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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
V. N. Belykh, “On the asymptotics of the Alexsandrov`s $n$-width compact infinitely smooth periodic function of the Gevrey's class”, Mat. Tr., 27:4 (2024), 5–18  ; Siberian Adv. Math., 34:4 (2024), 273–279 |
| 2. |
V. N. Belykh, “Estimates of Alexandrov's $n$-width of the compact set of $C^{\infty}$-smooth functions on a finite segment”, Sibirsk. Mat. Zh., 65:1 (2024), 3–14 |
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2023 |
| 3. |
V. N. Belykh, “Estimates of Alexandrov’s $n$-width of a compact set for some infinitely differentiable periodic functions”, Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023), 8–12  ; Dokl. Math., 107:1 (2023), 4–8 |
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2022 |
| 4. |
V. N. Belykh, “Unsaturated algorithms for the numerical solution of elliptic boundary value problems in smooth axisymmetric domains”, Mat. Tr., 25:1 (2022), 3–50 |
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2021 |
| 5. |
V. N. Belykh, “On the question of good conditionality of unsaturated quadrature formulas”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1083–1097 |
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2020 |
| 6. |
V. N. Belykh, “Superconvergent algorithms for the numerical solution of the Laplace equation in smooth axisymmetric domains”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 553–566 ; Comput. Math. Math. Phys., 60:4 (2020), 545–557   |
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2019 |
| 7. |
V. N. Belykh, “Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with free surface”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 226–237 ; J. Appl. Mech. Tech. Phys., 60:2 (2019), 382–391 |
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| 8. |
V. N. Belykh, “The problem of constructing unsaturated quadrature formulae on an interval”, Mat. Sb., 210:1 (2019), 27–62   ; Sb. Math., 210:1 (2019), 24–58 |
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2018 |
| 9. |
V. N. Belykh, “The absolute $\varepsilon$-entropy of a compact set of infinitely differentiable aperiodic functions”, Sibirsk. Mat. Zh., 59:6 (2018), 1197–1213 ; Siberian Math. J., 59:6 (2018), 947–959 |
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2017 |
| 10. |
V. N. Belykh, “Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval”, Sibirsk. Mat. Zh., 58:5 (2017), 1004–1014 ; Siberian Math. J., 58:5 (2017), 778–785 |
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| 11. |
V. N. Belykh, “Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface”, Sibirsk. Mat. Zh., 58:4 (2017), 728–744 ; Siberian Math. J., 58:4 (2017), 564–577 |
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2013 |
| 12. |
V. N. Belykh, “Particular features of implementation of an unsaturated numerical method for the exterior axisymmetric Neumann problem”, Sibirsk. Mat. Zh., 54:6 (2013), 1237–1249 ; Siberian Math. J., 54:6 (2013), 984–993 |
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2012 |
| 13. |
V. N. Belykh, “Algorithms for computing complete elliptic integrals and some related functions”, Sib. Zh. Ind. Mat., 15:2 (2012), 21–32 ; J. Appl. Industr. Math., 6:4 (2012), 410–420 |
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| 14. |
V. N. Belykh, “The problem of numerical realization of integral operators of axisymmetric boundary value problems (algorithms without saturation)”, Ufimsk. Mat. Zh., 4:4 (2012), 22–37 |
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2011 |
| 15. |
V. N. Belykh, “An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace's equation”, Sibirsk. Mat. Zh., 52:6 (2011), 1234–1252 ; Siberian Math. J., 52:6 (2011), 980–994 |
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| 16. |
V. N. Belykh, “On the absolute $\varepsilon$-entropy of some compact set of infinitely differentiable periodic functions”, Sibirsk. Mat. Zh., 52:3 (2011), 485–501 ; Siberian Math. J., 52:3 (2011), 381–393 |
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2006 |
| 17. |
V. N. Belykh, “On solving the problem of an ideal incompressible fluid flow around large-aspect-ratio axisymmetric bodies”, Prikl. Mekh. Tekh. Fiz., 47:5 (2006), 56–67 ; J. Appl. Mech. Tech. Phys., 47:5 (2006), 661–670 |
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2005 |
| 18. |
V. N. Belykh, “On the best approximation properties of $C^\infty$-smooth functions on an interval of the real axis (to the phenomenon of unsaturated numerical methods)”, Sibirsk. Mat. Zh., 46:3 (2005), 483–499 ; Siberian Math. J., 46:3 (2005), 373–385 |
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2002 |
| 19. |
V. N. Belykh, “Superconvergent unsaturated algorithms for the numerical solution of the Laplace equation”, Sib. Zh. Ind. Mat., 5:2 (2002), 36–52 |
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1993 |
| 20. |
V. N. Belykh, “On the problem of the numerical solution of the Dirichlet problem
by the harmonic potential of a simple layer (algorithms without
saturation)”, Dokl. Akad. Nauk, 329:4 (1993), 392–395 ; Dokl. Math., 47:2 (1993), 252–256 |
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1989 |
| 21. |
V. N. Belykh, “Algorithms without saturation in the problem of numerical
integration”, Dokl. Akad. Nauk SSSR, 304:3 (1989), 529–533 ; Dokl. Math., 39:1 (1989), 95–98 |
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1988 |
| 22. |
V. N. Belykh, “Numerical algorithms without saturation in nonstationary problems of the hydrodynamics of an ideal fluid with free boundaries”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 11 (1988), 3–67 |
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1987 |
| 23. |
V. N. Belykh, “Algorithms without saturation in axially symmetric boundary value
problems”, Dokl. Akad. Nauk SSSR, 295:5 (1987), 1037–1041 ; Dokl. Math., 36:1 (1988), 146–150 |
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1977 |
| 24. |
V. N. Belykh, V. I. Nekorkin, “Qualitative study of multidimensional phase systems”, Sibirsk. Mat. Zh., 18:4 (1977), 723–735 ; Siberian Math. J., 18:4 (1977), 511–520 |
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2015 |
| 25. |
V. N. Belykh, K. V. Brushlinskii, V. L. Vaskevich, S. P. Kiselev, A. N. Kraiko, A. G. Kulikovskii, V. I. Mali, V. V. Pukhnachov, E. I. Romensky, V. S. Ryaben'kii, “Sergei Konstantinovich Godunov has turned 85 years old”, Uspekhi Mat. Nauk, 70:3(423) (2015), 183–207 ; Russian Math. Surveys, 70:3 (2015), 561–590 |
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