THE WORST CASE COMPLEXITY OF THE FREDHOLM EQUATION OF THE SECOND KIND WITH FREE TERM IN H'(Г) |
| |
引用本文: | 蒋田仔.THE WORST CASE COMPLEXITY OF THE FREDHOLM EQUATION OF THE SECOND KIND WITH FREE TERM IN H''''(Г)[J].高等学校计算数学学报(英文版),1997(2). |
| |
作者姓名: | 蒋田仔 |
| |
作者单位: | Jiang Tian-zi School of Mathematics,The University of New South Wales,Sydney 2052,Australia and National Laboratory of Pattern Recognition,Institute of Automation Chinese Academy of Sciences,Beijing 100080,PRC |
| |
基金项目: | This work was partially supported by the Chinese National Science Fundation,the Chinese National High Technology Program(863).and the UNSW Vice-Chancellor's Post Doctoral Fellowship in Australia. |
| |
摘 要: | This paper deals with the approximate solution of the Fredholm equation Lu= f of the second kind with f ∈H'(Γ). First, we give the order of the n-the optimal radius in the worst case setting. Then, we show that the Galerkin method using 2n+1 inner products of f has minimal error. Finally, we give the estimate of the ε-complexity of the Fredholm problem of the second kind and Galerkin method in the worst case setting.
|
本文献已被 CNKI 等数据库收录! |