摘要
为解决4维散乱数据Hermit-Birkhoff型插值问题,在使给定的目标泛极小的条件下,构造了一种带自然边界条件的三元多项式样条函数方法,研究了插值问题解的特征,存在唯一性,收敛性及误差,最后给出了一些数值算例.
To solve the interpolation problem of Hermit-Birkhoff type for scattered data of 4D, under the condition of minimizing the given functional, a new trivatiate polynomial spline interpolation with natural conditions have been constructed. The characterization, existence, uniqueness, convergence and error estimation of the solution of the interpolation problem have been studied carefully. Some numerical examples have been presented at last to illustrate the method.
出处
《计算数学》
CSCD
北大核心
2011年第4期423-446,共24页
Mathematica Numerica Sinica
基金
国家自然科学基金项目(11001060)
