书目名称 | Introduction to Inverse Problems for Differential Equations |
编辑 | Alemdar Hasanov Hasanoğlu,Vladimir G. Romanov |
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概述 | First systematic and comprehensive introductory book on inverse problems for differential equations.Self-contained and accessible also to beginning graduate students.Can be used as a backbone for a le |
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描述 | .This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering..The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations..In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techni |
出版日期 | Book 20171st edition |
关键词 | inverse problems; inverse coefficient problems; source problems; gradient methods; ill-posed problems; pa |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-62797-7 |
isbn_softcover | 978-3-319-87399-2 |
isbn_ebook | 978-3-319-62797-7 |
copyright | Springer International Publishing AG 2017 |