解第一类边界积分方程的高精度机械求积法与外推  

QUADRATURE METHODS WITH HIGH ACCURACY AND EXTRAPOLATION FOR SOLVING BOUNDARY INTEGRAL EQUATIONS OF THE FIRST KIND

作　　者：吕涛[1] 黄晋[2] 

机构地区：[1]中国科学院成都计算机应用研究所,成都610041 [2]成都市第七中学,成都610041

出　　处：《计算数学》2000年第1期59-72,共14页Mathematica Numerica Sinica

基　　金：国家自然科学基金

摘　　要：By means of Side-Israeli’s quadrature reules, quadrature methods for solving boundary integral equations of the first kind are presented, which have high accuracy O(h3). Moreover, the asymptotic expansions with the odd pwoers h2μ-1 （μ= 2, 3） of the errors are shown, that is, using extrapolations, we can improve the accuracy order of approximations..By means of Side-Israeli's quadrature reules, quadrature methods for solving boundary integral equations of the first kind are presented, which have high accuracy O(h^(3)). Moreover, the asymptotic expansions with the odd pwoers h^(2μ-1) (μ= 2, 3) of the errors are shown, that is, using extrapolations, we can improve the accuracy order of approximations..

关 键 词：第一类 边界积分方程 求积方法 外推 精度 

分 类 号：O241[理学—计算数学]