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Petrov, Igor Borisovich

Statistics Math-Net.Ru
Total publications: 76
Scientific articles: 71
Presentations: 3

Number of views:
This page:3967
Abstract pages:20388
Full texts:6178
References:1867
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person26475
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/198418

Publications in Math-Net.Ru
2019
1. 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  mathnet  elib
2. 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  mathnet  elib
2018
3. 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  mathnet
4. K. A. Beklemysheva, I. B. Petrov, “Numerical modeling of low-velocity impact on hybrid composite”, Matem. Mod., 30:11 (2018),  27–43  mathnet
5. 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  mathnet
6. 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  mathnet
7. 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  mathnet
8. 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  mathnet
9. 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  mathnet  elib
10. 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  mathnet  elib
11. 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
12. 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
2017
13. 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
14. D. P. Grigorievih, N. I. Khokhlov, I. B. Petrov, “Calculation of dynamic destruction in deformable bodies”, Matem. Mod., 29:4 (2017),  45–58  mathnet  elib
15. 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
2016
16. 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
17. 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  mathnet  elib; Math. Models Comput. Simul., 9:2 (2017), 133–141  scopus
18. 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  mathnet  elib
19. 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  mathnet  elib; Math. Models Comput. Simul., 8:5 (2016), 577–584  scopus
20. 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  mathnet  elib; Math. Models Comput. Simul., 8:5 (2016), 557–567  scopus
21. 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
22. 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
23. 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
24. 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
2015
25. 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
26. 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  mathnet  elib
27. 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  mathnet  elib; Math. Models Comput. Simul., 8:4 (2016), 348–357
28. 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  mathnet  elib; Math. Models Comput. Simul., 7:5 (2015), 446–455  scopus
29. 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  mathnet  elib; Math. Models Comput. Simul., 7:5 (2015), 439–445  scopus
30. 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
31. 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
32. 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
2014
33. 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  mathnet
34. 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  mathnet; Math. Models Comput. Simul., 7:1 (2015), 51–61  scopus
35. I. B. Petrov, N. I. Khokhlov, “Modeling of 3D seismic problems using high-performance computing”, Matem. Mod., 26:1 (2014),  83–95  mathnet; Math. Models Comput. Simul., 6:4 (2014), 342–350  scopus
36. 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
37. 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
2013
38. 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
39. 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  mathnet; Math. Models Comput. Simul., 6:3 (2014), 294–304  scopus
40. 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  mathnet  mathscinet; Math. Models Comput. Simul., 5:5 (2013), 479–491  scopus
41. 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  mathnet; Math. Models Comput. Simul., 5:5 (2013), 409–415  scopus
42. 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
2012
43. 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
2011
44. 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  mathnet; Math. Models Comput. Simul., 4:3 (2012), 336–343  scopus
45. V. I. Golubev, I. E. Kvasov, I. B. Petrov, “Influence of natural disasters on ground facilities”, Matem. Mod., 23:8 (2011),  46–54  mathnet; Math. Models Comput. Simul., 4:2 (2012), 129–134  scopus
2010
46. 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  mathnet; Math. Models Comput. Simul., 3:3 (2011), 399–409  scopus
47. 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  mathnet; Math. Models Comput. Simul., 3:2 (2011), 196–204  scopus
2009
48. 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  mathnet  zmath
49. I. E. Kvasov, I. B. Petrov, F. B. Chelnokov, “Computation of wave processes in nonuniform 3D constructions”, Matem. Mod., 21:5 (2009),  3–9  mathnet  zmath
50. 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
2007
51. 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  mathnet  mathscinet  zmath
2006
52. I. B. Petrov, “Simulation of deformation processes in complex construction under dynamic intensitive loadings”, Matem. Mod., 18:5 (2006),  91–110  mathnet  zmath
53. 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
2003
54. 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  mathnet  zmath
55. 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  mathnet  zmath
56. 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
2002
57. 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  mathnet  mathscinet  zmath
2000
58. I. B. Petrov, A. A. Polezhaev, A. C. Shestakov, “Wave processes in nonlinear active media”, Matem. Mod., 12:1 (2000),  38–44  mathnet  mathscinet  zmath
1999
59. 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  mathnet
60. 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  mathnet  mathscinet  zmath
1993
61. 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  mathnet  zmath
1992
62. 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  mathnet
1990
63. 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  mathnet  mathscinet  zmath
64. 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  mathnet  zmath
65. I. B. Petrov, I. G. Tormasov, “About numerical solution of the three-dimensional shock problems”, Matem. Mod., 2:2 (1990),  58–72  mathnet  mathscinet  zmath
66. 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
1989
67. 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  mathnet  zmath
1987
68. 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
1985
69. 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
1984
70. 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
71. 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

2018
72. 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  mathnet
2017
73. 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
74. 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  mathnet  elib
75. 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
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Presentations in Math-Net.Ru
1. 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   
2. Проблемы суперкомпьютерного моделирования сложных динамических процессов в сплошных средах
I. B. Petrov
Mathematical Seminar
March 25, 2014 17:00   
3. 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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