| 朱春钢,王仁宏.拟贯穿剖分上的二元样条Lagrange插值[J].数学年刊A辑,2009,30(2):221~230 |
| 拟贯穿剖分上的二元样条Lagrange插值 |
| Lagrange Interpolation by Bivariate Splines over Quasi-cross-cut Partitions |
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| DOI： |
| 中文关键词: 二元样条 Lagrange插值 分片代数曲线 NSther型定理 拟贯穿剖分 |
| 英文关键词:Bivariate spline, Lagrange interpolation, Piecewise algebraic curve,
N¨other-type theorem, Quasi-cross-cut partition |
| 基金项目:国家自然科学基金 |
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| 中文摘要: |
| 分片代数曲线足经典代数曲线的推广.利用沿分片代数曲线插值以及分片代数曲线的Nother型定理,给出了一类构造拟贯穿剖分上的二元样条Lagrange插值适定结点组的一种方法,并给出具体算法与实例. |
| 英文摘要: |
| The piecewise algebraic curve is a generalization of the classical algebraic curve.
By using interpolation along a piecewise algebraic curve and N¨other-type theorem, a method
for construction Lagrange interpolation sets for bivariate spline spaces over quasi-cross-cut
partitions is presented. Moreover, an algorithm for construction of Lagrange interpolation
sets is given. |
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