二重积分的数值计算方法

在本文中，根据单重积分数值计算方法的基础上，介绍了插值型的二重积分数值计算方法，并推出了三种二重积分数值计算方法。首先通过单重积分的梯形公式，中矩形公式，simpson公式推出了相应的二重积分数值计算公式，然后通过引进二重积分代数精度概念估计了新推出公式的误差。理论和数值实验结果表明推出的计算公式可行，具有广泛应用价值。

Research on Numerical Computation Method for Double Integral

In this paper, on the basis of the numerical calculation method of the single integral, a method for calculating the double integral numerical interpolation is putted forward, and three methods for calculating the double integral numerical are introduced. Firstly, based on trapezoidal formula of the single integral and mid rectangle formula as well as the Simpson formula, a computation method for the corresponding numerical double integral is deduced. Then the error of the formula is estimated through the concept of algebraic accuracy of double integral. The theoretical and numerical results show that the computing formula is feasible and has the widespread application value.