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  1. 2025

  2. Study of the Bias in Monte Carlo N-Particle Estimates for Problems with Particle Interaction

    Mikhailov, G. A., Lotova, G. Z. & Rogasinsky, S. V., 10 Jan 2025, In: Doklady Mathematics. 110, 2, p. 416-420 5 p.

    Research output: Contribution to journal › Article › peer-review

  3. 2024

  4. Optimization of a Numerical-Statistical Algorithm for Estimating the Mean Particle Flow in a Bounded Random Medium with Multiplication

    Lotova, G. Z., Mikhailov, G. A. & Rozhenko, S. A., 25 Dec 2024, In: Computational Mathematics and Mathematical Physics. 64, 11, p. 2705-2715 11 p.

    Research output: Contribution to journal › Article › peer-review

  5. Efficiently Realized Approximate Models of Random Functions in Stochastic Problems of the Theory of Particle Transfer

    Mikhailov, G. A., Lotova, G. Z. & Medvedev, I. N., Jun 2024, In: Numerical Analysis and Applications. 17, 2, p. 152-168 17 p.

    Research output: Contribution to journal › Article › peer-review

  6. Study and Optimization of N-Particle Numerical Statistical Algorithm for Solving the Boltzmann Equation

    Lotova, G. Z., Mikhailov, G. A. & Rogasinsky, S. V., May 2024, In: Computational Mathematics and Mathematical Physics. 64, 5, p. 1065-1075 11 p.

    Research output: Contribution to journal › Article › peer-review

  7. New Computer Efficient Approximations of Random Functions for Solving Stochastic Transport Problems

    Mikhailov, G. A. & Medvedev, I. N., Feb 2024, In: Computational Mathematics and Mathematical Physics. 64, 2, p. 314-325 12 p.

    Research output: Contribution to journal › Article › peer-review

  8. 2023

  9. Investigation of Overexponential Growth of Mean Particle Flux with Multiplication in Random Medium

    Lotova, G. Z. & Mikhailov, G. A., Dec 2023, In: Numerical Analysis and Applications. 16, 4, p. 337-347 11 p.

    Research output: Contribution to journal › Article › peer-review

  10. Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium

    Михайлов, Г. А. & Лотова, Г. З., Dec 2023, In: Doklady Mathematics. 108, 3, p. 519-523 5 p.

    Research output: Contribution to journal › Article › peer-review

  11. Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method

    Lotova, G. Z. & Mikhailov, G. A., Sept 2023, In: Numerical Analysis and Applications. 16, 3, p. 229-235 7 p.

    Research output: Contribution to journal › Article › peer-review

  12. Статистическое моделирование. Методы Монте-Карло

    Михайлов, Г. А. & Войтишек, А. В., 2023, Москва: Юрайт. 323 p.

    Research output: Book/Report › Teaching manual › peer-review

  13. 2022

  14. Estimation of the average particle flux in a stochastically homogeneous medium by Monte Carlo method

    Lotova, G. Z. & Mikhailov, G. A., 1 Dec 2022, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 37, 6, p. 363-371 9 p.

    Research output: Contribution to journal › Article › peer-review

  15. Construction and optimization of numerically-statistical projection algorithms for solving integral equations

    Korda, A. S., Mikhailov, G. A. & Rogasinsky, S. V., 1 Aug 2022, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 37, 4, p. 213-219 7 p.

    Research output: Contribution to journal › Article › peer-review

  16. Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems

    Mikhailov, G. A., Korda, A. S. & Rogasinsky, S. V., Feb 2022, In: Doklady Mathematics. 105, 1, p. 35-38 4 p.

    Research output: Contribution to journal › Article › peer-review

  17. Construction of Effective Randomized Projective Estimates for Solutions of Integral Equations Based on Legendre Polynomials

    Mikhailov, G. A., Korda, A. S. & Rogasinsky, S. V., 2022, In: Doklady Mathematics. 106, 3, p. 475-478 4 p.

    Research output: Contribution to journal › Article › peer-review

  18. Статистическое моделирование. Методы Монте-Карло

    Михайлов, Г. А. & Войтишек, А. В., 2022, Москва: Юрайт. 323 p.

    Research output: Book/Report › Teaching manual › peer-review

  19. 2021

  20. International Conference «Marchuk Scientific Readings 2021» (MSR-2021)

    Mikhailov, G. A., Kabanikhin, S. I., Laevsky, Y. M., Penenko, V. V., Glinsky, B. M., Zagorulko, Y. A., Shishlenin, M. A., Podkolodnyy, N. L. & Penenko, A. V., 13 Dec 2021, In: Journal of Physics: Conference Series. 2099, 1, 011001.

    Research output: Contribution to journal › Editorial › peer-review

  21. Numerical-statistical study of the prognostic efficiency of the SEIR model

    Lotova, G. Z., Lukinov, V. L., Marchenko, M. A., Mikhailov, G. A. & Smirnov, D. D., 1 Dec 2021, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 36, 6, p. 337-345 9 p.

    Research output: Contribution to journal › Article › peer-review

  22. New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium

    Mikhailov, G. A. & Medvedev, I. N., 1 Aug 2021, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 36, 4, p. 219-225 7 p.

    Research output: Contribution to journal › Article › peer-review

  23. Numerical-Statistical and Analytical Study of Asymptotics for the Average Multiplication Particle Flow in a Random Medium

    Lotova, G. Z. & Mikhailov, G. A., Aug 2021, In: Computational Mathematics and Mathematical Physics. 61, 8, p. 1330-1338 9 p.

    Research output: Contribution to journal › Article › peer-review

  24. New Correlative Randomized Algorithm for Estimating the Influence of the Medium Stochasticity on Particle Transport

    Mikhailov, G. A. & Medvedev, I. N., May 2021, In: Doklady Mathematics. 103, 3, p. 143-145 3 p.

    Research output: Contribution to journal › Article › peer-review

  25. International conference «Marchuk scientific readings 2020» (MSR-2020), dedicated to the 95th anniversary of the birthday of Academician Guri I. Marchuk

    Mikhailov, G. A., Kabanikhin, S. I., Laevskii, Y. M., Penenko, V. V., Glinsky, B. M. & Penenko, A. V., 4 Jan 2021, In: Journal of Physics: Conference Series. 1715, 1, 011001.

    Research output: Contribution to journal › Editorial › peer-review

  26. Статистическое моделирование. Методы Монте-Карло

    Михайлов, Г. А. & Войтишек, А. В., 2021, Москва: Юрайт. 323 p.

    Research output: Book/Report › Teaching manual › peer-review

  27. 2020

  28. A new kernel-projective statistical estimator in the Monte Carlo method

    Mikhailov, G. A., Tracheva, N. V. & Ukhinov, S. A., 1 Dec 2020, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 35, 6, p. 341-353 13 p.

    Research output: Contribution to journal › Article › peer-review

  29. Numerically statistical investigation of the partly super-exponential growth rate in the COVID-19 pandemic (throughout the world)

    Lotova, G. Z. & Mikhailov, G. A., 1 Dec 2020, In: Journal of Inverse and Ill-Posed Problems. 28, 6, p. 877-879 3 p.

    Research output: Contribution to journal › Article › peer-review

  30. New Statistical Kernel-Projection Estimator in the Monte Carlo Method

    Mikhailov, G. A., Tracheva, N. V. & Ukhinov, S. A., 1 Jul 2020, In: Doklady Mathematics. 102, 1, p. 313-317 5 p.

    Research output: Contribution to journal › Article › peer-review

  31. Randomized exponential transformation algorithm for solving the stochastic problems of gamma-ray transport theory

    Medvedev, I. N. & Mikhailov, G. A., 1 Jun 2020, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 35, 3, p. 153-162 10 p.

    Research output: Contribution to journal › Article › peer-review

  32. The study of time dependence of particle flux with multiplication in a random medium

    Lotova, G. Z. & Mikhailov, G. A., 1 Feb 2020, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 35, 1, p. 11-20 10 p.

    Research output: Contribution to journal › Article › peer-review

  33. Monte Carlo Algorithms for Estimating Time Asymptotics of Multiplication Particle Flow in a Random Medium

    Mikhailov, G. A. & Lotova, G. Z., 1 Jan 2020, In: Doklady Mathematics. 101, 1, p. 40-42 3 p.

    Research output: Contribution to journal › Article › peer-review

  34. 2019

  35. Simulation of a random field with given distribution of one-dimensional integral

    Kablukova, E. G., Mikhailov, G. A., Ogorodnikov, V. A. & Prigarin, S. M., 1 Dec 2019, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 34, 6, p. 327-338 12 p.

    Research output: Contribution to journal › Article › peer-review

  36. Constructing a numerically statistical model of a homogeneous random field with a given distribution of the integral over one of the phase coordinates

    Mikhailov, G. A., Kablukova, E. G., Ogorodnikov, V. A. & Prigarin, S. M., Nov 2019, In: Doklady Mathematics. 100, 3, p. 529-532 4 p.

    Research output: Contribution to journal › Article › peer-review

  37. Improvement of Multidimensional Randomized Monte Carlo Algorithms with “Splitting”

    Mikhailov, G. A., 1 May 2019, In: Computational Mathematics and Mathematical Physics. 59, 5, p. 775-781 7 p.

    Research output: Contribution to journal › Article › peer-review

  38. Randomized Monte Carlo Algorithms for Problems with Random Parameters (“Double Randomization” Method)

    Mikhailov, G. A., 1 Apr 2019, In: Numerical Analysis and Applications. 12, 2, p. 155-165 11 p.

    Research output: Contribution to journal › Article › peer-review

  39. 2018

  40. Monte Carlo Methods for Estimating the Probability Distributions of Criticality Parameters of Particle Transport in a Randomly Perturbed Medium

    Mikhailov, G. A. & Lotova, G. Z., 1 Nov 2018, In: Computational Mathematics and Mathematical Physics. 58, 11, p. 1828-1837 10 p.

    Research output: Contribution to journal › Article › peer-review

  41. Monte Carlo Estimation of Functional Characteristics of Field Intensity of Radiation Passing through a Random Medium

    Ambos, A. Y. & Mikhailov, G. A., 1 Oct 2018, In: Numerical Analysis and Applications. 11, 4, p. 279-292 14 p.

    Research output: Contribution to journal › Article › peer-review

  42. Optimization of Randomized Monte Carlo Algorithms for Solving Problems with Random Parameters

    Mikhailov, G. A., 1 Sept 2018, In: Doklady Mathematics. 98, 2, p. 448-451 4 p.

    Research output: Contribution to journal › Article › peer-review

  43. Comparative analysis of vector algorithms for statistical modelling of polarized radiative transfer process

    Mikhailov, G. A., Prigarin, S. M. & Rozhenko, S. A., 28 Aug 2018, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 33, 4, p. 253-263 11 p.

    Research output: Contribution to journal › Article › peer-review

  44. Numerically statistical simulation of the intensity field of the radiation transmitted through a random medium

    Ambos, A. Y. & Mikhailov, G. A., 26 Jun 2018, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 33, 3, p. 161-171 11 p.

    Research output: Contribution to journal › Article › peer-review

  45. New monte carlo algorithm for evaluation of outgoing polarized radiation

    Mikhailov, G. A., Tracheva, N. V. & Ukhinov, S. A., 1 Jan 2018, Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. Pilz, J., Rasch, D., Melas, VB. & Moder, K. (eds.). Springer New York, Vol. 231. p. 115-125 11 p. (Springer Proceedings in Mathematics & Statistics; vol. 231).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  46. New Monte Carlo Algorithms for Estimating Probability Moments of Criticality Parameters for a Scattering Process with Multiplication in Stochastic Media

    Mikhailov, G. A. & Lotova, G. Z., 1 Jan 2018, In: Doklady Mathematics. 97, 1, p. 6-10 5 p.

    Research output: Contribution to journal › Article › peer-review

  47. 2017

  48. Modifications of the standard vector Monte Carlo estimate for characteristics analysis of scattered polarized radiation

    Mikhailov, G. A., Prigarin, S. M. & Rozhenko, S. A., 1 Sept 2017, In: Doklady Mathematics. 96, 2, p. 461-464 4 p.

    Research output: Contribution to journal › Article › peer-review

  49. New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media

    Ambos, A. Y., Lotova, G. & Mikhailov, G., 27 Jun 2017, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 32, 3, p. 165-172 8 p.

    Research output: Contribution to journal › Article › peer-review

  50. 2005

  51. Monte Carlo methods for solving the first boundary value problem for a polyharmonic equation

    Lukinov, V. L. & Mikhailov, G. A., 1 Mar 2005, In: Computational Mathematics and Mathematical Physics. 45, 3, p. 476-489 14 p.

    Research output: Contribution to journal › Article › peer-review

  52. 2004

  53. Probabilistic representation and Monte Carlo methods for the first boundary value problem for a polyharmonic equation

    Lukinov, VL. & Mikhailov, GA., 2004, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 19, 5, p. 433-448 16 p.

    Research output: Contribution to journal › Article › peer-review

  54. 2003

  55. Вероятностные представления и метод Монте-Карло для решения уравнений со степенями эллиптических операторов

    Mikhajlov, G. A. & Lukinov, V. L., 1 Jan 2003, In: Doklady Akademii Nauk. 390, 6, p. 740-743 4 p.

    Research output: Contribution to journal › Article › peer-review

  56. Probability representations and the Monte Carlo method for solving equations with powers of elliptic operators

    Mikhailov, GA. & Lukinov, VL., 2003, In: Doklady Mathematics. 67, 3, p. 423-425 3 p.

    Research output: Contribution to journal › Article › peer-review

  57. 2001

  58. Решение задачи Дирихле для разностного бигармонического уравнения методом Монте-Карло

    Mikhajlov, G. A. & Lukinov, V. L., 1 Dec 2001, In: Doklady Akademii Nauk. 379, 1, p. 24-28 5 p.

    Research output: Contribution to journal › Article › peer-review

ID: 3443097