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| 摘要: |
| 本文研究了数值微分问题.利用基于正交多项式理论下的积分算子方法,获得了可以稳定逼近已知函数任意阶导数的结果,推广了Lanczos积分方法的结果. |
| 关键词: 数值微分 反问题与不适定问题 正交多项式 积分法 |
| DOI： |
| 分类号:O241.4 |
| 基金项目:国家自然科学基金项目(61070009). |
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| NUMERICAL DIFFERENTIAL FOR ARBITRARY ORDER APPROXIMATION STEADILY BASED ON ORTHOGONAL POLYNOMIAL |
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WU Chuan-sheng,ZHOU Yang,HUANG Xiao-wei
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| Abstract: |
| In this paper, we investigate the numerical differentiation of higher order. Based on orthogonal polynomial theory, integral operator method is utilized. Using the proposed method we can estimate any order derivatives of approximately specified functions. The new method also generalized the result of the Lanczos's. |
| Key words: numerical differentiation ill-posed problem orthogonal polynomial integral method |
