Отрывок: Thus, as following we assume that 2/1 . Yet, to keep it short we assign ),,()( 22  xgxg )1,2,()(2 Sxg . Theorem 2.There are such constants 32 ,CC , which satisfy (6) if 3 1 CN  . Theorem 3. There are such constants 54 , CC and 0 , independent from N, , that if 1 4  NC , th...
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dc.contributor.authorBlatov, I.A.-
dc.contributor.authorKitaeva, E.V.-
dc.date.accessioned2017-05-19 15:28:36-
dc.date.available2017-05-19 15:28:36-
dc.date.issued2017-
dc.identifierDspace\SGAU\20170519\63913ru
dc.identifier.citationBlatov I.A. On interpolation of functions with a boundary layer by parabolic splines / I.A. Blatov, E.V. Kitaeva // Сборник трудов III международной конференции и молодежной школы «Информационные технологии и нанотехнологии» (ИТНТ-2017) - Самара: Новая техника, 2017. - С. 1263-1266.ru
dc.identifier.urihttp://repo.ssau.ru/handle/Informacionnye-tehnologii-i-nanotehnologii/On-interpolation-of-functions-with-a-boundary-layer-by-parabolic-splines-63913-
dc.description.abstractA subject of the article is parabolic spline-interpolation of functions having high gradient domains. Uniform grids are proved inefficient. As for parabolic spline interpolation, asymptotically exact estimates on a class of functions with an exponential boundary layer are announced in regard with piecewise-uniform grids, concentrated in the boundary layer. There are obtained results showing non-uniform in small parameter estimates and divergence of interpolation processes. The author offered a modified parabolic spline for which uniform in small parameter interpolation error estimations were obtained. There are available results of numerical experiments confirming theoretical estimates.ru
dc.description.sponsorshipThe work is supported by Russian Foundation of Basic Researches under Grant 15-01-06584.ru
dc.language.isoenru
dc.publisherНовая техникаru
dc.subjectboundary layerru
dc.subjectsingular perturbationru
dc.subjectparabolic spline-interpolationru
dc.subjecterror estimatesru
dc.titleOn interpolation of functions with a boundary layer by parabolic splinesru
dc.typeArticleru
dc.textpartThus, as following we assume that 2/1 . Yet, to keep it short we assign ),,()( 22  xgxg )1,2,()(2 Sxg . Theorem 2.There are such constants 32 ,CC , which satisfy (6) if 3 1 CN  . Theorem 3. There are such constants 54 , CC and 0 , independent from N, , that if 1 4  NC , th...-
Располагается в коллекциях: Информационные технологии и нанотехнологии

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