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Found 46 Documents (Results 1–46)

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
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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).
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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
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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
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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
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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
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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).
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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
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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
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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
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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
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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).
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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).
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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
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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).
MSC:  60G60 60G55
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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
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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).
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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).
MSC:  60J80 65C05
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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
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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).
MSC:  78M31 78A45 65C05
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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).
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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).
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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
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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
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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
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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
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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
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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).
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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).
MSC:  60H35 60H10 65C30
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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
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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
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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).
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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
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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).
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