. Tokseit, “Development of a mathematical model for signal processing using laboratory data”, Bulletin of the Karaganda University-Mathematics, 92:4 (2018), 148–157
N. S. Novikov, S. I. Kabanikhin, M. A.Shishlenin, “Direct method for solving coefficient inverse problems of seismics and acoustics”, Funktsionalnye prostranstva. Differentsialnye operatory. Problemy matematicheskogo obrazovaniya. Tezisy dokladov Pyatoi Mezhdunarodnoi konferentsii, posvyaschennoi 95-letiyu so dnya rozhdeniya chlenakorrespondenta RAN, akademika Evropeiskoi akademii nauk L.D. Kudryavtseva. (Rossiiskii universitet druzhby narodov. 26-29 noyabrya 2018.), Rossiiskii universitet druzhby narodov., Moskva, 2018, 238
42.
Kabanikhin S.I., Novikov N.S., Shishlenin M.A., “Svedenie obratnoi zadachi dlya uravneniya kolebanii k sisteme integralnykh uravnenii pervogo roda”, Trudy Mezhdunarodnoi konferentsii “Vychislitelnaya matematika i matematicheskaya geofizika” posvyaschennaya 90-letiyu so dnya rozhdeniya akademika A. S. Alekseeva ("Akademgorodok, Novosibirsk, 8–10 oktyabrya 2018 g."), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, Novosibirsk, 2018, 163–169
43.
Prikhodko A.Yu., Shishlenin M.A., Stadnichenko O.A., “Opredelenie skorostei khimicheskikh reaktsii v piroliticheskom reaktore”, Trudy Mezhdunarodnoi konferentsii “Vychislitelnaya matematika i matematicheskaya geofizika” posvyaschennaya 90-letiyu so dnya rozhdeniya akademika A. S. Alekseeva ("Akademgorodok, Novosibirsk, 8–10 oktyabrya 2018 g."), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2018, 323–331
44.
M. A. Shishlenin, “Mikroseismicheskii monitoring gidrorazryva plasta”, Trudy Mezhdunarodnoi konferentsii “Vychislitelnaya matematika i matematicheskaya geofizika” posvyaschennaya 90-letiyu so dnya rozhdeniya akademika A. S. Alekseeva ("Akademgorodok, Novosibirsk, 8–10 oktyabrya 2018 g."), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2018, 407–413
45.
M. A. Shishlenin, S. V. Golovin, “Opredelenie koeffitsienta parabolicheskogo uravneniya po dopolnitelnoi informatsii, zadannoi v diskretnom nabore tochek vnutri oblasti”, Trudy Mezhdunarodnoi konferentsii “Vychislitelnaya matematika i matematicheskaya geofizika” posvyaschennaya 90-letiyu so dnya rozhdeniya akademika A. S. Alekseeva ("Akademgorodok, Novosibirsk, 8–10 oktyabrya 2018 g."), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2018, 414–418
46.
S. Kabanikhin, M. Shishlenin, N. Novikov, “Multidimensional analogs of Gelfand-Levitan-Krein equations”, Proceedings of the 6th International Conference on Control and Optimization with Industrial Applications (Baku, Azerbaijan, July 11-13, 2018), 1, eds. A. Fikret, B. Tamer, Baku State University, Institute of Applied Mathematics, Baku, 2018, 31–33
47.
S. Kabanikhin, N. Novikov, M. Shishlenin, “Linear seismic data processing of area observing systems”, Proceedings of the 6th International Conference on Control and Optimization with Industrial Applications (Baku, Azerbaijan, July 11–13, 2018), 1, eds. A. Fikret, B. Tamer, Baku State University, Institute of Applied Mathematics, Baku, 2018, 219–221
2017
48.
Belonosov A., Shishlenin M., “Regularization methods of the continuation problem for the parabolic equation”, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 10187 LNCS (2017), 220–226
A. Yu. Prikhodko, M. A Shishlenin, “Sravnitelnyi analiz chislennykh metodov opredeleniya debita skvazhiny i obvodnennosti po dopolnitelnym izmereniyam davleniya i temperatury”, Trudy Mezhdunarodnoi nauchnoi konferentsii Marchukovskie nauchnye chteniya - 2017. (Novosibirsk, 25 iyunya-14 iyulya 2017 g.), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, Novosibirsk, 2017, 705-710
50.
S.I. Kabanikhin, M.A. Shishlenin, B.B. Sholpanbaev, “Chislennoe reshenie nachalno-kraevoi zadachi dlya uravneniya elektrodinamiki”, Trudy mezhdunarodnoi shkoly-konferentsii “Sobolevskie chteniya”. (Institut matematiki im. S.L. Soboleva SO RAN, Novosibirsk, 20-23 avgusta 2017 g.), Institut matematiki im. S.L. Soboleva SO RAN, Novosibirsk, 2017, 62-63
51.
G.G. Lazareva, M.A. Shishlenin, R.A. Idiyatullin, E.A. Fedorov, V.B. Zavolzhskii, I.V. Khlestov, “Pryamaya i obratnaya zadacha kompleksnogo vozdeistviya na plast s primeneniem tekhnologii TGKhV BS”, Trudy Mezhdunarodnoi nauchnoi konferentsii Marchukovskie nauchnye chteniya - 2017. (Novosibirsk, 25 iyunya-14 iyulya 2017 g.), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2017, 514-520
52.
S. I. Kabanikhin, M. A Shishlenin, “Koeffitsientnye obratnye zadachi dlya parabolicheskikh uravnenii s dannymi vnutri oblasti”, Trudy Mezhdunarodnoi nauchnoi konferentsii Marchukovskie nauchnye chteniya - 2017. (Novosibirsk, 25 iyunya-14 iyulya 2017 g.), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2017, 370-372
53.
S. I. Kabanikhin, M. A Shishlenin, “Vosstanovlenie koeffitsientov, zavisyaschikh ot vremeni, v dinamicheskikh obratnykh zadachakh po nelokalnym dannym”, Trudy Mezhdunarodnoi nauchnoi konferentsii Marchukovskie nauchnye chteniya - 2017. (Novosibirsk, 25 iyunya-14 iyulya 2017 g.), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2017, 364-369
54.
S. I. Kabanikhin, N. S. Novikov, M. A Shishlenin, “Ob odnoi modifikatsii uravneniya Gelfanda–Levitana”, Trudy Mezhdunarodnoi nauchnoi konferentsii Marchukovskie nauchnye chteniya - 2017. (Novosibirsk, 25 iyunya-14 iyulya 2017 g.), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2017, 357-363
55.
S. I. Kabanikhin, I. M. Kulikov, M. A Shishlenin, “O metode vysokogo poryadka tochnosti dlya resheniya pryamykh i obratnykh zadach gravitatsionnoi gazovoi dinamiki v sfericheskoi simmetrii”, Trudy Mezhdunarodnoi nauchnoi konferentsii Marchukovskie nauchnye chteniya - 2017. (Novosibirsk, 25 iyunya-14 iyulya 2017 g.), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2017, 348-356
56.
G. Bakanov, S. Kabanikhin, N. Novikov, M. Shishlenin, “On the solvability of the discrete analogue of Gelfand–Levitan equation”, Trudy Mezhdunarodnoi nauchnoi konferentsii Marchukovskie nauchnye chteniya - 2017. (Novosibirsk, 25 iyunya-14 iyulya 2017 g.), Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, 2017, 1118-1122
2016
57.
Titarenko S.S., Kulikov I.M., Chernykh I.G., Shishlenin M.A., Krivorot’Ko O.I., Voronov D.A., Hildyard M., “Multilevel parallelization: Grid methods for solving direct and inverse problems”, Communications in Computer and Information Science, 687 (2016), 118–131
S.I. Kabanikhin, M.A. Shishlenin, “Two-dimensional analogs of the equations of Gelfand, Levitan, Krein, and Marchenko”, Eurasian Journal of Mathematical and Computer Applications, 3:2 (2015), 70–99
62.
Kabanikhin S.I., Sabelfeld K.K., Novikov N.S., Shishlenin M.A., “Numerical solution of an inverse problem of coefficient recovering for a wave equation by a stochastic projection methods”, Monte Carlo Methods and Applications, 21:3 (2015), 189–203
S.I. Kabanikhin, M.A. Shishlenin, “Multidimensional analogues of Gelfand-Levitan, Marchenko and Krein equations. Theory, numerics and applications”, Vychislitelnye tekhnologii, 20:3 (2015), 63–69
65.
S.I. Kabanikhin, M. Bektemesov, M.A. Shishlenin, “The size of the domain of measurements is the regularization parameter in continuation problem”, Vychislitelnye tekhnologii, 20:3 (2015), 130–136
66.
S. I. Kabanikhin, M. A. Shishlenin, “Two-dimensional analogs of the equations of Gelfand, Levitan, Krein, and Marchenko”, Eurasian Journal of Mathematical and Computer Applications, 3:2 (2015), 70–99
2014
67.
M. A. Shishlenin, “The matrix method in inverse source problems”, Sib. Èlektron. Mat. Izv., 11 (2014), 161–171
68.
D. B. Nurseitov, M. A. Shishlenin, B. B. Sholpanbaev, “Two dimensional linearized inverse problems”, Sib. Èlektron. Mat. Izv., 11 (2014), 145–155
69.
A. S. Belonosov, M. A. Shishlenin, Sib. Èlektron. Mat. Izv., 11 (2014), 22–34
70.
S. I. Kabanikhin, M. A. Shishlenin, “Proceedings of the V International scientific school-conference for young scientists “Theory and numerical methods for solving inverse and ill-posed problem””, Sib. Èlektron. Mat. Izv., 11 (2014), 1–171
71.
Kabanikhin S.I., Shishlenin M.A., Nurseitov D.B., Nurseitova A.T., Kasenov S.E., “Comparative Analysis of Methods for Regularizing an Initial Boundary Value Problem for the Helmholtz Equation”, Journal of Applied Mathematics, 2014 (2014), 786326, 7 pp.
S.I. Kabanikhin, M.A. Shishlenin, “Regularization of the decision prolongation problem for parabolic and elliptic elliptic equations from border part”, Eurasian Journal of Mathematical and Computer Applications, 2:2 (2014), 81–91
2013
73.
S. I. Kabanikhin, O. I. Krivorotko, M. A. Shishlenin, “A numerical method for solving inverse thermoacoustic problem”, Num. Anal. Appl., 6:1 (2013), 34–39
74.
S. I. Kabanikhin, M. A. Shishlenin, “Proceedings of the IV International scientific school-conference for young scientists “Theory and numerical methods for solving inverse and ill-posed problem”. Part I”, Sib. Èlektron. Mat. Izv., 10 (2013), 1–86
75.
Kabanikhin S.I., Gasimov Y.S., Nurseitov D.B., Shishlenin M.A., Sholpanbaev B.B., Kasenov S., “Regularization of the continuation problem for elliptic equations”, Journal of Inverse and Ill-Posed Problems, 21:6 (2013), 871–884
S.I. Kabanikhin, M.A. Shishlenin, “Stability analysis of a continuation problem for the Helmholtz equation”, Bulletin of the Novosibirsk Computing Center. Series: Mathemaical Modeling in Geophysics, 16 (2013), 59-68
2012
79.
S. I. Kabanikhin, M. A. Shishlenin, “On the use of a priori information in coefficient inverse problems for hyperbolic equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 147–164
80.
S.I. Kabanikhin, K.T. Iskakov, M.A. Bektemesov, M.A. Shishlenin, Algoritmy i chislennye metody resheniya obratnykh i nekorrektnykh zadach, KazNPU, Astana, Kazakhstan, 2012
81.
S.I. Kabanikhin, M.A. Bektemesov, M.A. Shishlenin, Metody resheniya nekorrektnykh zadach lineinoi algebry, KazNPU, Almaty, Kazakhstan, 2012
82.
S.I. Kabanikhin, M.A. Shishlenin, “Numerical Methods for Solving Inverse Hyperbolic Problems”, Computational Methods for Applied Inverse Problems, eds. Wang Y., Yagola A.G., Yang C., de Gruyter, 2012, 369–394
M.A. Shishlenin, “Fourth International Scientific School-Conference for Young Scientists “Theory and Computational Methods for Inverse and Ill-Posed Problems””, Journal of Inverse and Ill-Posed Problems, 20:1 (2012), 133–136
2011
84.
S. I. Kabanikhin, A. N. Cheremisin, M. A. Shishlenin, “The inverse problem of determining stream watering and discharge in a vertical flowing well”, Sib. Zh. Ind. Mat., 14:3 (2011), 31–36
85.
M. I. Epov, S. I. Kabanikhin, V. L. Mironov, K. V. Muzalevskii, M. A. Shishlenin, “A comparative analysis of two methods for calculating electromagnetic fields in the near-well space of oil and gas collectors”, Sib. Zh. Ind. Mat., 14:2 (2011), 132–138
86.
S.I. Kabanikhin, M.A. Shishlenin, “Numerical algorithm for two-dimensional inverse acoustic problem based on Gel'fand-Levitan-Krein equation”, Journal of Inverse and Ill-Posed Problems, 18:9 (2011), 979–995
M.A. Shishlenin, “Third International Scientific Conference and Young Scientists School “Theory and Computational Methods for Inverse and Ill-Posed Problems””, Journal of Inverse and Ill-Posed Problems, 19:3 (2011), 545–548
92.
C. Clason, M.A. Shishlenin, “Recent advances in analytical and numerical methods in inverse problems for PDEs (minisymposium report)”, Journal of Inverse and Ill-Posed Problems, 18:9 (2011), 955–958
93.
Anikonov Y.E., Bakushinskii A.B., Goncharsky A.V., Hasanov A., Kabanikhin S.I., Lavrentiev M.M., Romanov V.G., Shishlenin M.A., Tanana V.P., Tikhonravov A.V., Vasin V.V., Yagola A.G., “Michael V. Klibanov”, Journal of Inverse and Ill-Posed Problems, 19:3 (2011), 533–536
2010
94.
S. I. Kabanikhin, A. N. Cheremisin, M. A. Shishlenin, “Finite element method for Helmholtz equation”, Sib. Èlektron. Mat. Izv., 7 (2010), 362–379
95.
V. G. Romanov, S. I. Kabanikhin, M. A. Shishlenin, “Investigation of mathematical model of electromagnetic probe in axially symmetrical borehole”, Sib. Èlektron. Mat. Izv., 7 (2010), 307–321
96.
S. I. Kabanikhin, M. A. Shishlenin, “Direct methods for solving inverse acoustic problems”, Sib. Èlektron. Mat. Izv., 7 (2010), 199–206
97.
M. A. Shishlenin, “Direct method for solving inverse acoustic problems”, Sib. Èlektron. Mat. Izv., 7 (2010), 123–129
98.
S. I. Kabanikhin, M. A. Shishlenin, “Proceedings of the first international scientific school-conference for young scientists “Theory and numerical methods for solving inverse and ill-posed problem”, Part I”, Sib. Èlektron. Mat. Izv., 7 (2010), 1–394
2008
99.
S. I. Kabanikhin, M. A. Shishlenin, “Direct and iteration methods for solving inverse and ill-posed problems”, Sib. Èlektron. Mat. Izv., 5 (2008), 595–608
100.
S.I. Kabanikhin, M.A. Shishlenin, “Quasi-solution in inverse coefficient problems”, Journal of Inverse and Ill-Posed Problems, 16:7 (2008), 705–713
Beilina L., Shishlenin M.A., Computational Comparison of Adaptive Hybrid FEM/FDM Method and Gel'Fand-Levitan-Krein Method for an Inverse Scattering Problem, Preprints of Math. Department of Basel University, Basel University, Basel, 2006
2004
102.
S.I. Kabanikhin, M.A. Shishlenin, “Boundary control and Gel’fand-Levitan-Krein methods in inverse acoustic problem”, Journal of Inverse Ill-Posed Problem, 12:2 (2004), 125–144
S.I. Kabanikhin, A.D. Satybaev, M.A. Shishlenin, Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems, VSP, Utrecht, Boston, 2004, 180 pp.
2003
104.
S. I. Kabanikhin, O. Scherzer, M. A. Shishlenin, “Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation”, Journal of Inverse and Ill-Posed Problems, 11:1 (2003), 87–109
S.I. Kabanikhin, M.A. Shishlenin, “Comparative analysis of boundary control and Gel'fand-Levitan methods of solving inverse acoustic problem”, Inverse Problems in Engineering Mechanics IV, Elsevier, 2003, 503–512
Inverse problems of acoustical tomography M. A. Shishlenin, S. I. Kabanikhin, N. S. Novikov The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023) December 4, 2023 17:40
4.
Обратные задачи электроакустической медицинской томографии: численные методы и глубокое обучение M. A. Shishlenin VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 15, 2023 16:30
2026
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