【摘要】 在工程和科学计算中,经常会遇到各种类型的积分问题.对于被积函数过于复杂,其原函数很难求得,甚至原函数根本就不是初等函数;或不知道被积函数的解析式,而只给出被积函数在有限个点处的函数值等情况,需要利用数值积分方法求积分的近似值.给出了两种逐次分半求积算法和二重积分的复合梯形算法,并利用这些方法解决了几类实际问题.更多还原

【Abstract】 We often encounter various types of integration problems in engineering and scientific computation. The integrand is too complex,even not the elementary function; or the analytical formula of the integrand is unknown. Only some nodes are given. There is a need to solve the approximation of integration. In this paper,we give two iterative algorithms of numerical integration and composite trapezoidal role for double integration,and solve some practical problems by using these iterative methods.更多还原