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拟贯穿剖分上的二元样条Lagrange插值
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O241.3[理学—计算数学;理学—数学]
  • 作者机构：[1]大连理工大学应用数学系,辽宁大连116024
  • 相关基金：国家自然科学基金（No.60373093,No.60533060,No.10726068,No.10801024）资助的项目.
作者： 朱春钢[1], 王仁宏[1]
关键词： 二元样条, LAGRANGE插值, 分片代数曲线, Nther型定理, 拟贯穿剖分, Bivariate spline, Lagrange interpolation, Piecewise algebraic curve Nother-type theorem, Quasi-cross-cut partition
中文摘要：

分片代数曲线是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 NSther-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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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264