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Gryn' Vasilii Ivanovich

Publications in Math-Net.Ru

  1. Nonconservative scheme with the isentropic condition in rarefaction waves as applied to the compressible Euler equations

    Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013),  1894–1902
  2. On the role of heat conduction in the formation of a high-temperature plasma during counter collision of rarefaction waves of solid deuterium

    Prikl. Mekh. Tekh. Fiz., 52:4 (2011),  3–20
  3. Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers

    Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007),  481–489
  4. A barrier-type grid generator and its application to the computations of flow with moving boundaries

    Zh. Vychisl. Mat. Mat. Fiz., 43:6 (2003),  902–908
  5. Families of exact solutions to the time-independent Euler and Navier–Stokes equations

    Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1421–1422
  6. Exact solutions to a steady-state radiation-transfer equation in one-dimensional planar and spherical geometries

    Zh. Vychisl. Mat. Mat. Fiz., 37:7 (1997),  841–861
  7. Transformation of the Abel integral equation with nonsmooth data into an integral equation of the second kind

    Zh. Vychisl. Mat. Mat. Fiz., 37:1 (1997),  85–106
  8. Inverse problems of stationary radiation transfer

    Zh. Vychisl. Mat. Mat. Fiz., 35:12 (1995),  1831–1853
  9. Numerical solution of the inverse problem of reconstructing the source function in a two-dimensional plane geometry

    Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1666–1679
  10. The solution of Abel's integral equation by a modified broken line of minimum length method

    Zh. Vychisl. Mat. Mat. Fiz., 34:8-9 (1994),  1219–1236
  11. The uniqueness of the determination of the absorption coefficient in the spherically symmetric case

    Zh. Vychisl. Mat. Mat. Fiz., 33:10 (1993),  1536–1549
  12. Inverse problems of the determining the absorption coefficient and the de-excitation function for certain spatial domains

    Zh. Vychisl. Mat. Mat. Fiz., 33:4 (1993),  578–599
  13. Simultaneous determination of two coefficients of the three-dimensional equation of steady-state radiation transfer with isotropic scattering

    Zh. Vychisl. Mat. Mat. Fiz., 33:1 (1993),  81–100
  14. Two-step iterational regularization methods

    Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1821–1824
  15. Variational problems of radiation-transfer theory and the method of spherical functions

    Zh. Vychisl. Mat. Mat. Fiz., 32:10 (1992),  1608–1627
  16. Inverse problems of the theory of stationary radiation transfer in two-dimensional plane geometry

    Zh. Vychisl. Mat. Mat. Fiz., 32:5 (1992),  758–771
  17. Inverse three-dimensional problems of the simultaneous determination of the absorption coefficient and the source function for the transport equation

    Zh. Vychisl. Mat. Mat. Fiz., 32:1 (1992),  97–114
  18. Joint reconstruction of the absorption coefficient and the source function for the stationary radiation transport equation in $R^3$

    Dokl. Akad. Nauk SSSR, 319:4 (1991),  849–853
  19. Nonlinear Volterra integral equations of the first kind with an integrable singularity

    Dokl. Akad. Nauk SSSR, 314:4 (1990),  838–841
  20. Integrodifferential equations for non-spherical aerosols coagulation

    Zh. Vychisl. Mat. Mat. Fiz., 30:10 (1990),  1571–1587
  21. Determination of the absorption coefficient in the spherically symmetric case

    Zh. Vychisl. Mat. Mat. Fiz., 30:9 (1990),  1341–1356
  22. A numerical method for solving the radiation transport equation in planar and spherical geometry

    Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1210–1223
  23. Inverse three-dimensional problems of radiation transport theory close to two-dimensional plane and cylindrical problems

    Zh. Vychisl. Mat. Mat. Fiz., 29:10 (1989),  1480–1491
  24. On coagulation models and the calculation of optical properties of aerosols

    Zh. Vychisl. Mat. Mat. Fiz., 29:8 (1989),  1212–1231
  25. Numerical solution of an inverse problem of the dynamics of a radiating gas with axial symmetry

    Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1078–1084
  26. On $N$-generalizations of $P_W$-algorithms

    Zh. Vychisl. Mat. Mat. Fiz., 27:6 (1987),  954–955
  27. On inverse problems of the theory of radiation transport in two-dimensional geometries

    Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  441–455
  28. Variational principles for the transport equation and the method of spherical harmonics

    Zh. Vychisl. Mat. Mat. Fiz., 26:9 (1986),  1433–1434
  29. Estimation of the accuracy of the solution of an ill-posed problem by means of averaging functions

    Zh. Vychisl. Mat. Mat. Fiz., 26:9 (1986),  1291–1307
  30. On existence and uniqueness of solution of energy and radiation transfer equations

    Zh. Vychisl. Mat. Mat. Fiz., 26:8 (1986),  1270–1272
  31. An inverse problem of linear radiative transfer theory

    Zh. Vychisl. Mat. Mat. Fiz., 26:6 (1986),  864–881
  32. Inverse problems for the radiation transport equation with cylindrical symmetry

    Dokl. Akad. Nauk SSSR, 284:5 (1985),  1101–1103
  33. On inverse diagnostic problems of the dynamics of a radiating gas

    Zh. Vychisl. Mat. Mat. Fiz., 25:10 (1985),  1506–1525
  34. Stability of a matrix variant of flow double sweep

    Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985),  335–343
  35. Different $P_N$-approximations of the method of spherical harmonics

    Zh. Vychisl. Mat. Mat. Fiz., 25:2 (1985),  254–268
  36. Two-step iteration regularization methods for the solution of ill-posed problems with a selfadjoint nonnegative operator

    Zh. Vychisl. Mat. Mat. Fiz., 24:11 (1984),  1614–1628
  37. Two-step iteration regularization methods

    Zh. Vychisl. Mat. Mat. Fiz., 24:10 (1984),  1454–1473
  38. Generalization of Pomraning boundary conditions to $P_{N}$-approximation of the method of spherical harmonics for the transport equation

    Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984),  694–708
  39. Majorant estimation for a one-dimensional linear hyperbolic equation

    Zh. Vychisl. Mat. Mat. Fiz., 24:3 (1984),  383–388
  40. Iteration processes for problems of transport theory

    Zh. Vychisl. Mat. Mat. Fiz., 24:2 (1984),  254–260
  41. Variational principles for the transport equation and their relation to $P_{N}$-approximation of the method of spherical harmonics

    Zh. Vychisl. Mat. Mat. Fiz., 24:1 (1984),  75–91
  42. Stability of the recurrent determination of matrix elements generated by products of orthogonal polynomials

    Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983),  515–525
  43. Construction and investigation of schemes for calculating radiation transport

    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1442–1456
  44. Scheme for calculation of radiation transfer with Compton scattering

    Zh. Vychisl. Mat. Mat. Fiz., 21:3 (1981),  696–706
  45. The scheme for computation of radiative transfer in moving and scattering gas

    Zh. Vychisl. Mat. Mat. Fiz., 20:3 (1980),  691–702

  46. Correction to: “Transformation of an Abel-type integral equation with nonsmooth data to an integral equation of the second kind”

    Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  1024
  47. Erratum: “Numerical solution of an inverse problem of the reconstruction of a source function in two-dimensional plane geometry”

    Zh. Vychisl. Mat. Mat. Fiz., 35:4 (1995),  482
  48. Errata: “Variational problems in radiation transfer theory and the method of spherical harmonics”

    Zh. Vychisl. Mat. Mat. Fiz., 32:12 (1992),  1842
  49. Corrections: "Variational principles for the transport equation and the method of sperical harmonics"

    Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987),  796


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