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Publications in Math-Net.Ru |
Citations |
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2014 |
| 1. |
V. V. Smelov, “A network version of the non-standard trigonometric basis and its advantages with respect to a similar polynomial basis”, Sib. Zh. Vychisl. Mat., 17:4 (2014), 399–409   ; Num. Anal. Appl., 7:4 (2014), 336–344 |
| 2. |
V. V. Smelov, “On One-Dimensional Boundary Value Problems with Explosive Coefficients and a Specific Net Basis Oriented towards their Solution”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:3 (2014), 95–106 |
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2013 |
| 3. |
V. V. Smelov, “Bases derived from trigonometry and their advantages”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013), 105–119 |
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2012 |
| 4. |
V. V. Smelov, “An iterative method for finding solutions to problems of heat conduction and diffusion of particles with discontinuous coefficients of the differential operator of the problem”, Sib. Zh. Ind. Mat., 15:2 (2012), 128–138 |
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2010 |
| 5. |
V. V. Smelov, A. S. Popov, “An analog to Gaussian quadrature implemented on a specific trigonometric basis”, Sib. Zh. Vychisl. Mat., 13:4 (2010), 439–450 ; Num. Anal. Appl., 3:4 (2010), 357–366  |
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2009 |
| 6. |
V. V. Smelov, “An Approximate Solution to the Integral Equations with Kernels of the Form $K(x-t)$ Which Uses a Nonstandard Basis of Trigonometric Functions”, Sib. Zh. Ind. Mat., 12:3 (2009), 110–116 ; J. Appl. Industr. Math., 4:3 (2010), 422–427 |
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2007 |
| 7. |
V. V. Smelov, “Approximation of piecewise smooth functions by a small binary basis from eigenfunctions of the two Sturm–Liouville problems under mutually symmetric boundary conditions”, Sib. Zh. Vychisl. Mat., 10:1 (2007), 89–104 |
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2005 |
| 8. |
V. V. Smelov, “Approximate solution of a mixed problem for a parabolic equation by means of a special basis of functions”, Sib. Zh. Ind. Mat., 8:1 (2005), 117–128 ; J. Appl. Industr. Math., 1:1 (2007), 105–115 |
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2004 |
| 9. |
V. V. Smelov, “On efficient approximation of piecewise smooth functions with their presentation by rapidly converging piecewise polynomial series”, Sib. Zh. Vychisl. Mat., 7:1 (2004), 67–77  |
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2003 |
| 10. |
V. V. Smelov, “On generalized solution of two-dimensional elliptic problem with piecewise constant coefficients based on splitting a differential operator and using specific basis functions”, Sib. Zh. Vychisl. Mat., 6:1 (2003), 59–72 |
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2002 |
| 11. |
V. V. Smelov, “A correct version of $S_n$-method in transport radiation theory”, Sib. Zh. Vychisl. Mat., 5:1 (2002), 35–38 |
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2001 |
| 12. |
V. V. Smelov, “A local algorithm for smooth approximation of approximate difference and nonsmooth variational solutions”, Sib. Zh. Vychisl. Mat., 4:1 (2001), 51–60 |
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1999 |
| 13. |
V. V. Smelov, “On representation of piecewise-smooth functions by rapidly convergent trigonometric series”, Sib. Zh. Vychisl. Mat., 2:4 (1999), 385–394 |
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1998 |
| 14. |
V. V. Smelov, “On completeness of hemispherical harmonics system”, Sib. Zh. Vychisl. Mat., 1:4 (1998), 391–395 |
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1997 |
| 15. |
V. V. Smelov, K. I. Kuchinskii, “On the realization of smoothing polynomial splines by the matrix sweep method”, Sibirsk. Mat. Zh., 38:3 (1997), 690–696 ; Siberian Math. J., 38:3 (1997), 597–602  |
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1995 |
| 16. |
V. V. Smelov, “A simple unified method for the realization of generalized splines by using the matrix sweep algorithm”, Sibirsk. Mat. Zh., 36:3 (1995), 650–658 ; Siberian Math. J., 36:3 (1995), 562–568 |
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1986 |
| 17. |
V. P. Kutov, V. V. Smelov, “Finite approximations of the method of spherical harmonics with various orders in space subdomains”, Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986), 465–469 ; U.S.S.R. Comput. Math. Math. Phys., 26:2 (1986), 90–93 |
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1985 |
| 18. |
V. V. Smelov, “On the approximation of functions by eigensolutions of two Sturm–Liouville problems”, Sibirsk. Mat. Zh., 26:2 (1985), 149–158 ; Siberian Math. J., 26:2 (1985), 278–285 |
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1982 |
| 19. |
V. V. Smelov, “Validation of an iterative process over subdomains for transport theory problems in an odd $P_{2N+1}$-approximation”, Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982), 151–162 ; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 157–170 |
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1981 |
| 20. |
V. V. Smelov, “The principle of iteration over subdomains in problems involving the transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981), 1493–1504 ; U.S.S.R. Comput. Math. Math. Phys., 21:6 (1981), 131–143 |
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1980 |
| 21. |
V. V. Smelov, “Approximation of piecewise-smooth functions by the eigenelements of two Sturm–Liouville problems”, Dokl. Akad. Nauk SSSR, 250:3 (1980), 573–577 |
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| 22. |
V. V. Smelov, “Symmetrization of an odd $P_{2N+1}$-approximation of a one-velocity transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980), 121–132 ; U.S.S.R. Comput. Math. Math. Phys., 20:1 (1980), 129–142 |
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1979 |
| 23. |
V. V. Smelov, “The unique formation of conditions on the interior and exterior boundaries of the domain in the $P_{2N+1}$-approximation of the method of spherical harmonics”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 248–252 ; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 259–264 |
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1976 |
| 24. |
V. V. Smelov, “A modification of a principle for constructing a basic system of elements in computational algorithms”, Dokl. Akad. Nauk SSSR, 229:6 (1976), 1324–1326 |
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1995 |
| 25. |
A. S. Aleksev, S. K. Godunov, V. P. Dymnikov, V. P. Il'in, A. N. Konovalov, V. I. Kuzin, M. M. Lavrent'ev, V. V. Smelov, G. A. Mikhailov, V. G. Romanov, “Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 36:3 (1995), 483–487 |
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1985 |
| 26. |
S. L. Sobolev, M. A. Lavrent'ev, Yu. G. Reshetnyak, V. V. Penenko, V. V. Smelov, “Gurii Ivanovich Marchuk (on the occasion of his sixtieth birthday)”, Sibirsk. Mat. Zh., 26:3 (1985), 3–10 |
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