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Bakhvalov Nikolai Sergeevich

Publications in Math-Net.Ru

  1. High-order accurate equations describing vibrations of thin bars

    Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006),  457–472
  2. Efficient methods for stiff multidimensional multiparametric problems

    Zh. Vychisl. Mat. Mat. Fiz., 39:12 (1999),  2019–2049
  3. Automatic construction of integration mesh for boundary value problems with boundary layers

    Zh. Vychisl. Mat. Mat. Fiz., 39:8 (1999),  1290–1295
  4. An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains

    Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999),  919–931
  5. Effective moduli of composites reinforced by systems of plates and bars

    Zh. Vychisl. Mat. Mat. Fiz., 38:5 (1998),  813–834
  6. Effective moduli of thin-walled constructions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 6,  53–56
  7. Mathematical study of sound waves propagation progress in mixtures

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  19–21
  8. The application of Chebyshev’s ideas in modern numerical mathematics

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  5–11
  9. The effective properties of structures and composites with inclusions in the form of walls and rods

    Zh. Vychisl. Mat. Mat. Fiz., 36:12 (1996),  73–79
  10. Explicit computation of the effective characteristics of composites that are reinforced by an unordered system of fibers

    Dokl. Akad. Nauk, 340:3 (1995),  295–299
  11. The limiting behaviour of periodic media with soft-modular inclusions

    Zh. Vychisl. Mat. Mat. Fiz., 35:6 (1995),  905–917
  12. Energy estimates in the case of nonapplicability of the Korn inequality, and orthogonal decompositions in spaces of matrices

    Trudy Mat. Inst. Steklov., 203 (1994),  21–32
  13. An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures

    Zh. Vychisl. Mat. Mat. Fiz., 34:3 (1994),  395–414
  14. A Korn-type inequality and orthogonal decompositions in matrix spaces

    Dokl. Akad. Nauk, 331:5 (1993),  536–537
  15. Averaging of the equations of the dynamics of composites of slightly compressible elastic components

    Zh. Vychisl. Mat. Mat. Fiz., 33:7 (1993),  1066–1082
  16. Propagation of small perturbations in weakly thermoconducting and weakly viscous micrononhomogeneous media

    Dokl. Akad. Nauk, 325:1 (1992),  9–15
  17. On the rate of propagation of perturbations in micro-inhomogeneous elastic media with small shear elasticity

    Dokl. Akad. Nauk, 323:1 (1992),  13–18
  18. An effective iterative method for the solution of Lamé equations for almost incompressible media and of Stokes equations

    Dokl. Akad. Nauk SSSR, 319:1 (1991),  13–17
  19. Effective computation of averaged characteristics of composites of periodic structure that consist of essentially different materials

    Dokl. Akad. Nauk SSSR, 313:4 (1990),  777–781
  20. A new iterative algorithm for solving problems of the method of fictitious flows for elliptic equations

    Dokl. Akad. Nauk SSSR, 312:4 (1990),  783–786
  21. Variational properties of averaged equations for periodic media

    Trudy Mat. Inst. Steklov., 192 (1990),  5–19
  22. The averaging method for partial differential equations and its applications

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 34 (1988),  215–241
  23. Numerical solution of problems with nonsmooth data and interpolation theorems

    Trudy Mat. Inst. Steklov., 166 (1984),  18–22
  24. Processes in periodic media not describable in terms of mean characteristics

    Dokl. Akad. Nauk SSSR, 268:4 (1983),  836–840
  25. Fast methods for solving the Poisson equation

    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1386–1392
  26. Numerical modeling of the motion of a dense electron cloud in an inhomogeneous medium

    Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  685–689
  27. Interpolation theorems for operators admitting estimates in terms of derivatives

    Dokl. Akad. Nauk SSSR, 256:6 (1981),  1296–1300
  28. Averaging of the heat transfer process in periodic media in the presence of radiation

    Differ. Uravn., 17:10 (1981),  1765–1773
  29. Iteration processes for a problem of stationary heat exchange in a system of absolutely black bodies

    Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980),  104–111
  30. On the sound velocity in mixtures

    Dokl. Akad. Nauk SSSR, 245:6 (1979),  1345–1348
  31. The numerical solution of a model selfconsistent electrodynamic problem

    Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1228–1236
  32. Coefficient stability of differential equations and averaging of equations with random coefficients

    Dokl. Akad. Nauk SSSR, 242:4 (1978),  745–748
  33. Numerical solution of maxwell's equations in an inhomogeneous region with a moving discontinuity on the right side

    Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  697–704
  34. Averaging of nonlinear partial differential equations with rapidly oscillating coefficients

    Dokl. Akad. Nauk SSSR, 225:2 (1975),  249–252
  35. Averaging of partial differential equations with rapidly oscillating coefficients

    Dokl. Akad. Nauk SSSR, 221:3 (1975),  516–519
  36. Averaged characteristics of bodies with periodic structure

    Dokl. Akad. Nauk SSSR, 218:5 (1974),  1046–1048
  37. A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative

    Mat. Zametki, 12:6 (1972),  655–664
  38. The stable calculation of polynomial values

    Zh. Vychisl. Mat. Mat. Fiz., 11:6 (1971),  1568–1574
  39. The optimization of methods of solution for ordinary differential equations with strongly oscillating solutions

    Zh. Vychisl. Mat. Mat. Fiz., 11:5 (1971),  1318–1322
  40. On the optimality of linear methods for operator approximation in convex classes of functions

    Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971),  1014–1018
  41. Regularization of Ritz method on an example of polynomial approximation

    Mat. Zametki, 7:4 (1970),  483–493
  42. The existence in the large of a regular solution of a quasilinear hyperbolic system

    Zh. Vychisl. Mat. Mat. Fiz., 10:4 (1970),  969–980
  43. The properties of optimal methods of solving problems in mathematical physics

    Zh. Vychisl. Mat. Mat. Fiz., 10:3 (1970),  555–568
  44. On the optimization of the methods for solving boundary value problems in the presence of a boundary layer

    Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969),  841–859
  45. Evaluation of the integrals of oscillating functions by interpolation at nodes of gaussian quadratures

    Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968),  175–181
  46. Parabolic systems with small parameters in the higher derivatives

    Dokl. Akad. Nauk SSSR, 174:2 (1967),  263–266
  47. The asymptotics for small $\varepsilon$ of the solution of the equation $u_t+(\varphi(u))_{x}=\varepsilon u_{xx}$, corresponding to a rarefaction wave, in the degenerate case

    Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967),  1229–1236
  48. On the optimal speed of integrating analytic functions

    Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  1011–1020
  49. On the convergence of a relaxation method with natural constraints on the elliptic operator

    Zh. Vychisl. Mat. Mat. Fiz., 6:5 (1966),  861–883
  50. On the asymptotics with small $\varepsilon$ of the solution of the equation $u_t+(\varphi(u))_x=\varepsilon u_{xx}$, corresponding to a rarefaction wave

    Zh. Vychisl. Mat. Mat. Fiz., 6:3 (1966),  521–526
  51. Evaluations of the closeness of solutions of the Cauchy problem for non-linear differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  229–237
  52. A lower bound for the randomness measure required in the use of the Monte Carlo method

    Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  760–763
  53. Optimal convergence bounds for quadrature processes and integration methods of Monte Carlo type for classes of functions

    Zh. Vychisl. Mat. Mat. Fiz., 4:supplement to № 4 (1964),  5–63
  54. On the hypothesis of the independence of round-off errors in numerical integration

    Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  399–404
  55. On optimal methods of specifying information during the solution of differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 2:4 (1962),  569–592
  56. Estimation of the error of numerical integration of a first-order quasilinear equation

    Zh. Vychisl. Mat. Mat. Fiz., 1:5 (1961),  771–783
  57. An estimate of the mean remainder term in quadrature formulae

    Zh. Vychisl. Mat. Mat. Fiz., 1:1 (1961),  64–77
  58. Construction of difference equations for an approximate solution of Laplace's equation

    Dokl. Akad. Nauk SSSR, 114:6 (1957),  1146–1148
  59. A method for an approximate solution of Laplace's equation

    Dokl. Akad. Nauk SSSR, 114:3 (1957),  455–458
  60. On the number of arithmetical operations in solving Poisson’s equation for a square by means of finite differences

    Dokl. Akad. Nauk SSSR, 113:2 (1957),  252–254

  61. Aleksei Georgievich Sveshnikov (on his 80th birthday)

    Uspekhi Mat. Nauk, 60:2(362) (2005),  187–190
  62. Aleksei Georgievich Sveshnikov (on the occasion of his eightieth birthday)

    Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005),  371–373
  63. Viktor Antonovich Sadovnichii (A tribute in honor of his sixty-fifth birthday)

    Differ. Uravn., 40:4 (2004),  435–442
  64. Vera Nikolaevna Maslennikova (obituary)

    Uspekhi Mat. Nauk, 56:4(340) (2001),  129–132
  65. Stanislav Nikolaevich Kruzhkov (obituary)

    Uspekhi Mat. Nauk, 53:5(323) (1998),  213–220
  66. Petr Lavrent'evich Ul'yanov (on his seventieth birthday)

    Uspekhi Mat. Nauk, 53:3(321) (1998),  211–220
  67. Sergei Mikhailovich Kozlov (obituary)

    Uspekhi Mat. Nauk, 51:4(310) (1996),  145–146
  68. Ol'ga Arsen'evna Oleinik (on her seventieth birthday)

    Uspekhi Mat. Nauk, 50:4(304) (1995),  177–186
  69. Olga Arsen'evna Oleynik

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 5,  109–119
  70. Nikolai Nikolaevich Chentsov (obituary)

    Uspekhi Mat. Nauk, 48:2(290) (1993),  165–168
  71. Memorial: Nikolai Nikolaevitch Chentsov

    Teor. Veroyatnost. i Primenen., 38:3 (1993),  613–623
  72. Sergei L'vovich Sobolev (on his eightieth birthday)

    Uspekhi Mat. Nauk, 43:5(263) (1988),  3–16
  73. School-Seminar “Approximation Theory and Problems of Calculus Mathematics”

    Uspekhi Mat. Nauk, 42:4(256) (1987),  221–222
  74. Meeting-seminar of heads of departments of applied and computational mathematics of universities

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 7,  86–88
  75. Sergei L'vovich Sobolev (on his seventieth birthday)

    Uspekhi Mat. Nauk, 34:1(205) (1979),  3–15
  76. All-Union Conference on Computational Mathematics

    Uspekhi Mat. Nauk, 20:3(123) (1965),  254–255
  77. The all-union conference on computational mathematics

    Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  779–780

© Steklov Math. Inst. of RAS, 2025