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..
出处
《计算数学》
CSCD
北大核心
2000年第1期59-72,共14页
Mathematica Numerica Sinica
基金
国家自然科学基金
关键词
第一类
边界积分方程
求积方法
外推
精度
Boundary Integral equations of the first kind, Quadrature methods, Extrapolation