Abstract
We study some available methods for solving the stochastic problems on the basis of statistical testing procedure (the Monte Carlo method). In order to perform comparative analysis of the effectiveness of these methods, we solve several problems in the theory of technical systems with inaccurately specified and random parameters and characteristics.
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Yu. N. Belyakov, F. A. Kurmaev, and B. V. Batalov, Methods of Statistical Calculations of Microcircuits by Computers (Radio i Svyaz’, Moscow, 1985) [in Russian].
K. Gekher, Theory of Sensitivity and Tolerances of Electronic Circuits (Sov. Radio, Moscow, 1973) [in Russian].
N. S. Bakhvalov, Numerical Methods (Nauka, Moscow, 1973) [in Russian].
S. A. Nekrasov, “Efficient Interval and Bilateral Methods for Calculating Transients in Nonlinear Electric Circuits,” Izv. Vyssh. Uchebn. Zaved. Elektromekh. No. 3, 38–41 (2001).
S. A. Nekrasov, “Integration Methods for ODEs with Interval Data Based on the Maximum Principle and Their Application for Calculation of Electrical Circuits with Allowance for an Ineradicable Error,” Izv. Vyssh. Uchebn. Zaved. Elektromekh. No. 4, 18–22 (2001).
S. A. Nekrasov, “Interval and Two-Sided Optimization Methods for Electromagnets in the Case of Approximately Given Initial Data,” Izv. Vyssh. Uchebn. Zaved. Elektromekh. No. 2, 22–25 (2001).
S. A. Nekrasov, “Complex Computer Applications and Techniques for Solving Problems with the Inherent Errors and Synthesis of Optimal Characteristics of Materials and Design Parameters,” J. Siberian Federal Univ. Engineering and Technologies. 8 (7), 867–877 (2015).
D. V. Vasil’ev and O. Yu. Sabinin, Accelerated StatisticalModeling of Control Systems (Energoatomizdat, Leningrad, 1987) [in Russian].
V. N. Pugachov, Combined Methods for Determining the Probabilistic Characteristics (Sovet. Radio, Moscow, 1973) [in Russian].
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Original Russian Text © S.A. Nekrasov, 2017, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2017, Vol. XX, No. 2, pp. 50–58.
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Nekrasov, S.A. A method of accelerated statistical simulation and its application in the problems with inherent error. J. Appl. Ind. Math. 11, 244–251 (2017). https://doi.org/10.1134/S1990478917020107
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DOI: https://doi.org/10.1134/S1990478917020107