基于MATLAB的Gauss积分节点系数研究  

Nodes and Coefficients of Gauss Integral under MATLAB

作　　者：谢彦红[1] 李金娜[1] 赵旋[2] 

机构地区：[1]沈阳化工大学,沈阳110142 [2]浙江工业大学,杭州310023

出　　处：《沈阳农业大学学报》2010年第2期254-256,共3页Journal of Shenyang Agricultural University

基　　金："十一五"辽宁省规划课题项目(JG09DB129)

摘　　要：研究了带权的Gauss求积公式。Gauss型积分的代数精度高,在科学研究中有重要的应用价值。用特殊函数对带权的Gauss求积公式中的节点xk及系数Ak的计算进行了深入探讨和研究,然后借助MATLAB软件编写出求解Gauss节点和系数的程序,计算得出了直至n=20的Gauss节点和对应的系数,这一结果为科学计算提供了很大便利。The problem of weighted Gauss-type quadrature formulas were studied. Because of high algebra accuracy, Gauss integral can solve some of the calculations which could not be solved by other quadrature formulas. Gauss nodes and Gauss coefficients have important value in scientific research. Gauss nodes and coefficients were analysed with special function.With the help of MATLAB software, Gauss nodes to n=20 were calculated and corresponding Gauss coefficients were obtained. This work provides great facilitation for the other scientific computing.

关 键 词：GAUSS积分 Gauss节点 Gauss系数 代数精度 MATLAB 

分 类 号：O241.4[理学—计算数学]