高精度的数值积分对偶格式及其数值实验  

High Order Accurate Dual Formulae of Numerical Integration Formulae and Theirs Applications

作　　者：徐伟[1] 郑华盛[1] 陈凌蕙[1] 

机构地区：[1]南昌航空大学数学与信息科学学院,江西南昌330063

出　　处：《江西教育学院学报》2009年第6期1-4,共4页Journal of Jiangxi Institute of Education

基　　金：江西省自然科学基金资助项目(0611096);江西省教育厅2008年度科技项目(GJJ08224);南昌航空大学博士启动基金项目(EA200607031)

摘　　要：构造了Simpson、高斯及一个含导数项三类数值积分公式的对偶格式,得到它们对应的校正解,提高了对应数值积分公式的数值计算精度。最后,给出了几个数值算例,比较了用三类数值积分公式及其对偶解与校正解进行计算的数值结果,计算结果表明校正解和对偶解具有比三类数值积分近似解更好的精度和更快的收敛速度。The dual schemes of Simpson, Gauss numerical integration formulae and a numerical integration formulae that contain derivative are constructed, and high order accurate dual modified solutions are obtained. These dual modified solutions improve computational accuracy of numerical integration formulae. Finally, several typical numerical experiments are given. Numerical results show that dual modified solutions and dual solutions have the higher computational accuracy and faster convergence rate than that of the corresponding numerical integration formulae. Key Words：

关 键 词：高精度 数值积分 对偶格式 

分 类 号：O172.2[理学—数学]