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 计算数学  2011, Vol. 33 Issue (4): 423-446    DOI:
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1. 中山大学新华学院, 广州 510520;
2. 西北师范大学数学与信息科学学院, 兰州 730070;
3. 赣南师范学院数学与计算机科学学院, 江西赣州 341000
TRIVARIATE POLYNOMIAL SPLINE INTERPOLATION WITH NATURAL BOUNDARY CONDITION FOR SCATTERED DATA
Xu Yingxiang1,2, Yu Gaohang3, Guan Lutai1
1. Department of Scientific Computation and Computer Application, Sun Yat-sen University, Guangzhou 510275, China;
2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China;
3. College of Mathematics and Computer Science, Gannan normal University, Ganzhou 341000, Jiangxi, China
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Abstract： 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.

 引用本文: . 散乱数据带自然边界条件三元多项式样条插值[J]. 计算数学, 2011, 33(4): 423-446. . TRIVARIATE POLYNOMIAL SPLINE INTERPOLATION WITH NATURAL BOUNDARY CONDITION FOR SCATTERED DATA[J]. Mathematica Numerica Sinica, 2011, 33(4): 423-446.

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