单边无限区间上五次样条插值的渐近展式及叠样条逼近  

The Term by Term Expansions for Quintic Interpolating Splines in [0,+∞) and the Spline on spline Approximation

作　　者：舒适[1] 高协平[1] 傅凯新[1] 

机构地区：[1]湘潭大学数学系

出　　处：《工程数学学报》1997年第3期7-12,共6页Chinese Journal of Engineering Mathematics

摘　　要：给出了单边无限区间上一类重要高次插值样条——五次样条函数的逐项渐近展式．利用它可得到超收敛结果和进行外推等工作．另外还给出了一种高精度逼近导函数的方法．In this paper, we obtain the term by term expansions for quintic spline interpolating function defined in [0,+∞). Based on it, we give the super convergence in the knots and can carry out extrapolation works etc. In addition, the spline on spline approximation of the derivative is obtained.

关 键 词：样条函数 插值 叠样条 渐近展式 逼近 无限区间 

分 类 号：O241.5[理学—计算数学] O174.41[理学—数学]