Smelov Vladislav Vladimirovich

Publications in Math-Net.Ru

1. 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
2. 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
3. Bases derived from trigonometry and their advantages
   
   Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013),  105–119
4. 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
5. An analog to Gaussian quadrature implemented on a specific trigonometric basis
   
   Sib. Zh. Vychisl. Mat., 13:4 (2010),  439–450
6. 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
7. 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
8. 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
9. 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
10. 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
11. A correct version of $S_n$-method in transport radiation theory
    
    Sib. Zh. Vychisl. Mat., 5:1 (2002),  35–38
12. A local algorithm for smooth approximation of approximate difference and nonsmooth variational solutions
    
    Sib. Zh. Vychisl. Mat., 4:1 (2001),  51–60
13. On representation of piecewise-smooth functions by rapidly convergent trigonometric series
    
    Sib. Zh. Vychisl. Mat., 2:4 (1999),  385–394
14. On completeness of hemispherical harmonics system
    
    Sib. Zh. Vychisl. Mat., 1:4 (1998),  391–395
15. On the realization of smoothing polynomial splines by the matrix sweep method
    
    Sibirsk. Mat. Zh., 38:3 (1997),  690–696
16. A simple unified method for the realization of generalized splines by using the matrix sweep algorithm
    
    Sibirsk. Mat. Zh., 36:3 (1995),  650–658
17. Finite approximations of the method of spherical harmonics with various orders in space subdomains
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986),  465–469
18. On the approximation of functions by eigensolutions of two Sturm–Liouville problems
    
    Sibirsk. Mat. Zh., 26:2 (1985),  149–158
19. 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
20. The principle of iteration over subdomains in problems involving the transport equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981),  1493–1504
21. Approximation of piecewise-smooth functions by the eigenelements of two Sturm–Liouville problems
    
    Dokl. Akad. Nauk SSSR, 250:3 (1980),  573–577
22. Symmetrization of an odd $P_{2N+1}$-approximation of a one-velocity transport equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980),  121–132
23. 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
24. A modification of a principle for constructing a basic system of elements in computational algorithms
    
    Dokl. Akad. Nauk SSSR, 229:6 (1976),  1324–1326


25. Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)
    
    Sibirsk. Mat. Zh., 36:3 (1995),  483–487
26. Gurii Ivanovich Marchuk (on the occasion of his sixtieth birthday)
    
    Sibirsk. Mat. Zh., 26:3 (1985),  3–10