圆域上二重积分数值计算的一种构造方法  

A Construction Method for the Numerical Calculation of Double Integrals Over Circular Fields

作　　者：娄汝馨 崔嵬 Lou Ruxin;Cui Wei(College of Data Science and Software Engineering,Baoding University,Baoding,Hebei 071000,China;School of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]保定学院数据科学与软件工程学院,河北保定071000 [2]天津师范大学数学科学学院,天津300387

出　　处：《保定学院学报》2022年第6期104-108,共5页Journal of Baoding University

摘　　要：基于等分圆周的思想,将圆域进行条形分割,然后在每个小矩形域上使用梯形求积公式,得出圆域上的复化梯形求积公式,最后通过数值算例验证了该公式的有效性.Based on the idea of equally dividing the circumference, this paper divides the circular region into strips, and then uses the trapezoidal quadrature formula on each small rectangular region to obtain the complex trapezoidal quadrature formula on the circular region. Finally, a numerical example is given to verify the effectiveness of the formula.

关 键 词：二重积分 数值计算 积分区域 圆域 

分 类 号：O241.4[理学—计算数学]