期刊文献+

解第一类边界积分方程的高精度机械求积法与外推 被引量:9

QUADRATURE METHODS WITH HIGH ACCURACY AND EXTRAPOLATION FOR SOLVING BOUNDARY INTEGRAL EQUATIONS OF THE FIRST KIND
原文传递
导出
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..
作者 吕涛 黄晋
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
  • 相关文献

参考文献1

二级参考文献3

共引文献9

同被引文献20

  • 1程攀,黄晋,王前东,吕涛.一类边界积分方程的高精度机械求积法[J].四川大学学报(自然科学版),2004,41(6):1109-1115. 被引量:3
  • 2杨荣奎,吕涛.多角形域上第一类边界积分方程的高精度配置法[J].工程数学学报,2004,21(F12):83-87. 被引量:1
  • 3祝家麟.用边界积分方程法解平面双调和方程的Dirichlet问题[J].计算数学,1984,6(3):278-288.
  • 4王连祥.数学手册[M].人民教育出版社,1979.87-90.
  • 5Yang R K, LU T. Mechanical quadrature methods and their extrapolations for solving boundary integral equations of the conductivity problem with discontinuous media[J]. Engineering Analysis with Boundary Elements, 2008, 32:176.
  • 6Sloan L, Spence A. The Galerkin method for integral equations of the first kind with logarithmic kernel [J]. IMAJ NumerAnal, 1988, 8: 105.
  • 7Chandler G. Galerkin's method for boundary integral equations on polygonal domains[J]. I Aust Math Soc Ser B, 1984, 26: 1.
  • 8Sidi A. A new variable transformation for numerical integration[J]. Internation of Num Math ISNM, Birkauer, 1993, 112~ 359.
  • 9Sidi A, Israeli M. Quadrature method for periodic singular and weakly singular Fredholm integral equations[J]. J Scientific Computing, 1988, 3:201.
  • 10吕涛,计算数学,2000年,22卷,1期,5页

引证文献9

二级引证文献14

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部