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.
S. L. Skorokhodov, “Conformal mapping of a $\mathbb{Z}$-shaped domain”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 2131–2154; 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; Comput. Math. Math. Phys., 62:12 (2022), 2058–2068
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; Comput. Math. Math. Phys., 62:12 (2022), 1971–2007
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; Comput. Math. Math. Phys., 61:12 (2021), 1966–1979
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; Comput. Math. Math. Phys., 61:11 (2021), 1834–1854
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; Comput. Math. Math. Phys., 60:12 (2020), 2032–2055
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; Comput. Math. Math. Phys., 60:11 (2020), 1900–1912
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; Comput. Math. Math. Phys., 59:5 (2019), 815–835
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; Comput. Math. Math. Phys., 58:6 (2018), 976–992
S. L. Skorokhodov, “Computation of zeros of the alpha exponential function”, Zh. Vychisl. Mat. Mat. Fiz., 57:6 (2017), 907–920; Comput. Math. Math. Phys., 57:6 (2017), 905–918
2015
11.
S. L. Skorokhodov, “Evaluation of eigenvalues and eigenfunctions of Coulomb spheroidal wave equation”, Matem. Mod., 27:7 (2015), 111–116
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; Comput. Math. Math. Phys., 47:11 (2007), 1802–1818
S. L. Skorokhodov, “Numerical analysis of the spectrum of the Orr–Sommerfeld problem”, Zh. Vychisl. Mat. Mat. Fiz., 47:10 (2007), 1672–1691; Comput. Math. Math. Phys., 47:10 (2007), 1603–1621
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; Comput. Math. Math. Phys., 46:7 (2006), 1132–1146
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; Comput. Math. Math. Phys., 45:11 (2005), 1864–1878
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; Comput. Math. Math. Phys., 45:4 (2005), 550–562
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; Comput. Math. Math. Phys., 41:12 (2001), 1718–1741
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; Comput. Math. Math. Phys., 40:11 (2000), 1567–1581
S. A. Markovskii, S. L. Skorokhodov, “Numerical simulation of shock waves with nonunique structure”, Zh. Vychisl. Mat. Mat. Fiz., 40:9 (2000), 1408–1415; Comput. Math. Math. Phys., 40:9 (2000), 1350–1356
V. I. Vlasov, S. L. Skorokhodov, “On the development of the Trefftz method”, Dokl. Akad. Nauk, 337:6 (1994), 713–717; Dokl. Math., 50:1 (1995), 157–163
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; 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; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 18–25
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; U.S.S.R. Comput. Math. Math. Phys., 26:5 (1986), 48–55
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
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; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 101–107
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; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 26–36
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; U.S.S.R. Comput. Math. Math. Phys., 25:5 (1985), 117–128
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; U.S.S.R. Comput. Math. Math. Phys., 24:5 (1984), 131–141
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; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 115–123
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; U.S.S.R. Comput. Math. Math. Phys., 24 (1984), 15–24
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
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; 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