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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
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 |
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2023 |
2. |
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 ; Dokl. Math., 108:3 (2023), 466–471 |
1
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3. |
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 ; Dokl. Math., 108:1 (2023), 291–296 |
4. |
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 |
5. |
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 |
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2022 |
6. |
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 ; Computer Research and Modeling, 14:4 (2022), e899–e910 |
11
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7. |
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 |
8. |
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 ; Dokl. Math., 106:3 (2022), 449–453 |
3
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9. |
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 ; Dokl. Math., 106:2 (2022), 356–360 |
3
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10. |
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 ; Dokl. Math., 106:1 (2022), 303 |
11. |
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 ; Dokl. Math., 105:3 (2022), 207–211 |
1
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12. |
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 |
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2021 |
13. |
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 ; Dokl. Math., 501:3 (2021), 374–379 |
3
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14. |
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 ; Dokl. Math., 104:2 (2021), 254–257 |
1
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15. |
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 ; Dokl. Math., 103:3 (2021), 146–150 |
10
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16. |
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 ; J. Appl. Mech. Tech. Phys., 62:2 (2021), 344–350 |
3
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17. |
Igor B. Petrov, “Simulation of dynamic processes in deformable medium with the grid-characteristic approach”, Russian Journal of Cybernetics, 2:2 (2021), 74–81 |
18. |
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 ; Comput. Math. Math. Phys., 61:8 (2021), 1339–1352 |
2
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2020 |
19. |
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 |
20. |
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 |
1
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21. |
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 ; Dokl. Math., 102:3 (2020), 483–486 |
3
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22. |
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 ; Dokl. Math., 101:3 (2020), 250–253 |
5
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23. |
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 ; Dokl. Math., 101:2 (2020), 169–171 |
4
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24. |
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. |
25. |
A. V. Vasyukov, M. A. Elovenkova, I. B. Petrov, “Modeling of thin fiber deformation and destruction under dynamic load”, Matem. Mod., 32:5 (2020), 95–102 ; Math. Models Comput. Simul., 13:1 (2021), 60–65 |
3
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26. |
A. V. Favorskaya, I. B. Petrov, “Grid-characteristic calculation of multistorey buildings destruction”, Matem. Mod., 32:3 (2020), 102–114 ; Math. Models Comput. Simul., 12:6 (2020), 897–906 |
27. |
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 ; Num. Anal. Appl., 13:3 (2020), 271–281 |
3
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28. |
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 |
29. |
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 ; Comput. Math. Math. Phys., 60:9 (2020), 1539–1554 |
14
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2019 |
30. |
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 |
6
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31. |
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 |
2
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32. |
I. B. Petrov, M. V. Muratov, “The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article)”, Matem. Mod., 31:4 (2019), 33–56 ; Math. Models Comput. Simul., 11:6 (2019), 924–939 |
19
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33. |
K. A. Beklemysheva, A. V. Vasyukov, V. I. Golubev, I. B. Petrov, “Numerical modeling of seismic influence on underwater composite oil pipeline”, Matem. Mod., 31:1 (2019), 103–113 ; Math. Models Comput. Simul., 11:5 (2019), 715–721 |
5
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34. |
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 |
5
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2018 |
35. |
A. V. Favorskaya, I. B. Petrov, “The use of full-wave numerical simulation for the investigation of fractured zones”, Matem. Mod., 30:11 (2018), 105–126 ; Math. Models Comput. Simul., 11:4 (2019), 518–530 |
16
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36. |
K. A. Beklemysheva, I. B. Petrov, “Numerical modeling of low-velocity impact on hybrid composite”, Matem. Mod., 30:11 (2018), 27–43 ; Math. Models Comput. Simul., 11:3 (2019), 469–478 |
8
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37. |
V. A. Miryaha, I. B. Petrov, “Discontinuous Galerkin method for simulation of ice flow impact on vertical cylinder offshore structure”, Matem. Mod., 30:9 (2018), 111–134 ; Math. Models Comput. Simul., 11:3 (2019), 400–414 |
7
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38. |
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”, Matem. Mod., 30:8 (2018), 107–115 |
2
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39. |
I. B. Petrov, “Problems of simulation of natural and anthropogenous processes in the Arctic zone of the Russian Federation”, Matem. Mod., 30:7 (2018), 103–136 ; Math. Models Comput. Simul., 11:2 (2019), 226–246 |
7
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40. |
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”, Matem. Mod., 30:7 (2018), 61–78 ; Math. Models Comput. Simul., 11:2 (2019), 198–208 |
7
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41. |
A. V. Favorskaya, I. B. Petrov, “Numerical modeling of wave processes in the rocks by grid-characteristic method”, Matem. Mod., 30:3 (2018), 37–51 ; Math. Models Comput. Simul., 10:5 (2018), 639–647 |
10
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42. |
V. A. Miryaha, A. V. Sannikov, V. A. Biryukov, I. B. Petrov, “Discontinuous Galerkin method for ice strength investigation”, Matem. Mod., 30:2 (2018), 110–118 ; Math. Models Comput. Simul., 10:5 (2018), 609–615 |
4
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43. |
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 ; Comput. Math. Math. Phys., 58:8 (2018), 1309–1315 |
2
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44. |
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 ; Comput. Math. Math. Phys., 58:8 (2018), 1259–1269 |
5
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2017 |
45. |
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 |
2
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46. |
D. P. Grigorievih, N. I. Khokhlov, I. B. Petrov, “Calculation of dynamic destruction in deformable bodies”, Matem. Mod., 29:4 (2017), 45–58 |
4
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47. |
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 ; J. Appl. Mech. Tech. Phys., 58:3 (2017), 539–545 |
8
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48. |
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 ; Comput. Math. Math. Phys., 57:11 (2017), 1771–1777 |
25
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2016 |
49. |
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 |
1
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50. |
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”, Matem. Mod., 28:8 (2016), 33–45 ; Math. Models Comput. Simul., 9:2 (2017), 133–141 |
3
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51. |
M. V. Muratov, I. B. Petrov, I. E. Kvasov, “Numerical solution of exploration seismology problems in areas of fractures reservoirs”, Matem. Mod., 28:7 (2016), 31–44 |
3
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52. |
V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Compact grid-characteristic schemes of higher orders for 3D linear transport equation”, Matem. Mod., 28:2 (2016), 123–132 ; Math. Models Comput. Simul., 8:5 (2016), 577–584 |
27
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53. |
K. A. Beklemysheva, A. V. Vasyukov, A. S. Ermakov, I. B. Petrov, “Numerical modeling of composite materials failure using grid-characteristic method”, Matem. Mod., 28:2 (2016), 97–110 ; Math. Models Comput. Simul., 8:5 (2016), 557–567 |
19
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54. |
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 ; Num. Anal. Appl., 9:2 (2016), 171–178 |
16
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55. |
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 ; Comput. Math. Math. Phys., 56:9 (2016), 1620–1630 |
8
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56. |
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 ; Comput. Math. Math. Phys., 56:6 (2016), 1128–1141 |
7
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57. |
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 ; Comput. Math. Math. Phys., 56:6 (2016), 1086–1095 |
31
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2015 |
58. |
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 |
2
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59. |
A. V. Favorskaya, I. B. Petrov, V. I. Golubev, N. I. Khokhlov, “Numerical simulation of earthquakes' impact on facilities by grid-characteristic method”, Matem. Mod., 27:12 (2015), 109–120 |
4
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60. |
A. V. Favorskaya, I. B. Petrov, D. I. Petrov, N. I. Khokhlov, “Numerical modeling of wave processes in layered media in the Arctic”, Matem. Mod., 27:11 (2015), 63–75 ; Math. Models Comput. Simul., 8:4 (2016), 348–357 |
5
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61. |
V. A. Miryaha, A. V. Sannikov, I. B. Petrov, “Discontinuous Galerkin method for numerical simulation of dynamic processes in solids”, Matem. Mod., 27:3 (2015), 96–108 ; Math. Models Comput. Simul., 7:5 (2015), 446–455 |
20
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62. |
V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Simulation of seismic processes inside the planet using hybrid grid-characteristic method”, Matem. Mod., 27:2 (2015), 139–148 ; Math. Models Comput. Simul., 7:5 (2015), 439–445 |
7
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63. |
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 ; Comput. Math. Math. Phys., 55:10 (2015), 1733–1742 |
8
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64. |
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 ; Comput. Math. Math. Phys., 55:8 (2015), 1346–1355 |
7
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65. |
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 ; Comput. Math. Math. Phys., 55:3 (2015), 509–518 |
18
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2014 |
66. |
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”, Matem. Mod., 26:9 (2014), 96–110 |
3
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67. |
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”, Matem. Mod., 26:7 (2014), 19–32 ; Math. Models Comput. Simul., 7:1 (2015), 51–61 |
22
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68. |
I. B. Petrov, N. I. Khokhlov, “Modeling of 3D seismic problems using high-performance computing”, Matem. Mod., 26:1 (2014), 83–95 ; Math. Models Comput. Simul., 6:4 (2014), 342–350 |
15
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69. |
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 ; Comput. Math. Math. Phys., 54:7 (2014), 1176–1189 |
9
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70. |
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 ; Comput. Math. Math. Phys., 54:5 (2014), 837–847 |
16
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2013 |
71. |
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 |
2
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72. |
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”, Matem. Mod., 25:11 (2013), 3–16 ; Math. Models Comput. Simul., 6:3 (2014), 294–304 |
18
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73. |
M. V. Muratov, I. B. Petrov, “Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method”, Matem. Mod., 25:3 (2013), 89–104 ; Math. Models Comput. Simul., 5:5 (2013), 479–491 |
16
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74. |
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”, Matem. Mod., 25:2 (2013), 42–52 ; Math. Models Comput. Simul., 5:5 (2013), 409–415 |
41
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75. |
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 ; Comput. Math. Math. Phys., 53:10 (2013), 1523–1533 |
34
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2012 |
76. |
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 ; Comput. Math. Math. Phys., 52:2 (2012), 302–313 |
25
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2011 |
77. |
I. E. Kvasov, I. B. Petrov, “Numerical study of anisotropy of wave responses from fractured reservoir by grid-characteristic method”, Matem. Mod., 23:10 (2011), 97–106 ; Math. Models Comput. Simul., 4:3 (2012), 336–343 |
3
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78. |
V. I. Golubev, I. E. Kvasov, I. B. Petrov, “Influence of natural disasters on ground facilities”, Matem. Mod., 23:8 (2011), 46–54 ; Math. Models Comput. Simul., 4:2 (2012), 129–134 |
13
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2010 |
79. |
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”, Matem. Mod., 22:11 (2010), 109–122 ; Math. Models Comput. Simul., 3:3 (2011), 399–409 |
5
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80. |
I. E. Kvasov, S. A. Pankratov, I. B. Petrov, “Computational modeling of seysmoresponse in multilayered geologic medium by grid-characteristic method”, Matem. Mod., 22:9 (2010), 13–22 ; Math. Models Comput. Simul., 3:2 (2011), 196–204 |
22
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2009 |
81. |
A. P. Potapov, S. I. Royz, I. B. Petrov, “Modeling of wave processes with smoothed particle hydrodynamics method”, Matem. Mod., 21:7 (2009), 20–28 |
5
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82. |
I. E. Kvasov, I. B. Petrov, F. B. Chelnokov, “Computation of wave processes in nonuniform 3D constructions”, Matem. Mod., 21:5 (2009), 3–9 |
11
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83. |
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 ; Comput. Math. Math. Phys., 49:9 (2009), 1615–1621 |
3
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2007 |
84. |
N. S. Matsievsky, I. B. Petrov, F. B. Chelnokov, “Numerical research of dynamic behavior of complicated constructions in impacts on rectangle and triangle grids”, Matem. Mod., 19:9 (2007), 105–113 |
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2006 |
85. |
I. B. Petrov, “Simulation of deformation processes in complex construction under dynamic intensitive loadings”, Matem. Mod., 18:5 (2006), 91–110 |
2
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86. |
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 ; Comput. Math. Math. Phys., 46:9 (2006), 1629–1638 |
19
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2005 |
87. |
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 |
88. |
I. B. Petrov, “Расчет динамических процессов в сооружениях при падении самолетов”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2005, no. 1, 130–139 |
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2003 |
89. |
I. B. Petrov, “О численном моделировании биомеханических процессов в медицинской практике”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2003, no. 1-2, 102–111 |
90. |
N. N. Balanovskii, A. V. Bubnov, A. S. Obukhov, I. B. Petrov, “Computation of dynamical processes in eye during laser cataract extraction”, Matem. Mod., 15:11 (2003), 37–44 |
2
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91. |
I. B. Petrov, F. B. Chelnokov, V. V. Chibrikov, “Computational investigation of wave processes in perforated deformable media”, Matem. Mod., 15:10 (2003), 89–94 |
2
|
92. |
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 ; Comput. Math. Math. Phys., 43:10 (2003), 1503–1519 |
19
|
|
2002 |
93. |
A. I. Lobanov, R. A. Pashkov, I. B. Petrov, A. A. Polezhaev, “Spatial patterns formed by chemotactic bacteria Escherichia coli”, Matem. Mod., 14:10 (2002), 17–26 |
1
|
|
2000 |
94. |
I. B. Petrov, A. A. Polezhaev, A. C. Shestakov, “Wave processes in nonlinear active media”, Matem. Mod., 12:1 (2000), 38–44 |
3
|
|
1999 |
95. |
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”, Matem. Mod., 11:7 (1999), 118–127 |
8
|
96. |
Yu. V. Blazhevich, V. D. Ivanov, I. B. Petrov, I. V. Petviashvili, “High impact modeling with smooth particle hydrodynamics”, Matem. Mod., 11:1 (1999), 88–100 |
8
|
|
1993 |
97. |
A. I. Lobanov, I. B. Petrov, “Simultaneous numerical solution of the compressed plasma effects and railgun electrodes problems”, Matem. Mod., 5:10 (1993), 48–56 |
2
|
|
1992 |
98. |
I. B. Petrov, I. G. Tormasov, “Numerical investigation of oblique collision of hard sphere with two-layer elastic-plastic slab”, Matem. Mod., 4:3 (1992), 20–27 |
3
|
|
1990 |
99. |
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 |
2
|
100. |
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”, Matem. Mod., 2:11 (1990), 10–29 |
30
|
101. |
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”, Matem. Mod., 2:8 (1990), 51–59 |
1
|
102. |
I. B. Petrov, I. G. Tormasov, “About numerical solution of the three-dimensional shock problems”, Matem. Mod., 2:2 (1990), 58–72 |
1
|
103. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 191–196 |
23
|
|
1989 |
104. |
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 |
3
|
105. |
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”, Matem. Mod., 1:7 (1989), 1–12 |
5
|
|
1987 |
106. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 181–188 |
4
|
|
1985 |
107. |
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 |
3
|
|
1984 |
108. |
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 ; J. Appl. Mech. Tech. Phys., 25:4 (1984), 625–632 |
3
|
109. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 128–138 |
39
|
110. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 24:3 (1984), 61–73 |
66
|
|
|
|
2024 |
111. |
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. Iakobovski, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024), 181–187 |
|
2022 |
112. |
I. B. Petrov, “The life and scientific career of Academician O.M. Belotserkovskii”, Computer Research and Modeling, 14:4 (2022), 697–700 |
1
|
113. |
I. B. Petrov, “Editor’s note”, Computer Research and Modeling, 14:4 (2022), 695–696 |
|
2018 |
114. |
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”, Matem. Mod., 30:1 (2018), 135–136 |
|
2017 |
115. |
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 |
|
2016 |
116. |
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”, Matem. Mod., 28:2 (2016), 3–5 |
117. |
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 ; Comput. Math. Math. Phys., 56:6 (2016), 911–915 |
|
2010 |
118. |
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 ; Comput. Math. Math. Phys., 50:8 (2010), 1459–1463 |
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Presentations in Math-Net.Ru |
1. |
Современные численные методы для решения прикладных задач I. B. Petrov
Main scientific seminar of the Innopolis University «Innopolis. Science» June 3, 2024 10:00
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2. |
Компьютерное моделирование динамических процессов в сложных средах Igor Petrov
Main scientific seminar of the Innopolis University «Innopolis. Science» January 18, 2024 10:00
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3. |
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
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4. |
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
|
5. |
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
|
6. |
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
|
7. |
Вычислительные задачи Арктического региона России I. B. Petrov
The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling" June 28, 2022 15:20
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8. |
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
|
9. |
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
|
10. |
Проблемы суперкомпьютерного моделирования сложных динамических процессов в сплошных средах I. B. Petrov
Mathematical Seminar March 25, 2014 17:00
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11. |
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
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