Overview
- Time-dependent inverse problems: This is a current hot topic. A monograph or collection in this area is missing
- Challenging and important real-word applications: The book will comprise applications that cannot be addressed in the usual (classical) static inverse problems setting
- Mixture of theoretical and numerical aspects: The book will contain contributions on numerical methods for dynamic inverse problems as well as on theoretical aspects such as uniqueness theorems, tangential cone conditions or microlocal analysis
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About this book
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Keywords
Table of contents (14 chapters)
Editors and Affiliations
About the editors
Thomas Schuster studied mathematics and computer science at Saarland University in Saarbrücken where he also got his PhD (1999) and Habilitation (2004). After positions as a Visiting Assistant Professor at Tufts University Medford, MA, USA, as an Associate Professor for Applied Mathematics at Helmut Schmidt University Hamburg, as a Full Professor for Numerical Mathematics in Oldenburg he holds since 2012 a Chair as Full Professor for Numerical Mathematics at Saarland University in Saarbrücken. His research are theoretical foundations and applications for inverse and ill-posed problems. Besides the extension of regularization theory from classical settings to Banach spaces, he currently investigates the application of concepts from machine learning to the solution of inverse problems. The applications of his research range from computerized and terahertz tomography, vector and tensor field tomography, to magnetic particle imaging and damage detection in elastic materials. He co-authored three monographs and published more than 60 journal and proceeding articles. His research was supported by the German Science Foundation, the Federal Ministry of Education and Research, the Federal Ministry for Economic Affairs and Energy, and industrial partners. Currently he acts as an Editorial Board Member of Inverse Problems and Mathematical Problems in Engineering.
Anne Wald studied mathematics and physics at Saarland University in Saarbrücken, Germany. She received her master’s degree in mathematics in 2012 and her diploma in physics in 2013. In 2017, she finished her Ph.D., also at Saarland University, where she currently works as a senior researcher. In her research, she mainly focuses on inverse problems in medicine and engineering, particularly on modeling aspects, mathematical analysis as well as fast and stable solution techniques. Applications include terahertz tomography, magnetic particleimaging, computerized tomography, and parameter identification for the monitoring of material structure. Her research is partly funded by the German Ministry of Education and Research.
Bibliographic Information
Book Title: Time-dependent Problems in Imaging and Parameter Identification
Editors: Barbara Kaltenbacher, Thomas Schuster, Anne Wald
DOI: https://doi.org/10.1007/978-3-030-57784-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-57783-4Published: 24 February 2021
Softcover ISBN: 978-3-030-57786-5Published: 24 February 2022
eBook ISBN: 978-3-030-57784-1Published: 23 February 2021
Edition Number: 1
Number of Pages: XIV, 456
Number of Illustrations: 26 b/w illustrations, 64 illustrations in colour
Topics: Math Applications in Computer Science, Image Processing and Computer Vision, Numerical Analysis