Zobrazeno 1 - 10 of 52 pro vyhledávání: '"A. I. Zadorin"'
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Akademický článek
Interpolation Formulas for Functions with Large Gradients in the Boundary Layer and their Application
Autor: A. I. Zadorin
Publikováno v: Моделирование и анализ информационных систем, Vol 23, Iss 3, Pp 377-384 (2016)
Interpolation of functions on the basis of Lagrange’s polynomials is widely used. However in the case when the function has areas of large gradients, application of polynomials of Lagrange leads to essential errors. It is supposed that the function
Externí odkaz: https://doaj.org/article/e3bfbc060c2f45a48a07b94c3fb7205f
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7
Non-Polynomial Interpolation of Functions with Large Gradients and Its Application
Autor: N. A. Zadorin, A. I. Zadorin
Publikováno v: Computational Mathematics and Mathematical Physics. 61:167-176
Interpolation of a function of one variable with large gradients in the boundary layer region is studied. The problem is that the use of classical polynomial interpolation formulas on a uniform mesh to functions with large gradients can lead to error
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1559dc47ff60e976709ada354226a56e
https://doi.org/10.1134/s0965542521020147
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8
Generalized Spline Interpolation of Functions with Large Gradients in Boundary Layers
Autor: E. V. Kitaeva, A. I. Zadorin, I. A. Blatov
Publikováno v: Computational Mathematics and Mathematical Physics. 60:411-426
The spline interpolation of functions of one variable with large gradients in boundary layers is studied. It is well known that applying polynomial splines to interpolate functions of this kind leads to significant errors when the small parameter is
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::695a4d9cc2d8f30ad4b736068f1e0a5c
https://doi.org/10.1134/s0965542520030057
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9
Approximation of a Function and Its Derivatives on the Basis of Cubic Spline Interpolation in the Presence of a Boundary Layer
Autor: I. A. Blatov, A. I. Zadorin, E. V. Kitaeva
Publikováno v: Computational Mathematics and Mathematical Physics. 59:343-354
The problem of approximate calculation of the derivatives of functions with large gradients in the region of an exponential boundary layer is considered. It is known that the application of classical formulas of numerical differentiation to functions
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b14ac2c54b6b4c5508c64a9aad42042b
https://doi.org/10.1134/s0965542519030047
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10
Analysis of approaches to spline interpolation of functions with large gradients in the boundary layer
Autor: I.A. Blatov, A I Zadorin
Publikováno v: Journal of Physics: Conference Series. 2182:012016
The problem of cubic spline interpolation of functions with large gradients in the boundary layer is considered. It is assumed that the decomposition in the form of the sum of the regular and singular components is valid for the interpolated function
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2acc794cae7471853890fe372f894561
https://doi.org/10.1088/1742-6596/2182/1/012016
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