CAJ | 학술논문

数值微分是一个在Hadamard意义下典型的不适定问题，原始数据的小的误差将可能导致近似解对于真解的严重偏离；文章将数值微分转化为算子方程，讨论采用辛普森积分公式、梯形公式及矩形公式得到的离散矩阵对数值结果的影响。
수치미분시일개재Hadamard의의하전형적불괄정문제，원시수거적소적오차장가능도치근사해대우진해적엄중편리；문장장수치미분전화위산자방정，토론채용신보삼적분공식、제형공식급구형공식득도적리산구진대수치결과적영향。
Numerical differentiation is a classical ill-posed in the sense of Hadamard,this means that small errors in the measurement may cause very large errors in the numerical results;This paper converted numerical differentiation in-to operator equation, and discussed influence of different discrete matrices obtained by trapezoid formula and Simpson integral formula and rectangle formula to numerical result .