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Arsenin, Vasilii Yakovlevich
(1915–1990)
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 31

Number of views:
This page:733
Abstract pages:6951
Full texts:3892
References:118
Arsenin, Vasilii Yakovlevich
Professor
Doctor of physico-mathematical sciences (1970)
Birth date: 24.04.1915

https://www.mathnet.ru/eng/person23102
https://ru.wikipedia.org/wiki/Arsenin,_Vasilii_Yakovlevich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/206966

Publications in Math-Net.Ru Citations
1991
1. V. Ya. Arsenin, A. V. Kryanev, “A generalized maximum-likelihood method for solving finite-dimensional ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 31:5 (1991),  643–653  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:5 (1991), 1–8  isi
1989
2. V. Ya. Arsenin, Yu. A. Kriksin, A. A. Timonov, “On the spectral approach to the construction of local regularization algorithms”, Dokl. Akad. Nauk SSSR, 304:3 (1989),  521–525  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 86–90
3. V. Ya. Arsenin, A. V. Kryanev, M. V. Tsupko-Sitnikov, “The use of robust methods to solve ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 29:5 (1989),  653–661  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:3 (1989), 7–13 2
1988
4. V. Arsenin, Yu. A. Kriksin, A. A. Timonov, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 113–125 5
1985
5. A. N. Tikhonov, V. Ya. Arsenin, N. B. Zyabrev, “The nonlinear programming problem with decreasing cost function and an algorithm of successive minimal increase”, Dokl. Akad. Nauk SSSR, 285:6 (1985),  1330–1334  mathnet  mathscinet  zmath 1
6. V. Ya. Arsenin, A. A. Timonov, “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  mathnet  mathscinet  zmath 1
7. A. N. Tikhonov, V. Ya. Arsenin, N. A. Marchenko, A. Kh. Pergament, M. I. Pergament, “On the problem oriented systems of the experimental data processing”, Dokl. Akad. Nauk SSSR, 281:4 (1985),  802–806  mathnet
8. V. Ya. Arsenin, S. M. Belotserkovskii, I. K. Lifanov, A. F. Matveev, “A method of regularizing singular integral equations of the first kind”, Differ. Uravn., 21:3 (1985),  455–464  mathnet  mathscinet  zmath
9. V. Ya. Arsenin, C. D. Vasil'kov, V. P. Zagonov, “Numerical methods for solving a two-dimensional problem for the Maxwell equations”, Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  694–704  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 25:3 (1985), 33–39 1
1984
10. A. N. Tikhonov, V. Ya. Arsenin, I. B. Rubashov, A. A. Timonov, “On the formulation and approximate solution of some inverse problems of NMR introscopy”, Dokl. Akad. Nauk SSSR, 275:1 (1984),  35–37  mathnet  zmath
1982
11. A. N. Tikhonov, V. Ya. Arsenin, I. B. Rubashov, A. A. Timonov, “On solving the problem of image reconstruction in NMR tomography”, Dokl. Akad. Nauk SSSR, 263:4 (1982),  872–876  mathnet 2
12. V. Ya. Arsenin, G. D. Vasil'kov, V. P. Zagonov, “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  mathnet  mathscinet
13. V. Ya. Arsenin, V. A. Gorbunov, A. A. Dumova, V. P. Zagonov, M. N. Nechaev, “On selfconsistent computations of electromagnetic fields generated by nonstationary gamma-source”, Zh. Vychisl. Mat. Mat. Fiz., 22:2 (1982),  390–400  mathnet; U.S.S.R. Comput. Math. Math. Phys., 22:2 (1982), 145–156 1
1981
14. A. N. Tikhonov, V. Ya. Arsenin, V. I. Pavlov, A. Kh. Pergament, “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  mathnet 1
15. V. Ya. Arsenin, C. D. Vasil'kov, A. V. Datsikov, V. P. Zagonov, V. A. Ivanov, “On the solution of a Cauchy problem for the Maxwell equations in a consistent spherically symmetric model”, Differ. Uravn., 17:10 (1981),  1752–1758  mathnet  mathscinet  zmath
16. V. Ya. Arsenin, A. A. Dumova, V. P. Zagonov, M. N. Nechaev, “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  mathnet; U.S.S.R. Comput. Math. Math. Phys., 21:2 (1981), 167–175 2
1980
17. V. Ya. Arsenin, V. A. Goryachev, V. P. Zagonov, “Calculation of pulse functions of lines of propagation of radio pulses with reflection from the lower ionosphere”, Differ. Uravn., 16:7 (1980),  1185–1195  mathnet  mathscinet
18. V. Ya. Arsenin, A. L. Galkin, V. V. Korobkin, “Feasibility of determining the spatial distribution of the plasma ion temperature”, Kvantovaya Elektronika, 7:6 (1980),  1219–1226  mathnet [Sov J Quantum Electron, 10:6 (1980), 699–703  isi]
1976
19. V. Ya. Arsenin, “On ill-posed problems”, Uspekhi Mat. Nauk, 31:6(192) (1976),  89–101  mathnet  mathscinet  zmath; Russian Math. Surveys, 31:6 (1976), 93–107 5
1973
20. V. Ya. Arsenin, “A certain method for approximate solutions of convolution type integral equations of the first kind”, Trudy Mat. Inst. Steklov., 133 (1973),  33–51  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 133 (1977), 31–48 2
1969
21. V. Ya. Arsenin, T. I. Savyolova, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:6 (1969), 204–210
1968
22. V. Ya. Arsenin, “The optimal summation of Fourier series with approximate coefficients”, Dokl. Akad. Nauk SSSR, 183:2 (1968),  257–260  mathnet  mathscinet  zmath 3
23. V. Ya. Arsenin, V. V. Ivanov, “The optimal regularization”, Dokl. Akad. Nauk SSSR, 182:1 (1968),  9–12  mathnet  mathscinet  zmath 1
24. V. Ya. Arsenin, V. V. Ivanov, “The effect of regularization of order $p$”, Zh. Vychisl. Mat. Mat. Fiz., 8:3 (1968),  661–663  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:3 (1968), 221–225 3
25. V. Ya. Arsenin, V. V. Ivanov, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:2 (1968), 88–106 1
1965
26. V. Ya. Arsenin, “Discontinuous solutions of equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 5:5 (1965),  922–926  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 5:5 (1965), 202–209
1964
27. A. N. Tikhonov, V. Ya. Arsenin, “On some non-linear functionals”, Mat. Sb. (N.S.), 65(107):4 (1964),  512–521  mathnet  mathscinet  zmath 1
1961
28. A. A. Samarskii, V. Arsenin, “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  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 1:2 (1962), 382–387 3
1950
29. V. Ya. Arsenin, A. A. Lyapunov, “The theory of $A$-sets”, Uspekhi Mat. Nauk, 5:5(39) (1950),  45–108  mathnet  mathscinet  zmath 6
1940
30. V. Arsenin, “Sur la nature des projections de certains ensembles mesurables $B$”, Izv. Akad. Nauk SSSR Ser. Mat., 4:4-5 (1940),  403–410  mathnet  mathscinet  zmath 1
1939
31. V. Arsenin, “Sur les projections des ensembles mesurables $B$”, Izv. Akad. Nauk SSSR Ser. Mat., 3:2 (1939),  233–240  mathnet  zmath 1
1980
32. V. Ya. Arsenin, V. A. Vinokurov, A. G. Sveshnikov, “Conference on Ill-Posed Problems”, Uspekhi Mat. Nauk, 35:6(216) (1980),  184–188  mathnet

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