Zobrazeno 1 - 10
of 19
pro vyhledávání: '"A.I. Boykova"'
Autor:
I.V. Boykov, A.I. Boykova
Publikováno v:
Сибирский журнал вычислительной математики. 25:249-267
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::596478ccf9306686f818f3aebe8883dd
https://doi.org/10.15372/sjnm20220303
https://doi.org/10.15372/sjnm20220303
Publikováno v:
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva. 23:247-272
We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems. The continuous operator method is based on the Lyapunov theory stability of sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a392789f197f0ce44088579d786243b2
https://doi.org/10.15507/2079-6900.23.202103.247-272
https://doi.org/10.15507/2079-6900.23.202103.247-272
Akademický článek
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Publikováno v:
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva. 22:405-423
In the paper we investigate approximate methods for solving linear and nonlinear hypersingular integral equations defined on the number axis. We study equations with the second-order singularities because such equations are widely used in problems of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4ffdaab453d8e54e750927183bbedcc
https://doi.org/10.15507/2079-6900.22.202004.405-423
https://doi.org/10.15507/2079-6900.22.202004.405-423
Publikováno v:
Axioms, Vol 9, Iss 74, p 74 (2020)
Axioms; Volume 9; Issue 3; Pages: 74
Axioms; Volume 9; Issue 3; Pages: 74
We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides. We investigate hypersingular integral equations with second order singularities
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d832b4ddc8f1ea0d303866443b1dd75c
https://www.mdpi.com/2075-1680/9/3/74
https://www.mdpi.com/2075-1680/9/3/74
Publikováno v:
Applied Numerical Mathematics. 127:280-305
We propose a method for solving linear and nonlinear hypersingular integral equations. For nonlinear equations the advantage of the method is in rather weak requirements for the nonlinear operator behavior in the vicinity of the solution. The singula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ae8373163deaa2d96591f0c11cfc572
https://doi.org/10.1016/j.apnum.2018.01.010
https://doi.org/10.1016/j.apnum.2018.01.010
Publikováno v:
Applied Numerical Mathematics. 86:1-21
This paper describes numerical schemes based on spline-collocation method and their justifications for approximate solutions of linear and nonlinear hypersingular integral equations with singularities of the second kind. Collocations with continuous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a46eb8ccb07fde99d9bfae8b1479836
https://doi.org/10.1016/j.apnum.2014.07.002
https://doi.org/10.1016/j.apnum.2014.07.002
Akademický článek
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Autor:
A.I. Boykova, I.V. Boykov
Publikováno v:
University proceedings. Volga region. Physical and mathematical sciences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7753871be53927083875c244716ccf2e
https://doi.org/10.21685/2072-3040-2016-2-3
https://doi.org/10.21685/2072-3040-2016-2-3
Publikováno v:
Applied Numerical Mathematics. 60:607-628
This paper describes a spline-collocation method and its justification for the solution of one-dimensional hypersingular integral equations, polyhypersingular integral equations, and multi-dimensional hypersingular integral equations. Illustrative ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7440a4ea18640efd5aea18282317242f
https://doi.org/10.1016/j.apnum.2010.03.003
https://doi.org/10.1016/j.apnum.2010.03.003