A Taste of Inverse Problems: Basic Theory and Examples - Softcover

Hanke, Martin

Softcover

ISBN 10: 1611974933 ISBN 13: 9781611974935

Publisher: Society for Industrial & Applied Mathematics,U.S., 2017

Synopsis

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.

About this title

About the Author

Martin Hanke is a Professor of Mathematics at the Johannes Gutenberg-University in Mainz, Germany. He works in numerical analysis and his research focuses on inverse and ill-posed problems, the development of general regularization methods, and the analysis of sophisticated algorithms for specific inverse problems.

Edition details

• Publisher: Society for Industrial & Applied Mathematics,U.S.
• Publication date: 2017
• Language: English
• ISBN 10: 1611974933
• ISBN 13: 9781611974935
• Binding: Paperback
• Number of pages: 162