Zobrazeno 1 - 10
of 23
pro vyhledávání: '"A. V. Voytishek"'
Autor:
A. V. Voytishek, T. E. Bulgakova
Publikováno v:
Computational Mathematics and Mathematical Physics. 61:1401-1415
The problem of obtaining a numerical functional approximation of probability density on the basis of a given or simulated sample values with a prescribed error level at the minimum cost is considered. A computational algorithm for solving this proble
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2bc83f61295410b4cdc46cc75055e6c
https://doi.org/10.1134/s0965542521090062
https://doi.org/10.1134/s0965542521090062
Autor:
A. V. Voytishek
Publikováno v:
Journal of Mathematical Sciences. 254:589-605
Systematization of numerical randomized functional algorithms for approximation of solutions to second-kind Fredholm integral equation is performed in this paper. Three types of algorithms are emphasized: projection algorithms, grid algorithms, and p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fa3d79282e18f8393b3a2ecd925e6eb
https://doi.org/10.1007/s10958-021-05328-z
https://doi.org/10.1007/s10958-021-05328-z
Autor:
A. V. Voytishek, T. E. Bulgakova
Publikováno v:
Communications in Statistics - Simulation and Computation. 51:1637-1646
In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is pa...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a343f74e29953b162953d507169c68c9
https://doi.org/10.1080/03610918.2019.1677914
https://doi.org/10.1080/03610918.2019.1677914
Autor:
A. V. Voytishek
Publikováno v:
Journal of Applied and Industrial Mathematics. 12:382-394
Under study are the randomized algorithms for numerical solution of the Fredholm integral equations of the second kind (from the viewpoint of their application for the practically important problems of mathematical physics). The projection, grid and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbd1a835b3be790fd04ba034fdde83db
https://doi.org/10.1134/s1990478918020187
https://doi.org/10.1134/s1990478918020187
Autor:
D A Cherkashin, A V Voytishek
Publikováno v:
Journal of Physics: Conference Series. 2099:012071
This paper presents a computer system for modelling one-dimensional random variables NMPUD, developed in the laboratory of mathematical modelling of Lyceum No. 130 in Novosibirsk. The results of the numerical experiments and the considerations justif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5de7bcc8363d918f5bb4f65f2ed4fb10
https://doi.org/10.1088/1742-6596/2099/1/012071
https://doi.org/10.1088/1742-6596/2099/1/012071
Publikováno v:
Communications in Computer and Information Science ISBN: 9783030386023
The constructive kernel algorithm for approximation of probability densities using the given sample values is proposed. This algorithm is based on the approaches of the theory of the numerical functional approximation. The critical analysis of the op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::000e0d14217ab63c35b217c2c9fafe20
https://doi.org/10.1007/978-3-030-38603-0_19
https://doi.org/10.1007/978-3-030-38603-0_19
Publikováno v:
AIP Conference Proceedings.
In this paper, the systematization of numerical (implemented on a computer) randomized functional algorithms for approximation of a solution of Fredholm integral equation of the second kind is carried out. Wherein, three types of such algorithms are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e7db09db4437e3095465608859689a8
https://doi.org/10.1063/1.5012637
https://doi.org/10.1063/1.5012637
Autor:
S. V. Rogasinskii, A. V. Voytishek
Publikováno v:
Numerical Analysis and Applications. 2:216-219
The statement on a variance minimum of a random integer value with fixed mathematical expectation is proved.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::550a55c3262fcbd185d9c2362541603e
https://doi.org/10.1134/s1995423909030021
https://doi.org/10.1134/s1995423909030021
Autor:
T. E. Bulgakova, A. V. Voytishek
Publikováno v:
Computational Mathematics and Mathematical Physics. 49:1093-1102
Selection of conditionally optimal parameters of the randomized iterative method for solving large-scale linear systems of equations is considered. The error of this method is analyzed by analogy with the functional Monte Carlo algorithms. For the si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8efc29e706afe33b35ecad1267fd65fc
https://doi.org/10.1134/s0965542509070021
https://doi.org/10.1134/s0965542509070021