包邮反问题的二进制恢复方法(英文)
¥22.6
(8.1折)
?
1星价
¥22.6
2星价¥22.6
定价¥28.0
暂无评论
图文详情
- ISBN:9787560398549
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 开本:21cm
- 页数:148页
- 出版时间:2022-05-01
- 条形码:9787560398549 ; 978-7-5603-9854-9
内容简介
在本书中, 作者调查研究了解决某些反问题的方法, 根据阿达玛 (Hadamard) 的观点, 如果存在唯一的解并且该解持续依赖于数据, 那么这个问题就很突出了。如果该解的某一个性质不满足这个问题, 那么这种情况称为不适定的。逆问题通常是不适定的。在许多应用中, 可能不需要去详细地解反间题, 但在本书中作者研究了解决这种二进制反问题的三种不同的方法。本书共分为五章, 具体内容包括线性正则化、非线性吉洪诺夫 (Tikhonov) 正则化、金兹堡·朗道 (Ginzburg-Landau) 正则化等相关理论。
目录
1 Introduction
I Regularization Methods
2 Analysis of regularization methods
2.1 Linear regularization
2.2 Nonlinear Tikhonov regularization
2.3 BV functions, sets of finite perimeter and their relation to level sets
2.4 Level set regularization
2.4.1 Analysis of Level Set Regularization
2.4.2 Towards an Analysis of Level Set Regularization Techniques
2.4.3 Minimizing Concept
2.4.4 Convergence Analysis ffinctiohs
2.5 Ginzburg-Landau regularization
2.5.1 Ginzburg-Landan functional
2.5.2 Regularization with a Ginzburg-Landau functional
3 Numerical implementation of regularizatiou methods
3.1 Continuous regularizatinn and a connection to iterative regularization
3.1.1 Continuous regularization
3.1.2 Convex analysis
3.1.3 Connection between continuous and iterative regu]arization
3.2 Implementation of the level set regularization
3.2.1 Numerical solution
3.2.2 Iterative Regularization and the Relation to Dynamic Level Set Methods
3.3 Implementation of the Ginzhurg-Landan regularization method
3.4 Numerical examples
3.4.1 The inverse conductivity problem
3.4.2 Implementation
3.4.3 Results and Discussion
II A parabolic-elliptic problem
4 The direct problem
4.1 Analysis of the parabolic-elliptic problem
4.2 Numerical realization of the parabolic-elliptic problem
4.2.1 Reformulation of the direct problem
4.2.2 Convergence analysis of the reformulated problem
4.2.3 Implementation of the reformulated problem
4.2.4 Numerical examples
5 The inverse problem
5.1 The Factorization Method
5.1.1 The Factorization of A0 - A1
5.1.2 Range characterization
5.1.3 Characterization of the inclusion
5.2 Implementation of the inverse problem
5.2.1 Implementation by regularization
5.2.2 Implementation applying the Picard criterion
5.2.3 Numerical examples
A Additional results:constraint ill-posed operator equation
A.1 A modified level set regularization method
A.2 Ginzburg-Landau Regularization
A.3 Implementation of the constraint operator equation
A.4 Examples of the numerical implementation
B Additional results:Image processing
展开全部
本类五星书
本类畅销
-
宇宙与人
¥13.0¥35.0 -
新太阳系
¥9.9¥35.0 -
世纪幽灵-走近量子纠缠
¥12.0¥28.0 -
物理学之美-插图珍藏版
¥27.6¥69.0 -
昆虫的生存之道
¥14.2¥38.0 -
为了人人晓得相对论
¥6.9¥13.5 -
技术史入门
¥17.4¥48.0 -
东京文艺地图(九品)
¥14.2¥38.0 -
假设的世界:一切不能想当然
¥19.1¥45.0 -
怎样解题
¥17.2¥29.0 -
118个数学竞赛不等式
¥45.5¥78.0 -
数学的魅力;初等数学概念演绎
¥12.5¥22.0 -
普林斯顿微积分读本-(修订版)
¥69.3¥99.0 -
130种美鸟彩图馆
¥17.1¥39.8 -
科学与现代性:整体科学理论
¥18.2¥33.0 -
模论
¥5.0¥3.6 -
运筹学原理与方法
¥24.0¥72.0 -
数学分析理论原理与方法时间探析
¥29.8¥90.0 -
刘薰宇的数学三书:原来数学可以这样学全3册
¥35.2¥118.0 -
趣味物理学问答
¥19.5¥46.0