谁知道梯形法和辛普森法的误差分析的公式是怎么来的?The error of the composite trapezoidal rule is the difference between the value of the integral and the numerical result:There exists a number ξ between a and b,such that[4]

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谁知道梯形法和辛普森法的误差分析的公式是怎么来的?The error of the composite trapezoidal rule is the difference between the value of the integral and the numerical result:There exists a number ξ between a and b,such that[4]

谁知道梯形法和辛普森法的误差分析的公式是怎么来的?The error of the composite trapezoidal rule is the difference between the value of the integral and the numerical result:There exists a number ξ between a and b,such that[4]
谁知道梯形法和辛普森法的误差分析的公式是怎么来的?
The error of the composite trapezoidal rule is the difference between the value of the integral and the numerical result:

There exists a number ξ between a and b,such that[4]

谁知道梯形法和辛普森法的误差分析的公式是怎么来的?The error of the composite trapezoidal rule is the difference between the value of the integral and the numerical result:There exists a number ξ between a and b,such that[4]
泰勒展开到f'项,用拉格朗日余项
积分公式对一次函数精确成立,所以误差就是二阶的拉格朗日余项
一般数值分析的书上都有推导过程,还是自己看下书理解一下比较好吧