数学杂志Issue(2)：397-406,10.
基于正交多项式下的数值微分任意阶稳定逼近
NUMERICAL DIFFERENTIAL FOR ARBITRARY ORDER APPROXIMATION STEADILY BASED ON ORTHOGONAL POLYNOMIAL
摘要
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.关键词
数值微分/反问题与不适定问题/正交多项式/积分法Key words
numerical differentiation/ill-posed problem/orthogonal polynomial/integral method分类
数理科学引用本文复制引用
吴传生,周洋,黄小为..基于正交多项式下的数值微分任意阶稳定逼近[J].数学杂志,2015,(2):397-406,10.基金项目
国家自然科学基金项目(61070009) （61070009）
