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PEOPLE

Tikhonov Andrei Nikolaevich

Publications in Math-Net.Ru

  1. Image reconstruction problems for synthetic aperture radars

    Dokl. Akad. Nauk, 322:5 (1992),  884–886
  2. Simulation modeling of discrete-continuous industries

    Dokl. Akad. Nauk SSSR, 312:4 (1990),  814–817
  3. Computer tomography of multilayer electronic devices

    Dokl. Akad. Nauk SSSR, 311:4 (1990),  859–861
  4. Seismic tomography in the problems of engineering geophysics

    Dokl. Akad. Nauk SSSR, 304:4 (1989),  840–844
  5. A multifactor optimal planning problem with decreasing cost function

    Dokl. Akad. Nauk SSSR, 299:6 (1988),  1329–1332
  6. The problem of reducing acoustic noise in the interior of a car

    Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988),  1530–1539
  7. A multifactor problem of non-linear programming with a decreasing input function

    Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1149–1162
  8. Microtomography of layered media in conical beams

    Dokl. Akad. Nauk SSSR, 296:5 (1987),  1095–1097
  9. Perspectives of development of deep soundings by transient electromagnetic field

    Dokl. Akad. Nauk SSSR, 295:5 (1987),  1089–1092
  10. Ill-posed problems of image processing

    Dokl. Akad. Nauk SSSR, 294:4 (1987),  832–837
  11. Computing tomography of objects in X-ray and optical scanning microscopy

    Dokl. Akad. Nauk SSSR, 289:5 (1986),  1104–1107
  12. The nonlinear programming problem with decreasing cost function and an algorithm of successive minimal increase

    Dokl. Akad. Nauk SSSR, 285:6 (1985),  1330–1334
  13. On the problem oriented systems of the experimental data processing

    Dokl. Akad. Nauk SSSR, 281:4 (1985),  802–806
  14. Problems with imprecisely given initial information

    Dokl. Akad. Nauk SSSR, 280:3 (1985),  559–562
  15. Small-parameter methods and their application

    Differ. Uravn., 21:10 (1985),  1659–1661
  16. Alekseǐ Georgievich Sveshnikov (on the occasion of his sixtieth birthday)

    Differ. Uravn., 21:2 (1985),  357–360
  17. On the formulation and approximate solution of some inverse problems of NMR introscopy

    Dokl. Akad. Nauk SSSR, 275:1 (1984),  35–37
  18. Thermooptic distortions and large-scale self-focusing in active elements of highpower laser systems

    Kvantovaya Elektronika, 11:9 (1984),  1784–1793
  19. The problem of linear programming with approximate data

    Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1303–1311
  20. On some problems of optimizing the quasi-uniform heating of bulky components

    Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984),  686–693
  21. A stable method for solving a linear programming problem with approximate data

    Dokl. Akad. Nauk SSSR, 272:5 (1983),  1058–1063
  22. Mathematical modeling of a production process

    Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983),  681–692
  23. On solving the problem of image reconstruction in NMR tomography

    Dokl. Akad. Nauk SSSR, 263:4 (1982),  872–876
  24. On the beam divergence in a high power glass laser amplifiers with active elements of rectangular cross section

    Dokl. Akad. Nauk SSSR, 261:6 (1981),  1333–1336
  25. Approximate functional equations of the first kind

    Trudy Mat. Inst. Steklov., 158 (1981),  197–202
  26. On normal solutions of approximate systems of linear algebraic equations

    Dokl. Akad. Nauk SSSR, 254:3 (1980),  549–554
  27. On the nature of Wolf–Rayet stars

    Dokl. Akad. Nauk SSSR, 253:3 (1980),  572–576
  28. On a reciprocity principle

    Dokl. Akad. Nauk SSSR, 253:2 (1980),  305–308
  29. Approximate systems of linear algebraic equations

    Zh. Vychisl. Mat. Mat. Fiz., 20:6 (1980),  1373–1383
  30. On the question of quasi-optimal choice of a regularized approximation

    Dokl. Akad. Nauk SSSR, 248:3 (1979),  531–535
  31. An inverse problem of heat conductivity

    Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  768–774
  32. The effect of heat-insulating layer on the distribution of temperatures in lunar interior

    Dokl. Akad. Nauk SSSR, 233:2 (1977),  320–322
  33. On magneto-telluric investigations of the earth crust

    Dokl. Akad. Nauk SSSR, 217:5 (1974),  1065–1068
  34. The synthesis of multilayer coverings

    Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  135–144
  35. A method for the asymptotic estimation of integrals

    Zh. Vychisl. Mat. Mat. Fiz., 12:4 (1972),  1005–1012
  36. Determination of the geoelectric cross-section by the regularization method

    Zh. Vychisl. Mat. Mat. Fiz., 12:1 (1972),  139–149
  37. On the evolution of melting zones in the thermal history of the Earth

    Dokl. Akad. Nauk SSSR, 188:2 (1969),  338–341
  38. The choice of optimum networks in the approximate calculation of quadratures

    Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969),  1170–1176
  39. The internal structure of a crystalline foundation, as investigated by electromagnetic probing

    Dokl. Akad. Nauk SSSR, 173:5 (1967),  1062–1064
  40. Non-linear effect of formation in self sustained high temperature electrically conducting gas layer in non-stationary processes of magnetic hydrodynamics

    Dokl. Akad. Nauk SSSR, 173:4 (1967),  808–811
  41. Correct methods of solving problems of optimal control

    Zh. Vychisl. Mat. Mat. Fiz., 7:2 (1967),  416–423
  42. On the stability of the functional optimization problem

    Zh. Vychisl. Mat. Mat. Fiz., 6:4 (1966),  631–634
  43. Incorrectly posed problems of optimal programming

    Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  81–89
  44. Ill-posed problems of optimal planning and stable methods for their solution

    Dokl. Akad. Nauk SSSR, 164:3 (1965),  507–510
  45. On incorrect problems of linear algebra and a stable method for their solution

    Dokl. Akad. Nauk SSSR, 163:3 (1965),  591–594
  46. Regularisation methods for optimal control problems

    Dokl. Akad. Nauk SSSR, 162:4 (1965),  763–765
  47. On non-linear equations of the first kind

    Dokl. Akad. Nauk SSSR, 161:5 (1965),  1023–1026
  48. The stability of algorithms for the solution of degenerate systems of linear algebraic equations

    Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  718–722
  49. Mathematical basis of the theory of electromagnetic soundings

    Zh. Vychisl. Mat. Mat. Fiz., 5:3 (1965),  545–548
  50. Use of the regularization method in non-linear problems

    Zh. Vychisl. Mat. Mat. Fiz., 5:3 (1965),  463–473
  51. On the solution of non-linear integral equations of the first kind

    Dokl. Akad. Nauk SSSR, 156:6 (1964),  1296–1299
  52. On stable summability methods for Fourier series

    Dokl. Akad. Nauk SSSR, 156:2 (1964),  268–271
  53. On some non-linear functionals

    Mat. Sb. (N.S.), 65(107):4 (1964),  512–521
  54. The approximate solution of Fredholm integral equations of the first kind

    Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  564–571
  55. Estimates of the error of a Runge-Kutta method and the choice of optimal meshes

    Zh. Vychisl. Mat. Mat. Fiz., 4:2 (1964),  232–241
  56. On the regularization of ill-posed problems

    Dokl. Akad. Nauk SSSR, 153:1 (1963),  49–52
  57. On the solution of ill-posed problems and the method of regularization

    Dokl. Akad. Nauk SSSR, 151:3 (1963),  501–504
  58. On the stability of difference schemes

    Dokl. Akad. Nauk SSSR, 149:3 (1963),  529–531
  59. On asymptotic estimates of the error in the Runge-Kutta type method

    Zh. Vychisl. Mat. Mat. Fiz., 3:1 (1963),  195–197
  60. On homogeneous difference schemes of high order of accuracy on non-uniform nets

    Zh. Vychisl. Mat. Mat. Fiz., 3:1 (1963),  99–108
  61. A method of determining the depth of occurrence of a crystalline foundation from the phase curves of electromagnetic frequency sounding

    Dokl. Akad. Nauk SSSR, 145:1 (1962),  89–92
  62. On the optimality of implicit difference schemes of Adams type

    Zh. Vychisl. Mat. Mat. Fiz., 2:5 (1962),  930–933
  63. Homogeneous difference schemes on non-uniform nets

    Zh. Vychisl. Mat. Mat. Fiz., 2:5 (1962),  812–832
  64. Asymptotic expansions of the error in the difference method of solving Cauchy's problem for systems of differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 2:4 (1962),  537–548
  65. Electromagnetic sounding of the earth deep layers

    Dokl. Akad. Nauk SSSR, 140:3 (1961),  587–590
  66. The Sturm–Liouville difference problem

    Zh. Vychisl. Mat. Mat. Fiz., 1:5 (1961),  784–805
  67. Homogeneous difference schemes of a high degree of accuracy on non-nuniform nets

    Zh. Vychisl. Mat. Mat. Fiz., 1:3 (1961),  425–440
  68. Homogeneous difference schemes

    Zh. Vychisl. Mat. Mat. Fiz., 1:1 (1961),  5–63
  69. Coefficient stability of difference schemes

    Dokl. Akad. Nauk SSSR, 131:6 (1960),  1264–1267
  70. On canonical homogeneous difference schemes

    Dokl. Akad. Nauk SSSR, 131:4 (1960),  761–764
  71. Homogeneous difference schemes of high order accuracy

    Dokl. Akad. Nauk SSSR, 131:3 (1960),  514–517
  72. On homogeneous difference schemes

    Dokl. Akad. Nauk SSSR, 122:4 (1958),  562–565
  73. The representation of linear functionals in the class of discontinuous functions

    Dokl. Akad. Nauk SSSR, 122:2 (1958),  188–191
  74. Systems of differential equations containing small parameters in the derivatives

    Mat. Sb. (N.S.), 31(73):3 (1952),  575–586
  75. On systems of differential equations containing parameters

    Mat. Sb. (N.S.), 27(69):1 (1950),  147–156
  76. On boundary conditions containing derivatives of order higher than the order of the equation

    Mat. Sb. (N.S.), 26(68):1 (1950),  35–56
  77. On the dependence of the solutions of differential equations on a small parameter

    Mat. Sb. (N.S.), 22(64):2 (1948),  193–204
  78. Sur les points invariants des espaces bicompacts

    Rec. Math. [Mat. Sbornik] N.S., 1(43):5 (1936),  775
  79. Théorèmes d'unicité pour l'équation de la chaleur

    Mat. Sb., 42:2 (1935),  199–216
  80. Über unendliche Systeme von Differentialgleichungen

    Mat. Sb., 41:4 (1934),  551–560
  81. Über die Räume der fastperiodischen Funktionen

    Mat. Sb., 41:1 (1934),  166–178

  82. Èduard Genrikhovich Poznyak (on the occasion of his seventieth birthday)

    Differ. Uravn., 29:12 (1993),  2032–2033
  83. Valentin Konstantinovich Ivanov (obituary)

    Uspekhi Mat. Nauk, 48:5(293) (1993),  147–152
  84. Eduard Genrikhovich Poznyak (on his seventieth birthday)

    Uspekhi Mat. Nauk, 48:4(292) (1993),  245–247
  85. Andreǐ Vasil'evich Bitsadze (on the occasion of his 75th birthday)

    Differ. Uravn., 27:7 (1991),  1275–1282
  86. Aleksandr Andreevich Samarskiǐ (on the occasion of his seventieth birthday)

    Differ. Uravn., 25:12 (1989),  2027–2043
  87. Vladimir Aleksandrovich ll'in (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 44:1(265) (1989),  227–229
  88. Academician Lev Semenovich Pontryagin (obituary)

    Uspekhi Mat. Nauk, 44:1(265) (1989),  3–4
  89. Yuriǐ Stanislavovich Bogdanov

    Differ. Uravn., 24:6 (1988),  1091–1097
  90. Vladimir Aleksandrovich Il'in (on the occasion of his 60th birthday)

    Differ. Uravn., 24:5 (1988),  739–750
  91. Academician Andrei Nikolaevich Kolmogorov (obituary)

    Uspekhi Mat. Nauk, 43:1(259) (1988),  3–4
  92. Academician Andrey Nikolaevich Kolmogorov

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 2,  98–99
  93. Nikolaǐ Pavlovich Erugin (on the occasion of his eightieth birthday)

    Differ. Uravn., 23:5 (1987),  739–744
  94. Andrei Vasil'evich Bitsadze (on his seventieth birthday)

    Uspekhi Mat. Nauk, 42:3(255) (1987),  219–220
  95. Andreǐ Vasil'evich Bitsadze (on the occasion of his seventieth birthday)

    Differ. Uravn., 22:12 (1986),  2032–2040
  96. Adelaida Borisovna Vasil'eva (on her sixtieth birthday)

    Uspekhi Mat. Nauk, 41:5(251) (1986),  205–206
  97. Viktor Dmitrievich Kupradze (obituary)

    Uspekhi Mat. Nauk, 41:2(248) (1986),  175–176
  98. Nikolaǐ Nikolaevich Yanenko

    Differ. Uravn., 21:1 (1985),  173–177
  99. Aleksei Georgievich Sveshnikov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 40:6(246) (1985),  163–164
  100. Sergei Aleksandrovich Lomov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 39:2(236) (1984),  215–216
  101. Ivan Aleksandrovich Kipriyanov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 39:2(236) (1984),  213–214
  102. Lev Dmitrievich Kudryavtsev (on the occasion of his sixtieth birthday)

    Differ. Uravn., 19:4 (1983),  724–728
  103. Meeting-seminar of heads of departments of applied and computational mathematics of universities

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 7,  86–88
  104. Aleksandr Andreevich Samarskii (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 35:1(211) (1980),  223–232
  105. Aleksandr Andreevič Samarskiǐ (on the occasion of his 60th birthday)

    Differ. Uravn., 15:7 (1979),  1155–1163
  106. Valentin Konstantinovich Ivanov (on his seventieth birthday)

    Uspekhi Mat. Nauk, 34:2(206) (1979),  229–234
  107. Vladimir Aleksandrovič Il'in (on the occasion of his fiftieth birthday)

    Differ. Uravn., 14:5 (1978),  947–954
  108. Ashraf Iskenderovich Guseinov (on his 70th birthday)

    Uspekhi Mat. Nauk, 33:1(199) (1978),  235–238
  109. Andreǐ Vasil'evič Bicadze (on the occasion of his sixtieth birthday)

    Differ. Uravn., 12:5 (1976),  947–954
  110. Petr Ivanovič Kuznecov (on the fortieth anniversary of his scientific activity)

    Differ. Uravn., 12:3 (1976),  567–570
  111. Alekseǐ Georgievič Svešnikov (on the occasion of his fiftieth birthday)

    Differ. Uravn., 11:5 (1975),  942–945
  112. Sergei Vasil'evich Fomin (obituary)

    Uspekhi Mat. Nauk, 30:5(185) (1975),  2
  113. Yurii Alekcandrovich Surinov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 28:6(174) (1973),  231–232
  114. Николай Иванович Мусхелишвили (к 80-летию со дня рождения)

    Differ. Uravn., 7:2 (1971),  195
  115. Aleksandr Andreevič Samarskiǐ on his fiftieth birthday

    Differ. Uravn., 5:10 (1969),  1909–1914
  116. Lev Èrnestovich El'sgol'ts (obituary)

    Uspekhi Mat. Nauk, 23:2(140) (1968),  193–200
  117. Pavel Sergeevich Aleksandrov (on his seventieth birthday and the fiftieth year of his scientific activity)

    Uspekhi Mat. Nauk, 21:4(130) (1966),  4–7
  118. Поправки к статье “Об устойчивых методах суммирования рядов Фурье” (ДАН, т. 156, № 2, 1964 г.)

    Dokl. Akad. Nauk SSSR, 160:5 (1965),  982
  119. All-Union Conference on Computational Mathematics

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 2:1 (1962),  2
  122. Letter to the Editor

    Uspekhi Mat. Nauk, 6:6(46) (1951),  200
  123. R. Соurant und D. Hilbert, Methoden der mathematischen Physik, Bd. II (review)

    Uspekhi Mat. Nauk, 1940, no. 7,  329–331


© Steklov Math. Inst. of RAS, 2026