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Lifanov Ivan Kuz'mich

Publications in Math-Net.Ru

  1. Numerical solution to a two-dimensional hypersingular integral equation and sound propagation in urban areas

    Zh. Vychisl. Mat. Mat. Fiz., 47:12 (2007),  2088–2100
  2. An instance of numerical solution of integral equations with singularities in the periodic case

    Differ. Uravn., 42:9 (2006),  1263–1271
  3. On the study of a characteristic integral equation of the first kind with a logarithmic singularity

    Differ. Uravn., 42:4 (2006),  556–559
  4. Analysis of Some Computational Schemes for a Hypersingular Integral Equation on an Interval

    Differ. Uravn., 41:9 (2005),  1270–1275
  5. Hypersingular integral equations and the theory of wire antennas

    Differ. Uravn., 41:1 (2005),  121–137
  6. On some exact solutions of singular integral equations in the class of generalized functions and their numerical computation

    Differ. Uravn., 40:12 (2004),  1687–1697
  7. Integral equations and sound propagation in a shallow sea

    Differ. Uravn., 40:9 (2004),  1256–1270
  8. Numerical Solution of a Hypersingular Integral Equation on the Torus

    Differ. Uravn., 39:9 (2003),  1247–1261
  9. On the Numerical Solution of Hypersingular and Singular Integral Equations on the Circle

    Differ. Uravn., 39:8 (2003),  1115–1136
  10. Discrete Operators in Spaces of Fractional Quotients of Periodic Functions

    Differ. Uravn., 39:7 (2003),  933–954
  11. Spaces of Fractional Quotients of Periodic Functions

    Differ. Uravn., 39:5 (2003),  687–709
  12. Approaches to the summability of divergent multidimensional integrals

    Mat. Sb., 194:8 (2003),  25–54
  13. On the Notion of the Finite Part of Divergent Integrals in Integral Equations

    Differ. Uravn., 38:9 (2002),  1233–1246
  14. Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function

    Mat. Sb., 193:10 (2002),  3–16
  15. Pseudodifference operators and uniform convergence of divided differences

    Mat. Sb., 193:2 (2002),  53–80
  16. Investigation of Some Hypersingular Integral Equations on the Sphere

    Differ. Uravn., 37:10 (2001),  1395–1405
  17. On certain one- and two-dimensional hypersingular integral equations

    Mat. Sb., 192:8 (2001),  3–46
  18. Modeling of aerodynamic and wave diffraction problems and extensions of Cauchy type integral operators on closed and open curves

    Differ. Uravn., 36:9 (2000),  1184–1195
  19. On singular solutions of some boundary value problems and of singular integral equations

    Differ. Uravn., 35:9 (1999),  1227–1241
  20. Spaces of fractional quotients, discrete operators, and their applications. II

    Mat. Sb., 190:11 (1999),  67–134
  21. Spaces of fractional quotients, discrete operators, and their applications. I

    Mat. Sb., 190:9 (1999),  41–98
  22. A new approach to the solution of mixed boundary value problems for the Laplace and Helmholtz equations

    Differ. Uravn., 34:9 (1998),  1246–1253
  23. Numerical solution of supersingular integral equations with additional terms containing smooth kernels

    Differ. Uravn., 33:9 (1997),  1233–1241
  24. On the integral convergence of an approximate solution of the Prandtl equation to the exact solution

    Differ. Uravn., 32:9 (1996),  1237–1245
  25. Numerical solution of supersingular integral equations by a rectangle-type method

    Differ. Uravn., 32:2 (1996),  238–248
  26. On a justification of the method of discrete singularities in two-dimensional diffraction problems

    Differ. Uravn., 31:9 (1995),  1536–1541
  27. On a method for solving the exterior Neumann problem for the Laplace equation

    Differ. Uravn., 31:9 (1995),  1513–1517
  28. An approximate method for solving a Prandtl-type integral equation for a profile with a corner

    Differ. Uravn., 30:9 (1994),  1607–1616
  29. Theory of singular solutions of singular integral equations and its application in diffraction problems

    Differ. Uravn., 30:9 (1994),  1553–1560
  30. On the construction of wakes in the discrete vortex method

    Dokl. Akad. Nauk, 330:5 (1993),  574–578
  31. Singular solutions of singular integral equations in some problems in electrodynamics

    Differ. Uravn., 29:9 (1993),  1526–1532
  32. Generalized Fourier operators and their application to the justification of some numerical methods in aerodynamics

    Mat. Sb., 183:5 (1992),  79–114
  33. The Fredholm integral equation of the second kind for a vortex layer on a closed surface and its numerical solution

    Dokl. Akad. Nauk SSSR, 316:6 (1991),  1344–1348
  34. Velocity calculation in the method of discrete vortices

    Dokl. Akad. Nauk SSSR, 313:6 (1990),  1399–1402
  35. The generalized Hilbert operator

    Differ. Uravn., 25:2 (1989),  300–306
  36. A numerical method of designing an aircraft with a solid fuselage

    Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989),  589–597
  37. A singular integral equation of the first kind for the Neumann problem

    Differ. Uravn., 24:1 (1988),  110–115
  38. Calculation of the non-stationary aerodynamic characteristics of a body in the case of separated flow

    Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988),  1558–1566
  39. On the approximate solution of singular integral equations

    Differ. Uravn., 23:8 (1987),  1392–1402
  40. A singular integral equation of the second kind with multiple integrals of Cauchy type

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 8,  3–9
  41. Numerical solution of singular integral equations in a class of singular functions and the problem of blowing of the flow in aerodynamics

    Zh. Vychisl. Mat. Mat. Fiz., 26:10 (1986),  1572–1577
  42. Modelling a detached flow around profiles with angular points on a computer

    Dokl. Akad. Nauk SSSR, 285:6 (1985),  1348–1352
  43. A method of regularizing singular integral equations of the first kind

    Differ. Uravn., 21:3 (1985),  455–464
  44. On the numerical solution of problems of elasticity theory

    Dokl. Akad. Nauk SSSR, 277:2 (1984),  323–327
  45. Numerical solution of one-dimensional singular integral equations

    Differ. Uravn., 20:1 (1984),  68–73
  46. On a numerical solution of singular integral equations

    Differ. Uravn., 17:12 (1981),  2238–2249
  47. Some singular integral equations of aerodynamics

    Differ. Uravn., 17:9 (1981),  1539–1547
  48. On the ill-posed property and the regularization of the numerical solution of singular integral equations of the first kind

    Dokl. Akad. Nauk SSSR, 255:5 (1980),  1046–1050
  49. On the discrete vortex method for a wing of infinite span and the Prandtl equation for a wing of finite span

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 6,  44–51
  50. Quadrature formulas and the Poincaré–Bertrand formula for singular integrals

    Sibirsk. Mat. Zh., 21:6 (1980),  46–60
  51. On inversion formulas for multidimensional singular integrals

    Dokl. Akad. Nauk SSSR, 249:6 (1979),  1306–1309
  52. The Poincaré–Bertrand formula and singular integral equations with multiple Cauchy type integrals

    Dokl. Akad. Nauk SSSR, 243:1 (1978),  22–25
  53. On singular integral equations with one-dimensional and multiple integrals of Cauchy type

    Dokl. Akad. Nauk SSSR, 239:2 (1978),  265–268
  54. On the dimension of normal spaces

    Dokl. Akad. Nauk SSSR, 209:2 (1973),  291–294
  55. Imbedding of the topological product of circle-like continua

    Dokl. Akad. Nauk SSSR, 201:1 (1971),  32–35
  56. Examples of bicompacta with distinct inductive dimensions

    Dokl. Akad. Nauk SSSR, 192:2 (1970),  276–278
  57. Two examples for the theory of the dimension of bicompacta

    Dokl. Akad. Nauk SSSR, 192:1 (1970),  26–29
  58. The large inductive dimension

    Dokl. Akad. Nauk SSSR, 184:6 (1969),  1288–1291
  59. The dimension of products of bicompacta

    Dokl. Akad. Nauk SSSR, 182:6 (1968),  1274–1277
  60. The dimension of a product of one-dimensional bicompacta

    Dokl. Akad. Nauk SSSR, 180:3 (1968),  534–537
  61. The dimension of a product of ordered continua

    Dokl. Akad. Nauk SSSR, 177:4 (1967),  778–781
  62. Some theorems concerning the $\operatorname{Ind}$ dimension

    Dokl. Akad. Nauk SSSR, 177:1 (1967),  33–36
  63. On two problems posed by Mardeshich

    Dokl. Akad. Nauk SSSR, 162:5 (1965),  997–1000

© Steklov Math. Inst. of RAS, 2026