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Skorokhodov, Sergey Leonidovich

Statistics Math-Net.Ru
Total publications: 36
Scientific articles: 34
Presentations: 2

Number of views:
This page:1907
Abstract pages:12607
Full texts:8097
References:1072
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.

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https://mathscinet.ams.org/mathscinet/MRAuthorID/205118
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https://www.researchgate.net/profile/Sergey-Skorokhodov-2

Publications in Math-Net.Ru Citations
2023
1. S. L. Skorokhodov, “Conformal mapping of a $\mathbb{Z}$-shaped domain”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023),  2131–2154  mathnet  elib; Comput. Math. Math. Phys., 63:12 (2023), 2451–2473
2022
2. S. L. Skorokhodov, N. P. Kuzmina, “Analytical-numerical method for analyzing small perturbations of geostrophic ocean currents with a general parabolic vertical profile of velocity”, Zh. Vychisl. Mat. Mat. Fiz., 62:12 (2022),  2043–2053  mathnet  elib; Comput. Math. Math. Phys., 62:12 (2022), 2058–2068 1
3. V. I. Vlasov, S. L. Skorokhodov, “Conformal mapping of an $L$-shaped domain in analytical form”, Zh. Vychisl. Mat. Mat. Fiz., 62:12 (2022),  1943–1980  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:12 (2022), 1971–2007 3
2021
4. S. L. Skorokhodov, N. P. Kuzmina, “Spectral analysis of small perturbations of geostrophic currents with a parabolic vertical profile of velocity as applied to the ocean”, Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021),  2010–2023  mathnet  elib; Comput. Math. Math. Phys., 61:12 (2021), 1966–1979  isi  scopus 4
5. V. I. Vlasov, S. L. Skorokhodov, “Analytical solution for the cavitating flow over a wedge. II”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1873–1893  mathnet  elib; Comput. Math. Math. Phys., 61:11 (2021), 1834–1854  isi  scopus 7
2020
6. 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 5
7. 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
8. 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 7
2018
9. 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 12
2017
10. 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
11. S. L. Skorokhodov, “Evaluation of eigenvalues and eigenfunctions of Coulomb spheroidal wave equation”, Matem. Mod., 27:7 (2015),  111–116  mathnet  mathscinet  elib
2007
12. 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 1
13. 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 20
2006
14. 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 9
2005
15. 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
16. S. L. Skorokhodov, “A method for computing the generalized hypergeometric function ${}_pF_{p-1}(a_1,\dots,a_p;b_1,\dots,b_{p-1};1)$ 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 4
2004
17. S. L. Skorokhodov, “Methods of analytical continuation of the generalized hypergeometric functions ${}_pF_{p-1}(a_1,\dots,a_p;b_1,\dots,b_{p-1};z)$”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004),  1164–1186  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:7 (2004), 1102–1123 6
2003
18. 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 11
2001
19. 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 6
2000
20. 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 3
21. 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 1
1994
22. 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 5
1990
23. 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 1
1988
24. 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
25. 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 2
1986
26. 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 2
27. 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 5
1985
28. 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
29. 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 9
30. 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 3
31. 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 1
1984
32. 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 10
33. 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 6
34. 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 6

1987
35. 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
36. 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. Conformal Mapping of an L-Shaped Domain in Analytical Form
V. I. Vlasov, S. L. Skorokhodov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 13, 2023 17:35
2. 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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