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重构高阶导数的磨光方法

赵振宇 贺国强

赵振宇, 贺国强. 重构高阶导数的磨光方法[J]. 应用数学和力学, 2008, 29(6): 696-704.
引用本文: 赵振宇, 贺国强. 重构高阶导数的磨光方法[J]. 应用数学和力学, 2008, 29(6): 696-704.
ZHAO Zhen-yu, HE Guo-qiang. Reconstruction of High Order Derivatives by New Mollification Methods[J]. Applied Mathematics and Mechanics, 2008, 29(6): 696-704.
Citation: ZHAO Zhen-yu, HE Guo-qiang. Reconstruction of High Order Derivatives by New Mollification Methods[J]. Applied Mathematics and Mechanics, 2008, 29(6): 696-704.

重构高阶导数的磨光方法

详细信息
    作者简介:

    赵振宇(1977- ),男,河北唐山人,博士(E-mail:wozitianshanglai@163.com);贺国强(1946- ),男,浙江镇海人,教授(联系人.Tel:+86-21-66134464;E-mail:gqhe@staff.shu.edu.cn).

  • 中图分类号: O241

Reconstruction of High Order Derivatives by New Mollification Methods

  • 摘要: 考虑由扰动数据重构原函数的导数问题.基于L-广义解正则化理论,提出了一个新的磨光方法的框架.给出一个具体的求解前3阶导数的算法,其中正则化策略选择了一种改进的TSVD(truncated singular value decomposition)方法(典则TSVD方法).数值结果进一步验证了理论结果及新方法的有效性.
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出版历程
  • 收稿日期:  2007-09-24
  • 修回日期:  2008-03-24
  • 刊出日期:  2008-06-15

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