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Iterative regularization methods for nonlinear iII-posed problems / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer.
- Format:
- Book
- Author/Creator:
- Kaltenbacher, Barbara.
- Series:
- Radon series on computational and applied mathematics ; 6.
- Radon series on computational and applied mathematics ; 6
- Language:
- English
- Subjects (All):
- Differential equations, Partial--Improperly posed problems.
- Differential equations, Partial.
- Iterative methods (Mathematics).
- Physical Description:
- 1 online resource (204 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Berlin ; New York : Walter de Gruyter, c2008.
- Language Note:
- English
- Summary:
- Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.
- Contents:
- Frontmatter
- Contents
- 1 Introduction
- 2 Nonlinear Landweber iteration
- 3 Modified Landweber methods
- 4 Newton type methods
- 5 Multilevel methods
- 6 Level set methods
- 7 Applications
- 8 Comments
- Backmatter
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 9786612196997
- 9781282196995
- 1282196995
- 9783110208276
- 311020827X
- OCLC:
- 476197162
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