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Petrov, Igor Borisovich
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person26475
https://ru.wikipedia.org/wiki/Petrov,_Igor_Borisovich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/198418
https://elibrary.ru/author_items.asp?authorid=9347
https://orcid.org/0000-0003-3978-9072
https://www.researchgate.net/profile/Petrov-Igor

Publications in Math-Net.Ru Citations
2025
1. I. B. Petrov, D. A. Prikazchikov, N. I. Khokhlov, “Numerical solution of integro-differential equations of the theory of viscoelasticity with kernels of exponential and Rabotnov types”, Dokl. RAN. Math. Inf. Proc. Upr., 521 (2025),  88–95  mathnet  elib
2. Evgeniya K. Guseva, Vasily I. Golubev, Igor B. Petrov, Victor P. Epifanov, “Elastoplastic ice model with dynamic damage for simulation of non-linear processes during a low-speed impact”, J. Sib. Fed. Univ. Math. Phys., 18:2 (2025),  179–190  mathnet
3. E. K. Guseva, V. I. Golubev, V. P. Epifanov, I. B. Petrov, “A compound elastoplastic model with hydrostatic core and fracturing for localization of nonlinear deformations in ice during a low-speed impact”, Sib. Zh. Vychisl. Mat., 28:3 (2025),  269–286  mathnet
4. E. A. Pesnya, I. B. Petrov, A. V. Favorskaya, “Grid-characteristic method with implicit schemes and contact conditions at the material interface”, Zh. Vychisl. Mat. Mat. Fiz., 65:11 (2025),  1955–1970  mathnet  elib
5. A. S. Stankevich, I. B. Petrov, “Acoustic waveform inversion with image-to-image Schrödinger bridges”, Zh. Vychisl. Mat. Mat. Fiz., 65:8 (2025),  1451–1466  mathnet  elib; Comput. Math. Math. Phys., 65:8 (2025), 2035–2051
6. A. V. Favorskaya, I. B. Petrov, A. A. Kozhemyachenko, “Grid-characteristic method combined with discontinuous Galerkin method for simulation of wave propagation through linear elastic media in the three-dimensional case”, Zh. Vychisl. Mat. Mat. Fiz., 65:2 (2025),  222–234  mathnet  elib; Comput. Math. Math. Phys., 65:2 (2025), 403–415
2024
7. I. B. Petrov, V. I. Golubev, A. V. Shevchenko, A. Sharma, “Three-dimensional grid-characteristic schemes of high order of approximation”, Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024),  11–18  mathnet  elib; Dokl. Math., 110:3 (2024), 457–463 1
8. E. K. Guseva, V. I. Golubev, V. P. Epifanov, I. B. Petrov, “Study of rheological ice models based on numerical simulation of low-velocity impact with a ball indentor”, Prikl. Mekh. Tekh. Fiz., 65:6 (2024),  181–194  mathnet  elib; J. Appl. Mech. Tech. Phys., 65:6 (2024), 1169–1181
9. A. V. Vasyukov, I. B. Petrov, “Increasing the order of approximation for calculations of wave processes in a composite sample when using an unstructured computational grid”, Prikl. Mekh. Tekh. Fiz., 65:3 (2024),  152–160  mathnet  elib; J. Appl. Mech. Tech. Phys., 65:3 (2024), 528–535 1
10. E. K. Guseva, V. I. Golubev, I. B. Petrov, “Numerical computation of methane migration effect on seismic survey results in permafrost zones”, Zh. Vychisl. Mat. Mat. Fiz., 64:9 (2024),  1708–1717  mathnet  elib; Comput. Math. Math. Phys., 64:9 (2024), 2085–2093 1
11. A. V. Shevchenko, I. S. Nikitin, V. I. Golubev, I. B. Petrov, “Explicit-implicit numerical scheme for problems in the dynamics of elastoviscoplastic media with softening”, Zh. Vychisl. Mat. Mat. Fiz., 64:9 (2024),  1689–1698  mathnet  elib; Comput. Math. Math. Phys., 64:9 (2024), 2066–2075
12. M. S. Malovichko, A. E. Orazbayev, N. I. Khokhlov, I. B. Petrov, “Iterative PDE-constrained optimization for seismic full-waveform inversion”, Comput. Math. Math. Phys., 64:5 (2024), 954–966  mathnet 1
2023
13. I. B. Petrov, V. I. Golubev, A. V. Shevchenko, I. S. Nikitin, “About the boundary condition approximation in the higher-order grid-characteristic schemes”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  52–58  mathnet  elib; Dokl. Math., 108:3 (2023), 466–471 3
14. I. B. Petrov, A. S. Stankevich, A. V. Vasyukov, “On obtaining initial approximation for full wave inversion problem using convolutional neural network”, Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023),  58–64  mathnet  elib; Dokl. Math., 108:1 (2023), 291–296 2
15. E. K. Guseva, V. I. Golubev, I. B. Petrov, “Linear quasi-monotonous and hybrid grid-characteristic schemes for the numerical solution of linear acoustic problems”, Sib. Zh. Vychisl. Mat., 26:2 (2023),  135–147  mathnet; Num. Anal. Appl., 16:2 (2023), 112–122 8
16. M. V. Muratov, D. S. Konov, D. I. Petrov, I. B. Petrov, “Application of convolutional neural networks for search and determination of physical characteristics of inhomogeneities in geological media from seismic data”, Mathematical notes of NEFU, 30:1 (2023),  101–113  mathnet
2022
17. V. I. Golubev, A. V. Shevchenko, I. B. Petrov, “Raising convergence order of grid-characteristic schemes for 2D linear elasticity problems using operator splitting”, Computer Research and Modeling, 14:4 (2022),  899–910  mathnet; Computer Research and Modeling, 14:4 (2022), e899–e910 21
18. A. V. Vasyukov, K. A. Beklemysheva, E. S. Onuchin, N. A. Tovarnova, I. B. Petrov, “Calculation of transverse wave speed in preloaded fibres under an impact”, Computer Research and Modeling, 14:4 (2022),  887–897  mathnet
19. I. B. Petrov, V. I. Golubev, Yu. S. Ankipovich, A. V. Favorskaya, “Numerical modeling of acoustic processes in gradient media using the grid-characteristic method”, Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  51–56  mathnet  mathscinet  elib; Dokl. Math., 106:3 (2022), 449–453 5
20. I. B. Petrov, A. V. Favorskaya, “Joint modeling of wave phenomena by applying the grid-characteristic method and the discontinuous Galerkin method”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  62–67  mathnet  elib; Dokl. Math., 106:2 (2022), 356–360 3
21. I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, E. S. Onuchin, N. A. Tovarnova, “Erratum to: On numerical modeling of fiber deformation and destruction under impact load”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022),  303  mathnet; Dokl. Math., 106:1 (2022), 303
22. I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, E. S. Onuchin, N. A. Tovarnova, “On numerical modeling of fiber deformation and destruction under impact load”, Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022),  83–87  mathnet  elib; Dokl. Math., 105:3 (2022), 207–211 2
23. A. V. Vasyukov, A. S. Stankevich, K. A. Beklemysheva, I. B. Petrov, “Using 2D/3D convolutional neural networks and direct numerical modeling for transcranial ultrasound problems”, Dal'nevost. Mat. Zh., 22:2 (2022),  255–256  mathnet  mathscinet
2021
24. I. B. Petrov, V. I. Golubev, E. K. Guseva, “Hybrid grid-characteristic schemes for arctic seismic problems”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021),  67–73  mathnet  zmath  elib; Dokl. Math., 501:3 (2021), 374–379  scopus 2
25. I. B. Petrov, P. V. Stognii, N. I. Khokhlov, “Mathematical modeling of 3D dynamic processes near a fracture using the Schoenberg fracture model”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  40–44  mathnet  zmath  elib; Dokl. Math., 104:2 (2021), 254–257  scopus 1
26. I. B. Petrov, V. I. Golubev, V. Yu. Petrukhin, I. S. Nikitin, “Simulation of seismic waves in anisotropic media”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021),  59–64  mathnet  zmath  elib; Dokl. Math., 103:3 (2021), 146–150  scopus 11
27. A. A. Kozhemyachenko, I. B. Petrov, A. V. Favorskaya, “Calculation of a railway with unsupported sleepers by a grid-characteristic method”, Prikl. Mekh. Tekh. Fiz., 62:2 (2021),  193–200  mathnet  elib; J. Appl. Mech. Tech. Phys., 62:2 (2021), 344–350 4
28. Igor B. Petrov, “Simulation of dynamic processes in deformable medium with the grid-characteristic approach”, Russian Journal of Cybernetics, 2:2 (2021),  74–81  mathnet
29. I. B. Petrov, A. V. Favorskaya, “Computation of seismic resistance of an ice island by the grid-characteristic method on combined grids”, Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021),  1363–1377  mathnet  elib; Comput. Math. Math. Phys., 61:8 (2021), 1339–1352  isi  scopus 2
2020
30. M. S. Malovichko, I. B. Petrov, “On numerical solution of joint inverse geophysical problems with structural constraints”, Computer Research and Modeling, 12:2 (2020),  329–343  mathnet
31. P. V. Stognii, I. B. Petrov, “Numerical modelling of seismic waves spread in models with an ice field in the arctic shelf”, Computer Research and Modeling, 12:1 (2020),  73–82  mathnet 1
32. I. B. Petrov, M. V. Muratov, F. I. Sergeev, “Stability analysis of artificial ice islands by methods of mathematical modeling”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  44–47  mathnet  zmath  elib; Dokl. Math., 102:3 (2020), 483–486 3
33. I. B. Petrov, V. I. Golubev, A. V. Shevchenko, “Problem of acoustic diagnostics of a damaged zone”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020),  92–96  mathnet  zmath  elib; Dokl. Math., 101:3 (2020), 250–253 7
34. M. V. Muratov, V. A. Biryukov, I. B. Petrov, “Solution of the fracture detection problem by machine learning methods”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  107–110  mathnet  zmath  elib; Dokl. Math., 101:2 (2020), 169–171 4
35. A. V. Vasyukov, I. B. Petrov, K. A. Beklemysheva, M. V. Yakobovskiy, Yu. A. Poveschenko, V. A. Gasilov, D. S. Boykov, “Model and calculation of the stress-strain state of a hydrate-containing medium during its partial thawing”, Keldysh Institute preprints, 2020, 099, 23 pp.  mathnet
36. A. V. Vasyukov, M. A. Elovenkova, I. B. Petrov, “Modeling of thin fiber deformation and destruction under dynamic load”, Mat. Model., 32:5 (2020),  95–102  mathnet; Math. Models Comput. Simul., 13:1 (2021), 60–65 3
37. A. V. Favorskaya, I. B. Petrov, “Grid-characteristic calculation of multistorey buildings destruction”, Mat. Model., 32:3 (2020),  102–114  mathnet; Math. Models Comput. Simul., 12:6 (2020), 897–906 1
38. P. V. Stognii, N. I. Khokhlov, I. B. Petrov, “The numerical modeling of the elastic waves propagation in the geological media with gas cavities using the grid-characteristic method”, Sib. Zh. Vychisl. Mat., 23:3 (2020),  325–338  mathnet; Num. Anal. Appl., 13:3 (2020), 271–281  isi 3
39. E. M. Lavrischeva, I. B. Petrov, “Modeling technical and mathematical tasks of applied knowledge areas on computers”, Proceedings of ISP RAS, 32:6 (2020),  167–182  mathnet 1
40. A. A. Kozhemyachenko, I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Boundary conditions for modeling the impact of wheels on railway track”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1587–1603  mathnet  elib; Comput. Math. Math. Phys., 60:9 (2020), 1539–1554  isi  scopus 15
2019
41. M. V. Muratov, I. B. Petrov, “Application of mathematical fracture models to simulation of exploration seismology problems by the grid-characteristic method”, Computer Research and Modeling, 11:6 (2019),  1077–1082  mathnet 6
42. I. B. Petrov, “Application of the grid-characteristic method for mathematical modeling in dynamical problems of deformable solid mechanics”, Computer Research and Modeling, 11:6 (2019),  1041–1048  mathnet 2
43. I. B. Petrov, M. V. Muratov, “The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article)”, Mat. Model., 31:4 (2019),  33–56  mathnet  elib; Math. Models Comput. Simul., 11:6 (2019), 924–939 21
44. K. A. Beklemysheva, A. V. Vasyukov, V. I. Golubev, I. B. Petrov, “Numerical modeling of seismic influence on underwater composite oil pipeline”, Mat. Model., 31:1 (2019),  103–113  mathnet  elib; Math. Models Comput. Simul., 11:5 (2019), 715–721 6
45. N. I. Khokhlov, I. B. Petrov, “Application of the grid-characteristic method for solving the problems of the propagation of dynamic wave disturbances in high-performance computing systems”, Proceedings of ISP RAS, 31:6 (2019),  237–252  mathnet 9
2018
46. A. V. Favorskaya, I. B. Petrov, “The use of full-wave numerical simulation for the investigation of fractured zones”, Mat. Model., 30:11 (2018),  105–126  mathnet; Math. Models Comput. Simul., 11:4 (2019), 518–530 17
47. K. A. Beklemysheva, I. B. Petrov, “Numerical modeling of low-velocity impact on hybrid composite”, Mat. Model., 30:11 (2018),  27–43  mathnet; Math. Models Comput. Simul., 11:3 (2019), 469–478 9
48. V. A. Miryaha, I. B. Petrov, “Discontinuous Galerkin method for simulation of ice flow impact on vertical cylinder offshore structure”, Mat. Model., 30:9 (2018),  111–134  mathnet; Math. Models Comput. Simul., 11:3 (2019), 400–414 7
49. P. V. Stognii, D. I. Petrov, N. I. Khokhlov, I. B. Petrov, “Numerical modeling by grid-characteristic method of influence of ice formations on seismic replies”, Mat. Model., 30:8 (2018),  107–115  mathnet 2
50. I. B. Petrov, “Problems of simulation of natural and anthropogenous processes in the Arctic zone of the Russian Federation”, Mat. Model., 30:7 (2018),  103–136  mathnet; Math. Models Comput. Simul., 11:2 (2019), 226–246 8
51. V. A. Gasilov, A. S. Grushin, A. S. Ermakov, O. G. Olkhovskaya, I. B. Petrov, “Modelling of the destruction of polymers under high energy impact”, Mat. Model., 30:7 (2018),  61–78  mathnet; Math. Models Comput. Simul., 11:2 (2019), 198–208 7
52. A. V. Favorskaya, I. B. Petrov, “Numerical modeling of wave processes in the rocks by grid-characteristic method”, Mat. Model., 30:3 (2018),  37–51  mathnet  elib; Math. Models Comput. Simul., 10:5 (2018), 639–647 12
53. V. A. Miryaha, A. V. Sannikov, V. A. Biryukov, I. B. Petrov, “Discontinuous Galerkin method for ice strength investigation”, Mat. Model., 30:2 (2018),  110–118  mathnet  elib; Math. Models Comput. Simul., 10:5 (2018), 609–615 4
54. V. I. Golubev, O. Ya. Voinov, I. B. Petrov, “Seismic imaging of fractured elastic media on the basis of the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  113–119  mathnet  elib; Comput. Math. Math. Phys., 58:8 (2018), 1309–1315  isi  scopus 2
55. A. V. Vasyukov, I. B. Petrov, “Grid-characteristic method on tetrahedral unstructured meshes with large topological inhomogeneities”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  62–72  mathnet  elib; Comput. Math. Math. Phys., 58:8 (2018), 1259–1269  isi 6
2017
56. I. B. Petrov, “Numerical problems of the modeling of natural and industrial processes in the Arctic zone of the Russian Federation”, Chebyshevskii Sb., 18:3 (2017),  428–443  mathnet 2
57. D. P. Grigorievih, N. I. Khokhlov, I. B. Petrov, “Calculation of dynamic destruction in deformable bodies”, Mat. Model., 29:4 (2017),  45–58  mathnet  elib 4
58. V. I. Golubev, R. I. Gilyazutdinov, I. B. Petrov, N. I. Khokhlov, A. V. Vasyukov, “Simulation of dynamic processes in three-dimensional layered cracked media with the use of the grid-characteristic numerical method”, Prikl. Mekh. Tekh. Fiz., 58:3 (2017),  190–197  mathnet  elib; J. Appl. Mech. Tech. Phys., 58:3 (2017), 539–545 8
59. I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1804–1811  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1771–1777  isi  scopus 29
2016
60. M. V. Muratov, I. B. Petrov, V. B. Levyant, “The development of fracture mathematical models for numerical solution of exploration seismology problems with use of grid-characteristic method”, Computer Research and Modeling, 8:6 (2016),  911–925  mathnet 2
61. A. V. Astanin, A. D. Dashkevich, I. B. Petrov, M. N. Petrov, S. V. Utyuzhnikov, N. I. Khokhlov, “Modeling the influence of the Chelyabinsk meteorite's bow shock wave on the Earth surface”, Mat. Model., 28:8 (2016),  33–45  mathnet  elib; Math. Models Comput. Simul., 9:2 (2017), 133–141  scopus 3
62. M. V. Muratov, I. B. Petrov, I. E. Kvasov, “Numerical solution of exploration seismology problems in areas of fractures reservoirs”, Mat. Model., 28:7 (2016),  31–44  mathnet  elib 3
63. V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Compact grid-characteristic schemes of higher orders for 3D linear transport equation”, Mat. Model., 28:2 (2016),  123–132  mathnet  elib; Math. Models Comput. Simul., 8:5 (2016), 577–584  scopus 29
64. K. A. Beklemysheva, A. V. Vasyukov, A. S. Ermakov, I. B. Petrov, “Numerical modeling of composite materials failure using grid-characteristic method”, Mat. Model., 28:2 (2016),  97–110  mathnet  elib; Math. Models Comput. Simul., 8:5 (2016), 557–567  scopus 20
65. A. V. Favorskaya, I. B. Petrov, “The study of increased order grid-characteristic methods on unstructured grids”, Sib. Zh. Vychisl. Mat., 19:2 (2016),  223–233  mathnet  mathscinet  elib; Num. Anal. Appl., 9:2 (2016), 171–178  isi  elib  scopus 18
66. I. E. Kvasov, V. B. Leviant, I. B. Petrov, “Numerical study of wave propagation in porous media with the use of the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1645–1656  mathnet  elib; Comput. Math. Math. Phys., 56:9 (2016), 1620–1630  isi  scopus 8
67. D. I. Petrov, I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  1149–1163  mathnet  elib; Comput. Math. Math. Phys., 56:6 (2016), 1128–1141  isi  scopus 7
68. V. A. Biryukov, V. A. Miryaha, I. B. Petrov, N. I. Khokhlov, “Simulation of elastic wave propagation in geological media: Intercomparison of three numerical methods”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  1104–1114  mathnet  elib; Comput. Math. Math. Phys., 56:6 (2016), 1086–1095  isi  scopus 32
2015
69. I. B. Petrov, M. V. Muratov, A. V. Favorskaya, V. A. Biryukov, A. V. Sannikov, “Numerical modeling of straight 3d exploration seismology problems with use of grid-characteristic method on unstructured tetrahedral meshes”, Computer Research and Modeling, 7:4 (2015),  875–887  mathnet 2
70. A. V. Favorskaya, I. B. Petrov, V. I. Golubev, N. I. Khokhlov, “Numerical simulation of earthquakes' impact on facilities by grid-characteristic method”, Mat. Model., 27:12 (2015),  109–120  mathnet  elib 4
71. A. V. Favorskaya, I. B. Petrov, D. I. Petrov, N. I. Khokhlov, “Numerical modeling of wave processes in layered media in the Arctic”, Mat. Model., 27:11 (2015),  63–75  mathnet  elib; Math. Models Comput. Simul., 8:4 (2016), 348–357 5
72. V. A. Miryaha, A. V. Sannikov, I. B. Petrov, “Discontinuous Galerkin method for numerical simulation of dynamic processes in solids”, Mat. Model., 27:3 (2015),  96–108  mathnet  elib; Math. Models Comput. Simul., 7:5 (2015), 446–455  scopus 20
73. V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Simulation of seismic processes inside the planet using hybrid grid-characteristic method”, Mat. Model., 27:2 (2015),  139–148  mathnet  elib; Math. Models Comput. Simul., 7:5 (2015), 439–445  scopus 7
74. V. A. Biryukov, M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya, “Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1762–1772  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:10 (2015), 1733–1742  isi  elib  scopus 8
75. K. A. Beklemysheva, A. V. Vasyukov, I. B. Petrov, “Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015),  1380–1390  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:8 (2015), 1346–1355  isi  elib  scopus 7
76. V. I. Golubev, I. B. Petrov, N. I. Khokhlov, K. I. Shul'ts, “Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  512–522  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:3 (2015), 509–518  isi  elib  scopus 18
2014
77. I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, A. S. Ermakov, A. S. Dziuba, V. I. Golovan, “Numerical modeling of low energy strike at composite stringer panel”, Mat. Model., 26:9 (2014),  96–110  mathnet 3
78. I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, V. A. Miryaha, A. V. Sannikov, V. I. Golubev, “The monitoring state of a moving train using high performance systems and modern computational methods”, Mat. Model., 26:7 (2014),  19–32  mathnet; Math. Models Comput. Simul., 7:1 (2015), 51–61  scopus 22
79. I. B. Petrov, N. I. Khokhlov, “Modeling of 3D seismic problems using high-performance computing”, Mat. Model., 26:1 (2014),  83–95  mathnet; Math. Models Comput. Simul., 6:4 (2014), 342–350  scopus 16
80. A. V. Vasyukov, A. S. Ermakov, I. B. Petrov, A. P. Potapov, A. V. Favorskaya, A. V. Shevtsov, “Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems”, Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014),  1203–1217  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 54:7 (2014), 1176–1189  isi  elib  scopus 9
81. M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya, “Grid-characteristic method on unstructured tetrahedral meshes”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014),  821–832  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:5 (2014), 837–847  isi  elib  scopus 18
2013
82. I. B. Petrov, V. A. Miryaha, A. V. Sannikov, A. V. Shevtsov, “Computational modeling of a meteor entering atmosphere dense layersusing elastoplastic approximation”, Computer Research and Modeling, 5:6 (2013),  957–967  mathnet 2
83. K. A. Beklemysheva, I. B. Petrov, A. V. Favorskaya, “Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method”, Mat. Model., 25:11 (2013),  3–16  mathnet; Math. Models Comput. Simul., 6:3 (2014), 294–304  scopus 19
84. M. V. Muratov, I. B. Petrov, “Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method”, Mat. Model., 25:3 (2013),  89–104  mathnet  mathscinet; Math. Models Comput. Simul., 5:5 (2013), 479–491  scopus 16
85. I. B. Petrov, A. V. Favorskaya, A. V. Sannikov, I. E. Kvasov, “Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step”, Mat. Model., 25:2 (2013),  42–52  mathnet; Math. Models Comput. Simul., 5:5 (2013), 409–415  scopus 41
86. V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Numerical simulation of seismic activity by the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013),  1709–1720  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:10 (2013), 1523–1533  isi  elib  scopus 34
2012
87. I. E. Kvasov, I. B. Petrov, “High-performance computer simulation of wave processes in geological media in seismic exploration”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  330–341  mathnet  zmath  elib; Comput. Math. Math. Phys., 52:2 (2012), 302–313  isi  elib  scopus 25
2011
88. I. E. Kvasov, I. B. Petrov, “Numerical study of anisotropy of wave responses from fractured reservoir by grid-characteristic method”, Mat. Model., 23:10 (2011),  97–106  mathnet; Math. Models Comput. Simul., 4:3 (2012), 336–343  scopus 3
89. V. I. Golubev, I. E. Kvasov, I. B. Petrov, “Influence of natural disasters on ground facilities”, Mat. Model., 23:8 (2011),  46–54  mathnet; Math. Models Comput. Simul., 4:2 (2012), 129–134  scopus 14
2010
90. I. E. Kvasov, S. A. Pankratov, I. B. Petrov, “Computation of dynamic processes in continuous media with a crack initiated by the near-surface disturbance using grid-characteristic method”, Mat. Model., 22:11 (2010),  109–122  mathnet; Math. Models Comput. Simul., 3:3 (2011), 399–409  scopus 5
91. I. E. Kvasov, S. A. Pankratov, I. B. Petrov, “Computational modeling of seysmoresponse in multilayered geologic medium by grid-characteristic method”, Mat. Model., 22:9 (2010),  13–22  mathnet; Math. Models Comput. Simul., 3:2 (2011), 196–204  scopus 22
2009
92. A. P. Potapov, S. I. Royz, I. B. Petrov, “Modeling of wave processes with smoothed particle hydrodynamics method”, Mat. Model., 21:7 (2009),  20–28  mathnet  zmath 5
93. I. E. Kvasov, I. B. Petrov, F. B. Chelnokov, “Computation of wave processes in nonuniform 3D constructions”, Mat. Model., 21:5 (2009),  3–9  mathnet  zmath 11
94. N. G. Matyushev, I. B. Petrov, “Mathematical simulation of deformation and wave processes in multilayered structures”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009),  1690–1696  mathnet  zmath; Comput. Math. Math. Phys., 49:9 (2009), 1615–1621  isi  scopus 3
2007
95. N. S. Matsievsky, I. B. Petrov, F. B. Chelnokov, “Numerical research of dynamic behavior of complicated constructions in impacts on rectangle and triangle grids”, Mat. Model., 19:9 (2007),  105–113  mathnet  mathscinet  zmath
2006
96. I. B. Petrov, “Simulation of deformation processes in complex construction under dynamic intensitive loadings”, Mat. Model., 18:5 (2006),  91–110  mathnet  zmath 2
97. P. I. Agapov, O. M. Belotserkovskii, I. B. Petrov, “Numerical simulation of the consequences of a mechanical action on a human brain under a skull injury”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006),  1711–1720  mathnet  mathscinet; Comput. Math. Math. Phys., 46:9 (2006), 1629–1638  scopus 19
2005
98. D. V. Kolyadin, I. B. Petrov, “О проблеме идентификации пользователя по почерку в биометрической системе контроля доступа”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2005, no. 3,  61–70  mathnet
99. I. B. Petrov, “Расчет динамических процессов в сооружениях при падении самолетов”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2005, no. 1,  130–139  mathnet
2003
100. I. B. Petrov, “О численном моделировании биомеханических процессов в медицинской практике”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2003, no. 1-2,  102–111  mathnet
101. N. N. Balanovskii, A. V. Bubnov, A. S. Obukhov, I. B. Petrov, “Computation of dynamical processes in eye during laser cataract extraction”, Mat. Model., 15:11 (2003),  37–44  mathnet  zmath 2
102. I. B. Petrov, F. B. Chelnokov, V. V. Chibrikov, “Computational investigation of wave processes in perforated deformable media”, Mat. Model., 15:10 (2003),  89–94  mathnet  zmath 2
103. I. B. Petrov, F. B. Chelnokov, “Numerical analysis of wave processes and fracture in layered targets”, Zh. Vychisl. Mat. Mat. Fiz., 43:10 (2003),  1562–1579  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:10 (2003), 1503–1519 19
2002
104. A. I. Lobanov, R. A. Pashkov, I. B. Petrov, A. A. Polezhaev, “Spatial patterns formed by chemotactic bacteria Escherichia coli”, Mat. Model., 14:10 (2002),  17–26  mathnet  mathscinet  zmath 2
2000
105. I. B. Petrov, A. A. Polezhaev, A. C. Shestakov, “Wave processes in nonlinear active media”, Mat. Model., 12:1 (2000),  38–44  mathnet  mathscinet  zmath 3
1999
106. V. D. Ivanov, I. B. Petrov, I. G. Tormasov, A. S. Kholodov, R. A. Pashutin, “Grid characteristic method of dynamic deformation calculation on irregular grids”, Mat. Model., 11:7 (1999),  118–127  mathnet 8
107. Yu. V. Blazhevich, V. D. Ivanov, I. B. Petrov, I. V. Petviashvili, “High impact modeling with smooth particle hydrodynamics”, Mat. Model., 11:1 (1999),  88–100  mathnet  mathscinet  zmath 8
1993
108. A. I. Lobanov, I. B. Petrov, “Simultaneous numerical solution of the compressed plasma effects and railgun electrodes problems”, Mat. Model., 5:10 (1993),  48–56  mathnet  zmath 2
1992
109. I. B. Petrov, I. G. Tormasov, “Numerical investigation of oblique collision of hard sphere with two-layer elastic-plastic slab”, Mat. Model., 4:3 (1992),  20–27  mathnet 3
1990
110. I. B. Petrov, I. G. Tormasov, “On the numerical analysis of three-dimensional problems of compression waves flow about an obstacle or a slot in elastoplastic half-space”, Dokl. Akad. Nauk SSSR, 314:4 (1990),  817–820  mathnet 2
111. V. D. Ivanov, V. I. Kondaurov, I. B. Petrov, A. S. Kholodov, “Calculation of dynamic deformation and distructure of elastic-plastic body by grid-characteristic methods”, Mat. Model., 2:11 (1990),  10–29  mathnet  mathscinet  zmath 30
112. A. V. Ostrik, I. B. Petrov, V. P. Petrovsky, “Calculation of short acoustic puls diffraction on a hole of the complicated form in the filling with elastic covering”, Mat. Model., 2:8 (1990),  51–59  mathnet  zmath 1
113. I. B. Petrov, I. G. Tormasov, “About numerical solution of the three-dimensional shock problems”, Mat. Model., 2:2 (1990),  58–72  mathnet  mathscinet  zmath 1
114. I. B. Petrov, I. G. Tormasov, A. S. Kholodov, “On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1237–1244  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 191–196 23
1989
115. P. N. Korotin, A. V. Ostrik, I. B. Petrov, “Numerical study of wave processes induced by the bulk energy absorption in targets of finite thickness”, Dokl. Akad. Nauk SSSR, 308:5 (1989),  1065–1069  mathnet 3
116. P. N. Korotin, I. B. Petrov, A. S. Kholodov, “Numerical modelling of the behaviour of elastic and elasto-plastic bodies in the presence of strong energy fluxes”, Mat. Model., 1:7 (1989),  1–12  mathnet  zmath 5
1987
117. P. N. Korotin, I. B. Petrov, V. B. Pirogov, A. S. Kholodov, “On a numerical solution of related problems of supersonic flow over deformable shells of finite thickness”, Zh. Vychisl. Mat. Mat. Fiz., 27:8 (1987),  1233–1243  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 181–188 4
1985
118. V. I. Kondaurov, I. B. Petrov, “Computation of dynamic-deformation processes in elastoplastic solids with allowance for continual failure”, Dokl. Akad. Nauk SSSR, 285:6 (1985),  1344–1347  mathnet  zmath 3
1984
119. V. I. Kondaurov, I. B. Petrov, A. S. Kholodov, “Numerical modeling of the process of penetration of a rigid body of revolution into an elastoplastic barrier”, Prikl. Mekh. Tekh. Fiz., 25:4 (1984),  132–139  mathnet; J. Appl. Mech. Tech. Phys., 25:4 (1984), 625–632 3
120. I. B. Petrov, A. S. Kholodov, “Regularization of discontinuous numerical solutions of equations of hyperbolic type”, Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1172–1188  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 128–138 39
121. I. B. Petrov, A. S. Kholodov, “Numerical investigation of certain dynamical problems of the mechanics of a deformable solid body by the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984),  722–739  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:3 (1984), 61–73 67
2025
122. A. I. Avetisyan, A. I. Aptekarev, S. I. Bezrodnykh, V. B. Betelin, M. A. Guzev, L. M. Zelenyi, N. N. Kolachevsky, N. N. Kudryavtsev, S. A. Nikitov, G. I. Savin, E. E. Tyrtyshnikov, V. Yu. Khomich, S. L. Chernyshev, B. N. Chetverushkin, A. A. Shananin, Yu. V. Vassilevski, V. A. Gushchin, I. B. Petrov, V. F. Tishkin, M. V. Iakobovski, A. V. Babakov, V. I. Golubev, V. A. Zernov, A. I. Lobanov, I. S. Nikitin, S. S. Simakov, Yu. D. Shevelev, A. V. Favorskaya, S. V. Fortova, N. I. Khokhlov, M. S. Belotserkovska, “Academician Oleg Mikhailovich Belotserkovskii (on his 100th birthday)”, Mat. Model., 37:6 (2025),  194–196  mathnet
2024
123. A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187  mathnet; Russian Math. Surveys, 79:4 (2024), 739–745  isi
2022
124. I. B. Petrov, “The life and scientific career of Academician O.M. Belotserkovskii”, Computer Research and Modeling, 14:4 (2022),  697–700  mathnet 1
125. I. B. Petrov, “Editor’s note”, Computer Research and Modeling, 14:4 (2022),  695–696  mathnet
2018
126. B. N. Chetverushkin, E. E. Tyrtyshnikov, N. N. Kudryavtsev, V. P. Dymnikov, Yu. I. Zhuravlev, E. E. Son, K. V. Rudakov, Yu. G. Evtushenko, A. B. Zhizhchenko, Yu. V. Gulyaev, A. S. Bugaev, A. N. Konovalov, V. P. Maslov, V. M. Berdyshev, A. L. Semenov, E. I. Moiseev, I. B. Petrov, Yu. A. Flerov, I. G. Pospelov, S. I. Kabanikhin, M. V. Iakobovski, V. F. Tishkin, Yu. V. Vassilevski, A. A. Shananin, V. A. Gushchin, I. S. Nikitin, A. I. Lobanov, V. V. Demchenko, E. L. Stupitsky, V. L. Yakushev, A. V. Babakov, Yu. D. Shevelev, S. A. Ishanov, V. S. Ryaben'kii, “In memory of Aleksandr Sergeevich Kholodov”, Mat. Model., 30:1 (2018),  135–136  mathnet
2017
127. I. B. Petrov, B. N. Chetverushkin, Vl. V. Voevodin, V. A. Gushchin, K. V. Rudakov, A. I. Tolstykh, A. A. Shananin, A. I. Lobanov, G. Yu. Riznichenko, A. V. Borisov, A. V. Koganov, V. I. Kosarev, S. A. Ishanov, I. S. Nikitin, V. B. Pirogov, A. A. Polezhaev, G. A. Tirskii, I. G. Tormasov, S. S. Simakov, E. L. Stupitsky, P. S. Utkin, Ya. A. Kholodov, V. L. Yakushev, “In memory of A. S. Kholodov”, Computer Research and Modeling, 9:5 (2017),  677–678  mathnet
2016
128. B. N. Chetverushkin, V. B. Betelin, A. S. Kholodov, V. A. Gushchin, S. L. Chernyshev, I. B. Petrov, A. I. Tolstykh, L. I. Turchak, A. V. Babakov, V. L. Yakushev, O. V. Troshkin, “In memory of O. M. Belotserkovskii”, Mat. Model., 28:2 (2016),  3–5  mathnet  elib
129. A. V. Babakov, V. B. Betelin, V. A. Gushchin, N. S. Vishnyakov, M. K. Kerimov, I. B. Petrov, A. I. Tolstykh, O. V. Troshkin, L. I. Turchak, A. S. Kholodov, S. L. Chernyshov, B. N. Chetverushkin, V. L. Yakushev, “In memory of Academician of the RAS Oleg Mikhailovich Belotserkovskii”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  921–926  mathnet  elib; Comput. Math. Math. Phys., 56:6 (2016), 911–915  isi
2010
130. È. L. Akim, O. M. Belotserkovskiĭ, K. V. Brushlinskiĭ, S. K. Godunov, V. F. Dyachenko, V. T. Zhukov, M. K. Kerimov, A. I. Lobanov, M. V. Maslennikov, I. B. Petrov, Yu. P. Popov, G. P. Prokopov, V. S. Ryaben'kiĭ, L. G. Strakhovskaya, A. S. Kholodov, B. N. Chetverushkin, T. M. Eneev, “In memory of Radiĭ Petrovich Fedorenko (1930–2010)”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1532–1536  mathnet  mathscinet; Comput. Math. Math. Phys., 50:8 (2010), 1459–1463  isi

Presentations in Math-Net.Ru
1. Возможности применения методов численного моделирования природных и индустриальных процессов на примере задач Арктического региона
I. B. Petrov
Main scientific seminar of the Innopolis University «Innopolis. Science»
September 25, 2025 12:40   
2. Современные численные методы для решения прикладных задач
I. B. Petrov
Main scientific seminar of the Innopolis University «Innopolis. Science»
June 3, 2024 10:00   
3. Компьютерное моделирование динамических процессов в сложных средах
Igor Petrov
Main scientific seminar of the Innopolis University «Innopolis. Science»
January 18, 2024 10:00   
4. Numerical solutions of the industrial arctic problems
I. B. Petrov
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 6, 2023 11:25   
5. Моделирование распространения волновых возмущений в гетерогенных средах сеточно-характеристическим методом. Часть II. Численное моделирование распространения волновых возмущений в твёрдых гетерогенных средах сложной геометрии сеточно-характеристическим методом
I. B. Petrov, A. V. Vasyukov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
April 21, 2023 18:30
6. Моделирование распространения волновых возмущений в гетерогенных средах сеточно-характеристическим методом. Часть I
I. B. Petrov, N. I. Khokhlov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
March 31, 2023 18:30
7. Using 2D/3D Convolutional Neural Networks and Direct Numerical Modeling for Transcranial Ultrasound Problems
I. B. Petrov
Scientific seminar on the differential and functional differential equations
October 20, 2022 15:00   
8. Вычислительные задачи Арктического региона России
I. B. Petrov
The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling"
June 28, 2022 15:20   
9. Computational problems of modeling natural and industrial processes in the Arctic zone of the Russian Federation
I. B. Petrov
Actual Problems of Applied Mathematics
April 24, 2020   
10. Воздействие льда и воды на оффшорные структуры и прибрежные зоны в Арктике
I. B. Petrov
General Meeting of the Branch of Mathematical Sciences, RAS, 2014
December 15, 2014 14:00   
11. Проблемы суперкомпьютерного моделирования сложных динамических процессов в сплошных средах
I. B. Petrov
Mathematical Seminar
March 25, 2014 17:00   
12. Компьютерные модели динамических процессов в гетерогенных сплошных средах
I. B. Petrov
General Meeting of the Branch of Mathematical Sciences, RAS
May 21, 2012 12:40   

Organisations