兰州大学机构库 >数学与统计学院
解析延拓问题的修改核正则化方法
Alternative TitleA 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 AbstractThe 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
Identifierhttps://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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