数值分析中的欧拉算法 本文建立在數值分析的理論基礎上，能夠在Matlab環境中運行，給出了理論分析、程序清單以及計算結果。更重要的是，還有詳細的對算法的框圖說明。首先運用Romberg積分方法對給出定積分進行積分，然後對得到的結果用插值方法，分別求出Lagrange插值多項式和Newton插值多項式，再運用最小二乘法的思想求出擬合多項式，最後對這些不同類型多項式進行比較，找出它們各自的優劣。

-numerical analysis of Euler algorithm is based on numerical analysis based on the theory that, Matlab to run, given the theoretical analysis, procedures and results list. More importantly, there are details of the flow chart of the algorithm. Romberg first use of the method is integral for integration, Then the results obtained by using the interpolation method were obtained Lagrange polynomial interpolation polynomial interpolation and Newton, re-use of least squares fitting of thinking obtained polynomial, the last of these different types of polynomial, identify their respective strengths and weaknesses.