Higher-order polynomial approximation
- 作者: Dikusar N.D.1
-
隶属关系:
- Laboratory of Information Technologies
- 期: 卷 8, 编号 2 (2016)
- 页面: 183-200
- 栏目: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200798
- DOI: https://doi.org/10.1134/S2070048216020058
- ID: 200798
如何引用文章
详细
A new approach to polynomial higher-order approximation (smoothing) based on the basic elements method (BEM) is proposed. A BEM polynomial of degree n is defined by four basic elements specified on a three-point grid: x0 + α < x0 < x0 + β, αβ <0. Formulas for the calculation of coefficients of the polynomial model of order 12 were derived. These formulas depend on the interval length, continuous parameters α and β, and the values of f(m)(x0+ν), ν = α, β, 0, m = 0,3. The application of higher-degree BEM polynomials in piecewise-polynomial approximation and smoothing improves the stability and accuracy of calculations when the grid step is increased and reduces the computational complexity of the algorithms.
作者简介
N. Dikusar
Laboratory of Information Technologies
编辑信件的主要联系方式.
Email: dnd@jinr.ru
俄罗斯联邦, Dubna, 141980
补充文件
