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Yelenin, Georgii Georgievich
Statistics Math-Net.Ru
Total publications: 61
Scientific articles: 58

Number of views:
This page:1003
Abstract pages:15301
Full texts:7156
References:328
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 05.13.18 (Mathematical modelling, calculating methods, and the program systems)
Birth date: 11.03.1947
E-mail:
Website: https://vm.cs.msu.ru/faculty/g.g.elenin; https://letopis.msu.ru/peoples/7411

https://www.mathnet.ru/eng/person27379
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/210196
https://elibrary.ru/author_items.asp?authorid=8112
ISTINA https://istina.msu.ru/workers/1667661
https://www.scopus.com/authid/detail.url?authorId=6603313473

Publications in Math-Net.Ru Citations
2021
1. G. G. Elenin, T. G. Elenina, A. A. Ivanov, “On the accuracy of a family of adaptive symplectic conservative methods for the Kepler problem”, Matem. Mod., 33:2 (2021),  55–66  mathnet; Math. Models Comput. Simul., 13:5 (2021), 853–860 1
2020
2. P. A. Aleksandrov, G. G. Yelenin, “Testing a new conservative method for solving the Cauchy problem for hamiltonian systems on test problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1472–1495  mathnet  elib; Comput. Math. Math. Phys., 60:9 (2020), 1422–1444  isi  scopus
2018
3. G. G. Elenin, T. G. Elenina, “Testing of adaptive symplectic conservative numerical methods for solving the Kepler problem”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  895–913  mathnet  elib; Comput. Math. Math. Phys., 58:6 (2018), 863–880  isi  scopus 2
2015
4. G. G. Elenin, T. G. Elenina, “A one-parameter family of difference schemes for the numerical solution of the Keplerian problem”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015),  1292–1298  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:8 (2015), 1264–1269  isi  elib  scopus 6
2014
5. P. A. Aleksandrov, G. G. Elenin, “On the possibility of constructing a conservative numerical method of solution of the initial value problem for Hamiltonian systems on the basis of the two-stage symmetric symplectic Runge–Kutta methods”, Matem. Mod., 26:10 (2014),  47–63  mathnet; Math. Models Comput. Simul., 7:3 (2015), 233–245  scopus 2
2011
6. G. G. Yelenin, P. I. Shlyakhov, “The geometric structure of the parameter space of the three-stage symplectic Runge–Kutta methods”, Matem. Mod., 23:5 (2011),  16–34  mathnet  mathscinet; Math. Models Comput. Simul., 3:6 (2011), 680–689  scopus 9
2005
7. G. G. Yelenin, P. I. Shlyakhov, “A Method for Constructing the Boundary of Forced Nucleation Domains”, Differ. Uravn., 41:7 (2005),  945–949  mathnet  mathscinet; Differ. Equ., 41:7 (2005), 991–996
8. P. I. Shlyakhov, G. G. Yelenin, “The PATH program for the pathfollowing of the solutions of the nonlinear equations”, Matem. Mod., 17:2 (2005),  11–21  mathnet  mathscinet  zmath
2001
9. G. G. Yelenin, “Exact Stationary and Autowave Solutions in Minimal Models of a Bistable Medium”, Differ. Uravn., 37:7 (2001),  933–940  mathnet  mathscinet; Differ. Equ., 37:7 (2001), 979–987
1997
10. I. S. Kalachinskaya, G. G. Yelenin, E. S. Kurkina, “Stationary dissipative structure in three-component systems of diffusion-reaction type”, Matem. Mod., 9:7 (1997),  54–62  mathnet  mathscinet  zmath
1996
11. G. G. Yelenin, A. G. Makeev, “Selfoscillation damping of the $\mathrm{NO}+\mathrm{CO}$ reaction on $\mathrm{Pt}$ catalyst, caused by surface defects”, Matem. Mod., 8:12 (1996),  62–76  mathnet
12. G. G. Yelenin, E. S. Kurkina, “Bifurcation analysis of the nonideal model for the $(\mathrm{NO}+\mathrm{CO})/\mathrm{Pt}(100)$ reaction in a continuous stirred tank reactor”, Matem. Mod., 8:11 (1996),  41–58  mathnet  mathscinet  zmath
1995
13. G. G. Yelenin, “Nonlinear diffusion coefficients in nonideal adsorbate layer on monocrystal surface”, Matem. Mod., 7:3 (1995),  51–65  mathnet  zmath 1
1994
14. G. G. Yelenin, “Influence of phase transformations in adsorbate layer on the rate of monomolecular adsorbtion and desorbtion”, Matem. Mod., 6:12 (1994),  17–30  mathnet  zmath 1
15. G. G. Yelenin, E. S. Kurkina, “Turing's instability of three-component systems of diffusion-reaction type. Reaction $(\mathrm{NO}+\mathrm{CO})/\mathrm{Pt}(100)$”, Matem. Mod., 6:8 (1994),  17–32  mathnet  mathscinet  zmath 2
1993
16. G. G. Yelenin, N. L. Semendiayeva, “Stochastic modeling of $A+B_2$ reaction in a nonideal adsorbate layer on a catalyst surface. I: Influence of adsorbate mobility on the rate of elementary stages”, Matem. Mod., 5:2 (1993),  42–53  mathnet  zmath 1
1992
17. G. G. Yelenin, “Investigation of kinetics of ordered oner-rand twor-rphase states formation in nonideal adsorbate layer”, Matem. Mod., 4:6 (1992),  106–119  mathnet
18. G. G. Yelenin, “Results of qualitive analysis of invariant solutions of distributied models for nonideal adsorbate layer's equilibrium states”, Matem. Mod., 4:6 (1992),  80–98  mathnet
19. G. G. Yelenin, A. G. Makeev, “Autowave phenomena and dissipative structures on the surface of platinum catalyst in the reaction $\mathrm{NO}+\mathrm{CO}$. Results of computational experiment”, Matem. Mod., 4:4 (1992),  11–26  mathnet
1991
20. G. G. Yelenin, A. G. Makeev, “A mathematical modelling of the dynamics of forming of superstructure $C(2\times2)$ in nonideal adsorbate layer on square lattice”, Matem. Mod., 3:8 (1991),  39–46  mathnet
21. G. G. Yelenin, A. G. Makeev, “Mathematical modelling of the process of monomolecular thermal desorption in nonideal adsorbate layer taking into account a formation of superstructurs”, Matem. Mod., 3:8 (1991),  30–38  mathnet
22. G. G. Yelenin, Yu. V. Troshchiev, “A numerical method of branch switching in multiple bifurcation points for pathfollowing”, Matem. Mod., 3:7 (1991),  101–110  mathnet  mathscinet  zmath 1
23. G. G. Yelenin, A. G. Makeev, “Mathematical modelling of forming of island structures on a monocrystall surface”, Matem. Mod., 3:7 (1991),  29–37  mathnet 3
24. G. G. Yelenin, Yu. V. Troshchiev, “Reduction for systems of nonlinear equations with symmetry”, Matem. Mod., 3:6 (1991),  72–83  mathnet  mathscinet  zmath
1990
25. M. T. Ganiev, G. G. Yelenin, “Mathematical modelling of the rmoreactional spectram for one class of heterogeneous catalystic reactions. 3. The parametrical sensibility of TRS”, Matem. Mod., 2:10 (1990),  54–60  mathnet  zmath
26. M. T. Ganiev, G. G. Yelenin, “Mathematical modelling of thermoreactions spectra, for one class of heterogeneous catalystic reactions. 2. The influence of initial covering of the surface at TRS”, Matem. Mod., 2:10 (1990),  49–53  mathnet  zmath 1
27. M. T. Ganiev, G. G. Yelenin, “Mathematical modelling of thermoreactional spectra, for one class of heterogeneous catalystic reactions. 1. The influence of phase transitions at TRS”, Matem. Mod., 2:10 (1990),  38–48  mathnet  zmath
28. G. G. Yelenin, “The unimproveable decrease of dimension for the system of equations of equilibrated states of non-ideal multicomponental lattice gas with respect to a set of sublattices”, Matem. Mod., 2:6 (1990),  141–156  mathnet
29. G. G. Yelenin, Yu. V. Troshchiev, “The qualitive analysis of solutions that correspond to one superstructure on a surface in non-ideal layer of adsorbate”, Matem. Mod., 2:2 (1990),  117–128  mathnet  zmath
30. G. G. Yelenin, Yu. V. Troshchiev, “Existence, singularity and multiplicity of solutions that correspond to superstructure $C(2\times2)$ in non-ideal layer of adsorbate”, Matem. Mod., 2:1 (1990),  126–143  mathnet  mathscinet  zmath
31. G. G. Yelenin, V. V. Krylov, “Equilibrium equations for multicomponent non-ideal lattice gas on sublattices”, Matem. Mod., 2:1 (1990),  85–104  mathnet  mathscinet  zmath
1989
32. G. G. Yelenin, Yu. V. Troshchiev, “Equilibrium covering of a surface by a layer of adsorbate. Existence, uniqueness and multiplicity of the trivial solution”, Matem. Mod., 1:12 (1989),  149–159  mathnet  mathscinet  zmath
33. G. G. Yelenin, T. M. Lysak, “An algorithm for constructing boundaries of the domain of instability of spatially homogeneous solutions for a class of models of reaction-diffusion type”, Matem. Mod., 1:11 (1989),  139–158  mathnet  mathscinet  zmath
34. G. G. Yelenin, I. S. Kalachinskaya, S. V. Solomatin, “Mathematical modelling of mass transfer in gas liquid system”, Matem. Mod., 1:10 (1989),  51–69  mathnet  zmath
35. G. G. Yelenin, T. M. Lysak, “Necessary condition for soft excitation of dissipative structures for a family of models of heterogeneously-catalytic reactions”, Matem. Mod., 1:9 (1989),  92–100  mathnet  mathscinet  zmath
36. G. G. Yelenin, T. M. Lysak, “Multiplicity of spatially-homogeneous stationary solutions and conditions for parabolicity for a model of heterogeneously-catalytic reaction”, Matem. Mod., 1:9 (1989),  81–91  mathnet  mathscinet  zmath
37. G. G. Yelenin, T. M. Lysak, “Conditions for instability of spatially-homogeneous stationary states for a class of heterogeneous catalytic reactions”, Matem. Mod., 1:2 (1989),  137–150  mathnet  mathscinet  zmath
38. G. G. Yelenin, V. V. Krylov, “Solvability of a system of nonlinear equations of quasichemical approximation of a lattice gas model”, Zh. Vychisl. Mat. Mat. Fiz., 29:12 (1989),  1863–1872  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 184–190
1988
39. G. G. Yelenin, T. M. Lysak, “Dissipative structures in a model reaction of the oxidation of carbon monoxide”, Differ. Uravn., 24:7 (1988),  1186–1192  mathnet  mathscinet; Differ. Equ., 24:7 (1988), 767–772
40. G. G. Yelenin, K. V. Mal'kov, “A class of nonlinear evolution systems that describe crystallization processes”, Differ. Uravn., 24:6 (1988),  936–949  mathnet  mathscinet  zmath; Differ. Equ., 24:6 (1988), 603–613
41. G. G. Yelenin, V. V. Krylov, N. V. Sosnin, “Exact solutions of a problem of crystallization of filterable solutions”, Differ. Uravn., 24:4 (1988),  635–644  mathnet  mathscinet; Differ. Equ., 24:4 (1988), 443–450
42. G. G. Yelenin, E. S. Kurkina, “Multiplicity of steady states in a nonideal model for a heterogeneous-catalytic reaction”, Zh. Vychisl. Mat. Mat. Fiz., 28:5 (1988),  695–704  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 48–54
43. G. G. Yelenin, V. V. Krylov, N. V. Sosnin, “A problem on the dissolving of a dense filtering layer of crystals”, Zh. Vychisl. Mat. Mat. Fiz., 28:1 (1988),  101–111  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 28:1 (1988), 66–73
1987
44. G. G. Yelenin, V. V. Krylov, N. V. Sosnin, “Exact solution of a class of boundary value problems of the dissolving of a dense filtering crystal layer”, Differ. Uravn., 23:7 (1987),  1177–1188  mathnet  mathscinet
45. G. G. Yelenin, I. S. Kalachinskaya, S. V. Solomatin, “Numerical investigation of finite-dimensional models of Marangoni convection”, Differ. Uravn., 23:7 (1987),  1169–1177  mathnet  mathscinet
46. G. G. Yelenin, V. V. Krylov, N. V. Sosnin, “Reduction and analysis of the solutions of the problem of the crystallization of filtered solutions”, Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1068–1077  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 71–77
1986
47. B. M. Dolgonosov, G. G. Yelenin, V. V. Krylov, I. V. Melikhov, N. V. Sosnin, “A mathematical model of the crystallization process”, Differ. Uravn., 22:7 (1986),  1189–1196  mathnet  mathscinet  zmath
48. V. A. Galaktionov, V. A. Dorodnitsyn, G. G. Yelenin, S. P. Kurdyumov, A. A. Samarskii, “A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986),  95–205  mathnet  mathscinet  zmath; J. Soviet Math., 41:5 (1988), 1222–1292 91
1985
49. G. G. Yelenin, I. S. Kalachinskaya, S. V. Solomatin, “Marangoni instability in a gas-liquid system”, Differ. Uravn., 21:7 (1985),  1171–1179  mathnet  mathscinet
1983
50. G. G. Yelenin, V. V. Krylov, “Mathematical justification of a class of models for heterogeneous-catalytic reactions in nonideal adsorption systems”, Dokl. Akad. Nauk SSSR, 273:6 (1983),  1339–1341  mathnet  mathscinet
51. G. G. Yelenin, V. V. Krylov, A. A. Polezhaev, D. S. Chernavskii, “Features of the contrast dissipative structure formation”, Dokl. Akad. Nauk SSSR, 271:1 (1983),  84–88  mathnet
52. G. G. Yelenin, V. V. Krylov, Yu. K. Tovbin, “A mathematical model of the kinetics of oxidation of carbon monoxide in a platinum catalyst”, Differ. Uravn., 19:7 (1983),  1230–1235  mathnet  mathscinet
53. G. G. Yelenin, V. V. Krylov, “Mathematical analysis of a class of models of heterogeneous-catalytic reactions in nonideal adsorption systems”, Differ. Uravn., 19:7 (1983),  1223–1230  mathnet  mathscinet
54. G. G. Yelenin, S. P. Kurdyumov, A. A. Samarskii, “Nonstationary dissipative structures in a nonlinear heat-conducting medium”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983),  380–390  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 80–86 12
1982
55. G. G. Yelenin, V. V. Krylov, “A completely conservative difference scheme for equations of two-layered “shallow water” in Lagrange coordinates”, Differ. Uravn., 18:7 (1982),  1190–1196  mathnet  mathscinet  zmath 2
56. G. G. Yelenin, “A system of quasilinear nonstationary equations of mixed type”, Differ. Uravn., 18:7 (1982),  1186–1190  mathnet  mathscinet  zmath
57. G. G. Yelenin, “The effect of viscosity on the solution of a type of periodic bore”, Differ. Uravn., 18:7 (1982),  1181–1185  mathnet  mathscinet
1977
58. A. A. Samarskii, G. G. Yelenin, N. V. Zmitrenko, S. P. Kurdyumov, A. P. Mikhailov, “Combustion of a nonlinear medium in the form of complex structures”, Dokl. Akad. Nauk SSSR, 237:6 (1977),  1330–1333  mathnet 6
2016
59. V. B. Andreev, S. A. Voloshin, M. P. Galanin, G. G. Yelenin, N. I. Ionkin, M. K. Kerimov, O. S. Mazhorova, E. I. Moiseev, S. I. Mukhin, Yu. P. Popov, N. V. Sosnin, B. N. Chetverushkin, “In memory of Professor Aleksei Vladimirovich Gulin (26.03.1942–27.03.2015)”, Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016),  180–184  mathnet  elib
2005
60. Yu. S. Osipov, V. V. Kozlov, E. P. Velikhov, V. S. Stepin, O. M. Belotserkovskii, A. A. Petrov, Yu. P. Popov, È. L. Akim, A. V. Zabrodin, D. A. Koryagin, G. G. Malinetskii, G. K. Borovin, D. P. Kostomarov, B. N. Chetverushkin, S. P. Kapitza, V. A. Dorodnitsyn, G. G. Yelenin, N. V. Zmitrenko, E. N. Knyazeva, E. S. Kurkina, A. P. Mikhailov, G. Yu. Riznichenko, V. L. Romanov, “Sergei Pavlovich Kurdyumov (1928–2004)”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005),  941–944  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:5 (2005), 909–911
1999
61. G. G. Yelenin, Yu. V. Troshchiev, “Software for multi-parameter bifurcation analysis Ariadne”, Matem. Mod., 11:5 (1999),  126–127  mathnet 1

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