摘要
数值积分法是数值分析中的最基本方法之一,数值积分的研究无论是在数学的理论上还是在工程实践中都是具有非常重要意义的.为解决二重积分的近似计算问题,研究了矩形区域上二重数值积分的计算问题,给出了梯形求积公式和Simpson求积公式以及复化的梯形求积公式和复化的Simpson求积公式,并通过几个典型的例子验证公式的有效性.
Numerical integration method is the basic method in numerical analysis. The study of numerical integration is significant not only in mathematical theory but also in engineering practice. In order to solve the double integral approximation problem,this paper studies the calculation of double integral in rectangular area,and presents several formulas,including trapezoid quadrature formula,Simpson quadrature formula,the complex of the trapezoid quadrature formulas and complex of the Simpson quadrature formula. The validities of these formulas are proved by several typical examples.
作者
邢会超
李锋
赵鹏军
Xing Huichao;Li Feng;Zhao Pengjun(School of Mathematics,Yunnan Normal University,Kunming Yunnan 650500;School of Mathematics and Computer Applications,Shangluo University,Shangluo Shaanxi 726000,China)
出处
《曲靖师范学院学报》
2018年第3期1-7,共7页
Journal of Qujing Normal University
基金
国家自然科学基金项目"非凸框架下大规模半定规划求解算法及其应用研究"(61663049)
关键词
二重积分
数值积分
梯形求积公式
Simpson求积公式
Double Integral
Numerical integration
Trapezoidal quadrature formula
Simpson quadrature formula
