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Yelenin Georgii Georgievich

Publications in Math-Net.Ru

  1. On the accuracy of a family of adaptive symplectic conservative methods for the Kepler problem

    Mat. Model., 33:2 (2021),  55–66
  2. 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
  3. Testing of adaptive symplectic conservative numerical methods for solving the Kepler problem

    Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  895–913
  4. 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
  5. 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

    Mat. Model., 26:10 (2014),  47–63
  6. The geometric structure of the parameter space of the three-stage symplectic Runge–Kutta methods

    Mat. Model., 23:5 (2011),  16–34
  7. A Method for Constructing the Boundary of Forced Nucleation Domains

    Differ. Uravn., 41:7 (2005),  945–949
  8. The PATH program for the pathfollowing of the solutions of the nonlinear equations

    Mat. Model., 17:2 (2005),  11–21
  9. Exact Stationary and Autowave Solutions in Minimal Models of a Bistable Medium

    Differ. Uravn., 37:7 (2001),  933–940
  10. Stationary dissipative structure in three-component systems of diffusion-reaction type

    Mat. Model., 9:7 (1997),  54–62
  11. Selfoscillation damping of the $\mathrm{NO}+\mathrm{CO}$ reaction on $\mathrm{Pt}$ catalyst, caused by surface defects

    Mat. Model., 8:12 (1996),  62–76
  12. Bifurcation analysis of the nonideal model for the $(\mathrm{NO}+\mathrm{CO})/\mathrm{Pt}(100)$ reaction in a continuous stirred tank reactor

    Mat. Model., 8:11 (1996),  41–58
  13. Nonlinear diffusion coefficients in nonideal adsorbate layer on monocrystal surface

    Mat. Model., 7:3 (1995),  51–65
  14. Influence of phase transformations in adsorbate layer on the rate of monomolecular adsorbtion and desorbtion

    Mat. Model., 6:12 (1994),  17–30
  15. Turing's instability of three-component systems of diffusion-reaction type. Reaction $(\mathrm{NO}+\mathrm{CO})/\mathrm{Pt}(100)$

    Mat. Model., 6:8 (1994),  17–32
  16. 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

    Mat. Model., 5:2 (1993),  42–53
  17. Investigation of kinetics of ordered oner-rand twor-rphase states formation in nonideal adsorbate layer

    Mat. Model., 4:6 (1992),  106–119
  18. Results of qualitive analysis of invariant solutions of distributied models for nonideal adsorbate layer's equilibrium states

    Mat. Model., 4:6 (1992),  80–98
  19. Autowave phenomena and dissipative structures on the surface of platinum catalyst in the reaction $\mathrm{NO}+\mathrm{CO}$. Results of computational experiment

    Mat. Model., 4:4 (1992),  11–26
  20. A mathematical modelling of the dynamics of forming of superstructure $C(2\times2)$ in nonideal adsorbate layer on square lattice

    Mat. Model., 3:8 (1991),  39–46
  21. Mathematical modelling of the process of monomolecular thermal desorption in nonideal adsorbate layer taking into account a formation of superstructurs

    Mat. Model., 3:8 (1991),  30–38
  22. A numerical method of branch switching in multiple bifurcation points for pathfollowing

    Mat. Model., 3:7 (1991),  101–110
  23. Mathematical modelling of forming of island structures on a monocrystall surface

    Mat. Model., 3:7 (1991),  29–37
  24. Reduction for systems of nonlinear equations with symmetry

    Mat. Model., 3:6 (1991),  72–83
  25. Mathematical modelling of the rmoreactional spectram for one class of heterogeneous catalystic reactions. 3. The parametrical sensibility of TRS

    Mat. Model., 2:10 (1990),  54–60
  26. Mathematical modelling of thermoreactions spectra, for one class of heterogeneous catalystic reactions. 2. The influence of initial covering of the surface at TRS

    Mat. Model., 2:10 (1990),  49–53
  27. Mathematical modelling of thermoreactional spectra, for one class of heterogeneous catalystic reactions. 1. The influence of phase transitions at TRS

    Mat. Model., 2:10 (1990),  38–48
  28. 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

    Mat. Model., 2:6 (1990),  141–156
  29. The qualitive analysis of solutions that correspond to one superstructure on a surface in non-ideal layer of adsorbate

    Mat. Model., 2:2 (1990),  117–128
  30. Existence, singularity and multiplicity of solutions that correspond to superstructure $C(2\times2)$ in non-ideal layer of adsorbate

    Mat. Model., 2:1 (1990),  126–143
  31. Equilibrium equations for multicomponent non-ideal lattice gas on sublattices

    Mat. Model., 2:1 (1990),  85–104
  32. Equilibrium covering of a surface by a layer of adsorbate. Existence, uniqueness and multiplicity of the trivial solution

    Mat. Model., 1:12 (1989),  149–159
  33. An algorithm for constructing boundaries of the domain of instability of spatially homogeneous solutions for a class of models of reaction-diffusion type

    Mat. Model., 1:11 (1989),  139–158
  34. Mathematical modelling of mass transfer in gas liquid system

    Mat. Model., 1:10 (1989),  51–69
  35. Necessary condition for soft excitation of dissipative structures for a family of models of heterogeneously-catalytic reactions

    Mat. Model., 1:9 (1989),  92–100
  36. Multiplicity of spatially-homogeneous stationary solutions and conditions for parabolicity for a model of heterogeneously-catalytic reaction

    Mat. Model., 1:9 (1989),  81–91
  37. Conditions for instability of spatially-homogeneous stationary states for a class of heterogeneous catalytic reactions

    Mat. Model., 1:2 (1989),  137–150
  38. 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
  39. Dissipative structures in a model reaction of the oxidation of carbon monoxide

    Differ. Uravn., 24:7 (1988),  1186–1192
  40. A class of nonlinear evolution systems that describe crystallization processes

    Differ. Uravn., 24:6 (1988),  936–949
  41. Exact solutions of a problem of crystallization of filterable solutions

    Differ. Uravn., 24:4 (1988),  635–644
  42. Multiplicity of steady states in a nonideal model for a heterogeneous-catalytic reaction

    Zh. Vychisl. Mat. Mat. Fiz., 28:5 (1988),  695–704
  43. A problem on the dissolving of a dense filtering layer of crystals

    Zh. Vychisl. Mat. Mat. Fiz., 28:1 (1988),  101–111
  44. 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
  45. Numerical investigation of finite-dimensional models of Marangoni convection

    Differ. Uravn., 23:7 (1987),  1169–1177
  46. 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
  47. A mathematical model of the crystallization process

    Differ. Uravn., 22:7 (1986),  1189–1196
  48. 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
  49. Marangoni instability in a gas-liquid system

    Differ. Uravn., 21:7 (1985),  1171–1179
  50. Mathematical justification of a class of models for heterogeneous-catalytic reactions in nonideal adsorption systems

    Dokl. Akad. Nauk SSSR, 273:6 (1983),  1339–1341
  51. Features of the contrast dissipative structure formation

    Dokl. Akad. Nauk SSSR, 271:1 (1983),  84–88
  52. A mathematical model of the kinetics of oxidation of carbon monoxide in a platinum catalyst

    Differ. Uravn., 19:7 (1983),  1230–1235
  53. Mathematical analysis of a class of models of heterogeneous-catalytic reactions in nonideal adsorption systems

    Differ. Uravn., 19:7 (1983),  1223–1230
  54. Nonstationary dissipative structures in a nonlinear heat-conducting medium

    Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983),  380–390
  55. A completely conservative difference scheme for equations of two-layered “shallow water” in Lagrange coordinates

    Differ. Uravn., 18:7 (1982),  1190–1196
  56. A system of quasilinear nonstationary equations of mixed type

    Differ. Uravn., 18:7 (1982),  1186–1190
  57. The effect of viscosity on the solution of a type of periodic bore

    Differ. Uravn., 18:7 (1982),  1181–1185
  58. Combustion of a nonlinear medium in the form of complex structures

    Dokl. Akad. Nauk SSSR, 237:6 (1977),  1330–1333

  59. In memory of Professor Aleksei Vladimirovich Gulin (26.03.1942–27.03.2015)

    Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016),  180–184
  60. Sergei Pavlovich Kurdyumov (1928–2004)

    Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005),  941–944
  61. Software for multi-parameter bifurcation analysis Ariadne

    Mat. Model., 11:5 (1999),  126–127

© Steklov Math. Inst. of RAS, 2026