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Kalitkin Nikolai Nikolaevich

Publications in Math-Net.Ru

  1. Multidimensional cubatures on Sobol sequences

    Keldysh Institute preprints, 2021, 008, 24 pp.
  2. Reciprocal function method for Cauchy problems with first-order poles

    Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  102–106
  3. The construction of approximations satisfying the Chebyshev alternance

    Keldysh Institute preprints, 2020, 091, 33 pp.
  4. Accuracy control in stiff system integration

    Keldysh Institute preprints, 2020, 088, 27 pp.
  5. Numerical integration of Cauchy problems with singularity points

    Keldysh Institute preprints, 2020, 076, 36 pp.
  6. Improved error estimates for an exponentially convergent quadratures

    Keldysh Institute preprints, 2020, 075, 24 pp.
  7. Unreliability of available pseudorandom number generators

    Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1807–1814
  8. Method for experimental data processing concerning chemical reaction rates in low-atomic gases

    Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020),  1239–1247
  9. Comparative analysis of automatic step selection algorithms for stiff Cauchy problems

    Keldysh Institute preprints, 2019, 146, 34 pp.
  10. Numerical solution error of stiff Cauchy problems on geometrically adaptive meshes

    Keldysh Institute preprints, 2019, 138, 23 pp.
  11. Visual verification of pseudo-random number generators

    Keldysh Institute preprints, 2019, 137, 28 pp.
  12. Refined approximations of cross sections and reactivities significant for controlled thermonuclear fusion

    Keldysh Institute preprints, 2019, 122, 28 pp.
  13. Numerical solution of the Cauchy problem with singularities

    Keldysh Institute preprints, 2019, 121, 16 pp.
  14. Quasi-independent particles model for heterogeneous plasma microfield

    Keldysh Institute preprints, 2019, 093, 28 pp.
  15. Reactivities of the reactions important for controlled fusion targets

    Mat. Model., 31:9 (2019),  39–53
  16. The Fermi–Dirac functions. Direct calculation of the functions

    Keldysh Institute preprints, 2018, 235, 29 pp.
  17. Solution of stiff Cauchy problems with explicit schemes with geometrical-adaptive step selection

    Keldysh Institute preprints, 2018, 227, 20 pp.
  18. Plasma microfield heterogeneity

    Keldysh Institute preprints, 2018, 220, 16 pp.
  19. TEFIS database. Thermodynamic functions of substances

    Keldysh Institute preprints, 2018, 219, 20 pp.
  20. The Fermi-Dirac functions. Properties of functions

    Keldysh Institute preprints, 2018, 174, 24 pp.
  21. Chemical kinetics calculation using explicit schemes with geometric adaptive step selection

    Keldysh Institute preprints, 2018, 173, 32 pp.
  22. Solution of the Fredholm equation of the first kind by mesh method with Tikhonov regularization

    Mat. Model., 30:8 (2018),  67–88
  23. Calculation of the Fermi–Dirac functions with exponentially convergent quadratures

    Mat. Model., 29:12 (2017),  134–146
  24. Correction of the precision approximations of the Fermi–Dirac functions of integer index

    Mat. Model., 29:3 (2017),  42–50
  25. Regularization of the double period method for experimental data processing

    Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1771–1781
  26. Numerical methods of solving Cauchy problems with contrast structures

    Model. Anal. Inform. Sist., 23:5 (2016),  529–538
  27. Mesh step selection based on curvature for stiff Cauchy problems

    Mat. Model., 28:11 (2016),  97–112
  28. Features of contrast structure calculation in Cauchy problems

    Mat. Model., 28:10 (2016),  97–109
  29. Chemical kinetics simulation in gases

    Mat. Model., 28:8 (2016),  46–64
  30. Nonlinearity difficulty in numerical solving of superstiff Cauchy problems

    Mat. Model., 28:4 (2016),  16–32
  31. Prescision approximations for Fermi–Dirak functions of integer index

    Mat. Model., 28:3 (2016),  23–32
  32. Numerical simulations of boundary layer problems

    Mat. Model., 27:11 (2015),  47–55
  33. Comparison of highly stable forms of iterative conjugate directions methods

    Mat. Model., 27:9 (2015),  110–136
  34. Superfast method with guaranteed accuracy for elliptic equations in rectangular domain

    Mat. Model., 27:7 (2015),  37–43
  35. The widerange equation of state for gasios and liquid plasma

    Mat. Model., 27:4 (2015),  31–49
  36. Evolutional factorization and superfast relaxation count

    Mat. Model., 26:9 (2014),  47–64
  37. Arc length method of solving Cauchy problem with guaranteed accuracy for stiff systems

    Mat. Model., 26:7 (2014),  3–18
  38. The one-step truncated gradient methods

    Mat. Model., 26:6 (2014),  85–99
  39. The high smooth continuations for Fourier approximations of non-periodic functions

    Mat. Model., 26:2 (2014),  108–118
  40. Evolutional factorization and superfast relaxation count

    Keldysh Institute preprints, 2013, 069, 36 pp.
  41. Computations with inverse Runge–Kutta schemes

    Mat. Model., 25:10 (2013),  79–96
  42. Odd extension for the Fourier approximation of nonperiodic functions

    Mat. Model., 25:5 (2013),  67–84
  43. The income distribution function in the USA and the economic applications

    Mat. Model., 24:7 (2012),  83–96
  44. On the Craig method convergency for linear algebraic systems

    Mat. Model., 24:3 (2012),  113–136
  45. The improved form of the conjugated gradients method

    Mat. Model., 23:7 (2011),  33–51
  46. The method of seconds with extrapolation for accurate calculation of manifold roots

    Mat. Model., 23:6 (2011),  33–58
  47. The quantitative conditionality criterium for the systems of linear algebraic equations

    Mat. Model., 23:2 (2011),  3–26
  48. Calculation of roots and there multiplicity for nonlinear equation

    Mat. Model., 22:7 (2010),  33–52
  49. The high accuracy asymptotics for a least square spline error

    Mat. Model., 22:5 (2010),  67–68
  50. Approximation of smooth surfaces with the double period method

    Mat. Model., 22:2 (2010),  64–68
  51. Shock wave data interpretation in the base TEFIS

    Mat. Model., 21:12 (2009),  129–136
  52. 1D and 2D bicompact schemes in layered mediums

    Mat. Model., 21:8 (2009),  44–62
  53. The contribution of neutral particles into the electron transport of gases

    Mat. Model., 21:7 (2009),  83–92
  54. The microfield corrections to thermodynamic of strongly coupled plasma

    Mat. Model., 21:7 (2009),  55–66
  55. On convergence of truncated gradient methods

    Mat. Model., 20:9 (2008),  94–104
  56. About the computation of simple and multiple roots of nonlinear equation

    Mat. Model., 20:7 (2008),  57–64
  57. Quantum-statistical calculations of thermodynamics and hugoniots (codes QSM)

    Mat. Model., 20:7 (2008),  30–44
  58. Precise approximation of the cold pressure curves in quantum-statistical atomic model

    Mat. Model., 20:6 (2008),  111–118
  59. The main hugoniots in the data base TEFIS of thermophysical properties of substances

    Mat. Model., 20:6 (2008),  99–110
  60. On convergence of Chapman-Enskog approximations for electron transport coefficients calculations

    Mat. Model., 20:6 (2008),  86–98
  61. Electron transport calculations for plasma in high Chapman-Enskog approximations

    Mat. Model., 20:4 (2008),  103–116
  62. Comparison of detailed plasma composition for different models

    Mat. Model., 20:4 (2008),  69–77
  63. On the exponential integral computation

    Mat. Model., 20:1 (2008),  87–91
  64. Selfconsistent compensated microfield model for strongly coupled plasma

    Mat. Model., 20:1 (2008),  61–76
  65. High-precision invariant on rotation parameterization of curves

    Mat. Model., 20:1 (2008),  16–28
  66. Determining the multiplicity of a root of a nonlinear algebraic equation

    Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008),  1181–1186
  67. Optimal first- to sixth-order accurate Runge–Kutta schemes

    Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008),  418–429
  68. The exact formula for the optimal parameter of the ROS4 schemes

    Mat. Model., 19:11 (2007),  96–98
  69. The optimal parameters of the double period method

    Mat. Model., 19:1 (2007),  57–68
  70. A misprint in the coefficients of Hammud's scheme

    Num. Meth. Prog., 8:1 (2007),  35–37
  71. Mathematical models of plasma physics (review)

    Mat. Model., 18:11 (2006),  67–94
  72. About one high density hot plazma model

    Mat. Model., 18:10 (2006),  71–75
  73. Comparison of difference schemes for the transfer equation

    Mat. Model., 18:4 (2006),  35–42
  74. The optimal parameters for explicit Runge–Kutta schemes of lower orders

    Mat. Model., 18:2 (2006),  61–71
  75. Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems

    Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006),  1392–1414
  76. Programming complex “Plazma-element”

    Mat. Model., 17:10 (2005),  14–30
  77. Micro-field non-ideality model and metallization of plasma

    Mat. Model., 17:6 (2005),  21–32
  78. Debye asymptotics is non-adequate

    Mat. Model., 17:4 (2005),  40–52
  79. Diagnostics of singularities of exact solutions in computations with error control

    Zh. Vychisl. Mat. Mat. Fiz., 45:10 (2005),  1837–1847
  80. Numerical calculation of strongly coupled plasma composition

    Mat. Model., 16:12 (2004),  61–68
  81. The Euler–McLoren formulae of high orders

    Mat. Model., 16:10 (2004),  64–66
  82. Numerical solution for hyperbolic PDE in unlimited domain

    Mat. Model., 16:4 (2004),  114–126
  83. On approximation with nonorthogonal systems

    Mat. Model., 16:3 (2004),  95–108
  84. Fractioning method for clearing accounts

    Mat. Model., 15:2 (2003),  102–112
  85. Precise cold compression curve for copper

    Mat. Model., 15:1 (2003),  29–36
  86. Numerical solution of boundary value problems in unlimited area

    Mat. Model., 14:11 (2002),  10–22
  87. The main Hugoniots of 10 metals

    Mat. Model., 14:10 (2002),  27–42
  88. Interpolation with $B$-splines

    Mat. Model., 14:4 (2002),  109–120
  89. Test problems for ordinary differential equations

    Num. Meth. Prog., 3:3 (2002),  11–19
  90. On accuracy of the quasi-one-dimensional model of smooth wall channel

    Mat. Model., 13:10 (2001),  120–124
  91. Precision collision integrals calculation for non smooth potentials

    Mat. Model., 13:5 (2001),  97–109
  92. $B$-splines of high powers

    Mat. Model., 11:11 (1999),  64–74
  93. Symmetrizatton of global splines

    Mat. Model., 11:8 (1999),  116–126
  94. Two-stages marching method for calculation viscous flow through Laval nozzle

    Mat. Model., 11:7 (1999),  95–117
  95. Optimal schemes for stiff nonautonomous systems

    Mat. Model., 11:6 (1999),  52–81
  96. Shock-wave standards

    Mat. Model., 11:1 (1999),  45–60
  97. Quantum-statistical Hugoniots of porous substances

    Mat. Model., 10:7 (1998),  111–123
  98. Quasi-onedimensional calculation of nonstationar flows

    Mat. Model., 10:5 (1998),  109–118
  99. Tishkiru Rotation invariance of parametric spline approximation

    Mat. Model., 10:4 (1998),  83–90
  100. Method of direct Laval nozzle problem solution for turbulent flows of chemical-reacting gases

    Mat. Model., 10:1 (1998),  51–62
  101. Mean square splines

    Mat. Model., 9:9 (1997),  107–116
  102. Precise method for calculation of viscous flows in Lavale nozzle

    Mat. Model., 9:7 (1997),  81–92
  103. Gradient descent with random steps

    Mat. Model., 9:7 (1997),  63–70
  104. Natural interpolate splines of arbitrary order

    Mat. Model., 9:6 (1997),  67–81
  105. Natural interpolation splines of arbitrary degree

    Dokl. Akad. Nauk, 351:6 (1996),  738–742
  106. An algorithm for payment transfers among business enterprises through banks

    Dokl. Akad. Nauk, 349:3 (1996),  299–301
  107. On vibration levels of diatomic molecules

    Dokl. Akad. Nauk, 348:4 (1996),  471–474
  108. The problem of canceling mutual debts of enterprises

    Dokl. Akad. Nauk, 343:1 (1995),  12–14
  109. Convergency of parabolic interpolative splines

    Mat. Model., 7:11 (1995),  77–94
  110. The best solution of nutual debts canceling problem

    Mat. Model., 7:6 (1995),  111–117
  111. Numerical methods of solution of stiff systems

    Mat. Model., 7:5 (1995),  8–11
  112. Burgers equation is a test for numerical methods

    Mat. Model., 7:4 (1995),  99–127
  113. On mutual debts canceling

    Mat. Model., 7:4 (1995),  64–72
  114. Optimal canceling of mutual debts

    Mat. Model., 7:1 (1995),  11–21
  115. Optimal scheme for ode solver ROS4

    Mat. Model., 6:11 (1994),  128–138
  116. Natural interpolate splines

    Mat. Model., 6:4 (1994),  77–114
  117. On extrapolation with nested grids

    Mat. Model., 6:1 (1994),  86–98
  118. Interpolation invariable on rotation

    Mat. Model., 4:7 (1992),  107–120
  119. Numerical methods for problems of chemical kinetics with diffusion

    Mat. Model., 4:1 (1992),  98–110
  120. Solving of partial differential equations by schemes with complex coefficients

    Mat. Model., 3:9 (1991),  114–127
  121. Models of statistic sums for atoms and molecules

    Mat. Model., 3:5 (1991),  49–60
  122. Natural parabolic interpolation splines

    Mat. Model., 1:11 (1989),  100–106
  123. Quasizonal equation of state

    Mat. Model., 1:2 (1989),  64–108
  124. Smooth approximation of Fermi–Dirac functions

    Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986),  461–465
  125. Models of extreme states of matter and their experimental verification

    UFN, 147:1 (1985),  184–187
  126. The optimal step and regularization for Newton's method

    Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  491–497
  127. Detonation-generated shock wave

    Prikl. Mekh. Tekh. Fiz., 21:2 (1980),  133–135
  128. Two-stage gradient descent

    Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980),  1040–1045
  129. Квазиклассическая модель атома

    TVT, 15:1 (1977),  186–188
  130. High-current radiating discharges in inert gases

    Dokl. Akad. Nauk SSSR, 226:5 (1976),  1045–1048
  131. Electrotechnical approximation for heavy-current radiating discharges

    Prikl. Mekh. Tekh. Fiz., 16:1 (1975),  41–44
  132. Interpolation formulas for Fermi–Dirac functions

    Zh. Vychisl. Mat. Mat. Fiz., 15:3 (1975),  768–771
  133. Calculation of one-dimensional quantum mechanical scattering

    Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  518–521
  134. A comparative study of difference schemes for the equations of acoustics

    Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  919–927
  135. A non-linear method for computing one-dimensional reactor critical parameters

    Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973),  500–503
  136. Calculation of two-dimensional flow from detonations

    Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1606–1611
  137. A computer method of computing ionization

    Zh. Vychisl. Mat. Mat. Fiz., 11:3 (1971),  782–783
  138. A numerical calculation of detonation

    Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  239–243
  139. An entropy scheme for a gas-dynamic calculations

    Zh. Vychisl. Mat. Mat. Fiz., 9:6 (1969),  1411–1413
  140. Проводимость низкотемпературной плазмы

    TVT, 6:5 (1968),  801–804
  141. A sweep for an infinite thermal conductivity

    Zh. Vychisl. Mat. Mat. Fiz., 8:3 (1968),  684–686
  142. The calculation of the Fermi–Dirac functions

    Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968),  173–175
  143. Численное интегрирование многомерного уравнения переноса

    Zh. Vychisl. Mat. Mat. Fiz., 6:supplement to № 4 (1966),  190–193
  144. Finding the solutions of constant sign of ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  162–163
  145. Solution of eigenvalue problems by the method of complemented vector

    Zh. Vychisl. Mat. Mat. Fiz., 5:6 (1965),  1107–1115
  146. Non-linear difference schemes for hyperbolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 5:5 (1965),  938–944

  147. In memory of V. Ya. Gol'din

    Mat. Model., 26:7 (2014),  147–148
  148. In memory of Yurii Aleksandrovich Romanov

    UFN, 181:11 (2011),  1235–1236
  149. In memory of Lev Vladimirovich Al'tshuler

    UFN, 174:3 (2004),  333–334
  150. Vitalii Efimovich Troshchiev (on his 70th birthday)

    Mat. Model., 13:11 (2001),  127
  151. Sobol' Il'ya Meerovich (on his 70th birthday)

    Mat. Model., 13:10 (2001),  125
  152. Sobol' Il'ya Meerovich (on the occasion of his seventieth birthday)

    Mat. Model., 8:12 (1996),  125–127
  153. The 70th anniversary of Vladimir Yakovlevich Gol'din

    Mat. Model., 6:7 (1994),  116–118
  154. The 75th anniversary of Aleksandr Andreevich Samarskij

    Mat. Model., 6:6 (1994),  139–142
  155. The 50th anniversary of Boris Nikolaevich Chetverushkin

    Mat. Model., 6:1 (1994),  110–111
  156. 4-е Всесоюзное совещание по физико-химическим свойствам вещества (ФХСВ-4)

    Mat. Model., 2:9 (1990),  155
  157. Computational physics and mathematical modelling

    Mat. Model., 1:3 (1989),  152–153
  158. Aleksandr Andreevich Samarskii (the 70th anniversary)

    Mat. Model., 1:2 (1989),  165–166
  159. Информация о работах по жестким системам дифференциальных уравнений

    Differ. Uravn., 19:10 (1983),  1831–1832

© Steklov Math. Inst. of RAS, 2026