Convergence of second derivative of a family of barycentric Hermite rational interpolants(一类重心权Hermite有理插值的二阶导数收敛性)

研究了一类特殊情形(m=1)的重心权Hermite有理插值,证明了该插值函数的二阶导数在插值节点和非插值节点处分别以O(h2d-1)和O(h2d-3)的速度收敛于函数f″(x)。数值例子进一步验证了方法的有效性。

Bibliographic Details
Main Authors: KANGNing(康宁), JINGKe(荆科)
Format: Article
Language:zho
Published: Zhejiang University Press 2022-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2022.03.009