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基于扰动模型的非线性 ODE 局部影响分析

李慧慧 岳晓鹏

纺织高校基础科学学报Issue(1):113-115,3.
纺织高校基础科学学报Issue(1):113-115,3.

基于扰动模型的非线性 ODE 局部影响分析

Local influence analysis of nolinear ordinary differential equations based on perturbation model

李慧慧 1岳晓鹏1

作者信息

  • 1. 西安电子科技大学数学与统计学院,陕西西安710071
  • 折叠

摘要

Abstract

One technique for estimating parameters of nonlinear ordinary differential equations and detecting the influential observations when the parameters being estimated was presented by introducing B-spline basis func-tions and perturbation model respectively .Generalized influential function is mentioned in the local influential a-nalysis .In the end ,the formula of generalized Cook′s distance is given ,from which we can find that the algo-rithm will reduce computational load and improve the efficiency of computing .

关键词

非线性常微分方程/B样条基函数/广义影响函数/扰动模型

Key words

nonlinear ordinary differential equations/B-spline basis functions/generalized influential function/perturbation model

分类

数理科学

引用本文复制引用

李慧慧,岳晓鹏..基于扰动模型的非线性 ODE 局部影响分析[J].纺织高校基础科学学报,2014,(1):113-115,3.

基金项目

青年科学基金资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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