Rykov Yuri Germanovich

Publications in Math-Net.Ru

1. On the evolution of the hierarchy of shock waves in a two-dimensional isobaric medium
   
   Izv. RAN. Ser. Mat., 88:2 (2024),  96–126
2. Computation of unsteady swirling flows in nozzles and pipes by applying a new locally implicit Godunov-type scheme
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024),  1529–1545
3. Program package NOISEtte-MCFL for simulation multicomponent reacting flows
   
   Keldysh Institute preprints, 2023, 006, 23 pp.
4. On the concept of influence in the concept of cognitive modeling when using the activation function of the ReLU type
   
   Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2023, no. 4,  59–71
5. On the interaction of shock waves in two-dimensional isobaric media
   
   Uspekhi Mat. Nauk, 78:4(472) (2023),  199–200
6. On model two-dimensional pressureless gas flows: Variational description and numerical algorithm based on adhesion dynamics
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023),  639–656
7. On modeling the development of the region in conditions of high uncertainty and lack of data
   
   Keldysh Institute preprints, 2022, 034, 16 pp.
8. MCFL-Chem software module for numerical simulation of high-speed reacting flows
   
   Keldysh Institute preprints, 2022, 021, 40 pp.
9. Extracting factual information about the pandemic from open Internet sources
   
   Mat. Biolog. Bioinform., 17:2 (2022),  423–440
10. Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case
    
    Mat. Zametki, 112:4 (2022),  486–499
11. Mathematical aspects of the concept of influence in the cognitive simulations
    
    Artificial Intelligence and Decision Making, 2021, no. 2,  3–10
12. The technology of using fuzzy cognitive maps from a mathematical point of view
    
    Keldysh Institute preprints, 2021, 073, 22 pp.
13. Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws
    
    Mat. Zametki, 110:6 (2021),  944–947
14. Simulation of multicomponent gas flows using double-flux method
    
    Matem. Mod., 32:10 (2020),  3–20
15. Solutions with Substance Decay in Pressureless Gas Dynamics Systems
    
    Mat. Zametki, 108:3 (2020),  477–480
16. Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics
    
    Dokl. Akad. Nauk, 484:6 (2019),  7–10
17. Variational principle for multidimensional conservation laws and pressureless media
    
    Uspekhi Mat. Nauk, 74:6(450) (2019),  159–160
18. Mathematical model of multicomponent mixture flow of gases with regard to the possibility of the liquid phase
    
    Keldysh Institute preprints, 2018, 183, 36 pp.
19. An exact Riemann solver in the algorithms for multicomponent gas dynamics
    
    Keldysh Institute preprints, 2018, 096, 28 pp.
20. Multi-D variational principle and pressureless gas dynamics
    
    Keldysh Institute preprints, 2018, 080, 12 pp.
21. Optimal scheduling of homogeneous products transportation
    
    Keldysh Institute preprints, 2018, 065, 26 pp.
22. On the variational approach to systems of quasilinear conservation laws
    
    Trudy Mat. Inst. Steklova, 301 (2018),  225–240
23. The mathematical model and numerical approach based on ENO schemes for the flows in variable cross-section channels with combustion
    
    Keldysh Institute preprints, 2016, 112, 20 pp.
24. 2D pressureless gas dynamics and variational principle
    
    Keldysh Institute preprints, 2016, 094, 14 pp.
25. On the closeness of trajectories for model quasi-gasdynamic equations. Linear case
    
    Keldysh Institute preprints, 2016, 090, 14 pp.
26. On the calculation of 2D compressible filtration flows by the ‘compressible streamlines’ methodology
    
    Keldysh Institute preprints, 2016, 064, 12 pp.
27. Numerical simulation of high-speed combustion chamber by OpenFOAM
    
    Keldysh Institute preprints, 2016, 010, 32 pp.
28. On high velocity flow simulation in model ramjet engine
    
    Keldysh Institute preprints, 2015, 005, 23 pp.
29. Systems of quasilinear conservation laws and algorithmization of variational principles
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015),  1586–1598
30. On the computation of the phase equilibrium in multicomponent filtration problems
    
    Keldysh Institute preprints, 2014, 094, 20 pp.
31. On a two-dimensional model for computations of two-phase flows
    
    Keldysh Institute preprints, 2014, 086, 32 pp.
32. On the methodology of variational representation of generalized solutions to quasi-linear hyperbolic two-equations systems
    
    Keldysh Institute preprints, 2014, 084, 22 pp.
33. On a model system with a small parameter as a coefficient of the highest time derivative arising in the analysis of certain quasihydrodymamical systems
    
    Keldysh Institute preprints, 2012, 075, 9 pp.
34. The emergence of non-classic shocks in a flow model of two-component, two-velocity medium
    
    Keldysh Institute preprints, 2012, 074, 20 pp.
35. On some approach to direct numerical simulation of two-phase flows
    
    Keldysh Institute preprints, 2012, 073, 36 pp.
36. Possible thermodynamic model for the usage in the schematics of DNS for two-phase flows
    
    Keldysh Institute preprints, 2012, 040, 18 pp.
37. On a model equation with small parameter as a coefficient of the second-order time derivative arising in the analysis of certain quasi-gasdynamics systems
    
    Keldysh Institute preprints, 2012, 012, 9 pp.
38. Numerical analysis of new model of metals cristallization processes, two-dimensional case
    
    Matem. Mod., 24:1 (2012),  109–128
39. A variational representation of generalized solutions to quasi-linear hyperbolic systems and possible algorithms for hybrid supercomputers
    
    Keldysh Institute preprints, 2011, 062, 9 pp.
40. On the Generalization of Conservation Law Theory to Certain Degenerate Parabolic Systems of Equations Describing Processes of Compressible Two-Phase Multicomponent Filtration
    
    Mat. Zametki, 89:2 (2011),  300–315
41. Numerical analysis of new model of metals cristallization processes, one-dimensional case
    
    Matem. Mod., 22:12 (2010),  82–102
42. Thermodynamically consistent approach for numerical simulation of oil displacement processes
    
    Matem. Mod., 21:10 (2009),  7–18
43. A rigorous formulation of streamline approach in reservoir simulation for compressible compositional case
    
    Keldysh Institute preprints, 2008, 004, 16 pp.
44. The numerical calculation of some model, which describes the metals’ crystallization process I. 1-D case
    
    Keldysh Institute preprints, 2007, 072, 16 pp.
45. On the Riemann problem for the system of equations of two-component, two-phase filtration in porous media in case of both phases compressibility
    
    Keldysh Institute preprints, 2007, 059, 16 pp.
46. Computation of non-stationary swirled flows in nozzles and pipes using new ‘explicit-implicit’ type scheme
    
    Keldysh Institute preprints, 2004, 052, 32 pp.
47. On the Generalization of Burgers Equation to the Case of Linebreak Bounded Dissipation Flux
    
    Keldysh Institute preprints, 1999, 050
48. Propagation of singularities of shock wave type in a system of equations of two-dimensional pressureless gas dynamics
    
    Mat. Zametki, 66:5 (1999),  760–769
49. The Singularities of Type of Shock Waves in Pressureless Medium, the Solutions in the Sense of Measures and Kolombo's Sense
    
    Keldysh Institute preprints, 1998, 030
50. On the Dynamical System which Corresponds To 2-D System of Gas Dynamics without Pressure
    
    Keldysh Institute preprints, 1997, 068
51. The Cauchy problem for some models of one-dimensional gas dynamics
    
    Dokl. Akad. Nauk, 349:6 (1996),  740–742
52. The Numerical Method for Solving the 2-D System of Gas Dynamics without Pressure
    
    Keldysh Institute preprints, 1996, 076
53. A variational principle for a two-dimensional system of equations of gas dynamics without stress
    
    Uspekhi Mat. Nauk, 51:1(307) (1996),  165–166
54. The Existence Theorems for Cauchy Problem to One Dimensional Models of Gas Dynamics
    
    Keldysh Institute preprints, 1995, 107
55. The Lax–Oleinik variational principle for some one-dimensional systems of quasilinear equations
    
    Uspekhi Mat. Nauk, 50:1(301) (1995),  193–194
56. Localization of perturbations in a boundary value problem for a first-order quasilinear equation
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 1,  73–75
57. Character of propagation of disturbances in the Cauchy problem for quasilinear first-order equations
    
    Mat. Zametki, 42:5 (1987),  712–722