Mikhailov, G. A.; Korda, A. S.; Rogasinsky, S. V. Construction of effective randomized projective estimates for solutions of integral equations based on Legendre polynomials. (English. Russian original) Zbl 07675143 Dokl. Math. 106, No. 3, 475-478 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 81-85 (2022). MSC: 65Cxx 65-XX 65Dxx PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 106, No. 3, 475--478 (2022; Zbl 07675143); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 81--85 (2022) Full Text: DOI
Mikhailov, G. A.; Korda, A. S.; Rogasinsky, S. V. Comparative analysis of numerical-statistical projection algorithms for solving transfer theory problems. (English. Russian original) Zbl 1506.35233 Dokl. Math. 105, No. 1, 35-38 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 42-45 (2022). MSC: 35Q82 82M31 65C05 60J22 33C45 82C70 65K10 35R60 PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 105, No. 1, 35--38 (2022; Zbl 1506.35233); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 42--45 (2022) Full Text: DOI
Mikhailov, G. A.; Medvedev, I. N. New correlative randomized algorithm for estimating the influence of the medium stochasticity on particle transport. (English. Russian original) Zbl 1482.65011 Dokl. Math. 103, No. 3, 143-145 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 55-58 (2021). MSC: 65C30 65Z05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{I. N. Medvedev}, Dokl. Math. 103, No. 3, 143--145 (2021; Zbl 1482.65011); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 55--58 (2021) Full Text: DOI
Mikhailov, G. A.; Tracheva, N. V.; Ukhinov, S. A. New statistical kernel-projection estimator in the Monte Carlo method. (English. Russian original) Zbl 07424618 Dokl. Math. 102, No. 1, 313-317 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 62-67 (2020). MSC: 65-XX 62-XX PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 102, No. 1, 313--317 (2020; Zbl 07424618); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 62--67 (2020) Full Text: DOI
Mikhailov, G. A.; Lotova, G. Z. Monte Carlo algorithms for estimating time asymptotics of multiplication particle flow in a random medium. (English. Russian original) Zbl 07424547 Dokl. Math. 101, No. 1, 40-42 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 47-50 (2020). MSC: 65C05 62G07 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{G. Z. Lotova}, Dokl. Math. 101, No. 1, 40--42 (2020; Zbl 07424547); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 47--50 (2020) Full Text: DOI
Mikhailov, G. A.; Kablukova, E. G.; Ogorodnikov, V. A.; Prigarin, S. M. Constructing a numerically statistical model of a homogeneous random field with a given distribution of the integral over one of the phase coordinates. (English. Russian original) Zbl 1443.60050 Dokl. Math. 100, No. 3, 529-532 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 2, 131-135 (2019). MSC: 60G60 PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 100, No. 3, 529--532 (2019; Zbl 1443.60050); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 2, 131--135 (2019) Full Text: DOI
Mikhailov, G. A. Optimization of randomized Monte Carlo algorithms for solving problems with random parameters. (English. Russian original) Zbl 07002192 Dokl. Math. 98, No. 2, 448-451 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 3, 254-258 (2018). MSC: 65-XX 62-XX PDFBibTeX XMLCite \textit{G. A. Mikhailov}, Dokl. Math. 98, No. 2, 448--451 (2018; Zbl 07002192); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 3, 254--258 (2018) Full Text: DOI
Mikhailov, G. A.; Lotova, G. Z. New Monte Carlo algorithms for estimating probability moments of criticality parameters for a scattering process with multiplication in stochastic media. (English. Russian original) Zbl 1480.65307 Dokl. Math. 97, No. 1, 6-10 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 1, 12-16 (2018). Reviewer: Mohammed Kaabar (Gelugor) MSC: 65M75 65C30 35R60 35R09 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{G. Z. Lotova}, Dokl. Math. 97, No. 1, 6--10 (2018; Zbl 1480.65307); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 1, 12--16 (2018) Full Text: DOI
Mikhailov, G. A.; Prigarin, S. M.; Rozhenko, S. A. Modifications of the standard vector Monte Carlo estimate for characteristics analysis of scattered polarized radiation. (English. Russian original) Zbl 1392.62353 Dokl. Math. 96, No. 2, 461-464 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 3, 264-268 (2017). MSC: 62P35 62F10 81U20 PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 96, No. 2, 461--464 (2017; Zbl 1392.62353); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 3, 264--268 (2017) Full Text: DOI
Mikhailov, G. A.; Ambos, A. Yu. New computational model of an isotropic “broken” exponentially correlated random field. (English. Russian original) Zbl 1352.60071 Dokl. Math. 94, No. 1, 411-414 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 3, 283-286 (2016). MSC: 60G60 65C20 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{A. Yu. Ambos}, Dokl. Math. 94, No. 1, 411--414 (2016; Zbl 1352.60071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 3, 283--286 (2016) Full Text: DOI
Mikhailov, G. A.; Rogazinskii, S. V. Weighted modification of direct statistical modeling with randomized branching for approximate solution of a kinetic equation. (English. Russian original) Zbl 1388.82024 Dokl. Math. 92, No. 3, 677-681 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 2, 145-149 (2015). MSC: 82C40 60K35 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{S. V. Rogazinskii}, Dokl. Math. 92, No. 3, 677--681 (2015; Zbl 1388.82024); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 2, 145--149 (2015) Full Text: DOI
Mikhailov, G. A.; Tracheva, N. V.; Ukhinov, S. A. A new Monte Carlo algorithm for estimating the angular distribution of scattered polarized radiation based on orthogonal expansion. (English. Russian original) Zbl 1335.78005 Dokl. Math. 92, No. 2, 572-576 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 4, 401-405 (2015). MSC: 78M31 78A45 PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 92, No. 2, 572--576 (2015; Zbl 1335.78005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 4, 401--405 (2015) Full Text: DOI
Mikhailov, G. A.; Lotova, G. Z. On the choice of the time step and the probability of collision in numerical statistical modeling of particle transfer with an acceleration by an external force field. (English. Russian original) Zbl 1308.82058 Dokl. Math. 90, No. 2, 642-645 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 272-275 (2014). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82C22 82C40 78A35 65C20 68W10 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{G. Z. Lotova}, Dokl. Math. 90, No. 2, 642--645 (2014; Zbl 1308.82058); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 272--275 (2014) Full Text: DOI
Mikhailov, G. A.; Lotova, G. Z. A numerical-statistical estimate for a particle flux with finite variance. (English. Russian summary) Zbl 1417.65025 Dokl. Math. 86, No. 3, 743-746 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 1, 18-21 (2012). MSC: 65C35 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{G. Z. Lotova}, Dokl. Math. 86, No. 3, 743--746 (2012; Zbl 1417.65025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 1, 18--21 (2012) Full Text: DOI
Mikhailov, G. A.; Rozhenko, S. A. Minimax optimization of the numerical-statistical similar trajectory method. (English. Russian original) Zbl 1260.49041 Dokl. Math. 86, No. 2, 605-607 (2012); translation from Dokl. Akad. Nauk. 446, No. 1, 15-17 (2012). Reviewer: Armin Hoffmann (Ilmenau) MSC: 49K35 65C05 62E17 62G07 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{S. A. Rozhenko}, Dokl. Math. 86, No. 2, 605--607 (2012; Zbl 1260.49041); translation from Dokl. Akad. Nauk. 446, No. 1, 15--17 (2012) Full Text: DOI
Mikhailov, G. A.; Rogazinskii, S. V. The modified majorant frequency method for numerical simulation of the generalized exponential distribution. (English. Russian original) Zbl 1255.65030 Dokl. Math. 85, No. 3, 325-327 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 1, 28-30 (2012). MSC: 65C60 62E15 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{S. V. Rogazinskii}, Dokl. Math. 85, No. 3, 325--327 (2012; Zbl 1255.65030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 1, 28--30 (2012) Full Text: DOI
Mikhailov, G. A. Numerically implementable models of exponentially correlated random fields and stochastic problems of particle transport. (English. Russian original) Zbl 1243.60044 Dokl. Math. 84, No. 1, 535-538 (2011); translation from Dokl. Akad. Nauk 439, No. 5, 593-596 (2011). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 60G60 60G55 PDFBibTeX XMLCite \textit{G. A. Mikhailov}, Dokl. Math. 84, No. 1, 535--538 (2011; Zbl 1243.60044); translation from Dokl. Akad. Nauk 439, No. 5, 593--596 (2011) Full Text: DOI
Mikhailov, G. A.; Ukhinov, S. A. Dual representation of the mean square of the Monte Carlo vector estimator. (English. Russian original) Zbl 05998418 Dokl. Math. 83, No. 3, 386-388 (2011); translation from Dokl. Akad. Nauk 438, No. 5, 606-608 (2011). MSC: 62-XX PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{S. A. Ukhinov}, Dokl. Math. 83, No. 3, 386--388 (2011; Zbl 05998418); translation from Dokl. Akad. Nauk 438, No. 5, 606--608 (2011) Full Text: DOI
Mikhailov, G. A.; Averina, T. A. Statistical modeling of inhomogeneous random functions on the basis of Poisson point fields. (English. Russian original) Zbl 1210.65017 Dokl. Math. 82, No. 2, 701-704 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 1, 29-32 (2010). MSC: 65C50 60G55 60G60 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{T. A. Averina}, Dokl. Math. 82, No. 2, 701--704 (2010; Zbl 1210.65017); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 1, 29--32 (2010) Full Text: DOI
Mikhailov, G. A.; Averina, T. A. Erratum to: “The maximal section algorithm in the Monte Carlo method”. (English) Zbl 1206.65016 Dokl. Math. 81, No. 1, 168 (2010). MSC: 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{T. A. Averina}, Dokl. Math. 81, No. 1, 168 (2010; Zbl 1206.65016) Full Text: DOI
Mikhailov, G. A.; Medvedev, I. N. Mean-square optimization for global Monte Carlo algorithms. (English. Russian original) Zbl 1276.65001 Dokl. Math. 82, No. 1, 514-518 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 1, 16-20 (2010). MSC: 65C05 65R20 45B05 45A05 65C40 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{I. N. Medvedev}, Dokl. Math. 82, No. 1, 514--518 (2010; Zbl 1276.65001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 1, 16--20 (2010) Full Text: DOI
Mikhaĭlov, G. A.; Medvedev, I. N. Improvement of weight computational statistical modeling via the transition to a subcritical Galton-Watson process. (English. Russian original) Zbl 1281.60071 Dokl. Math. 79, No. 1, 59-62 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 3, 311-314 (2009). Reviewer: Zenghu Li (Beijing) MSC: 60J80 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhaĭlov} and \textit{I. N. Medvedev}, Dokl. Math. 79, No. 1, 59--62 (2009; Zbl 1281.60071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 3, 311--314 (2009) Full Text: DOI
Mikhailov, G. A.; Averina, T. A. The maximal section algorithm in the Monte Carlo method. (English. Russian original) Zbl 1181.65011 Dokl. Math. 80, No. 2, 671-673 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 163-165 (2009); erratum Dokl. Math. 81, No. 1, 168 (2010). MSC: 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{T. A. Averina}, Dokl. Math. 80, No. 2, 671--673 (2009; Zbl 1181.65011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 163--165 (2009); erratum Dokl. Math. 81, No. 1, 168 (2009) Full Text: DOI
Mikhailov, G. A.; Ukhinov, S. A.; Chimaeva, A. S. Monte Carlo algorithms for reconstructing the scattering phase function with allowance for polarization. (English. Russian original) Zbl 1221.78052 Dokl. Math. 78, No. 3, 839-842 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 2, 161-164 (2008). Reviewer: Ömer Kavaklioglu (Washington) MSC: 78M31 78A45 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 78, No. 3, 839--842 (2008; Zbl 1221.78052); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 2, 161--164 (2008) Full Text: DOI
Mikhailov, G. A. Weighted Monte Carlo algorithms with branching corresponding member of the RAS. (English. Russian original) Zbl 1161.65004 Dokl. Math. 77, No. 3, 342-344 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 1, 24-26 (2008). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C40 65R20 35J25 60J22 PDFBibTeX XMLCite \textit{G. A. Mikhailov}, Dokl. Math. 77, No. 3, 342--344 (2008; Zbl 1161.65004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 1, 24--26 (2008) Full Text: DOI
Mikhailov, G. A.; Korotchenko, M. A.; Rogasinsky, S. V. Importance modeling algorithms for solving nonlinear kinetic equations. (English. Russian original) Zbl 1154.82025 Dokl. Math. 76, No. 1, 502-505 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 415, No. 1, 26-30 (2007). MSC: 82C40 82C22 76P05 82D60 82C31 60J25 PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 76, No. 1, 502--505 (2007; Zbl 1154.82025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 415, No. 1, 26--30 (2007) Full Text: DOI
Mikhailov, G. A.; Tracheva, N. V.; Ukhinov, S. A. A study of the asymptotic behavior of the intensity of a polarized radiation by the Monte Carlo method. (English. Russian original) Zbl 1154.78010 Dokl. Math. 75, No. 3, 431-435 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 6, 727-731 (2007). MSC: 78M35 PDFBibTeX XMLCite \textit{G. A. Mikhailov} et al., Dokl. Math. 75, No. 3, 431--435 (2007; Zbl 1154.78010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 6, 727--731 (2007) Full Text: DOI
Mikhailov, G. A.; Medvedev, I. N. A method for studying the variance of weight estimates in numerical statistical modeling. (English. Russian original) Zbl 1155.65305 Dokl. Math. 73, No. 1, 23-26 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 406, No. 2, 156-159 (2006). MSC: 65C60 62J10 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{I. N. Medvedev}, Dokl. Math. 73, No. 1, 23--26 (2006; Zbl 1155.65305); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 406, No. 2, 156--159 (2006) Full Text: DOI
Mikhaĭlov, G. A.; Medvedev, I. N. The effectiveness of importance modeling in the Monte Carlo method. (English. Russian original) Zbl 1272.65006 Dokl. Math. 71, No. 2, 172-176 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 401, No. 1, 16-20 (2005). MSC: 65C05 70K55 PDFBibTeX XMLCite \textit{G. A. Mikhaĭlov} and \textit{I. N. Medvedev}, Dokl. Math. 71, No. 2, 172--176 (2005; Zbl 1272.65006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 401, No. 1, 16--20 (2005)
Mikhaĭlov, G. A.; Lotova, G. Z. The Monte Carlo method and a simple probabilistic model for studying fluctuations of critical parameter values in the radiation transfer process. (English. Russian original) Zbl 1282.82034 Dokl. Math. 69, No. 2, 167-170 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 1, 22-25 (2004). MSC: 82C80 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhaĭlov} and \textit{G. Z. Lotova}, Dokl. Math. 69, No. 2, 167--170 (2004; Zbl 1282.82034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 1, 22--25 (2004)
Mikhailov, G. A.; Lukinov, V. L. Probability representations and the Monte Carlo method for solving equations with powers of elliptic operators. (English. Russian original) Zbl 1282.35150 Dokl. Math. 67, No. 3, 423-425 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 6, 740-742 (2003). MSC: 35J25 35C05 60J05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{V. L. Lukinov}, Dokl. Math. 67, No. 3, 423--425 (2003; Zbl 1282.35150); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 6, 740--742 (2003)
Mikhailov, G. A. Construction of weighted Monte Carlo methods via an increase in the phase space dimension. (English. Russian original) Zbl 1246.65005 Dokl. Math. 67, No. 2, 230-233 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 389, No. 4, 461-464 (2003). MSC: 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhailov}, Dokl. Math. 67, No. 2, 230--233 (2003; Zbl 1246.65005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 389, No. 4, 461--464 (2003)
Mikhailov, G. A.; Burmistrov, A. V. The weight Monte Carlo method for estimating derivatives of the solution to the adjoint diffusion equation. (English. Russian original) Zbl 1223.65004 Dokl. Math. 66, No. 2, 168-171 (2002); translation from Dokl. Akad. Nauk 386, No. 1, 18-21 (2002). MSC: 65C05 35J25 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{A. V. Burmistrov}, Dokl. Math. 66, No. 2, 168--171 (2002; Zbl 1223.65004); translation from Dokl. Akad. Nauk 386, No. 1, 18--21 (2002)
Mikhailov, G. A.; Rogazinskii, S. V. Weight Monte Carlo methods for solving multiparticle problems related to the Boltzmann equation. (English. Russian original) Zbl 1197.82104 Dokl. Math. 65, No. 2, 272-275 (2002); translation from Dokl. Akad. Nauk 383, No. 6, 731-734 (2002). MSC: 82C80 65C35 35F20 76P05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{S. V. Rogazinskii}, Dokl. Math. 65, No. 2, 272--275 (2002; Zbl 1197.82104); translation from Dokl. Akad. Nauk 383, No. 6, 731--734 (2002)
Mikhailov, G. A.; Lukinov, V. L. Solution of the Dirichlet problem for the difference biharmonic equation by the Monte Carlo method. (English. Russian original) Zbl 1046.65004 Dokl. Math. 64, No. 1, 18-21 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 379, No. 1, 24-27 (2001). MSC: 65C05 65N06 35J40 31B30 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{V. L. Lukinov}, Dokl. Math. 64, No. 1, 24--27 (2001; Zbl 1046.65004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 379, No. 1, 24--27 (2001)
Mikhajlov, G. A.; Marchenko, M. A. [Mikhailov, G. A.] The use of importance sampling in the solution of stochastic differential equations. (English. Russian original) Zbl 1056.60066 Dokl. Math. 64, No. 2, 169-172 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 380, No. 2, 164-167 (2001). Reviewer: Evelyn Buckwar (Berlin) MSC: 60H35 60H10 65C30 PDFBibTeX XMLCite \textit{G. A. Mikhajlov} and \textit{M. A. Marchenko}, Dokl. Math. 64, No. 2, 164--167 (2001; Zbl 1056.60066); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 380, No. 2, 164--167 (2001)
Mikhailov, G. A.; Burmistrov, A. V. Solution of the stationary diffusion equation by the Monte Carlo method with computation of the derivatives. (English. Russian original) Zbl 1045.65003 Dokl. Math. 61, No. 3, 426-429 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 6, 736-739 (2000). MSC: 65C05 35J25 65N38 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{A. V. Burmistrov}, Dokl. Math. 61, No. 3, 736--739 (2000; Zbl 1045.65003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 6, 736--739 (2000)
Mikhailov, G. A.; Lotova, G. Z. New Monte Carlo methods for solving nonstationary problems in radiation transfer theory. (English. Russian original) Zbl 1045.65004 Dokl. Math. 61, No. 3, 393-396 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 4, 459-462 (2000). MSC: 65C05 82C70 65C40 85A25 82C80 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{G. Z. Lotova}, Dokl. Math. 61, No. 3, 459--462 (2000; Zbl 1045.65004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 4, 459--462 (2000)
Mikhajlov, G. A.; Burmistrov, A. V. A time estimator in the Monte Carlo method. (English. Russian original) Zbl 1040.60068 Dokl. Math. 60, No. 1, 3-6 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 1, 7-10 (1999). MSC: 60J60 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhajlov} and \textit{A. V. Burmistrov}, Dokl. Math. 60, No. 1, 7--10 (1999; Zbl 1040.60068); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 1, 7--10 (1999)
Mikhajlov, G. A.; Makarov, R. N. Estimates for the eigenvalues of the operator \(\Delta+c(r)\) by calculating parametric derivatives by the Monte Carlo method. (English. Russian original) Zbl 0960.65004 Dokl. Math. 58, No. 2, 260-263 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 362, No. 5, 598-601 (1998). MSC: 65C05 65N25 35P15 35J25 PDFBibTeX XMLCite \textit{G. A. Mikhajlov} and \textit{R. N. Makarov}, Dokl. Math. 58, No. 2, 598--601 (1998; Zbl 0960.65004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 362, No. 5, 598--601 (1998)
Mikhajlov, G. A. A new approach to construction and substantiation of free path estimates in the Monte Carlo method. (English. Russian original) Zbl 0959.65013 Dokl. Math. 57, No. 1, 16-19 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 1, 22-25 (1998). MSC: 65C40 45B05 85A25 60J22 65R20 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhajlov}, Dokl. Math. 57, No. 1, 22--25 (1998; Zbl 0959.65013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 1, 22--25 (1998)
Mikhailov, G. A.; Makarov, R. N. Solving boundary-value problems by the method of “walk over spheres” with reflection from the boundary. (English. Russian original) Zbl 0963.65500 Dokl. Math. 55, No. 2, 263-265 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 6, 720-722 (1997). MSC: 65C05 35J05 65N38 PDFBibTeX XML
Mikhajlov, G. A.; Lotova, G. Z. Estimates of the probability moments of critical values of parameters of the transfer equation for particles in a stochastic medium. (English. Russian original) Zbl 1050.82549 Dokl. Math. 56, No. 2, 679-682 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 2, 166-169 (1997). MSC: 82C70 PDFBibTeX XMLCite \textit{G. A. Mikhajlov} and \textit{G. Z. Lotova}, Dokl. Math. 56, No. 2, 166--169 (1997; Zbl 1050.82549); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 2, 166--169 (1997)
Mikhailov, G. A.; Men’shchikov, B. V. A solution to the Helmholtz equation with a complex parameter and realization of the Fourier transform by the Monte Carlo method. (English. Russian original) Zbl 0893.65064 Dokl. Math. 54, No. 1, 497-499 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 1, 17-19 (1996). MSC: 65Z05 60H30 35J05 65C05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{B. V. Men'shchikov}, Dokl. Math. 54, No. 1, 497--499 (1996; Zbl 0893.65064); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 1, 17--19 (1996)
Mikhailov, G. A.; Antipov, M. V. Estimates of nonuniformity of distributions of congruent sums of random variables. (English. Russian original) Zbl 0892.60019 Dokl. Math. 53, No. 2, 171-173 (1996); translation from Dokl. Akad. Nauk 347, No. 1, 23-26 (1996). Reviewer: N.Curteanu (Iaşi) MSC: 60E05 PDFBibTeX XMLCite \textit{G. A. Mikhailov} and \textit{M. V. Antipov}, Dokl. Math. 53, No. 2, 171--173 (1996; Zbl 0892.60019); translation from Dokl. Akad. Nauk 347, No. 1, 23--26 (1996)
Mikhailov, G. A. Unbiasedness and variance of the standard estimate in the Monte Carlo method. (English. Russian original) Zbl 0875.65112 Dokl. Math. 52, No. 1, 40-42 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 3, 306-308 (1995). MSC: 65R20 65C05 45B05 PDFBibTeX XMLCite \textit{G. A. Mikhailov}, Dokl. Math. 52, No. 1, 40--42 (1995; Zbl 0875.65112); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 3, 306--308 (1995)