| 解析延拓问题的修改核正则化方法 | |
| Alternative Title | A modified kernel method for analytic continuation |
| 赵敏华 | |
| Thesis Advisor | 傅初黎 |
| 2009-05-21 | |
| Degree Grantor | 兰州大学 |
| Place of Conferral | 兰州 |
| Degree Name | 硕士 |
| Keyword | 不适定问题 数值解析延拓 正则化 修改核方法 收敛性估计 |
| Abstract | 解析延拓问题是实际应用中经常遇到的问题，这类问题是严重不适定的，使用一般的数值求解方法得不到有意义的结果，为此需要引入有效的正则化方法. 在本文中我们使用修改核正则化方法数值求解解析延拓问题. 文中在我们选择合适的正则化参数后得到了解的收敛性估计. 我们还进行了数值试验，数值例子说明了我们所给的方法是有效的. |
| Other Abstract | The problems of analytic continuation are frequently encountered in many practical applications. These problems are severely ill-posed and impossible to solve using classical numerical methods. Therefore some effective regularization methods are necessary to solve them. In this thesis we propose a modified kernel method for stable analytic continuation. The convergence estimates under an appropriate choice of the regularization parameter are obtained. Some numerical examples show that the proposed method is effective. |
| URL | 查看原文 |
| Language | 中文 |
| Document Type | 学位论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/225009 |
| Collection | 数学与统计学院 |
| Recommended Citation GB/T 7714 | 赵敏华. 解析延拓问题的修改核正则化方法[D]. 兰州. 兰州大学,2009. |
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