Arsenin Vasilii Yakovlevich

Publications in Math-Net.Ru

1. A generalized maximum-likelihood method for solving finite-dimensional ill-posed problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 31:5 (1991),  643–653
2. On the spectral approach to the construction of local regularization algorithms
   
   Dokl. Akad. Nauk SSSR, 304:3 (1989),  521–525
3. The use of robust methods to solve ill-posed problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 29:5 (1989),  653–661
4. A local regularization method for linear operator equations of the first kind and its applications
   
   Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  793–808
5. The nonlinear programming problem with decreasing cost function and an algorithm of successive minimal increase
   
   Dokl. Akad. Nauk SSSR, 285:6 (1985),  1330–1334
6. Construction of regularizing operators that are close to optimal for convolution-type one-dimensional and multidimensional equations of the first kind
   
   Dokl. Akad. Nauk SSSR, 284:6 (1985),  1289–1293
7. On the problem oriented systems of the experimental data processing
   
   Dokl. Akad. Nauk SSSR, 281:4 (1985),  802–806
8. A method of regularizing singular integral equations of the first kind
   
   Differ. Uravn., 21:3 (1985),  455–464
9. Numerical methods for solving a two-dimensional problem for the Maxwell equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  694–704
10. On the formulation and approximate solution of some inverse problems of NMR introscopy
    
    Dokl. Akad. Nauk SSSR, 275:1 (1984),  35–37
11. On solving the problem of image reconstruction in NMR tomography
    
    Dokl. Akad. Nauk SSSR, 263:4 (1982),  872–876
12. Numerical methods for solving some two-dimensional linear and nonlinear problems for Maxwell equations in a medium with a nonstationary source of gamma rays
    
    Differ. Uravn., 18:7 (1982),  1126–1133
13. On selfconsistent computations of electromagnetic fields generated by nonstationary gamma-source
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:2 (1982),  390–400
14. On the beam divergence in a high power glass laser amplifiers with active elements of rectangular cross section
    
    Dokl. Akad. Nauk SSSR, 261:6 (1981),  1333–1336
15. On the solution of a Cauchy problem for the Maxwell equations in a consistent spherically symmetric model
    
    Differ. Uravn., 17:10 (1981),  1752–1758
16. On electromagnetic radiation of non-stationary source of gamma-quants at surface with finite electrical conductivity
    
    Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  423–431
17. Calculation of pulse functions of lines of propagation of radio pulses with reflection from the lower ionosphere
    
    Differ. Uravn., 16:7 (1980),  1185–1195
18. Feasibility of determining the spatial distribution of the plasma ion temperature
    
    Kvantovaya Elektronika, 7:6 (1980),  1219–1226
19. On ill-posed problems
    
    Uspekhi Mat. Nauk, 31:6(192) (1976),  89–101
20. A certain method for approximate solutions of convolution type integral equations of the first kind
    
    Trudy Mat. Inst. Steklov., 133 (1973),  33–51
21. The application of the method of regularization to convolution type integral equations of first kind
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:6 (1969),  1392–1396
22. The optimal summation of Fourier series with approximate coefficients
    
    Dokl. Akad. Nauk SSSR, 183:2 (1968),  257–260
23. The optimal regularization
    
    Dokl. Akad. Nauk SSSR, 182:1 (1968),  9–12
24. The effect of regularization of order $p$
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:3 (1968),  661–663
25. The solution of certain convolution type integral equations of the first kind by the regularization method
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  310–321
26. Discontinuous solutions of equations of the first kind
    
    Zh. Vychisl. Mat. Mat. Fiz., 5:5 (1965),  922–926
27. On some non-linear functionals
    
    Mat. Sb. (N.S.), 65(107):4 (1964),  512–521
28. On the numerical solution of the equations of gas dynamics with various types of viscosity
    
    Zh. Vychisl. Mat. Mat. Fiz., 1:2 (1961),  357–360
29. The theory of $A$-sets
    
    Uspekhi Mat. Nauk, 5:5(39) (1950),  45–108
30. Sur la nature des projections de certains ensembles mesurables $B$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 4:4-5 (1940),  403–410
31. Sur les projections des ensembles mesurables $B$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 3:2 (1939),  233–240


32. Conference on Ill-Posed Problems
    
    Uspekhi Mat. Nauk, 35:6(216) (1980),  184–188