| 第二类Abel型积分方程的高精度组合算法与后验估计 |
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| 引用本文： | 吕涛,黄勇.第二类Abel型积分方程的高精度组合算法与后验估计[J].系统科学与数学,2004,24(1):110-117. |
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| 作者姓名： | 吕涛 黄勇 |
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| 作者单位： | 1. 四川大学数学学院,四川,成都,610064
2. 四川大学工商管理学院,成都,610064 |
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| 摘 要： | 本文提出解第二类Abel型积分方程的高精度组合算法与后验估计,理论与算例皆表明本文方法省计算时间、省存贮,精度高且近似解有后验估计。
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| 关 键 词： | Abel型积分方程 组合算法 后验估计 |
| 修稿时间： | 2001年7月23日 |
HIGH ACCURACY COMBINATION ALGORITHM AND A POSTERIORI ERROR EASTIMATION FOR SOLVING SECOND KIND ABEL INTEGRAL EQUATIONS |
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| Tao LV,Yong HUANG.HIGH ACCURACY COMBINATION ALGORITHM AND A POSTERIORI ERROR EASTIMATION FOR SOLVING SECOND KIND ABEL INTEGRAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,2004,24(1):110-117. |
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| Authors: | Tao LV Yong HUANG |
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| Institution: | (1)Mathematical College,Sichuan University, Chengdu 610064;(2)College of Business and Administration,Sichuan University, Chengdu 610064 |
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| Abstract: | In this paper, a high accuracy combination algorithm and a posteriori error eastimation for solving the second kind Abel integral equations are presented. The theory and numerical example show that it is very effective to obtain a high order of accuracy and save storage capacity and computational work. |
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| Keywords: | Abel integral equation combination algorithm a posterioi error estimation |
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