多重Newton-Cotes积分及其系数

Multiple Newton-Cotes Integral and the Coefficients

定义并给出了生成多元Lagrange插值多项式算法,给出了二元双一次、双二次、双三次Newton-Cotes系数以及二重数值积分公式,文中对所给算例进行了实算,计算结果和理论分析完全一致.

In this paper,we propose to define and generate algorithms of multi-variant Lagrange interpolation polynomial.We propose bilinear,biquadratic and bicubic Newton-Cotes coefficients and tow-dimensional numerical integration formula.We compute concretely over examples given in this paper and the results are completely consistent with our theoretical analysis.