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PEOPLE

Rvachev Vladimir Logvinovich

Publications in Math-Net.Ru

  1. Investigation of the diffraction of elastic waves by plates weakened by two holes of arbitrary shape

    Dokl. Akad. Nauk, 349:2 (1996),  175–179
  2. Combination of the $R$-function and the finite difference methods in three-dimensional problems of mathematical physics

    Dokl. Akad. Nauk, 347:4 (1996),  454–457
  3. A posteriori estimates for the error of structural solutions of three-dimensional problems in mathematical physics

    Dokl. Akad. Nauk, 346:4 (1996),  455–458
  4. The method of $\mathrm{R}$-functions in the investigation of the diffraction of elastic waves by a rigid inclusion of arbitrary shape

    Dokl. Akad. Nauk, 344:4 (1995),  457–459
  5. An investigation of the diffraction of elastic waves by a cone using the method of $\mathrm{R}$-functions

    Dokl. Akad. Nauk, 344:3 (1995),  315–318
  6. Structural formulas for solving problems of the diffraction of elastic waves

    Dokl. Akad. Nauk, 343:2 (1995),  163–165
  7. Atomic harmonic functions and a generalized FFT algorithm

    Dokl. Akad. Nauk, 336:4 (1994),  462–465
  8. Atomic exponential functions

    Dokl. Akad. Nauk, 336:3 (1994),  309–311
  9. The electromagnetic field of an array of superconducting antennas

    Dokl. Akad. Nauk, 333:6 (1993),  725–726
  10. On one method of oscillations in electro-optics modulators calculation on the example of half-coaxial resonator with uniaxial crystal

    Dokl. Akad. Nauk, 329:1 (1993),  36–39
  11. Bi-cone resonator electrodynamical characteristics calculation by $R$-functions method

    Dokl. Akad. Nauk, 329:1 (1993),  33–35
  12. Relativistic analysis and its application to the solution of certain nonlinear problems

    Dokl. Akad. Nauk, 326:4 (1992),  637–641
  13. On a calculation method of electromagnetic waves transformation into thermal fields exemplified by rectangular waveguide

    Dokl. Akad. Nauk, 326:1 (1992),  63–67
  14. Optimal finite windows for the reconstruction of images

    Dokl. Akad. Nauk, 322:3 (1992),  498–500
  15. Исследование напряженно-деформированного состояния (НДС) однородных и неоднородных пологих оболочек сложной формы

    Issled. Teor. Plastin i Obolochek, 24 (1992),  113–118
  16. Image reconstruction using deconvolution windows constructed on the basis of atomic functions

    Dokl. Akad. Nauk SSSR, 321:5 (1991),  938–940
  17. The method of signal discretization and interpolation based on atomic function theory

    Dokl. Akad. Nauk SSSR, 321:5 (1991),  914–918
  18. Families of non-Archimedean arithmetics that contain the relativistic number field

    Dokl. Akad. Nauk SSSR, 321:4 (1991),  718–721
  19. The method of $R$-functions in contact problems of thermoelasticity for bodies of finite dimensions

    Dokl. Akad. Nauk SSSR, 321:4 (1991),  701–704
  20. Application of atomic functions for the synthesis of digital filters

    Dokl. Akad. Nauk SSSR, 321:4 (1991),  697–700
  21. A method for computing Fourier and Hartley transforms in a finite digital computer system

    Dokl. Akad. Nauk SSSR, 320:3 (1991),  577–580
  22. On a number-theoretic method for the fast Fourier transform in the Fermat ring

    Dokl. Akad. Nauk SSSR, 320:2 (1991),  303–306
  23. Utilization of atome functions in digital differentiator synthesis

    Dokl. Akad. Nauk SSSR, 319:2 (1991),  347–351
  24. Non-Archimedean arithmetic and other constructive methods of mathematics based on the ideas of the special theory of relativity

    Dokl. Akad. Nauk SSSR, 316:4 (1991),  884–889
  25. Transformation of complex regular logic circuits

    Dokl. Akad. Nauk SSSR, 312:4 (1990),  808–814
  26. A method for constructing new structures of solution of exterior problems of electrodynamics for domains of complex form

    Dokl. Akad. Nauk SSSR, 311:1 (1990),  67–71
  27. Метод $\mathbf R$-функций в задачах об изгибе пластин под действием сосредоточенных нагрузок

    Issled. Teor. Plastin i Obolochek, 20 (1990),  96–102
  28. Construction of new windows for signal processing based on atomic functions

    Dokl. Akad. Nauk SSSR, 306:1 (1989),  78–81
  29. A $R$-function method in the problems of identification of the scattering object shape parameters from the date of remote radiosensing

    Dokl. Akad. Nauk SSSR, 304:2 (1989),  345–347
  30. A method for solving boundary value problems in electrodynamics for regions of complex form with different impedances

    Dokl. Akad. Nauk SSSR, 302:1 (1988),  72–74
  31. An estimate of limit possibilities in table-algorithm methods of multiplication in digital systems

    Dokl. Akad. Nauk SSSR, 301:2 (1988),  292–296
  32. Approximation properties of structures of difference type for the Neumann boundary value problem

    Dokl. Akad. Nauk SSSR, 298:2 (1988),  291–293
  33. An approach to the generalization of systems of representation of signals

    Dokl. Akad. Nauk SSSR, 298:1 (1988),  73–75
  34. Restoration of a class of radio-fields in an atomic space of solutions

    Dokl. Akad. Nauk SSSR, 295:3 (1987),  594–596
  35. On a method for generalized signal imaging

    Dokl. Akad. Nauk SSSR, 294:3 (1987),  573–575
  36. Representation of multidimensional splines by superpositions of some basis system

    Dokl. Akad. Nauk SSSR, 289:3 (1986),  559–563
  37. A method of organizing fault-tolerant computations

    Dokl. Akad. Nauk SSSR, 287:6 (1986),  1342–1345
  38. The $R$-function method in anisotropic plate bending problems

    Dokl. Akad. Nauk SSSR, 280:2 (1985),  314–317
  39. Structures of solutions of the problem of oscillations in axially symmetric resonators

    Dokl. Akad. Nauk SSSR, 273:5 (1983),  1109–1111
  40. Convolution formulas in the method of $R$-functions and their application to the construction of the structures of solutions of boundary-value problems

    Dokl. Akad. Nauk SSSR, 255:1 (1980),  80–83
  41. On the approximate solution of spatial problems of the theory of elasticity for piecewise homogeneous bodies by the method of $R$-functions

    Dokl. Akad. Nauk SSSR, 247:4 (1979),  818–821
  42. Решение одной сопряженной задачи установившегося теплообмена структурным методом

    TVT, 15:2 (1977),  337–340
  43. A regional-structural method

    Differ. Uravn., 12:4 (1976),  720–728
  44. Calculation of nonsteady thermal regime for a cylindrical-shell of complex configuration

    TVT, 14:5 (1976),  1034–1039
  45. A certain method of reducing boundary value problems of mathematical physics to a mathematical programming problem

    Differ. Uravn., 9:12 (1973),  2202–2206
  46. The solution of certain nonlinear boundary value problems for domains of complex form by the lattice method

    Differ. Uravn., 9:4 (1973),  771–773
  47. The solution of mixed boundary value problems in nonhomogeneous media for multiply connected domains of complex form by the lattice method

    Differ. Uravn., 8:4 (1972),  696–705
  48. Расчет теплового режима прибора в герметичном исполнении

    TVT, 10:5 (1972),  1130–1132
  49. Расчет температурного поля нагретой зоны сложной формы, состоящей из шасси и смонтированных на нем деталей

    TVT, 10:2 (1972),  389–394
  50. The solution of certain classes of boundary value problems for systems of bodies of complex form by the method of $R$-functions

    Differ. Uravn., 6:10 (1970),  1851–1858
  51. On the question of constructing coordinate sequences

    Differ. Uravn., 6:6 (1970),  1034–1047
  52. The completeness with respect to energy of systems of coordinate functions which one constructs by the method of $R$-functions

    Differ. Uravn., 5:9 (1969),  1724–1726
  53. The solution of a certain class of boundary value problems with mixed boundary conditions for regions of composite form

    Differ. Uravn., 4:11 (1968),  2089–2093
  54. The construction of a sequence of coordinate functions in solving Dirichlet and Neumann problems for regions of composite form

    Differ. Uravn., 4:4 (1968),  702–713
  55. Two-point and multi-point Taylor formulas

    Differ. Uravn., 3:11 (1967),  1990–1998
  56. The solution of a boundary value problem by the method of $R$-functions

    Differ. Uravn., 3:9 (1967),  1602–1605
  57. Apparent mass coefficient in horizontal hydrodynamic impact of a floating sphere

    Prikl. Mekh. Tekh. Fiz., 7:3 (1966),  121–123
  58. On the application of the Bubnov–Galerkin method to the solution of boundary value problems for regions of complicated form

    Differ. Uravn., 1:11 (1965),  1537–1543
  59. An analytic description of certain geometric objects

    Dokl. Akad. Nauk SSSR, 153:4 (1963),  765–767

© Steklov Math. Inst. of RAS, 2026