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Popov Vasilii Nikolaevich

Publications in Math-Net.Ru

  1. On the method of solving nonlinear Fredholm integral equation of the second kind with piecewise-smooth kernels

    Zhurnal SVMO, 27:1 (2025),  11–24
  2. On the collocation method in constructing a solution to the Volterra integral equation of the second kind using Chebyshev and Legendre polynomials

    Bulletin of Irkutsk State University. Series Mathematics, 50 (2024),  19–35
  3. On the construction of solutions of the inhomogeneous biharmonic equation in problems of mechanics of thin isotropic plates

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 231 (2024),  100–106
  4. On calculation of bending of a thin orthotropic plate using Legendre and Chebyshev polynomials of the first kind

    J. Sib. Fed. Univ. Math. Phys., 17:5 (2024),  586–598
  5. Mathematical Modeling of Elastically Deformed States of Thin Isotropic Plates Using Chebyshev Polynomials

    Zhurnal SVMO, 26:1 (2024),  20–31
  6. Mathematical modeling of bending of a thin orthotropic plate clamped along the contour

    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 20:3 (2024),  310–323
  7. About the integral approach using the collocation method

    Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 88,  14–25
  8. On the calculation of the Poiseuille number in the annular region for non-isothermal gas flow

    J. Sib. Fed. Univ. Math. Phys., 16:3 (2023),  330–339
  9. Calculation of the Darcy friction coefficient using the ellipsoidal statistical model

    Prikl. Mekh. Tekh. Fiz., 64:4 (2023),  108–117
  10. Estimating the Lebesgue constant for the Chebyshev distribution of nodes

    Zhurnal SVMO, 25:4 (2023),  242–254
  11. On the solution of the model kinetic equation ES

    Chebyshevskii Sb., 23:3 (2022),  37–49
  12. Mass flux and gas pressure distribution in a long concentric annular channel in the case of incomplete accommodation of gas molecules

    Zh. Vychisl. Mat. Mat. Fiz., 62:9 (2022),  1551–1562
  13. An application of the Chebyshev collocation method for the calculation of a mass flux in a long concentric annular channel

    Sib. Èlektron. Mat. Izv., 18:2 (2021),  805–816
  14. A collocation method and its application for solving the linearized Holway equation

    Mat. Model., 32:9 (2020),  3–19
  15. Nonisothermal free-molecular flow of gas in an elliptic channel with a circular cylindrical element inside

    Zhurnal Tekhnicheskoi Fiziki, 89:1 (2019),  27–31
  16. An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels

    Sib. Èlektron. Mat. Izv., 16 (2019),  1947–1959
  17. Rarefied gas flow between two coaxial cylinders driven by temperature gradient in the case of specular-diffuse reflection

    Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019),  1401–1409
  18. Transport processes at part accommodation by the walls of a rectangular channel

    Mat. Model., 30:1 (2018),  55–62
  19. Mathematical simulation of heat and mass transfer processes in a rectangular channel depending on the accommodation coefficient of tangential momentum

    Sib. Èlektron. Mat. Izv., 15 (2018),  1011–1023
  20. Mathematical modeling of transport processes in a cylindrical channel

    Zhurnal SVMO, 20:1 (2018),  64–77
  21. Solution of the linearized problem of heat and gas mass transfer in the gap between two cylindrical surfaces under a longitudinal temperature gradient

    Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018),  1666–1674
  22. Mathematical simulation of heat and mass transfer in a cylindrical channel versus the tangential momentum accommodation coefficient

    Zhurnal Tekhnicheskoi Fiziki, 87:11 (2017),  1603–1608
  23. Mathematical simulation of heat transfer in an elliptic channel under the action of a pressure gradient

    Zhurnal Tekhnicheskoi Fiziki, 87:3 (2017),  331–334
  24. Heat transfer process in an elliptic channel

    Mat. Model., 29:1 (2017),  84–94
  25. Analytical solution of the problem of heat transfer in rarefied gas between two coaxial cylinders

    Prikl. Mekh. Tekh. Fiz., 58:2 (2017),  115–121
  26. Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element

    Sib. Èlektron. Mat. Izv., 14 (2017),  518–527
  27. Mathematical modeling of transfer processes in an elliptical channel in the free molecular regime

    Sib. Zh. Ind. Mat., 20:3 (2017),  24–30
  28. Mathematical modeling of the mass transfer process in a rectangular channel in the problem of thermal creep

    Sib. J. Pure and Appl. Math., 17:4 (2017),  39–48
  29. Computation of the gas mass and heat fluxes in a rectangular channel in the free molecular regime

    Zhurnal Tekhnicheskoi Fiziki, 86:6 (2016),  37–41
  30. Mathematical modeling of heat transfer process in a rectangular channel in the problem of Poiseuille flow

    Sib. Èlektron. Mat. Izv., 13 (2016),  1401–1409
  31. Mathematical modeling of transfer processes in the problem of the thermal slip of a gas along a flat surface

    Sib. Zh. Ind. Mat., 17:4 (2014),  79–87
  32. Modelling of transport processes in problem of Couette flow at incomplete accommodation of a tangential impulse of gas molecules by the walls of the channel

    Mat. Model., 25:2 (2013),  111–124
  33. Analytic solution of the problem of a thermal creep

    Zhurnal SVMO, 15:1 (2013),  90–101
  34. Analytical solution of the Poiseuille flow problem using the ellipsoidal-statistical model of the Boltzmann kinetic equation

    Prikl. Mekh. Tekh. Fiz., 53:4 (2012),  48–56
  35. Analytic solution of a problem of Couette Flow

    Zhurnal SVMO, 14:1 (2012),  72–82
  36. Mathematical modelling of processes of carry in flat channels

    Zhurnal SVMO, 13:2 (2011),  81–91
  37. Analytical solution of the problem of sphere rotation in a rarefied molecular gas

    Prikl. Mekh. Tekh. Fiz., 51:6 (2010),  42–48
  38. Rarefied gas flow near a rotating cylinder

    Sib. Zh. Ind. Mat., 13:2 (2010),  19–29
  39. Analytic solution of the Poiseuille Flow problem

    Zhurnal SVMO, 12:3 (2010),  111–121
  40. Effect of temperature on slip coefficients of molecular gases

    Prikl. Mekh. Tekh. Fiz., 47:1 (2006),  58–65
  41. Calculation of the slip rate of a rarefied gas on the basis of the Williams equation

    Sib. Zh. Ind. Mat., 8:1 (2005),  88–100
  42. Calculation of the slip velocity of a rarefied gas on a solid spherical surface with allowance for accommodation coefficients

    Prikl. Mekh. Tekh. Fiz., 45:1 (2004),  23–28
  43. Calculation of the velocity of second-order thermal slip using the model kinetic equation with a variable collision frequency

    TVT, 42:1 (2004),  132–136
  44. Solution of an ellipsoidal statistical model in the problem on thermal creep of a rarefied gas along a spherical surface

    Mat. Model., 15:8 (2003),  118–128
  45. Calculation of the rate of creep of a rarefied gas caused by the nonuniform distribution of temperature in a Knudsen layer

    Sib. Zh. Ind. Mat., 6:1 (2003),  60–71
  46. Case method employed for solving the problem of thermal creep of a rarefied gas along a solid cylindrical surface

    Prikl. Mekh. Tekh. Fiz., 43:5 (2002),  105–113
  47. Application of the Case method in the problem of the thermal slip of a rarefied gas along a solid spherical surface

    Sib. Zh. Ind. Mat., 5:3 (2002),  103–114
  48. A formation system in standard programs

    Zh. Vychisl. Mat. Mat. Fiz., 4:1 (1964),  189–192

© Steklov Math. Inst. of RAS, 2025