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]](/uploads/image/z/7258331-11-1.jpg?t=%E8%B0%81%E7%9F%A5%E9%81%93%E6%A2%AF%E5%BD%A2%E6%B3%95%E5%92%8C%E8%BE%9B%E6%99%AE%E6%A3%AE%E6%B3%95%E7%9A%84%E8%AF%AF%E5%B7%AE%E5%88%86%E6%9E%90%E7%9A%84%E5%85%AC%E5%BC%8F%E6%98%AF%E6%80%8E%E4%B9%88%E6%9D%A5%E7%9A%84%3FThe+error+of+the+composite+trapezoidal+rule+is+the+difference+between+the+value+of+the+integral+and+the+numerical+result%3AThere+exists+a+number+%CE%BE+between+a+and+b%2Csuch+that%5B4%5D)
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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]
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
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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