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Sobol', Il'ya Meerovich
Statistics Math-Net.Ru
Total publications: 57
Scientific articles: 54

Number of views:
This page:5897
Abstract pages:39371
Full texts:19651
References:829
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person22621
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/247751

Publications in Math-Net.Ru Citations
2017
1. I. M. Sobol, “On numerical methods for functions depending on a very large number of variables”, Matem. Mod., 29:2 (2017),  135–138  mathnet  elib; Math. Models Comput. Simul., 9:5 (2017), 598–600  scopus
2010
2. I. M. Sobol, “On derivative based global sensitivity criteria”, Matem. Mod., 22:12 (2010),  137–143  mathnet  mathscinet; Math. Models Comput. Simul., 3:4 (2011), 419–423  scopus 4
2007
3. I. M. Sobol', “Global sensitivity indices for the investigation of nonlinear mathematical models”, Matem. Mod., 19:11 (2007),  23–24  mathnet  mathscinet  zmath 33
2006
4. D. I. Asotskii, E. E. Myshetskaya, I. M. Sobol', “The average dimension of a multidimensional function for quasi-Monte Carlo estimates of an integral”, Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006),  2159–2165  mathnet  mathscinet; Comput. Math. Math. Phys., 46:12 (2006), 2061–2067  scopus 8
2005
5. I. M. Sobol', “Global sensitivity indices for the investigation of nonlinear mathematical models”, Matem. Mod., 17:9 (2005),  43–52  mathnet  mathscinet  zmath 18
6. D. I. Asotskii, I. M. Sobol', “On sequences of points for the evaluation of improper integrals by quasi-Monte Carlo methods”, Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005),  411–415  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:3 (2005), 394–398 3
2004
7. I. M. Sobol', E. E. Myshetskaya, “On the use of quasi-Monte Carlo in bootstrap estimates”, Matem. Mod., 16:2 (2004),  118–122  mathnet  zmath 1
2002
8. I. M. Sobol', E. E. Myshetskaya, “Convergence examples for discrete approximations to a multidimensional Pareto set”, Matem. Mod., 14:12 (2002),  48–54  mathnet  mathscinet  zmath 1
9. I. M. Sobol', “Range – a quantitative measure of irregularity of distribution”, Matem. Mod., 14:6 (2002),  119–127  mathnet  mathscinet  zmath 2
2001
10. N. B. Gorbacheva, I. M. Sobol', A. I. Trikuzov, “On variance reducing multipliers for Monte Carlo integration”, Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1310–1314  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:9 (2001), 1246–1250 3
1996
11. I. M. Sobol', “On the “freezing” of inessential variables”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  92–94  mathnet  mathscinet  zmath 1
1995
12. A. Saltelli, I. M. Sobol', “Sensitivity analysis for nonlinear mathematical models: numerical experience”, Matem. Mod., 7:11 (1995),  16–28  mathnet  mathscinet  zmath 3
1994
13. I. M. Sobol', S. V. Kartyshov, I. A. Kulchitskaya, Yu. L. Levitan, “Multicriteria optimization of the mathematical models”, Matem. Mod., 6:6 (1994),  85–93  mathnet  mathscinet  zmath 4
1993
14. I. M. Sobol', “Asymmetric convergence of approximations of the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 33:10 (1993),  1581–1587  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:10 (1993), 1391–1396  isi 2
1990
15. Yu. L. Levitan, I. M. Sobol', “On a pseudo-random number generator for personal computers”, Matem. Mod., 2:8 (1990),  119–126  mathnet  mathscinet  zmath 8
16. I. M. Sobol', “On sensitivity estimation for nonlinear mathematical models”, Matem. Mod., 2:1 (1990),  112–118  mathnet  mathscinet  zmath 21
1989
17. I. M. Sobol', “Quadrature formulae for functions of several variables satisfying a general Lipschitz condition”, Zh. Vychisl. Mat. Mat. Fiz., 29:6 (1989),  935–941  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:3 (1989), 201–206 7
1988
18. Yu. L. Levitan, N. I. Markovich, S. G. Rozin, I. M. Sobol', “On quasirandom sequences for numerical computations”, Zh. Vychisl. Mat. Mat. Fiz., 28:5 (1988),  755–759  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 88–92 15
19. I. M. Sobol', “Determination of the extremal values of a function of several variables satisfying a generalized Lipschitz condition”, Zh. Vychisl. Mat. Mat. Fiz., 28:4 (1988),  483–491  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:2 (1988), 112–118 8
1987
20. I. M. Sobol', “On functions, satisfying the Lipschitz condition, in multidimensional problems of numerical mathematics”, Dokl. Akad. Nauk SSSR, 293:6 (1987),  1314–1319  mathnet  mathscinet  zmath 2
21. A. G. Doroshkevich, I. M. Sobol', “Monte Carlo estimation of integrals occurring in the nonlinear theory of gravitational instability”, Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1577–1580  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 200–202 2
1986
22. I. M. Sobol', “Multicriterial interpretation of a regularization method for ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 26:6 (1986),  805–812  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:3 (1986), 100–104 1
1985
23. I. M. Sobol', “Modeling of a class of densities”, Zh. Vychisl. Mat. Mat. Fiz., 25:4 (1985),  627–631  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 197–199 1
1982
24. I. M. Sobol', “On an estimate of the accuracy of a simple multidimensional search”, Dokl. Akad. Nauk SSSR, 266:3 (1982),  569–572  mathnet  mathscinet  zmath 2
1979
25. G. P. Sobol', I. M. Sobol', “Hypergeometric functions and ordinary linear differential equations with exponential coefficients”, Differ. Uravn., 15:7 (1979),  1212–1215  mathnet  mathscinet  zmath 1
26. I. M. Sobol', Yu. A. Petrov, “The use of similar trajectories in Monte Carlo computations”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979),  238–242  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 246–252 1
1978
27. I. M. Sobol', “Weighted quadrature formulas”, Sibirsk. Mat. Zh., 19:5 (1978),  1196–1200  mathnet  mathscinet  zmath; Siberian Math. J., 19:5 (1978), 844–847  isi 3
28. I. M. Sobol', “Modeling of Compton scattering by relativistic electrons by the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 18:4 (1978),  1034–1037  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 18:4 (1978), 217–221 2
1977
29. I. I. Artobolevsky, V. I. Sergeev, I. M. Sobol', R. B. Statnikov, “Use of a computer in optimum machine design problems”, Dokl. Akad. Nauk SSSR, 233:4 (1977),  567–570  mathnet  mathscinet  zmath 1
30. I. M. Sobol', “Best uniformly distributed sequences”, Uspekhi Mat. Nauk, 32:2(194) (1977),  231–232  mathnet  mathscinet  zmath 1
1976
31. I. M. Sobol', “Uniformly distributed sequences with an additional property of uniformity”, Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976),  1332–1337  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:5 (1976), 236–242 540
1974
32. I. M. Sobol', “Pseudo-random numbers for constructing discrete Markov chains by the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  36–44  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 36–45 9
1973
33. I. M. Sobol', “Calculation of improper integrals using uniformly distributed sequences”, Dokl. Akad. Nauk SSSR, 210:2 (1973),  278–281  mathnet  mathscinet  zmath 2
34. I. M. Sobol', R. B. Statnikov, N. F. Ovchinnikova, “Locating the eigenvalues of a matrix”, Zh. Vychisl. Mat. Mat. Fiz., 13:6 (1973),  1581–1583  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:6 (1973), 255–258 2
35. I. M. Sobol', “Probability estimate of the integration error for $\Pi_\tau$-nets”, Zh. Vychisl. Mat. Mat. Fiz., 13:4 (1973),  1035–1037  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:4 (1973), 259–262 2
1971
36. I. I. Artobolevsky, M. D. Genkin, V. K. Grinkevich, I. M. Sobol', R. B. Statnikov, “Optimization in the theory of machines by LP-search”, Dokl. Akad. Nauk SSSR, 200:6 (1971),  1287–1290  mathnet  zmath 1
37. V. A. German, I. M. Sobol', “The use of constant density surfaces for generating multivariate random variables”, Zh. Vychisl. Mat. Mat. Fiz., 11:3 (1971),  789–791  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:3 (1971), 323–326 2
1967
38. I. M. Sobol', “The use of Haar's series for an estimate of the error in the evaluation of infinite-dimensional integrals”, Dokl. Akad. Nauk SSSR, 175:1 (1967),  34–37  mathnet  mathscinet  zmath 1
39. I. M. Sobol', “On the distribution of points in a cube and the approximate evaluation of integrals”, Zh. Vychisl. Mat. Mat. Fiz., 7:4 (1967),  784–802  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:4 (1967), 86–112 1496
1966
40. I. M. Sobol', “Distribution of points in a cube and integration nets”, Uspekhi Mat. Nauk, 21:5(131) (1966),  271–272  mathnet  mathscinet 5
41. I. M. Sobol', “An integral occurring in the theory of quadrature formulae”, Zh. Vychisl. Mat. Mat. Fiz., 6:6 (1966),  1084–1089  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:6 (1966), 189–196 1
1964
42. I. M. Sobol', “Periods of Pseudo-Random Sequences”, Teor. Veroyatnost. i Primenen., 9:2 (1964),  367–373  mathnet  mathscinet  zmath; Theory Probab. Appl., 9:2 (1964), 333–338 7
1963
43. A. A. Samarskii, I. M. Sobol', “Examples of numerical calculation of temperature waves”, Zh. Vychisl. Mat. Mat. Fiz., 3:4 (1963),  702–719  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 3:4 (1963), 945–970 40
1962
44. I. M. Sobol', “The use of ω2-distribution for error estimation in the calculation of integrals by the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 2:4 (1962),  717–723  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 2:4 (1963), 808–816 6
1961
45. I. M. Sobol', “Evaluation of multiple integrals”, Dokl. Akad. Nauk SSSR, 139:4 (1961),  821–823  mathnet  mathscinet  zmath 2
46. I. M. Sobol', “On the evaluation of infinite-dimensional integrals”, Zh. Vychisl. Mat. Mat. Fiz., 1:5 (1961),  917–922  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 1:4 (1962), 1086–1091 3
47. I. M. Sobol', “An exact estimate of the error in multidimensional quadrature formulae for functions of the classes $\widetilde W_1$ and $\widetilde H_1$”, Zh. Vychisl. Mat. Mat. Fiz., 1:2 (1961),  208–216  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 1:2 (1962), 228–240 2
1960
48. I. M. Sobol', “Accurate estimate of the error of multidimensional quadrature formulas for functions of class $S_p$”, Dokl. Akad. Nauk SSSR, 132:5 (1960),  1041–1044  mathnet  mathscinet  zmath 4
49. I. M. Sobol', “On the Solution of Peierl’s Integral Equation by the Monte Carlo Method”, Teor. Veroyatnost. i Primenen., 5:3 (1960),  361–366  mathnet; Theory Probab. Appl., 5:3 (1960), 326–331 1
1958
50. I. M. Sobol', “Pseudo-Random Numbers for the Machine “Strela””, Teor. Veroyatnost. i Primenen., 3:2 (1958),  205–211  mathnet; Theory Probab. Appl., 3:2 (1958), 192–197 6
1957
51. I. M. Sobol', “Multidimensional integrals and the Monte Carlo method”, Dokl. Akad. Nauk SSSR, 114:4 (1957),  706–709  mathnet  mathscinet  zmath 2
52. I. M. Sobol', “On an iterative method for calculation of eigenvalues”, Uspekhi Mat. Nauk, 12:3(75) (1957),  377–380  mathnet  mathscinet  zmath 1
1956
53. I. M. Sobol', “Positive solutions of linear differential equations with retardation”, Uch. Zap. Mosk. Gos. Univ., 181 (1956),  45–56  mathnet  mathscinet 1
1951
54. I. M. Sobol', “Investigation with the aid of polar coordinates of the asymptotic behavior of solutions of a linear differential equation of the second order”, Mat. Sb. (N.S.), 28(70):3 (1951),  707–714  mathnet  mathscinet  zmath 4
2008
55. I. M. Sobol', “Letter to the editorial board”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008),  536  mathnet  mathscinet; Comput. Math. Math. Phys., 48:3 (2008), 507  isi  scopus
1965
56. I. M. Sobol', “A. Kneschke. Differentialgleichungen und Randwertprobleme. Lehrbuch für Naturwissenschaftler und Ingenieure. Bd. 1. Geẅohnliche Differentialgleichungen. Berlin, 1960. 540 S. Bd. 2. Partielle Differentialgleichungen. Leipzig, 1961, 682 S. Bd. 3. Anwendungen der Differentialgleichungen. Leipzig, 1962, 478 S. Teubner. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 5:3 (1965),  582–584  mathnet
1960
57. I. M. Sobol', “Functions of many variables with rapidly convergent Haar series”, Dokl. Akad. Nauk SSSR, 132:4 (1960),  773–776  mathnet  mathscinet  zmath 1

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