Edit Profile (opens in new tab) Petrov, Igor’ Borisovich Compute Distance To: Compute Author ID: petrov.igor-borisovich Published as: Petrov, I. B.; Petrov, Igor B.; Petrov, Igor’ Borisovich Documents Indexed: 107 Publications since 1979 1 Contribution as Editor Co-Authors: 82 Co-Authors with 99 Joint Publications 556 Co-Co-Authors all top 5 Co-Authors 6 single-authored 23 Favorskaya, Alena V. 13 Beklemysheva, Katerina A. 12 Golubev, Vasily I. 12 Vasyukov, Aleksey V. 11 Muratov, M. V. 10 Kholodov, Aleksandr Sergeevich 7 Biryukov, Vova A. 7 Kvasov, I. E. 7 Sannikov, Alexander V. 7 Stognii, Polina V. 6 Miryaha, Vladislav A. 5 Ermakov, A. S. 5 Petrov, Dmitriy I. 4 Kazakov, Alexander O. 4 Tormasov, A. G. 4 Vassilevski, Yuri V. 3 Chelnokov, F. B. 3 Grigoriev, Georgiy K. 3 Kulberg, Nikolay S. 3 Potapov, Anton P. 2 Babakov, A. V. 2 Betelin, V. B. 2 Chernyshov, S. L. 2 Chetverushkin, Boris Nikolaevich 2 Gushchin, Valentin Anatol’evich 2 Ivanov, V. D. 2 Kondaurov, Vladimir Ignatevich 2 Kulinich, Grygoriĭ L. 2 Lobanov, Alekseĭ Ivanovich 2 Polezhaev, A. A. 2 Salamatova, Victoria Yu. 2 Shevchenko, A. V. 2 Shevtsov, A. V. 2 Tolstykh, Andrei I. 2 Troshkin, Oleg V. 2 Turchak, L. I. 2 Yakushev, V. L. 1 Astanin, A. V. 1 Balanovsky, N. N. 1 Blazhevich, Yu. V. 1 Bubnov, A. V. 1 Danilov, Alexander A. 1 Dashkevich, A. D. 1 Dziuba, A. S. 1 Elovenkova, M. A. 1 Gasilov, Vladimir A. 1 Genov, Angel 1 Golovan, V. I. 1 Grigorievih, D. P. 1 Grushin, A. S. 1 Guseva, E. K. 1 Kabisov, S. V. 1 Kerimov, Movlud Kerimovich 1 Khokhlov, Nikolai I. 1 Khokhlov, Nikolay I. 1 Korotin, D. N. 1 Korotin, P. N. 1 Kozhemyachenko, A. A. 1 Krasnov, I. E. 1 Leviant, V. B. 1 Matsievsky, N. S. 1 Matyushev, N. G. 1 Miryakha, V. A. 1 Nikitin, Ilia S. 1 Obukhov, A. S. 1 Ol’khovskaya, O. G. 1 Ostrik, Afanasiĭ Viktorovich 1 Pankratov, S. A. 1 Pashkov, R. A. 1 Petrov, Mikhail N. 1 Petrovskij, V. P. 1 Petrukhin, V. Yu. 1 Petviashvili, I. V. 1 Pirogov, V. B. 1 Royz, S. I. 1 Sannikov, I. V. 1 Sergeev, F. I. 1 Shestakov, A. S. 1 Shul’ts, K. I. 1 Utyuzhnikov, Sergey V. 1 Vishnyakov, N. S. 1 Voinov, O. Ya. 1 Voroshchuk, Denis N. all top 5 Serials 41 Matematicheskoe Modelirovanie 13 Doklady Mathematics 12 Computational Mathematics and Mathematical Physics 10 Lobachevskii Journal of Mathematics 8 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 7 Russian Journal of Numerical Analysis and Mathematical Modelling 4 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Soviet Physics. Doklady 2 Theory of Probability and Mathematical Statistics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Chebyshevskiĭ Sbornik 1 Smart Innovation, Systems and Technologies 1 Mechanics of Solids all top 5 Fields 61 Mechanics of deformable solids (74-XX) 50 Numerical analysis (65-XX) 46 Geophysics (86-XX) 13 Partial differential equations (35-XX) 12 Fluid mechanics (76-XX) 8 Biology and other natural sciences (92-XX) 5 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 216 times in 80 Documents Cited by ▼ Year ▼ Regularization of discontinuous numerical solutions of equations of hyperbolic type. Zbl 0577.65079Petrov, I. B.; Kholodov, A. S. 16 1984 Numerical study of some dynamic problems of the mechanics of a deformable rigid body by the mesh-characteristic method. Zbl 0566.73068Petrov, I. B.; Kholodov, A. S. 13 1984 Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step. Zbl 1457.86003Petrov, I. B.; Favorskaya, A. V.; Sannikov, A. V.; Kvasov, I. E. 13 2013 Numerical analysis of wave processes and fracture in layered targets. Zbl 1136.74333Petrov, I. B.; Chelnokov, F. B. 11 2003 Calculation of dynamic deformation and fracture of elasto-plastic bodies by grid-characteristic methods. Zbl 0972.74515Ivanov, V. D.; Kondaurov, V. I.; Petrov, I. B.; Kholodov, A. S. 9 1990 Numerical investigation of some dynamical problems of mechanics of a deformable rigid body by the net-characteristic method. Zbl 0551.73080Petrov, I. B.; Kholodov, A. S. 8 1984 High-performance computer simulation of wave processes in geological media in seismic exploration. Zbl 1249.86040Kvasov, I. E.; Petrov, I. B. 8 2012 Numerical simulation of seismic activity by the grid-characteristic method. Zbl 1299.86016Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I. 7 2013 Virtual blunt injury of human thorax: age-dependent response of vascular system. Zbl 1327.74104Beklemysheva, Katerina A.; Danilov, Alexander A.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vassilevski, Yuri V.; Vasyukov, Alexey V. 7 2015 On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid. Zbl 0737.73095Petrov, I. B.; Tormasov, A. G.; Kholodov, A. S. 6 1990 Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves. Zbl 1406.86017Petrov, I. B.; Favorskaya, A. V.; Khokhlov, N. I. 6 2017 Numerical simulation of wave propagation in anisotropic media. Zbl 1395.74048Petrov, I. B.; Favorskaya, A. V.; Vasyukov, A. V.; Ermakov, A. S.; Beklemysheva, K. A.; Kazakov, A. O.; Novikov, A. V. 6 2014 Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes. Zbl 1426.74169Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I.; Shul’ts, K. I. 6 2015 Simulation of elastic wave propagation in geological media: intercomparison of three numerical methods. Zbl 1381.86001Biryukov, Vova A.; Miryakha, V. A.; Petrov, I. B.; Khokhlov, N. I. 5 2016 Computation of wave processes in non-uniform 3D constructions. Zbl 1177.74099Kvasov, I. E.; Petrov, I. B.; Chelnokov, F. B. 5 2009 Spatial patterns formed by chemotactic bacteria {Escherichia coli}. Zbl 1011.92009Lobanov, A. I.; Pashkov, R. A.; Petrov, I. B.; Polezhaev, A. A. 5 2002 A study of high-order grid-characteristic methods on unstructured grids. Zbl 1349.65405Favorskaya, A. V.; Petrov, I. B. 5 2016 Influence of natural disasters on ground facilities. Zbl 1265.74046Golubev, V. I.; Kvasov, I. E.; Petrov, I. B. 4 2011 Innovations in wave processes modelling and decision making. Grid-characteristic method and applications. Zbl 1477.65009 4 2018 Grid-characteristic method on unstructured tetrahedral meshes. Zbl 1313.86016Muratov, M. V.; Petrov, I. B.; Sannikov, I. V.; Favorskaya, A. V. 4 2014 Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method. Zbl 1357.65249Muratov, M. V.; Petrov, I. B. 4 2013 Mathematical simulation of deformation and wave processes in multilayered structures. Zbl 1177.74114Matyushev, N. G.; Petrov, I. B. 3 2009 Numerical modeling of wave processes in the rocks by grid-characteristic method. Zbl 1413.74077Favorskaya, A. V.; Petrov, I. B. 3 2018 Numerical solution of exploration seismology problems in areas of fractures reservoirs. Zbl 1363.86006Muratov, M. V.; Petrov, I. B.; Kvasov, I. E. 3 2016 Numerical modeling of low energy strike at composite stringer panel. Zbl 1324.74015Petrov, I. B.; Vasyukov, A. V.; Beklemysheva, K. A.; Ermakov, A. S.; Dziuba, A. S.; Golovan, V. I. 3 2014 Discontinuous Galerkin method for numerical simulation of dynamic processes in solids. Zbl 1340.74100Miryaha, V. A.; Sannikov, A. V.; Petrov, I. B. 3 2015 Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems. Zbl 1313.74034Vasyukov, A. V.; Ermakov, A. S.; Potapov, A. P.; Petrov, I. B.; Favorskaya, A. V.; Shevtsov, A. V. 3 2014 Compact grid-characteristic schemes of higher orders for 3D linear transport equation. Zbl 1363.80001Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I. 2 2016 Numerical solution of seismic exploration problems in the arctic region by applying the grid-characteristic method. Zbl 1381.86024Petrov, D. I.; Petrov, I. B.; Favorskaya, A. V.; Khokhlov, N. I. 2 2016 Modeling of wave processes with smoothed particle hydrodynamics method. Zbl 1195.76307Potapov, A. P.; Royz, S. I.; Petrov, I. B. 2 2009 Grid-characteristic numerical method for low-velocity impact testing of fiber-metal laminates. Zbl 1446.74077Beklemysheva, K. A.; Vasyukov, A. V.; Kazakov, A. O.; Petrov, I. B. 2 2018 Modeling of ultrasonic waves in fractured rails with an explicit approach. Zbl 1446.74015Favorskaya, A. V.; Kabisov, S. V.; Petrov, I. B. 2 2018 Numerical modelling of medical ultrasound: phantom-based verification. Zbl 1379.92028Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V. 2 2017 Transcranial ultrasound of cerebral vessels in silico: proof of concept. Zbl 1349.92090Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kazakov, Alexander O.; Kulberg, Nikolay S.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vasyukov, Aleksey V. 2 2016 The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article). Zbl 1443.74274Petrov, I. B.; Muratov, M. V. 2 2019 Grid-characteristic method on joint structured regular and curved grids for modeling coupled elastic and acoustic wave phenomena in objects of complex shape. Zbl 1451.65134Favorskaya, A. V.; Khokhlov, N. I.; Petrov, I. B. 2 2020 Computation of dynamic-deformation processes in elastoplastic solids with allowance for continual failure. Zbl 0637.73036Kondaurov, V. I.; Petrov, I. B. 2 1985 Grid-characteristic method on unstructured tetrahedral grids. Zbl 1395.74090Petrov, I. B.; Favorskaya, A. V.; Muratov, M. V.; Biryukov, V. A.; Sannikov, A. V. 2 2014 Simulation of seismic processes inside the planet using hybrid grid-characteristic method. Zbl 1340.86009Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I. 2 2015 Modeling of 3D seismic problems using high-performance computing. Zbl 1313.86017Petrov, I. B.; Khokhlov, N. I. 2 2014 Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers. Zbl 1336.86002Biryukov, V. A.; Muratov, M. V.; Petrov, I. B.; Sannikov, A. V.; Favorskaya, A. V. 2 2015 Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method. Zbl 1457.74072Beklemysheva, K. A.; Favorskaya, A. V.; Petrov, I. B. 2 2013 Numerical investigation of the three-dimensional compression wave flow over an obstacle or cavity in an elastoplastic half-space. Zbl 0736.73072Petrov, I. B.; Tormasov, A. G. 1 1990 Numerical modelling of the behaviour of elastic and elasto-plastic bodies in the presence of strong energy fluxes. Zbl 0969.74530Korotin, D. N.; Petrov, I. B.; Kholodov, A. S. 1 1989 Simultaneous solution of the problem on the action of a compressed plasma on the railgun electrodes. Zbl 0974.76616Lobanov, A. I.; Petrov, I. B. 1 1993 Discontinuous Galerkin method for ice strength investigation. Zbl 1413.65372Miryaha, V. A.; Sannikov, A. V.; Biryukov, V. A.; Petrov, I. B. 1 2018 Simulation of seismic processes in geological exploration of Arctic shelf. Zbl 1375.86002Stognii, Polina V.; Petrov, Dmitriy I.; Khokhlov, Nikolai I.; Petrov, Igor B. 1 2017 Taking into account fluid saturation of bottom sediments in marine seismic survey. Zbl 1441.86004Golubev, V. I.; Shevchenko, A. V.; Petrov, I. B. 1 2019 Numerical modeling of wave processes in multilayered media with gas-containing layers: comparison of 2D and 3D models. Zbl 1441.86005Stognii, P. V.; Khokhlov, N. I.; Petrov, I. B. 1 2019 Numerical modeling of ultrasound phased array for non-destructive testing of composites. Zbl 1464.74088Beklemysheva, K. A.; Kazakov, A. O.; Petrov, I. B. 1 2019 Mathematical modeling of spatial wave responses by grid-characteristic method on irregular computational meshes. Zbl 1453.86015Petrov, I. B.; Muratov, M. V. 1 2019 Numerical simulation of aberrated medical ultrasound signals. Zbl 1405.92132Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.; Vassilevski, Yuri V. 1 2018 Modelling of the destruction of polymers under high energy impact. Zbl 1413.82012Gasilov, V. A.; Grushin, A. S.; Ermakov, A. S.; Olkhovskaya, O. G.; Petrov, I. B. 1 2018 Computation of dynamical processes in eye during laser cataract extraction. Zbl 1044.92029Balanovsky, N. N.; Bubnov, A. V.; Obukhov, A. S.; Petrov, I. B. 1 2003 Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method. Zbl 1329.74188Beklemysheva, K. A.; Vasyukov, A. V.; Petrov, I. B. 1 2015 Numerical study of dynamic processes in a continuous medium with a crack initiated by a near-surface disturbance by means of the grid-characteristic method. Zbl 1224.65222Kvasov, I. E.; Pankratov, S. A.; Petrov, I. B. 1 2010 Discontinuous Galerkin method for wave propagation in elastic media with inhomogeneous inclusions. Zbl 1333.65114Voroshchuk, Denis N.; Miryaha, Vladislav A.; Petrov, Igor B.; Sannikov, Alexander V. 1 2016 Numerical simulation of earthquakes’ impact on facilities by grid-characteristic method. Zbl 1349.86045Favorskaya, A. V.; Petrov, I. B.; Golubev, V. I.; Khokhlov, N. I. 1 2015 Grid-characteristic method on joint structured regular and curved grids for modeling coupled elastic and acoustic wave phenomena in objects of complex shape. Zbl 1451.65134Favorskaya, A. V.; Khokhlov, N. I.; Petrov, I. B. 2 2020 The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article). Zbl 1443.74274Petrov, I. B.; Muratov, M. V. 2 2019 Taking into account fluid saturation of bottom sediments in marine seismic survey. Zbl 1441.86004Golubev, V. I.; Shevchenko, A. V.; Petrov, I. B. 1 2019 Numerical modeling of wave processes in multilayered media with gas-containing layers: comparison of 2D and 3D models. Zbl 1441.86005Stognii, P. V.; Khokhlov, N. I.; Petrov, I. B. 1 2019 Numerical modeling of ultrasound phased array for non-destructive testing of composites. Zbl 1464.74088Beklemysheva, K. A.; Kazakov, A. O.; Petrov, I. B. 1 2019 Mathematical modeling of spatial wave responses by grid-characteristic method on irregular computational meshes. Zbl 1453.86015Petrov, I. B.; Muratov, M. V. 1 2019 Innovations in wave processes modelling and decision making. Grid-characteristic method and applications. Zbl 1477.65009 4 2018 Numerical modeling of wave processes in the rocks by grid-characteristic method. Zbl 1413.74077Favorskaya, A. V.; Petrov, I. B. 3 2018 Grid-characteristic numerical method for low-velocity impact testing of fiber-metal laminates. Zbl 1446.74077Beklemysheva, K. A.; Vasyukov, A. V.; Kazakov, A. O.; Petrov, I. B. 2 2018 Modeling of ultrasonic waves in fractured rails with an explicit approach. Zbl 1446.74015Favorskaya, A. V.; Kabisov, S. V.; Petrov, I. B. 2 2018 Discontinuous Galerkin method for ice strength investigation. Zbl 1413.65372Miryaha, V. A.; Sannikov, A. V.; Biryukov, V. A.; Petrov, I. B. 1 2018 Numerical simulation of aberrated medical ultrasound signals. Zbl 1405.92132Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.; Vassilevski, Yuri V. 1 2018 Modelling of the destruction of polymers under high energy impact. Zbl 1413.82012Gasilov, V. A.; Grushin, A. S.; Ermakov, A. S.; Olkhovskaya, O. G.; Petrov, I. B. 1 2018 Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves. Zbl 1406.86017Petrov, I. B.; Favorskaya, A. V.; Khokhlov, N. I. 6 2017 Numerical modelling of medical ultrasound: phantom-based verification. Zbl 1379.92028Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V. 2 2017 Simulation of seismic processes in geological exploration of Arctic shelf. Zbl 1375.86002Stognii, Polina V.; Petrov, Dmitriy I.; Khokhlov, Nikolai I.; Petrov, Igor B. 1 2017 Simulation of elastic wave propagation in geological media: intercomparison of three numerical methods. Zbl 1381.86001Biryukov, Vova A.; Miryakha, V. A.; Petrov, I. B.; Khokhlov, N. I. 5 2016 A study of high-order grid-characteristic methods on unstructured grids. Zbl 1349.65405Favorskaya, A. V.; Petrov, I. B. 5 2016 Numerical solution of exploration seismology problems in areas of fractures reservoirs. Zbl 1363.86006Muratov, M. V.; Petrov, I. B.; Kvasov, I. E. 3 2016 Compact grid-characteristic schemes of higher orders for 3D linear transport equation. Zbl 1363.80001Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I. 2 2016 Numerical solution of seismic exploration problems in the arctic region by applying the grid-characteristic method. Zbl 1381.86024Petrov, D. I.; Petrov, I. B.; Favorskaya, A. V.; Khokhlov, N. I. 2 2016 Transcranial ultrasound of cerebral vessels in silico: proof of concept. Zbl 1349.92090Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kazakov, Alexander O.; Kulberg, Nikolay S.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vasyukov, Aleksey V. 2 2016 Discontinuous Galerkin method for wave propagation in elastic media with inhomogeneous inclusions. Zbl 1333.65114Voroshchuk, Denis N.; Miryaha, Vladislav A.; Petrov, Igor B.; Sannikov, Alexander V. 1 2016 Virtual blunt injury of human thorax: age-dependent response of vascular system. Zbl 1327.74104Beklemysheva, Katerina A.; Danilov, Alexander A.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vassilevski, Yuri V.; Vasyukov, Alexey V. 7 2015 Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes. Zbl 1426.74169Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I.; Shul’ts, K. I. 6 2015 Discontinuous Galerkin method for numerical simulation of dynamic processes in solids. Zbl 1340.74100Miryaha, V. A.; Sannikov, A. V.; Petrov, I. B. 3 2015 Simulation of seismic processes inside the planet using hybrid grid-characteristic method. Zbl 1340.86009Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I. 2 2015 Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers. Zbl 1336.86002Biryukov, V. A.; Muratov, M. V.; Petrov, I. B.; Sannikov, A. V.; Favorskaya, A. V. 2 2015 Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method. Zbl 1329.74188Beklemysheva, K. A.; Vasyukov, A. V.; Petrov, I. B. 1 2015 Numerical simulation of earthquakes’ impact on facilities by grid-characteristic method. Zbl 1349.86045Favorskaya, A. V.; Petrov, I. B.; Golubev, V. I.; Khokhlov, N. I. 1 2015 Numerical simulation of wave propagation in anisotropic media. Zbl 1395.74048Petrov, I. B.; Favorskaya, A. V.; Vasyukov, A. V.; Ermakov, A. S.; Beklemysheva, K. A.; Kazakov, A. O.; Novikov, A. V. 6 2014 Grid-characteristic method on unstructured tetrahedral meshes. Zbl 1313.86016Muratov, M. V.; Petrov, I. B.; Sannikov, I. V.; Favorskaya, A. V. 4 2014 Numerical modeling of low energy strike at composite stringer panel. Zbl 1324.74015Petrov, I. B.; Vasyukov, A. V.; Beklemysheva, K. A.; Ermakov, A. S.; Dziuba, A. S.; Golovan, V. I. 3 2014 Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems. Zbl 1313.74034Vasyukov, A. V.; Ermakov, A. S.; Potapov, A. P.; Petrov, I. B.; Favorskaya, A. V.; Shevtsov, A. V. 3 2014 Grid-characteristic method on unstructured tetrahedral grids. Zbl 1395.74090Petrov, I. B.; Favorskaya, A. V.; Muratov, M. V.; Biryukov, V. A.; Sannikov, A. V. 2 2014 Modeling of 3D seismic problems using high-performance computing. Zbl 1313.86017Petrov, I. B.; Khokhlov, N. I. 2 2014 Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step. Zbl 1457.86003Petrov, I. B.; Favorskaya, A. V.; Sannikov, A. V.; Kvasov, I. E. 13 2013 Numerical simulation of seismic activity by the grid-characteristic method. Zbl 1299.86016Golubev, V. I.; Petrov, I. B.; Khokhlov, N. I. 7 2013 Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method. Zbl 1357.65249Muratov, M. V.; Petrov, I. B. 4 2013 Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method. Zbl 1457.74072Beklemysheva, K. A.; Favorskaya, A. V.; Petrov, I. B. 2 2013 High-performance computer simulation of wave processes in geological media in seismic exploration. Zbl 1249.86040Kvasov, I. E.; Petrov, I. B. 8 2012 Influence of natural disasters on ground facilities. Zbl 1265.74046Golubev, V. I.; Kvasov, I. E.; Petrov, I. B. 4 2011 Numerical study of dynamic processes in a continuous medium with a crack initiated by a near-surface disturbance by means of the grid-characteristic method. Zbl 1224.65222Kvasov, I. E.; Pankratov, S. A.; Petrov, I. B. 1 2010 Computation of wave processes in non-uniform 3D constructions. Zbl 1177.74099Kvasov, I. E.; Petrov, I. B.; Chelnokov, F. B. 5 2009 Mathematical simulation of deformation and wave processes in multilayered structures. Zbl 1177.74114Matyushev, N. G.; Petrov, I. B. 3 2009 Modeling of wave processes with smoothed particle hydrodynamics method. Zbl 1195.76307Potapov, A. P.; Royz, S. I.; Petrov, I. B. 2 2009 Numerical analysis of wave processes and fracture in layered targets. Zbl 1136.74333Petrov, I. B.; Chelnokov, F. B. 11 2003 Computation of dynamical processes in eye during laser cataract extraction. Zbl 1044.92029Balanovsky, N. N.; Bubnov, A. V.; Obukhov, A. S.; Petrov, I. B. 1 2003 Spatial patterns formed by chemotactic bacteria {Escherichia coli}. Zbl 1011.92009Lobanov, A. I.; Pashkov, R. A.; Petrov, I. B.; Polezhaev, A. A. 5 2002 Simultaneous solution of the problem on the action of a compressed plasma on the railgun electrodes. Zbl 0974.76616Lobanov, A. I.; Petrov, I. B. 1 1993 Calculation of dynamic deformation and fracture of elasto-plastic bodies by grid-characteristic methods. Zbl 0972.74515Ivanov, V. D.; Kondaurov, V. I.; Petrov, I. B.; Kholodov, A. S. 9 1990 On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid. Zbl 0737.73095Petrov, I. B.; Tormasov, A. G.; Kholodov, A. S. 6 1990 Numerical investigation of the three-dimensional compression wave flow over an obstacle or cavity in an elastoplastic half-space. Zbl 0736.73072Petrov, I. B.; Tormasov, A. G. 1 1990 Numerical modelling of the behaviour of elastic and elasto-plastic bodies in the presence of strong energy fluxes. Zbl 0969.74530Korotin, D. N.; Petrov, I. B.; Kholodov, A. S. 1 1989 Computation of dynamic-deformation processes in elastoplastic solids with allowance for continual failure. Zbl 0637.73036Kondaurov, V. I.; Petrov, I. B. 2 1985 Regularization of discontinuous numerical solutions of equations of hyperbolic type. Zbl 0577.65079Petrov, I. B.; Kholodov, A. S. 16 1984 Numerical study of some dynamic problems of the mechanics of a deformable rigid body by the mesh-characteristic method. Zbl 0566.73068Petrov, I. B.; Kholodov, A. S. 13 1984 Numerical investigation of some dynamical problems of mechanics of a deformable rigid body by the net-characteristic method. Zbl 0551.73080Petrov, I. B.; Kholodov, A. S. 8 1984 all cited Publications top 5 cited Publications all top 5 Cited by 97 Authors 47 Petrov, Igor’ Borisovich 17 Favorskaya, Alena V. 13 Beklemysheva, Katerina A. 10 Vasyukov, Aleksey V. 8 Golubev, Vasily I. 8 Muratov, M. V. 5 Biryukov, Vova A. 4 Chistyakov, Aleksandr Evgen’evich 4 Kazakov, Alexander O. 4 Kvasov, I. E. 4 Sannikov, Alexander V. 4 Sukhinov, Aleksandr Ivanovich 3 Ermakov, A. S. 3 Grigoriev, Georgiy K. 3 Kulberg, Nikolay S. 3 Stognii, Polina V. 3 Vassilevski, Yuri V. 2 Aristova, E. N. 2 Boĭkov, D. S. 2 Gasilov, Vladimir A. 2 Mimura, Masayasu 2 Miryaha, Vladislav A. 2 Nikitina, Alla V. 2 Petrov, Dmitriy I. 2 Potapov, Anton P. 2 Rung, E. V. 2 Shevtsov, A. V. 2 Tumakov, Dmitriĭ Nikolaevich 2 Voinov, O. Ya. 2 Zhuravlev, Yu. I. 1 Anufrieva, A. A. 1 Aotani, Akihiro 1 Astafurov, G. O. 1 Atayan, Asya Mikhaĭlovna 1 Aubert, M. 1 Badoual, Mathilde 1 Bazhenov, Valentin G. 1 Burago, N. G. 1 Celiński, Rafał 1 Danilova, A. V. 1 Dunham, Eric M. 1 Dyukina, N. S. 1 Galanin, M. P. 1 Grammaticos, Basil 1 Guseva, E. K. 1 Gushchin, Valentin Anatol’evich 1 Hilhorst, Danielle 1 Jaśkowiec, Jan 1 Kabisov, S. V. 1 Khachunts, D. S. 1 Khokhlov, Nikolai I. 1 Khokhlov, Nikolay I. 1 Kholodov, Aleksandr Sergeevich 1 Kholodov, Ya. A. 1 Kondaurov, Vladimir Ignatevich 1 Kozhemyachenko, A. A. 1 Kriksin, Yu. A. 1 Kuchunova, Elena Vladimirovna 1 Ladonkina, Marina E. 1 Leviant, V. B. 1 Levin, Vladimir Anatol’evich 1 Lobanov, Alekseĭ Ivanovich 1 Men’shov, Igor S. 1 Mirov, Firuz Kh. 1 Miryakha, V. A. 1 Mischenko, Alexander 1 Mollee, Thomas 1 Nikitin, Ilia S. 1 Nordström, Jan 1 Ol’khovskaya, O. G. 1 O’Reilly, Ossian 1 Ovcharov, G. I. 1 Painter, Kevin J. 1 Pankratov, S. A. 1 Podryga, Viktoriia O. 1 Popov, Igor’ Viktorovich 1 Poveshchenko, Yu. A. 1 Protsenko, Elena Anatol’evna 1 Protsenko, S. V. 1 Roux, Pierre 1 Sadovskii, Vladimir M. 1 Salamatova, Victoria Yu. 1 Sannikov, I. V. 1 Semenyakina, A. A. 1 Serejkin, Alexey 1 Shevchenko, A. V. 1 Shtejn, M. Sh. 1 Shul’ts, K. I. 1 Sidoryakina, V. V. 1 Siettos, Constantinos I. 1 Tishkin, Vladimir Fëdorovich 1 Tolstykh, Andrei I. 1 Tsybulin, I. V. 1 Vesnik, Michael V. 1 Voloshin, A. S. 1 Voroshchuk, Denis N. 1 Zhuravlev, A. B. all top 5 Cited in 17 Serials 19 Matematicheskoe Modelirovanie 16 Computational Mathematics and Mathematical Physics 12 Lobachevskii Journal of Mathematics 10 Doklady Mathematics 6 Russian Journal of Numerical Analysis and Mathematical Modelling 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Applied Mathematics and Mechanics 2 Chebyshevskiĭ Sbornik 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Physica D 1 Computational Mechanics 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Journal of Theoretical Biology 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 14 Fields 44 Mechanics of deformable solids (74-XX) 33 Numerical analysis (65-XX) 33 Geophysics (86-XX) 15 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 10 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year