坐标平面上的二重积分的数值算法  

Numerical Algorithm for Double Integrals on Coordinate Plane

作　　者：何洪英[1] 张世 HE Hongying;ZHANG Shilu(China West Normal University,Nanchong,Sichuan 637000)

机构地区：[1]西华师范大学,四川南充637000

出　　处：《绵阳师范学院学报》2020年第11期11-17,共7页Journal of Mianyang Teachers＇ College

基　　金：西华师范大学英才科研基金资助项目(17YC370).

摘　　要：给出了坐标平面上的二重积分的两组通用数值计算公式及计算误差,证明了算法收敛于理论解.解决了平面上二重积分的计算问题,确定了能直接写出积分算式的八类积分区域.为不能直接写出积分算式的积分区域的切割指出了方向,例举了各种积分区域的分割方法.The study gives two sets of general numerical calculation formulas and calculation errors for double integrals on the coordinate plane,and it is proved that the algorithm converges to the theoretical solution.The calculation of double integrals on the plane is solved,and eight types of integral domains that can directly write out integral calculation formulas are determined.It points out the direction to cut the domain of integration for which can't write the integral formula directly,and exemplifies various methods of dividing the integral area.

关 键 词：二重积分 积分区域 计算误差 积分算式 

分 类 号：O13[理学—数学]