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The Resource A taste of inverse problems : basic theory and examples, Martin Hanke, Johannes Gutenberg-Universität Mainz, Mainz, Germany

A taste of inverse problems : basic theory and examples, Martin Hanke, Johannes Gutenberg-Universität Mainz, Mainz, Germany

Label
A taste of inverse problems : basic theory and examples
Title
A taste of inverse problems
Title remainder
basic theory and examples
Statement of responsibility
Martin Hanke, Johannes Gutenberg-Universität Mainz, Mainz, Germany
Creator
Contributor
Author
Publisher
Subject
Language
eng
Summary
Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data. This book presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this material has previously appeared only in journal articles. A Taste of Inverse Problems: Basic Theory and Examples rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations;presents diverse real-world applications, important test cases, and possible pitfalls; and treats these applications with the same rigor and depth as the theory
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Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Other titles in applied mathematics
Target audience
adult
A taste of inverse problems : basic theory and examples, Martin Hanke, Johannes Gutenberg-Universität Mainz, Mainz, Germany
Label
A taste of inverse problems : basic theory and examples, Martin Hanke, Johannes Gutenberg-Universität Mainz, Mainz, Germany
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/doi/book/10.1137/1.9781611974942
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Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type MARC source
rdacontent
Contents
Preface -- 1. Amuse-Gueule : numerical differentiation -- part I. Ill-posed problems -- 2. Compact operator equations -- 3. The Hausdorff-Tikhonov lemma -- 4. Computerized x-ray tomography -- 5. The Cauchy problem for the Laplace equation -- 6. The factorization method in EIT -- part II. Tikhonov regularization -- 7. Tikhonov's method -- 8. The discrepancy principle -- 9. Smoothing splines -- 10. Deconvolution and imaging -- 11. Evaluation of unbounded operators -- part III. Iterative regularization -- 12. Landweber iteration -- 13. The discrepancy principle -- 14 iterative solution of the Cauchy problem -- 15. The conjugate gradient method -- 16. The Gerchberg-Papoulis algorithm -- 17. Inverse source problems -- Appendices. A. The singular value decomposition -- B. Sobolev spaces -- C. The Poisson equation -- D. Sobolev spaces (cont.) -- E. The Fourier transform -- F. The conjugate gradient iteration
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unknown
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{'f': 'http://opac.lib.rpi.edu/record=b4298604'}
Extent
1 PDF (viii, 162 pages).
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611974942
Lccn
2017022863
Media category
electronic
Media MARC source
isbdmedia
Publisher number
OT153
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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