摘要
本文考虑了一类三阶算子样条插值,给出了它的一个渐近展开式,并由此求得插值样条及其导数的超收敛点,数值结果与理论相符。
In this paper,the asymptotic expressions of the third order operator interpolation spline are obtained in the case of the uniform mesh.By using these expressions,the superconvergence points of interpolation spline and its derivatives can be found.Numerical re- sults agree with theory.
出处
《华南理工大学学报(自然科学版)》
EI
CAS
CSCD
1990年第2期67-75,共9页
Journal of South China University of Technology(Natural Science Edition)
关键词
样条插值
渐近式
超收敛
算子样条
spline interpolation
asymptotic expansion
convergence