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Skorokhodov, Sergey Leonidovich

Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 29
Presentations: 1

Number of views:
This page:1142
Abstract pages:8308
Full texts:4099
References:565
Senior Researcher
Candidate of physico-mathematical sciences (1985)
Birth date: 07.11.1955
E-mail: ,
Keywords: complex analysis, special functions.
UDC: 519.626, 519.651, 519.6:517.588, 519.632.4
MSC: 65N35, 33C20

Subject:

Computational and applied mathematics, complex analysis.

   
Main publications:
  • Skorokhodov S. L., Khristoforov D. V. Vychislenie tochek vetvleniya sobstvennykh znachenii, sootvetstvuyuschikh volnovym sferoidalnym funktsiyam // Zh. vychisl. matem. i matem. fiz. 2006. T. 46. N 7. C. 1195–1210.
  • Bogolyubskii A. I., Skorokhodov S. L. Bystroe vychislenie gipergeometricheskoi funktsii pFp-1 (a; b; z) v osoboi tochke z = 1 na osnove dzeta-funktsii Gurvitsa ζ(α, s) // Programmirovanie. 2006. N 3. S. 30–40.
  • Skorokhodov S. L. Tochki vetvleniya sobstvennykh znachenii operatora Orra–Zommerfelda // Dokl. Akad. nauk. 2007. T. 416. N 5. C. 600–605.
  • Skorokhodov S. L. Chislennyi analiz spektra zadachi Orra–Zommerfelda // Zh. vychisl. matem. i matem. fiz. 2007. T. 47. N 10. C. 1699–1718.
  • Skorokhodov S. L., Khristoforov D. V. Vychislenie tochek vetvleniya sobstvennykh znachenii kulonovskogo volnovogo sferoidalnogo uravneniya // Zh. vychisl. matem. i matem. fiz. 2007. T. 47. N 11. C. 1880–1897.
  • Skorokhodov S. L. Kvaziavtomodelnost sobstvennykh znachenii, sootvetstvuyuschikh volnovym sferoidalnym funktsiyam // Spectral and Evolution Problems: Proc. of the Sixteenth Crimean Autumn Math. School-Symposium (KROMSH-2005). Simferopol, 2006. Vol. 16. P. 100–111.
  • Skorokhodov S. L. Tochki vetvleniya sobstvennykh znachenii operatora Orra - Zommerfelda // International Scientific Journal "Spectral and Evolution Problems". Vol. 17. Simferopol, 2007. P. 84–92.

http://www.mathnet.ru/eng/person36279
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/205118

Publications in Math-Net.Ru
2020
1. V. I. Vlasov, S. L. Skorokhodov, “Analytical solution for the cavitating flow over a wedge. I”, Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2098–2121  mathnet  elib; Comput. Math. Math. Phys., 60:12 (2020), 2032–2055  isi  scopus
2. S. L. Skorokhodov, N. P. Kuzmina, “On the influence of the beta effect on the spectral characteristics of unstable perturbations of ocean currents”, Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1962–1974  mathnet  elib; Comput. Math. Math. Phys., 60:11 (2020), 1900–1912  isi  scopus
2019
3. S. L. Skorokhodov, N. P. Kuzmina, “Spectral analysis of model Couette flows in application to the ocean”, Zh. Vychisl. Mat. Mat. Fiz., 59:5 (2019),  867–888  mathnet  elib; Comput. Math. Math. Phys., 59:5 (2019), 815–835  isi  scopus
2018
4. S. L. Skorokhodov, N. P. Kuzmina, “Analytical-numerical method for solving an Orr–Sommerfeld-type problem for analysis of instability of ocean currents”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  1022–1039  mathnet  elib; Comput. Math. Math. Phys., 58:6 (2018), 976–992  isi  scopus
2017
5. S. L. Skorokhodov, “Computation of zeros of the alpha exponential function”, Zh. Vychisl. Mat. Mat. Fiz., 57:6 (2017),  907–920  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:6 (2017), 905–918  isi  scopus
2015
6. S. L. Skorokhodov, “Evaluation of eigenvalues and eigenfunctions of Coulomb spheroidal wave equation”, Matem. Mod., 27:7 (2015),  111–116  mathnet  mathscinet  elib
2007
7. S. L. Skorokhodov, D. V. Khristoforov, “Calculating the branch points of the eigenvalues of the Coulomb spheroidal wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007),  1880–1897  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 47:11 (2007), 1802–1818  scopus
8. S. L. Skorokhodov, “Numerical analysis of the spectrum of the Orr–Sommerfeld problem”, Zh. Vychisl. Mat. Mat. Fiz., 47:10 (2007),  1672–1691  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 47:10 (2007), 1603–1621  elib  scopus
2006
9. S. L. Skorokhodov, D. V. Khristoforov, “Calculation of the branch points of the eigenfunctions corresponding to wave spheroidal functions”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006),  1195–1210  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 46:7 (2006), 1132–1146  scopus
2005
10. A. I. Bogolyubskii, S. L. Skorokhodov, D. V. Khristoforov, “Fast computation of elliptic integrals and their generalizations”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  1938–1953  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:11 (2005), 1864–1878  elib
11. S. L. Skorokhodov, “A method for computing the generalized hypergeometric function $ _pF_{p-1}(a_1,…,a_p;b_1,…,b_{p-1};1)$ in terms of the riemann zeta function”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005),  574–586  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:4 (2005), 550–562  elib
2004
12. S. L. Skorokhodov, “Methods of analytical continuation of the generalized hypergeometric functions $ _pF_{p-1}(a_1,…,a_p;b_1,…,b_{p-1};z)$”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004),  1164–1186  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:7 (2004), 1102–1123
2003
13. S. L. Skorokhodov, “Padé approximation and numerical analysis for the Riemann $\zeta$-function”, Zh. Vychisl. Mat. Mat. Fiz., 43:9 (2003),  1330–1352  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:9 (2003), 1277–1298
2001
14. S. L. Skorokhodov, “A regularization technique for computing the hypergeometric function $F(a,b;c;z)$in the neighborhood of the singular points $z=1$ and $z=\infty$”, Zh. Vychisl. Mat. Mat. Fiz., 41:12 (2001),  1808–1832  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:12 (2001), 1718–1741
2000
15. V. I. Vlasov, S. L. Skorokhodov, “Multipole method for the Dirichlet problem on doubly connected domains of complex geometry: A general description of the method”, Zh. Vychisl. Mat. Mat. Fiz., 40:11 (2000),  1633–1647  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 40:11 (2000), 1567–1581
16. S. A. Markovskii, S. L. Skorokhodov, “Numerical simulation of shock waves with nonunique structure”, Zh. Vychisl. Mat. Mat. Fiz., 40:9 (2000),  1408–1415  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:9 (2000), 1350–1356
1994
17. V. I. Vlasov, S. L. Skorokhodov, “On the development of the Trefftz method”, Dokl. Akad. Nauk, 337:6 (1994),  713–717  mathnet  mathscinet  zmath; Dokl. Math., 50:1 (1995), 157–163
1990
18. M. K. Kerimov, S. L. Skorokhodov, “Some asymptotic formulae for cylindrical Bessel functions”, Zh. Vychisl. Mat. Mat. Fiz., 30:12 (1990),  1775–1784  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 126–133
1988
19. M. K. Kerimov, S. L. Skorokhodov, “Multiple complex zeros of the derivatives of cylindrical Bessel functions”, Dokl. Akad. Nauk SSSR, 299:3 (1988),  614–618  mathnet  mathscinet  zmath; Dokl. Math., 33:3 (1988), 196–198
1987
20. M. K. Kerimov, S. L. Skorokhodov, “On the calculation of the multiple complex roots of the derivatives of cylindrical Bessel functions”, Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1628–1639  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 18–25
1986
21. M. K. Kerimov, S. L. Skorokhodov, “Multiple zeros of derivatives of cylindrical Bessel functions”, Dokl. Akad. Nauk SSSR, 288:2 (1986),  285–288  mathnet  mathscinet  zmath
22. A. M. Berezman, M. K. Kerimov, S. L. Skorokhodov, G. A. Shadrin, “Calculation of eigenvalues of the Mathieu equation with a complex parameter”, Zh. Vychisl. Mat. Mat. Fiz., 26:9 (1986),  1350–1361  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:5 (1986), 48–55
1985
23. S. L. Skorokhodov, “Calculation of complex zeros of a modified Bessel function of the second kind”, Dokl. Akad. Nauk SSSR, 280:2 (1985),  296–299  mathnet  mathscinet  zmath
24. M. K. Kerimov, S. L. Skorokhodov, “Calculation of multiple zeros of derivatives of cylindrical Bessel functions $J_{\nu}(z)$ and $Y_{\nu}(z)$”, Zh. Vychisl. Mat. Mat. Fiz., 25:12 (1985),  1749–1760  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 101–107
25. M. K. Kerimov, S. L. Skorokhodov, “Investigation and reduction of the variance of weighted vector algorithms of the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1628–1643  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 26–36
26. M. K. Kerimov, S. L. Skorokhodov, “Calculation of complex zeros of the Bessel function of the second kind and its derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 25:10 (1985),  1457–1473  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:5 (1985), 117–128
1984
27. M. K. Kerimov, S. L. Skorokhodov, “Calculation of complex zeros of Bessel functions $J_\nu(Z)$ and $I_\nu(z)$ and their derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 24:10 (1984),  1497–1513  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:5 (1984), 131–141
28. M. K. Kerimov, S. L. Skorokhodov, “Calculation of complex zeros of a modified Bessel function of the second kind and its derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1150–1163  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 115–123
29. M. K. Kerimov, S. L. Skorokhodov, “Calculation of modified Bessel functions in the complex domain”, Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984),  650–664  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24 (1984), 15–24

1987
30. S. L. Skorokhodov, “Bifurcation: analysis, algorithms, applications. Ed. Кupper Т., Seуdel R., Troger H. Basel: Birkhäuser Verlag, 1987. VIII+359p. (Book review)”, Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1595  mathnet
31. A. M. Berezman, M. K. Kerimov, S. L. Skorokhodov, G. A. Shadrin, “Corrections: "Calculation of eigenvalues of the Mathieu equation with a complex parameter"”, Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987),  796  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 27:3 (1987), 102

Presentations in Math-Net.Ru
1. On the problem of cavern closure when an ideal fluid flows around an obstacle
S. L. Skorokhodov, V. I. Vlasov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 1, 2021 16:10   

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