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Karamzin Yurii Nikolaevich

Publications in Math-Net.Ru

  1. Mathematical modeling of physical processes in electromagnetic water filters and heat exchangers

    Keldysh Institute preprints, 2022, 084, 24 pp.
  2. Multiscale supercomputer modeling of gas purification processes by the adsorption method

    Num. Meth. Prog., 21:1 (2020),  64–77
  3. Incompressible viscous flow simulation using the quasi-hydrodynamic equations system

    Mat. Model., 31:12 (2019),  33–43
  4. Multiscale simulation of gas cleaning processes

    Mat. Model., 31:9 (2019),  54–78
  5. Incompressible viscous flow simulation using the double potential method

    Keldysh Institute preprints, 2018, 247, 20 pp.
  6. Exponential difference schemes for solution of boundary problems for diffusion-convection equations

    Mat. Model., 28:7 (2016),  121–136
  7. Multiscale simulation of nonlinear processes in technical microsystems

    Mat. Model., 27:7 (2015),  65–74
  8. Numerical simulation of nucleation and migration voids in interconnects of electrical circuits

    Mat. Model., 19:10 (2007),  29–43
  9. A two-dimensional model of traffic flows

    Mat. Model., 18:6 (2006),  85–95
  10. Difference schemes for parabolic equations on triangular grids

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 1,  53–59
  11. Finite difference methods for continuum mechanics problems on triangular and tetrahedral grids

    Mat. Model., 15:11 (2003),  3–12
  12. An additive finite-difference method for solving problems in laser thermochemistry

    Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1578–1582
  13. On a new additive difference scheme for parabolic equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  40–48
  14. On an additive difference method for parabolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 35:11 (1995),  1679–1688
  15. Optical bistability in semiconductors under the condition of finite time of absorpted light energy thermalization. II. Numerical simulation of spatial switching waves

    Mat. Model., 5:4 (1993),  14–31
  16. Optical bistability in semiconductors under the condition of finite time of absorpted light energy thermalization. I. Numerical methods. Bistability conditions

    Mat. Model., 5:4 (1993),  3–13
  17. Mathematical modeling of an optical absorption bistability based on a semiconductor system under the condition of two-dimensional thermal conductivity

    Mat. Model., 4:7 (1992),  31–48
  18. The mathematical modeling of the thermal self-action of the scaned light waves

    Mat. Model., 4:3 (1992),  84–90
  19. Difference schemes for problems of absorption bistability in semiconductors

    Differ. Uravn., 27:7 (1991),  1185–1196
  20. Numerical methods for problems of the stimulation of chemical reactions in gases by optical radiation under conditions of developed thermodiffusion

    Differ. Uravn., 27:7 (1991),  1177–1185
  21. On numerical algorithm for nonlinear differential equations describing some processes in photoreciever

    Mat. Model., 3:10 (1991),  95–103
  22. Mathematical simulation of the optical âistability on the thermal nonlinearity of a semiconductor

    Mat. Model., 2:12 (1990),  17–32
  23. About modeling of macrokinetic of gas reactions under influence of optical radiation

    Mat. Model., 2:10 (1990),  80–90
  24. Numerical methods for problems of stimulating chemical reactions in a gas by a light pulse

    Differ. Uravn., 25:7 (1989),  1219–1227
  25. Numerical methods for problems describing heat self-interaction of optical radiation

    Mat. Model., 1:10 (1989),  130–141
  26. A difference method for solving a problem on the steady-state propagation of a light beam in a chemically active gas medium

    Differ. Uravn., 24:7 (1988),  1192–1196
  27. Nonlinear distortions of elliptical light beams

    Kvantovaya Elektronika, 14:9 (1987),  1839–1848
  28. Difference methods in problems of the propagation of optical radiation in a cloud medium

    Differ. Uravn., 21:7 (1985),  1186–1191
  29. Numerical modeling of a process of internal resonance frequency doubling of optical radiation

    Differ. Uravn., 20:7 (1984),  1213–1221
  30. Compensation of nonlinear distortions of optical radiation

    Kvantovaya Elektronika, 11:4 (1984),  693–700
  31. Difference methods in nonstationary problems of radiation transmission in media with two-photon resonance

    Differ. Uravn., 18:7 (1982),  1213–1219
  32. Convergence of the spectral method for solving a problem of nonlinear optics

    Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  235–240
  33. Adiabatic model of resonance two-photon self-focusing and defocusing of optical beams

    Kvantovaya Elektronika, 7:8 (1980),  1748–1755
  34. Self-interaction of optical beams under resonance absorption conditions

    Kvantovaya Elektronika, 7:4 (1980),  720–728
  35. Nonlinear conversion of the frequency of picosecond pulses

    Kvantovaya Elektronika, 6:12 (1979),  2642–2644
  36. Modification of conditions for optimal focusing of high-power laser beams under frequency doubling conditions

    Kvantovaya Elektronika, 5:2 (1978),  460–462
  37. Similarity theory in nonlinear problems of wave diffraction

    Dokl. Akad. Nauk SSSR, 235:3 (1977),  564–567
  38. Existence of parametrically bound waveguides and solitons in the presence of three-frequency wave interaction

    Prikl. Mekh. Tekh. Fiz., 18:1 (1977),  47–52
  39. Longitudinal deviation from phase matching in the generation of a second harmonic of cw laser radiation

    Kvantovaya Elektronika, 4:10 (1977),  2276–2279
  40. Integrals of motion of a nonlinear four-photon interaction

    Kvantovaya Elektronika, 4:3 (1977),  700–703
  41. Limitation on the efficiency of frequency doublers of picosecond light pulses

    Kvantovaya Elektronika, 2:5 (1975),  912–918
  42. Numerical investigation of the operation of unstable telescopic resonators allowing for diffraction and saturation in the active medium

    Kvantovaya Elektronika, 2:2 (1975),  256–264
  43. Difference schemes for the computation of three-frequency interactions of quasimonochromatic waves with allowance made for diffraction

    Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  429–435
  44. Difference schemes for computations of three-frequency interactions of electromagnetic waves in a nonlinear medium with quadratic polarization

    Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  1058–1062
  45. Difference schemes for elliptic equations with special boundary conditions

    Zh. Vychisl. Mat. Mat. Fiz., 11:5 (1971),  1326–1332

© Steklov Math. Inst. of RAS, 2026