Popov Igor Viktorovich

Publications in Math-Net.Ru

1. Adaptive artificial viscosity in calculations via non-uniform grids
   
   Keldysh Institute preprints, 2024, 040, 17 pp.
2. Distributed algorithm for simulating gas dynamics problems based on the modified method of adaptive artificial viscosity
   
   Mat. Model., 36:6 (2024),  38–58
3. Method for constructing high-order approximation schemes for hyperbolic equations
   
   Mat. Model., 36:4 (2024),  92–102
4. Development of the method of adaptive artificial viscosity for fluid dynamics computations on nonuniform difference grids
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:12 (2024),  2390–2400
5. Estimates of the convergence of iterative methods for numerical simulation of 3D processes in magnetohydrodynamics
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024),  1424–1436
6. Technique for determining the types of fault in calculations of gas flows
   
   Mat. Model., 35:2 (2023),  43–56
7. Definition of discontinuity types in computational gas dynamics
   
   Keldysh Institute preprints, 2022, 089, 12 pp.
8. Method for calculating radiative energy transfer in the "back and forth" approximation
   
   Zhurnal SVMO, 24:4 (2022),  436–451
9. Modeling wave processes in elastic media based on conservative difference schemes
   
   Mat. Model., 33:5 (2021),  107–124
10. Adaptive artificial viscosity method for the numerical solution of hyperbolic equations and systems
    
    Keldysh Institute preprints, 2020, 034, 18 pp.
11. On monotonic differential schemes
    
    Mat. Model., 31:8 (2019),  21–43
12. Numerical simulation in problems with dissociation of gas hydrates in a porous medium in one-dimensional formulation
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:2 (2019),  205–229
13. Unstructured mesh generation method
    
    Keldysh Institute preprints, 2018, 237, 15 pp.
14. One approach to construction of surface grids and volumetric grids
    
    Keldysh Institute preprints, 2017, 127, 14 pp.
15. One approach to constructing a conservative difference scheme for the two-phase filtration problem
    
    Keldysh Institute preprints, 2017, 069, 12 pp.
16. Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation
    
    Keldysh Institute preprints, 2017, 068, 21 pp.
17. Numerical methods with adaptive artificial viscosity for solving of the Navier–Stokes equations
    
    Mat. Model., 28:12 (2016),  122–132
18. Multidimensional difference schemes with heightened order approximation for advection equation with adaptive artificial viscosity
    
    Keldysh Institute preprints, 2015, 042, 28 pp.
19. Construction of difference scheme with heightened order approximation with adaptive artificial viscosity for advection equation
    
    Keldysh Institute preprints, 2015, 039, 25 pp.
20. Discrete ray model and technique for laser beam absorption modeling
    
    Mat. Model., 27:12 (2015),  96–108
21. Method of adaptive artificial viscosity for solving the Navier–Stokes equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015),  1356–1362
22. Shock wave reflection from the axis of symmetry in a nonuniform flow with the formation of a circulatory flow zone
    
    Mat. Model., 25:8 (2013),  33–50
23. Three-dimensional modeling of the laser radiation absorption in the geometrical optics approximation
    
    Keldysh Institute preprints, 2012, 041, 20 pp.
24. The conservative difference schemes in the mixed Eulerian-Lagrangian variables for calculation of three-dimensional equations of gas dynamics
    
    Keldysh Institute preprints, 2012, 023, 11 pp.
25. Method of adaptive artificial viscosity for the equations of gas dynamics on triangular and tetrahedral grids
    
    Mat. Model., 24:6 (2012),  109–127
26. Finite-difference method for computation of the 3-D gas dynamics equations with artificial viscosity
    
    Mat. Model., 23:3 (2011),  89–100
27. About the new choice of adaptive artificial viscosity
    
    Mat. Model., 22:12 (2010),  23–32
28. Method adaptive artificial viscosity
    
    Mat. Model., 22:7 (2010),  121–128
29. Calculations of bidimentional test problems by a method of adaptive artificial viscosity
    
    Mat. Model., 22:5 (2010),  57–66
30. Adaptive artificial viscosity for gas dynamics for the Euler variables in Cartesian coordinates
    
    Mat. Model., 22:1 (2010),  32–45
31. Some parallel iterative methods for solving elliptic equations on tetrahedral grids
    
    Mat. Model., 21:12 (2009),  3–20
32. Difference schemes on triangular and tetrahedral grids of Navier–Stokes equations for an incompressible fluid
    
    Mat. Model., 21:10 (2009),  94–106
33. Finite-difference method for computation of the gas dynamics equations with artificial viscosity
    
    Mat. Model., 20:8 (2008),  48–60
34. Numerical simulation of nucleation and migration voids in interconnects of electrical circuits
    
    Mat. Model., 19:10 (2007),  29–43
35. CFD software project GIMM study of hydrodynamic problems by parallel computing
    
    Mat. Model., 17:6 (2005),  58–74
36. Difference schemes for parabolic equations on triangular grids
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 1,  53–59
37. Finite difference methods for continuum mechanics problems on triangular and tetrahedral grids
    
    Mat. Model., 15:11 (2003),  3–12
38. Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid
    
    Mat. Model., 15:10 (2003),  3–16
39. Construction of adaptive irregular triangular grids for 2D multiply connected nonconvex domains
    
    Mat. Model., 14:6 (2002),  25–35
40. Two-dimensional energy transfer and plasma formation under laser beam irradiation of a subcritical-density material
    
    Kvantovaya Elektronika, 30:7 (2000),  601–605
41. Finite difference schemes of three-dimensional gas dynamics for the study of Richtmyer–Meshkov instability
    
    Mat. Model., 7:5 (1995),  15–25
42. Numerical simulation of thermal equalisation and hydrodynamic compensation in 'laser greenhouse' targets
    
    Kvantovaya Elektronika, 22:12 (1995),  1257–1261