摘要
借助奇异函数的新型求积公式，建立了解第二类弱奇异积分方程的高精度Ｎｙｓｔｒｍ算法及渐近展开式。数值试验表明本文的算法较常用的投影法计算量大大减少，而精度却很高，其外推法打破了Ｆ．
The high accuracy Nystrm methods are presented for solving weakly singular integral equations of the second kind based on the quadrature rules by A.Sidi and M.Israeli in 4 . The asymptotics of the error of the approximations are shown, that is, by using extrapolations, the accuracies can be improved, which corrects F.Chatelin's point of view that the extrapolation for non smooth kernel is no longer founded theoretically.
出处
《计算物理》
CSCD
北大核心
1997年第3期349-355,共7页
Chinese Journal of Computational Physics
基金
国家自然科学基金
关键词
第二类
弱奇异
积分方程
外推
估算误差
weakly singular Fredholm integral equation of the second kind
Nytrm method
periodic transformation.
