Zhalnin Ruslan V.

Publications in Math-Net.Ru

1. Application of the Full Approximation Scheme Multigrid Method to solving one-dimensional nonlinear partial differential equations by the Discontinuous Galerkin Method
   
   Zhurnal SVMO, 27:4 (2025),  435–450
2. Application of computational algorithms with higher order of accuracy to the modeling of two-dimensional problems on development of hydrodynamic instability
   
   Zhurnal SVMO, 26:2 (2024),  143–156
3. The computational algorithm for studying internal laminar flows of a multicomponent gas with different-scale chemical processes
   
   Computer Research and Modeling, 15:5 (2023),  1169–1187
4. Solving two-dimensional problems of gas dynamics using an implicit scheme for the discontinuous Galerkin method on unstructured triangular grids
   
   Sib. Zh. Vychisl. Mat., 25:1 (2022),  19–32
5. Application of an implicit scheme of the discontinuous Galerkin method to solving gas dynamics problems on NVIDIA graphic accelerators
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:2 (2022),  86–99
6. Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method
   
   Keldysh Institute preprints, 2021, 007, 18 pp.
7. Modeling of Richtmyer–Meshkov instability development using the discontinuous Galerkin method and local-adaptive meshes
   
   Mat. Model., 32:10 (2020),  34–46
8. Numerical simulation of propane pyrolysis in a flow chemical reactor under the influence of constant external heating
   
   Mat. Model., 32:9 (2020),  119–130
9. Modeling of acoustic fields during gas flow around bodies
   
   Zhurnal SVMO, 22:3 (2020),  333–351
10. Development of a parallel algorithm based on an implicit scheme for the discontinuous Galerkin method for solving diffusion type equations
    
    Zhurnal SVMO, 22:1 (2020),  94–106
11. A priori error estimates of the local discontinuous Galerkin method on staggered grids for solving a parabolic equation for the homogeneous Dirichlet problem
    
    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:1 (2020),  116–136
12. Application of discontinuous Galerkin method to modeling of two-dimensional flows of a multicomponent ideal gases mixture using local adaptive mesh refinement
    
    Zhurnal SVMO, 21:2 (2019),  244–258
13. Review of the works of V. N. Shchennikova on the study of the convergence of nonlinear almost periodic systems by the comparison method
    
    Zhurnal SVMO, 21:2 (2019),  175–186
14. Construction of a parallel computational algorithm based on the Galerkin discontinuous method for solving convective heat transfer problems on unstructured staggered grids
    
    Zhurnal SVMO, 20:4 (2018),  448–459
15. Galerkin method with discontinuous basis functions on staggered grips a priory estimates for the homogeneous Dirichlet problem
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:2 (2018),  29–43
16. Modeling the flow of multicomponent reactive gas by the example of hydrocarbons pyrolysis
    
    Keldysh Institute preprints, 2017, 101, 16 pp.
17. Modeling the flow of a multicomponent reactive gas using high accuracy algorithms
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017),  608–617
18. Using WENO schemes in mathematical modeling of gas mixture’s dynamics by the example of ethane pyrolysis
    
    Zhurnal SVMO, 18:3 (2016),  98–106
19. Application of the DG method for solution of inverse problem of medicine diffusion out from the chitosan film
    
    Zhurnal SVMO, 18:2 (2016),  94–105
20. Discontinuous finite-element Galerkin method for numerical solution of parabolic problems in anisotropic media on triangle grids
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:3 (2016),  144–151
21. Solving the problem of non-stationary filtration of substance by the discontinuous Galerkin method on unstructured grids
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016),  989–998
22. About the use of WENO-limiter in the implicit scheme for the Discontinuous Galerkin method
    
    Zhurnal SVMO, 17:3 (2015),  75–81
23. Research of the order of accuracy of an Implicit Discontinuous Galerkin method for solving problems of gas dynamics
    
    Zhurnal SVMO, 17:1 (2015),  48–54
24. Solution of 3D heat conduction equations using the discontinuous Galerkin method on unstructured grids
    
    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015),  523–533
25. On construction of WENO schemes for hyperbolic systems on unstructured meshes
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 1,  79–87
26. Discontinuous finite-element Galerkin method for numerical solution of two-dimensional diffusion problems on unstructured grids
    
    Zhurnal SVMO, 16:2 (2014),  7–13
27. Discontinuous finite-element Galerkin method for numerical solution of two-dimensional diffusion problems on unstructured grids
    
    Zhurnal SVMO, 15:2 (2013),  59–65
28. Solution of the model problem for diffusion equation by multigrid method on an irregular grid
    
    Zhurnal SVMO, 12:4 (2010),  126–129
29. About numerical modelling of a turbulent mixing stage at Richtmyer-Meshkov instability evolution
    
    Trudy SVMO, 11:2 (2009),  191–193
30. About choosing interpolation polinom in essentialy non-oscillatory schemes.
    
    Trudy SVMO, 11:2 (2009),  68–77
31. On the construction of parallel computing algorithm for direct numerical simulation of complex gas dynamic flows
    
    Trudy SVMO, 10:1 (2008),  137–146
32. Numerical simulation of Richtmyer–Meshkov instability development using the difference schemes of high order of accuracy
    
    Mat. Model., 19:10 (2007),  61–66


33. To the 75th anniversary of Vyacheslav Zigmundovich Grines
    
    Zhurnal SVMO, 23:4 (2021),  472–476
34. To the 80th anniverssry of Ilya Vladimirovich Boykov
    
    Zhurnal SVMO, 23:3 (2021),  318–321
35. To the 80th anniversary of Vladimir Konstantinovich Gorbunov
    
    Zhurnal SVMO, 23:2 (2021),  207–210
36. In memory of Terekhin Mihail Tihonovich
    
    Zhurnal SVMO, 23:1 (2021),  110–111
37. In memory of Spivak Semen Izrailevich
    
    Zhurnal SVMO, 22:4 (2020),  463–466
38. In memory of Vladimir Nikolaevich Shchennikov
    
    Zhurnal SVMO, 21:2 (2019),  269–273
39. To the eighty-fifth anniversary of Mikhail Tikhonovich Terekhin
    
    Zhurnal SVMO, 21:1 (2019),  114–115
40. To the seventieth anniversary of Vladimir Fedorovich Tishkin
    
    Zhurnal SVMO, 21:1 (2019),  111–113
41. Velmisov Petr Aleksandrovich (on his seventieth birthday)
    
    Zhurnal SVMO, 20:3 (2018),  338–340
42. In memory of Boris Vladimirovich Loginov
    
    Zhurnal SVMO, 20:1 (2018),  103–106
43. On the 80th anniversary of professor E.V. Voskresensky's birthday
    
    Zhurnal SVMO, 19:4 (2017),  95–99
44. Yuri Nikolaevich Deryugin - on his seventieth birthday
    
    Zhurnal SVMO, 19:2 (2017),  139–141
45. In memory of Alekseenko Sergey Nikolaevich
    
    Zhurnal SVMO, 19:1 (2017),  140–142
46. Вячеслав Зигмундович Гринес (к семидесятилетию со дня рождения)
    
    Zhurnal SVMO, 18:4 (2016),  168–171